f - 1)**2*(f + 2)/3
Suppose -135*m + 47*m + 0 = -0. Factor m - 2/3*h**3 - 4*h**2 + 14/3*h.
-2*h*(h - 1)*(h + 7)/3
Suppose 60*t**4 + 8380*t**2 - 400*t + 5*t**5 + 201*t**3 + 14*t**3 - 8260*t**2 = 0. What is t?
-5, -4, 0, 1
Let y(t) = 17*t**2 - 41*t + 132. Let n be y(25). Factor 3*p**3 + 30*p**2 + 9732 - 33*p - n.
3*p*(p - 1)*(p + 11)
Let q(b) be the third derivative of -1/20*b**7 + 0*b + 49/40*b**5 + 7/2*b**4 + 0 - 1/40*b**6 + 3*b**3 - 13*b**2. Find t, given that q(t) = 0.
-2, -1, -2/7, 3
Suppose -690*c + 1034 + 346 = 0. Factor 3/8*j**3 - 3/8*j - 3/4 + 3/4*j**c.
3*(j - 1)*(j + 1)*(j + 2)/8
Suppose -y = 6*y - 35. Suppose 0 = -y*g - 61 + 71. Factor -16/9 + 52/9*x + 14/9*x**g.
2*(x + 4)*(7*x - 2)/9
Let g(o) be the first derivative of -2240*o**5 + 3880*o**4 - 1556*o**3 + 178*o**2 - 8*o + 2236. Find k, given that g(k) = 0.
1/20, 2/7, 1
Let c = -3634173/7 + 519168. Factor -c*w + 6/7*w**2 + 0.
3*w*(2*w - 1)/7
Let q(o) = o**3 - o**2 - o - 2. Let n be q(0). Let l be 3*14/n*5/(-15). Factor -254*i**3 - l - 12*i**2 - 22*i - 5 + 252*i**3.
-2*(i + 1)*(i + 2)*(i + 3)
Factor 681/7*v**4 + 0 + 0*v - 171/7*v**3 + 0*v**2 + 12/7*v**5.
3*v**3*(v + 57)*(4*v - 1)/7
Determine a so that 400/11*a + 20000/11 + 2/11*a**2 = 0.
-100
Let y(b) be the first derivative of 5*b**3/3 + 80*b**2 - 3716. Factor y(h).
5*h*(h + 32)
Let h = 161 + 289. Let l be h/80 - (-3)/8. Find n, given that 4*n**2 - 8*n**3 + 4 + 2*n**5 + 12*n**4 - 20*n**2 + l*n**5 = 0.
-1, 1/2, 1
Let a(p) = -3*p**4 - 9*p**3 + 8*p**2 + 4*p - 32. Let z(k) = -k**4 + k - 8. Let d(q) = -a(q) + 4*z(q). Factor d(f).
-f**2*(f - 8)*(f - 1)
Suppose 2*d + 12*l - 10*l = 0, 22 = 6*d - 5*l. Let c(y) be the first derivative of -5/2*y**d - 4*y + 8 - 1/3*y**3. Factor c(j).
-(j + 1)*(j + 4)
Let t(c) be the second derivative of c**4/36 - 182*c**3/9 - 122*c**2 + 6920*c. Find u such that t(u) = 0.
-2, 366
Factor 209/3*f**3 + 0 + 0*f - 484/3*f**2 + 1/3*f**5 - 26/3*f**4.
f**2*(f - 11)**2*(f - 4)/3
Let u(q) be the first derivative of -q**4/2 + 32*q**3/3 - 41*q**2 + 52*q + 82. Factor u(s).
-2*(s - 13)*(s - 2)*(s - 1)
Suppose 2*g + 3*m - 17 = 0, -5*m = 4*g - 7*m - 10. Let h(r) be the first derivative of 2*r**2 - 10/9*r**3 - 2/3*r - g. Factor h(v).
-2*(v - 1)*(5*v - 1)/3
Let b(k) = -48*k**2 + 321*k + 336. Let s(n) = 3*n**2 - 20*n - 21. Suppose -2 + 4 = -r. Let j(l) = r*b(l) - 33*s(l). Factor j(c).
-3*(c - 7)*(c + 1)
Let -3/4*g**2 + 6*g + 231 = 0. What is g?
-14, 22
Let h(b) be the first derivative of b**5/25 + 7*b**4/5 + 52*b**3/15 + 1248. Factor h(t).
t**2*(t + 2)*(t + 26)/5
Let q(s) be the first derivative of 2*s**3/3 + 39*s**2/7 + 108*s/7 - 1516. Factor q(a).
2*(a + 3)*(7*a + 18)/7
Factor 736/7*h + 732/7 + 4/7*h**2.
