4/32 + 5*g**3/4 + 7*g**2. Factor d(q).
-3*(q - 2)*(q + 5)/4
Let c(k) be the second derivative of -5*k**2 - 25/6*k**3 + 3*k + 10*k**4 + 27/4*k**5 + 0. Find u, given that c(u) = 0.
-1, -2/9, 1/3
Suppose -598 = 21*n + 32. Let j be (-190)/n - (8 + -3). Find a, given that 2*a - 2/3*a**2 - j = 0.
1, 2
Let f = -22 - -24. Factor z + 16*z + 3*z**3 - 7*z**3 - 8*z**f - 5*z.
-4*z*(z - 1)*(z + 3)
Let t = -37 + 49. Let p be 4*t/(-16) - (-58)/14. Suppose 6/7*h**2 + 2/7*h**4 - 8/7 - 8/7*h**3 + p*h = 0. Calculate h.
-1, 1, 2
Let f(a) = 9*a**2 + 5*a. Let u = -2 - 1. Let c(i) = 5*i**2 + 3*i. Suppose 3*q = 2*q + 5. Let g(d) = q*c(d) + u*f(d). Factor g(z).
-2*z**2
Solve 15*w**4 - 4*w**3 - 36*w + 13*w**3 + 36*w - w**2 - 5*w**2 = 0 for w.
-1, 0, 2/5
What is f in 722/5*f**2 + 152/5*f + 8/5 = 0?
-2/19
Let x(s) be the third derivative of -s**5/120 - 35*s**4/48 - 8*s**2 - 2. Suppose x(v) = 0. What is v?
-35, 0
Let z(i) be the second derivative of -3*i**5/100 - 3*i**4/10 - 4*i**3/5 + i + 79. Suppose z(m) = 0. Calculate m.
-4, -2, 0
Let a(p) = p**2 + p + 2. Let y be a(-2). Determine v so that -84*v**4 + 12*v**2 - y*v - v - v - 2*v + 80*v**3 = 0.
-1/3, 0, 2/7, 1
Let a(j) be the third derivative of j**6/240 - 7*j**5/30 - 59*j**4/48 - 5*j**3/2 - 220*j**2 + 2*j. Suppose a(p) = 0. What is p?
-1, 30
Suppose 0 = -4*b + 122 - 106. Suppose -z + 7 = b*i, 4*i - 14 = -4*z + 2. Factor 0 + 4/9*j**4 + 0*j**2 - 2/9*j**z + 0*j - 2/9*j**5.
-2*j**3*(j - 1)**2/9
Let x(j) be the first derivative of -j**4/2 + j**2 - 74. Determine r, given that x(r) = 0.
-1, 0, 1
Suppose 0*o = 5*o - 10. Suppose 0 = o*h - 5*u - 35, h = 3*h - u - 31. Determine w, given that w + 4*w - h*w**2 + w = 0.
0, 2/5
Let a(f) be the first derivative of -3*f**4/4 + 28*f**3 + 86. Factor a(g).
-3*g**2*(g - 28)
Let s = 690 + -2054/3. Let c(r) be the second derivative of 0 - 8/9*r**3 - 1/18*r**4 - s*r**2 + 2*r. Factor c(j).
-2*(j + 4)**2/3
Let j(d) = 2*d**3 - 43*d**2 + 280*d + 784. Let f(o) = -o**3 + 22*o**2 - 140*o - 392. Let b(c) = -9*f(c) - 4*j(c). Find p, given that b(p) = 0.
-2, 14
Let q = -60 + 50. Let o(n) = 13*n**2 - 5*n - 3. Let s(j) = -40*j**2 + 15*j + 10. Let b(g) = q*o(g) - 3*s(g). Factor b(c).
-5*c*(2*c - 1)
Let x(h) be the first derivative of 3*h**5/5 + 21*h**4/4 + h**3 - 81*h**2/2 + 54*h - 138. Suppose x(u) = 0. What is u?
-6, -3, 1
Let m = 17 - 8. Factor -2*l - 23*l + 36 - 12*l**2 - 59*l - m*l**2 + 15*l**3.
3*(l - 3)*(l + 2)*(5*l - 2)
Let m be (2/231)/(35/245). Let x(c) be the first derivative of 4/11*c - m*c**3 + 1/11*c**2 - 7. Suppose x(q) = 0. Calculate q.
-1, 2
Suppose -3/2*d**3 + 3/4*d**2 - 1/4*d**4 - 3 + 4*d = 0. What is d?
-6, -2, 1
Determine z, given that -2*z**4 + 386*z**2 + 54*z**3 - 228*z**3 + 129 + 120*z**3 - 805 + 4*z**4 - 234*z = 0.
