920 + f**7/480 - f**6/60 - 2*f**5/5 - 17*f**4/4 - 147*f. Let c(y) be the third derivative of v(y). Factor c(q).
-3*(q - 8)**2*(q + 2)/8
Let n(l) = 3*l**2 - 90*l - 25. Let t be n(30). Let b be t/(-4) + (-3 - (3 + 0)). Factor -1/4*x**4 + x + 0 + x**2 - b*x**3.
-x*(x - 2)*(x + 1)*(x + 2)/4
Factor 3/4*g**3 - 445/2 + 2769/4*g - 149/2*g**2.
(g - 89)*(g - 10)*(3*g - 1)/4
Suppose -1123*r**5 + 201225*r**3 + 284*r**5 - 1557*r**4 + 210609*r**2 + 842*r**5 - 23985 - 1018680*r + 632385 = 0. Calculate r.
-3, 1, 260
Let o = -9498/13 + 47542/65. Factor -16/5*r - 16/5 + o*r**3 + 1/5*r**4 + 0*r**2.
(r - 2)*(r + 2)**3/5
Find p such that -1/4*p**2 - 29/4*p - 105/2 = 0.
-15, -14
Let k(m) be the first derivative of -2*m**3/3 - 114*m**2 + 1190*m - 5639. Factor k(z).
-2*(z - 5)*(z + 119)
Let m(h) = h**3 + 4*h**2 - 6*h + 16. Let j be m(-4). Suppose 4*d**2 - 53*d - 55*d + 24 + 40 + j*d = 0. Calculate d.
1, 16
Let u = 739/5 - 2284/15. Let d = u + 29/5. Solve -2/3*r**5 + 8/3*r**3 + 0*r**4 + 4/3 - d*r**2 - 2*r = 0 for r.
-2, -1, 1
Suppose 73 = 5*y - 32. Suppose -17 + y = m. Factor -2*i**m - 6*i**2 + 3*i**3 - 10*i**3 - i**3 + 0*i**3.
-2*i**2*(i + 1)*(i + 3)
Solve -95*v**3 + 8*v - 10*v - v**2 + 96*v**3 = 0 for v.
-1, 0, 2
Suppose 0 = -176*i + 167*i + 27. Determine s so that 3/2*s + 3/2*s**2 - i = 0.
-2, 1
Factor -1/2*w**3 - 10*w**2 - 56 - 46*w.
-(w + 2)*(w + 4)*(w + 14)/2
Let v(x) be the third derivative of -x**8/112 - 43*x**7/168 - 53*x**6/480 + 14*x**2 - 44. Let v(r) = 0. What is r?
-53/3, -1/4, 0
Let h(w) = -7*w**3 + 3*w**2 + 22*w + 4. Let u(n) = 17 - n**2 + 14 - n**3 - 32 + n. Let z(m) = -h(m) + 4*u(m). Factor z(g).
(g - 4)*(g + 1)*(3*g + 2)
Let t be ((-10)/4 + 1)*-2. Let q = 1343 + -1335. Determine i so that -8*i**t + q*i - 1 + 11*i**4 - 7*i**4 - 3 = 0.
-1, 1
Let b(w) be the third derivative of -w**8/112 - 43*w**7/70 - 699*w**6/40 - 5193*w**5/20 - 2025*w**4 - 5832*w**3 + 1917*w**2. Solve b(n) = 0 for n.
-12, -9, -1
Suppose n = -4*c + 12, -3*n + 2*c + 16 = -20. Let l be (n/(-16))/((-21)/48). Determine k, given that -l*k - 4/7*k**2 - 8/7 = 0.
-2, -1
Let u(m) = 137*m - 1367. Let p be u(10). Let o(v) be the first derivative of 11/4*v**4 + 1331/2*v**2 - 1/20*v**5 - 43 - 14641/4*v - 121/2*v**p. Factor o(r).
-(r - 11)**4/4
Let d(h) be the first derivative of 1/120*h**4 + 0*h**2 - 5 + 21*h - 1/12*h**3. Let c(m) be the first derivative of d(m). Factor c(j).
j*(j - 5)/10
Let z(y) = 2*y**2 - 51*y + 12. Let f(u) = -93*u + 28. Let o(r) = -r**2 + 95*r - 28. Let w(s) = 3*f(s) + 4*o(s). Let a(p) = -3*w(p) - 7*z(p). Factor a(i).
-2*i*(i - 27)
Factor -3858 + 3848 - 1835*j**2 + 742*j + 1103*j.
-5*(j - 1)*(367*j - 2)
Let k(n) = -n**2 - 9*n - 34. Let d be k(-26). Let j = d - -478. Factor 4/5*i + 0 + 4/5*i**3 + 8/5*i**j.
