 2, 20
Let v(s) = -6*s**3 - 2213*s**2 + 382*s + 4799. Let h be v(-369). What is y in 8 + 2/7*y**h + 58/7*y = 0?
-28, -1
Factor -5/2*y**3 + 35/2*y + 0*y**2 - 15.
-5*(y - 2)*(y - 1)*(y + 3)/2
Let f(h) be the second derivative of 13*h**5/210 + 11*h**4/42 - 8*h**3/21 + 13*h**2/2 - 70*h. Let g(s) be the first derivative of f(s). Let g(b) = 0. What is b?
-2, 4/13
Let a be ((-3)/(-9))/(39644/13200 - 3). What is n in a*n - 14/5*n**2 + 144/5 = 0?
-2/7, 36
Let r(v) be the first derivative of -8*v**6/3 - 312*v**5/5 - 1177*v**4/4 + 271*v**3 + 304*v**2 + 84*v - 2797. What is a in r(a) = 0?
-14, -6, -1/4, 1
Factor -58 - 2/3*z**3 - 110/3*z + 62/3*z**2.
-2*(z - 29)*(z - 3)*(z + 1)/3
Suppose h = -l - 6, 3*h + l + 4 + 10 = 0. Let v be -3 + (-6)/(-2) + (-8)/h. Factor 4/3*k**v + 8/3 - 4*k.
4*(k - 2)*(k - 1)/3
Let t be 754/87*(-936)/(-3380). Solve 2/5*g**3 - t*g**2 - 38/5*g + 48/5 = 0.
-3, 1, 8
Suppose -10*l = -25*l - 21090. Let j be (-2888)/l + 2/(-37). Factor 10/3*u + 2/9*u**3 - 2 - 14/9*u**j.
2*(u - 3)**2*(u - 1)/9
Let t(d) = -7 + d**2 - 4 + 4 + d. Let i be t(3). Factor 4*r**5 + 14*r**5 + 11*r**i - 4*r**5 + 4*r**3 + 20*r**4.
r**3*(5*r + 2)**2
Find l, given that -25/3*l**4 + 1/6*l**5 + 26/3 - 1/3*l**2 + 103/6*l - 52/3*l**3 = 0.
-1, 1, 52
Suppose -621 = -569*i + 52 + 465. Suppose -3*a**3 - 4 + 1/3*a**5 + 16/3*a - 1/3*a**4 + 5/3*a**i = 0. Calculate a.
-2, 1, 3
Let s(k) be the second derivative of k**5/36 - 17*k**4/72 + k**3/3 + 80*k**2 + 5*k - 6. Let c(w) be the first derivative of s(w). What is x in c(x) = 0?
2/5, 3
Let y(h) be the second derivative of -h**6/60 - h**5/3 - 3*h**4/4 + 173*h**2/2 + h + 2. Let b(x) be the first derivative of y(x). Find p such that b(p) = 0.
-9, -1, 0
Factor 5/2 - 3/4*b**2 + 7/4*b.
-(b + 1)*(3*b - 10)/4
Let q(l) = -7*l**3 - 89*l**2 - 631*l - 3. Let k(f) = -6*f**3 - 90*f**2 - 594*f - 2. Let t(r) = -3*k(r) + 2*q(r). Factor t(y).
4*y*(y + 10)*(y + 13)
Let z = 3024 - 6033/2. Let w(y) be the second derivative of 10/3*y**3 - 19*y - 5/2*y**5 + z*y**2 - 15/4*y**4 + 0. Let w(a) = 0. What is a?
-1, -1/2, 3/5
Determine a so that 0 - 6/11*a + 40/11*a**2 = 0.
0, 3/20
Suppose 9940*h**2 + 0 - 10082*h + 283/2*h**3 + 1/2*h**4 = 0. Calculate h.
-142, 0, 1
Let d(o) be the first derivative of -o**6/6 + 9*o**5/5 - 3*o**4 - 80*o**3/3 + 96*o**2 + 5313. Let d(v) = 0. Calculate v.
-3, 0, 4
Suppose -13*x + 11 = -15. Determine h, given that 20*h - 22*h**4 - 4 - 40*h**2 + 38*h**3 - 349*h**5 + x*h**3 + 353*h**5 + 2*h**4 = 0.
1
Let y(u) be the first derivative of -u**7/140 - 2*u**6/45 - u**5/20 + u**4/6 - 59*u**3/3 - 67. Let l(p) be the third derivative of y(p). Factor l(o).
-2*(o + 1)*(o + 2)*(3*o - 1)
Suppose 3*b - 4*b = j - 1, -5*b - 2*j + 14 = 0. Suppose -2427*t + 267 = -2424*t. Factor -2*r**4 + 92*r - t*r + 3*r**2 - r**b - 3*r**3.
