*2*(w - 2)/13
Let m = -128 + 130. Factor 15*u**m - 18 - 12 + 115*u - 20*u - 26*u.
3*(u + 5)*(5*u - 2)
Let z(u) = u - 30. Let w be z(-30). Let b be (-5)/(w/(-16))*27/(-6). Determine k so that 4 - 3*k**4 - 8*k**3 - 4*k**5 + 12*k + 8*k**2 - 3*k**4 - b*k**4 = 0.
-1, 1
Let t(j) be the first derivative of -15/4*j**5 + 179 + 315/4*j**4 - 81*j**3 + 0*j + 24*j**2. Find p such that t(p) = 0.
0, 2/5, 16
Let i(n) = n**3 + 8*n**2 + 15. Let x be i(-8). Suppose 16*y - x = 11*y. Factor -24*k**2 - 48 + 78*k**3 + 60*k - 41*k**y - 34*k**3.
3*(k - 4)*(k - 2)**2
Let r(n) = n**3 + 26*n**2 - 86*n + 31. Let m be r(-29). Determine k, given that -3114*k - k**2 + 5*k**m + 3094*k + 16 = 0.
1, 4
Let r(m) be the third derivative of 0*m**3 + 0*m + 13/60*m**5 + 1/10*m**6 + 0*m**4 - 1/210*m**7 + 0 + 102*m**2. Factor r(h).
-h**2*(h - 13)*(h + 1)
Factor 0*m + 2/7*m**4 + 1404/7*m**3 + 246402/7*m**2 + 0.
2*m**2*(m + 351)**2/7
Let y(n) be the second derivative of n**5/200 + n**4/40 - 19*n**3/15 + 33*n**2/5 - 2505*n. Find x, given that y(x) = 0.
-11, 2, 6
Let g be 6112/76 - (-1 + (-12 - -7)). Let w = g - 86. Determine r so that 34/19*r**4 - w*r**5 + 0 - 34/19*r**2 + 8/19*r + 0*r**3 = 0.
-1, 0, 1/4, 1, 4
Let a = -92179/3 + 30728. Let x(h) be the second derivative of -4*h**2 - 14/3*h**3 + 0 + a*h**4 + 4/5*h**5 - 16*h. Suppose x(q) = 0. Calculate q.
-2, -1/4, 1
Let s(o) be the first derivative of 1/45*o**5 + 0*o**2 - 1/810*o**6 - 1/6*o**4 - 20 + 0*o - 23/3*o**3. Let d(k) be the third derivative of s(k). Factor d(i).
-4*(i - 3)**2/9
Let m be (-1 + 259)*(19/10)/19. Suppose 36/5 + 4/5*r**4 + 7/5*r**3 - m*r - 62/5*r**2 = 0. Calculate r.
-3, 1/4, 4
Let p(k) be the second derivative of k**5/150 + 13*k**4/60 - 2*k**3 - 108*k**2 - 121*k. Let y(n) be the first derivative of p(n). Factor y(r).
2*(r - 2)*(r + 15)/5
Let v be (-3 - (-7)/3)/(158/(-711)). Let i(u) be the second derivative of 3*u - 3/20*u**5 + 3*u**2 + 0*u**4 + 0 + 3/2*u**v. Factor i(q).
-3*(q - 2)*(q + 1)**2
Let t(b) = 57494*b - 57494. Let a be t(1). Solve 6*x**2 + 0 + 24/5*x**4 + 57/5*x**3 - 3/5*x**5 + a*x = 0 for x.
-1, 0, 10
What is j in -79050386 + 48*j**2 - 2*j**3 - 238*j + 79050386 = 0?
0, 7, 17
Let p(z) be the first derivative of 10/3*z + 42 + 16/3*z**2 + 2/3*z**3. Let p(y) = 0. What is y?
-5, -1/3
Let s be (-18)/(-207)*18/8. Let f = s - -5/92. Find d, given that -1/4 + f*d**2 + 0*d = 0.
-1, 1
Suppose -2*v - 6 = -16. Suppose f = -r + 8, -v*f + 3*r - 2*r + 16 = 0. Suppose -9*q**3 - 1 - 3*q**5 - 6 - 9*q**f + 7 - 3*q**2 = 0. Calculate q.
-1, 0
Let n(k) be the first derivative of -2*k**3/3 - 15*k**2 + 648*k + 925. Determine p, given that n(p) = 0.
-27, 12
Let b(x) = -x**2 + 69*x + 145. Let c be b(71). Let a(t) be the first derivative of -8/11*t + 20 - 6/11*t**c - 12/11*t**2. Factor a(d).
