 - 2/15*y**5 + w*y + 0 = 0. Calculate y.
-1, 0, 1
Factor 3/2*m**3 - 15/2*m**2 + 3/2*m**4 + 0 + 9/2*m.
3*m*(m - 1)**2*(m + 3)/2
Let r(l) be the first derivative of -3*l**5/10 - 39*l**4/4 - 169*l**3/2 + 83. Factor r(h).
-3*h**2*(h + 13)**2/2
Let s(z) be the second derivative of z**8/420 - z**7/105 - z**6/90 + z**5/15 - 37*z**3/6 - 3*z - 1. Let j(w) be the second derivative of s(w). Factor j(t).
4*t*(t - 2)*(t - 1)*(t + 1)
Let y(a) be the second derivative of -a**6/24 + 3*a**5/16 - 5*a**3/6 - 60*a - 4. Factor y(w).
-5*w*(w - 2)**2*(w + 1)/4
Let x be -11 - -12 - (-1)/(-1). Let h(t) be the first derivative of 3/2*t**3 + x*t - 3 - 1/2*t**2. Let h(y) = 0. Calculate y.
0, 2/9
Let p be (12/33)/(12/66). Let -15*k - 2 + 1 + 2*k**3 + 13*k - 2*k**p + 3 = 0. Calculate k.
-1, 1
Let w(l) = 7*l**4 - 40*l**3 + 105*l**2 - 45*l - 24. Let s(q) = -q**3 - q**2 - q. Let t(o) = 28*s(o) + 4*w(o). Find m such that t(m) = 0.
-2/7, 2, 3
Let z(j) be the first derivative of 12 + 0*j - 2/3*j**3 + 2*j**2. Let z(m) = 0. What is m?
0, 2
Let o = 7691 - 7689. Suppose -25/3 - 1/3*v**o - 10/3*v = 0. What is v?
-5
Let s(d) be the second derivative of 1/15*d**3 + 1/30*d**4 + 0 + 0*d**2 - 6*d. Factor s(w).
2*w*(w + 1)/5
Let g(d) = 22*d**5 + 6*d**4 - 16*d**2 + 16*d + 16. Let h(l) = -4 - 5*l**2 - 11*l + 16*l + 7*l**5 + 8 + 2*l**4 + 1. Let s(n) = 5*g(n) - 16*h(n). Factor s(c).
-2*c**4*(c + 1)
Let y = -3894/5 + 11707/15. Determine b so that -7/3*b**5 + 16/3*b**3 + 0*b - y*b**4 + 0 - 4/3*b**2 = 0.
-2, 0, 2/7, 1
Let 200/3*p + 2/3*p**2 + 5000/3 = 0. Calculate p.
-50
Let j(p) = -p**4 - 3*p**3 + 4*p + 3. Let y(f) = 304*f + f**3 + 1 - 304*f + f**4. Let i(s) = -j(s) + y(s). Suppose i(g) = 0. Calculate g.
-1, 1
Let u be 32/12 + (-2)/(-6). Suppose -4*x**2 + x - 2*x - 6*x**u + 3*x = 0. Calculate x.
-1, 0, 1/3
Let p = -1139 + 1141. Factor 0 - 8/3*a**p + 2/3*a + 2*a**3.
2*a*(a - 1)*(3*a - 1)/3
Let l(h) = 3*h - 1. Let n(y) = 5*y**2 - 118*y + 841. Let v(i) = -4*l(i) + n(i). Suppose v(q) = 0. Calculate q.
13
Let v(t) be the third derivative of -147*t**5/4 + 35*t**4/4 - 5*t**3/6 + t**2 - 193. Factor v(g).
-5*(21*g - 1)**2
Let s = 59 + -20. Factor -s*w + w**2 + w**2 + 41*w.
2*w*(w + 1)
Factor -1078*s**3 + 0 + 124*s**4 - 173*s**2 - 4 + 16*s - 373*s**2 - 98*s + 562*s**4.
2*(s - 2)*(7*s + 1)**3
Let t(k) be the first derivative of -k**5/660 + k**4/44 - 5*k**3/66 - 9*k**2/2 + 23. Let y(z) be the second derivative of t(z). Factor y(x).
-(x - 5)*(x - 1)/11
Let n(s) be the second derivative of s**5/100 - 3*s**4/20 + 9*s**3/10 - 27*s**2/10 - 73*s. Factor n(k).
(k - 3)**3/5
Let m be (-56)/(-13) + ((-13)/(-156) - 98/24). Factor -8/13*t**2 + 10/13*t + 2/13*t**3 - m.
2*(t - 2)*(t - 1)**2/13
Suppose -239 - 22 + 60 = -67*y. Solve -3/2*i**y + 0 + 1/2*i**2 - 1/2*i**4 + 3/2*i = 0 for i.
