2*d**2 + 1/12*d**5 - 65/24*d**4 + 28*d. What is p in l(p) = 0?
-1, 14
Suppose 451 - 136 = 35*t. Solve 33 - 6*g - t*g**2 + 18*g + 2*g**2 - 53 + 12*g = 0.
10/7, 2
Let i = -7527 - -22589/3. Let z(l) be the first derivative of -l**2 + i*l**3 + 0*l - 19 - 3/2*l**4. Factor z(r).
-2*r*(r - 1)*(3*r - 1)
Suppose -512 = -82*n + 18*n. Suppose -5*t = -4*j - n - 9, -3*t + 15 = 0. Solve -4*a - 1/2*a**3 + 2 + 5/2*a**j = 0 for a.
1, 2
Let n(c) be the first derivative of -c**6/39 + 2*c**5/65 + c**4/13 - 4*c**3/39 - c**2/13 + 2*c/13 + 105. Factor n(t).
-2*(t - 1)**3*(t + 1)**2/13
Factor 93*p - 67 + 202 - 48 + 39*p**3 - 69 - 150*p**2.
3*(p - 3)*(p - 1)*(13*p + 2)
Let v = -57425/4 - -517129/36. Factor 722/9 - v*i + 2/9*i**2.
2*(i - 19)**2/9
Let a(v) be the first derivative of -v**7/630 + v**6/180 + v**5/45 - v**4/9 + 63*v**2/2 + 41. Let o(z) be the second derivative of a(z). Factor o(i).
-i*(i - 2)**2*(i + 2)/3
Factor 3*q - 26 + 4*q**3 + 8*q**2 + 2 - 23*q.
4*(q - 2)*(q + 1)*(q + 3)
Let q be 93/225 - (31 + 10822/(-350)). Let a(c) be the first derivative of q*c**2 + 46 + 2/27*c**3 - 8/9*c. Factor a(s).
2*(s - 1)*(s + 4)/9
Suppose -b - 4 = -28. Let y be (-4 - (0 + 0)) + 62 + -56. Solve -15*x**2 + b*x**2 - 11*x**2 - y*x = 0 for x.
-1, 0
Factor 320/3*l**3 + 956/3*l**2 + 0 - 4*l.
4*l*(l + 3)*(80*l - 1)/3
Let p(c) be the first derivative of 2*c**5/5 + 3*c**4/2 - 10*c**3/3 - 3*c**2 + 8*c + 3266. Factor p(g).
2*(g - 1)**2*(g + 1)*(g + 4)
Factor -30750*f**2 - 128*f**4 - 275684 + 61*f**4 + 61*f**4 - 433698*f - 742*f**3.
-2*(f + 41)**3*(3*f + 2)
Let z(f) be the first derivative of f**4/8 - 3*f**3/2 + 2*f**2 + 3486. Suppose z(h) = 0. Calculate h.
0, 1, 8
Let w(n) be the third derivative of 0 - 1/240*n**6 + 1/672*n**8 - 1/280*n**7 + 0*n**4 + 126*n**2 + 1/80*n**5 + 0*n**3 + 0*n. Let w(g) = 0. What is g?
-1, 0, 1, 3/2
Suppose 0 = -h + 5*y - 98, -430*y = -6*h - 425*y - 88. Factor 0*z + 1/5*z**h - 4/5.
(z - 2)*(z + 2)/5
Let p(q) be the first derivative of -q**4/30 + 4*q**3/9 + 17*q**2/15 - 44*q/5 + 4550. Suppose p(j) = 0. What is j?
-3, 2, 11
Suppose -5*w + 128 = -5*k + 23, -4*w + 99 = k. Let n = w + -16. Determine s, given that 2*s**2 - 4*s**2 - 12*s - n*s - 3*s**2 = 0.
-4, 0
Let m(t) be the second derivative of t**5/120 - 41*t**4/36 - 83*t**3/36 + 597*t. What is g in m(g) = 0?
-1, 0, 83
Let n(j) be the first derivative of -4/3*j**2 + 80 - 5/9*j**3 - j. Factor n(r).
-(r + 1)*(5*r + 3)/3
Let x(h) = 6*h**3 + 390*h**2 - h - 62. Let m be x(-65). Let o(r) be the second derivative of -2/39*r**4 - 1/39*r**m - 16*r + 0*r**2 + 0. Factor o(b).
-2*b*(4*b + 1)/13
Let 84*b - 8 + 113*b**2 + 71*b**3 + 260*b**2 + 153*b + 34 - 74*b**4 - 17 = 0. What is b?
-1, -3/74, 3
Let y(q) be the first derivative of 308*q**3 - 909*q**2/2 - 108*q + 12274. Factor y(b).
