- 42*c**2 = 0.
-1, 2/105
Let o be ((-8)/(-4) + 2)/1. Suppose 3*l + 3*n = 0, -2*n = -o*l - 4*n + 6. Factor -6*i**2 + 5*i + 2*i + 7*i - 11*i - 3*i**l + 6.
-3*(i - 1)*(i + 1)*(i + 2)
Suppose 0 = -25*f + 15*f + 20. Suppose f*p = -4*p + 18. Let 0 + 2/7*g**p + 2/7*g**2 + 0*g = 0. What is g?
-1, 0
Factor 26/9*a**2 + 2/9*a**3 - 58/9*a + 10/3.
2*(a - 1)**2*(a + 15)/9
Suppose -1743 = -8*t + 265. Let g = -246 + t. Solve -9/7*a**g - 8/7*a**2 - 37/7*a**3 - 34/7*a**4 + 4/7*a + 0 = 0 for a.
-2, -1, 0, 2/9
Let c(j) = 14*j**2 + 26*j + 22. Let f(a) = -17*a**2 - 25*a - 20. Let x(u) = 6*c(u) + 5*f(u). Factor x(b).
-(b - 32)*(b + 1)
What is m in 24*m**3 - 95*m**2 - 5*m**5 - 30*m**4 - 15*m**4 - 129*m**3 - 30*m = 0?
-6, -1, 0
Solve -24 + 67*p**3 + 140*p**3 - 156*p**4 - 75*p**5 + 6*p**3 - 276*p + 318*p**2 = 0.
-2, -2/25, 1
Let l(n) be the third derivative of -n**4/24 + 8*n**3/3 - 37*n**2. Let x be l(14). Find d, given that 0*d + 1/3*d**x - 1/3 = 0.
-1, 1
Suppose l - 19*g - 14 = -17*g, -3*g = -5*l + 49. Let t(n) be the first derivative of 1/4*n**2 + 0*n**3 + l - 1/8*n**4 + 0*n. Find f such that t(f) = 0.
-1, 0, 1
Factor 63/4*h - 15/2 - 9*h**2 + 3/4*h**3.
3*(h - 10)*(h - 1)**2/4
Let z(s) be the third derivative of 151321*s**6/40 + 152877*s**5/20 + 195*s**4 + 2*s**3 - 3*s**2 - 67*s. Factor z(l).
3*(l + 1)*(389*l + 2)**2
Let g(n) be the second derivative of -1/60*n**6 + 0 - 1/12*n**4 + 28*n + 0*n**3 + 0*n**2 + 3/40*n**5. Factor g(m).
-m**2*(m - 2)*(m - 1)/2
Let v(k) be the first derivative of -k**3/5 + 3*k**2/5 + 9*k/5 + 26. Factor v(i).
-3*(i - 3)*(i + 1)/5
Let b(c) be the first derivative of 0*c - 9/2*c**3 + 3/2*c**2 + 21/8*c**4 + 1. Factor b(y).
3*y*(y - 1)*(7*y - 2)/2
Solve -318*j - 162*j + 7 + 445*j**2 - 82 - 1213*j**2 = 0 for j.
-5/16
Let b(h) be the third derivative of -5*h**8/1848 + 2*h**7/1155 + h**6/44 - 8*h**5/165 + h**4/33 - h**2 - 137*h. What is f in b(f) = 0?
-2, 0, 2/5, 1
Let z(f) be the third derivative of f**8/84 + 4*f**7/105 - f**6/30 - 2*f**5/15 - 9*f**2 + 1. Find j, given that z(j) = 0.
-2, -1, 0, 1
Let g(y) be the second derivative of y**7/3150 - y**6/60 - 29*y**4/12 - 38*y. Let m(h) be the third derivative of g(h). Determine p, given that m(p) = 0.
0, 15
Suppose 4*l = -p + 2, -5*l + 130 = -2*p + 134. Find m, given that 0 + 1/7*m**p + 2/7*m = 0.
-2, 0
Let u(w) be the first derivative of -w**7/980 + 13*w**6/1260 - 2*w**5/105 - w**4/7 - 11*w**3/3 - 12. Let y(z) be the third derivative of u(z). Factor y(a).
-2*(a - 3)*(a - 2)*(3*a + 2)/7
Let y(d) be the first derivative of -d**5/35 + 41*d**3/21 + 36*d**2/7 - 16*d - 95. Factor y(j).
-(j - 7)*(j - 1)*(j + 4)**2/7
Let v(l) = l**3 + 4*l + 4. Let q(x) = x**3 + x**2 - 1. Let i(w) = -2*q(w) - v(w). Let g be i(-1). Let -1/4*c**g - 1/4*c**2 + 1/4 + 1/4*c = 0. Calculate c.
