u - 7)**2*(7*u - 2)
Suppose 2*r = -2*q - 2, -3 = 3*r + q - 6. Suppose r*p = -h + 13, 2*h + 3*h = 2*p + 89. Factor -5*n**4 + h*n**2 - 13 - 8*n + 3 + 5*n**3 - 2*n**2 + 3*n.
-5*(n - 2)*(n - 1)*(n + 1)**2
Let n(m) be the first derivative of m**5 - 10*m**4 - 610*m**3/3 + 660*m**2 - 675*m + 2106. Factor n(z).
5*(z - 15)*(z - 1)**2*(z + 9)
Let i be 1/(((-4640)/128)/(-29)). Suppose -i*w**4 + 8/5*w**2 + 2/5*w + 2/5*w**5 - 4/5 - 4/5*w**3 = 0. What is w?
-1, 1, 2
Let n(d) = -6*d - 3. Let k be n(-1). Let b be -4*(3/6 + k/(-2)). Determine m, given that -15*m + 30*m - 10*m**3 + 24*m**5 - 10*m**2 + 15*m**b - 29*m**5 - 5 = 0.
-1, 1
Let z(r) be the second derivative of -r**7/56 - 29*r**6/40 - 3*r**5 - 13*r**4/4 + 3498*r. Solve z(m) = 0.
-26, -2, -1, 0
Let d(b) be the second derivative of -3*b**5/40 - 423*b**4/8 - 44943*b**3/4 - 133563*b**2/4 - 471*b + 2. Suppose d(o) = 0. What is o?
-211, -1
Let v(t) be the third derivative of t**7/560 - t**6/40 + 21*t**5/160 - 11*t**4/32 + t**3/2 + 190*t**2 + 4*t. Factor v(l).
3*(l - 4)*(l - 2)*(l - 1)**2/8
Let i = 63 + -79. Let l = i + 19. Factor -4*o - o - l*o**2 - 3*o - 4*o - 12.
-3*(o + 2)**2
Find c, given that -12735/4*c**3 + 531*c + 21/4*c**5 + 3699/2*c**4 + 798*c**2 + 0 = 0.
-354, -2/7, 0, 1
Let x = 28269 - 28269. What is z in x*z**2 + 0*z + 0 + 0*z**3 + 1/4*z**4 - 1/4*z**5 = 0?
0, 1
Suppose 36*v - 34*v = 3*n + 12, -4*v + 2*n = -16. Factor -2 + 8*l**2 - 43*l**2 - 11 - 70*l - 27 - 5*l**v.
-5*(l + 1)*(l + 2)*(l + 4)
Let y be (-1690)/(-507)*(-3 + 0). Let f be -6 + (-72)/y - 66/105. Determine b so that -40/7*b**4 - 26/7*b**3 - f*b**2 + 0 - 18/7*b**5 + 0*b = 0.
-1, -2/9, 0
Let m(p) = -p**3 - 25*p**2 + 5. Let o be m(-25). Solve -5*h**2 + 10*h - o*h - 15*h = 0 for h.
-2, 0
Let s(w) = -3*w**3 - 50*w**2 - 46*w - 224. Let u be s(-16). Determine c so that 1/4*c**2 + u - 3/4*c = 0.
0, 3
Suppose -215*f + 62*f = -459. Solve -10/3*c + 0 + 4*c**2 - 2/3*c**f = 0 for c.
0, 1, 5
Suppose 104 = -5*s - 2*t, -6*t + 3*t = 5*s + 101. Let i be (-4)/s + ((-120)/55 - -5). Determine b, given that -5352*b + 9*b**3 + 6*b**4 - i*b**5 + 5352*b = 0.
-1, 0, 3
Suppose -4967 = -4279*t + 2994 + 597. Let h be (1/(-10))/(2/(-24)). Factor 72/5 - h*o**3 - 192/5*o - 14*o**t.
-2*(o + 6)**2*(3*o - 1)/5
Let s(c) be the first derivative of c**4/4 + 8*c**3 - 307*c**2/2 - 330*c - 2948. Find a, given that s(a) = 0.
-33, -1, 10
Let f(u) be the second derivative of 11*u**5/5 - 245*u**4/6 + 253*u**3/3 - 30*u**2 - 323*u + 5. Factor f(j).
2*(j - 10)*(j - 1)*(22*j - 3)
Let f(u) be the first derivative of u**6/3 - 8*u**5/5 - 19*u**4/2 - 28*u**3/3 + 1554. Find o such that f(o) = 0.
-2, -1, 0, 7
Let y = 187 - 187. Factor 3*s**2 + y*s**2 + 19 + 5 + 9 + 36*s.
