**x + 0*n.
(n - 1)*(n + 1)/5
Factor 2*i**4 + 0*i + 22*i**2 - 178460*i**3 + 178448*i**3 - 12*i.
2*i*(i - 3)*(i - 2)*(i - 1)
Let p(t) = -1957*t - 5865. Let q be p(-3). Determine d, given that 3*d + 15/2*d**2 - 3*d**4 - 3/4*d**5 - q - 3/4*d**3 = 0.
-2, 1
Let v(x) be the third derivative of x**5/30 + 37*x**4/6 + 1369*x**3/3 - 4*x**2 - 1. Find h such that v(h) = 0.
-37
Suppose -8 = 4*f - 8*f. Factor -367*m**f - 5*m**3 + 20*m + 362*m**2 - 5 + 25.
-5*(m - 2)*(m + 1)*(m + 2)
Let 1/3*m**2 + m**3 - m - 2/3 + 1/3*m**4 = 0. What is m?
-2, -1, 1
Suppose 0*w = 6*w. Suppose 4*q + 2 = -18, -4*q - 18 = j. Find c, given that -1/2 + 1/2*c**j + w*c = 0.
-1, 1
Let f(m) be the third derivative of -1/15*m**5 + 0*m - m**2 + 1/40*m**6 + 0*m**3 + 0 + 1/336*m**8 + 2/105*m**7 - 1/6*m**4. Factor f(l).
l*(l - 1)*(l + 1)*(l + 2)**2
Let h(w) be the second derivative of 0 + 42*w - 1/15*w**4 - 128/5*w**2 + 32/15*w**3. What is b in h(b) = 0?
8
Solve -2/9*j**2 - 8/3*j - 8 = 0 for j.
-6
Let c(b) be the second derivative of b**4/3 + 76*b**3/3 + 722*b**2 - 22*b. Determine n, given that c(n) = 0.
-19
What is r in 2/17*r**2 - 56/17*r**3 + 0 + 56/17*r - 2/17*r**4 = 0?
-28, -1, 0, 1
Let c(t) be the second derivative of -t**7/42 + 13*t**6/30 - 9*t**5/4 - 25*t**4/12 + 125*t**3/3 + 3*t + 6. Factor c(i).
-i*(i - 5)**3*(i + 2)
Let l(o) = -o - 25. Let d be l(-20). Let g be (d - -10 - -2)*8/14. Solve 3*m**2 - 1/2*m**3 - 6*m + g = 0 for m.
2
Let i be (16/12)/(2/3). Factor -2*p**5 + 8*p**i - 9*p + 7*p**3 - 2*p**4 - p**3 + p - 2*p**4.
-2*p*(p - 1)**2*(p + 2)**2
Let y(c) = -19*c**3 + 134*c**2 + 5*c - 127. Let n(x) = -13*x**3 + 90*x**2 + 3*x - 85. Let i(u) = 7*n(u) - 5*y(u). Factor i(m).
4*(m - 10)*(m - 1)*(m + 1)
Let q be (-1)/(-2) - (-325)/(-10). Let o = 55 + q. Solve 10*k - o*k - k**3 + 1 + 10*k + 3*k**2 = 0.
1
Find g such that -7/2*g**5 + 0 + 8*g + 18*g**3 - 23/2*g**4 + 34*g**2 = 0.
-4, -1, -2/7, 0, 2
Let a be 2 + -4 + (4 - 0). Solve 10 + 10*i - 10 - 40*i**3 - 5*i**a - 25*i**4 = 0.
-1, 0, 2/5
Suppose 3686 = 14*s + 3686. Factor s*z**2 + 4/3*z**3 + 0 + 0*z.
4*z**3/3
Suppose 0 + 0*o**2 - 356/13*o**4 + 15842/13*o**3 + 2/13*o**5 + 0*o = 0. What is o?
0, 89
Let s(i) be the third derivative of -i**8/56 + 47*i**7/70 - 53*i**6/10 - 371*i**5/10 - 325*i**4/4 - 169*i**3/2 + 26*i**2. Solve s(z) = 0 for z.
-1, -1/2, 13
Let c(a) be the first derivative of 1/96*a**4 + 0*a**2 + 1/240*a**5 + 1/1440*a**6 + 3 + 0*a - a**3. Let u(l) be the third derivative of c(l). Factor u(i).
(i + 1)**2/4
Factor -128/5*k + 2/5 + 2048/5*k**2.
2*(32*k - 1)**2/5
Factor -65/2*d**2 + 0 + 33*d - 1/2*d**3.
-d*(d - 1)*(d + 66)/2
Let x = 23 + -20. Let a(l) be the first derivative of -x*l**5 - 10*l**4 + 2*l**5 + 40*l**3 + 6 + 5 + 2*l**5 - 80*l**2 + 80*l. Determine z, given that a(z) = 0.
