/9*z**5 + 0*z**4.
2*(z - 2)*(z - 1)*(z + 1)**3/9
Factor 20/3*t + 14 + 2/3*t**2.
2*(t + 3)*(t + 7)/3
Determine c so that 71*c**4 - 53*c**3 + 8*c**5 + 50*c**2 - 3775*c + 47*c**4 + 62*c**3 + 177*c**3 + 3749*c = 0.
-13, -1, 0, 1/4
Let q(x) = 11*x - 8. Let o be q(8). Let k = o - 718/9. Factor -k*y + 4/9 - 2/9*y**2.
-2*(y - 1)*(y + 2)/9
Suppose 5*s - s = 2*f - 10, -5*s + 15 = 3*f. Let v be 32/16 + 2*(s + -1). Let v - 4/5*n**3 - 4/5*n**4 + 4/5*n**2 + 4/5*n = 0. Calculate n.
-1, 0, 1
Let d(r) be the first derivative of -13 + 0*r + 50/3*r**3 + 5/2*r**2 + 125/4*r**4. Suppose d(c) = 0. What is c?
-1/5, 0
Let q(t) be the second derivative of t**6/270 + 4*t**5/45 + 8*t**4/9 + 5*t**3/3 + 25*t. Let h(k) be the second derivative of q(k). Factor h(u).
4*(u + 4)**2/3
Let f(q) = q**3 - 3*q**2 + 2*q + 1. Let r be f(2). Suppose -n - 2*n + 7 = -h, -h = n - r. Factor 4*j**3 + 2*j**4 - n*j**4 - j**4 - 3*j**4.
-4*j**3*(j - 1)
Let z(n) be the first derivative of -n**6/72 + n**5/4 - 15*n**4/8 - 13*n**3/3 + 9. Let l(y) be the third derivative of z(y). Solve l(f) = 0.
3
Let f(g) be the second derivative of g**6/75 + g**5/5 + 17*g**4/30 + 8*g**3/15 + g + 32. Factor f(v).
2*v*(v + 1)**2*(v + 8)/5
Let v(y) = 6*y**3 - 72*y**2 + 126*y - 60. Let g(p) = 2*p**3 - 24*p**2 + 42*p - 20. Let m(b) = -16*g(b) + 5*v(b). Find u, given that m(u) = 0.
1, 10
Let s be 92/8 + 2/(7 + -3). Let u be 104/s - (2 - (-12)/(-3)). Factor u*c + 2/9*c**3 - 128/9 - 8/3*c**2.
2*(c - 4)**3/9
Suppose -14*v + 17 = -11. Suppose -v*a = -4*a - 3*a. Factor -4/11*b**2 - 8/11*b**4 + 0*b + 18/11*b**3 + a.
-2*b**2*(b - 2)*(4*b - 1)/11
What is y in -y**5 - 107*y**3 + 9*y**4 - 102*y**2 + 17*y**3 - 29*y + 190*y**2 + 23*y**4 = 0?
0, 1, 29
Let h(d) = -12*d**4 + 3*d**3 - 9*d - 9. Let g = -78 - -87. Let c(z) = -z**4 + z**3 - z - 1. Let o(n) = g*c(n) - h(n). Suppose o(j) = 0. What is j?
-2, 0
Factor -2/3*w**3 - 108 - 40/3*w**2 - 78*w.
-2*(w + 2)*(w + 9)**2/3
Suppose -6*h - 8 = -5*h. Let a(f) = -f - 6. Let y be a(h). Factor -3 - 9*x**5 - 15*x**4 + 6*x**5 - 3*x**3 - 30*x**y - 15*x - 27*x**3.
-3*(x + 1)**5
Solve 224/5 - 4/5*n**2 + 8*n = 0 for n.
-4, 14
Let u(p) be the first derivative of -p**7/168 - p**6/4 - 9*p**5/2 - 45*p**4 - 25*p**3/3 - 14. Let v(n) be the third derivative of u(n). Factor v(i).
-5*(i + 6)**3
Let h(x) be the second derivative of -x**5/20 - 89*x**4/12 + 181*x**3/6 - 91*x**2/2 + 611*x. Let h(t) = 0. What is t?
-91, 1
Suppose 3*q**5 + 1452*q**2 - 10 + 28 + 135*q**4 + 1289*q**3 - 18 + 295*q**3 = 0. What is q?
-22, -1, 0
Solve 16*p**3 - 4/3*p - 40/3*p**4 - 32/3*p**5 - 2/3*p**2 + 0 = 0.
-2, -1/4, 0, 1/2
Let o = -43/14 - -191/28. Factor 3/4*w**3 + 21/4*w - o*w**2 - 9/4.
