*t - 15/4*t**u + 0*t**2 - 9/2*t**4 - 3/4*t**5 + 0 = 0?
-5, -1, 0
Let z = -24591 + 24596. Factor -18/5*u**3 + 6/5*u**4 + 18/5*u**2 + 0*u + 0 - 2/15*u**z.
-2*u**2*(u - 3)**3/15
Let s(o) be the first derivative of o**6/15 + 56*o**5/25 + 57*o**4/10 - 1236*o**3/5 + 6156*o**2/5 - 11664*o/5 - 1757. Suppose s(d) = 0. Calculate d.
-18, 2, 3
Let w be 4/(16/9)*4. Suppose 3*s - 5*c - 9 = 0, -5*c - w = 4*s - 21. Factor -3*f**2 + 0 - 3/2*f**s - 3/2*f.
-3*f*(f + 1)**2/2
Suppose -5*l - 3*k - 5795 = -5826, 0 = -4*l - 3*k + 29. Factor 0*g**l + 375/4*g**4 + 0 + 225/4*g**3 - 3*g.
3*g*(5*g - 1)*(5*g + 2)**2/4
Let b(t) be the second derivative of t**4/4 + 5*t**3/2 + 6*t**2 + t. Factor b(z).
3*(z + 1)*(z + 4)
Factor -1400/3*p**2 + 0 + 98000/3*p + 5/3*p**3.
5*p*(p - 140)**2/3
Let b(u) be the first derivative of u**6/21 - 48*u**5/35 + 72*u**4/7 - 512*u**3/21 - 3330. Determine r, given that b(r) = 0.
0, 4, 16
Suppose 11*a - 62 = 4. Let o(h) be the first derivative of 9 - 5/3*h**3 - 5/4*h**4 + 5/6*h**a + 0*h + 0*h**2 + h**5. Solve o(n) = 0.
-1, 0, 1
Let m(u) be the first derivative of -106 + 8/3*u**3 + 11/5*u**2 + 7/10*u**4 - 4/5*u. Determine f, given that m(f) = 0.
-2, -1, 1/7
Let l(h) = -6*h**3 + 4*h**2 - 4*h. Suppose -n - 11 + 3 = z, -3*z + 4*n + 4 = 0. Let o(f) = -7*f**3 + 5*f**2 - 5*f. Let b(i) = z*o(i) + 5*l(i). Factor b(u).
-2*u**3
Let q = -110995 + 110997. Factor 0 - 5/4*s**3 + 3/2*s + 13/4*s**q.
-s*(s - 3)*(5*s + 2)/4
Factor 150 + 2693*s**3 - 2675*s**3 + 4*s**2 - 10*s + 355*s + 132*s**2 + 77*s**2.
3*(s + 1)*(s + 10)*(6*s + 5)
Suppose 33 = 6*b - 4*d + 31, 2*b = -3*d + 18. Let k(i) be the first derivative of -3/5*i**5 + 0*i**2 + 37 - 1/6*i**6 + 0*i - 1/2*i**4 + 0*i**b. Factor k(c).
-c**3*(c + 1)*(c + 2)
Let v be (-156)/(-153) - (2688/9639 + 26/351). Determine c, given that 0*c**2 + 0*c - 16/3*c**3 - v*c**5 + 6*c**4 + 0 = 0.
0, 1, 8
Let r = 817721 - 4088577/5. What is f in -44/5*f - 4/5*f**3 - r*f**2 - 4 = 0?
-5, -1
Suppose 7287 = 8*d - 11361. Let q be 555/d + (-1)/7. Solve -q - 2/21*y**3 + 2/21*y**2 + 2/21*y = 0.
-1, 1
Let w be ((-27)/5)/3*(-10)/(-210)*-7. Let o(s) be the first derivative of w*s**2 + 17 + 4/5*s + 2/15*s**3. Factor o(n).
2*(n + 1)*(n + 2)/5
Let q(u) be the third derivative of -u**6/120 + 131*u**5/60 - 64*u**4/3 + 254*u**3/3 - 2*u**2 - 110*u. Factor q(p).
-(p - 127)*(p - 2)**2
Let o(t) be the third derivative of t**6/480 - 379*t**5/240 + 755*t**4/96 - 377*t**3/24 - 1773*t**2. What is d in o(d) = 0?
1, 377
Let i(y) be the second derivative of y**4/6 - 4510*y**3/3 + 5085025*y**2 + 2*y - 4. Find z such that i(z) = 0.
2255
Let x(q) = -100*q + 798. Let o be x(7). Let k be 546/o - 10*1/2. Factor -4/7*d**3 + 4/7*d - 12/7*d**2 + 8/7 + k*d**4.