3*(11*b - 12)*(28*b + 3)
Let a be 121/11 + (-2620)/240. Let i(f) be the first derivative of 1/3*f - 22 - a*f**2 - 7/12*f**4 - 17/18*f**3. Factor i(b).
-(b + 1)*(2*b + 1)*(7*b - 2)/6
Suppose -5*u = -10*u - 215. Let p = u + 46. Factor 2*n**2 + p*n**3 - n**3 + 61*n - 63*n - 2*n**4.
-2*n*(n - 1)**2*(n + 1)
Let x(k) be the first derivative of 4*k**5/5 + k**4/2 - 2*k**3/3 - k**2 - 77. Let b(s) = 5*s**4 + s**3 - 2*s**2 - s. Let a(z) = -2*b(z) + 3*x(z). Factor a(g).
2*g*(g - 1)*(g + 1)*(g + 2)
Let c = 24 + -13. Suppose 14*i = c*i + 9. Let -21*n**4 + 3*n**2 + 217 - 217 - 12*n + 30*n**i = 0. What is n?
-4/7, 0, 1
Suppose 99/7*m**2 + 176/7*m + 12 - 1/7*m**4 + 6/7*m**3 = 0. Calculate m.
-6, -1, 14
Let u(h) be the second derivative of 1/180*h**5 + 11/6*h**3 + 0 + 41*h - 9/2*h**2 - 19/108*h**4. Factor u(i).
(i - 9)**2*(i - 1)/9
Suppose 301*k = 331*k - 180. Let m(b) be the second derivative of 0*b**2 + 1/30*b**6 + 0*b**4 - k*b + 0*b**3 + 1/84*b**7 + 0 + 0*b**5. Factor m(d).
d**4*(d + 2)/2
Let d(m) be the third derivative of -m**6/120 - 119*m**5/30 + 239*m**4/24 - 2*m**2 - 3412*m. Factor d(p).
-p*(p - 1)*(p + 239)
Suppose 593/5*s - 2 + 299/5*s**2 = 0. Calculate s.
-2, 5/299
Solve 862*d - 82*d + 14*d**2 + 409*d - 624 + 991*d = 0 for d.
-156, 2/7
Let v(g) be the second derivative of g**5/40 - 121*g**4/24 + 239*g**3/12 - 119*g**2/4 + 1203*g. Factor v(p).
(p - 119)*(p - 1)**2/2
Let d(b) be the first derivative of b**5 - 85*b**4/2 + 475*b**3/3 - 155*b**2 - 1800. What is j in d(j) = 0?
0, 1, 2, 31
Suppose 0 = -20*f + 12146 + 9274. Let y = f - 9629/9. Let 2/3*j**2 - 10/9*j**3 + 2/9 + y*j - 8/9*j**4 = 0. Calculate j.
-1, -1/4, 1
Let g(s) be the third derivative of s**5/12 + 205*s**4/24 - 150*s**3 + 961*s**2. Factor g(a).
5*(a - 4)*(a + 45)
Determine c so that 4/3 - 364/3*c + 8281/3*c**2 = 0.
2/91
Let l(w) be the third derivative of -1/10*w**5 - 26*w + 0*w**3 - 2/105*w**6 - 3/14*w**4 - 1/735*w**7 - w**2 + 0. What is r in l(r) = 0?
-3, -2, 0
Let b(x) = 3*x**3 + 30*x**2 + 36*x. Let r be 26/6 + (-44)/33. Let u(l) = -3*l**3 - 29*l**2 - 38*l. Let g(w) = r*u(w) + 2*b(w). Let g(c) = 0. What is c?
-7, -2, 0
Let z = 10559/318570 - -2/10619. Let y(q) be the third derivative of 1/15*q**5 + 0*q - 13*q**2 - 1/3*q**4 + 0*q**3 + 0 + z*q**6. What is n in y(n) = 0?
-2, 0, 1
Let w(s) = -70*s + 630. Let y be w(9). Let p = 22 - 20. Factor -3/5*g**p - 6/5*g + y + 3/5*g**3.
3*g*(g - 2)*(g + 1)/5
Suppose -2 - a**3 - 5 + 27*a - 10 - 12*a**2 + 5 - 2 = 0. What is a?
-14, 1
Let x = -70 + 68. Let q be 3/x*72/(-54). Factor 11*v**2 - 25*v + 2*v**2 - 20 - 18*v**q + 0.
-5*(v + 1)*(v + 4)
Let i(r) be the first derivative of -3*r**5/5 - 108*r**4 - 7776*r**3 - 279936*r**2 - 5038848*r - 802. Factor i(p).
