-3/4*i**2 + 0 + 3/4*i = 0.
0, 1
Let u(d) be the third derivative of -1/40*d**6 + 0*d**3 + 1/5*d**5 - 1/70*d**7 - 32*d + 0 + d**2 + 1/2*d**4. Find s, given that u(s) = 0.
-2, -1, 0, 2
Solve -106*x**5 - 70*x**5 - 222*x**2 - 121*x**4 - 48*x - 178*x**2 + 1277*x**4 - 532*x**3 = 0 for x.
-1/4, -2/11, 0, 1, 6
Let q(h) be the second derivative of -5*h**4/12 - 205*h**3/6 + 575*h**2 + 643*h + 2. Factor q(o).
-5*(o - 5)*(o + 46)
Let d be (483/(-28))/(-69) + (-3)/(-24). Factor 0*b + 0 + d*b**3 - 27/8*b**2.
3*b**2*(b - 9)/8
Suppose 2344*c + 3 = 2348*c + 3*d, -4*d - 9 = c. Let i(b) be the second derivative of 0*b**2 + 0 - 1/3*b**c + 1/40*b**5 + 1/8*b**4 - 41*b. Factor i(n).
n*(n - 1)*(n + 4)/2
Let h(m) = 57*m**2 - 720*m + 222. Let b be (-9)/((-51)/(-18) - 20/8). Let l(i) = -8*i**2 + 103*i - 32. Let f(p) = b*l(p) - 4*h(p). What is y in f(y) = 0?
1/4, 8
Let t(u) = -13*u**3 + 99*u**2 - 18*u. Let b(q) = -3*q**3 + 25*q**2 - 4*q. Let j(w) = -18*b(w) + 4*t(w). Factor j(k).
2*k**2*(k - 27)
Let i = 123 - 119. Factor -4*y**3 - 45*y - 5*y**i - 31*y**3 - 54*y**2 - 32*y**2 + 11*y**2.
-5*y*(y + 1)*(y + 3)**2
Let f(n) be the second derivative of -1/15*n**4 + 0*n**2 + n + 1/150*n**6 + 0*n**3 - 7 - 3/100*n**5. Determine m, given that f(m) = 0.
-1, 0, 4
Let l(o) be the second derivative of 7/90*o**5 + 2/3*o**2 + 17/27*o**3 + 1/135*o**6 - 4 + 17/54*o**4 - 18*o. Factor l(d).
2*(d + 1)**2*(d + 2)*(d + 3)/9
Let o(k) be the third derivative of -1/8*k**4 + 0*k**3 + 3/80*k**6 + 0*k - 1/224*k**8 - 1/40*k**5 + 1/140*k**7 + 0 + 63*k**2. Solve o(x) = 0 for x.
-1, 0, 1, 2
Let f(n) be the first derivative of n**5/20 - n**4/4 + n**3/2 - 29*n**2/2 + 3*n + 57. Let o(c) be the second derivative of f(c). Find i, given that o(i) = 0.
1
Let p = 46692 - 93383/2. Factor g + 3/2*g**2 + 0 + p*g**3.
g*(g + 1)*(g + 2)/2
Let y(p) be the third derivative of p**7/504 + p**6/16 + 7*p**5/12 - p**4/24 + p**3/3 + 3*p**2 + 9. Let h(t) be the second derivative of y(t). Factor h(s).
5*(s + 2)*(s + 7)
Let n = -1863 - -1863. Let g(z) be the second derivative of 0*z**3 + 0*z**2 + 19*z - 1/18*z**4 - 1/60*z**5 + 1/90*z**6 + n. Factor g(m).
m**2*(m - 2)*(m + 1)/3
Suppose 3184*a = 3187*a - 5*n + 11, 5*n - 20 = 0. Let v = -43 + 131/3. Factor -1/2*h**2 - 2/3*h**a + v - 1/6*h**4 + 2/3*h.
-(h - 1)*(h + 1)*(h + 2)**2/6
Factor 200/3 + 8/3*c**3 + c**2 - 1/3*c**4 - 130/3*c.
-(c - 5)**2*(c - 2)*(c + 4)/3
Suppose 0 = 2*m - 4*l + 13 - 9, 0 = -2*m - 2*l - 4. Let w(z) = -z**3. Let s(x) = x**4 + x**3 + 2*x**2 - 4*x - 3. Let a(d) = m*s(d) + 6*w(d). Factor a(p).
-2*(p - 1)*(p + 1)**2*(p + 3)
Let n(s) = s**3 + 2*s**2 - s. Let x = -135 - -134. Let z(q) = -23*q**3 - 241*q**2 - 631*q - 75. Let l(u) = x*n(u) + z(u). Factor l(m).
