561*k**2 - 291 - 66*k**3 + 90*k**2 - 756 + 2071 - 2*k**4 - 101*k**2 - 384*k = 0.
-16, -2, 1
Let f be 14892/(-3740) - 2/(-11) - (-7 + 2). Factor 2/5 + 4/5*r**2 + f*r.
2*(r + 1)*(2*r + 1)/5
Let h(m) = m**2 - 7*m + 4. Let w be h(7). Suppose 0 = w*d - 30 + 6. Find g such that 7 + 1 + 3*g**2 - 6*g**3 + d*g - 11 = 0.
-1, 1/2, 1
Let t(g) = 19*g + 46. Let p(k) = -k**2 - 2*k + 2. Let u(f) = -2*p(f) + t(f). Let j be u(-2). Factor 25/7*s**5 + 9/7*s + 0 + 80/7*s**j + 94/7*s**3 + 48/7*s**2.
s*(s + 1)**2*(5*s + 3)**2/7
Let o(h) be the second derivative of -169*h**6/10 - 106041*h**5/10 - 7403829*h**4/4 - 1136542*h**3 - 262086*h**2 + 9*h - 315. Factor o(i).
-3*(i + 209)**2*(13*i + 2)**2
Let s(z) be the third derivative of -z**5/12 + 85*z**4/24 + 70*z**3 - 3214*z**2 + 2*z. Factor s(q).
-5*(q - 21)*(q + 4)
Let s be (-42 + 41)*(52 - -1). Let h be (-101)/(-18) + s/954. Solve 4/3 + 2/9*v**5 + 80/9*v**2 + 20/3*v**3 + 20/9*v**4 + h*v = 0.
-6, -1
Let j(x) be the second derivative of 40 - x - 3/2*x**3 + 243/4*x**2 + 1/72*x**4. Factor j(g).
(g - 27)**2/6
Let f(r) = 2*r**3 - 13*r**2 - 3*r + 39. Let s be f(6). Let o be (s/((-180)/(-16)))/(17/(-6)). Factor 4/17*g**2 - 16/17 + 2/17*g**3 - o*g.
2*(g - 2)*(g + 2)**2/17
Factor 5/4*f**3 + 215270*f + 636540 + 4135/4*f**2.
5*(f + 3)*(f + 412)**2/4
Let c(u) = -u**2 + 24*u + 86. Let r be c(27). Suppose 16 = -r*m + 31, q + 4*m = 14. Let -2/5*g**q + 0 - 6/5*g**3 + 0*g = 0. What is g?
-1/3, 0
Let y = -771791/278817 + 914/1491. Let m = 25/11 + y. Factor 4/17*k**2 - 2/17*k**3 - 4/17 + m*k.
-2*(k - 2)*(k - 1)*(k + 1)/17
Suppose g = 0, 7*l + 3*g + 1 = 8*l. Let w(c) be the first derivative of 0*c + 3/11*c**2 + 2/33*c**3 - l. Find i such that w(i) = 0.
-3, 0
Let o = -145 - -151. Determine r, given that o*r**2 - 48 + 10*r**2 + 15*r**2 - 33*r**2 + 5*r**2 = 0.
-4, 4
Let x(l) be the second derivative of -l**4/12 - 70*l**3 - 2*l - 6636. Suppose x(s) = 0. Calculate s.
-420, 0
Let r be (-2268)/19845 - (-4 - 36/(-28) - -2). Factor 24/5*v + 48/5 + r*v**2.
3*(v + 4)**2/5
Find r, given that 13*r**2 + 20*r**2 + 258 + 821 - 5*r**2 + 3620*r - 47 = 0.
-129, -2/7
Let q = -4129 + 28979/7. Let m be (-212)/(-70) + 54/135. Suppose -52/7*j**3 + 4*j**5 - 76/7*j**2 + 0 + m*j + q*j**4 = 0. What is j?
-3, -1, 0, 2/7, 1
Let i(d) be the third derivative of -d**8/20160 + d**7/5040 + 13*d**5/60 + 65*d**2. Let t(u) be the third derivative of i(u). Factor t(f).
-f*(f - 1)
Let z(r) be the second derivative of r**5/100 - r**3/10 + r**2/5 + 1653*r. Find i such that z(i) = 0.
-2, 1
Solve 1352*u**5 - 1400*u**3 + 51*u**4 - 6750 + 6525*u + 1754*u**2 - 1357*u**5 + 109*u**4 - 147*u**2 - 137*u**2 = 0.
-2, 1, 3, 15
Suppose 34*c - 33 = 23*c. Suppose -u = -4*g - c*u + 10, 8 = g - 5*u. Factor 0 - 2/7*p**4 + 2/7*p**2 - 6/7*p + 6/7*p**g.