-3, -1, 0, 1
Let c(u) be the second derivative of 13*u - 2*u**3 + 1/3*u**4 - 8*u**2 + 0. Determine d, given that c(d) = 0.
-1, 4
Let t(j) be the first derivative of 3*j**5/100 - 3*j**3/10 - 3*j**2/5 - 15*j + 11. Let w(q) be the first derivative of t(q). Factor w(k).
3*(k - 2)*(k + 1)**2/5
Let q(b) = b**2 + 12*b - 13. Let l be q(-14). Suppose -4*h = -l*h. Factor h + 3/4*g**3 + 0*g**2 + 0*g.
3*g**3/4
Factor -2/5*g**2 + 18 + 8/5*g.
-2*(g - 9)*(g + 5)/5
What is v in -75/8*v + 9/4*v**4 + 9/2*v**2 - 3/8*v**5 + 39/4*v**3 - 27/4 = 0?
-2, -1, 1, 9
Suppose -1 + 5 = 2*v, -v = 3*t - 8. Factor -10 + i**t - 16*i + 22 - 5*i**2 - 28.
-4*(i + 2)**2
Let k be 1 + 6 + (3 - 3). Let i be (k/(-6))/(54/(-12) - -4). Factor 3*n**2 + 1/3*n**4 + 2/3 + 5/3*n**3 + i*n.
(n + 1)**3*(n + 2)/3
Let c = -192 - -374. Let q = c - 545/3. Factor 1/3*z**2 + 1/3*z**3 - 1/3*z**4 - q*z + 0.
-z*(z - 1)**2*(z + 1)/3
Let y(z) be the first derivative of -z**6/960 + z**4/64 + z**3/24 + 9*z**2 + 6. Let f(c) be the second derivative of y(c). Factor f(d).
-(d - 2)*(d + 1)**2/8
Suppose -12/7 - 4/7*o**4 + 12/7*o**3 - 10/7*o - 2/7*o**5 + 16/7*o**2 = 0. What is o?
-3, -1, 1, 2
Let l(h) = -7*h**4 - 75*h**3 + 234*h**2 - 232*h + 6. Let i(q) = -65*q**4 - 675*q**3 + 2105*q**2 - 2090*q + 55. Let z(w) = 6*i(w) - 55*l(w). Factor z(n).
-5*n*(n - 11)*(n - 2)**2
Let f be -1 + 11 - (2 + -3). Suppose -5*v = 2*x - f, -v + 9 = -0*v - 3*x. Factor -v + 23*k**2 - 10*k - 170*k**2 - 2*k - 30*k.
-3*(7*k + 1)**2
Let n = 14 - 1. Find a, given that 10*a - n + 11 + 17*a**2 - 5*a**2 = 0.
-1, 1/6
Let m = -23 - -31. Determine g, given that 2*g + 4*g**3 - 13*g**3 + g**2 - 1 - g + m*g**3 = 0.
-1, 1
Let b(d) be the first derivative of -d**6/3 + 8*d**5/5 - 3*d**4/2 - 8*d**3/3 + 4*d**2 + 342. Solve b(o) = 0 for o.
-1, 0, 1, 2
Let d(s) = -5*s**2 + 50*s. Let o(m) = -10*m**2 + 100*m. Let r(q) = 7*d(q) - 4*o(q). Factor r(h).
5*h*(h - 10)
Let z(i) be the second derivative of -i**6/6 + 11*i**5/40 + 31*i**4/24 - 5*i**3/3 - 3*i**2 - 10*i + 3. Solve z(b) = 0.
-3/2, -2/5, 1, 2
Suppose 9 = 3*d - 3*y, -5*y = 2*d + 3*d - 55. Let w be 1 - (-3 + d)/(-8). Determine l so that -l**3 + 0 + w*l**2 + l = 0.
-1/2, 0, 2
Suppose 35*i = 33*i + 8. Let t(y) be the third derivative of 0*y + 0*y**3 + 1/120*y**6 + 5*y**2 + 1/105*y**7 + 0*y**i + 1/336*y**8 + 0 + 0*y**5. Factor t(g).
g**3*(g + 1)**2
Suppose 0 = -2*l + 4*f + 8, 4*f - 5 - 15 = -5*l. Solve 30*i**3 + 5*i**2 + 2*i**3 - 10*i + 25*i**l + 8*i**3 = 0.
-1, 0, 2/5
Let r(v) be the first derivative of 13*v**6/6 - 22*v**5/5 - 2*v**4 + 26*v**3/3 - 5*v**2/2 - 4*v - 143. Let r(o) = 0. Calculate o.
-1, -4/13, 1
Let j = -306 - -919/3. Let q(p) be the third derivative of 0*p - 1/12*p**4 + j*p**3 + 0 + 3*p**2 - 1/30*p**5 + 1/60*p**6. Let q(n) = 0. Calculate n.
