 x(-8). Let 20 - 16*z**3 + 16*z - 228*z**2 + 436*z**2 + j*z**4 - 232*z**2 = 0. What is z?
-1, 1, 5
Let n = 35 - 43. Let r(k) = 3*k + 29. Let f be r(n). Factor 26*x + x**4 + 4*x**3 + 26*x - 77*x + f*x**2 + 27*x.
x*(x + 1)**2*(x + 2)
Let l(j) = -2*j**3 - 9*j**2 - 5*j. Let u = 133 + -148. Let g(k) = k**3 + 4*k**2 + 2*k. Let n(x) = u*g(x) - 6*l(x). What is m in n(m) = 0?
-2, 0
Let t(k) be the second derivative of -9*k**2 + 17/2*k**3 - 1/10*k**6 - 20 + 21/20*k**5 + 3*k - 17/4*k**4. Factor t(q).
-3*(q - 3)*(q - 2)*(q - 1)**2
Let o(q) be the first derivative of 2*q**3/27 + 380*q**2/9 + 72200*q/9 + 697. Factor o(i).
2*(i + 190)**2/9
Suppose -2*n = -2*u - 8, 5*u + 3*n - 16 = -n. Suppose 3*b - d - 2*d - 18 = u, 0 = -5*b - 2*d + 2. Find k such that -1 + k**2 + 6*k**b + 4*k**3 + 5*k - 3*k = 0.
-1, 1/4
Let y(j) be the first derivative of -2*j**5/55 - 5*j**4/11 - 14*j**3/11 + 4*j**2/11 + 56*j/11 - 5840. Determine t, given that y(t) = 0.
-7, -2, 1
Find o such that 2/11*o**3 - 722/11*o**2 + 720/11*o + 0 = 0.
0, 1, 360
Suppose 0 = 5*n - 3*s + 2, -6*s = -3*n - s - 14. What is o in 32 - 20 + 10*o**n + 5*o**3 - 72 - 55*o = 0?
-4, -1, 3
Let c(k) be the first derivative of -4*k**5/25 - 6*k**4/5 + 20*k**3/3 - 36*k**2/5 - 1742. Suppose c(m) = 0. Calculate m.
-9, 0, 1, 2
Let t be (-2)/(-2) + 1/7. Let y be 3 - (9/18)/((-28)/8 - -4). Suppose 8/7*c**y - 4/7*c**3 + 4/7*c - t = 0. What is c?
-1, 1, 2
Let x(d) be the third derivative of 1/20*d**5 - 4 - 1/4*d**4 - 5*d**2 - 1/240*d**6 + 2/3*d**3 + 0*d. Factor x(q).
-(q - 2)**3/2
Let n(k) = k**3 - 95*k**2 + 687*k + 786. Let o be n(87). Suppose 0*x**o + 2/5*x**4 + 0*x - 2*x**2 + 8/5 = 0. Calculate x.
-2, -1, 1, 2
Let m(x) = -3*x**4 + 47*x**3 - 31*x**2 + 5*x - 12. Let c(b) = 3*b**4 - 46*b**3 + 30*b**2 - 2*b + 10. Let s(y) = -6*c(y) - 5*m(y). Solve s(o) = 0.
-1/3, 0, 1, 13
Let s(z) = -z**3 + 79*z**2 + 27*z - 19378. Let x be s(76). Factor -8/15*d - 6 + 2/15*d**x.
2*(d - 9)*(d + 5)/15
Let p = 559/370 - 2/185. Let f be (-1275)/34 - -55 - 16. Determine j so that 9/2*j - 9/2*j**3 - f + p*j**2 = 0.
-1, 1/3, 1
Solve 3/4*y**4 + 120 + 705/4*y**2 + 1071/4*y + 117/4*y**3 = 0 for y.
-32, -5, -1
Solve l**2 + 3932 - 3*l**2 - 33*l - 2*l**2 - 3980 - 19*l = 0.
-12, -1
Let i be (-4)/(-36) + 34/18. Let -18*y**4 + 278*y**2 + 220*y**i + 104*y**3 + 26*y**4 + 1040*y + 800 = 0. Calculate y.
-4, -5/2
Let a(j) be the first derivative of -j**7/168 + j**2 + 4*j + 42. Let d(r) be the second derivative of a(r). Factor d(o).
-5*o**4/4
Let i = -681288211/217490 + 285113/91. Let g = i + -3/478. Factor -g*d**2 + 3/5 - 9/5*d**3 + 9/5*d.
-3*(d - 1)*(d + 1)*(3*d + 1)/5
Determine w so that -4/7*w**2 - 12027024/7 - 13872/7*w = 0.
