**4 + 0*h - 1/4*h**3 + 0 + 1/4*h**5 + j*h**2.
h**3*(h - 1)*(h + 1)/4
Let m(z) = z**2 - 6*z + 7. Let p be m(5). Solve 4*v**3 + v**4 + 5*v**p - v**3 - 5*v - 7*v - 8 - 7*v**2 = 0.
-2, -1, 2
Let h = 447 - 4915/11. Factor -2/11*w + 0 - 4/11*w**2 - h*w**3.
-2*w*(w + 1)**2/11
Suppose -14 = -5*c + 16. Suppose 0 = -c*y - y. Factor -2/9*m**3 + 4/9*m**2 + y - 2/9*m.
-2*m*(m - 1)**2/9
Factor 735*s**4 - 20*s**3 + 22 - 2*s**2 + 20*s - 9*s**2 - 13*s**2 - 733*s**4.
2*(s - 11)*(s - 1)*(s + 1)**2
Let 32*o**3 + 0*o + 0 - 29/2*o**4 - 8*o**2 + 7/4*o**5 = 0. What is o?
0, 2/7, 4
Suppose -34*t + 51 = -17. Find i, given that 0 - 10/9*i**3 + 8/3*i**t - 8/9*i = 0.
0, 2/5, 2
Let k(i) = 45*i - 988. Let f be k(22). Factor 12/5 + 8/5*l - 4/5*l**f.
-4*(l - 3)*(l + 1)/5
Let p(v) be the third derivative of -v**7/1050 - 11*v**6/600 + v**5/12 - 13*v**4/120 + 391*v**2. Factor p(w).
-w*(w - 1)**2*(w + 13)/5
Suppose 185*v = 156*v + 87. Find z such that -268/5*z**2 - 16/5 - 686/5*z**5 - 136/5*z + 784/5*z**4 + 322/5*z**v = 0.
-2/7, 1
Suppose 14739/5 + 153/5*h**2 + 2601/5*h + 3/5*h**3 = 0. Calculate h.
-17
Let h(z) = 18*z**3 + 99*z**2 + 42*z - 13. Let u be h(-5). Find t, given that 6/11*t**u + 150/11 - 60/11*t = 0.
5
Suppose -9*j = -17*j + 16. Let d(z) be the first derivative of -1/3*z**j - 2/9*z**3 - 4 + 0*z. Find i, given that d(i) = 0.
-1, 0
Let 7*u - 9*u**2 + 15*u**2 - u**4 - 5*u**2 - 7*u**3 = 0. What is u?
-7, -1, 0, 1
Factor 714 - 236 - 233 - 217 - 32*f + 4*f**2.
4*(f - 7)*(f - 1)
Factor -18*i**2 + 6*i**2 + 110*i + 3 - 23*i**2 - 18.
-5*(i - 3)*(7*i - 1)
Let x(o) = -3*o**3 - 3*o**2 + 2*o**2 - 9*o**2 - 2*o + o**3. Let i(g) = 2*g**3 + 10*g**2 + 3*g. Let u(y) = -2*i(y) - 3*x(y). Solve u(w) = 0 for w.
-5, 0
Suppose -4*t + 12 = 0, -5*t + 19 = -5*g + 9. Factor -g + 1/2*b + 3/2*b**2 - 1/2*b**4 - 1/2*b**3.
-(b - 1)**2*(b + 1)*(b + 2)/2
Let k be (1/(-24))/(120/(-72)). Let r(n) be the third derivative of 0 + 0*n**5 + 0*n + k*n**6 + 0*n**3 + 3/140*n**7 + 0*n**4 + 6*n**2 + 1/224*n**8. Factor r(m).
3*m**3*(m + 1)*(m + 2)/2
Factor -9/7*r**2 - 3/7*r**4 + 0 - 27/7*r + 15/7*r**3.
-3*r*(r - 3)**2*(r + 1)/7
Let w(b) = b**2 - 11*b - 1089. Let s be w(39). Factor 1/4*z**4 + 0*z - 1/2*z**s + 0 + 0*z**2.
z**3*(z - 2)/4
Let h(q) = -2*q**2 + q + 1. Let r(o) = o**3 + 17*o**2 + 17*o + 19. Let y be r(-16). Let s(v) = -v + 1. Let w(t) = y*s(t) - h(t). Factor w(c).
2*(c - 1)**2
Let m = 13 - 7. Let t be (m/10)/(1/5). Determine z, given that -6*z**2 + 59*z**4 - 3*z**3 + 7*z**4 - 3 + 63*z**5 + t = 0.
-1, -1/3, 0, 2/7
Let j be 1/10 + 24/(-640). Let o(x) be the third derivative of 0*x**3 - j*x**4 + 1/70*x**7 - 1/20*x**5 + 0*x + 0 + 1/224*x**8 + 0*x**6 + 5*x**2. Factor o(p).