3*(s + 1)*(s + 11)
Find u, given that -u**3 + 2*u**3 + 3482*u + u**3 + 30712*u + 229297 - 540*u**2 + 79839 = 0.
-8, 139
Factor 21*v - 36*v + 39*v + 3*v**2 + v**2.
4*v*(v + 6)
Let y(o) be the first derivative of -5*o**3/3 - 7255*o**2/2 + 7631. What is k in y(k) = 0?
-1451, 0
Let 4631092/3*s**3 + 49/3*s**5 - 10052*s**4 + 379456/3*s + 884576*s**2 + 0 = 0. What is s?
-2/7, 0, 308
Let j(i) be the third derivative of i**7/3780 - i**6/1080 - i**5/30 - 5*i**4/24 + 13*i**3/6 - 195*i**2. Let s(t) be the second derivative of j(t). Factor s(m).
2*(m - 3)*(m + 2)/3
Let q(f) be the second derivative of f**4/54 - 1442*f**3/27 + 519841*f**2/9 - 3048*f - 2. Factor q(z).
2*(z - 721)**2/9
Let h(s) = -s**2 - 6*s. Let x be h(-5). Let v = 198 - 195. Factor v*n**2 + 12*n**2 - 3*n + n - 8*n - x.
5*(n - 1)*(3*n + 1)
Let g(y) be the first derivative of -y**4/6 - 4*y**3/9 + 35*y**2/3 - 1103. Solve g(h) = 0 for h.
-7, 0, 5
Let b = 1553/10 - 709/5. Let z = -49/6 + b. Factor 1/3*o**5 + z*o + 40/3*o**2 + 11*o**3 + 0 + 10/3*o**4.
o*(o + 1)**2*(o + 4)**2/3
Let i(q) = 2*q**2 - 28*q + 9. Let b be i(15). Suppose -b + 13 - z**2 + 19 + 11 - 3*z**2 = 0. What is z?
-1, 1
Let d(f) be the third derivative of 1/12*f**4 + 0*f + 7/24*f**3 + 1/240*f**5 + 0 - 40*f**2. What is y in d(y) = 0?
-7, -1
Let n = 1 - 6. Let v be 2 + -3 + 1 - n. Factor 18*w**4 - 14*w**2 - 6*w**4 - 2*w**2 + 4*w**v.
4*w**2*(w - 1)*(w + 2)**2
Let i(l) = 2*l + 21. Let p be i(-3). Let o be (-9)/(162/p)*-4. Determine q so that o*q**2 - 2/3*q + 7/6*q**4 - 23/6*q**3 + 0 = 0.
0, 2/7, 1, 2
Let q(j) be the first derivative of -3/14*j**4 + 90 + 1/7*j**6 + 0*j + 1/35*j**5 - 1/21*j**3 + 0*j**2. Suppose q(b) = 0. What is b?
-1, -1/6, 0, 1
Determine y, given that 20*y + 2*y**3 + 94/3*y**2 + 0 = 0.
-15, -2/3, 0
Let u = 411 - 283. Solve -123*t**2 - u*t**2 - 2*t + 24 + 247*t**2 - 2*t = 0 for t.
-3, 2
Let f(p) be the first derivative of 2*p**5/5 + p**4 - 200*p**3/3 - 2*p**2 + 198*p + 8119. Find t such that f(t) = 0.
-11, -1, 1, 9
Let a be 8/16 + 21/6. Factor 4*x**3 - 59*x + 27*x**a - 25*x**4 - 2 + 55*x.
2*(x - 1)*(x + 1)**3
Let r(c) be the third derivative of c**7/1890 + 11*c**6/540 + 157*c**5/540 + 11*c**4/6 + 6*c**3 - 1438*c**2. What is v in r(v) = 0?
-9, -2
Let i be (-72)/8*(-19)/3. Suppose -10*y = -29*y + i. Solve 2 + 3/2*s**2 + 1/4*s**y + 3*s = 0 for s.
-2
Let l = -35 - -28. Let r be (-2 + -8)*l/14 + -3. Factor 46*v**2 - 2063*v**3 + 2068*v**3 - 5*v**4 - 11*v**r - 65*v + 30.
-5*(v - 2)*(v - 1)**2*(v + 3)
Let t(o) be the third derivative of -3*o**8/784 - o**7/5 - 89*o**6/40 + 712*o**5/35 - 855*o**4/14 + 648*o**3/7 + 2*o**2 + 2*o - 59. What is j in t(j) = 0?
-18, 1, 4/3
Let r(q) = -q**2 - 24*q - 77. Let t be r(-20). Solve -3*f + 8*f - t*f + 38 - 2*f**3 - 46*f**2 + 8 = 0 for f.
-23, -1, 1
Determine q, given that -5*q**2 + 125*q - 444*q - 5*q**2 - 2800 - 71*q + 5*q**2 = 0.
