0*h**2 - 4/7*h.
2*(h - 1)*(h + 1)**3/7
Let m(i) be the first derivative of -7*i**4/8 - 29*i**3/3 - 65*i**2/4 - 7*i - 229. Factor m(g).
-(g + 1)*(g + 7)*(7*g + 2)/2
Let i = -14878/477 + 278/9. Let n = 526/689 + i. Factor 8/13*f**3 - 4/13*f + n*f**4 - 2/13*f**2 + 0.
2*f*(f + 1)**2*(3*f - 2)/13
Let x(r) be the first derivative of -r**7/168 + r**6/120 + r**5/80 - r**4/48 - 20*r - 16. Let n(h) be the first derivative of x(h). Factor n(b).
-b**2*(b - 1)**2*(b + 1)/4
Suppose 4*a + 14 = -7*h + 5*h, -h + a = -8. Suppose -12 = -5*l + 3. Find p such that -80 + 2*p**3 + p**l + 80 - h*p = 0.
-1, 0, 1
Let x = -313 - -312. Let j(z) = 3*z - 3*z + z. Let s(u) = -u**2. Let b(q) = x*s(q) + 2*j(q). Let b(r) = 0. What is r?
-2, 0
Let p = -7 + 6. Let g(q) = q**2 + 1. Let c be g(p). Find l, given that 3*l**4 - 4*l**4 - l**c + 0*l**4 - 20*l**3 + 18*l**3 = 0.
-1, 0
Let v(m) be the first derivative of m**5/20 + m**4 - 3*m**3/2 - 2*m**2 + 17*m/4 + 182. Factor v(q).
(q - 1)**2*(q + 1)*(q + 17)/4
Let v(l) be the second derivative of l**7/7 - l**6/15 - 6*l**5/5 + 2*l**4/3 - 3*l + 1. Solve v(x) = 0 for x.
-2, 0, 1/3, 2
Let k = 355/3 - 117. Let p = 14 - 12. Factor 2*b**3 + 2/3*b**2 - p*b - k + 2/3*b**4.
2*(b - 1)*(b + 1)**2*(b + 2)/3
Determine j, given that 24*j + 39/2*j**2 - 24*j**3 - 27/2*j**4 - 6 = 0.
-2, -1, 2/9, 1
Suppose 4*k = x + 2*k - 9, 4*k = -2*x + 2. Let t = x + 4. Determine b so that t*b + 4 + 2 - 11*b**2 + 14*b**2 = 0.
-2, -1
Suppose 0 = 92*y - 96*y + 20. Suppose c = 4*k - 11, y*k - 9 = 3*c - 4. Factor 0*g + 0*g**2 - 2/13*g**5 + 4/13*g**k + 0 - 2/13*g**3.
-2*g**3*(g - 1)**2/13
Suppose 1/3*t**2 - 80/3 - 79/3*t = 0. Calculate t.
-1, 80
Determine y, given that -162/5*y**2 - 40 - 1/5*y**4 + 308/5*y + 31/5*y**3 = 0.
2, 25
Let r(c) = -25*c**2 - 198*c + 172. Let s(p) = -9*p**2 - 66*p + 57. Let z(v) = -6*r(v) + 17*s(v). Factor z(y).
-3*(y - 21)*(y - 1)
Suppose -8 = 2*k + 5*o + 13, 3*o = 3*k - 21. Factor 5/3*i + 1/3*i**k + 2.
(i + 2)*(i + 3)/3
Let m = 14 - 12. Suppose 3*c + m*c = -20, 4*k - 8 = -c. Factor -3*x**2 - 6*x**2 + 5*x + x + k*x**3.
3*x*(x - 2)*(x - 1)
Let y(v) be the first derivative of 2/3*v**3 + 4*v**2 + 8*v + 41. Solve y(m) = 0.
-2
Let i(u) be the third derivative of u**6/600 + u**5/100 + u**4/60 - 32*u**2. Factor i(x).
x*(x + 1)*(x + 2)/5
Let l(k) = -k**2 + 5*k - 3. Let a be l(2). Let c be 4 + -7 - (-11)/a. Factor 0*s - 1/3*s**2 - 1/3*s**4 + 0 + c*s**3.
-s**2*(s - 1)**2/3
Let t(w) be the second derivative of w**7/84 - w**6/20 - w**5/4 - w**4/12 + 3*w**3/4 + 5*w**2/4 - 24*w. Factor t(o).
(o - 5)*(o - 1)*(o + 1)**3/2
Let f be -12 + (-672)/(-32) - 9/1. Factor 2/5*u**3 - 3/5*u**4 + f*u**2 + 1/5*u**5 + 0 + 0*u.
u**3*(u - 2)*(u - 1)/5
Let t = 2819/11997 + -17/1333. Determine f, given that 4/9 + t*f**3 - 2/3*f + 0*f**2 = 0.