-1, 2, 13
Let g be -7*(-3)/28*4. Let w(x) be the first derivative of 0*x - 3/2*x**2 - x**g + 3/5*x**5 + 3/4*x**4 - 6. Determine f, given that w(f) = 0.
-1, 0, 1
Let l(o) = -o**3 - 6*o**2 + 7*o + 9. Let w be l(-7). Let i = 11 - w. Factor -22*x + 3*x - 10 - 9*x + 5*x**3 - 15*x**i + 3*x + 5*x**4.
5*(x - 2)*(x + 1)**3
Let p(m) = -2*m**2 - 89*m. Let o(f) = 2*f**2 + 88*f. Let d(g) = -3*o(g) - 4*p(g). Determine n, given that d(n) = 0.
-46, 0
Let p = -4190/9 - -466. Let r = -36 + 40. Factor 0*d + p*d**3 + 0 - 2/9*d**r + 2/3*d**2.
-2*d**2*(d - 3)*(d + 1)/9
Factor 4/3*o**4 + 4/3*o**3 - 4/3 - 2/3*o**5 - 16/3*o**2 + 14/3*o.
-2*(o - 1)**4*(o + 2)/3
Let o = -119 - -122. Let g(m) = m**5 - m**4 - m**3 - m**2 + m. Let l(p) = 9*p**4 + 3*p**3 - 3*p**2 - 6*p. Let h(w) = o*g(w) + l(w). Factor h(v).
3*v*(v - 1)*(v + 1)**3
Suppose -q = 4*d - 26, -2*d + 2 = 4*q - 4. Factor -12 - 5*j**4 + 5 - 10*j**3 + d.
-5*j**3*(j + 2)
Let f(z) be the third derivative of -z**8/1344 + z**7/10 + 43*z**6/120 + z**5/120 - 57*z**4/32 - 43*z**3/12 - 297*z**2. Factor f(g).
-(g - 86)*(g - 1)*(g + 1)**3/4
Let g = 766 - 766. Let c(l) be the first derivative of -1/6*l**2 - 2 - 1/18*l**6 + g*l - 1/2*l**4 + 4/9*l**3 + 4/15*l**5. Factor c(z).
-z*(z - 1)**4/3
Let c(i) = 2*i**3 + 15*i**2 - 9*i - 8. Let u be 5*(96/(-20))/3. Let y be c(u). Factor q**4 + y + 0*q + 1/2*q**5 + 0*q**2 + 1/2*q**3.
q**3*(q + 1)**2/2
Let m(t) be the first derivative of 2 - 2/45*t**5 - 1/9*t**4 - 4/27*t**3 - 1/135*t**6 + t - 1/9*t**2. Let a(p) be the first derivative of m(p). Factor a(k).
-2*(k + 1)**4/9
Let l(i) be the third derivative of -1/30*i**5 + 0*i + 0*i**3 + 0*i**4 + 42*i**2 + 0. Find v, given that l(v) = 0.
0
Find l such that 3*l + 6*l**3 - 23*l**2 - 29*l**3 - 31*l**3 + 2*l**2 = 0.
-1/2, 0, 1/9
Let q(p) be the third derivative of -p**6/200 + 11*p**5/50 - 19*p**4/10 + 36*p**3/5 + 787*p**2. Factor q(a).
-3*(a - 18)*(a - 2)**2/5
Let u(c) be the second derivative of -c**8/10080 + c**6/2160 - 13*c**3/6 + 11*c. Let z(w) be the second derivative of u(w). Let z(v) = 0. Calculate v.
-1, 0, 1
Let p(o) be the third derivative of -3*o**7/175 - 23*o**6/300 - o**5/10 + o**4/20 + 4*o**3/15 + 7*o**2 - 15. Factor p(f).
-2*(f + 1)**3*(9*f - 4)/5
Solve -2/11*b**3 + 24/11 - 24/11*b**2 + 2/11*b = 0 for b.
-12, -1, 1
Let i(m) be the first derivative of -3*m**5/5 - 3*m**4 + m**3 + 6*m**2 + 18. Factor i(h).
-3*h*(h - 1)*(h + 1)*(h + 4)
Suppose 3/2*f**3 + 36*f + 0 - 21*f**2 = 0. What is f?
0, 2, 12
Let k(q) be the second derivative of -3*q**5/20 + 17*q**4/2 - 33*q**3/2 + 281*q. Factor k(x).
-3*x*(x - 33)*(x - 1)
Let y = 49 + -48. Let n be 6 - (y - 2)*(-2)/1. Let 0 - 3/4*t**n + 3/4*t**2 + 0*t + 0*t**3 = 0. Calculate t.