2
Let 7/2*m**4 + 0*m + 0 + 2*m**3 - 3/2*m**2 = 0. What is m?
-1, 0, 3/7
Let v be (-2201)/(-372) + 3/36. Factor -v - 147/2*x**2 + 42*x.
-3*(7*x - 2)**2/2
Let w be (5600/120 + -47)*(0 - (1 - 1)). Suppose w*a**2 - 2/7 - 1/7*a**3 + 3/7*a = 0. Calculate a.
-2, 1
Suppose 3*x + 10 = 4*x + 3*t, 0 = -3*x - 3*t + 54. Suppose -20*r = -31*r + x. Find s, given that s + 1/2*s**r + 0 = 0.
-2, 0
Factor 10 - 112/11*n + 2/11*n**2.
2*(n - 55)*(n - 1)/11
Let r be (3/(-19))/((-36)/342). Solve -z + r*z**4 + 0 - 3/2*z**2 + 1/2*z**5 + 1/2*z**3 = 0.
-2, -1, 0, 1
Let w(v) be the third derivative of 7*v**6/40 + 13*v**5/10 + 5*v**4/2 - 4*v**3 + 18*v**2. Factor w(t).
3*(t + 2)**2*(7*t - 2)
Let i = -5563/3 - -1857. Suppose 0 = 6*n - 4*n - 4. Suppose -i + 2/3*y**3 + n*y**2 + 0*y = 0. Calculate y.
-2, 1
Let d(i) = i**4 + 26*i**3 - 94*i**2 + 111*i - 39. Let a(j) = j**4 + 27*j**3 - 95*j**2 + 109*j - 38. Let s(k) = 5*a(k) - 4*d(k). Let s(q) = 0. What is q?
-34, 1
What is z in 6/7*z**4 - 12/7*z + 0 - 18/7*z**2 + 0*z**3 = 0?
-1, 0, 2
Let d(p) be the first derivative of 5*p**3/3 - 140*p**2 + 275*p + 650. Find y such that d(y) = 0.
1, 55
Let i be 2*((-6)/(-4) + (-7)/7). Let j be (i/(-3))/(0 + 2/(-2)). Factor -2/3*r**2 + 0*r + j*r**3 + 0.
r**2*(r - 2)/3
Let h(g) be the third derivative of -g**9/272160 - g**8/45360 - g**5/60 + 8*g**2. Let s(l) be the third derivative of h(l). Factor s(w).
-2*w**2*(w + 2)/9
Suppose -4*l + 2*o = -72, -49 = -3*l + 2*o + 4. Solve -l*d + 2*d - 2*d**3 + 6*d**2 + 13*d = 0 for d.
0, 1, 2
Let a(q) = 5*q**2 - 5*q + 2. Let y be a(1). Let 2*s**y + 12*s - 2*s**2 + 2*s**2 - 68 + 86 = 0. Calculate s.
-3
Let k(i) = 2*i**2 - 358*i + 2413. Let t be k(7). Suppose 0*z**4 + 0 + 0*z**2 + 0*z - 2/11*z**3 + 2/11*z**t = 0. What is z?
-1, 0, 1
Suppose 0 = b - 4*b + 105. Let a be 14/b + 42/45. Find p, given that -a*p + 2/3*p**4 + 4/3*p**3 - 8/3*p**2 + 2 = 0.
-3, -1, 1
Let s(l) be the first derivative of -2*l**3/15 + 6*l**2/5 - 16*l/5 + 39. Factor s(x).
-2*(x - 4)*(x - 2)/5
Let v(d) be the first derivative of 15*d**4/16 + 7*d**3/2 - 3*d**2/8 - 27*d/2 - 343. Solve v(k) = 0.
-2, -9/5, 1
Let a(o) be the third derivative of o**8/1680 + 23*o**7/350 + 757*o**6/300 + 732*o**5/25 - 1584*o**4/5 + 4608*o**3/5 - 36*o**2. Factor a(v).
(v - 2)*(v - 1)*(v + 24)**3/5
Let i(l) be the third derivative of 0*l**4 - 11*l**2 + 0 + 0*l**3 + 1/168*l**7 - 1/48*l**5 + 0*l**6 + 0*l. What is j in i(j) = 0?
-1, 0, 1
Let q = 1043 + -2083/2. Let -9/8 - 3/8*w**2 - q*w = 0. Calculate w.
-3, -1
Let u(q) be the first derivative of 3*q**5/5 + 9*q**4/2 - 8*q**3 - 9*q**2 + 21*q - 148. Factor u(j).
3*(j - 1)**2*(j + 1)*(j + 7)
Suppose 9 - 3 = 2*x. Let s(j) be the second derivative of 6*j**2 + 0 + 45/4*j**4 + 12*j**x + 4*j + 81/20*j**5. Factor s(t).