-1734
Suppose 4*f = -4*l + 34 + 82, 56 = 2*l + 4*f. Let p be 4/(-34) - ((-82608)/1632 - -43). Suppose -25/2*i**4 + 55*i**2 - l*i + p*i**3 - 20 = 0. What is i?
-2, -2/5, 1, 2
Factor -130*z - 46*z**2 + 845 + 16*z**2 + 35*z**2.
5*(z - 13)**2
Let c(o) = o**2 - 1. Let b be c(1). Suppose b = -4*x - 4*z + 24, 5*x + 2*z - 20 = 1. Factor -5*h**4 + 0*h**x + 4*h**4 - h**4 - 2*h**3.
-2*h**3*(h + 1)
Suppose -43*b + 90 = -38*b. What is x in -b*x**4 - 6*x**2 + 38*x**4 + 12*x**3 - 24*x**5 - 2*x**2 = 0?
-2/3, 0, 1/2, 1
Let w(a) be the third derivative of 4*a**2 + 3*a + 1/20*a**5 + 0 + 578*a**3 + 17/2*a**4. Factor w(f).
3*(f + 34)**2
Suppose 58*n**2 - 11/2*n**4 + 1/2*n**5 + 48*n + 0 + 4*n**3 = 0. What is n?
-2, -1, 0, 6, 8
Let t(a) be the first derivative of a**6/8 + 15*a**5/4 + 201*a**4/16 + 19*a**3/4 - 51*a**2/2 - 33*a + 1830. Determine g, given that t(g) = 0.
-22, -2, -1, 1
Factor 193*j - 188*j - 5*j**3 - 258 - 1312 + 1570*j**2.
-5*(j - 314)*(j - 1)*(j + 1)
Let -369*h + 1054 - 51*h**3 - 279*h**2 - 156*h - 3*h**4 - 1348 = 0. What is h?
-7, -2, -1
Let x(k) be the first derivative of k**4/18 + 310*k**3/27 + 2369*k**2/3 + 17986*k - 6696. Let x(q) = 0. Calculate q.
-69, -17
Let r be (0 - 2/(-20))*(-45)/(-54). Let y(u) be the second derivative of -r*u**4 + 1/2*u**3 + 0 - 2*u + 2*u**2. Solve y(z) = 0.
-1, 4
Solve 1227/7 + 351*f + 1233/7*f**2 + 3/7*f**3 = 0.
-409, -1
Let s be ((-33)/(-15))/(((-272)/80)/(-17)). Let r(k) be the first derivative of -5/12*k**4 + 0*k - 1/3*k**5 + 0*k**2 + s + 0*k**3. Factor r(h).
-5*h**3*(h + 1)/3
Let d = -5 - -9. Solve 2 + 228*p - d - 234*p + 0*p**2 - 4*p**2 = 0.
-1, -1/2
Let l(a) = -a**2 + 15*a - 24. Let h be l(2). Factor -2352 - 204*z - 8*z**2 + 36*z + 5*z**h.
-3*(z + 28)**2
Suppose -506*z - 2 = -509*z + i, -28 = -4*z - 5*i. Suppose -3/8*m**z - 27/4*m - 12 = 0. What is m?
-16, -2
Factor -1/5*o**2 + 19/5*o - 14.
-(o - 14)*(o - 5)/5
Let l = 125 - 148. Let u = -4 - l. Factor -u*o - o**2 + 8*o + 12*o + 2*o**2.
o*(o + 1)
Suppose 4*g = -20*g + 192. Let r be 5/((-60)/g) + 14/3. Solve 0*y - 2/3*y**2 + 5/3*y**3 + 0 + 7/3*y**r = 0.
-1, 0, 2/7
Factor -5/3*d**3 - 156640/3*d + 1775/3*d**2 - 158420/3.
-5*(d - 178)**2*(d + 1)/3
Let o(c) = -10*c**3 - 54*c**2 + 208*c + 16. Let b be o(-8). Factor 1/2*u**2 + 128 - b*u.
(u - 16)**2/2
Let 0 - 1/2*q**2 - 229/2*q = 0. Calculate q.
-229, 0
Solve 843*s - 207*s + 1237 + 31 + s**2 = 0 for s.
-634, -2
Let d(y) be the second derivative of -3*y**5/50 + 122*y**4/15 - 107*y**3/5 + 16*y**2 - 1401*y. Let d(f) = 0. What is f?
1/3, 1, 80
Let i(u) be the second derivative of -5*u + 0*u**3 + 1/960*u**6 + 0 + 1/192*u**4 - 7/2*u**2 - 1/240*u**5. Let b(w) be the first derivative of i(w). Factor b(n).
n*(n - 1)**2/8
Let j be 12/9 + -2 - 238/3. Let t = j - -82. Let -3*v**4 + v**5 + 2*v + 556*v**2 - 2*v + 3*v**3 - 557*v**t = 0. Calculate v.
