 0 + u*a**3 = 0.
-2, -1, 0
Let n = 19947 - 19937. Solve 0 + 4/3*h + 2/3*h**4 + 10/3*h**5 - n*h**3 + 14/3*h**2 = 0 for h.
-2, -1/5, 0, 1
Let m(x) be the second derivative of -x**4/4 - 40*x**3 + 747*x**2/2 - 700*x. What is r in m(r) = 0?
-83, 3
Let d = 988 - 988. Let v be (-4)/(-18) + 78/216 + d. Factor -1/12*y**2 + v*y - 1/2.
-(y - 6)*(y - 1)/12
Let z(r) be the second derivative of 55*r**4/48 + 85*r**3/24 - 25*r**2/4 - 1122*r. Determine j so that z(j) = 0.
-2, 5/11
Factor -1/5*k**2 + 224/5 - 223/5*k.
-(k - 1)*(k + 224)/5
Let z(t) = 35*t**2 - 16800*t - 33690. Let k(a) = -3*a**2 + 1400*a + 2808. Let r(x) = -25*k(x) - 2*z(x). Factor r(g).
5*(g - 282)*(g + 2)
Let k(l) be the second derivative of 5*l**5/26 - 9*l**4/26 - 16*l**3/13 + 4*l**2/13 - 1707*l - 2. Determine q, given that k(q) = 0.
-1, 2/25, 2
Factor 68 + 8/3*k**3 - 640/3*k + 253/3*k**2.
(k - 2)*(k + 34)*(8*k - 3)/3
Suppose 3*v + 6 = 3*q, -3*v - 5*q + 10*q = 10. Suppose v = -33*n + 48 + 84. Let 2/3*a**3 - 2/3*a + 2/9*a**n + 8/9 - 10/9*a**2 = 0. Calculate a.
-4, -1, 1
Suppose -3*i - 42 = 4*x, 3*x = i + 27 - 65. Solve 0 + 3/10*l**3 - 1/10*l**4 + 1/10*l**i - 3/10*l = 0 for l.
-1, 0, 1, 3
Let q(b) = b**2 + 2*b + 2. Let m(c) = -27*c**2 - 262*c + 12. Let o(j) = -m(j) - 6*q(j). Find v such that o(v) = 0.
-12, 2/21
Solve -21878*l - 4 + 28 + 21995*l - 15*l**2 = 0 for l.
-1/5, 8
Let o be ((-984)/(-336))/41 + 2/(-28). Solve -44/5*h + o + 4/5*h**2 = 0.
0, 11
Suppose -4*v + 53 = -43. Factor 6*g - 3*g**2 + 13*g**3 + 8*g**3 - v*g**3.
-3*g*(g - 1)*(g + 2)
Let r(a) be the first derivative of -7*a**6/18 + 3*a**5/5 + 39*a**4/4 + 71*a**3/9 - 5*a**2 - 1527. Determine w, given that r(w) = 0.
-3, -1, 0, 2/7, 5
Let y(q) = -q**3 - 19*q**2 + 5. Let k be y(-19). Let i be 1/(-3)*((-35)/k + 1). Let 48 - v**2 + 44*v - v**2 - 2*v**i = 0. What is v?
-1, 12
Let o be -2 - (-4 - 1) - -49. What is p in -o - 132*p - 114*p**2 - 46 - 8*p**3 + 72 = 0?
-13, -1, -1/4
Solve 4/5*n**5 + 176/5*n**3 + 168/5*n**2 + 48/5*n**4 - 36*n - 216/5 = 0.
-6, -3, -1, 1
Let r(g) be the third derivative of -g**7/70 + 23*g**6/10 - 1011*g**5/10 - 1081*g**4/2 - 2209*g**3/2 + 71*g**2 - 11. Solve r(f) = 0 for f.
-1, 47
Suppose -70/3 - 143/3*u - 76/3*u**2 - u**3 = 0. What is u?
-70/3, -1
Let d = -621531 + 229344155/369. Let g = -78/41 - d. Factor 4/9*z**2 + g*z**3 + 0 - 2/3*z.
2*z*(z - 1)*(z + 3)/9
Let n = 1460 - 1458. Let t(p) be the first derivative of n*p + 17/4*p**4 - 3 + 4/5*p**5 + 13/2*p**2 + 8*p**3. Factor t(f).
(f + 1)**2*(f + 2)*(4*f + 1)
Let l(a) = a**3 + 8*a**2 - 21*a - 18. Let p be l(-8). Solve -p - 11*c**2 + 0*c**3 + 92*c - 15*c**2 - 57*c + 75*c + 2*c**3 = 0.
