8/3*v**5.
-4*v**2*(13*v - 6)**3/3
Let k be 1/4*0 + 4. What is a in 11*a**3 + 4*a - k*a**3 + 16*a**4 - 7*a**5 - 4*a**3 - 16*a**2 = 0?
-1, 0, 2/7, 1, 2
Let c(a) = -2*a**5 - 7*a**4 + 14*a**3 + 13*a**2 - 12*a. Let o(s) = s**5 - s**4 - 2*s**3 - s**2 + s. Let l(m) = 2*c(m) + 6*o(m). Factor l(z).
2*z*(z - 9)*(z - 1)**2*(z + 1)
Let r(z) be the first derivative of -4*z**5/15 - 22*z**4/3 - 388*z**3/9 + 176*z**2 - 192*z - 51. Determine x, given that r(x) = 0.
-12, 1
Let f(d) = d**2 - d**2 - d**2 + 10*d + 20 - 4*d. Let a be f(8). Factor 7/4*u**a - 7/4*u**2 + 0 - 1/2*u**3 + 1/2*u.
u*(u - 1)*(u + 1)*(7*u - 2)/4
Let v(f) be the third derivative of -f**4/8 + f**3/6 - f**2. Let a be v(-1). Factor -b + 5 - a*b - 2 - b + 3*b**2.
3*(b - 1)**2
Let x(l) be the second derivative of -l**6/120 - l**5/80 + 507*l. Find h such that x(h) = 0.
-1, 0
Let d be (26/(-39))/((-1)/3). Suppose -2*t - d = -6. Factor -2*l + 6*l**t - 2*l**3 + 2*l**2 - 4*l**2.
-2*l*(l - 1)**2
Let k be ((-3)/6 - 0)/(2/156). Let m = 39 + k. Suppose 0*r + 2/9*r**2 - 2/9*r**5 - 2/3*r**3 + 2/3*r**4 + m = 0. Calculate r.
0, 1
Suppose -o - 2*u + 228 = 0, 4*o - 896 = -0*o - 4*u. Let k = o - 220. Let k + 1/5*s**2 - 1/5*s = 0. Calculate s.
0, 1
Factor -295*w + 587*w - 15*w**3 - 12*w**2 - 289*w.
-3*w*(w + 1)*(5*w - 1)
Let o be ((-9)/30*(-328)/(-246))/((-7)/5). Factor -1/7 - o*n - 1/7*n**2.
-(n + 1)**2/7
Let z be ((-308)/(-40) - (-3)/(-6)) + -4 + 0. Factor 0 - 16/5*h**3 + z*h**2 + 0*h + 4/5*h**4.
4*h**2*(h - 2)**2/5
Let o(q) be the first derivative of 1/2*q**6 + 9 - 12/5*q**5 + 0*q - 6*q**2 + 9/4*q**4 + 4*q**3. Suppose o(x) = 0. Calculate x.
-1, 0, 1, 2
Let o(l) be the first derivative of -2*l**3/3 - 4*l**2 + 8*l - 9. Let q(p) = 4*p**2 + 0*p**2 - 3*p**2. Let h(d) = -o(d) - 4*q(d). Factor h(k).
-2*(k - 2)**2
Let f(r) = -3*r**2 - 3. Let x = -4 + 11. Let g(z) = 0*z + x - 29*z**2 + 36*z**2 - z. Let o(d) = -10*f(d) - 4*g(d). Determine v, given that o(v) = 0.
-1
Solve -11*q**2 + 16*q**4 + 11*q**2 - 23*q**3 - 13*q**3 - 4*q + 9*q**2 + 15*q**2 = 0 for q.
0, 1/4, 1
Let n be 0 + 51/(-18) + 3. Let s(r) be the second derivative of 4/3*r**2 + 3*r - n*r**4 + 0 + 1/45*r**6 + 4/9*r**3 - 1/15*r**5. Suppose s(o) = 0. What is o?
-1, 2
Let u(b) = 25*b**3 + 90*b**2 + 100*b + 25. Let o(a) = 24*a**3 + 89*a**2 + 100*a + 24. Let q(s) = 5*o(s) - 4*u(s). Let q(p) = 0. Calculate p.
-2, -1/4
Let y be 3*-2*(-2)/8*2. Suppose -2*p + l = 1, -2 - 9 = -y*p - l. Factor v**4 - v**3 - 7/4*v**p + 0 - 1/2*v.
v*(v - 2)*(2*v + 1)**2/4
Let k(v) = 2*v + 6. Let g be k(0). Factor 32*q - 16 - 20*q**2 + g*q**3 + 2*q**3 - 4*q**3.
4*(q - 2)**2*(q - 1)
Let c(h) = 29*h + 903. Let k be c(-31). What is a in 0 - 1/3*a**3 - 1/3*a**k + 0*a**2 + 0*a = 0?
