+ 346*x**3/3 + 210*x**2 - 3436. Determine k so that m(k) = 0.
-42, -1, 0, 5
Let i(k) = 4*k**2 + 2*k + 0 - 2*k - 2*k + 6*k + 2. Let f be i(-1). Determine q, given that -2*q - 2 - 1/2*q**f = 0.
-2
Let h(m) = 4*m**2 - 42*m + 155. Let u(q) = 9*q**2 - 72*q + 311. Let c(p) = 14*h(p) - 6*u(p). Factor c(k).
2*(k - 76)*(k - 2)
Let d(t) be the third derivative of t**7/105 + 241*t**6/15 - 483*t**5/5 + 725*t**4/3 - 967*t**3/3 - 7*t**2 - 57*t. Factor d(z).
2*(z - 1)**3*(z + 967)
Let v(r) be the first derivative of -3*r**5/20 + r**4 - 3*r**3/2 + 37*r - 32. Let f(s) be the first derivative of v(s). Solve f(a) = 0 for a.
0, 1, 3
Suppose -1/4*t**2 - 89/4*t - 129/2 = 0. Calculate t.
-86, -3
Factor 1776/13*w + 2/13*w**2 + 394272/13.
2*(w + 444)**2/13
Let b = 11155 - 11150. Let q(k) be the third derivative of 0 + 2/15*k**3 + 0*k + 25*k**2 + 1/20*k**4 + 1/150*k**b. Factor q(t).
2*(t + 1)*(t + 2)/5
Let p(d) be the second derivative of -d**7/42 + d**6/15 + 3*d**5/2 - 23*d**4/3 + 91*d**3/6 - 15*d**2 + 3*d + 330. Determine o, given that p(o) = 0.
-6, 1, 5
Let l(n) = -n**3 - 2*n**2 - 1. Let m(g) = 2*g**3 - 295*g**2 + 1175*g - 878. Let k(o) = -l(o) - m(o). Solve k(d) = 0.
1, 3, 293
Let w = -48679/6 - -24340/3. Find m, given that 2/3*m - 1/3*m**2 - w*m**3 + 4/3 = 0.
-2, 2
Let o be (714/(-15))/(2/(-10)) - 3. Suppose -3*w = -8*w + o. Determine z, given that 91 + 13*z**2 - w - 52 - z**2 - 20*z = 0.
-1/3, 2
Let f(z) be the second derivative of -3*z**5/110 + 5*z**4/66 - 2*z**3/33 + 7*z. Suppose f(x) = 0. What is x?
0, 2/3, 1
Factor -4 + 5*q - 1230*q**2 + 4 + 614*q**2 + 4 + 617*q**2.
(q + 1)*(q + 4)
Let q(c) be the first derivative of 1/4*c**4 + 100 + 0*c - 1/6*c**6 + 0*c**2 + 0*c**5 + 0*c**3. Suppose q(r) = 0. What is r?
-1, 0, 1
Let i(r) be the third derivative of r**7/3780 + r**6/1080 - r**5/15 - 53*r**4/24 + 36*r**2. Let g(z) be the second derivative of i(z). Factor g(l).
2*(l - 3)*(l + 4)/3
Let k(a) = -4*a + 60. Let i be 9/5*(-5 - 50/(-6)). Let y be k(i). Factor -25*b**4 + y + 5*b**5 + 20*b**3 - 160*b + 58 - 14 + 80*b**2.
5*(b - 2)**3*(b - 1)*(b + 2)
Let w be (-18)/4*(-216)/486. Let b(j) be the second derivative of -1/26*j**4 + 1/13*j**3 - 11*j + 1/130*j**5 - 1/13*j**w + 0. Suppose b(a) = 0. What is a?
1
Let p = -1061 - -1073. Let i be (-4)/(4/(-15)) - 0. Determine q, given that q**2 + 11*q - 21*q**2 + 42*q - 30 - i*q**3 + p*q = 0.
-3, 2/3, 1
Suppose -10*x = 2*x - 120. Let -14*y**2 - 984 + 16*y**3 + 982 - x*y**2 - 15*y = 0. What is y?
-1/4, 2
Let n = 30283/115 - 6052/23. Find t such that 1/5*t - t**2 + 2/5 - n*t**3 + 3/5*t**4 = 0.
-1, -2/3, 1
Let x(z) = 0*z**2 - 4*z**2 + 68 - 67 - z + 3*z**2. Let f(o) = -o**3 - 3*o**2 + 2*o + 9. Let n(i) = 2*f(i) - 10*x(i). Factor n(d).
-2*(d - 4)*(d + 1)**2
Let k(y) be the second derivative of y**4/60 + 346*y**3/5 + 538722*y**2/5 - 2492*y. Factor k(q).