4*(h + 1)*(h + 183)/7
Let b = -8923/36 + -23/36. Let y = -247 - b. Factor 3/2*s - 3*s**3 + 3/2*s**5 + 3*s**2 - 3/2*s**4 - y.
3*(s - 1)**3*(s + 1)**2/2
Let p(x) be the second derivative of 1/12*x**3 + 0*x**5 - 1/84*x**7 + 1/30*x**6 - 1/12*x**4 + 0*x**2 + 34*x + 0. Factor p(q).
-q*(q - 1)**3*(q + 1)/2
Let n be ((-35)/(-21))/1*((-684)/(-266))/(8/42). Factor -5/2*k**3 - n*k**2 - 15*k + 40.
-5*(k - 1)*(k + 2)*(k + 8)/2
Let w be 39/60*((-448)/(-168) + 4). Factor 5/3*k**3 + 2/3*k**2 + 2 - w*k.
(k - 1)*(k + 2)*(5*k - 3)/3
Suppose -3*v + 5*v - 4 = 0. Let k = 5/18 + 1/18. Factor -1/3*g**4 + 0*g**3 + 0 + k*g**v + 0*g.
-g**2*(g - 1)*(g + 1)/3
Suppose -576*p + 570*p + 42 = 0. Find w such that -p*w**3 + 12*w**3 + 73*w**2 - 88*w**2 - 50*w = 0.
-2, 0, 5
Let u(v) be the third derivative of 0 - 9/80*v**5 - 47*v**2 - 1/480*v**6 + 49/6*v**3 + 0*v - 7/4*v**4. Factor u(y).
-(y - 1)*(y + 14)**2/4
Let s(o) be the third derivative of o**7/2100 + o**6/180 + 2*o**5/75 + o**4/15 + o**3/6 + o**2 - 3. Let j(l) be the first derivative of s(l). Solve j(y) = 0.
-2, -1
Let c be (65/10 - 1)*2. Suppose c*j = 4*j + 14. Factor 2*h**j - 6*h**3 + 3*h**3 + 2*h**4 + h**3 + 2*h - 4*h**2.
2*h*(h - 1)**2*(h + 1)
Suppose -5*w + 4*o = -30, 0*w - 3*w + 18 = -o. Let r be (12/w)/((-2)/(-16 + 0)). Factor -r + 0*z - 5*z**2 - 9 + 30*z.
-5*(z - 5)*(z - 1)
Suppose -7*r + 56 + 28 = 0. Suppose 3*f + c = 7*f - r, -2*f + 3*c = -16. Let -126*p**f + 3*p + 3*p**5 - 6*p**3 + 126*p**2 = 0. Calculate p.
-1, 0, 1
Let f(r) = -r**2 - 14*r - 11. Let v be f(-13). Suppose -v*k = -13 + 3. Factor -k*c**2 - 30 - 17*c + 5 - 2*c - 11*c.
-5*(c + 1)*(c + 5)
Factor -h**4 + 79*h**3 + 2*h**5 - 4*h**5 + 1005*h**2 + 900*h + 3*h**5 - 24*h**4.
h*(h - 15)**2*(h + 1)*(h + 4)
Let h(p) be the first derivative of p**5 + 90*p**4 - 370*p**3/3 - 180*p**2 + 365*p - 3533. Factor h(w).
5*(w - 1)**2*(w + 1)*(w + 73)
Let x be 1*9/(-12)*(-9 - 287/(-35)). Let o(a) be the second derivative of 0 - 22*a - 9/100*a**5 + 12/5*a**2 + x*a**3 - 11/20*a**4. Find r such that o(r) = 0.
-4, -2/3, 1
Suppose -10*u - 25 = -5*u + 4*a, 0*a - 20 = 2*a. Suppose -1/3*s**3 + 4/3 - u*s + 2*s**2 = 0. What is s?
1, 4
Let u(w) be the first derivative of -9/2*w**4 - 39 - 3/5*w**5 + 0*w**2 - 5*w**3 + 0*w. Factor u(l).
-3*l**2*(l + 1)*(l + 5)
Let a = -108 + 111. Determine s, given that -7*s**a - 462*s - 12 + 316*s - 121*s**2 - 20 = 0.
-16, -1, -2/7
Let f(o) be the first derivative of -4*o**5/5 + 17*o**4 + 4*o**3 - 106*o**2 + 136*o + 1234. Factor f(w).
-4*(w - 17)*(w - 1)**2*(w + 2)
Let k(m) = 5*m - 2. Let o be k(1). Find j, given that -4 - 18*j + 10*j**2 + 4*j**o - 6*j**2 + 14*j = 0.
-1, 1
Let c be (23 - 21) + 4/(-6). Let v = 17/43 - -121/129. Find f, given that 2/3*f - 2/3*f**3 - v + c*f**2 = 0.