4*i*(i + 1)**2/5
Suppose -3*b + 9 = -30*x + 34*x, -4*b + 5*x = -12. Let c(k) be the first derivative of -13 - 2/11*k - 1/33*k**b + 3/22*k**2. Factor c(i).
-(i - 2)*(i - 1)/11
Let j = 583 - 348. Let c = 1178/5 - j. Factor 1/5*s**2 + c*s - 4/5.
(s - 1)*(s + 4)/5
Suppose 6*i - 8 = 2*i. Factor i*c - c**5 + 1159*c**4 - c**5 + 4*c**2 - 1163*c**4.
-2*c*(c - 1)*(c + 1)**3
Let b = 5 - 3. Factor b*c**2 + 6*c**2 - c**4 + c**2 + 9*c**2 - 17*c**3.
-c**2*(c - 1)*(c + 18)
Let w(c) = 8*c**4 + 27*c**3 + 1082*c**2 + 7458*c + 6410. Let j(b) = -3*b**4 + b**3 - 2*b**2 + 1. Let v(a) = -12*j(a) - 4*w(a). Factor v(y).
4*(y - 53)*(y + 1)*(y + 11)**2
Factor 59/4*p**2 - 43*p - 16 - 3/4*p**3.
-(p - 16)*(p - 4)*(3*p + 1)/4
Let k be ((-9)/15 - 0)/((-72)/240). Factor 54*w - 2199 + 2253 + k*w**3 + 5*w**2 + 13*w**2.
2*(w + 3)**3
Let w(k) = -k**3 + 8*k**2 + 9*k - 5. Let n be w(9). Let q = n + 7. Factor 45*y**q - 27 + 174 + 30*y**3 - 33*y**3 - 189*y.
-3*(y - 7)**2*(y - 1)
Suppose 34 = 16*n + 2. Find x, given that 0*x + 44*x**2 - 22*x**n - 12*x + 14 - 24*x**2 = 0.
-7, 1
Let d = -595 + 596. Suppose 22 - 76*s + 4*s**3 - 6*s**3 + d - 7 + 53*s**2 + 9 = 0. Calculate s.
1/2, 1, 25
Let u(b) = b**2 - 13*b + 52. Let h be u(7). Let t be (-2)/h*(-9 - -8). Let -t*s**2 + 3/5*s + 4/5 = 0. Calculate s.
-1, 4
Factor -1/3*z**4 + 5*z**3 + 0 - 21*z**2 + 27*z.
-z*(z - 9)*(z - 3)**2/3
Let b(n) = 2*n**2 - 18*n**2 - 8*n**3 + 6 + 11*n**2 - 6*n. Let k(i) = -15*i**3 - 9*i**2 - 9*i + 12. Let x(r) = 9*b(r) - 5*k(r). Find l, given that x(l) = 0.
-1, 2
Let a = -724608 - -5072260/7. Solve 2/7*h**5 + 0 + 16/7*h - 18/7*h**3 + a*h**4 - 4/7*h**2 = 0 for h.
-4, -1, 0, 1, 2
Solve -2068 - 132 - 42*o**2 - 43*o**2 + 2205*o + 80*o**2 = 0 for o.
1, 440
Let c = 8619/9653 - 44/49. Let s = 206/1773 + c. Factor -2/9*a + 0 + 1/9*a**2 - s*a**4 + 2/9*a**3.
-a*(a - 2)*(a - 1)*(a + 1)/9
Suppose 241 = 5*u + 4*s, 11*u - 9*u - 2*s = 100. Let r be 4/(-14)*u/(-28). Factor 1/2*m**2 + r + m.
(m + 1)**2/2
Let d(n) be the second derivative of 1/180*n**6 - 1/24*n**4 - 3 - 1/60*n**5 + 0*n**2 + 0*n**3 + 11*n. Factor d(v).
v**2*(v - 3)*(v + 1)/6
Let f(u) = -28*u**2 + 2034*u - 32252. Let a(t) = 110*t**2 - 8137*t + 129005. Let d(z) = -2*a(z) - 9*f(z). Factor d(v).
2*(4*v - 127)**2
Let m(z) = -4*z**2 - 44*z - 38. Suppose 16*k = 38*k + 22. Let j(x) = -x**2 - x - 2. Let i(d) = k*j(d) - m(d). Solve i(b) = 0 for b.
-8, -1
Suppose 60*i = 126 - 6. Let a(v) be the first derivative of 8 + 1/4*v**4 + 16*v + 12*v**i + 3*v**3. Suppose a(w) = 0. Calculate w.
-4, -1
Let q be -7 + (-17)/((-170)/48) - -8. Let c(b) be the first derivative of 32/5*b + 6 - 72/5*b**2 - 36/25*b**5 + q*b**4 - 8/5*b**3. Determine h so that c(h) = 0.