3*(3*t + 1)*(3*t + 2)**2
Let k = -4645 - -32519/7. Let p = 624/7 - 89. Factor k + p*j**3 - 3/7*j**2 + 0*j.
(j - 2)**2*(j + 1)/7
Let z(y) be the second derivative of y**4/6 - 10*y**3/3 + 24*y**2 - 22*y - 3. What is q in z(q) = 0?
4, 6
Let v(y) be the third derivative of y**5/210 - 67*y**4/84 + 22*y**3/7 + 119*y**2 + y. Factor v(h).
2*(h - 66)*(h - 1)/7
Let n(q) be the second derivative of q**5/70 - 3*q**4/7 + 27*q**3/7 + 498*q. Suppose n(g) = 0. Calculate g.
0, 9
Let r(a) be the first derivative of 5*a**3 + 0*a**2 - 2 + 0*a + 5/4*a**4. Factor r(m).
5*m**2*(m + 3)
Let b(g) be the second derivative of g**3 + 1/8*g**4 + 3*g**2 + 0 - 15*g. Find n such that b(n) = 0.
-2
Let z(x) be the second derivative of x**4/96 + 17*x**3/48 + 10*x - 3. Factor z(s).
s*(s + 17)/8
Let g be 2/(50/(-88) + (-3)/(-4)). Solve 9 + 0*t - 3*t**2 + g*t + 0*t**2 - 5*t = 0 for t.
-1, 3
Let q be 6/10 + (-144)/(-60). Let b(g) be the third derivative of 0 + 0*g + 1/6*g**q + 1/240*g**5 + 1/24*g**4 - 2*g**2. Factor b(h).
(h + 2)**2/4
Let c = 13/115 - -2/23. Let a = 3 + 0. Solve 1/5*x**2 - 2/5*x + c*x**a + 0 = 0 for x.
-2, 0, 1
Let s(n) be the third derivative of n**7/210 + n**6/10 + n**5/6 - n**4/2 - 11*n**3/6 - 271*n**2. Solve s(r) = 0 for r.
-11, -1, 1
Let i(h) = -3*h**2 + 10*h + 1. Let r = -73 + 75. Let x(g) = 4*g**2 - 10*g - 2. Let l(s) = r*i(s) + 3*x(s). Find t such that l(t) = 0.
-1/3, 2
Factor 2/11*l**2 + 18/11 - 12/11*l.
2*(l - 3)**2/11
Suppose 7*u = 57 + 13. Factor u*z**3 + 11*z**3 - 16*z - 6 + z - 12*z**2 - 24*z**3.
-3*(z + 1)**2*(z + 2)
Determine k, given that 18/5*k**2 - 2/5*k**4 + 4/5*k - 16/5 - 4/5*k**3 = 0.
-4, -1, 1, 2
Let f be -3 + 9 + -1 - 1485/300. Let i(h) be the first derivative of -5 + 0*h**2 + f*h**5 + 1/16*h**4 + 0*h + 0*h**3. Factor i(d).
d**3*(d + 1)/4
Let b(s) = -3*s**2 - 20*s - 8. Let c(r) = -7*r + 22. Let l be c(4). Let g be b(l). Factor -6/5*y**3 - 4/5 + 6/5*y + 2/5*y**2 + 2/5*y**g.
2*(y - 2)*(y - 1)**2*(y + 1)/5
Determine n, given that -267*n + n**2 + 45 + 810*n - 269*n - 260*n = 0.
-9, -5
Let r be 3/((-1)/(-39)*9). Find t such that r*t - 18 - 3*t**2 - 10*t + 4*t + 8*t = 0.
2, 3
Suppose 190*a - 70*a = -223*a. Determine n, given that 8/9*n**3 - 10/9*n**2 - 2/9*n**4 + a + 4/9*n = 0.
0, 1, 2
Let d(t) be the first derivative of -t**3 + 21*t**2 + 96*t - 6. Suppose d(j) = 0. What is j?
-2, 16
Let b(v) be the second derivative of -12*v + 0*v**2 + 0*v**3 - 9/40*v**5 + 1/8*v**4 + 0. Factor b(r).
-3*r**2*(3*r - 1)/2
Let v(j) be the third derivative of 0*j**3 + 0*j + 2/105*j**7 + 0*j**5 + 35*j**2 - 1/10*j**6 + 0 + 2/3*j**4. Solve v(d) = 0.
-1, 0, 2
Let m(s) be the third derivative of -s**7/1995 + s**6/228 - 4*s**5/285 + s**4/57 - 8*s**2. Factor m(v).
-2*v*(v - 2)**2*(v - 1)/19
Let q(t) be the sec