0, 1
Let x(s) be the first derivative of 2*s**5/35 - 3*s**4/2 - 20*s**3/3 - 48*s**2/7 - 1325. Determine h so that x(h) = 0.
-2, -1, 0, 24
Factor 98*n**3 + 4 - 10*n + 8*n**2 + 315*n**3 - 415*n**3.
-2*(n - 2)*(n - 1)**2
Let r(g) be the first derivative of 6 + 5/6*g**4 - 1/12*g**5 - 10/3*g**3 + 0*g + 9*g**2. Let h(a) be the second derivative of r(a). What is x in h(x) = 0?
2
Let m(o) be the first derivative of 4*o**3/9 - 4*o/3 + 447. Factor m(a).
4*(a - 1)*(a + 1)/3
Let b = 4283/2 - 3697. Let g = b - -1556. Factor g*j**2 + 1/2 - j.
(j - 1)**2/2
Let p(n) = -106*n**3 + 4227*n**2 - 39848*n - 2156. Let d(g) = -213*g**3 + 8451*g**2 - 79695*g - 4314. Let x(b) = -5*d(b) + 9*p(b). Factor x(z).
3*(z - 19)**2*(37*z + 2)
Find t such that -206/3*t**4 - 62/3 + 644/3*t**3 + 374/3*t - 252*t**2 + 2*t**5 = 0.
1/3, 1, 31
Let w be (4/3)/(((-168)/306)/(-7)). Suppose -15 - 70 = -w*r. Solve 0*z + 0*z**2 + 14/5*z**r + 8/5*z**3 + 0 + 32/5*z**4 = 0.
-2, -2/7, 0
Let i be (-96)/(-8)*((-140)/(-315) + (-26)/(-144)). What is f in 1/2*f**2 + i*f + 13 = 0?
-13, -2
Let 11/4*f**3 + 0 + 3/4*f**2 - 135/4*f + 1/4*f**4 = 0. Calculate f.
-9, -5, 0, 3
Let p = -126 + 129. Solve 142*x**p - 100 - 141*x**2 - x**4 - 74*x**3 - 46*x**3 + 220*x = 0.
1, 10
Solve -165*s**3 - 10*s**2 + 160*s**3 - 5*s**2 - 22*s + 12*s = 0 for s.
-2, -1, 0
Let n(u) be the first derivative of 18*u**5/5 - 201*u**4/4 + 227*u**3 - 378*u**2 + 108*u + 4241. Suppose n(w) = 0. What is w?
1/6, 2, 3, 6
Let r(x) be the first derivative of -x**8/84 - 4*x**7/35 - 3*x**6/10 - 59*x**2/2 - 2*x + 55. Let b(n) be the second derivative of r(n). Factor b(o).
-4*o**3*(o + 3)**2
Let f be 24/(6/15*-1*(-630)/448). Determine h, given that 16*h + 4/3*h**2 + f = 0.
-8, -4
Let c(w) = w**3 + 33*w**2 - 72*w - 68. Let k be c(-35). Suppose 2*l = 5*s - 19, 5*l + 45 = 5*s + 20. Solve -4/11*d - 2/11 + 4/11*d**s + 2/11*d**4 + 0*d**k = 0.
-1, 1
Let z(k) = -k**2 - k + 4. Let s(m) = -32*m**3 + 1165*m**2 + 587*m + 86. Let q(d) = 2*s(d) - 6*z(d). Solve q(n) = 0 for n.
-1/4, 37
Let z(b) be the first derivative of -5*b**3/3 - 12415*b**2/2 + 7165. What is p in z(p) = 0?
-2483, 0
Suppose -4*k - 16 = -6*z + 4*z, 2*z + 5*k = 52. Suppose -z = 10*s - 12*s. Find x, given that -4*x**2 + s*x**2 - 40*x - 45 + x**2 = 0.
-1, 9
Let q(n) be the first derivative of 5*n**4/4 + 1354*n**3 + 5679*n**2/2 + 1622*n + 4766. Factor q(w).
(w + 1)*(w + 811)*(5*w + 2)
Let r be (2007 - 2031)*(14/16 - 1). Solve -28/5*c + 4*c**2 + 4/5*c**4 + 28/5*c**r - 24/5 = 0.
-6, -1, 1
Let d = -4 + 11/2. Let q(l) = -4*l**2 - 30*l + 18. Let i be q(-8). Find x, given that d*x**i + 0 - 1/2*x**3 - x = 0.
0, 1, 2
Let a(p) be the third derivative of -p**5/75 + 13*p**4/30 - 8*p**3/5 - 1482*p**2. Solve a(d) = 0.
1, 12
Suppose 3*y - 3*f + 9 = 0, -4*y