-2*p*(p - 3)*(p - 1)*(p + 1)/7
Suppose 1434*i - 1429*i - 5*d = 20, -3*d - 16 = -5*i. Determine a so that 0*a - 6*a**3 + 0 + 12*a**i + 2/3*a**4 = 0.
0, 3, 6
Factor 73*b**2 - 7397*b + 4453*b - 77*b**2.
-4*b*(b + 736)
Let m(u) be the first derivative of u**6/90 + 2*u**5/5 - 283*u + 231. Let g(t) be the first derivative of m(t). Factor g(i).
i**3*(i + 24)/3
Let a(f) = -f**2 - 7*f + 7. Let p be a(-7). Suppose 16 = 36*y - 92. Factor 0 - j**3 - 3 - y*j**2 + p.
-(j - 1)*(j + 2)**2
Let s(p) be the first derivative of p**4/4 - 118*p**3/3 + 3705*p**2/2 - 12996*p + 4931. Factor s(w).
(w - 57)**2*(w - 4)
Let v(t) = 2*t**2 - 5*t - 15. Let s be v(7). Factor -111*p**2 - 24*p + 229*p**2 - 121*p**2 - s.
-3*(p + 4)**2
Let d(y) be the second derivative of -y**6/40 + 39*y**5/40 + 12*y**4 - 1766*y + 2. Determine z, given that d(z) = 0.
-6, 0, 32
Let l = 233038/3 + -77678. Factor -l*k**2 - 1444/3 + 152/3*k.
-4*(k - 19)**2/3
Let c(m) be the first derivative of -119 + 0*m - 3/28*m**4 - 5/7*m**3 + 9/7*m**2. Factor c(b).
-3*b*(b - 1)*(b + 6)/7
Let d(i) be the first derivative of -i**6/180 + 7*i**4/36 + 2*i**3/3 + 6*i**2 - 3*i + 82. Let v(o) be the second derivative of d(o). Solve v(m) = 0.
-2, -1, 3
Let j(d) = 25 + 10*d**2 - 3*d**2 - 67*d + 2*d**2 - 6*d**2. Let h be j(22). Find g such that -3*g + 1 + 7/4*g**h - 9/4*g**2 = 0.
-1, 2/7, 2
Let j be (-354)/(-3009) - 72/(-2856). Factor 4/7*m - 3/7*m**3 + 0*m**2 + 0 + j*m**4.
m*(m - 2)**2*(m + 1)/7
Let a(k) be the third derivative of k**5/180 + 20*k**4/9 - 1403*k**2. Factor a(r).
r*(r + 160)/3
Let b(v) be the first derivative of -17*v**2 + 1/2*v**4 - 42*v + 10/3*v**3 - 28. Find s, given that b(s) = 0.
-7, -1, 3
Suppose -340 - 291 = -176*r + 1129. Let u(d) be the first derivative of 1/3*d**3 - r - d**4 + 0*d + 0*d**2. Determine m so that u(m) = 0.
0, 1/4
Let k(u) be the second derivative of -u**4/4 + 43*u**3 - 252*u**2 + 12*u - 76. Find w, given that k(w) = 0.
2, 84
Let m(i) be the third derivative of 3/10*i**4 + 43/600*i**6 - 4/15*i**3 - 29/150*i**5 + 30*i**2 + 1/840*i**8 - 1/70*i**7 + 0*i + 1. Solve m(b) = 0 for b.
1/2, 1, 2
Let n(y) = 17*y**2 + 3*y + 1. Let t be n(-2). Solve 4*f**2 - 166 - 28*f + t*f + 422 + 29*f = 0 for f.
-8
Let h(y) = 2*y**2 + 2*y + 1. Let p(t) = t**2 + 241*t + 740. Let n(q) = -2*h(q) + p(q). Factor n(l).
-3*(l - 82)*(l + 3)
Let s(y) be the second derivative of 5*y**4/12 + 5885*y**3/6 - 35*y - 60. Factor s(c).
5*c*(c + 1177)
Let v(l) be the third derivative of l**8/504 + 2*l**7/63 + l**6/5 + 28*l**5/45 + 8*l**4/9 + 3*l**2 + 709. Factor v(z).
2*z*(z + 2)**3*(z + 4)/3
Let j(q) = 6*q**3 - 49*q**2 + 12*q - 32. Let s be j(8). Factor 0*z + 0*z**2 + s + 1/2*z**4 + 7/2*z**3.
z**3*(z + 7)/2
Let u be 6 + (-528)/108 + 0. Let a(v) be the first derivative of -2/3*v - u*v**3 + 5/3*v**4 - 2 + 4/5*v**5 - 11/6*v**2 - 1/2*v**6. Solve a(t) = 0 for t.
