*4/48 - 95*s**3/12 - 15*s**2 + 2*s + 3487. What is h in f(h) = 0?
-3, -2, -1/5, 1/4, 4
Let a(i) = -3*i**3 - 9*i**2 + i. Let h be a(-3). Let j be 16/h*45/750*-15. Factor -4*f**3 + 0*f - j*f**2 + 0 - 4/5*f**4.
-4*f**2*(f + 2)*(f + 3)/5
Let m = 55491134/38313 + -15932/11. Let g = 9290/3483 + m. Let 10/3*w**2 + 2*w**3 - 8/3 - g*w = 0. Calculate w.
-2, -2/3, 1
Let s = -1014 + 10141/10. Let g(i) be the first derivative of -s*i**2 - 29 + 0*i - 2/15*i**3 - 1/20*i**4. Suppose g(m) = 0. What is m?
-1, 0
Let o(q) be the third derivative of q**8/448 - q**7/20 + 57*q**6/160 - 9*q**5/10 + 33*q**2 + 45*q + 1. Let o(w) = 0. What is w?
0, 3, 8
Let z(a) be the third derivative of -3*a**8/616 + 29*a**7/385 - 83*a**6/220 + 59*a**5/110 + 15*a**4/22 + 2*a**2 - 651. Solve z(v) = 0.
-1/3, 0, 2, 3, 5
Suppose -97*t + 567 = 92*t. Let i(v) be the third derivative of 1/25*v**5 - 1/150*v**6 + 0*v**t + 0 + 0*v + 0*v**4 - 21*v**2. Factor i(z).
-4*z**2*(z - 3)/5
Suppose 4*f - 178 + 2402 = -4*g, g + 5 = 0. Let m = -551 - f. Determine h, given that m + 2/7*h + 8/7*h**2 = 0.
-1/4, 0
Let x(t) be the second derivative of t**4/6 + 473*t**3/4 + 531*t**2/2 - 1378*t. Factor x(w).
(w + 354)*(4*w + 3)/2
Let g(u) be the third derivative of 22*u**7/735 + 43*u**6/140 + 6*u**5/7 - 9*u**4/28 - 37*u**2 + 7*u. Solve g(m) = 0 for m.
-3, 0, 3/22
Let g be (-9)/(-54) + 246/(-1440). Let t = g - -107/80. Factor t*v**3 + 8*v**2 + 16*v + 32/3.
4*(v + 2)**3/3
Let r be (-3)/(-45)*-3*4539/9. Let x = r + 101. What is t in -2/15 - 2/5*t - 2/5*t**2 - x*t**3 = 0?
-1
Let n(a) = -14*a**2 + 18*a + 10. Let m(w) = -6*w + 5*w**2 + 2 + w**2 - 5 - 2*w**2. Let c(z) = 20*m(z) + 6*n(z). Factor c(s).
-4*s*(s + 3)
Let k = 14 - 14. Suppose x = -5*w - x + 17, k = -2*w + 2*x + 4. Factor -40 + 93 + 23*d - w*d**3 + 14*d**2 - 47.
-(d - 6)*(d + 1)*(3*d + 1)
Let l(f) be the first derivative of 75/2*f**2 + f**3 + 72*f + 266. Suppose l(k) = 0. What is k?
-24, -1
Let k(s) be the second derivative of -s**6/40 + 13*s**5/80 + s**4/16 - 11*s**3/8 + 5*s**2/2 + 355*s - 2. Suppose k(a) = 0. What is a?
-5/3, 1, 4
Let h(p) = -p + 49 - 7 - p + 0*p. Let r be h(16). Factor -10*m**2 - 2*m**2 + 19*m**3 - 17*m**3 + r*m.
2*m*(m - 5)*(m - 1)
Let z(c) = c**2 - 9*c + 4. Let y be z(9). Suppose 3*n + 14 - 4*n**2 - 4*n**2 - y*n**3 - 6 + n = 0. What is n?
-2, -1, 1
Suppose -194/5*l + 39 - 1/5*l**2 = 0. What is l?
-195, 1
Suppose 3*a = -p + 948, -10*p + 8*p + 1900 = 5*a. Factor -172 + 0*n**4 + p*n + 493 + 60*n**3 + 3*n**4 + 447 + 396*n**2.
3*(n + 2)**2*(n + 8)**2
Factor 1/6*s**5 - 1/6*s**2 + 1/3*s + 1/6*s**4 - 1/2*s**3 + 0.
s*(s - 1)**2*(s + 1)*(s + 2)/6
Let h be (-3)/24 - (3 - (-14)/(-4)) - 124/992. Solve -841 - 29*l - h*l**2 = 0 for l.
