et 3/2*v**2 + 2 - g*v**3 + 15/4*v = 0. What is v?
-1, 8
Let k(b) = -3*b**2 - 56*b + 49. Let q(t) = -5*t**2 - 85*t + 74. Let o(n) = -2*n**2 + 22*n - 12. Let m be o(10). Let l(h) = m*k(h) - 5*q(h). Factor l(v).
(v - 22)*(v - 1)
Let w(j) = 5*j**2 - 3*j**2 - j**2 + 6*j. Let x(s) = s**2 + 5*s - 12. Let p(z) = -3. Let k(q) = 4*p(q) - x(q). Let l(c) = 4*k(c) + 3*w(c). Factor l(h).
-h*(h + 2)
Let w(o) = -3*o**3 + 3*o + 1. Let v(j) = j**5 - 4*j**4 - j**3 + 28*j**2 - 24*j - 3. Let h(c) = -v(c) - 3*w(c). Suppose h(s) = 0. What is s?
-3, 0, 1, 5
Let -32/9 + 8*u + 10/9*u**3 - 16/3*u**2 = 0. What is u?
4/5, 2
Determine x so that 30/7*x**3 - 2/7*x**4 - 120/7*x - 88/7*x**2 + 0 = 0.
-1, 0, 6, 10
Let q(c) be the first derivative of c**6/39 + 66*c**5/65 + 61*c**4/13 + 356*c**3/39 + 9*c**2 + 58*c/13 - 1047. Factor q(h).
2*(h + 1)**4*(h + 29)/13
Let f(s) = 33*s**2 + 135*s - 888. Let l(x) = -72*x**2 - 270*x + 1776. Let a(i) = -13*f(i) - 6*l(i). Factor a(y).
3*(y - 37)*(y - 8)
Let t be (-90)/(-81) - 9275/(-2205) - (1 - (-10)/(-9)). What is y in 2/7*y**2 + 40/7*y + t = 0?
-19, -1
Let k(t) be the first derivative of 2*t**6/19 - 2*t**5/95 - 49*t**4/19 + 32*t**3/57 + 32*t**2/19 - 2295. Determine w, given that k(w) = 0.
-4, -1/2, 0, 2/3, 4
Let u(h) be the first derivative of 8/3*h**3 + 218 - 36*h - 3*h**2 + 1/2*h**4. Factor u(p).
2*(p - 2)*(p + 3)**2
Solve 397488 + j**2 + 2*j**2 - 5292*j + 3828*j + 3648*j = 0.
-364
Suppose 0 = 34*m + 9*m - 559. Let d(j) = 20*j**2 + 685*j - 18816. Let l(k) = -9*k**2 - 342*k + 9408. Let i(p) = m*l(p) + 6*d(p). Find o such that i(o) = 0.
56
Let a = 9507/6952 + 55/632. Find k, given that a*k + 0 - 4/11*k**2 - 2/11*k**3 = 0.
-4, 0, 2
Let l(m) be the first derivative of m**5/15 - 10*m**4/3 + 37*m**3/3 - 5395. Determine k so that l(k) = 0.
0, 3, 37
Let g(k) be the third derivative of k**7/16380 - k**6/4680 - k**5/390 + 11*k**4/24 - 2*k**3/3 - 46*k**2. Let v(u) be the second derivative of g(u). Factor v(h).
2*(h - 2)*(h + 1)/13
Find n, given that 314 - 5*n**3 - 30899*n + 63698*n - 30829*n + 1006 + 645*n**2 = 0.
-2, -1, 132
Let q = -1820599/4 + 455240. Factor -q*f**2 - 9 - 57*f.
-(19*f + 6)**2/4
Let b(h) be the first derivative of -10*h**3/57 + 7*h**2/19 + 180*h/19 - 3288. Factor b(c).
-2*(c - 5)*(5*c + 18)/19
Factor 0 + 3*b**2 + 1/6*b**3 - 19/6*b.
b*(b - 1)*(b + 19)/6
Let q be (203/(-348))/((-35)/375). Determine k so that q*k**2 - 105/4 + 85/4*k - 5/4*k**3 = 0.
-3, 1, 7
Let b(x) be the first derivative of x**3/12 + x**2/4 - 195*x/4 + 3899. Solve b(f) = 0 for f.
-15, 13
Suppose 2*f - b = -4*b - 8, -4*f + 20 = -3*b. Let c be -2 - (-4 + -4) - 1. Solve -45*x + 2*x**3 - c*x**3 - 22*x**2 - 2*x**3 - 8*x**f = 0 for x.
