h**4 + 302*h**5.
-5*h**3*(h - 5)*(h + 114)
Suppose -9*v + 16 = -5*v, 0 = 5*i - 2*v + 6688. Let x = i + 2693/2. Solve 27/4*d + x*d**3 + 3/2 + 9/2*d**4 + 12*d**2 + 3/4*d**5 = 0 for d.
-2, -1
Let h be 90/(-1800) - 2/(-8). Let k(j) be the first derivative of h*j**3 - 1/5*j**2 + 15 + 1/10*j + 1/50*j**5 - 1/10*j**4. Factor k(g).
(g - 1)**4/10
Let k(d) be the first derivative of 39/14*d**2 - 54 + 36/7*d + 1/7*d**3. Factor k(j).
3*(j + 1)*(j + 12)/7
Let d(w) be the third derivative of 1/21*w**4 + 2/7*w**3 - 13*w**2 - 1/105*w**5 + 0*w - 1. Factor d(k).
-4*(k - 3)*(k + 1)/7
Suppose -70*i + 2*m = -72*i + 658, -1638 = -5*i + 2*m. Let s = -323 + i. Let -3/5*w**s + 0 + 12/5*w - 33/5*w**2 + 27/5*w**3 - 3/5*w**4 = 0. Calculate w.
-4, 0, 1
Let h = -802 - -805. Suppose 8*u**4 + 35*u**h + 24*u**2 - 69*u**3 - u**3 - 10*u**3 - 7*u**3 = 0. Calculate u.
0, 1/2, 6
Let p(x) be the second derivative of -x**7/105 - 4*x**6/25 - 33*x**5/50 + 19*x**4/15 + 56*x**3/5 - 246*x. What is j in p(j) = 0?
-7, -4, -3, 0, 2
Let r(z) be the first derivative of -z**8/3920 + z**7/980 + z**6/210 - z**5/35 + 18*z**3 + 132. Let x(c) be the third derivative of r(c). Factor x(i).
-3*i*(i - 2)**2*(i + 2)/7
Let h(l) be the second derivative of -5*l**7/42 + 5*l**6/6 + 9*l**5 + 20*l**4/3 - 320*l**3/3 - 360*l**2 + 39*l - 61. Find r, given that h(r) = 0.
-2, 2, 9
Let d(l) be the third derivative of l**5/100 + 69*l**4/8 + 172*l**3/5 + 3*l**2 + 2*l - 5. Solve d(w) = 0.
-344, -1
Let m be (3 + -1)*3*((-6448)/312)/(-62). Suppose -9/7*i**m + 36/7 + 12/7*i - 3/7*i**3 = 0. Calculate i.
-3, -2, 2
Suppose -3*m - z + 1 = 0, -7*m + 5*m + 5*z = -29. Factor 0 + 9 + 12*q**2 - 26*q - 2*q**m + 3.
2*(q - 2)*(5*q - 3)
Suppose -1/4*k**3 - 657018 - 14283*k - 207/2*k**2 = 0. What is k?
-138
Let d = -2826350/3 - -942190. Factor 5/3*q**4 - 455/3*q**2 + 0 - 230/3*q - d*q**3.
5*q*(q - 46)*(q + 1)**2/3
Let v be ((-77)/(-336))/((-70)/(-88)) + (-6)/21. Let m(a) be the third derivative of 0*a**3 + 0 + 0*a - v*a**6 + 1/35*a**5 - 5/84*a**4 + 7*a**2. Factor m(q).
-2*q*(q - 5)*(q - 1)/7
Let x = 115774 - 115771. What is q in x + 7/2*q + 1/2*q**2 = 0?
-6, -1
Let x(t) be the second derivative of -t**4/60 - 181*t**3/30 - t - 1413. Factor x(w).
-w*(w + 181)/5
Let q(z) be the third derivative of 0*z**3 - 25 - 1/66*z**5 + 1/22*z**4 + 0*z + 1/660*z**6 + z**2. Solve q(g) = 0 for g.
0, 2, 3
Let a(d) = 997*d**2 + 1978*d + 4. Let o(z) = 5984*z**2 + 11865*z + 28. Let t(x) = 39*a(x) - 6*o(x). Factor t(m).
3*(m + 2)*(993*m - 2)
Let w(q) be the second derivative of 3/10*q**3 - 1/20*q**4 + 3*q**2 + 0 + 20*q. Solve w(j) = 0.
-2, 5
Factor 0*f - 48/11*f**2 + 12/11*f**3 + 0 + 6/11*f**4.
6*f**2*(f - 2)*(f + 4)/11
Factor -20 + 9*v + 21/2*v**2 + 1/2*v**3.