-1, 1
Suppose 20/7*j**3 - 20/7*j + 2/7*j**2 + 0 - 2/7*j**4 = 0. Calculate j.
-1, 0, 1, 10
Let w(j) be the first derivative of -1/26*j**4 + 0*j**2 + 0*j - 2/39*j**3 + 14 + 4/65*j**5. Let w(d) = 0. Calculate d.
-1/2, 0, 1
Let u(q) be the second derivative of 1/18*q**4 + 0 + 1/120*q**5 - 27*q + 0*q**2 - 1/180*q**6 - 1/9*q**3. Determine v, given that u(v) = 0.
-2, 0, 1, 2
Let f(c) be the third derivative of -c**7/945 + 17*c**6/270 - 289*c**5/270 + c**2 - 173. Factor f(b).
-2*b**2*(b - 17)**2/9
Let a(u) be the first derivative of -3/10*u**5 + 0*u - 1/4*u**6 - 8 + 0*u**2 + 0*u**4 + 0*u**3. What is f in a(f) = 0?
-1, 0
Let m(r) = 10*r**5 + 17*r**4 - 16*r**3 - 3*r**2 - 4*r - 4. Let a(i) = 9*i**5 + 16*i**4 - 16*i**3 - 3*i**2 - 3*i - 3. Let f(q) = 4*a(q) - 3*m(q). Solve f(o) = 0.
-3, -1/6, 0, 1
Suppose -4*i = -5*i. Let k be (3 - (i - -2))*2. Factor 2/3*q**5 - 2/3*q**2 - k*q**4 + 0*q + 2*q**3 + 0.
2*q**2*(q - 1)**3/3
Factor 686/3*f + 344/3 - 2/3*f**3 + 340/3*f**2.
-2*(f - 172)*(f + 1)**2/3
Let o(y) be the second derivative of -3*y - 1/60*y**6 + 1/6*y**3 + 1/24*y**4 + 0*y**2 + 0 - 1/20*y**5. Let o(k) = 0. Calculate k.
-2, -1, 0, 1
Let g(j) be the second derivative of j**5/4 + 5*j**4/12 - 40*j**3/3 + 50*j**2 - 70*j. Factor g(f).
5*(f - 2)**2*(f + 5)
Suppose 21*d = 27*d - 126. Let a be ((-22 + d)*1/(-1))/7. Factor 1/7*p**4 - 1/7*p**3 + 0 - 1/7*p**2 + a*p.
p*(p - 1)**2*(p + 1)/7
Let z = 122 - 119. Suppose -7*l = -z*l + 3*s - 29, 4*s - 17 = -l. Determine q so that -4/7 + 4/7*q**l + 8/7*q**2 + 4/7*q - 8/7*q**3 - 4/7*q**4 = 0.
-1, 1
Let f = 170 - 147. Let b = -23 + f. What is z in b + z + 1/2*z**2 = 0?
-2, 0
Let o(j) = 2*j**2 - 3*j - 9. Let i(h) = h**2 - 2*h - 5. Let c(p) = -p**2 - 6*p + 11. Let k be c(-8). Let w(g) = k*i(g) + 3*o(g). Find v such that w(v) = 0.
-2, 1
Suppose -6*a = -8 - 28. Let l be 1 + -4 + (-36)/(-8). Solve -a - l*n**2 + 6*n = 0 for n.
2
Suppose 0*g + 3 = g. Determine c so that -4 + 5 + c**3 - 3 - g*c = 0.
-1, 2
Let l be ((-3)/2 - -2)*28/7. Factor 50*n - 2*n**l - 50*n + 4*n**3 - 4*n**4 + 10*n**2.
-4*n**2*(n - 2)*(n + 1)
Let b(v) be the third derivative of 1/4*v**5 - 1/14*v**7 + 0*v**3 + 0*v + 0 - 5/12*v**4 + 5/336*v**8 + 15*v**2 + 1/24*v**6. Factor b(t).
5*t*(t - 2)*(t - 1)**2*(t + 1)
Let r be 0 + (-13 - 5)/(-9). Factor 8*f**2 - r*f - 7/2*f**3 + 0.
-f*(f - 2)*(7*f - 2)/2
Let a(x) be the first derivative of x**5/2 + 15*x**4/2 + 75*x**3/2 + 135*x**2/2 - 697. Factor a(v).
5*v*(v + 3)**2*(v + 6)/2
Let m be 1/(0 + (1 + 0)/45). Let j be (37/(-60) - -3) + (-6)/m. Factor 3/4*l**2 + 0 - 1/2*l + j*l**3.
l*(3*l - 1)*(3*l + 2)/4
Find f, given that 4/9*f**4 + 2/9*f**5 + 2/3*f - 8/9*f**3 - 4/9*f**2 + 0 = 0.
