k + 41)/3
Suppose -y = 30*y. Let c(l) be the third derivative of -4/27*l**4 + y*l - 32/27*l**3 - 1/135*l**5 - 13*l**2 + 0. What is w in c(w) = 0?
-4
Let t(z) be the third derivative of -z**6/180 - 28*z**5/15 - 559*z**4/3 + 29584*z**3/9 + 73*z**2 + 19. Solve t(u) = 0 for u.
-86, 4
Let v(s) be the third derivative of 784*s**5/15 - 140*s**4/9 + 50*s**3/27 - 4*s**2 - 157. What is f in v(f) = 0?
5/84
Let a = -258 - -250. Let b be (3/39)/((-18)/a - 2). Factor 0 - b*v - 2/13*v**2.
-2*v*(v + 2)/13
Suppose 0 = 2*j - 5*o - 15, -4*j = -3*j - 4*o - 9. Let -j*c**2 + 251*c - 3039 - 61*c + 1234 = 0. What is c?
19
Let o(w) = -8 + 16*w**2 - 8 + 4. Let s(u) = -u**2 + u + 1. Let m = 2357 + -2345. Let t(a) = m*s(a) + o(a). Let t(g) = 0. What is g?
-3, 0
Factor -1370*s - 66*s**2 - 1349*s + 14*s**3 + 2755*s + 16.
2*(s - 4)*(s - 1)*(7*s + 2)
Factor 17*o**4 + 95080*o**2 - 12*o**4 - 41991*o - 301049*o - 1360*o**3 - 1077360.
5*(o - 134)**2*(o - 6)*(o + 2)
Suppose -3*u + 2*q - 4*q + 279 = 0, 0 = -4*q. Find g such that 0*g**4 + 69*g**2 - u*g + 53*g + 15*g**4 + 3*g**5 + 16*g - 63*g**3 = 0.
-8, 0, 1
Let -68/13*b**3 + 2/13*b**5 - 48/13*b**2 + 0 - 18/13*b**4 + 0*b = 0. Calculate b.
-2, -1, 0, 12
Determine y so that -4*y**4 + 104*y**3 + 3*y - 1965699*y**2 - 3*y + 1965599*y**2 = 0.
0, 1, 25
Let o(m) be the first derivative of 2*m**5/135 - 5*m**4/108 + m**3/27 - 19*m**2/2 - 3*m + 63. Let a(y) be the second derivative of o(y). Factor a(x).
2*(x - 1)*(4*x - 1)/9
Let j be (14/4 - -4) + (-3)/(-6). Let u = 45 - 21. Suppose 13*m**2 + 3*m**3 + 36*m + 0*m**2 + u + j*m**2 - 3*m**2 = 0. Calculate m.
-2
Let r = 51222 - 51210. Determine i, given that 3/2*i**3 + 63/2*i + 27 + r*i**2 = 0.
-3, -2
Let 0 + 336/5*v + 3*v**4 - 444/5*v**3 + 132*v**2 = 0. What is v?
-2/5, 0, 2, 28
Suppose 0 = -0*z - 4*z - 600. Let q be (4/(-10))/(12/z). Factor q + 39*u**3 + 80*u**4 + 24*u - 11*u + 165*u**2 + 161*u**3 + 37*u.
5*(u + 1)**2*(4*u + 1)**2
Let l(f) = 3*f + 15. Let g be l(-4). Factor -g*c**2 - 5 + c + 17 + 11*c + 3.
-3*(c - 5)*(c + 1)
Let i(m) be the third derivative of -m**8/1512 - m**7/189 - m**6/270 + 7*m**5/135 + m**4/36 - m**3/3 + m**2 - 284*m. Suppose i(b) = 0. What is b?
-3, -1, 1
Let d(k) = -k**3 + 11*k**2 + 23*k - 52. Let h be d(12). Suppose 39*t - 95*t**2 - 87*t - t**2 + 40*t**3 - 2*t**5 - h*t + 6*t**4 = 0. What is t?
-4, -1, 0, 4
Let m = -289 + 283. Let s be (-39)/m + -1 + 2/(-2). Let -6*j - s*j**2 - 3/2 = 0. Calculate j.
-1, -1/3
Find z such that 310/7*z - 2/7*z**2 + 628/7 = 0.
-2, 157
Determine l, given that -1323*l + 11/3*l**5 + 73*l**4 + 343/3 + 1366/3*l**3 + 2030/3*l**2 = 0.
-7, 1/11, 1
Let q(o) be the first derivative of 4*o**5/5 + 14*o**4 + 48*o**3 + 68*o**2 + 44*o + 699. Factor q(f).
4*(f + 1)**3*(f + 11)
Solve 1/8*i**3 + 429/4*i + 289/8*i**2 + 0 = 0.