-58
Solve -10442*f - 3*f**2 + 0*f**2 + 5495*f + 5376*f - 2070 = 0 for f.
5, 138
Let n(p) = -3*p**3 - 3*p**2 + 8*p + 10. Let u be n(-1). Suppose 6*x**2 - 10*x**4 + 7*x**u + 2*x - 7*x**2 - 4*x**3 - 10 + 2*x**5 + 14*x**2 = 0. What is x?
-1, 1, 5
Let c(k) = -220*k**4 - 428*k**3 - 216*k**2 - 4*k - 8. Let b(z) = z**5 + z**4 + 2*z**3 - z - 2. Let d(m) = 4*b(m) - c(m). Find h such that d(h) = 0.
-54, -1, 0
Let -660 - 391/3*l + 1/3*l**2 = 0. Calculate l.
-5, 396
Let k(r) = -2*r**3 + 2657 + r + r**3 - 2657. Let s(q) = q**3 - 2*q**2 - q + 2. Let x(f) = 2*k(f) + s(f). What is y in x(y) = 0?
-2, -1, 1
Let p(z) be the first derivative of -z**3 - 2220*z**2 - 1642800*z - 9523. Factor p(d).
-3*(d + 740)**2
Let f(d) be the second derivative of d**5/120 - d**4/24 + d**3/12 - 25*d**2/2 - 35*d. Let p(k) be the first derivative of f(k). Factor p(r).
(r - 1)**2/2
Suppose -2078 + 0*y**2 + 4*y**2 - 892*y + 1182 = 0. Calculate y.
-1, 224
Let c(k) = 9*k**3 + 33*k**2 + 74*k - 106. Let j(z) = -21*z**3 - 66*z**2 - 149*z + 211. Suppose 0 = -13*o - 27 + 1. Let q(g) = o*j(g) - 5*c(g). Factor q(a).
-3*(a - 1)*(a + 6)**2
Determine r, given that 703*r - 45*r**2 - 251*r + 1683*r - 5 - 895 - 90*r = 0.
4/9, 45
Let w(x) = 80*x**3 + 43015*x**2 - 85885*x + 43000. Let k(v) = -9*v**3 - 4780*v**2 + 9543*v - 4778. Let g(b) = 35*k(b) + 4*w(b). Solve g(c) = 0 for c.
-954, 1
Let d(c) be the first derivative of 2*c**5/35 - 3*c**4/7 + 8*c**3/21 + 24*c**2/7 - 64*c/7 - 6470. Factor d(r).
2*(r - 4)*(r - 2)**2*(r + 2)/7
Let y(m) = 10*m**2 - 27*m - 7. Let t be -4*1*(-6 + 162/24). Let p(n) = 11*n**2 - 25*n - 6. Let u(w) = t*p(w) + 4*y(w). Solve u(x) = 0.
-2/7, 5
Let w(u) = 62*u**3 - 180*u**3 + 58*u**3 + 3 - 67*u**2 + 61*u**3. Let i be w(67). Factor -1/6*y**i + 13/6*y**2 - 23/6*y + 11/6.
-(y - 11)*(y - 1)**2/6
Let y = -27433 - -12646608/461. Let b = 3217/922 - y. What is n in b*n + 1/2*n**2 + 0 = 0?
-7, 0
Let b(k) = -7*k**3 - 13*k**2 - 35*k - 9. Let p be 3/(12/40)*3/(-6). Let y(r) = 3*r**3 + 7*r**2 + 17*r + 5. Let s(l) = p*y(l) - 2*b(l). Solve s(t) = 0 for t.
-7, -1
Let t(a) be the third derivative of -a**5/72 - 19*a**4/48 - 2730*a**2. What is w in t(w) = 0?
-57/5, 0
Factor -3*l**3 + 3057/4 - 12231/4*l + 3060*l**2.
-3*(l - 1019)*(2*l - 1)**2/4
Let q be 2/((3*(-12)/108)/((-1)/3)). Find f, given that 39/5*f + 33/5*f**q + 6/5 = 0.
-1, -2/11
Suppose -2452/3*o - 4/3*o**2 - 816 = 0. Calculate o.
-612, -1
Let c(l) = -l**3 + l - 1. Let j(u) = -2*u**3 - 14*u**2 + 17*u - 19. Let w(a) = 3*c(a) - j(a). Let v be w(13). Factor -10*i + 4*i - 12*i**2 + 9*i + v*i**3 + 9*i.
3*i*(i - 2)**2
Let s(u) be the third derivative of -u**8/2016 + 2*u**7/315 + u**6/24 - 10*u**5/9 + 875*u**4/144 + 590*u**2 - 1. Factor s(d).