3*p*(p - 1)*(p + 1)**3/2
Let -2/3*k**5 + 2*k**4 + 8/3 - 14/3*k**2 + 2/3*k**3 + 0*k = 0. What is k?
-1, 1, 2
Let n(i) be the third derivative of -i**7/315 + i**6/90 + 2*i**5/45 - 2*i**4/9 + i**2 - 9*i. Let n(b) = 0. Calculate b.
-2, 0, 2
Let w(d) be the second derivative of -d**7/1365 + 7*d**6/780 - d**5/65 - 27*d**2/2 + 12*d. Let h(g) be the first derivative of w(g). Solve h(z) = 0 for z.
0, 1, 6
Let n = 143 - 126. Suppose 12 = -13*f + n*f. Factor -2/3 + 2/3*i**2 + 2/3*i**f - 2/3*i.
2*(i - 1)*(i + 1)**2/3
Suppose -20*x + 171 - 111 = 0. Determine z so that 3/4*z + 0*z**2 - 1/4*z**x + 1/2 = 0.
-1, 2
Let a(h) = -1. Let r(m) = 2*m**2 + 6*m + 3. Suppose 2*w - 13 = 3. Suppose k - 9 + w = 0. Let v(y) = k*a(y) - r(y). Find f, given that v(f) = 0.
-2, -1
Factor 2/7*t**5 + 8/7*t**3 + 4/7 - 8/7*t**4 - 10/7*t + 4/7*t**2.
2*(t - 2)*(t - 1)**3*(t + 1)/7
Find z such that -3 - 3/4*z**2 - 15/4*z = 0.
-4, -1
Let k be 26 + 0 + (4 - 6). Let q = k + -22. Find o, given that 18*o - 2*o**3 - q*o**3 + 16*o**2 - 34*o = 0.
0, 2
Suppose -6*n + 4*n - 2 = i, 10 = -5*i. Let p(k) be the first derivative of 1/6*k**3 - 4 + n*k - 1/10*k**5 - 1/4*k**2 + 1/8*k**4. Factor p(z).
-z*(z - 1)**2*(z + 1)/2
Let o = -95 - -99. Suppose 3*y + 4 = o*w + 1, 5*y + w - 18 = 0. Solve 0 + 0*j**y + j - 3/2*j**2 + 1/2*j**4 = 0.
-2, 0, 1
Suppose 3*f + 6 = 6*f. Solve 5*c**4 + 3*c**4 + 2*c**3 - 2*c**f - 8*c**3 = 0.
-1/4, 0, 1
Let h be ((6/8)/((-2)/16))/(-2). Solve -129*s**h - s**4 - s - 3*s**2 + 254*s**3 - 128*s**3 = 0 for s.
-1, 0
Let l(g) be the second derivative of 0 + 9*g - 3*g**4 + 3/2*g**2 - 5/4*g**3 + 81/40*g**5. Determine d so that l(d) = 0.
-1/3, 2/9, 1
Suppose -5/3*q**2 + 100/3*q - 60 = 0. What is q?
2, 18
Let u = 6333 + -132991/21. Factor 2/21*j**2 - u*j**3 + 2/21*j - 2/21.
-2*(j - 1)**2*(j + 1)/21
Let n(w) be the second derivative of -2*w**6/45 + 7*w**5/3 - 62*w**4/3 + 712*w**3/9 - 464*w**2/3 - 5*w - 7. Suppose n(r) = 0. What is r?
2, 29
Let q(y) be the first derivative of -1/3*y**2 + 2/27*y**3 - 11 + 4/9*y. Let q(i) = 0. Calculate i.
1, 2
Suppose 26 + 34 = 10*h. Let x(y) be the second derivative of y + 0*y**2 + 9/20*y**5 + 0*y**3 + 0 + 3/10*y**h + 1/4*y**4 + 1/14*y**7. What is a in x(a) = 0?
-1, 0
Let v be -8 + -8 + (20 - 4). Let u(m) be the second derivative of -3*m + v + 0*m**2 + 0*m**5 + 0*m**3 - 1/4*m**4 + 1/10*m**6. Factor u(d).
3*d**2*(d - 1)*(d + 1)
Suppose 4*g = 5*g - 7. Suppose g*q = 30 + 61. Find u, given that -5*u**5 - 10*u**3 + 15*u**3 - 10*u**4 + q*u**2 - 3*u**2 = 0.
-2, -1, 0, 1
Suppose 2*z - 3*o - 2 = -0*o, 5*o + 2 = 3*z. Let l(t) be the first derivative of -z + 1/12*t**4 + 0*t**2 + 0*t**3 + 0*t - 1/5*t**5. Factor l(a).
-a**3*(3*a - 1)/3
Suppose 9*s - 2*o = 7*s - 204, 3*o + 534 = -5*s. Let m be (-14)/(-30) - 21/s. Determine q, given that -2/3*q**3 + 2 + 10/3*q + m*q**2 = 0.