-1, 0
Suppose 4*d = 7*d + 3*y, 2*y = 2*d. Factor -24/23*i**2 + 26/23*i**3 + 8/23*i - 12/23*i**4 + 2/23*i**5 + d.
2*i*(i - 2)**2*(i - 1)**2/23
Suppose -7*o + 14 + 21 = 0. Factor -122*y + 2*y**3 + 117*y - o*y**2 + 3*y**3 + 5.
5*(y - 1)**2*(y + 1)
Suppose 190 - 141 - 21*m + m**2 + 7*m = 0. Calculate m.
7
Let i(r) be the first derivative of r**5/5 - 13*r**4/6 + 55*r**3/9 - 22*r**2/3 + 4*r - 170. Factor i(n).
(n - 6)*(n - 1)**2*(3*n - 2)/3
Find z, given that -30*z**3 - 39*z**3 - 10*z**2 - 15*z + 74*z**3 = 0.
-1, 0, 3
Suppose 4*v - 44 = -36. Determine a, given that 3*a**2 - 15*a - v + 17 - 2 + 5 = 0.
2, 3
Let r(s) = -47*s - 2. Let j be r(-1). Factor 4*x**2 - 45 + j + 5*x + 3*x.
4*x*(x + 2)
Suppose -7*w = -2*w. Suppose w = -0*n - 2*n. Suppose n*u + 2*u - u**2 - u = 0. Calculate u.
0, 1
Suppose 0*n - 2*n + 10 = 0, 37 = b + 5*n. Let g = 25/2 - b. Suppose -g*a**3 + 1/4*a**5 + 0 + 1/4*a + 0*a**4 + 0*a**2 = 0. What is a?
-1, 0, 1
Factor c**3 - 25/3 - 31/3*c**2 + 85/3*c.
(c - 5)**2*(3*c - 1)/3
Let s be 26/6 + (-16)/(-24). Let p be (-1)/(-1) + s/(-35) - 0. Find h such that -p - 2/7*h**2 + 8/7*h = 0.
1, 3
Determine x so that 52/7*x - 4/7*x**2 + 0 = 0.
0, 13
Let x = 24219 - 24219. Let -4/3*b + b**3 + 1/3*b**4 + x + 0*b**2 = 0. What is b?
-2, 0, 1
Let u(d) be the first derivative of -d**7/140 + d**6/40 - d**5/40 - 17*d**2/2 - 31. Let g(j) be the second derivative of u(j). Find s, given that g(s) = 0.
0, 1
Suppose -1 = -5*t - 3*n + 2, 4*t = n - 1. Let q(k) be the first derivative of 8/3*k**3 - k**4 + 2 + t*k - 2*k**2. Factor q(j).
-4*j*(j - 1)**2
Suppose 2/3*w**4 - 16/3*w**3 + 4*w**2 - 14/3 + 16/3*w = 0. Calculate w.
-1, 1, 7
Let g(n) = -6*n**3 + 4*n**2 + 8*n - 6. Let m(r) = -5*r**3 + 4*r**2 + 8*r - 7. Let w(j) = -3*g(j) + 2*m(j). Find y, given that w(y) = 0.
-1, 1/2, 1
Let g(d) be the second derivative of -d**6/30 - 4*d**5/5 - 8*d**4 - 128*d**3/3 + 3*d**2/2 + 6*d. Let h(o) be the first derivative of g(o). Factor h(v).
-4*(v + 4)**3
Let f(h) be the second derivative of 0 - 1/12*h**4 + 1/2*h**2 - 1/6*h**3 - h + 1/20*h**5. What is x in f(x) = 0?
-1, 1
Suppose 32*n = 98*n - 45*n. Factor n - 6/5*o**2 + 0*o + 2/5*o**3.
2*o**2*(o - 3)/5
Let o = 9675 + -9675. Factor 2/9*y**2 - 2/9*y**4 + 0*y + o*y**3 + 0.
-2*y**2*(y - 1)*(y + 1)/9
Suppose -77*f = -3*f - 222. Solve 2/3 - 2/3*p - 2/3*p**2 + 2/3*p**f = 0 for p.
-1, 1
Let v(y) be the second derivative of y**6/60 - 9*y**5/40 + y**4 - 4*y**3/3 - 2*y + 40. Factor v(z).
z*(z - 4)**2*(z - 1)/2
Suppose 680*a**5 - 92*a**2 + 4 + 88*a**4 + 861*a**5 + 4*a - 164*a**3 - 1381*a**5 = 0. Calculate a.
-1, -1/2, -1/4, 1/5, 1
Let m(n) = 6*n - 36. Let f be m(6). Let l(i) be the third derivative of f*i**4 + 7*i**2 + 0 + 0*i**3 + 0*i - 1/60*i**5. Factor l(z).