-2, 1
Let b(z) = 2*z**2 - 7*z. Let t be b(9). Let y be t/36 + 1/4. Let 6*q - y + 0*q**2 - 5*q**2 + 2*q**2 = 0. What is q?
1
Let l(u) = -4*u**2 - 1208*u + 90004. Let a(x) = 10*x**2 + 2418*x - 180009. Let i(k) = -4*a(k) - 9*l(k). Factor i(q).
-4*(q - 150)**2
Let i(p) be the second derivative of p**4/24 - 2*p**3/3 + 4*p**2 - 86*p. Factor i(a).
(a - 4)**2/2
Let y be 2/(-3)*(-15)/(-20)*-4. Let c be (y/21)/(-1 - 8/(-6)). Determine z so that 2/7*z**2 - c + 0*z = 0.
-1, 1
Factor 2605 - 11*i**2 - 2445 + 6*i**2 - 11*i + 81*i.
-5*(i - 16)*(i + 2)
Let l(y) be the first derivative of -3*y**5/35 + 33*y**4/28 - 31*y**3/7 + 9*y**2/2 - 274. Factor l(r).
-3*r*(r - 7)*(r - 3)*(r - 1)/7
Suppose -3*m + 4*m = 14. Suppose 8 + m = f. What is z in z**4 + 2*z**4 + 4 + 30*z**2 + f*z**3 + 2*z**4 + z**4 + 18*z = 0?
-1, -2/3
Let n(b) = 2*b**5 + b**4 + b**2 + 1. Let h(q) = -20*q**5 - 8*q**4 + 68*q**3 - 152*q**2 + 80*q - 8. Let c(y) = -h(y) - 8*n(y). Find i, given that c(i) = 0.
-5, 0, 1, 2
Let s(u) be the second derivative of 11*u + 0 - 5/12*u**4 - 15/2*u**2 - 10/3*u**3. Find o, given that s(o) = 0.
-3, -1
Let x be (-99)/22*(-1 - (-7)/21). Factor -3*p + 9/7 - x*p**2 + 9/7*p**3.
3*(p - 3)*(p + 1)*(3*p - 1)/7
Suppose 2*w = -3*o + 7, 0 = -4*o + 2*o + 3*w - 17. Let a = o - -3. Solve 5*m**4 - 12*m**3 - 13*m**4 + 4*m**2 - 12*m**2 - a*m**5 - 2*m = 0.
-1, 0
Let l = 1950838/4455 - -262/405. Let b = -438 + l. Solve 2/11*s**3 - 2/11*s + 4/11 + 2/11*s**4 - b*s**2 = 0.
-2, -1, 1
Suppose p**2 - 2/3*p - 1/3*p**3 + 0 = 0. What is p?
0, 1, 2
Let x(c) be the third derivative of c**6/180 - 4*c**5/45 + 7*c**4/36 + 16*c**2 + 2*c. Solve x(y) = 0 for y.
0, 1, 7
Let k(z) be the first derivative of 2*z**3/27 + 17*z**2/9 + 20*z/3 + 216. Factor k(y).
2*(y + 2)*(y + 15)/9
Let i(j) = 18*j**2 + 54*j + 56. Let q(c) = -21*c**2 - 54*c - 57. Let a(n) = 6*i(n) + 5*q(n). Factor a(w).
3*(w + 1)*(w + 17)
Let v be 3/1 - -2 - 3. Let p be 2/7*(v + 5). Determine q, given that 0 - 1/2*q**p - q = 0.
-2, 0
Let 7/5*p**2 - p**3 - 1/5*p**5 + 0 + 6/5*p - 7/5*p**4 = 0. Calculate p.
-6, -1, 0, 1
Let q be (6 - 92/(-18)*-3) + 12. Factor -2*a - 1/3*a**2 - q.
-(a + 2)*(a + 4)/3
Let v(g) be the first derivative of -3*g**3 + 51*g**2/10 - 6*g/5 - 115. Factor v(i).
-3*(i - 1)*(15*i - 2)/5
Let c(u) be the third derivative of -u**5/15 - 5*u**4/3 + 60*u**2. Find h such that c(h) = 0.
-10, 0
Let y(g) be the first derivative of -g**4/2 - 20*g**3 - 225*g**2 - 543. Factor y(x).
-2*x*(x + 15)**2
Let l = 418/2853 + 24/317. Find a, given that -4/9*a**2 - 2/9*a**3 + 0 - l*a = 0.
-1, 0
Let a(f) be the second derivative of 23/9*f**3 + 0 + 16*f - 14/3*f**2 - 1/6*f**4. Find c such that a(c) = 0.
2/3, 7
Let t(z) be the first derivative of z**6/1980 + z**5/132 + z**4/33 + z**3 + 8. Let a(l) be the third derivative of t(l). Find r such that a(r) = 0.