-286, -3, 0
Let t(s) be the third derivative of -s**8/112 + 12*s**7/35 + 17*s**6/5 + 127*s**5/10 + 201*s**4/8 + 29*s**3 + 5*s**2 + 434*s. Determine m so that t(m) = 0.
-2, -1, 29
Let p(j) = -2*j**3 - 76*j**2 + 146*j - 38. Let w(g) = -2*g**3 - 74*g**2 + 146*g - 50. Let x(c) = -4*p(c) + 6*w(c). Factor x(b).
-4*(b - 1)**2*(b + 37)
Let l be -10*2/(-10)*-1 - -6. Let a(r) be the second derivative of -17*r - 1/12*r**l + 0*r**2 - 1/80*r**5 + 0 - 1/8*r**3. Determine p, given that a(p) = 0.
-3, -1, 0
Suppose 0 = -7*d + 13 + 1. Solve 35 - 113*q**d + 213*q**2 - 140*q**2 + 30*q - 30*q**3 + 5*q**4 = 0 for q.
-1, 1, 7
Let h(l) = 3*l**3 + 10*l**2 + 190*l + 1028. Let s(u) = -5*u**3 - 15*u**2 - 189*u - 1030. Let x(f) = -3*h(f) - 2*s(f). Let x(i) = 0. Calculate i.
-8, 16
Let x be (44/(-77) - 12/(-21)) + 3. Factor 2*b**2 + 18*b**2 - 36 - 7*b**2 - 10*b**x - 4*b**2 + 2*b**4 + 42*b - 7*b**2.
2*(b - 3)**2*(b - 1)*(b + 2)
Let l(n) be the first derivative of 15*n**2 - 866 + 0*n**3 + 844 + n**3. Factor l(v).
3*v*(v + 10)
Let v(l) be the second derivative of l**6/15 + l**5/2 - 11*l**4/6 - 11*l**3 - 18*l**2 + 1562*l. Let v(x) = 0. What is x?
-6, -1, 3
Let q(j) be the third derivative of j**6/1260 + 17*j**5/45 + 235*j**4/63 + 104*j**3/7 - 9*j**2 - 29. Factor q(k).
2*(k + 2)**2*(k + 234)/21
Factor 60 + 5*r**3 + 22*r**3 + 4*r**3 + 9*r - 11*r**3 - 4*r - 85*r**2.
5*(r - 4)*(r - 1)*(4*r + 3)
Suppose 6 = 112*r - 109*r. Determine c so that 30*c + 31 + 37 - 6*c**2 + 5*c**r - c**2 = 0.
-2, 17
Factor -10/3*r**2 + 1/6*r**3 + 89/6*r + 55/3.
(r - 11)*(r - 10)*(r + 1)/6
Let h(y) be the first derivative of -2*y**3/21 - 509*y**2/7 + 1020*y/7 - 114. Factor h(q).
-2*(q - 1)*(q + 510)/7
Let k = 24/1097 - -4268/5485. Factor -1/5*g**5 + 2/5*g**2 + 0*g**4 + k*g**3 - 3/5*g - 2/5.
-(g - 2)*(g - 1)*(g + 1)**3/5
Let j(n) be the first derivative of -n**5/5 + 51*n**4/4 - 314*n**3/3 + 132*n**2 - 6878. Factor j(m).
-m*(m - 44)*(m - 6)*(m - 1)
Let b = 13268 - 13265. Factor -3/4*w + 3/4*w**b + 3/4*w**2 - 3/4.
3*(w - 1)*(w + 1)**2/4
Let d(t) be the first derivative of 1/18*t**3 + 1/12*t**2 - 83 + 0*t. Solve d(j) = 0 for j.
-1, 0
Suppose -4*g - 5*d = -2*g - 24, 4*d = -2*g + 20. Let i be ((-61)/(-10) - 6)*54. Factor 18/5*n + i + 3/5*n**g.
3*(n + 3)**2/5
Let j be (11 + (-3330)/300)*(-10)/4. Let n**3 + j*n**4 + 3/2*n**2 + n + 1/4 = 0. What is n?
-1
Let d(x) be the first derivative of x**5/25 - 13*x**4/20 + 4*x**3 - 56*x**2/5 + 64*x/5 - 2989. Factor d(b).
(b - 4)**3*(b - 1)/5
Let l be 19*(-4704)/(-2736) + -32. Factor 11858/3 + l*f**2 + 308/3*f.
2*(f + 77)**2/3
Let w(d) = -469*d + 2816. Let z be w(6). Let 12/5 - 22/5*n - 24/5*n**2 + z*n**3 = 0. What is n?
-1, 2/5, 3
Factor -112/3 - 18*l + 1/3*l**2.