4*(d - 2)*(d - 1)*(d + 1)**2/7
Let f(j) be the third derivative of -1 + 0*j - 1/108*j**4 + 1/27*j**3 + 17*j**2 - 1/135*j**5. Factor f(n).
-2*(n + 1)*(2*n - 1)/9
Let t(f) be the second derivative of -f**6/10 + 3*f**5/10 + 29*f**4/4 - 15*f**3 - 551*f. Factor t(n).
-3*n*(n - 6)*(n - 1)*(n + 5)
Let a be ((-159461)/7048 + 23 + 0 - (-21)/8)*1. Factor -5/4*g**a - 4495/4*g - 305/4*g**2 + 4805/4.
-5*(g - 1)*(g + 31)**2/4
Determine t so that 150*t**2 + 9230647*t + 54*t**2 - 48*t**3 - 225 - 9230767*t = 0.
-3/4, 5/2
Let g be (-6)/(-20) + 195/(-150). Let d be (-84)/(-84) - (g + 2). Factor 16/7*j + d - 48/7*j**2 + 20/7*j**3.
4*j*(j - 2)*(5*j - 2)/7
Let -770850353 - 12841856175 - 4*z**3 + 9438516*z - 10848191*z - 23750773*z + 1468596960 - 17376*z**2 = 0. What is z?
-1448
Let h(v) = -7*v**4 + 12*v**3 - 15*v**2 - 6*v + 6. Let f(d) = -d**3 - 31*d**2 - 1 - 8*d + d**4 + 32*d**2 + 9*d. Let a(b) = 6*f(b) + h(b). Factor a(w).
-w**2*(w - 3)**2
Let f(l) = 47*l**2 + 14904*l - 11100500. Let b(r) = -13*r**2 - r. Let j(z) = 4*b(z) + f(z). Suppose j(c) = 0. What is c?
1490
Let b(n) be the second derivative of -15 + 1/3*n**6 - 7/3*n**4 - 1/21*n**7 + 10*n - 1/5*n**5 + n**3 + 9*n**2. Determine z, given that b(z) = 0.
-1, 1, 3
Factor -88/3*i + 320/3 + 2/3*i**2.
2*(i - 40)*(i - 4)/3
Let m be -4*((-119)/14)/(-17)*-2. Let n(z) be the second derivative of 5/12*z**m + 5/4*z**2 - 1/16*z**5 + 19*z + 0 - 25/24*z**3. Factor n(r).
-5*(r - 2)*(r - 1)**2/4
Let s(y) be the first derivative of 105/2*y**2 - 5/4*y**4 - 22 - 15*y**3 - 55*y. Let s(m) = 0. Calculate m.
-11, 1
Let b(d) be the second derivative of d**7/630 + 11*d**6/180 - 2*d**5/5 - 47*d**4/12 + d + 11. Let t(x) be the third derivative of b(x). Factor t(h).
4*(h - 1)*(h + 12)
Let p(b) be the third derivative of -b**6/160 + 79*b**5/80 - 57*b**4/8 + 5*b**2 - 17*b + 10. Find n, given that p(n) = 0.
0, 3, 76
Let r(c) be the second derivative of -5*c**4/12 - 20*c**3 - 4*c + 3. Let y(p) = 2*p**2 + 40*p. Let q(i) = 3*r(i) + 8*y(i). Suppose q(j) = 0. Calculate j.
0, 40
Let n be 319/7 - 100/175. Let y be (2 - 7/3)*n/(-5). Suppose 4/11 - 2/11*k + 2/11*k**4 - 6/11*k**2 + 2/11*k**y = 0. What is k?
-2, -1, 1
Let a be (4/(-16))/((-28)/336)*(2 + -1). Let z(m) be the first derivative of -3/16*m**4 - 9/4*m + 1 - 5/4*m**a - 21/8*m**2. Find d, given that z(d) = 0.
-3, -1
Find b, given that -39/5*b - 19/5*b**3 + 0 + 2/5*b**4 - 88/5*b**2 = 0.
-3, -1/2, 0, 13
Let b(r) = -36*r + 2448. Let c be b(68). Let z(a) be the third derivative of 5/3*a**3 - 7/12*a**5 + 25/24*a**4 + 0*a - 15*a**2 + c. Solve z(v) = 0.
-2/7, 1
Suppose 88329 + 510441 = 30*u. Find p, given that 486*p**3 + 19905*p**4 + 0*p**5 - u*p**4 - 2*p**5 - 1458*p**2 + 4*p**5 = 0.
0, 9
Let g(a) = -a**3 + 2*a**2 + 3*a + 2. Let n be g(0). Factor 4*w**5 - n*w**5 - w**5 + 4*w**5.