-2*(3*d + 2)**2/11
Let y(w) be the first derivative of w**6/33 + 4*w**5/55 - 9*w**4/11 - 8*w**3/33 + 49*w**2/11 - 60*w/11 + 273. What is s in y(s) = 0?
-5, -2, 1, 3
Solve 0 + 1/6*i**5 + 35/6*i**3 - 2*i**4 + 2*i**2 - 6*i = 0.
-1, 0, 1, 6
Find w such that 0 - 1/6*w**5 - 13/6*w**3 + 1/2*w**2 + 3*w - 7/6*w**4 = 0.
-3, -2, 0, 1
Let w = 43 - 54. Let m = w + 23. Find p, given that m*p + 5*p**3 - 32*p - 10 + 5*p = 0.
-1, 2
Factor -25620/13*b**2 + 384/13*b**3 - 2/13*b**4 - 4085658/13 + 654896/13*b.
-2*(b - 61)**3*(b - 9)/13
Let n be 3/((-15)/2)*(-20550)/5. Factor -8 - 21*j**2 - n*j + 2 + 1671*j.
-3*(j - 1)*(7*j - 2)
Let t(i) be the second derivative of -i**6/240 - 5*i**5/48 - i**4/8 - 75*i**2/2 - 16*i + 3. Let f(h) be the first derivative of t(h). Factor f(q).
-q*(q + 12)*(2*q + 1)/4
Let w(n) be the first derivative of n**5/210 - n**4/21 + 4*n**3/21 - 10*n**2 - 74. Let q(z) be the second derivative of w(z). Factor q(m).
2*(m - 2)**2/7
Let p(k) = 2*k**2 + 15*k - 5. Let x be p(-8). Factor -2*m**5 - 303*m**4 - 18*m**3 - 75*m**2 - 30*m**x + 11*m**2 + 256*m + 323*m**4.
-2*m*(m - 4)**3*(m + 2)
Let m(r) be the third derivative of -1/6*r**6 + 2/105*r**7 + r**2 - 66*r - 13/15*r**5 - 7/6*r**4 + 0 + 0*r**3. Let m(y) = 0. Calculate y.
-1, 0, 7
Find y such that -108/11*y + 2/11*y**3 + 0 + 106/11*y**2 = 0.
-54, 0, 1
Let q(t) = 2*t**2 + 2*t + 8. Let s(c) = -11*c**2 + 890*c + 568. Let y(a) = -4*q(a) - s(a). Solve y(v) = 0 for v.
-2/3, 300
Suppose 2*r = -4*m + m + 8, 5*m + 2*r = 8. Factor m*n**2 - 64 + 18*n - 12*n**2 + 8*n**2 + 8*n**2 - 42*n.
4*(n - 8)*(n + 2)
Let z(x) be the third derivative of 0*x**5 + 0*x**3 + 5/12*x**6 + 0*x + 164*x**2 + 5/48*x**8 + 0 + 17/42*x**7 + 0*x**4. Factor z(a).
5*a**3*(a + 1)*(7*a + 10)
Let p(f) be the second derivative of -1/4*f**4 - f - 5 + 3*f**2 + 1/2*f**3. Determine v so that p(v) = 0.
-1, 2
Let u(h) = 6 + 7 + 9 - 4*h**2 - h**3 + 5*h. Let x be u(-4). Factor 0 - 2/15*d**x - 14/15*d.
-2*d*(d + 7)/15
Let m(t) be the second derivative of -t**7/70 - 4*t**6/25 + 33*t**5/100 + 9*t**4/10 + 42*t - 11. Let m(s) = 0. What is s?
-9, -1, 0, 2
Let n = 15704 + -109856/7. Factor n*s + 648/7 + 2/7*s**2.
2*(s + 18)**2/7
Let v be (36/20)/(24/160). Suppose 3*f - 7*f + 8 = 0. Find p, given that 2*p**f - 10*p**4 + 12*p - 5*p**3 + 5*p**5 - v*p + 8*p**2 = 0.
-1, 0, 1, 2
Let q(m) be the third derivative of m**7/70 - 3*m**6/20 - m**5/20 + 3*m**4/4 + 51*m**2. Determine h, given that q(h) = 0.
-1, 0, 1, 6
Let r(f) be the third derivative of -f**7/168 + f**6/24 + f**5/24 - 5*f**4/8 + 10*f**3 + 62*f**2. Let q(o) be the first derivative of r(o). Factor q(t).
-5*(t - 3)*(t - 1)*(t + 1)
Let n(f) = 2*f**3 + 3*f**2 - f + 2. Let y(p) = 2*p**3 - 9*p**2 - 71*p - 90. Let t(c) = n(c) + y(c). Find j, given that t(j) = 0.