(q + 1038)**2/5
Let n = 93435 - 467173/5. Let l be ((-4)/1)/(-6 + 1). Let -n*d**3 - 2/5*d + 0 - l*d**2 = 0. What is d?
-1, 0
Let f(r) = -7*r**2 + 2*r + 79. Let u(a) = 4*a**2 - 2*a - 45. Let t(y) = -3*f(y) - 5*u(y). What is c in t(c) = 0?
-6, 2
Let c(o) = 6 + 32*o**2 + 103*o + 11*o**3 - 29*o + 12*o**2. Let k(i) = 45*i**3 + 175*i**2 + 295*i + 25. Let u(j) = 25*c(j) - 6*k(j). Factor u(y).
5*y*(y + 2)*(y + 8)
Let w(j) be the third derivative of j**9/7560 - j**8/4032 + j**5/30 + 25*j**4/24 - j**2 - 33*j. Let n(o) be the third derivative of w(o). Factor n(y).
y**2*(8*y - 5)
Let i(d) be the first derivative of -3/5*d**2 + 7/5*d - 1/15*d**3 + 53. Find s such that i(s) = 0.
-7, 1
Let l(k) be the third derivative of -49/9*k**4 + 12*k**2 + 0 + 1/630*k**7 + 0*k**3 + k - 1/12*k**6 + 7/5*k**5. Factor l(s).
s*(s - 14)**2*(s - 2)/3
Let w be (-58)/27*(1094 + -1100). Factor -1682/9*p - 2/9*p**3 + 0 + w*p**2.
-2*p*(p - 29)**2/9
Let o(l) = l**2 - 5*l - 12. Let w be o(7). Let s(r) = r**3 + 49*r**2 + 3. Let h be s(-49). Suppose -3/4*g**3 + 3/2*g**w + h*g - 6 = 0. What is g?
-2, 2
Solve 3*m**4 + 9/2*m - 6*m**3 + 3/2*m**5 + 0 - 3*m**2 = 0.
-3, -1, 0, 1
Let j(m) be the first derivative of -m**6/40 + 39*m**5/20 - 507*m**4/8 + 2197*m**3/2 + 27*m**2/2 - 9. Let r(z) be the second derivative of j(z). Factor r(g).
-3*(g - 13)**3
Factor 7/2*l**3 + 4 + 58*l + 113/4*l**2.
(l + 4)**2*(14*l + 1)/4
Let h be 5 - (4 - (3 + -1 - 3)). Let l = -476 - -476. Factor h + 4/11*m + 1/11*m**4 + l*m**2 - 3/11*m**3.
m*(m - 2)**2*(m + 1)/11
Let q(o) be the third derivative of -o**6/540 + 14*o**5/135 + 91*o**4/108 + 62*o**3/27 + 2*o**2 + 795*o. Factor q(t).
-2*(t - 31)*(t + 1)*(t + 2)/9
Let m(o) be the third derivative of -o**8/3360 - 2*o**7/525 + o**6/48 + o**5/3 + 6*o**2 + 33*o - 1. Let m(h) = 0. What is h?
-8, -5, 0, 5
Suppose 38*f + 40*f - 5*f - 8442 = -61*f. Factor -3/4*h**2 - 1323 - f*h.
-3*(h + 42)**2/4
Suppose 2*x + 2 = a, 0 = -2*a - 4*x + 6*x + 4. Let u be ((-220)/(-150))/(-22)*1*-6. Factor -2/3*s + 2/3*s**3 - u*s**a + 2/5.
2*(s - 1)*(s + 1)*(5*s - 3)/15
Let y = 2112/11459 + 166/1637. Suppose 2/7*l**2 - y*l**3 + 0 + 0*l = 0. Calculate l.
0, 1
Suppose -368 = -5*i + 28*i. Let w be i/6*4*51/(-272). Factor -2/9*x**5 + 4/3*x**4 - 2/3*x + 20/9*x**w - 8/3*x**3 + 0.
-2*x*(x - 3)*(x - 1)**3/9
Let x(p) = 24*p**4 + 91*p**3 + 36*p**2 - 29*p. Let f(w) = -w**4 + w**3 + w**2 + w. Let n = 0 + 1. Let z(c) = n*x(c) - f(c). Factor z(s).
5*s*(s + 1)*(s + 3)*(5*s - 2)
Let z(p) be the first derivative of 2*p**3/27 + 10*p**2 + 250*p - 7264. Factor z(d).
2*(d + 15)*(d + 75)/9
Let q(a) = a**4 - 42*a**3 + 73*a**2 + 26*a - 57. Let u(j) = 2*j**3 - 2*j**2 - 2*j - 1. Let y(f) = 2*q(f) + 22*u(f). Factor y(m).