-3*(m + 5)**2*(8*m + 1)
Let o(z) = 4*z**3 - 82*z**2 + 85*z - 7. Let x(y) = 2*y**3 - 40*y**2 + 41*y - 3. Let v(h) = 6*o(h) - 14*x(h). Factor v(a).
-4*a*(a - 16)*(a - 1)
Suppose z = 2*q - 24, 0 = -3*q + 15*z - 11*z + 46. Let u be ((-432)/(-450))/(2/q). Suppose -u*c**2 - 8/5*c**3 - 4/5 - 18/5*c = 0. What is c?
-2, -1/2
Factor 0 - 1/6*l**3 + 143/3*l**2 + 287/6*l.
-l*(l - 287)*(l + 1)/6
Let f(u) be the first derivative of u**5 + 2005*u**4/2 + 804005*u**3/3 - 3691. Solve f(l) = 0 for l.
-401, 0
Let v be (-10)/(2 + -1 + -2). Let k = -263 - -266. Solve j**k - 154*j**4 + 164*j**4 + 6*j**5 - v*j**2 - j - 3*j - 3*j**3 = 0 for j.
-1, -2/3, 0, 1
Let q(l) be the third derivative of -2*l**7/315 - l**6/90 + 2*l**5/15 - 4*l**2 + 131*l. Factor q(j).
-4*j**2*(j - 2)*(j + 3)/3
Solve -255/7*m**2 + 15/7*m**4 + 0 + 3/7*m**5 + 300/7*m - 9*m**3 = 0 for m.
-5, 0, 1, 4
Let i = 141501 - 283001/2. Factor -i*z**2 + z + 0.
-z*(z - 2)/2
Let y be ((-34)/4)/(12/(-3996)*-9). Let a = y + 315. Factor 0*p + 0*p**2 + 0 + 1/2*p**4 - a*p**3.
p**3*(p - 1)/2
Let c(q) be the third derivative of -q**2 - 1/84*q**8 + 0*q + 0*q**3 - 4/15*q**5 - 2/3*q**4 + 1/10*q**6 - 12 + 4/105*q**7. Find u, given that c(u) = 0.
-1, 0, 2
Let m(j) = 2*j**2 + 1675*j + 1675. Let a be m(-1). Factor 686/11*p**4 - 896/11 + 3626/11*p**3 + 416*p - 7560/11*p**a.
2*(p + 7)*(7*p - 4)**3/11
Let r be (1/20*2)/(384/31680). Suppose -3/4*a**3 + r*a**2 + 36 - 30*a = 0. What is a?
3, 4
Suppose 8*y = 5*y + 6. Suppose -2*l - 37 = -3*s - 0*l, 0 = y*l + 10. Let 0*t**2 - 5*t**2 + 11*t + s*t - 5*t = 0. Calculate t.
0, 3
Let v(y) = -3*y**2 - 5*y - 1. Let b(d) = -6*d**2 + 1155*d + 1164. Let u(t) = b(t) - 3*v(t). Factor u(k).
3*(k + 1)*(k + 389)
Suppose 0 = -14*w + 162 - 120. Let i(u) be the first derivative of -2*u**w + 0*u + 3/4*u**4 - 9 + 0*u**2. Determine h, given that i(h) = 0.
0, 2
Suppose -13*c + 34*c - 13*c + 4*c = 0. Let a(z) be the second derivative of 4*z + 1/6*z**4 + z**3 + c - 4*z**2. Factor a(o).
2*(o - 1)*(o + 4)
Suppose 54 = 34*k - 82. Factor -7021 + 7066 - h**2 + 24*h + k*h**2.
3*(h + 3)*(h + 5)
Find w such that -4/3 - 86/9*w**2 - 98/9*w = 0.
-1, -6/43
Let z(y) be the third derivative of 1/8*y**6 + 94*y**2 - 11/6*y**5 + 0 + 185/24*y**4 - 25/3*y**3 + 0*y. Find l such that z(l) = 0.
1/3, 2, 5
Suppose 11*u - 189 = -10*u. Factor 8*k**2 - 910 + 958 + 13*k - u*k**2.
-(k - 16)*(k + 3)
Let v be (-255)/(-17) - 333/54*2. Factor -v + 0*u**2 + 1/6*u**3 - 2*u.
(u - 4)*(u + 2)**2/6
Let k(b) = -26 - 7*b - 16 + 27. Let j be k(-3). Let -j + 15*w**3 - 4*w**2 - 10 - 4 + 59*w**2 + 40*w = 0. What is w?
-2, 1/3
Factor 8/3*u**3 + 1/6*u**4 - 57*u**2 + 532/3*u + 1421/6.