-1, 3
Let h be (0 - 3) + (0 + -3 - -8). Factor -9*u + 6*u**h + 13*u - 11*u**2 + 16*u.
-5*u*(u - 4)
Let v(r) = -1840*r**3 - 2135*r**2 - 120*r + 35. Let i(h) = 153*h**3 + 178*h**2 + 10*h - 3. Let o(w) = 35*i(w) + 3*v(w). What is z in o(z) = 0?
-1, -2/33, 0
Solve -416/5*n + 20*n**4 - 536*n**3 + 0 + 2096/5*n**2 = 0 for n.
0, 2/5, 26
Let m be (8/(-9))/(-1 + 4/9). Factor 8/5 + m*z + 2/5*z**2.
2*(z + 2)**2/5
Let h be (-5 + 10)*(-2 + 3). Suppose -n - h = -9. Factor -u**4 + 4 - 6*u**2 - 5 + 0*u**3 - n*u**3 - 4*u.
-(u + 1)**4
Let w(i) be the third derivative of -i**5/40 + 13*i**4/8 + 27*i**3/4 + 6*i**2 + 2*i. Solve w(d) = 0.
-1, 27
Let j be ((1 + -5)/(-4))/(3/15). Suppose -x + 5*c = c, 5*c - j = 0. Determine s so that 2*s**2 + 4/3*s + 0*s**3 + 0 - 2/3*s**x = 0.
-1, 0, 2
Suppose 184 = 77*f - 201. Let i(w) be the third derivative of 0 + 1/16*w**4 + 0*w**3 + 0*w + 3*w**2 - 1/120*w**f. Factor i(g).
-g*(g - 3)/2
Let c(b) be the second derivative of b**4/36 + b**3/9 - b**2/2 - 220*b + 2. Factor c(o).
(o - 1)*(o + 3)/3
Let s(u) be the second derivative of 4*u**3 + 12*u - 21/2*u**2 - 1/4*u**4 + 0. Determine n so that s(n) = 0.
1, 7
Let l(x) be the third derivative of -5/3*x**3 + 0 + 1/24*x**6 - 5/24*x**4 + 1/6*x**5 + 0*x + 4*x**2. Let l(i) = 0. Calculate i.
-2, -1, 1
Let t(f) be the second derivative of -f**4/12 - 5*f**3/6 - 2*f**2 + 12*f. Suppose t(v) = 0. What is v?
-4, -1
Let y = -127 - -130. Let t(g) be the second derivative of 3/2*g**2 - 9/10*g**6 + 0 + 3*g**y - 9/10*g**5 + 2*g**4 - g. Find o such that t(o) = 0.
-1, -1/3, 1
Suppose 5*k + 3 = 6*k. Suppose -g - 4*i = g - 20, -5*g + 29 = k*i. Factor -2*m**4 - 2*m**g + m**4 - 6*m**3 + m**2 - 4*m**2.
-3*m**2*(m + 1)**2
Factor 8*w**3 + 7 + 4 - 3 + 1 + 24*w**2 - 8*w - 34*w**2 + w**4.
(w - 1)**2*(w + 1)*(w + 9)
Factor -531/4*r**2 + 21/4*r**3 + 81 - 246*r.
3*(r - 27)*(r + 2)*(7*r - 2)/4
Factor -125/4 - 1/4*v**3 - 75/4*v - 15/4*v**2.
-(v + 5)**3/4
Let c be 14 - ((-2322)/21)/(-9). Solve -18/7 + 6/7*l**2 - c*l = 0.
-1, 3
Suppose -89*o + 81*o = 0. Suppose o*m + 4/7*m**4 + 0*m**2 + 0 - 8/7*m**3 = 0. What is m?
0, 2
Let m be -28 + 120/8 + 15. Let 7/4*n**4 - 7/4*n**m + 5/4*n**3 - 3/2*n**5 + 1/4*n + 0 = 0. What is n?
-1, 0, 1/6, 1
Let u(t) = -t**2 + t - 1. Let p(y) = -5*y**4 - 50*y**3 + 25*y**2 + 30*y + 20. Let n(a) = -p(a) - 20*u(a). Find c such that n(c) = 0.
-10, -1, 0, 1
Factor -317965 - 6*r**2 + 317965 - r**3.
-r**2*(r + 6)
Let s = -7/3091 + 9301/12364. Factor -s*h**3 - 21/4*h**2 - 12*h - 9.
-3*(h + 2)**2*(h + 3)/4
Suppose 8 = -3*q + 5*q. Suppose u - q*r + 12 = 6*u, 14 = 4*u + r. Determine v so that -11*v**2 - 3*v + 4*v**3 + 12*v**u - 2*v - v**2 - 3*v + 4*v**5 = 0.
-2, -1, 0, 1
Let r(l) be the second derivative of -11*l - 9*l**3 - 3/10*l**5 + 0 + 9/4*l**4 + 1/60*l**6 + 81/4