(v - 1)*(v + 2)*(v + 20)/2
Let z(a) be the second derivative of -a**6/120 - 2*a**5/15 - 7*a**4/24 + 31*a**2 - 36*a. Let j(l) be the first derivative of z(l). Factor j(w).
-w*(w + 1)*(w + 7)
Solve 5414*y**2 + 1140*y**3 - 163734*y + 31484*y + 54578*y**2 + 3833*y**2 + 5*y**4 = 0 for y.
-115, 0, 2
Let t(v) be the third derivative of 0*v**4 - 2/7*v**3 - 9*v**2 + 0 + 1/140*v**5 + 2*v. Find h, given that t(h) = 0.
-2, 2
Factor -2/23*x**2 + 372/23*x + 374/23.
-2*(x - 187)*(x + 1)/23
Let b(h) be the first derivative of h**4/2 - 8*h**3 - 3389. Solve b(w) = 0.
0, 12
Let g(x) be the first derivative of 28/3*x**3 + 4*x**2 + 2/3*x**6 + 0*x + 9*x**4 + 46 + 4*x**5. Factor g(f).
4*f*(f + 1)**3*(f + 2)
Let u be (-8)/52 + (-153478)/(-169). Let t = 4556/5 - u. Factor t*q**2 + 4*q + 4/5*q**3 + 8/5.
4*(q + 1)**2*(q + 2)/5
Let t = 2864 - 2861. Let d(w) be the first derivative of -15/2*w**2 - 5/3*w**t - 10*w + 20. Let d(z) = 0. What is z?
-2, -1
Let a(g) be the third derivative of 0*g**4 - 55*g**2 + 0 - 1/1176*g**8 + 0*g**7 + 0*g + 1/105*g**5 + 1/140*g**6 + 0*g**3. Suppose a(m) = 0. What is m?
-1, 0, 2
Let u(s) be the first derivative of -2/21*s**3 - 4/7*s + 3/7*s**2 - 245. Let u(r) = 0. Calculate r.
1, 2
Suppose -4*l**5 - 87*l**3 - 76*l**3 + 21*l**4 + 39*l**4 - l**5 + 63*l**3 = 0. Calculate l.
0, 2, 10
Let w(i) be the third derivative of 0*i + 1/20*i**5 + 33 + 1/8*i**4 - 3*i**3 - i**2. Factor w(o).
3*(o - 2)*(o + 3)
Let q(g) be the first derivative of g**4/2 + 32*g**3/3 + 41*g**2 + 52*g + 2638. Determine y, given that q(y) = 0.
-13, -2, -1
Let t(c) be the second derivative of -c**5/5 + 67*c**4 - 1180*c**3/3 - 1584*c**2 - 40*c + 15. Factor t(q).
-4*(q - 198)*(q - 4)*(q + 1)
Let h be (-34)/(-85)*110/(-6)*36/(-66). What is d in -6/5*d + 8/5*d**h - 8/5*d**2 + 4/5*d**3 + 0 + 2/5*d**5 = 0?
-3, -1, 0, 1
Let j(t) = 8*t**3 - 280*t**2 + 270*t + 551. Let f(k) = 5*k**3 - k**2 - 1. Let v(a) = -f(a) + j(a). Suppose v(w) = 0. What is w?
-1, 2, 92
Let x = 1/3396 + 212/849. Solve 3/2 + 5/4*j + x*j**2 = 0 for j.
-3, -2
Let k(u) = u**3 + 30*u**2 + 187*u - 16. Let f be k(-9). Let d(n) be the first derivative of 0*n**4 + 7 - 1/7*n**3 + 1/7*n**f + 0*n + 1/35*n**5. Factor d(g).
g*(g - 1)**2*(g + 2)/7
Let s(y) = 2*y**3 + 144*y**2 + 14*y - 160. Let q(w) = -w**3 - 48*w**2 - 5*w + 54. Let l(f) = 8*q(f) + 3*s(f). Factor l(n).
-2*(n - 24)*(n - 1)*(n + 1)
Let s be 2/(-6) + 7/3. Let u(z) = 0 - 5*z**s + 33*z + 34 + 2. Let b(t) = -2*t**2 + 16*t + 18. Let p(l) = 9*b(l) - 4*u(l). Factor p(c).
2*(c + 3)**2
Suppose -3*s = n - 2 - 9, -5*s + 19 = 2*n. Factor 7*o + 6*o**2 + 8*o - 23*o**2 + 20 + 12*o**n.
-5*(o - 4)*(o + 1)
Solve -2029*h + 385*h**2 - 4223*h - 1848*h + 245*h**2 + 8*h**3 - 2*h**4 + 16*h**3 = 0 for h.
-18, 0, 15
Let q(x) = -56*x + 4652. Let y be q(83). Factor -1/2*p**y - 162 - 19*p**3 - 342*p - 397/2*p**2.