-1, 2/9, 2
Suppose -4*n + 0*n = 2*f + 20, -1 = 3*n + 5*f. Let a(x) = 10*x**2 + 148*x - 144. Let p(z) = 7*z**2 + 99*z - 96. Let r(h) = n*p(h) + 5*a(h). Factor r(m).
(m - 1)*(m + 48)
Suppose 4*x - 28 = -16, -3*d - 3*x + 2574 = 0. Let t = d + -2563/3. Solve 1/3*f**3 + 0*f - t*f**2 + 0 = 0 for f.
0, 2
Let g = 5693/30 - 947/5. Let z(i) be the second derivative of 0 + 2/27*i**3 + 0*i**2 + 5/18*i**4 + 29/135*i**6 + 1/21*i**7 + g*i**5 + 10*i. Factor z(h).
2*h*(h + 1)**3*(9*h + 2)/9
Let v(d) be the second derivative of d**5/50 + 19*d**4/15 - 13*d**3/5 + 159*d. Factor v(k).
2*k*(k - 1)*(k + 39)/5
Suppose -u - h + 4 = 0, 0 = 4*u - 4*h + 3 - 11. Solve -312*k**2 - 834*k**4 + 12*k**2 + 819*k**4 - 160*k**u + 5*k**5 - 160*k = 0 for k.
-2, -1, 0, 8
Let q = -4848 + 4853. Let l(d) be the first derivative of -2/3*d**3 + 0*d + 5/4*d**4 - 5 + 11/5*d**q + 0*d**2 + 2/3*d**6. Solve l(c) = 0 for c.
-2, -1, 0, 1/4
Let i(j) be the first derivative of -2*j**6/3 + 1008*j**5/5 - 21168*j**4 + 790272*j**3 - 6836. Factor i(s).
-4*s**2*(s - 84)**3
Let q(d) = -5*d - 56. Let p be q(0). Let k be p/(-224)*(1 - 0). Factor -1/2 - k*a + 1/4*a**2.
(a - 2)*(a + 1)/4
Let l(x) be the third derivative of 0*x + 16/3*x**3 - 1/180*x**5 + 0*x**4 + 1/540*x**6 + 3 - x**2. Let m(r) be the first derivative of l(r). Factor m(p).
2*p*(p - 1)/3
Let x(k) be the third derivative of -k**7/1680 - k**6/64 - 11*k**5/160 + 115*k**4/192 - 11*k**3/8 - 358*k**2. Determine g so that x(g) = 0.
-11, -6, 1
Factor 16/5 + 38/5*h**2 - 6/5*h**3 - 12*h.
-2*(h - 4)*(h - 2)*(3*h - 1)/5
Let x be (-28827)/(-765) - 35 - ((-19)/17 + 1). Factor x - 2/15*m**2 - 8/15*m.
-2*(m - 3)*(m + 7)/15
Factor 3/2*u - 5/2*u**2 - 3/2*u**3 + 1/2*u**4 + 2.
(u - 4)*(u - 1)*(u + 1)**2/2
Let v be (-32)/32 + 1 + 36. Find d, given that -30*d**4 + v*d**3 + 32*d**4 + 19 + 160*d**2 - 36*d - 181 = 0.
-9, -1, 1
Let q(l) be the third derivative of 2 - 10*l**5 - 1/4*l**6 + 0*l**3 - 2*l**2 - 500/3*l**4 + 0*l - 1/420*l**7. Factor q(g).
-g*(g + 20)**3/2
Let g be 0 + -1 + 12 + (-3 - 0). Let l be 6 - (91/28 + (-2)/g). Determine i so that 135*i**l + 12*i - 1 - 84*i**2 + 3 - 2 = 0.
0, 2/9, 2/5
Let v be ((-8)/(-3) + -2)*(-29 + (-13850)/(-400)). Find z, given that -35/4*z**3 + 11*z - 2 - v*z**5 - 27/2*z**2 + 14*z**4 = 0.
-1, 1/3, 2/5, 2
Let n(o) be the first derivative of 54/7*o**2 - 2/21*o**3 - 1458/7*o - 86. Find f, given that n(f) = 0.
27
Let t be (-11 + 9/108*134)*2. Determine q, given that -2/3 - q - t*q**2 = 0.
-2, -1
Suppose t = -4*t + 245. What is x in 16*x + 11*x**3 + t*x**2 - 64 - 13*x**2 - 40*x**4 + 41*x**4 = 0?
-4, 1
Let j be (-36)/30*(-10)/(-4). Let f = 5 + j. Factor -128 - 4*x**f + 128 + 8*x.
-4*x*(x - 2)
Let j be ((-2)/(-85))/(19406/164951). Factor -12/5*r**4 - 2*r**2 + j*r**5 + 0*r + 0 + 21/5*r**3.
r**2*(r - 10)*(r - 1)**2/5
Let i = -150 + 154. Determine j so that -3*