x + 2)/6
Let h(n) be the second derivative of -n**4/6 + 1244*n**3/3 + 4739*n. Factor h(k).
-2*k*(k - 1244)
Factor 662*m - 6612/5 - 2/5*m**2.
-2*(m - 1653)*(m - 2)/5
Suppose 5*h - 2739 = 18*g - 22*g, -g = -h - 687. Let z = g + -6169/9. Suppose z*f**2 + 0 - 2/3*f + 1/9*f**3 = 0. What is f?
-6, 0, 1
Let r be (12/8*4/3)/(662/1655). Let c(a) be the third derivative of 36*a**2 + 68/3*a**4 - 5/6*a**6 - 56/3*a**3 - 31/3*a**r + 0*a + 0. What is j in c(j) = 0?
-7, 2/5
Let q(g) be the third derivative of g**5/60 + g**4/24 - 10*g**3/3 - 1632*g**2. Factor q(o).
(o - 4)*(o + 5)
Let p(t) be the third derivative of 1/140*t**7 - 1/4*t**3 + 0*t**5 + 60*t**2 + 0*t + 1/8*t**4 + 0 - 1/40*t**6. Suppose p(n) = 0. What is n?
-1, 1
Let f(h) be the second derivative of 2*h**5/15 + 5*h**4/12 - 43*h**2/2 - 11*h. Let l(r) be the first derivative of f(r). Determine q so that l(q) = 0.
-5/4, 0
Let m(c) = -2*c**2 + 250*c - 7752. Let i be m(60). Find d such that 16/3*d**3 + 36 + 4/9*d**4 + i*d + 24*d**2 = 0.
-3
Let l(n) be the third derivative of 49*n**6/60 + 293*n**5/30 + 145*n**4/4 - 3*n**3 - 2*n**2 + 382*n. Determine y, given that l(y) = 0.
-3, 1/49
Let k(y) be the third derivative of 4*y**7/105 + 13*y**6/36 + 67*y**5/90 - 19*y**4/12 + y**3 + 867*y**2. Suppose k(t) = 0. What is t?
-3, 1/4, 1/3
Let i = -333942 + 333942. Factor i + 2/5*h**2 + 2/5*h.
2*h*(h + 1)/5
Let x be (-21 + 25 + 2*-3)*-3. Let y(d) be the third derivative of 1/40*d**x + 1/10*d**5 - 1/2*d**4 - 4*d**3 + 0 + 0*d + 11*d**2. Solve y(n) = 0 for n.
-2, 2
Suppose 0 = g + 127 - 132. Factor 12*a**3 - 10*a**2 - 15*a - 2*a**3 - 403*a**g + 408*a**5 - 5 + 15*a**4.
5*(a - 1)*(a + 1)**4
Let u(p) = -20*p**2 - 536*p - 576. Let y(f) = 8*f**2 + 214*f + 231. Let d(i) = 5*u(i) + 12*y(i). Find b, given that d(b) = 0.
-27, -1
Let h(d) = 5*d**2 + 470 - 95 + 1521*d + 10*d**2 - 1350*d. Let r(j) = 3*j**2 + 34*j + 75. Let x(w) = 4*h(w) - 21*r(w). Find v, given that x(v) = 0.
-5
Factor 1/7*d**2 + 36/7 + 37/7*d.
(d + 1)*(d + 36)/7
Let q(o) be the first derivative of o**6/1020 + 2*o**5/255 + o**4/51 + 3*o**2 - o - 8. Let r(m) be the second derivative of q(m). Determine j so that r(j) = 0.
-2, 0
Let i(r) = 7*r**2 - 6*r. Suppose 18*p + 2 = 19*p. Let g = -9 + p. Let j(u) = -8*u**2 + 7*u. Let b(h) = g*i(h) - 6*j(h). Let b(n) = 0. What is n?
0
Let i(y) be the second derivative of y**7/70 - 77*y**6/50 + 222*y**5/25 - 73*y**4/5 + 10*y - 12. Solve i(n) = 0.
0, 2, 73
Suppose -2*u + 85 = x + 327, 0 = -3*x - 5*u - 729. Let c be x/372*(22/(-4) + 1). Factor 2/5*k**2 + 9/10*k**5 - 3/10*k**4 + 0 - 4/5*k**c + 0*k.
k**2*(k + 1)*(3*k - 2)**2/10
Let c be (-2)/4*170/425*-15. Let m(s) be the third derivative of 0*s + 1/540*s**6 - 1/9*s**c - 1/54*s**5 + 7/108*s**4 + 0 - 4*s**2. Factor m(z).