-2, 11/2
Let d = 206 + -209. Let h be (d/(-2) - 1) + (-94)/282. Find f, given that h*f**3 + 1/6*f**2 + 0 + 0*f = 0.
-1, 0
Suppose 8/17*z**4 + 0 - 2/17*z**5 + 44/17*z**3 - 8/17*z**2 - 42/17*z = 0. What is z?
-3, -1, 0, 1, 7
Let q(l) be the second derivative of 0*l**2 - 1/12*l**5 + 64*l - 1/90*l**6 - 7/36*l**4 - 1/6*l**3 + 0. Suppose q(s) = 0. What is s?
-3, -1, 0
Let t = 7363/14678 + -12/7339. Factor t*s**5 - 5/2 + s**2 + 9/2*s - 5*s**3 + 3/2*s**4.
(s - 1)**3*(s + 1)*(s + 5)/2
Let z(r) = 6*r**3 - r**2 - r + 1. Let v(d) = 10*d**3 + 423*d**2 + 835*d + 417. Let t(u) = v(u) - z(u). Suppose t(g) = 0. What is g?
-104, -1
Suppose -5*k - 8*o + 2212 = 2120, o = -5*k + 29. Factor -2/21*m**5 + 0*m + 0*m**2 + 2/7*m**k + 0 + 0*m**3.
-2*m**4*(m - 3)/21
Let l = 394592 + -261941. Suppose 1/4*a**4 + 7803/2*a**2 + l*a + 6765201/4 + 51*a**3 = 0. Calculate a.
-51
Suppose -15*w = -10*w + 4*u - 18, 0 = 3*w - u - 4. Factor 42*z - 99 - 138*z**w + 268*z**2 - 133*z**2.
-3*(z - 11)*(z - 3)
Suppose 28 = -4*v, 36 = -5*k + 32*v - 40*v. Let n(q) be the first derivative of 10*q - 2/3*q**3 + k*q**2 + 2. Factor n(y).
-2*(y - 5)*(y + 1)
Let f(i) be the third derivative of i**6/180 + 17*i**5/90 + 22*i**4/9 + 16*i**3 + 1127*i**2. Find o such that f(o) = 0.
-9, -4
Let q(j) = 2*j**2 + j - 1. Let k(c) = 3*c**2 - 1161*c + 1164. Let y(m) = k(m) - 3*q(m). Factor y(p).
-3*(p - 1)*(p + 389)
Let m(n) = n**2 + n + 2. Let k be m(0). Let b = -308 + 325. Suppose -14*d**5 + 65*d**4 - 20*d**3 - b*d**5 + 6*d**5 - 20*d**k = 0. Calculate d.
-2/5, 0, 1, 2
Let z = -77049 - -77051. Factor 1/6*t**z + 6 - 2*t.
(t - 6)**2/6
Let b be 2/45*(-8 + 13). Suppose -17 = 102*a - 107*a + u, 26 = 5*a + 2*u. What is i in -b*i**a + 4/9 + 2/3*i**2 + 2/9*i**3 - 10/9*i = 0?
-2, 1
Factor 12882*p - 12541/2*p**2 - 113*p**3 - 6498 - 1/2*p**4.
-(p - 1)**2*(p + 114)**2/2
Factor 4*f**3 + 0*f**4 - 258448*f**2 + f**4 + 258444*f**2 - f**5.
-f**2*(f - 2)*(f - 1)*(f + 2)
Let s(d) be the third derivative of -d**4/12 + 23*d**3/6 - 19*d**2. Let w be s(10). Factor 3*j**5 + 6*j**3 + 3*j**3 - 14*j**3 - j**3 + w*j**4.
3*j**3*(j - 1)*(j + 2)
Let u(w) be the second derivative of -w**4/15 - 484*w**3/15 - 29282*w**2/5 + 1265*w. Find s such that u(s) = 0.
-121
Let x(y) = 2*y**3 - 17*y**2 - 82*y - 16. Let z be x(12). Suppose 12*a = 28 + z. Factor 1/10*t**5 + 1/5 - 2/5*t**4 - 1/2*t + 2/5*t**a + 1/5*t**2.
(t - 2)*(t - 1)**3*(t + 1)/10
Suppose 2*q + 4*q**3 - 21*q**4 - 2*q**5 + q - 5*q + 9*q**4 + 38*q**2 - 12 - 14*q**2 = 0. Calculate q.
-6, -1, 1
Let f be (8 + -9)/3 - 10/6. Let z be f + (-84)/(-45) - 154/(-165). Factor -2/5*g + 2/5*g**4 - 4/5*g**2 + 2/5 + z*g**3 - 2/5*g**5.
-2*(g - 1)**3*(g + 1)**2/5
Let z(q) be the third derivative of q**6/24 - 4*q**5/3 + 275*