-1, 1, 2
Let w(j) be the third derivative of j**5/20 - 47*j**4/4 + 93*j**3/2 + 2611*j**2 - j. Determine q, given that w(q) = 0.
1, 93
Solve -1357952/3*n + 0 - 3296/3*n**2 - 2/3*n**3 = 0.
-824, 0
Let a(k) = 2*k**3 + 4*k**2 - 4*k - 4. Let x(l) = -1 - 2 - l**3 + 3822*l**2 - l + l**4 + 3 - 3823*l**2. Let j(v) = 3*a(v) - 3*x(v). Let j(z) = 0. What is z?
-1, 1, 4
Factor -8476/3*k + 2/3*k**2 + 8980322/3.
2*(k - 2119)**2/3
Solve 3149*o + 5*o**2 - 696*o - 32881 + 1017*o + 450436 + 184490 = 0 for o.
-347
Let f(d) be the third derivative of d**8/504 - d**7/63 - 14*d**6/45 + 2*d**5/3 - 12390*d**2. Determine x so that f(x) = 0.
-6, 0, 1, 10
Let m(j) = j**3 - 5*j**2 + 3*j + 6. Let y(k) = 10*k + 74. Let h be y(-7). Let p be m(h). Determine w so that -36 + 4*w**p - 12*w + 4*w + 40 = 0.
1
Let r(x) be the third derivative of 0 - 1/8*x**4 - 10*x + 1/360*x**6 - 3*x**2 + 1/60*x**5 + 5/18*x**3. Factor r(u).
(u - 1)**2*(u + 5)/3
Let k(a) be the third derivative of -a**8/252 - 8*a**7/105 - 17*a**6/45 - 4*a**5/15 + 35*a**4/18 + 16*a**3/3 + 1282*a**2. What is m in k(m) = 0?
-8, -3, -1, 1
Let w = 496185/26 + -19084. Let y(l) be the first derivative of 4/39*l**3 - 16/13*l - 4/13*l**2 + w*l**4 + 25. Factor y(f).
2*(f - 2)*(f + 2)**2/13
Find w, given that 3024 + 3/7*w**2 - 72*w = 0.
84
Let v be (2/6)/(1474/2412). Let x(k) be the first derivative of -10/11*k - 2/33*k**3 + 14 - v*k**2. Factor x(z).
-2*(z + 1)*(z + 5)/11
What is j in -3002*j + 771*j - 4050 - 530*j + 470*j**2 - 1568*j**2 - 2099*j + 216*j**3 - 8*j**4 = 0?
-3/2, 15
Let o(b) be the second derivative of b**6/30 + 3*b**5/4 - 23*b**4/3 + 26*b**3 - 40*b**2 - 462*b. Determine u so that o(u) = 0.
-20, 1, 2
Let g(l) be the third derivative of l**8/336 + l**7/14 + 67*l**6/120 + 43*l**5/20 + 14*l**4/3 + 6*l**3 + 579*l**2. Solve g(f) = 0 for f.
-9, -2, -1
Let l(o) be the first derivative of -3*o**5/20 + 3*o**3/4 + 3*o**2/4 - 569. Factor l(i).
-3*i*(i - 2)*(i + 1)**2/4
Suppose 0 = 50*l - 22*l - 112. Let w be (18/(-15))/((-6)/20). Factor -72*i**3 + 8*i**2 - w*i**2 + 12*i**l + 4*i**5 + 84*i**3.
4*i**2*(i + 1)**3
Suppose 2*v = -2*p + 358, 6*p = -2*v + p + 367. Suppose -9*b = -8 - 37. Factor v*q**2 - 5*q**4 - 5*q**b + q**3 + 4*q**3 - 171*q**2.
-5*q**2*(q - 1)*(q + 1)**2
Let a = 6425 - 32121/5. Factor -4*x + 0 + a*x**3 + 16/5*x**2.
4*x*(x - 1)*(x + 5)/5
Let a be 46/15 - 1/(40/16). Let h(w) be the first derivative of a*w - 2 + 18*w**3 + 12*w**2. Factor h(r).
2*(9*r + 2)**2/3
Suppose -33*o**3 + 321*o**3 + 3*o**4 + 6627 + 5968*o + 7568*o + 7194*o**2 = 0. What is o?
-47, -1
Let j(p) be the first derivative of p**3/9 - 373*p**2/3 + 139129*p/3 - 615. Find s, given that j(s) = 0.
373
Let j(b) be the first derivative of b**6/90 - b**5/30 - b**4/3 - 37*b**3 + 44. Let k(n) be the third derivative of j(n). Suppose k(h) = 0. What is h?
-1, 2
Find v such tha