2*(z - 3)*(z - 1)**2/9
Let b be 4 + 8 + -20 + 55/5. Let c(j) be the first derivative of 7 - 1/24*j**b - 3/8*j + 1/4*j**2. Find v, given that c(v) = 0.
1, 3
Let a(w) be the third derivative of w**6/120 - 2*w**5/3 - 127*w**4/24 - 43*w**3/3 + 1073*w**2. Factor a(r).
(r - 43)*(r + 1)*(r + 2)
Let u(j) = 6*j + 34 - 4*j**2 - 7 + 12 + 22 - 8*j. Let w(z) = -z**2 + z + 1. Let s(k) = u(k) - w(k). Find m such that s(m) = 0.
-5, 4
Let r(o) be the second derivative of -2*o**6/45 - 13*o**5/30 + 2*o**4 + 4*o**3/3 + 67*o. Let h(c) be the second derivative of r(c). Factor h(v).
-4*(v + 4)*(4*v - 3)
Suppose 3*v + 2 = -4*j + 8, 2*v = 2*j + 4. Factor -2 - 9*p**2 + 3*p**3 - 8*p**v + 16*p**2 - 4*p**3 - 5*p - 3*p**2.
-(p + 1)**2*(p + 2)
Let b(z) be the first derivative of z**5/30 + 7*z**4/24 - 17*z**3/18 + 3*z**2/4 - 351. Factor b(q).
q*(q - 1)**2*(q + 9)/6
Suppose -1 - 1 = -r. Suppose -4*d + 12 = r*d. What is b in 4*b**d + b**2 - 2*b - 4 + 0*b - 3*b**2 = 0?
-1, 2
Factor -400/9*c - 2/9*c**2 + 134/3.
-2*(c - 1)*(c + 201)/9
Suppose -2/17*k**3 - 126/17*k**2 - 5400/17 - 2160/17*k = 0. Calculate k.
-30, -3
Let c = 919/50950 - -2/1019. Let q(o) be the second derivative of -c*o**5 - 7/20*o**4 - 4/15*o**3 + 7/150*o**6 + 2/5*o**2 + 11*o + 0. Factor q(x).
(x - 2)*(x + 1)**2*(7*x - 2)/5
Let q(m) be the second derivative of m**4/30 + 67*m**3/5 + 40*m**2 - 40*m - 6. Factor q(h).
2*(h + 1)*(h + 200)/5
Let f = -25527 + 25529. Let r(a) be the third derivative of 0*a**7 - 47*a**f + 0*a + 1/255*a**5 + 1/340*a**6 + 0*a**3 - 1/2856*a**8 + 0 + 0*a**4. Factor r(h).
-2*h**2*(h - 2)*(h + 1)**2/17
Let 1907*o + 5*o**4 - 612*o - 530*o - 150*o**3 - 325*o**2 - 615*o + 320 = 0. What is o?
-2, -1, 1, 32
Let c = -3335 + 3340. Let v(z) be the first derivative of 1/12*z**6 + 1/16*z**4 - 3/8*z**2 - 2 + 1/8*z - 9/40*z**c + 1/3*z**3. Factor v(a).
(a - 1)**3*(a + 1)*(4*a - 1)/8
Let v(z) = 3*z**4 - 298*z**3 + 580*z**2 - 278*z + 21. Let q(g) = -3*g**4 + 297*g**3 - 579*g**2 + 279*g - 18. Let p(y) = -7*q(y) - 6*v(y). Factor p(f).
3*f*(f - 95)*(f - 1)**2
Let r be ((-1)/9)/(19/((-11970)/21)). Let n(u) be the first derivative of -14 + 2*u**2 + 2/9*u**3 + r*u. What is m in n(m) = 0?
-5, -1
Suppose 1/6*q**4 - 240 + 151*q - 2*q**3 - 115/6*q**2 = 0. What is q?
-10, 3, 16
Let q(m) be the third derivative of m**8/84 + 2*m**7/7 + 23*m**6/10 + 13*m**5/3 - 25*m**4 - 378*m**2. Determine z, given that q(z) = 0.
-6, -5, 0, 1
Let b(x) be the first derivative of x**4/20 - 2*x**3/5 - 3*x**2/2 - 94*x + 6. Let p(w) be the first derivative of b(w). Solve p(d) = 0 for d.
-1, 5
Factor 1/5*k**5 - 496/5*k - 104/5*k**3 - 256/5 - 352/5*k**2 - 8/5*k**4.
(k - 16)*(k + 2)**4/5
Factor -315*h**2 + 190*h + 81*h + 75*h**3 - 35*h - 5*h**4 + 9*h.