3, 5
Let c(p) be the first derivative of -3*p**4/28 + 54*p**3/7 + 513*p**2/14 - 3820. Suppose c(r) = 0. What is r?
-3, 0, 57
Let t(j) = 1709*j - 3414. Let g be t(2). What is o in -4/3*o**2 + 2/3*o**5 - 2/3*o + 0*o**3 + 4/3*o**g + 0 = 0?
-1, 0, 1
Let v(k) be the first derivative of k**3/6 - 53*k**2/4 - 84*k - 3641. Let v(l) = 0. Calculate l.
-3, 56
Suppose 31*n - 35 = 24*n. Factor -7725*k**5 + 3865*k**5 + 3866*k**n + 6*k**3 + 15*k**4.
3*k**3*(k + 2)*(2*k + 1)
Let w(v) = -18*v - 94. Let i be w(2). Let u = i - -130. Determine s so that u + 10/3*s + 85/3*s**4 + 65/3*s**2 + 20/3*s**5 + 40*s**3 = 0.
-2, -1, -1/4, 0
Let j(b) be the first derivative of -108*b**3 + 324*b**2 - 135/2*b**4 - 1/2*b**6 + 0*b - 51/5*b**5 + 100. Let j(n) = 0. What is n?
-6, 0, 1
Let z = 179723219 + -1690296872623/9405. Let y = z - -2/1045. Determine b, given that -5/9*b**5 + 5/9*b**3 + 2/9*b**2 + 0*b + 0 - y*b**4 = 0.
-1, -2/5, 0, 1
Let d(y) be the second derivative of -y**5/15 - y**4 - 16*y**3/3 - 7*y**2 - 134*y. Let l(k) be the first derivative of d(k). Determine n, given that l(n) = 0.
-4, -2
Let w(u) be the third derivative of -1/30*u**5 - 1/20*u**6 + 1/336*u**8 + 0*u + 82*u**2 + 5/24*u**4 + 1/2*u**3 - 1/210*u**7 + 0. Solve w(m) = 0.
-1, 1, 3
Let j(a) be the first derivative of -4/7*a**2 + 12/7*a + 1/28*a**4 - 1/21*a**3 - 23. Suppose j(z) = 0. What is z?
-3, 2
Solve 0*k + 0 + 1/3*k**2 + 2/9*k**3 - 1/9*k**4 = 0.
-1, 0, 3
Let w(o) be the third derivative of -o**6/40 - 4*o**5/5 - 13*o**4/2 - 24*o**3 - 2531*o**2 - 2. Factor w(c).
-3*(c + 2)**2*(c + 12)
Let n = 357369/7 - 51051. Let -27/7*q**3 - 72/7*q + 87/7*q**2 + n = 0. Calculate q.
2/9, 1, 2
Suppose c = -3*r - 19, -3 = 7*r - 10*r. Let h(n) = 13*n**3 + 29*n**2 + 40*n + 24. Let m(i) = -i**3 - i**2. Let j(q) = c*m(q) - 2*h(q). Factor j(f).
-4*(f + 1)*(f + 2)*(f + 6)
Let c = -2444 + 2444. Let u(x) be the third derivative of 1/180*x**4 + 1/450*x**5 - 7*x**2 + c - 2/45*x**3 + 0*x. Find r such that u(r) = 0.
-2, 1
Let l(m) be the first derivative of -m**4/15 + 10*m**3/3 - 132*m - 21. Let n(k) be the first derivative of l(k). Factor n(s).
-4*s*(s - 25)/5
Let q(l) be the second derivative of l**4/48 - 19*l**3/12 + 37*l**2/8 - 752*l. Find a, given that q(a) = 0.
1, 37
Let q(g) be the first derivative of -g**3/7 - 6*g**2/7 + 960*g/7 - 971. Factor q(a).
-3*(a - 16)*(a + 20)/7
Suppose 5*f - 8 = 3*f. Let w(j) = 12*j**2 + 4*j + 12. Let p be w(-2). Determine a so that -2*a**f + 52*a - p*a = 0.
0
Let d be 2 + 17 - 20/4*1. Suppose 49*n + 4*n**4 + 19*n**3 - 50*n**2 - d*n**4 - 16 - n**2 + 9*n**4 = 0. Calculate n.
1, 16
Let w = 5 - -30. Suppose -65 + 8*p**2 + 40 - 17*p + w - p**3 = 0. What is p?
1, 2, 5
Determine i, given that 57/2*i**3 + 109/4*i + 83/2*i**2 + 27/4 + 31/4*i**4 + 1/4*i**5 = 0.
-27, -1
Let a(r) = -5*r**2 + 8*r. Let z(u) = -2*u**3 - 116*u**2 - 70*u + 1014. Let h(s) = 28*a(s) - 2*z(s). Factor h(m).
