, 1, 6, 7
Let z be 42120/6237 + (-120)/55. Factor z + 4/7*h**3 + 8*h + 4*h**2.
4*(h + 1)*(h + 2)*(h + 4)/7
Suppose 37*v - 12*v = 38*v. Let w(z) be the first derivative of v*z**3 - 5 + 0*z**2 + 0*z - 1/5*z**5 + 1/4*z**4. Find m, given that w(m) = 0.
0, 1
Suppose 0 = -3*r + 3*b + 9, 3*r - r = 5*b + 6. Determine k so that -6*k**3 - k**5 - k**4 + 6*k**4 + 3*k**2 + r*k**3 - 4*k**3 = 0.
0, 1, 3
Let u be ((-1044)/(-192)*-4)/(1/(-4)). Suppose 36 - 27*d**3 - 105*d - 2*d**4 + 9*d**4 + 2*d**2 + 10*d**2 - 10*d**4 + u*d**2 = 0. What is d?
-12, 1
Let x = -11575/4 + 5121/4. Let w = -1613 - x. Factor -7/2 - w*p**2 - 4*p.
-(p + 1)*(p + 7)/2
What is t in 3/4*t**2 + 825/2*t + 226875/4 = 0?
-275
What is x in 62/11*x**2 + 0 - 60/11*x - 2/11*x**3 = 0?
0, 1, 30
Let b = 12 + -24. Let c be (-11)/(-3) + b/18. Factor -4*q - 3/2*q**2 - 2 + q**c + 1/2*q**4.
(q - 2)*(q + 1)**2*(q + 2)/2
Let m(g) = -34*g**5 + 13*g**4 - 15*g**3 + 15*g**2 - 7. Let k(a) = 5*a**5 - a**4 - a**2 + 1. Let o(b) = 28*k(b) + 4*m(b). Suppose o(y) = 0. What is y?
-8, 0, 1
Let a(h) = -h**3 + 25*h**2 - 71*h + 61. Let z be a(21). Solve -36*x**2 - 3*x**3 - x**3 + z - 60*x - 362 = 0 for x.
-7, -1
Let b = 640689 + -1922065/3. Find n such that -70/3*n**2 - b*n**4 - 8*n**3 + 24 + 8*n = 0.
-6, -1, 1
Let b(c) be the second derivative of -c**5/100 + c**4/20 + 2*c**3/15 - 35*c - 36. Determine d so that b(d) = 0.
-1, 0, 4
Let v = -273029 + 1092117/4. Let 1/2*m**2 - 5/2*m**3 - v + 5/4*m**5 - 1/4*m**4 + 5/4*m = 0. Calculate m.
-1, 1/5, 1
Let c be ((-3 - -9) + -2)*((-6075)/108)/(-75). Let -40*j**c + 1/2 - 32*j**4 + 5/2*j - 6*j**2 = 0. What is j?
-1, -1/4, 1/4
Let x = 27669 + -27667. Factor -2/3*d**x + 0*d - 2/3*d**3 + 0.
-2*d**2*(d + 1)/3
Suppose -63*s + 13 = -62*s. Let o(y) be the third derivative of -1/96*y**4 + s*y**2 + 0*y + 1/12*y**3 - 1/240*y**5 + 0. Factor o(f).
-(f - 1)*(f + 2)/4
Let y(l) = -101*l - 1914. Let i be y(-19). Let b(m) be the first derivative of 1/14*m**4 + 0*m**3 - 6 + 0*m - 2/35*m**i + 0*m**2. Suppose b(a) = 0. Calculate a.
0, 1
Let z(p) be the first derivative of -p**4/3 + 80*p**3/9 - 32*p**2 - 768*p + 909. Factor z(i).
-4*(i - 12)**2*(i + 4)/3
Let m = 2/19803 + 217823/99015. Factor m*o**3 + 3/5 + 2/5*o**4 + 19/5*o**2 + 13/5*o.
(o + 1)**2*(o + 3)*(2*o + 1)/5
Factor -145/6*p**2 - 125/2 - 515/6*p - 5/6*p**3.
-5*(p + 1)*(p + 3)*(p + 25)/6
Let p(x) be the third derivative of -5*x**8/1344 + x**6/32 - x**5/24 - 1422*x**2. Let p(m) = 0. Calculate m.
-2, 0, 1
Find b such that 0 - 3*b**4 + 63/4*b**3 - 60*b + 48*b**2 - 3/4*b**5 = 0.
-5, -4, 0, 1, 4
Suppose -5*r + 45 = -4*v, -v = -2*r - 0*v + 15. Suppose 0*p**4 - 6 - 5*p**4 + r*p**3 + 6 + 10*p**2 = 0. What is p?