-3*r*(r - 1)*(r + 1)**2
Suppose -92/7*a + 29*a**3 - 8 + 9/7*a**5 + 90/7*a**4 + 86/7*a**2 = 0. Calculate a.
-7, -2, -1, -2/3, 2/3
Find b, given that 0 - 4/3*b**2 - 2/3*b**3 + 4/3*b**4 - 1/3*b**5 + b = 0.
-1, 0, 1, 3
Let o = 41634/7 - 6389. Let p = -439 - o. Factor -p*h**2 + 4/7*h**3 + 20/7*h - 8/7.
4*(h - 2)*(h - 1)**2/7
Let r be 39/(-9) + 2/6 + 3. Let j(l) = l - 1. Let z(p) = -p**2 + 10*p - 9. Let d(i) = r*j(i) - z(i). Suppose d(n) = 0. Calculate n.
1, 10
Let h(c) be the first derivative of -c**3/5 - 141*c**2/5 - 279*c/5 - 2441. Factor h(y).
-3*(y + 1)*(y + 93)/5
Let j be -4*((-21)/(-2) - 0). Let z = -38 - j. Factor 5 + 0 + 2*r - r**3 - r - r**2 - z.
-(r - 1)*(r + 1)**2
Let t(a) be the second derivative of -a**4/3 + 10*a**3 + 200*a**2 - 345*a. Solve t(u) = 0.
-5, 20
Suppose 0 = 3*t - 4*z - 26, 3*z + 24 = 2*t - z. Factor 5*h + 23*h - 20*h**t - 17 + 4*h**3 - 13 + 18.
4*(h - 3)*(h - 1)**2
Let v be (-1)/(-1 + 12/16). Determine j so that 15*j**2 + 63*j**3 - 18 + 6*j**v + 68*j**3 + 15*j - 3*j**4 - 146*j**3 = 0.
-1, 1, 2, 3
Suppose 0 = 2*u - 4*b + 6*b, -b - 12 = -2*u. Let i be (-93)/124 + (11/u - -1). Find m such that -5/3 + 5/3*m**2 - 1/3*m + 1/3*m**i = 0.
-5, -1, 1
Let j(s) = -201*s**2 + 200*s + 3. Let b be j(1). Factor 1/2*v**b + 162 + 18*v.
(v + 18)**2/2
Suppose -75*h + 93*h - 18 = 0. Let m(y) = -y**3. Let b(p) = 3*p**3 + 13*p**2 - 16*p - 28. Let r(j) = h*b(j) + 2*m(j). Suppose r(v) = 0. What is v?
-14, -1, 2
Factor -q**2 - 195*q - 154*q - 234 + 114*q.
-(q + 1)*(q + 234)
Suppose -2*i = 13 + 3. Let d be 0 + 8*(-4)/i. Factor 11*f**4 - 61*f**2 - 8*f**d - 36*f**3 + 75 - 180*f + 199*f**2.
3*(f - 5)**2*(f - 1)**2
Let o(m) be the second derivative of -3*m**5/80 - 19*m**4/8 - 69*m**3/8 + 81*m**2/2 + 1772*m. Solve o(f) = 0 for f.
-36, -3, 1
Suppose -210 = -p - 6*p. Factor 0*r - p*r**3 - 8*r + 34*r**3 - 4*r + 8.
4*(r - 1)**2*(r + 2)
Let i(a) = a**3 - 8*a**2 - 20*a + 3. Let h be i(-2). Determine o so that 960*o**h + 2*o**4 - 966*o**3 + o**4 = 0.
0, 2
Let q(k) be the first derivative of -k**5/90 + 13*k**4/36 + 14*k**3/9 + 26*k**2 + 9. Let m(a) be the second derivative of q(a). Suppose m(t) = 0. Calculate t.
-1, 14
Determine b, given that 100*b**2 + 1846*b - 1991*b + 150*b**3 + 20*b**4 - 5*b**5 - 120 + 0*b**4 = 0.
-3, -1, 1, 8
Determine q, given that 4*q**4 + 1824 + 59*q + 866*q - 1893*q + 32*q**3 - 892*q**2 = 0.
-19, -2, 1, 12
Suppose -66*j = 127*j. Let f(x) be the third derivative of 0 - 22*x**2 - 1/7*x**4 + j*x + 3/140*x**5 - 1/840*x**6 + 8/21*x**3. Factor f(a).
-(a - 4)**2*(a - 1)/7
Let r(d) be the first derivative of 1/9*d**6 + 8/3*d + 56/9*d**3 + 16/15*d**5 + 11/3*d**4 - 62 + 17/3*d**2. Factor r(n).
2*(n + 1)**4*(n + 4)/3
Factor 3154/3*q**3 + 787/3 + 3149/3*q + 791/3*q**4 + 4726/3*q**2 + 1/3*q**5.