4*(m - 3)*(m + 13)**2
Let k(c) be the first derivative of c**4/10 - 2*c**3/3 - c**2/5 + 2*c - 548. Solve k(a) = 0.
-1, 1, 5
Let l = -180885/2 + 90443. Determine d, given that -77/2*d**2 - 10 + l*d**5 + 43/2*d**3 + 32*d - 11/2*d**4 = 0.
1, 2, 5
Let i(p) be the first derivative of 5*p**4/4 + 155*p**3/3 + 715*p**2/2 - 875*p - 101. Factor i(u).
5*(u - 1)*(u + 7)*(u + 25)
Let r(m) be the third derivative of m**7/1960 + m**6/140 - 34*m**3/3 - 3*m**2 + 22. Let k(q) be the first derivative of r(q). Let k(i) = 0. What is i?
-6, 0
Let u(p) be the second derivative of 186*p + 0 - 5/42*p**7 + 225/4*p**4 - 63/4*p**5 - 90*p**3 + 0*p**2 + 13/6*p**6. Factor u(t).
-5*t*(t - 4)*(t - 3)**3
Let l(x) be the third derivative of -65*x**2 + 0*x**3 + 11/280*x**6 - 3/140*x**5 + 1/2352*x**8 + 0 - 11/1470*x**7 + 0*x - 9/28*x**4. Let l(y) = 0. What is y?
-1, 0, 3, 6
Let c(h) be the third derivative of 0 - h**3 + 264*h**2 + 27/8*h**4 - 3/10*h**7 + 0*h + 13/8*h**6 - 69/20*h**5. Suppose c(v) = 0. Calculate v.
2/21, 1
Solve 3/8*u**5 - 9/4*u**4 + 1029/8*u - 21*u**3 + 0 + 441/4*u**2 = 0 for u.
-7, -1, 0, 7
Let s = -85 + 91. Let i be s/15 - 6/(-10). Factor 1/2*h**2 - 3/2*h + i.
(h - 2)*(h - 1)/2
Let f be (2301/39)/(1 - 0). Factor 109*s**2 - 4 - 2045*s**2 - f*s + 235*s.
-4*(22*s - 1)**2
Find b such that 320 + 340*b + 75204*b**3 + 75212*b**3 - 150411*b**3 + 100*b**2 = 0.
-16, -2
Let m be -2 + 2/4 + 11 + (-624)/72. Let r(v) be the first derivative of 7/8*v**4 - 16 + 0*v + 1/4*v**2 + 3/10*v**5 + m*v**3. Suppose r(t) = 0. What is t?
-1, -1/3, 0
Factor 1/6*x**3 - 14*x + 13/6*x**2 + 18.
(x - 3)*(x - 2)*(x + 18)/6
Let n(x) be the first derivative of -1/27*x**3 - 24 + 1/9*x + 0*x**2. Solve n(t) = 0.
-1, 1
Suppose 293*v + 469 - 2755 = -469*v. Determine c, given that -v*c + 45/2 - 3/2*c**2 = 0.
-5, 3
Let v be (4 + -10)*((-55)/60)/11. Let d(w) be the first derivative of 0*w**3 + w**2 - v*w**4 + 0*w + 7. Factor d(m).
-2*m*(m - 1)*(m + 1)
Let w(u) be the third derivative of -9*u**8/448 - 61*u**7/280 + 1319*u**6/160 - 227*u**5/80 - 655*u**4/16 + 36*u**3 + 2*u**2 - 335*u + 10. Solve w(a) = 0 for a.
-16, -1, 2/9, 1, 9
Let i(h) be the second derivative of 5*h**4/12 - 10*h**3 - 65*h**2/2 - 251*h + 1. Solve i(l) = 0 for l.
-1, 13
Let m(i) = -6*i - 157. Suppose 171 - 167 = -l, v = -5*l - 47. Let j be m(v). Solve 0 + 1/3*a**2 + 0*a - 1/3*a**4 - 1/3*a**j + 1/3*a**3 = 0.
-1, 0, 1
Suppose 61 = 4*b - 3*w, -68 = -5*b - w + 2*w. Factor -11*l - 7*l**3 - 27*l + 61*l**2 + 0*l**3 - b - 3.
-(l - 8)*(l - 1)*(7*l + 2)
Let s(j) be the first derivative of -j**7/336 - j**6/240 + j**5/96 + j**4/48 + 35*j**2 + 199. Let v(n) be the second derivative of s(n). What is u in v(u) = 0?
-1, -4/5, 0, 1
Let m(u) = 2*u + 23. Let j = 20 - 28. Let y be m(j). Suppo