3*(w - 3)*(w - 1)**2/4
Suppose p + f - 2*f - 7 = 0, 5*f = -2*p. Suppose b + 4*b + 3*d + 3 = 0, 4*b + 5*d = -p. Factor b*g**2 + 2*g**4 + g**2 + g**2 - 4*g**3.
2*g**2*(g - 1)**2
Suppose 2/7*i**2 + 16928/7 - 368/7*i = 0. Calculate i.
92
Let y(t) be the first derivative of -3*t**4/4 - t**3 + 9*t**2 + 412. Determine c so that y(c) = 0.
-3, 0, 2
Let n(u) be the first derivative of u**5/5 - 17*u**4/10 + 4*u**3 + 9*u**2/5 - 81*u/5 + 718. Determine t so that n(t) = 0.
-1, 9/5, 3
Let u(h) be the first derivative of -20/7*h**2 - 1/2*h**4 - 12/7*h**3 + 7 - 16/7*h - 2/35*h**5. Factor u(q).
-2*(q + 1)*(q + 2)**3/7
Let w(h) be the second derivative of -h**7/42 - h**6/15 + 5*h**4/12 + 2*h**3/3 + 14*h. Let l(s) = -s**2 - s. Let c(t) = -6*l(t) - 2*w(t). Solve c(r) = 0.
-1, 0, 1
Let c(m) = 4*m**5 - 2*m**4 - m**3 + 8*m**2 - 3*m + 3. Let a(s) = 11*s**5 - 6*s**4 - 4*s**3 + 24*s**2 - 8*s + 8. Let u(d) = 3*a(d) - 8*c(d). Factor u(x).
x**2*(x - 2)**2*(x + 2)
Let k = 20464 + -20464. Determine p so that k*p**4 + 0 - 2/15*p**5 - 2/15*p + 0*p**2 + 4/15*p**3 = 0.
-1, 0, 1
Let c(u) be the first derivative of -u**6/24 - u**5/12 + 5*u**4/24 + 5*u**3/6 + 6*u**2 - 9. Let r(k) be the second derivative of c(k). Factor r(v).
-5*(v - 1)*(v + 1)**2
Let w(o) be the third derivative of -o**8/21 + 2*o**7/21 + 19*o**6/30 + 7*o**5/15 - o**4/2 - 76*o**2. Solve w(c) = 0.
-1, 0, 1/4, 3
Let i(n) be the third derivative of -n**8/336 + 2*n**7/63 - 11*n**6/360 - 17*n**5/30 + 8*n**4/9 + 16*n**3/9 - n**2 - 4*n. Determine l, given that i(l) = 0.
-2, -1/3, 1, 4
Let a = 46 + -42. Suppose 4*d = 5*l - 3 - 9, -a*d - l = -12. Let 4/3 - 2/3*g**d + 2/3*g = 0. Calculate g.
-1, 2
Suppose 33*f - 2 = 97. Let z(v) be the second derivative of 1/110*v**5 + 4*v + 1/66*v**4 + 0 - 1/33*v**f - 1/11*v**2. Factor z(a).
2*(a - 1)*(a + 1)**2/11
Let a(l) be the first derivative of l**5/50 - l**4/10 + l**3/10 + l**2/5 - 2*l/5 + 194. Suppose a(k) = 0. Calculate k.
-1, 1, 2
Let j(d) be the third derivative of d**6/48 - 3*d**5 + 355*d**4/48 + 264*d**2. Suppose j(h) = 0. Calculate h.
0, 1, 71
Factor 81/11*a - 9*a**2 - 1/11*a**4 + 19/11*a**3 + 0.
-a*(a - 9)**2*(a - 1)/11
Let a(t) = -34*t**4 - 100*t**3 - 180*t**2 - 140*t - 40. Let b(f) = -7*f**4 - 20*f**3 - 36*f**2 - 28*f - 8. Let y(j) = 3*a(j) - 14*b(j). Factor y(s).
-4*(s + 1)**3*(s + 2)
Let 16*m - 110*m**3 - 4*m**4 + 102*m**3 + 12*m**2 + 3 - 19 = 0. What is m?
-2, 1
Let z(x) be the first derivative of x**5/30 + x**4/6 - x**3 - x**2/2 + 23*x + 59. Let i(v) be the second derivative of z(v). Factor i(p).
2*(p - 1)*(p + 3)
Let a = 36 - 36. Let w(s) be the first derivative of -2*s**3 + 36/5*s**5 - 7/2*s**6 + 0*s**2 + a*s - 9/4*s**4 + 5. Factor w(u).
-3*u**2*(u - 1)**2*(7*u + 2)
Let q(f) be the second derivative of -f**5/80 + f**4/8 - 11*f**3/24 + 3*f**2/4 + 7*f + 2. Suppose q(g) = 0. Calculate g.