-3, 0
Let s(c) be the third derivative of -1/24*c**6 + 18*c**2 + 1/84*c**8 + 0*c**5 - 19/210*c**7 + 0*c**3 + 0*c**4 + 1 + 0*c. Let s(z) = 0. What is z?
-1/4, 0, 5
Let y(f) be the third derivative of f**6/360 - 85*f**5/36 - 641*f**4/36 - 428*f**3/9 + 1544*f**2. Determine n, given that y(n) = 0.
-2, -1, 428
Let g(j) = j**2 + 10*j - 36. Let i be g(-13). Factor 6*t + 15*t + 1311*t**i - 18 - 1314*t**3.
-3*(t - 2)*(t - 1)*(t + 3)
Let a(g) be the first derivative of 2*g**3/33 + 59*g**2/11 + 636*g/11 + 8816. Let a(b) = 0. What is b?
-53, -6
Let t(s) be the first derivative of -21/4*s**4 - 3/5*s**5 + 30*s + 27*s**3 - 87/2*s**2 + 76. Factor t(n).
-3*(n - 1)**3*(n + 10)
Let n(m) be the first derivative of 1/12*m**4 - 48 + 2*m**2 + 10/9*m**3 - 24*m. Suppose n(b) = 0. What is b?
-6, 2
Find y such that 2*y + 0 - 99/2*y**3 + 61/4*y**4 + 85/4*y**5 + 11*y**2 = 0.
-2, -2/17, 0, 2/5, 1
Solve -2/5*o**3 - 1904/5*o - 118/5*o**2 - 4704/5 = 0.
-28, -3
Let w(j) = 228*j - 125. Let f be w(8). Let k = -1695 + f. Factor 0*a + 4/7*a**k + 0 + 36/7*a**2 - 24/7*a**3.
4*a**2*(a - 3)**2/7
Let b(z) be the third derivative of -z**5/60 - 3*z**4/8 - 3*z**3 + 53*z**2 - 2. Factor b(i).
-(i + 3)*(i + 6)
Let q = -127 + 199. Let f = q + -67. What is v in -10*v**2 - 3*v**3 - f*v**3 + 33*v**3 = 0?
0, 2/5
Let y(t) be the third derivative of -t**6/420 - 3*t**5/35 - 29*t**4/28 - 110*t**3/21 - 7433*t**2. Determine l so that y(l) = 0.
-11, -5, -2
Let n(f) be the third derivative of -47*f**2 + 0 + 1/60*f**6 - 1/105*f**7 + 0*f**4 + 0*f**3 + 1/5*f**5 + 0*f. Suppose n(r) = 0. Calculate r.
-2, 0, 3
Suppose -11 = -3*y - 4*z + 2*z, 0 = -z - 2. What is g in 13*g**2 - 3*g**2 - 4*g**2 - 18*g**4 + 24*g**2 - 3*g**y - 9*g**3 = 0?
-5, -2, 0, 1
Let d(y) be the first derivative of y**3/3 - 761*y**2/6 + 506*y/3 - 482. Determine u so that d(u) = 0.
2/3, 253
Solve -748*k**2 + 369*k**2 + 45*k + 378*k**2 - 86 = 0 for k.
2, 43
Let q be 12404/(-588) - -21 - 86/(-21). Let u(j) be the third derivative of -7/20*j**5 + 1/40*j**6 - 5/2*j**3 + 0*j + 11/8*j**q + 28*j**2 + 0. Factor u(l).
3*(l - 5)*(l - 1)**2
Let r(d) be the third derivative of -d**7/1260 + d**6/360 + 43*d**4/12 + 35*d**2. Let w(u) be the second derivative of r(u). Solve w(s) = 0 for s.
0, 1
Let f = -91 + 99. Suppose -17*x = -f*x + 63. Let c(n) = -2*n**2 - 6*n - 9. Let t(z) = 3*z**2 + 9*z + 13. Let w(v) = x*c(v) - 5*t(v). Factor w(y).
-(y + 1)*(y + 2)
Let b = -5865 - -10624. What is s in 49*s - b*s + 1350*s**3 + 145*s**4 - 290*s + 3500*s**2 + 5*s**5 = 0?
-10, 0, 1
Let t(i) be the third derivative of -i**7/105 + i**6/6 + 4*i**5/5 - 64*i**4/3 - 512*i**3/3 + 3*i**2 + 28*i. What is z in t(z) = 0?
-4, -2, 8
Let m = -163 - -602. Let k = m + -434. Let 0 + 0*h + 5/3*h**2 - 25/6*h**4 - 10/3*h**k + 35/6*h**3 = 0. What is h?
-2, -1/4, 0, 1
Let f(l) be the first derivative of 5/9*l**3 - 110 + 25/3*l**2 + 80/3*l. Determine o so that f(o) = 0.