(q + 1)**4*(q + 787)/3
Let i(s) be the third derivative of -s**6/180 - 2*s**5/15 - 5*s**4/9 - s**2 + 1900. Factor i(f).
-2*f*(f + 2)*(f + 10)/3
Let k be -9 + 1748/161 - (-4)/2. Let y(p) be the first derivative of 0*p + 2 - 13/14*p**4 - 36/5*p**5 - k*p**6 - 4/7*p**2 + 8/3*p**3. Factor y(o).
-2*o*(o + 1)**2*(9*o - 2)**2/7
Let o(t) be the second derivative of 6*t**5/5 + 5*t**4/3 - 124*t**3/3 + 112*t**2 - 3524*t. Suppose o(s) = 0. What is s?
-4, 7/6, 2
Let q(i) = 54*i**2 - 11102*i + 2780. Let g(p) = -11*p**2 + 2220*p - 556. Let j(w) = 14*g(w) + 3*q(w). Factor j(k).
2*(k - 278)*(4*k - 1)
Suppose -2*l + 26 = l + 83, 4*g - 103 = 5*l. Let 78/5*h - 87/5*h**g - 24/5 + 33/5*h**3 - 3/5*h**5 + 3/5*h**4 = 0. What is h?
-4, 1, 2
Let q be 273/24 + 20790/7920. Factor -132/5 - 2/5*b**2 - q*b.
-2*(b + 2)*(b + 33)/5
Factor 0*n + 0 + 423*n**4 - 1280*n**3 - 81/2*n**5 + 1200*n**2.
-n**2*(n - 6)*(9*n - 20)**2/2
Let o = 5 - 1. Solve 208*z - 298*z - o*z**2 - 93 + 7*z**2 = 0 for z.
-1, 31
Let x(w) = 2*w**2 + 104*w - 101. Suppose -11 = 8*g - 27. Let m(h) = -52*h + 50. Let d(s) = g*x(s) + 5*m(s). Factor d(n).
4*(n - 12)*(n - 1)
Let a(g) be the first derivative of -3*g**4/4 + 3*g**3 + 6*g**2 - 36*g + 1520. Factor a(q).
-3*(q - 3)*(q - 2)*(q + 2)
Suppose 30 = 2*w - 2*f, -w - 21 = -1033*f + 1035*f. Let d be (-4)/(-3) - (0 + 1). Factor 4/3*h**2 - d*h**4 + 0*h + 0*h**w + 0.
-h**2*(h - 2)*(h + 2)/3
Let t(g) be the third derivative of -g**6/180 - 17*g**5/90 - 10*g**4/9 + 100*g**3/3 - 2*g**2 + 182. Solve t(d) = 0 for d.
-10, 3
Determine f so that 168/17 + 166/17*f - 2/17*f**2 = 0.
-1, 84
Let u(r) = 29*r**2 - 114*r - 548. Let g(q) = 2*q**2 - 11*q - 2. Let i(b) = 15*g(b) - u(b). Factor i(n).
(n - 37)*(n - 14)
Determine y, given that 0*y + 128/3*y**5 - 240*y**4 - 8*y**2 + 0 - 284/3*y**3 = 0.
-1/4, -1/8, 0, 6
Let x(c) be the second derivative of 35 + 8/7*c**2 + 1/21*c**4 - 2*c - 10/21*c**3. Determine u so that x(u) = 0.
1, 4
Let k(b) be the third derivative of -11/6*b**5 + 148*b**2 - 19/60*b**6 + 0 - 9/2*b**4 - 1/280*b**7 + 0*b - 14/3*b**3 + 5/1344*b**8. Solve k(q) = 0 for q.
-2, -2/5, 7
Let z = 20 + 8. Let a = 40 - z. Find g such that -9*g + 28*g**2 + 6*g**3 - 7*g + 24*g - a*g**2 = 0.
-2, -2/3, 0
Let i(l) be the first derivative of l**4/20 + 27*l**3/5 - 213*l**2/5 + 344*l/5 + 1720. Factor i(h).
(h - 4)*(h - 1)*(h + 86)/5
Let f(i) be the third derivative of -2*i**7/105 + 133*i**6/180 - 8*i**5/45 - 133*i**4/36 + 22*i**3/9 + 2209*i**2. Find c, given that f(c) = 0.
-1, 1/6, 1, 22
Suppose -1052 + 335 = -64*h + 819. Let o(c) be the first derivative of h - 20/3*c**3 + 5*c + 15/2*c**2. Factor o(d).
-5*(d - 1)*(4*d + 1)
Find n such that 288 - 26*n**2 - 5/2*n**3 + 1/2*n**4 + 40*n = 0.
-4, 4, 9