-1, 0, 2
Let v(p) = -10*p - 10 - 22*p**2 - 16*p**2 + 0 + 46 + 25*p**2. Let c(j) = 37*j**2 + 30*j - 109. Let t(n) = 4*c(n) + 11*v(n). Factor t(s).
5*(s - 2)*(s + 4)
Let t be 9486/(-255) + 49 - 1/((-1)/(-4)). Determine j so that 108/5 + t*j + 3/5*j**2 = 0.
-9, -4
Let b(n) be the third derivative of n**5/120 - 11*n**4/12 + 41*n**3/4 + 2*n**2 - 500*n. Find l such that b(l) = 0.
3, 41
Let o = -135957/20 - -27193/4. Factor 4/5*b + 18/5*b**3 + 0 + 2*b**4 + o*b**5 + 14/5*b**2.
2*b*(b + 1)**3*(b + 2)/5
Let d(n) be the third derivative of 1/24*n**6 + 191*n**2 - 2*n + 5/3*n**5 - 605/3*n**3 + 0 + 385/24*n**4. Let d(l) = 0. Calculate l.
-11, 2
Suppose 0 = -3*r - 3, -4*l + 4*r - 9*r = -15. Suppose l*g - 10*g = -5. Factor 29 + 86*s + 5*s**3 - 31*s + 30*s**2 + g.
5*(s + 1)*(s + 2)*(s + 3)
Let k(r) be the second derivative of -3*r**5/20 - 7*r**4/2 - 13*r**3/2 - 3705*r. Factor k(a).
-3*a*(a + 1)*(a + 13)
Solve 5*f**2 + 59 - 138 + 20*f + 46 + 48 = 0.
-3, -1
Let s(z) be the first derivative of z**5/60 - z**4/3 + 7*z**3/6 - 5*z**2/3 + 13*z/12 - 431. Determine i so that s(i) = 0.
1, 13
Let x(f) be the first derivative of 2*f**3/21 + 278*f**2/7 + 554*f/7 + 2340. Factor x(u).
2*(u + 1)*(u + 277)/7
Let b(r) be the second derivative of -r**4/12 + 113*r**3/15 - 9*r**2/2 + 2*r - 1. Solve b(u) = 0 for u.
1/5, 45
Let c(f) be the second derivative of f**8/30240 - 19*f**7/11340 + f**6/180 + 9*f**4/2 - 157*f. Let n(d) be the third derivative of c(d). Factor n(q).
2*q*(q - 18)*(q - 1)/9
Let t be (-3)/12 + (-3230)/(-12312). Let s = t + 151/891. Factor 0*w - s*w**2 + 0 - 6/11*w**3 - 2/11*w**5 - 6/11*w**4.
-2*w**2*(w + 1)**3/11
Suppose -30*i + 64 = -72 + 136. Let m(b) be the third derivative of 0*b + i + 0*b**4 - b**2 - 1/70*b**5 + 1/7*b**3. Factor m(r).
-6*(r - 1)*(r + 1)/7
Let g(i) be the first derivative of 64 - 55/7*i**2 - 36/7*i**3 + 0*i + 1/14*i**4. Factor g(m).
2*m*(m - 55)*(m + 1)/7
Suppose -238*s - 22 + 175 = -323. Suppose -9/5*j**s + 5 - 3*j - 1/5*j**3 = 0. Calculate j.
-5, 1
Factor 196/5*g**2 - 2/5*g**3 + 1458/5*g + 252.
-2*(g - 105)*(g + 1)*(g + 6)/5
Let t(r) be the second derivative of r**6/315 + 67*r**5/35 + 39997*r**4/126 - 27068*r**3/21 + 40804*r**2/21 - 387*r. Find v, given that t(v) = 0.
-202, 1
Let a(h) = -h**3 - 2*h**2 + 33*h - 14. Let z be a(-7). Let c be (266/1197)/(z + (-2)/(-18)). Factor -9*q + 3/2*q**c + 27/2.
3*(q - 3)**2/2
Let h = 1043402/9 - 115896. What is x in -286/9*x + h - 2/9*x**3 - 50/9*x**2 = 0?
-13, 1
Suppose -19 = -5*g + 3*k - 4, 3*k = -g - 15. Suppose g = -12*t + 5*t + 553. Factor t + 3*f**2 + 72 - 43 - 36*f.
3*(f - 6)**2
Let v be 340/(-1105) + (-1226354)/(-91806). Let s = 13/321 + v. Factor 54/11*l**2 + s*l + 6/11*l**3 + 96/11.