-z**2
Let 0 - 6*s**2 + 0 + s**3 + 46 + 2 - 42*s**2 - s = 0. What is s?
-1, 1, 48
Let v = 8093/9 + -899. What is k in 0 + 2/3*k**3 + 2/3*k**2 + 2/9*k**4 + v*k = 0?
-1, 0
Let x be ((-616)/(-182))/(-22) + 28/13. What is p in -1/6 - 16*p**x - 128/3*p**4 - 128/3*p**3 - 8/3*p = 0?
-1/4
Let h(t) be the third derivative of -t**6/300 + t**5/10 + 6*t**4/5 + 76*t**3/15 - 2*t**2 + 88. Factor h(l).
-2*(l - 19)*(l + 2)**2/5
Let i(y) be the second derivative of y**9/360 - y**8/4200 - y**7/1050 - 3*y**3 - 4*y. Let z(j) be the second derivative of i(j). Factor z(d).
2*d**3*(3*d - 1)*(7*d + 2)/5
Let r(x) be the third derivative of 1/120*x**5 + 12*x**2 + 0*x**3 + 1/480*x**6 + 0*x + 0 + 0*x**4. Suppose r(w) = 0. What is w?
-2, 0
Let o be 5 - 0*2/4. Factor 9*j**4 - j**2 + 21*j + 35*j**2 + 6*j**3 + j**5 + o + 20*j**3.
(j + 1)**4*(j + 5)
Suppose -1152/7 - 2/7*v**2 + 96/7*v = 0. What is v?
24
Let x(i) be the second derivative of -i**5/10 + i**4/6 + i**3/3 - i**2 + 38*i. Determine c so that x(c) = 0.
-1, 1
Factor 8/15*k**2 - 8/5 - 94/15*k.
2*(k - 12)*(4*k + 1)/15
Let m(v) be the third derivative of -v**6/780 - 2*v**5/195 - v**4/39 + 46*v**2. Suppose m(r) = 0. What is r?
-2, 0
Let f be (3 - (-5)/(-3))/(84/189). Let a(n) be the first derivative of -5 + 0*n + 1/2*n**2 + 1/4*n**4 - 2/3*n**f. Find j such that a(j) = 0.
0, 1
Find o, given that 534*o**3 + 15*o**2 + 534*o**3 + 12*o - 1065*o**3 = 0.
-4, -1, 0
Let s(x) be the second derivative of -x**7/105 - 2*x**6/75 + 43*x**5/50 + 22*x**4/15 - 28*x**3/5 - 768*x. What is t in s(t) = 0?
-7, -2, 0, 1, 6
Let i(m) be the third derivative of m**5/30 + m**4/2 + 5*m**3/3 - 35*m**2. Let u be i(-5). Find y such that 1/3*y**4 - 2/3*y**2 + 1/3 + u*y + 0*y**3 = 0.
-1, 1
Find n such that -253*n**2 - 196 + 54*n**3 - 420*n + 2*n**4 - 3*n**4 - 84*n**3 = 0.
-14, -1
What is w in 72/7*w - 2*w**2 - 10/7 = 0?
1/7, 5
Let v(d) be the second derivative of d**7/168 + 3*d**6/40 + 27*d**5/80 + 31*d**4/48 + d**3/2 + 14*d - 6. Factor v(a).
a*(a + 1)**2*(a + 3)*(a + 4)/4
Suppose 1215 + 98*h**2 - 1335 + 380*h + 45*h**3 - 428*h**2 = 0. What is h?
2/3, 6
Let w(d) = -4*d + 52. Let f be w(14). Let q = f - -13/2. Factor 1 + 2*z**2 + 1/2*z**3 + q*z.
(z + 1)**2*(z + 2)/2
Let g(h) be the third derivative of 0*h - 7/33*h**4 - 1/330*h**5 - 196/33*h**3 + 0 - 20*h**2. Determine w, given that g(w) = 0.
-14
Find v, given that -36*v + 156*v**4 + 12*v**2 - 148*v**4 - 34*v**2 + 168*v**2 - 152*v**3 = 0.
0, 1/2, 18
Let v be -1 + 4 - -4*8/32. Let d(g) be the second derivative of 4*g - 1/48*g**v + 0 + 1/8*g**2 + 0*g**3. Solve d(t) = 0 for t.
-1, 1
Let z be (0/((-8)/4))/2. Suppose -2*i - 2*f + z*f + 12 = 0, -2*f - 2 = -5*i. Factor 2*t + 2/3 + 2/3*t**3 + 2*t**i.
2*(t + 1)**3/3
Let j(c) = -c. Let y(d) = -5*d**2 - d + 10. Suppose 5*i - 2*f + 30 = 2*f, 0 = 2*i + 2*f + 12. Let z(t) = i*j(t) + y(t). 