(u - 7)**2*(u + 1)*(u + 29)/6
Let v(a) be the second derivative of a**6/120 + 3*a**5/40 + 11*a**4/48 + a**3/4 + 634*a. Factor v(w).
w*(w + 1)*(w + 2)*(w + 3)/4
Let c(i) = 1. Let q(n) = -7*n**2 + 3*n + 5. Let b(j) = c(j) - q(j). Let d be b(3). Factor -d - 2*t**2 + 66*t - 43*t - 43*t.
-2*(t + 5)**2
Let p(g) be the third derivative of -g**6/140 - 4*g**5/35 + 11*g**4/7 - 48*g**3/7 + g**2 - 54. Factor p(l).
-6*(l - 2)**2*(l + 12)/7
Let h(o) be the third derivative of o**7/42 + o**6/4 - 47*o**5/12 + 35*o**4/2 - 110*o**3/3 - 4331*o**2. Find a such that h(a) = 0.
-11, 1, 2
Suppose 3*g - i = 7, 6*g - i - 10 = 2*g. Let z(v) = -10*v - 77. Let n be z(-8). Suppose 4*q**2 - 8 - 2*q**4 + n*q**4 + 12*q - 3*q**g - 6*q**2 = 0. Calculate q.
-2, 1, 2
Let z(c) be the second derivative of -c**6/6 - 157*c**5/20 - 71*c**4/6 + 152*c**3/3 - 5179*c. Factor z(k).
-k*(k - 1)*(k + 2)*(5*k + 152)
Let -38/3*m**3 + 2/3*m**5 + 4/3*m**4 + 96 + 56*m - 64/3*m**2 = 0. What is m?
-4, -2, 3
Let n(m) = m**2 + 5*m - 16. Let q be n(4). Determine j so that 70*j**4 - 36*j**4 - 15*j**3 - 29*j**4 + q*j = 0.
-1, 0, 2
Let f be (-39)/(-2 + 5) - (-1568)/96. Factor 2/9*c**5 + 10*c - 140/9*c**2 - f*c**4 + 100/9*c**3 - 22/9.
2*(c - 11)*(c - 1)**4/9
Let p = 86971/5 + -17391. Let b(x) be the first derivative of 11 - 4/15*x**3 + 0*x**2 + p*x. Solve b(k) = 0 for k.
-2, 2
Let i(u) be the second derivative of -u**5/50 + 26*u**4/15 - 172*u**3/5 + 288*u**2 - 23*u - 159. Factor i(o).
-2*(o - 40)*(o - 6)**2/5
Determine k, given that 2*k**2 - 602*k - 9*k**2 + 2*k**2 + k**2 + 1196 - 590*k = 0.
-299, 1
Suppose -33 = -7*v + 135. Suppose 10*c + 28 = v*c. Determine s so that 10/9*s**4 - 10/9*s**c + 2/9*s**3 - 2/9*s + 0 = 0.
-1, -1/5, 0, 1
Let b(s) be the first derivative of -s**6/2 + 98*s**5/5 + 19*s**4/2 - 164*s**3/3 - 35*s**2/2 + 66*s + 1222. Find i such that b(i) = 0.
-1, 2/3, 1, 33
Let r(u) = -3*u + 18. Suppose 3*q + 2 = b - 12, -4*q = 12. Let a be r(b). Factor -k**a - 498*k + k**4 + 0*k**4 + 498*k.
k**3*(k - 1)
Let l(p) = -61*p**3 + 174*p**2 + 149*p - 30. Let t(b) = -8*b**3 - b**2 + 1. Let h(w) = -2*l(w) + 14*t(w). Factor h(a).
2*(a - 37)*(a + 1)*(5*a - 1)
Let p(x) be the third derivative of 3*x**7/280 + 283*x**6/96 + 28237*x**5/120 + 5603*x**4/8 + 507*x**3 + 805*x**2. Solve p(r) = 0 for r.
-78, -1, -2/9
Let w(t) = -7*t**2 - 5*t - 1. Let b(s) = 23*s**2 + s - 85. Let k(z) = -2*b(z) - 6*w(z). Factor k(i).
-4*(i - 11)*(i + 4)
Let n = 746 + -728. Suppose 0 = -n*c - 241 + 295. Factor -3/4 - 1/4*y**c - 5/4*y**2 - 7/4*y.
-(y + 1)**2*(y + 3)/4
Let f(a) be the first derivative of a**4/8 + 12*a**3 - a**2/4 - 36*a + 4477. Solve f(c) = 0.
-72, -1, 1
Let w(t) = -t**3 + 21*t**2 - 10*t - 46. Let i(g) = -4*g**3 + 105*g**2 - 49*g - 235. Let l(c) = -2*i(c) + 11*w(c). Factor l(d).
-3*(d - 6)*(d - 2)*(d + 1)
Let a(k) be the first derivative of 12/35*k**5 - 52/21*k**3 + 12/7*k**2 + 4/7*k**4 + 0*k + 14. Determine i so that a(