-3, -1, 0, 1
Let x(u) be the second derivative of -u**6/15 - 7*u**5/5 - 73*u**4/6 - 56*u**3 - 144*u**2 - u - 3. Factor x(o).
-2*(o + 3)**2*(o + 4)**2
Let k = 96 + -38. Let i = 60 - k. Factor 0 - 5/2*d**5 + 3/2*d**4 + 0*d**i + 0*d + d**3.
-d**3*(d - 1)*(5*d + 2)/2
Factor 1298*h**4 - 2*h**3 - 648*h**4 - 651*h**4 + 2*h + h**2.
-h*(h - 1)*(h + 1)*(h + 2)
Let z(g) = g**2 + 35*g - 110. Let h be z(-38). Let w(p) be the first derivative of -p**h - 10*p**2 + 8*p + 16/3*p**3 + 7. Factor w(o).
-4*(o - 2)*(o - 1)**2
Let l be (-41)/(-3) + (112 - 125). Factor 0*c + l*c**2 + 1/3*c**4 + 0 + c**3.
c**2*(c + 1)*(c + 2)/3
Let o = -1854 - -1856. Factor -27/4*u**3 - 18*u - 87/4*u**o - 3.
-3*(u + 1)*(u + 2)*(9*u + 2)/4
Suppose 0 = -n + 8 + 2. Factor -n*h**3 - 3*h**2 - 4*h**2 + 24*h - 8 + h**2.
-2*(h - 1)*(h + 2)*(5*h - 2)
Let l(i) be the second derivative of i**5/5 + 33*i**4 + 1600*i**3 - 5000*i**2 + 98*i. Find o, given that l(o) = 0.
-50, 1
Let m = -3225 - -16126/5. Factor -1/5*z**3 + m*z + 0*z**2 + 0.
-z*(z - 1)*(z + 1)/5
Let k be (0/2 - 2)/(2 - 56). Let v(w) be the second derivative of -1/54*w**4 - k*w**3 - 3*w + 2/9*w**2 + 0. Solve v(u) = 0.
-2, 1
Let v(g) be the first derivative of 0*g**4 + 0*g + 2*g**3 + 0*g**2 + 1/60*g**5 - 1/420*g**7 + 0*g**6 + 5. Let q(l) be the third derivative of v(l). Factor q(b).
-2*b*(b - 1)*(b + 1)
Let w(x) be the first derivative of 3/5*x**5 - 1 + 3*x**3 + 3*x**4 - 6*x**2 - 12*x. Determine p, given that w(p) = 0.
-2, -1, 1
Let c(r) = 84*r**3 - 152*r**2 + 124*r + 552. Let p(w) = 13*w**3 - 23*w**2 + 19*w + 85. Let x(n) = -5*c(n) + 32*p(n). Determine d so that x(d) = 0.
-1, 2, 5
Suppose 45*a - 15 = 42*a. Suppose -2*p = -a*p + 2*p. Determine z so that 3/2*z**4 + p + 10/3*z**3 + 2/3*z**2 + 0*z = 0.
-2, -2/9, 0
Let q(m) = -m**3 - 6*m**2 + 8*m + 10. Let b be q(-7). Suppose -3*i + u + 2 = 3*u, b*i = 2*u + 10. Factor k**2 - 2*k**2 + k**2 - 3*k**i.
-3*k**2
Let z(a) = a**2 - 20*a + 66. Let w be z(16). Let b(s) be the second derivative of 0 + 1/12*s**4 - 2/3*s**3 - 6*s + w*s**2. Determine j so that b(j) = 0.
2
Let o(p) = -15*p**2 - 9*p + 6. Let d(t) = 3*t**2 - t - 1. Let c(j) = 6*d(j) + o(j). Find v such that c(v) = 0.
0, 5
Suppose -8*h**4 - 512/5*h**2 + 256/5*h**3 + 0 + 2/5*h**5 + 0*h = 0. Calculate h.
0, 4, 8
Let n = 5303/5 + -1060. Let q(v) be the first derivative of -6 - n*v**5 + 1/2*v**6 - 9/4*v**4 + v**3 + 0*v + 3*v**2. Suppose q(t) = 0. Calculate t.
-1, 0, 1, 2
Let t = -3 + 6. Suppose -1 + 4 = 3*j. Find k such that j + 3*k - k**2 - t*k = 0.
-1, 1
Let i(k) be the first derivative of -k**5/10 + k**3/3 - 11*k + 5. Let b(a) be the first derivative of i(a). Suppose b(o) = 0. Calculate o.
-1, 0, 1
Let b = -47652/7 + 6808. Let 4/7*u**3 + 0*u + 0 - b*u**5 - 4/7*u**2 + 4/7*u**4 = 0. What is u?
-1, 0, 1
Let m(o) be the first derivative of -o**6/48 + o**