-5*h*(h - 7)**2*(h - 1)
Let l = -27374 + 27379. Let g(h) be the third derivative of 0*h**3 + 30*h**2 + 0 - 1/40*h**6 + 0*h - 3/10*h**l - h**4. Factor g(w).
-3*w*(w + 2)*(w + 4)
Let a be 18/(-48)*4 + (-162)/(-4). Let x = a + -39. What is f in 4 + 6*f**3 - 1 - 2*f + f**4 + x*f**4 - 4*f**2 - 4*f**3 = 0?
-3, -1, 1
Let b(v) be the second derivative of v**5/12 + 125*v**4/12 + 3125*v**3/6 + 27*v**2 - 14*v - 1. Let c(l) be the first derivative of b(l). Factor c(n).
5*(n + 25)**2
Let 60697*j**2 - 60637*j**2 - j**3 + 288*j + 8*j**3 - 3*j**3 + 432 = 0. Calculate j.
-6, -3
Let p be (-23)/((-4830)/56)*10/48. Let b(n) be the first derivative of 26 - p*n**4 + 1/9*n**2 + 2/3*n - 2/9*n**3. Factor b(s).
-2*(s - 1)*(s + 1)*(s + 3)/9
Let j(u) = -u**3 + 385*u**2 + 2749*u + 38. Let y be j(-7). What is d in 4/5 + 6/5*d**2 - 2/5*d**y - 2/5*d**4 + 2*d = 0?
-1, 2
Let k = -9591 - -9593. Find o, given that 0 - 15/8*o**5 + 21/2*o**k + 27/4*o**3 + 3*o - 21/8*o**4 = 0.
-2, -1, -2/5, 0, 2
Let f(p) be the third derivative of -p**6/900 - p**5/30 + 4*p**4/45 - 433*p**2. Factor f(o).
-2*o*(o - 1)*(o + 16)/15
Let s = 1/15 + 1/3. Let i(c) = -271*c + 4610. Let u be i(17). Factor s*a + 0 - a**u + 7/5*a**2 - 4/5*a**4.
-a*(a - 1)*(a + 2)*(4*a + 1)/5
Let f(z) be the first derivative of 0*z - 5*z**2 + 13/12*z**4 - 27 - 169/6*z**3 - 1/60*z**5. Let v(t) be the second derivative of f(t). Factor v(d).
-(d - 13)**2
Suppose -6*v = 3*h - v - 4, -4*h = 4*v - 16. Let w be (-1 - -2) + h*253/352. Factor 3 + 9/2*m**2 + w*m + 3/4*m**3.
3*(m + 1)**2*(m + 4)/4
Determine b so that 7/2*b - 3/2*b**2 - 3/2*b**3 + 1/2*b**4 + 3 = 0.
-1, 2, 3
Let c(k) be the third derivative of k**7/630 - 137*k**6/30 + 56307*k**5/10 - 7714059*k**4/2 + 3170478249*k**3/2 + 32*k**2 - 10*k. Factor c(r).
(r - 411)**4/3
Let i be (-110)/(-3465)*(-13 - -22). Let -i*u**2 - 34/7 + 36/7*u = 0. Calculate u.
1, 17
Let d(k) = 2*k**2 - 287*k - 3067. Let j be d(-10). Let z(t) be the second derivative of 11*t - t**2 - 13/18*t**j + 0 + 1/20*t**5 - 1/9*t**4. Factor z(f).
(f - 3)*(f + 1)*(3*f + 2)/3
Let q(k) be the second derivative of -k**5/90 + 157*k**4/54 - 2014*k. Factor q(a).
-2*a**2*(a - 157)/9
Find c, given that 430*c - 739 - 141 + 38*c**2 - 77*c**2 + 44*c**2 = 0.
-88, 2
Factor 24/7*b**2 + 16*b + 4/7*b**4 - 160/7 - 4*b**3.
4*(b - 5)*(b - 2)**2*(b + 2)/7
Suppose -7840 - 886*t - 275*t**3 + 9*t**4 + 1768*t + 3630*t**2 - 4*t**4 + 1364*t + 2234*t = 0. Calculate t.
-2, 1, 28
Suppose 36481/2*y**3 - 109825/2*y**2 - 3/2 + 1147/2*y = 0. What is y?
1/191, 3
Let v(l) = 21*l**2 - 5*l + 6. Suppose 4*n - 7*o + 2*o = 10, n - 15 = -5*o. Let x be v(n). Factor -2*u - x*u**2 - 11*u**3 - u + 3*u**4 + 2*u**3 + 515*u**2.
3*u*(u - 1)**3
Let t be 5/80 - (-5)/((-3600)/(-243)). Let z(s) be the first derivative of 1 + 0*s**2 + 0*s + 4/3*s**3 + t