-3*(p + 36)**4
Suppose 6 + 38 = 4*r. Let y(o) = -218 - r + 22 - 28 + 45*o**2 - 55*o. Let q(l) = -5*l**2 + 6*l + 26. Let n(s) = 55*q(s) + 6*y(s). Let n(f) = 0. What is f?
-2, 2
Let f(w) be the first derivative of -5*w**3 - 12*w**2 + 22 + 144*w + 3/4*w**4. Suppose f(q) = 0. Calculate q.
-3, 4
Let t(n) = n**3 + 17*n**2 + 72*n + 14. Let u be t(-7). Let i(a) be the first derivative of 1/18*a**4 + 1/9*a**2 + 4/27*a**3 - 2 + u*a. Factor i(z).
2*z*(z + 1)**2/9
Let s = 129479 + -258933/2. Determine f, given that 5/2*f**2 + s*f + 0 = 0.
-5, 0
Let o(a) be the first derivative of -61*a**4/8 - 51*a**3 - 249*a**2/4 - 2*a - 5242. Suppose o(p) = 0. Calculate p.
-4, -1, -1/61
Let k(y) = -3*y**2 + 13514*y - 15228035. Let v(m) = 9*m**2 - 40543*m + 45684103. Let f(r) = -11*k(r) - 4*v(r). Let f(z) = 0. Calculate z.
2253
Let p(t) = t - 1. Let y(o) = 13*o**3 + 2*o**3 + 3 + 5*o**3 + 2*o - 1 + 24*o**2. Suppose -u = 1 - 2. Let q(s) = u*y(s) + 2*p(s). Factor q(k).
4*k*(k + 1)*(5*k + 1)
Suppose 3*t - 107 = -5*p, 3*t + 2*p - 121 + 8 = 0. Determine m so that -t*m**3 - 28*m**2 + 3*m**4 + 13 - 29*m**2 + 29 + 25*m**2 + 39*m - 13*m**2 = 0.
-1, 1, 14
Suppose -6 = 266*h - 267*h. Let z(t) = 8*t**3 + 16*t**2 + 20*t - 12. Let u(x) = -6*x**3 - 16*x**2 - 20*x + 10. Let v(q) = h*u(q) + 5*z(q). Factor v(g).
4*g*(g - 5)*(g + 1)
Suppose -1356*b + 1424*b - 272 = 0. Factor 3/5*y**b + 12/5*y**3 - 9/5*y**2 + 24/5 - 6*y.
3*(y - 1)**2*(y + 2)*(y + 4)/5
Let 5*o**2 - 2380*o - 348 + 348 - 2385 = 0. Calculate o.
-1, 477
Factor 3889*t + 5*t**2 + 1132096 - t**2 + 367*t.
4*(t + 532)**2
Let l(g) be the second derivative of -g**4/60 - 857*g**3/30 - 10*g + 240. Factor l(v).
-v*(v + 857)/5
Let d(i) be the second derivative of 0 + 163*i + 70*i**2 - 25/4*i**4 - 1/4*i**5 - 10*i**3. Find y such that d(y) = 0.
-14, -2, 1
Suppose -2*t = -1569 + 1529. Suppose r - t = -4*w + 3*r, 5*r = -4*w - 8. Find k, given that 1/2*k**w + k**2 + 1/2*k + 0 = 0.
-1, 0
Solve 301401*q + 1/3*q**3 - 55156383 - 549*q**2 = 0 for q.
549
Let u(h) be the third derivative of h**5/4 - 65*h**4/12 + 29*h**3/6 + 258*h**2. Let g(m) = m**2 - 2*m + 3. Let l(s) = g(s) + u(s). Factor l(i).
4*(i - 8)*(4*i - 1)
Let g(u) be the third derivative of 0 - 3/10*u**3 + 0*u + 19/100*u**5 - 1/40*u**6 - 7/40*u**4 - 2/175*u**7 + 74*u**2. Determine h so that g(h) = 0.
-3, -1/4, 1
Suppose -11 = 4*m + m + 3*p, -p - 7 = 0. Let z(o) be the third derivative of 0*o**3 - 1/32*o**4 + 0*o + 8*o**m + 0 + 1/80*o**5. Factor z(s).
3*s*(s - 1)/4
Solve 10*d - d**2 - 239 + 203 - 7*d + 34*d = 0 for d.
1, 36
Let -3130*o**2 - 7666074250/3 + 2/3*o**3 + 4898450*o = 0. Calculate o.
1565
Let v be (6 + -10)*(-24)/32. Let q(p) be the first derivative of -2*p + 16/5*p**5 + 25 - 7/6*p**6 - 14/3*p**v - p**4 + 11/2*p**2. Factor q(m).
-(m - 1)**3*