5*w**5
Let d(y) be the second derivative of -y**5/40 - 91*y**4/24 + 94*y**3/3 - 95*y**2 + 2*y + 1300. Factor d(f).
-(f - 2)**2*(f + 95)/2
Let s(j) = -880*j + 96800. Let x be s(110). Factor -6/7*y + 6/7*y**3 - 3/7*y**4 + 3/7*y**2 + x.
-3*y*(y - 2)*(y - 1)*(y + 1)/7
Suppose 9*p - 17 - 10 = 0. Factor 4 + 15*v**3 - 14 - 27*v**2 + 4 + 16*v + 5*v - p*v**4.
-3*(v - 2)*(v - 1)**3
Let m(i) be the second derivative of 0 - 1/105*i**5 + 12*i - 17/2*i**2 + 16/21*i**3 + 1/21*i**4. Let z(t) be the first derivative of m(t). Factor z(c).
-4*(c - 4)*(c + 2)/7
Let c = -215 - -219. Factor 38*p + 14*p**4 + 160 - 30*p**2 + 122*p - 19*p**c - 35*p**3.
-5*(p - 2)*(p + 1)*(p + 4)**2
Let u(l) be the second derivative of l**5/10 - l**4/12 + l**3/6 + l**2 - 21*l. Let r be u(3). Solve -2*d**5 - r*d**2 + 25*d**2 + 4*d**4 + 25*d**2 = 0.
0, 2
Let d = 580 + -580. Let q(i) = -i**3 - 2*i**2 + 4*i + 2. Let j be q(d). Factor j + 4/9*y**3 - 22/9*y**2 + 8/3*y.
2*(y - 3)**2*(2*y + 1)/9
Suppose 5*t + 4*u = 72, 0 = 4*u + u - 15. Suppose -24*v + t = -20*v. Determine o, given that -105*o**v - 10*o**2 - 155*o**4 - 233*o**4 + 28*o**4 - 400*o**5 = 0.
-2/5, -1/4, 0
Let g(j) be the first derivative of j**6/120 + j**5/30 - j**4/24 - j**3/3 + 7*j**2/2 - j + 10. Let q(u) be the second derivative of g(u). Solve q(t) = 0.
-2, -1, 1
Let b(m) = 2*m**2. Suppose 3*x + 30 - 33 = -2*r, 0 = 2*x + 3*r + 3. Let p(a) = a**3 + 31*a**2 + 168*a + 144. Let z(f) = x*b(f) - p(f). Factor z(o).
-(o + 1)*(o + 12)**2
Let d = 212 - 206. Let -2*m**5 + 26*m**2 + m**5 + d*m**4 + 0*m**5 - 6*m**3 - 20*m**2 - 5*m**3 = 0. Calculate m.
0, 1, 2, 3
Let m(g) be the second derivative of -g**6/30 - g**5/2 - 29*g**4/12 - 4*g**3/3 + 24*g**2 - 1755*g. Factor m(w).
-(w - 1)*(w + 3)*(w + 4)**2
Factor 97*q**3 - 1700*q**2 - 1634*q**2 + 759*q + 3244*q**2 - 666 - 100*q**3.
-3*(q - 6)*(q - 1)*(q + 37)
Suppose -2*k - 8 + 550 = 0. Suppose -274*f + f**3 + k*f + 2*f**2 + 0*f**3 = 0. What is f?
-3, 0, 1
Let d(f) be the first derivative of 0*f + 1/3*f**3 + 49 - 19/2*f**2. Suppose d(y) = 0. Calculate y.
0, 19
Let j be ((-15)/20)/((-39)/(-338)*-13). Determine d so that 22 - j*d**3 + 7/2*d**2 + 20*d = 0.
-2, 11
Let j(u) = 5*u**5 - 167*u**4 + 3517*u**3 - 6397*u**2 - 6*u + 6. Let g(b) = -b**5 + b**4 + b**3 - b**2 + 2*b - 2. Let t(q) = -6*g(q) - 2*j(q). Factor t(r).
-4*r**2*(r - 40)**2*(r - 2)
Let q(w) = -w**3 + w**2 + 18*w - 32. Let n be q(3). Let y(t) be the third derivative of 9*t**2 + 1/5*t**5 + 0 + 7/8*t**n + 3/2*t**3 + 0*t. Factor y(s).
3*(s + 1)*(4*s + 3)
Let w(y) be the second derivative of 11/12*y**4 + 0 - 1/20*y**5 + 0*y**2 - 5/3*y**3 + 53*y. Solve w(h) = 0.
0, 1, 10
Let v be (20/(-24)*9)/((-2)/(-4)). Let p = 18 + v. Let -509*d - 864 + 77*d + 275*d**3 - 72*d**2 - 279*d**p = 0. Calculate d.
-6
Fa