1, 2, 3
Let r = 1179/782 + -3/391. Find d, given that 3*d**3 - r - 3*d**2 + 9/2*d**4 - 9/2*d + 3/2*d**5 = 0.
-1, 1
Let k be (0 + (-6)/48)*-4. Let u(l) be the first derivative of -4*l**2 - k*l**4 + 4 + 0*l - 8/3*l**3. Factor u(p).
-2*p*(p + 2)**2
Let n(y) = 99*y**2 + 2*y - 1. Let s = 1 - 0. Let i be n(s). Determine x, given that -2*x - i*x**3 + 48*x**2 + 18*x + 15*x**4 + 14*x**4 + 7*x**4 = 0.
-2/9, 0, 1, 2
Let r(g) be the first derivative of -g**5/10 + g**4/4 + g**3/2 - 5. Factor r(u).
-u**2*(u - 3)*(u + 1)/2
Let a(p) = p**2 + 150*p + 2489. Let w be a(-19). Determine b, given that 0 + w*b + 1/4*b**5 - 1/4*b**2 + 3/4*b**3 - 3/4*b**4 = 0.
0, 1
Let p = -78 - -82. Let c(k) be the third derivative of 0*k + 1/144*k**p + 3*k**2 - 1/18*k**3 + 0 + 1/360*k**5. Factor c(w).
(w - 1)*(w + 2)/6
Let d(p) be the second derivative of 8*p**2 - 6*p + 1/3*p**4 - 8/3*p**3 + 0. Find m, given that d(m) = 0.
2
Let z be 6/(-12) + 3/(-2). Let n be (-4)/9*(2 + 5/z). What is b in 0 - 2/9*b**2 + n*b**4 - 2/9*b + 2/9*b**3 = 0?
-1, 0, 1
Let h(z) be the first derivative of -3*z**5/10 - 9*z**4/8 + 9*z**3/2 - 15*z**2/4 - 9. Let h(v) = 0. Calculate v.
-5, 0, 1
Let q be (-17)/(-238) + 361/238 + -1. Find r, given that q*r**3 + 0*r + 2/17*r**2 + 0 = 0.
-1/5, 0
Let x(h) be the second derivative of 2*h + 1/21*h**4 + 1/105*h**6 - 3/70*h**5 + 0*h**3 + 0 + 0*h**2. Factor x(s).
2*s**2*(s - 2)*(s - 1)/7
Find t such that 6/7*t**2 - 72/7*t**3 + 69/7*t + 3/7*t**5 - 36/7 + 30/7*t**4 = 0.
-12, -1, 1
Factor 0 - 1/7*v**3 + 23/7*v**2 + 0*v.
-v**2*(v - 23)/7
Suppose -60*g + 134 = 7*g. Let 2*k**g + 0 - 1/2*k = 0. Calculate k.
0, 1/4
Let 16/3*w**2 - 14/3*w - 2/3*w**3 + 0 = 0. What is w?
0, 1, 7
Suppose f + 3*j - 6 = -18, -f + 4*j + 23 = 0. Factor 8*k**3 - 31*k**4 + 0*k**f + 4*k**2 + 35*k**4.
4*k**2*(k + 1)**2
Let n(y) be the second derivative of -1/32*y**4 + 1/48*y**3 + 1/240*y**6 - 8*y - 1/160*y**5 + 0 + 1/8*y**2. What is c in n(c) = 0?
-1, 1, 2
Suppose 133*y + 127*y**2 + y + 2*y**3 + 118*y + 127*y**2 = 0. What is y?
-126, -1, 0
Factor -8/9*c**2 - 4/9*c**3 + 0*c + 0.
-4*c**2*(c + 2)/9
Let q(o) = o**3 - 37*o**2 - 163*o - 23. Let c be q(41). Factor -10/3*s - 1/3 - c*s**3 - 12*s**2 - 9*s**4.
-(s + 1)*(3*s + 1)**3/3
Let n(s) be the second derivative of 3*s**5/20 + 11*s**4/4 + 15*s**3/2 - 81*s**2/2 - 7*s + 5. Factor n(v).
3*(v - 1)*(v + 3)*(v + 9)
Let g(h) be the third derivative of -h**8/672 - h**7/140 + 5*h**6/48 - 7*h**5/40 - 295*h**2. Determine d, given that g(d) = 0.
-7, 0, 1, 3
Let f(y) be the first derivative of -y**4/2 - 23*y**3/3 + 6*y**2 + 84. Factor f(o).
-o*(o + 12)*(2*o - 1)
Let k(t) = -9*t + 14. Let z be k(16). Let l be 4/26 - 370/z. Factor -2*c**l - 10*c**4 + c**5 - c**5 - 8*c**5.
-2*c**3*(c + 1)*(4*c + 1)
Let t = -1353 - -1357. Let