-d*(d - 5)**3*(d + 7)/6
Let m be 2/(-11) + ((-1092)/(-77) - 14). Suppose m = 5*n - 43 + 33. Suppose 6*v**4 - 15/2*v - 3/2 + 15/2*v**3 - 9/2*v**n = 0. What is v?
-1, -1/4, 1
Factor 208/15*u - 38/15*u**2 + 2/15*u**3 - 352/15.
2*(u - 11)*(u - 4)**2/15
Let u(k) be the third derivative of k**6/120 - 7*k**5/12 + 37*k**4/3 - 230*k**3/3 - 265*k**2 - 16*k. Find i, given that u(i) = 0.
2, 10, 23
Let o(m) = 2*m**3 + m - 3. Let l(z) = -35*z**3 + 75*z**2 + 215*z + 225. Let f(p) = -l(p) - 20*o(p). Factor f(s).
-5*(s + 1)*(s + 3)*(s + 11)
Determine i, given that 212*i - 150 - 18*i - 42*i**2 - 465*i**3 + 463*i**3 = 0.
-25, 1, 3
Let r(d) be the first derivative of -d**6/780 - d**5/195 + d**4/156 + 2*d**3/39 - 3*d**2 - d - 45. Let o(j) be the second derivative of r(j). Factor o(q).
-2*(q - 1)*(q + 1)*(q + 2)/13
Suppose -3*f + 5*j + 33 - 11 = 0, -16 = -2*f + 4*j. Solve 55*u + 15*u**3 - 78*u**2 + 33 + 171*u**f + 8*u**3 - 173*u**4 - 9 + 26 = 0 for u.
-1/2, 2, 5
Let 251*r**2 - 90*r**3 + 12 - 794*r**2 + 35*r - r**4 + 229*r**2 + 9*r**4 + 239*r**2 = 0. Calculate r.
-1, -1/4, 1/2, 12
Suppose -7*r + 12 + 16 = 0. Suppose 3*w = -m - r, 8 = -m - 4*w - w. Solve f - f**m - f - 5*f + 6*f**2 = 0 for f.
0, 1
Let w(j) be the third derivative of j**8/112 - 6*j**7/35 + j**6/5 + 19*j**5/10 - 57*j**4/8 + 11*j**3 - 874*j**2. Factor w(b).
3*(b - 11)*(b - 1)**3*(b + 2)
Let n be -21 + 14 + 8562/(-10). Let s = 864 + n. Find t, given that s - 4/5*t - 4/5*t**2 + 4/5*t**3 = 0.
-1, 1
Let w(l) be the first derivative of 14*l**3/3 - 27*l**2/2 + 33*l + 84. Let r(g) = 68*g**2 - 136*g + 164. Let a(h) = 5*r(h) - 24*w(h). Factor a(z).
4*(z - 7)*(z - 1)
Let a(z) be the second derivative of -z**4/102 + 179*z**3/51 + 180*z**2/17 + 849*z. Find s, given that a(s) = 0.
-1, 180
Suppose 6*f - 44 + 194 = 0. Let p be -5 - 270/f - 3. Let -2/5*t**2 + p*t - 12/5 = 0. What is t?
1, 6
Let j(t) be the first derivative of -t**3 - 138*t**2 - 2460*t - 7764. Factor j(w).
-3*(w + 10)*(w + 82)
Let h(m) = -m**3 + m + 1. Let p(w) = 23*w - 68. Let v be p(3). Let u(t) = 7*t**3 + 28*t**2 - 35*t - 3. Let i(j) = v*u(j) + 3*h(j). Find o, given that i(o) = 0.
-8, 0, 1
Let y(a) be the third derivative of -a**8/728 - 29*a**7/273 - 3*a**6/52 + 29*a**5/78 + 4*a**4/13 + 4*a**2 - 53. Determine s so that y(s) = 0.
-48, -1, -1/3, 0, 1
Factor 106*u**3 - 1176 - 54*u**3 - 55*u**3 - 66*u**2 - 483*u.
-3*(u + 7)**2*(u + 8)
Let s(a) be the first derivative of -a**5/5 + 3*a**4/2 + 33*a**3 + 88*a**2 + 84*a - 859. Suppose s(o) = 0. Calculate o.
-6, -1, 14
Let r(v) be the first derivative of -v**5/240 + v**3/6 - 191*v**2/2 - 173. Let z(n) be the second derivative of r(n). Let z(j) = 0. What is j?
-2, 2
Let o(i) be the first derivative of -3/8*i**4 - 72*i**3 + 71 - 5184*i**2 - 165888*i. Suppose o(c) = 0. Calculate c.
-48
Let w = -25431 + 25436. Factor 6/7 + 23/7*n + 8/7*n**4 + 24/7*n**3 +