-4, -1
Let b(y) be the first derivative of 4*y**3/3 + 34*y**2 + 64*y - 433. Determine d so that b(d) = 0.
-16, -1
Let t(f) be the second derivative of 0 + 1/80*f**5 - 1/48*f**3 - 1/336*f**7 + 3*f + 1/48*f**4 - 1/240*f**6 - 1/16*f**2. Factor t(u).
-(u - 1)**2*(u + 1)**3/8
Factor 0*o + 18/19 - 2/19*o**2.
-2*(o - 3)*(o + 3)/19
Let t(v) = -4*v - 92. Let j be t(4). Let s be ((-2)/16*-5)/(j/(-432)). Factor s*b + 0 - 5/2*b**2.
-5*b*(b - 1)/2
Let f(i) = 8*i**3 - 30*i**2 - 28*i + 5. Let l(m) = 7*m**3 - 30*m**2 - 29*m + 4. Let z(p) = -4*f(p) + 5*l(p). Let z(n) = 0. Calculate n.
-1, 0, 11
Let l(g) = 14*g + 296. Let w be l(-21). Let a(o) = -o**2 + 6*o + 3. Let i be a(6). Factor 6/5*q**w + 6/5*q - 4/5 - 4/5*q**i.
-2*(q - 2)*(q + 1)*(2*q - 1)/5
Let y = -419 - -429. Let v(n) be the second derivative of -y*n + 0 - 4/9*n**3 + 1/36*n**4 + 8/3*n**2. Let v(w) = 0. Calculate w.
4
Let h(q) be the first derivative of -4*q**5/35 + 4*q**3/3 + 12*q**2/7 - 77. Solve h(m) = 0.
-2, -1, 0, 3
Suppose 3*a = 9, a = 4*k - 0*a - 21. Let b be k/10 + 7/5. Find w such that w**2 - 2 - 4*w - 3*w**2 - 2*w**2 + 2*w**b = 0.
-1
Suppose -j + 17 = -0*j - 5*d, 4*j = -5*d + 18. Suppose 2*q - 2*v + j*v = -14, v = 2*q - 10. Factor -g**q + g**5 - g**2 + g**4 - 2*g + 4*g - 2*g.
g**2*(g - 1)*(g + 1)**2
Let x(f) = 5*f**2 + 11*f. Let h = -5 + -1. Let c(j) = -2*j**2 - 5*j. Suppose -t = 4*t + 70. Let u(m) = h*x(m) + t*c(m). Factor u(a).
-2*a*(a - 2)
Let l be ((-1141)/(-105) + -3 - 8) + (-96)/(-45). Solve -4/5*o + 16/5 + 26/5*o**4 + 6/5*o**5 - 2/5*o**3 - 42/5*o**l = 0.
-4, -1, 2/3, 1
Let c = -140 - -224. Let q = c - 333/4. Suppose -3 + 0*s**3 + 0*s + 15/4*s**2 - q*s**4 = 0. What is s?
-2, -1, 1, 2
Determine n so that n**4 + 144*n + n**4 + 52*n**3 + 256*n**2 + 2*n**4 - 64*n**2 = 0.
-6, -1, 0
Let m(w) = 19*w - 833. Let i be m(44). Suppose 0*u**2 + 0 + 12/7*u**i - 4/7*u**5 + 0*u + 8/7*u**4 = 0. Calculate u.
-1, 0, 3
Let o(n) = -2*n**2 - 900*n - 922. Let y(i) = -3*i**2 - 896*i - 921. Let g(z) = -7*o(z) + 6*y(z). Suppose g(t) = 0. What is t?
-1, 232
Let s(v) be the second derivative of 0*v**5 - 1/40*v**4 - 23*v + 0*v**2 - 1/30*v**3 + 1/300*v**6 + 0. Factor s(i).
i*(i - 2)*(i + 1)**2/10
Factor 1/4*t**3 + 0*t**2 + 1/8*t**4 - 1/8*t**5 + 0*t + 0.
-t**3*(t - 2)*(t + 1)/8
Suppose -4*i + 9 = -4*q + 3*q, 0 = -5*q - 5*i + 30. Let l(j) be the first derivative of -1/6*j**2 - 2 + 0*j + 1/3*j**4 + 1/3*j**q. Factor l(m).
m*(m + 1)*(4*m - 1)/3
Let p(a) = 2*a**3 + 4*a**2 + 2*a - 2. Let w(i) = -4*i**3 - 8*i**2 - 5*i + 5. Let d(b) = -5*p(b) - 2*w(b). Factor d(s).
-2*s**2*(s + 2)
Factor -399/2*o**2 + 20*o**3 + 200 - 20*o - 1/2*o**4.
-(o - 20)**2*(o - 1)*(o + 1)/2
Let z = 102 + -9