-8, -2
Let h be 10/45 - 114/27 - -7 - (-38)/(-38). Suppose 0 = -0*r + 4*r - 16. Suppose -r*k - 8*k**3 - 4/5*k**5 - 8*k**h - 4*k**4 - 4/5 = 0. Calculate k.
-1
Let y = -6/18815 - -3010418/56445. Suppose 1280/3 - y*b + 5/3*b**2 = 0. What is b?
16
Let t(d) be the third derivative of d**6/300 + 79*d**5/150 + 13*d**4/10 - 2*d**2 - 2*d + 327. Factor t(p).
2*p*(p + 1)*(p + 78)/5
Let y(g) = 40*g**3 - 497*g**2 + 1691*g - 1759. Let q(w) = 20*w**3 - 247*w**2 + 846*w - 879. Let p(f) = -9*q(f) + 4*y(f). Factor p(j).
-5*(j - 5)**2*(4*j - 7)
Let u be (8 - 3) + -4 + 0. Let q(p) = -12*p**2 + 488*p + 15368. Let l(n) = -2*n**2 - n - 1. Let t(a) = u*q(a) - 8*l(a). Find s, given that t(s) = 0.
-62
Let f(a) be the second derivative of a**6/30 + a**5/10 - a**4/4 - a + 247. Factor f(g).
g**2*(g - 1)*(g + 3)
Let t(u) = 10*u**3 - 30*u**2 + 5*u + 35. Suppose 23*a = 6*a + 85. Let n(k) = -k**3 - 2*k - 1. Let g(b) = a*n(b) + t(b). Factor g(s).
5*(s - 6)*(s - 1)*(s + 1)
Determine z so that 105*z - 185 + 11 - 5*z**2 - 12 - 12 + 2*z**2 = 0.
2, 33
Let i(t) be the third derivative of -t**7/630 + 103*t**6/72 - 1279*t**5/90 + 1021*t**4/18 - 340*t**3/3 - 10071*t**2. Determine p, given that i(p) = 0.
1, 2, 510
Let p(f) be the second derivative of -f**4/36 + 16*f**3 - 568*f**2/3 + 13*f + 147. Factor p(z).
-(z - 284)*(z - 4)/3
Suppose 0 = -3*p + 2*m + 7, -m = 2*m - 12. Suppose -69*c**3 - 31*c + 15*c**2 - 75*c**2 - 3*c**p - 21*c**4 + 15*c**3 + 7*c = 0. Calculate c.
-2, -1, 0
Let r = 25 - 23. Suppose 14 - 22 = -r*w. Let 5*o**3 - 15*o**4 - 16*o**5 + 2*o**2 + 0*o**2 - w*o**5 + 7*o**4 = 0. What is o?
-1/2, -2/5, 0, 1/2
Let h(m) = 22*m**2 + 3382*m - 3380. Let t be h(1). Factor 672*p + 2/7*p**3 + 6272 + t*p**2.
2*(p + 28)**3/7
Let o(n) be the third derivative of n**5/210 - 215*n**4/42 - 431*n**3/21 - 3231*n**2. Factor o(h).
2*(h - 431)*(h + 1)/7
Let k = -999777 + 999780. What is m in -11/4*m**4 - 13/2*m**k - 4*m**2 - 1/4*m**5 + 0*m + 0 = 0?
-8, -2, -1, 0
Let s(i) be the second derivative of -3*i + 0*i**3 + 14 + 0*i**2 - i**4 + 1/15*i**6 - 1/10*i**5. Suppose s(g) = 0. What is g?
-2, 0, 3
Factor -625*q**2 + 0*q + 25*q**3 - 1/4*q**4 + 0.
-q**2*(q - 50)**2/4
Let b(s) = 99*s**2 - 212*s + 40. Let r(y) = 99*y**2 - 216*y + 45. Let w(a) = -3*b(a) + 4*r(a). What is j in w(j) = 0?
10/33, 2
Let z(l) be the first derivative of 16*l**5/5 + 14*l**4 - 156*l**3 + 405*l**2 - 432*l + 642. Suppose z(w) = 0. What is w?
-8, 3/2
Let h(j) be the second derivative of -j**5/130 - 8*j**4/39 + 44*j**3/13 + 1119*j. Factor h(w).
-2*w*(w - 6)*(w + 22)/13
Let c(g) = -39*g**4 - 48*g**3 - 27*g**2 + 12*g + 6. Let h(m) = 40*m**4 + 46*m**3 + 28*m**2 - 13*m - 7. Let z(o) = -7*c(o) - 6*h(o). Let z(d) = 0. Cal