-1, 1
Let j(g) be the third derivative of g**8/40320 + g**7/2520 + g**6/480 + g**5/5 - 10*g**2. Let i(f) be the third derivative of j(f). Let i(h) = 0. What is h?
-3, -1
Let z(d) = 5*d - 4. Let a be z(7). Suppose o - 3 = -2*g, -3*o - 6 + a = -2*g. Factor -o*q**2 + 3*q - 5*q - 9*q**3 - 5*q**4 + 0*q**4 - q**5.
-q*(q + 1)**3*(q + 2)
What is n in -3/7*n**3 + 0 - 3/7*n**4 + 24/7*n**2 + 36/7*n = 0?
-2, 0, 3
Let w(z) be the second derivative of 3*z**5/100 - 5*z**4/2 + 63*z. Solve w(g) = 0.
0, 50
Let a = 73/558 - -17/186. Find j such that 4/9*j + 2/9 + a*j**2 = 0.
-1
Let b(j) be the first derivative of 25*j**3/9 - 55*j**2/3 + 40*j/3 - 107. Factor b(q).
5*(q - 4)*(5*q - 2)/3
Suppose -271*t - 36 = -289*t. Let v(p) be the first derivative of 0*p**3 + 0*p**t + 2/15*p**5 - 1/3*p**4 + 0*p + 5. Find c such that v(c) = 0.
0, 2
Let p be 4/10*(-1 + 6). Suppose -5*h - 9 = -p*u, -u - 3*h - 2*h = 3. Factor 0*r - 1/3*r**5 + 1/3*r**3 - 1/3*r**4 + 0 + 1/3*r**u.
-r**2*(r - 1)*(r + 1)**2/3
Factor -1250/7 - 100/7*v - 2/7*v**2.
-2*(v + 25)**2/7
Suppose 4*o + 0*w = -4*w - 44, -o + w = 19. Let k be (-2 - -8)*o/(-10). Factor -3*g**2 + k*g**3 - 2*g + 0*g**2 - 3*g - g.
3*g*(g - 1)*(3*g + 2)
Let h(z) = -z. Suppose 1 - 7 = -6*k. Let b(r) = -5*r**2 - 16*r - 20. Let m(l) = k*b(l) + 4*h(l). Factor m(u).
-5*(u + 2)**2
Let d(z) = -15*z**4 + 10*z**3 + 10*z**2 + 10*z - 5. Let a(u) = -u**4 + u**3 + u. Let w = -21 - -22. Let q(t) = w*d(t) - 10*a(t). Factor q(b).
-5*(b - 1)**2*(b + 1)**2
Let d(w) be the second derivative of -3*w**5/5 + 39*w**4/4 - 27*w**3 - 24*w**2 - 4*w + 7. Factor d(y).
-3*(y - 8)*(y - 2)*(4*y + 1)
Let y(m) be the second derivative of 11*m**6/225 - m**5/75 - 77*m**4/90 + 16*m**3/9 - 4*m**2/5 + 2*m + 21. Suppose y(g) = 0. Calculate g.
-3, 2/11, 1, 2
Let m be (215/(-50) - -10) + 3/(-10). Factor -m*k**2 + 3/5 + 24/5*k.
-3*(k - 1)*(9*k + 1)/5
Let f(d) be the first derivative of -5*d**4/4 + 340*d**3/3 + 110. Factor f(x).
-5*x**2*(x - 68)
Let i = 24 - 57. Let f = i + 36. Find h such that -2/7*h**2 - 2/7*h**f + 2/7 + 2/7*h = 0.
-1, 1
Suppose 2*b + 7 = 3*b. Suppose 11 = 4*g - 4*f + f, 0 = -3*g + f + b. Let 0*x**2 + x**2 + 4*x**g + 42*x + 8*x + 125 = 0. What is x?
-5
Let u be (2 - 4) + -4 + 8. Suppose -4*j = -u*j - 6. Factor 2/7*d + 4/21*d**2 + 0 - 2/21*d**j.
-2*d*(d - 3)*(d + 1)/21
Suppose -20 + 50 = 6*w. Let s(o) be the second derivative of 0*o**2 + 0*o**w - 1/48*o**4 - 1/48*o**3 + 3*o + 1/120*o**6 + 0 + 1/336*o**7. Factor s(m).
m*(m - 1)*(m + 1)**3/8
Let k(r) be the second derivative of r**5/40 - r**4/8 - r**3/12 + 3*r**2/4 - 38*r. Factor k(x).
(x - 3)*(x - 1)*(x + 1)/2
Factor 33/8*x**3 - 195/4*x**2 - 375 + 475/2*x - 1/8*x**4.
-(x - 10)**3*(x - 3)/8
Let 25/3*l**3 - 20/3 + 5/3*l**4 - 