-(p + 1)**2*(p + 18)**2/2
Let n(y) = -3*y - 14 + 14*y**2 + 5*y + 19. Let k be n(-2). Find v, given that -130*v**3 - k*v - 29*v + 10*v**4 - 14*v + 14*v**5 + 190*v**2 + 16 = 0.
-4, 2/7, 1
Let g(l) be the first derivative of 5*l**4/4 + 40*l**3 - 695*l**2/2 + 870*l + 899. Factor g(a).
5*(a - 3)*(a - 2)*(a + 29)
Factor -32*d**4 + 6712/5*d**3 + 1/5*d**5 + 24336/5*d + 0 - 4992*d**2.
d*(d - 78)**2*(d - 2)**2/5
Let g(b) be the first derivative of 3*b**5/80 - b**4/8 - b**3 - 52*b + 73. Let j(q) be the first derivative of g(q). Suppose j(x) = 0. What is x?
-2, 0, 4
Let j(x) be the first derivative of -2/3*x**3 + 2*x - 96 + 1/6*x**4 - 1/3*x**2. Factor j(v).
2*(v - 3)*(v - 1)*(v + 1)/3
Let h(k) be the first derivative of -k**7/735 - 17*k**6/210 - 289*k**5/210 + 59*k**2/2 - k + 152. Let z(s) be the second derivative of h(s). Factor z(u).
-2*u**2*(u + 17)**2/7
Factor -8*x**2 - 1/6*x**3 - 30*x - 88/3.
-(x + 2)**2*(x + 44)/6
Solve 92/3*u - 4/3*u**5 - 88/3*u**3 + 40/3*u**4 + 16/3*u**2 - 56/3 = 0.
-1, 1, 2, 7
Let n(w) be the third derivative of w**7/6720 - w**5/320 + w**4/24 + 2*w**3 + 71*w**2. Let m(p) be the second derivative of n(p). Find q such that m(q) = 0.
-1, 1
Suppose -2*b = -3*b + 4. Suppose -15*i + 22 = -b*i. Suppose 1/6*u**3 - 1/2*u**i - u + 4/3 = 0. What is u?
-2, 1, 4
Suppose 7*s = 40*s + 7*s + 30*s. Let t(r) be the second derivative of -1/30*r**4 + 1/30*r**3 - 3/100*r**5 + 13*r + s*r**2 + 0. Factor t(a).
-a*(a + 1)*(3*a - 1)/5
Let h(w) be the second derivative of -w**5/120 + 130*w**4/9 + 2083*w**3/36 + 521*w**2/6 - 35*w + 35. Let h(x) = 0. Calculate x.
-1, 1042
Determine g, given that -21040/3*g - 5600/3 - 374/3*g**3 + 1782*g**2 + 8/3*g**4 = 0.
-1/4, 7, 20
Suppose -4*h - 20 = -2*r, 6*r - 18 = 5*r + 4*h. Factor 3 + 4 + 33*q - 1 + 12*q**r - 51*q**2.
-3*(q - 1)*(13*q + 2)
Let v(k) = k**3 - 6*k**2 + 5*k + 5. Let l be v(5). Suppose 2 = 2*z - 2. Determine t, given that -11*t - 4*t - 8*t**z + 5 - 7 + l*t = 0.
-1, -1/4
Suppose 7*b + 10 = -4. Let d(n) = n**2 + n + 1. Let x(m) = -m**2 - 9*m - 2. Let y(w) = b*d(w) - x(w). Factor y(s).
-s*(s - 7)
Let t(l) = -35*l**4 - 685*l**3 + 17390*l**2 + 17965*l - 75. Let j(z) = -3*z**4 - 57*z**3 + 1449*z**2 + 1497*z - 6. Let r(f) = 25*j(f) - 2*t(f). Factor r(o).
-5*o*(o - 13)*(o + 1)*(o + 23)
Let h(s) be the third derivative of s**6/20 - 38*s**5/15 - 13*s**4/3 - 3*s**2 + 345*s. Suppose h(i) = 0. Calculate i.
-2/3, 0, 26
Let z be -4 - ((-389489)/93342 - (-1)/6). Let a = 1001/1324 - z. Factor 3 - a*v**2 - 9/4*v.
-3*(v - 1)*(v + 4)/4
Let a = 26167 + -26163. Factor -24/7*n**2 - 12/7*n**3 - 16/7*n + 0 - 2/7*n**a.
-2*n*(n + 2)**3/7
Solve -141/2*q**4 - 945/2*q**3 + 450 + 2157/2*q**2 + 21/2*q**5 + 1920*q = 0.
-5, -1, -2/7, 3, 10
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