-70, -8
Suppose -41 + 68 + 29 = 58*t - 60. Factor 30/11*y**t + 0 + 0*y + 4/11*y**3 - 2/11*y**4.
-2*y**2*(y - 5)*(y + 3)/11
Let l(q) be the third derivative of -q**6/30 + 14*q**5/15 + 61*q**4/6 - 340*q**3/3 - 2*q**2 + 12. Find m such that l(m) = 0.
-5, 2, 17
Let i(t) = -1255*t - 32628. Let j be i(-26). Let -4/3 + 4/3*b**j + 0*b = 0. What is b?
-1, 1
Suppose -5*w = -p, 21*p - 16*p = 0. Let m(j) be the second derivative of -1/70*j**5 - 1/21*j**3 + 1/21*j**4 - 3*j + 0*j**2 + w. Factor m(u).
-2*u*(u - 1)**2/7
Let c(f) = f + 6. Suppose 0 = 5*g - 3*i + 29, 2 + 4 = 2*i. Let p be c(g). Factor 0*h**3 - 2*h**5 + 3*h**p + 2*h**4 + h**3 + h**3 - 5*h**2.
-2*h**2*(h - 1)**2*(h + 1)
Let d(g) = g + 5. Let a be d(-3). Suppose 7 = 2*b - f, 7*f + 17 = 4*b + a*f. Factor -7*l**2 + l**3 + b*l**2 + 5*l**2.
l**2*(l + 1)
Let m(x) be the third derivative of x**5/12 + 2755*x**4/4 + 4554015*x**3/2 - 3*x**2 - 60*x + 1. Let m(f) = 0. Calculate f.
-1653
Let b(v) be the second derivative of -1/60*v**5 - 3*v + 0 + 2/9*v**3 + 0*v**4 + 9/2*v**2 + 1/360*v**6. Let q(d) be the first derivative of b(d). Factor q(z).
(z - 2)**2*(z + 1)/3
Let f = 7492/7 - 22475/21. Let o(w) be the first derivative of f*w**3 - 16 + 2/7*w**2 + 4/7*w. Solve o(i) = 0.
-2
Find w, given that -2738/15 - 6/5*w**2 - 148/5*w = 0.
-37/3
Let a(n) = -n**2 + 141*n + 24. Let p(h) = 4. Let i(m) = a(m) - 6*p(m). Determine u so that i(u) = 0.
0, 141
Let o(h) be the third derivative of -h**8/1680 + 279*h**7/350 + 839*h**6/200 + 2519*h**5/300 + 7*h**4 - 1840*h**2. Factor o(t).
-t*(t - 840)*(t + 1)**3/5
Let p = -17708 + 17713. Let o(u) be the third derivative of -11*u**2 - 1/36*u**4 + 1/90*u**p - 2/3*u**3 + 0*u + 0. Determine m so that o(m) = 0.
-2, 3
Let f(k) be the second derivative of 5*k - 16*k**2 - 3/2*k**4 - 8*k**3 - 1/10*k**5 + 0. Determine r, given that f(r) = 0.
-4, -1
Suppose 68 = 21*y - 45 + 71. Let t = 13/7 - 12/7. Factor -1/7*l**y + 6/7 - t*l.
-(l - 2)*(l + 3)/7
Suppose 475 + 525 - 824 = 44*c. Factor 1/7*o**c + 1/7*o**5 + 1/7 + 1/7*o - 2/7*o**2 - 2/7*o**3.
(o - 1)**2*(o + 1)**3/7
Factor 7/6*g - 4/3*g**2 - 1/3 + 1/3*g**3 + 1/3*g**4 - 1/6*g**5.
-(g - 1)**4*(g + 2)/6
Suppose -38*q + 84 + 68 = 0. Let d(m) be the third derivative of 0 + 10*m**2 + 7/132*m**q + 2/33*m**3 + 1/66*m**5 + 0*m. Let d(s) = 0. Calculate s.
-1, -2/5
Let s(f) = 227*f - 226*f + 0*f**3 - 3*f**3 - f**2 + 4*f**3 + f**4. Let m(g) = -3*g**4 - 68*g**3 - 242*g**2 + 72*g + 245. Let o(h) = -m(h) + 2*s(h). Factor o(u).
5*(u - 1)*(u + 1)*(u + 7)**2
Suppose 5184 - 3*c**2 + 1/4*c**3 - 288*c = 0. What is c?
-36, 24
Let f(w) = 531*w + 5312. Let h be f(-10). Determine z, given that -2*z + 24/5*z**h - 1/5 = 0.
-1/12, 1/2
Let x(n) = 2*n**2 + 3*n + 3. Let w(c