2*(m - 17)*(m - 2)**2*(m + 1)
Let p = 30/5627 - -22298/39389. Factor 120/7 + 4*g - p*g**2.
-4*(g - 10)*(g + 3)/7
Let b(q) = -2*q**3 - 17*q**2 - 6*q + 18. Suppose 0 = -3*m - 66*m - 552. Let y be b(m). Factor 2/3*p**y + 2*p**4 + 0*p + 0 + 2*p**3 + 2/3*p**5.
2*p**2*(p + 1)**3/3
Let p be 11 - 15 - -2*1. Let y be (-8)/p + 6 + -5. What is n in 2*n**2 + 7*n**2 + y*n**4 - n**2 - 28*n**2 = 0?
-2, 0, 2
Let p = -89 + 53. Let l be p/24*16/(-6). What is t in -14*t**3 - l*t**2 - 23*t + 23*t - 8*t**4 + 8*t**5 = 0?
-1/2, 0, 2
Let a = 62368/234105 + 4/15607. Factor 2/15*d**2 + a*d - 2/5.
2*(d - 1)*(d + 3)/15
Let i = 38721 + -38719. Suppose 6/5*t - 24/5 + 3/5*t**i = 0. Calculate t.
-4, 2
Suppose 3*k + 31 = 2*p, -3*p + 2*k - 10404 = -10428. Solve 4/17 - 2/17*h - 2/17*h**p = 0 for h.
-2, 1
Let k(i) = 3*i**3 + 1115*i**2 - 2249*i + 1121. Let w(h) = -2*h**3 - 1115*h**2 + 2251*h - 1119. Let l(g) = 3*k(g) + 2*w(g). Factor l(b).
5*(b - 1)**2*(b + 225)
Let z = -24305 + 24307. Let x(o) be the first derivative of 1/27*o**3 + 15 + 1/9*o**z + 0*o - 1/36*o**4. Find f, given that x(f) = 0.
-1, 0, 2
Let f = 76 - 60. Suppose f = 6*m - 14. Factor 15*l**2 - 1806 - m*l**4 + 10*l**3 + 1806.
-5*l**2*(l - 3)*(l + 1)
Let q(f) = -468*f**2 + 29924*f + 3720104. Let l(g) = 32*g**2 - 1995*g - 248007. Let s(t) = -44*l(t) - 3*q(t). Determine i so that s(i) = 0.
-249
Let u(a) = -3*a + 69. Let w be u(22). What is m in 10*m - 95*m**2 - 12 + w + 9 = 0?
0, 2/19
Let z = 24829/15 - 1655. Let y(w) be the first derivative of -1/30*w**4 - 1/3*w**2 - 19 - z*w - 8/45*w**3. Solve y(b) = 0 for b.
-2, -1
Let f(i) = -4*i + 2*i**2 + 3*i + 7*i**2 + 6 - 6*i**2. Let d(b) = 17*b**2 - 5*b + 30. Let j(q) = -2*d(q) + 11*f(q). Factor j(r).
-(r - 2)*(r + 3)
Let j = -777419/90 + 8638. Let d(t) be the third derivative of -6*t**2 + 1/144*t**8 + 0 - j*t**5 + 0*t**3 + 2/105*t**7 + 1/120*t**6 + 0*t + 0*t**4. Factor d(w).
w**2*(w + 1)**2*(7*w - 2)/3
Let d(p) be the second derivative of -p**7/189 + p**6/27 - 10*p**4/27 + 16*p**3/27 + 1351*p. Find t such that d(t) = 0.
-2, 0, 1, 2, 4
Let m(n) be the third derivative of n**6/30 - 37*n**5/15 + 8*n**4 + 4224*n**3 - 13551*n**2. Determine z, given that m(z) = 0.
-11, 24
Let v(x) be the first derivative of -2*x**3/3 - x**2/2 + 6*x - 325. Factor v(y).
-(y + 2)*(2*y - 3)
Factor 177504*o + 1/2*o**3 + 516*o**2 + 20353792.
(o + 344)**3/2
Let w = -54688 + 54691. Factor 0 + 0*o - 2/11*o**4 + 12/11*o**2 - 10/11*o**w.
-2*o**2*(o - 1)*(o + 6)/11
Let f(r) be the second derivative of -14/15*r**6 - 112/3*r**4 - 1 - 32*r**2 + 56*r**3 + 51/5*r**5 + 8*r. Suppose f(h) = 0. Calculate h.
2/7, 1, 2, 4
Let l(n) = n**3 + 6*n**2 - 9*n + 3. Let f be l(-7). Suppose -5*o = -3*c + 139, -5 = 3*o - f. Factor -x + 53 - 3