-1, -1/3, 1, 2
Let r be -1 + 0 - 1*(-15)/3. Find o, given that 6*o**3 + r*o**4 + 0*o - 2*o**5 + 4*o - 10*o**2 - 2*o**4 = 0.
-2, 0, 1
Let m(g) be the first derivative of -g**4/84 + 4*g**3/21 - 6*g**2/7 + 47*g + 99. Let s(v) be the first derivative of m(v). Factor s(u).
-(u - 6)*(u - 2)/7
Let m(p) = -p**3 + p**2 + p. Let c(l) = 7*l**3 - 15*l**2 + 2*l - 13. Let n(h) = -c(h) - 6*m(h). Let z be n(8). Let -16*a**2 + z*a**2 - a - 5*a = 0. Calculate a.
-2, 0
Let h = 46339/15 - 3089. Let s(k) be the first derivative of 1/30*k**4 + 17 + 4/5*k**2 - h*k**3 - 16/15*k. Factor s(f).
2*(f - 2)**3/15
Let q(x) = -213*x**2 + 897*x - 924. Let z(s) = s**3 - 212*s**2 + 896*s - 928. Let k(g) = -4*q(g) + 3*z(g). Factor k(a).
3*(a - 2)**2*(a + 76)
Let y(p) = 2*p**2 - 9*p - 5. Let k be y(9). Find i such that -16 + 56*i - i**2 - k*i - 3*i**2 = 0.
-4, -1
Suppose -4*f = -4*g - 16, 83*f - 101*f = 4*g - 50. Suppose -69/4*n**2 + 69/4*n**4 + 33/4*n**f - 9/4*n**5 - 6*n + 0 = 0. Calculate n.
-1, -1/3, 0, 1, 8
Let a(y) be the first derivative of -4/5*y**2 + 142 + 2/15*y**3 - 8/5*y + 1/10*y**4. Determine s so that a(s) = 0.
-2, -1, 2
Let y(n) = -n + 1. Let o(v) = 58*v**2 + 12*v - 6. Let u(l) = 116*l**2 + 23*l - 10. Let q(a) = -5*o(a) + 2*u(a). Let h(b) = q(b) - 10*y(b). Factor h(t).
-2*t*(29*t + 2)
Let q(h) be the third derivative of h**6/360 - h**5/180 + 11*h**3/2 + 2*h**2. Let d(c) be the first derivative of q(c). Solve d(t) = 0.
0, 2/3
Let m be ((-8)/2 + (9 - 6))*-2. Factor 7*i**3 + m*i**2 + 5 + 5*i**4 + 13*i**3 + 20*i + 28*i**2.
5*(i + 1)**4
Let j = -511 + 525. Let g = j + -40/3. Determine b so that g - 2*b**2 - 11/3*b = 0.
-2, 1/6
Let 145/4 + 1/8*b**2 - 147/8*b = 0. Calculate b.
2, 145
Let n(m) = -2*m**3 + 35*m**2 - 194*m + 3822. Let x be n(18). Suppose 36/5*a**4 + 3*a**5 - x*a**2 + 12/5*a**3 - 6/5 - 27/5*a = 0. Calculate a.
-1, -2/5, 1
Suppose 0 = -11*b + 4*n - 35, -3*b + 6*n + 26 = 7*n. Determine k so that -16/7*k**4 + 0*k**2 + 0*k + 0 + 4/7*k**b = 0.
0, 1/4
Let c(a) be the third derivative of a**8/5376 + a**7/2016 - a**4/12 + 2*a**3 + 76*a**2. Let b(f) be the second derivative of c(f). Let b(o) = 0. Calculate o.
-1, 0
Let x be -1*((-22)/33)/(6/(-855)). Let f = x - -97. Determine y, given that 1/4*y**f + 5/12*y - 1/6 = 0.
-2, 1/3
Let j(i) be the second derivative of -1/16*i**4 - 1/8*i**3 + 15*i + 9/2*i**2 + 0. Determine m so that j(m) = 0.
-4, 3
Let n(c) be the first derivative of -2*c**3/39 - c**2 + 600*c/13 - 2933. Suppose n(d) = 0. What is d?
-25, 12
Let i(z) be the first derivative of -z**9/6048 - z**8/1680 + z**6/360 + z**5/240 + 38*z**3/3 - 35. Let o(q) be the third derivative of i(q). Factor o(c).
-c*(c 