6*(l + 1)*(l + 4)**2/11
Let q(t) = 6*t**3 - 248*t**2 + 242*t + 2. Let y(a) = -25*a**3 + 994*a**2 - 969*a - 9. Let g(v) = -9*q(v) - 2*y(v). Factor g(l).
-4*l*(l - 60)*(l - 1)
Let i(g) be the second derivative of -g**6/1080 + 5*g**3/2 + 65*g. Let t(u) be the second derivative of i(u). Factor t(p).
-p**2/3
Let m = -58 - -117. Factor 6*t**3 + 4 - 57*t**2 + m*t**2 - 9*t + t**5 - 6*t**4 + 2*t**3.
(t - 4)*(t - 1)**3*(t + 1)
Suppose -196*a - 90*a = 64*a. Factor 4/5*n**3 + a - 8/5*n**2 + 0*n.
4*n**2*(n - 2)/5
Let l(m) be the first derivative of m**7/280 + m**6/8 + 6*m**5/5 - 8*m**4 - 6*m**3 + m**2/2 + 122. Let h(c) be the third derivative of l(c). Factor h(r).
3*(r - 1)*(r + 8)**2
Let k = -1753 + 35061/20. Let z(c) be the third derivative of 0*c + 7/4*c**4 + k*c**5 + 27*c**2 + 0 + 49/2*c**3. Factor z(d).
3*(d + 7)**2
Let x(i) = i**2 + 16*i + 64. Let f be x(-6). What is m in 60*m + 119*m**2 + 14*m**4 + 66*m**3 + 18*m**3 + 6*m**f - 3*m**2 + 8 + 0 = 0?
-2, -1, -1/5
Solve 66/7 - 4*i**3 - 2/7*i**4 + 4*i - 64/7*i**2 = 0.
-11, -3, -1, 1
Let a(x) be the second derivative of -8*x + 415/6*x**4 + 310/3*x**3 + 5/4*x**5 - 25/6*x**6 - 2 + 60*x**2. Let a(c) = 0. Calculate c.
-2, -2/5, 3
Let a(i) be the first derivative of -i**6/33 + 314*i**5/55 - 4891*i**4/22 - 196330*i**3/33 - 533200*i**2/11 - 1849000*i/11 + 1570. Find o such that a(o) = 0.
-5, 86
Let o(m) be the third derivative of 1/240*m**6 + 0*m**5 + 1/840*m**7 - 93*m**2 - 1/24*m**3 + 0 + 0*m - 1/48*m**4. Determine q, given that o(q) = 0.
-1, 1
Suppose 0 = -3*h + 8*q - 11*q + 1359, -q + 910 = 2*h. Let u = h - 2281/5. Factor -12/5*z + u*z**2 + 0.
4*z*(z - 3)/5
Let 80/3 - 3375*r**4 + 43180/3*r**2 + 1220*r + 9825*r**3 = 0. What is r?
-1, -2/45, 4
Let a(h) be the third derivative of 0*h + 8/5*h**3 + 1/200*h**6 + 9/100*h**5 + 36*h**2 + 3/5*h**4 + 0. Factor a(o).
3*(o + 1)*(o + 4)**2/5
Let f be 12/(-9) - (-303773)/14028 - 1/(-4). Let f*x**2 + 2/7*x**4 + 160/7 + 32/7*x**3 + 256/7*x = 0. Calculate x.
-10, -2
Let r(w) = -w**2 - w - 1. Let p(i) = -8*i**2 - 17633*i - 15540848. Let q(v) = -p(v) + 3*r(v). Factor q(x).
5*(x + 1763)**2
Let i(o) be the first derivative of -o**4 + 88*o**3/3 - 274*o**2 + 1040*o - 2733. Factor i(s).
-4*(s - 13)*(s - 5)*(s - 4)
Let x(z) be the first derivative of z**4/2 - 304*z**3/3 - 311*z**2 + 924*z - 937. Determine m, given that x(m) = 0.
-3, 1, 154
Let i(j) be the second derivative of 5*j**4/12 + 355*j**3 + 226845*j**2/2 + 40*j. Factor i(y).
5*(y + 213)**2
Let z(y) be the second derivative of -41/3*y**4 - 266*y**3 - 1/5*y**5 + 882*y**2 - 2 - y. Find r such that z(r) = 0.
-21, 1
Let f be ((-1360)/62 - -22) + 267*1/186. What is p in -1/4*p**3 - 5/4*p**2 + 0 + f*p = 0?
-6, 0, 1
Let f(w) be the first derivative of w**4/2 - 11*w**3/3 - 4*w**2 + 44*w + 1647. Factor f(g).
(g - 2)*(g + 2)*(2*g - 11)
Let b = -1887 + 1887. Let l(u) be the third derivative of 2*u**2 - 1/54*u**4 +