(l - 56)*(l + 2)/3
Suppose -3*q = 4*u + 12, -3*u + 30 - 42 = 3*q. Suppose -18*y + 21 + 33 = u. Factor 16*x**4 + 0*x + 0 + 4/3*x**2 - 28/3*x**y.
4*x**2*(3*x - 1)*(4*x - 1)/3
Let a = 45793 - 686843/15. Determine k, given that a - 2/15*k**2 + 10/3*k = 0.
-1, 26
Let w(c) be the third derivative of c**6/24 - c**5/4 + 505*c**2. Factor w(r).
5*r**2*(r - 3)
Let s(p) = -4*p**2 + 44*p + 3. Let i be s(11). Suppose o = -4*v - 0*o + 5, -i*v - 4*o = 6. Factor 3/4*a**3 - 7/2*a**v + 5*a - 2.
(a - 2)**2*(3*a - 2)/4
Let f be 1144/10868 + 396/570. Factor 12/5*l - f - 11/5*l**2 + 1/5*l**3 - 1/5*l**5 + 3/5*l**4.
-(l - 2)*(l - 1)**3*(l + 2)/5
Let b(g) be the first derivative of 0*g + 2/15*g**3 + 59/5*g**2 + 92. Let b(i) = 0. What is i?
-59, 0
Factor 177 - 353/2*v - 1/2*v**2.
-(v - 1)*(v + 354)/2
Let y = -202051 - -606161/3. What is q in 16/3*q - 2/3*q**4 + y*q**2 + 0 - 4/3*q**3 = 0?
-2, 0, 2
Let w be 440 + (12 + -12)/(1 + 0). What is y in 50*y**2 - 12100 - 105*y**2 + 51*y**2 - w*y = 0?
-55
Let l = -288615 + 288615. Factor 1/3*d**4 + l - 10/3*d - 19/3*d**2 - 8/3*d**3.
d*(d - 10)*(d + 1)**2/3
Let o(m) be the third derivative of m**6/180 + 2*m**5/15 + 5*m**4/4 - m**3/3 - 15*m**2 - 4*m. Let x(h) be the first derivative of o(h). Solve x(j) = 0.
-5, -3
Let h(f) be the second derivative of 0 + 5/2*f**2 + 2/9*f**3 - 2/135*f**5 - 1/54*f**4 + 7*f. Let k(d) be the first derivative of h(d). Solve k(i) = 0 for i.
-3/2, 1
Let r(w) be the third derivative of 0 - 21*w**2 + 1/10*w**6 + 4/3*w**3 - 1/2*w**4 + 0*w - 1/15*w**5 - 2/105*w**7. Factor r(f).
-4*(f - 2)*(f - 1)**2*(f + 1)
Let k(i) = -i**3 + 24*i**2 + 25*i + 2. Let x be k(25). Let p be -6 + (-795)/(-117) + x/(-6). Factor 16/13*c - 8/13 - p*c**2.
-2*(c - 2)*(3*c - 2)/13
Let p = 1477 + -1509. Let j be (-2)/(-18)*(-144)/p. Suppose i + 1/2 + j*i**2 = 0. Calculate i.
-1
Let o = 758 + -756. Factor -261*n + 2364*n**2 + 192*n**o + 4 + 73*n - 347*n**2.
(47*n - 2)**2
Let x = -59 + 61. Suppose -19 + 9 = -x*w. Factor 315*u**4 + 2*u**5 - u**3 + w*u**3 - 309*u**4.
2*u**3*(u + 1)*(u + 2)
Factor -20/13*v**4 - 64/13 - 160/13*v - 2/13*v**5 - 80/13*v**3 - 160/13*v**2.
-2*(v + 2)**5/13
Let p(u) be the second derivative of 0*u**3 + 1/21*u**7 + 0*u**6 - 1/3*u**4 - 2*u + 0*u**2 - 3/10*u**5 + 42. Find c, given that p(c) = 0.
-1, 0, 2
Factor -1672/13 + 2/13*m**3 - 426/13*m**2 + 1680/13*m.
2*(m - 209)*(m - 2)**2/13
Suppose -8*g + 14 = -2. Let i = 273 - 273. Factor i - 8/5*q - 2/5*q**g.
-2*q*(q + 4)/5
Suppose 0 = r + 2*x - 6, 0 = 3*r - 0*r + 5*x - 16. Suppose l + 4*d = -12, d - 15 = 4*d. Determine y, given that -48*y**3 - 20*y**r - 8*y**3 + l*y**3 + 8*y = 0.
-2/3, 0, 1/4
Let y(w) = -6*w**2 - 12*w. Let x be (-132)/6*3/2. Let z = x - -38. Let u(t) = 13*t**2 + 24*t. Let c(s) = z*y(s) + 2*u(s). Factor c(q).
-4*q*(q + 3)