-1, 0, 1
Let n(w) be the first derivative of -80/3*w**3 + 12 + 128/9*w**2 + 24*w**4 - 42/5*w**5 - 32/9*w. Determine s, given that n(s) = 0.
2/7, 2/3
Suppose 17*i - 14*i - 12 = 0. Let z be (8/(-5))/i + 0 + 1. Find j such that 3/5*j - 3/5*j**3 - 3/5*j**2 + z = 0.
-1, 1
Let c be 55/19 + 30/285. Let -6*g**2 + 0 - 12*g - 3/4*g**c = 0. What is g?
-4, 0
Factor 9/2*p**2 - 27/2 - 39*p.
3*(p - 9)*(3*p + 1)/2
Solve 3*y**3 - 72/5 - 3/5*y**4 + 6*y**2 - 12*y = 0.
-2, -1, 2, 6
Let n(u) be the first derivative of -u**7/735 - u**6/140 + u**4/21 - 17*u**2/2 - 1. Let v(t) be the second derivative of n(t). Solve v(s) = 0 for s.
-2, 0, 1
Let n = 4096/105 + -578/15. Let c(x) be the second derivative of 7*x + 0 + 11/70*x**5 + 2/7*x**2 - n*x**4 + 1/3*x**3. Factor c(p).
2*(p - 1)**2*(11*p + 2)/7
Let p = -2/9 - -13/18. Suppose -62*d = 45*d - 28*d. Factor 1/6*x**3 - 1/6*x - p*x**2 + d + 1/2*x**4.
x*(x - 1)*(x + 1)*(3*x + 1)/6
Let x(d) be the second derivative of -2/21*d**7 + 0 + 43*d - 25/3*d**4 - 8*d**2 - 19/5*d**5 - 14/15*d**6 - 32/3*d**3. Solve x(g) = 0.
-2, -1
Let c(o) = 11*o**4 + 30*o**3 - 48*o**2 + 7*o + 17. Let l(d) = 2*d**4 + 5*d**3 - 8*d**2 + d + 3. Let i(b) = 6*c(b) - 34*l(b). Determine f, given that i(f) = 0.
0, 1, 2
Let o(l) be the second derivative of 2/9*l**2 + 1/30*l**5 + 5/27*l**4 + 1/3*l**3 - 8*l + 0. Determine b, given that o(b) = 0.
-2, -1, -1/3
Suppose 12/5*l**3 + 0*l + 0 + 0*l**2 + 2/5*l**5 + 2*l**4 = 0. Calculate l.
-3, -2, 0
Determine z, given that 2/17*z**3 + 6/17*z + 2/17 + 6/17*z**2 = 0.
-1
Let k(g) be the first derivative of -6*g**2 + 2*g**4 + 16/5*g**5 - 4 + 2/3*g**6 - 16/3*g**3 + 0*g. Determine i, given that k(i) = 0.
-3, -1, 0, 1
Let b(y) be the second derivative of -y**4/6 - 7*y**3 + 46*y**2 + 247*y + 2. Find o such that b(o) = 0.
-23, 2
Let y(z) be the first derivative of z**3/18 - 37*z**2/12 + 68. Suppose y(f) = 0. What is f?
0, 37
Let c(i) be the second derivative of -i**6/6 - 39*i**5/4 - 185*i**4/12 + 65*i**3/2 + 95*i**2 - 79*i. Let c(d) = 0. Calculate d.
-38, -1, 1
Determine a so that 3/2*a**4 + 14*a + 17/2*a**3 + 4 + 17*a**2 = 0.
-2, -1, -2/3
Let -2749*n**3 - 395*n + 59*n + 125*n**4 + 70*n**4 - 4091*n**3 - 3028*n**2 - 276*n**4 = 0. Calculate n.
-84, -2/9, 0
Let c(d) be the first derivative of -9/2*d**2 - 7/4*d**4 - 1/5*d**5 - 5*d**3 + 45 + 0*d. Factor c(h).
-h*(h + 1)*(h + 3)**2
Let c(l) be the first derivative of l**4/6 + 142*l**3/9 + 408*l**2 - 864*l + 207. Find d, given that c(d) = 0.
-36, 1
Let o(x) be the first derivative of x**4/42 + 2*x**3/21 - 3*x**2/7 - 7*x + 8. Let z(d) be the first derivative of o(d). Factor z(m).
2*(m - 1)*(m + 3)/7
Let u(p) be the third derivative of p**6/24 + 59*p**5/12 + 4495*p**4/24 + 4205*p**3/6 + 4*p**2 + 12*p. Factor u(h).
5*(h + 1)*(h + 29)**2
Let n be ((-3)/2*-4)/(-1 - -3). Let q(g) be the first deriv