f*g + 4*g**3 + 27*g**2 = 0?
-2, 1
Let g(l) be the third derivative of -l**5/30 + 2*l**4 + 27*l**3 - 27*l**2 + 4*l. Let g(c) = 0. Calculate c.
-3, 27
Let t(j) = 4*j**2 + 2*j + 2. Let d(c) = 4*c**2 + c + 1. Suppose 0 = 5*v - 49 - 31. Suppose -5*x = -x - v. Let w(z) = x*d(z) - 3*t(z). Solve w(o) = 0 for o.
-1/2, 1
Let v(c) be the first derivative of -12/5*c**2 - 2/5*c**3 - 32/5*c - 10 - 1/40*c**4. Factor v(y).
-(y + 4)**3/10
Let l(a) = 6*a**2 - a. Let w be l(1). Let s(k) be the first derivative of -8/3*k + 1/3*k**4 - 2/15*k**w + 4 - 4/3*k**2 + 2/3*k**3. Determine m so that s(m) = 0.
-1, 2
Let c(w) be the first derivative of -3*w**2 + 18 - 13/3*w**3 - 5/4*w**4 + 0*w. Determine u, given that c(u) = 0.
-2, -3/5, 0
Let b be (-1)/(-5)*(-11 - 236/(-16)). Let 0*o**4 - b*o**5 + 0*o + 9/4*o**3 + 0 + 3/2*o**2 = 0. What is o?
-1, 0, 2
Suppose -3*g - g = 200. Let a be (-10)/g + 3*(-3)/(-5). Factor 2/5*f**3 + 2/5*f + 0 - 4/5*f**a.
2*f*(f - 1)**2/5
Suppose 2*u + 1 - 7 = 0. Determine s so that 10*s**4 - 4*s**2 + s + 2*s**5 - 6 - 15*s + 6*s**3 + 0*s**u + 6*s**3 = 0.
-3, -1, 1
Let c(m) = -6*m**3 - 7*m**2 - 16*m. Let q(z) = -7*z**3 - 7*z**2 - 17*z + 1. Let n(u) = -6*c(u) + 5*q(u). Factor n(g).
(g + 1)**2*(g + 5)
Factor 16768 - 16768 + 28*l**3 + 30*l**2 + 2*l.
2*l*(l + 1)*(14*l + 1)
Let b(t) = -5*t**2 - 45*t - 5. Let z(j) = 7*j**2 + 44*j + 6. Let f(c) = -6*b(c) - 5*z(c). Find i, given that f(i) = 0.
0, 10
Let a(r) = 16*r**5 - 59*r**4 + 119*r**3 - 40*r**2 - 66*r - 6. Let j(c) = c**5 + c**4 - c**3 - c - 1. Let p(w) = -a(w) + 6*j(w). Let p(l) = 0. What is l?
-1/2, 0, 2, 3
Suppose 0 = l - 17 + 6. Determine q so that l*q + 2*q**3 + 18*q**2 + 3*q + 8*q**3 + 2*q**4 + 0*q**2 + 4 = 0.
-2, -1
Let r = 7 + 13. Let o = -20 + r. Solve o + u**2 + 0*u - 1/2*u**3 = 0.
0, 2
Let w = 5730 + -11459/2. Factor 0*v - 1/2*v**2 + w.
-(v - 1)*(v + 1)/2
Suppose 9*o - 25 - 11 = 0. Let c(b) be the first derivative of -1/2*b**3 + 3/8*b**2 + 0*b + 4 + 3/16*b**o. Determine f so that c(f) = 0.
0, 1
Let w(y) be the first derivative of 13 + 0*y + 1/10*y**5 - 1/6*y**3 + 3/4*y**4 - 3/2*y**2. Suppose w(n) = 0. Calculate n.
-6, -1, 0, 1
Suppose -3*d + 4*h = -10, -2*h + 0*h = -d + 6. Let c be (-3)/(-6)*((-112)/18)/d. Suppose -32/9*n + 8/9 + c*n**2 = 0. Calculate n.
2/7, 2
Suppose 7*x = -3*c + 27, 3*c = 4*x + 32 - 5. Suppose 10/7*j**2 + x*j + 0 + 2/7*j**3 = 0. Calculate j.
-5, 0
Suppose -3*q + 19 = 4*v + 2*q, q - 5 = -2*v. Let c be 0 + 2/2 + v. Factor 3*j**3 + 3*j**c - 3*j**3 - 3*j**3.
-3*j**2*(j - 1)
Suppose -3*q + 2*z - 6 + 21 = 0, 2*z - 3 = -3*q. Let p = 180 + -180. Factor 1/3*c + p - c**q + 2/3*c**4 + 0*c**2.
c*(c - 1)**2*(2*c + 1)/3
Let z(t) be the third derivative of 9*t**2 + 0*t**3 + 0 + 1/60*t**5 - 1/120*t**6 - 1/210*t**7 + 1/24*t**4 + 0*t. What is l in z(l) = 0?
-1, 0, 1
Let d be -53 - 48 - 3*(-8)/(-6). Let m be 0 + (-16)/(-7) + 103 + d. Find u such that -4/7*u + m + 2/7*u**2 = 0.
1
Let h(w) be the first derivative of w**5/20 - w**4/3 + w**3/6 + 3*w**2 - 26*w - 10. Let v(q) be the first derivative of h(q). Factor v(c).
(c - 3)*(c - 2)*(c + 1)
Let v(h) be the second derivative of -h**5/210 + h**4/126 + 2*h**3/63 - 13*h - 1. Let v(p) = 0. What is p?
-1, 0, 2
Let h(p) be the third derivative of 0 + 12*p**2 + 0*p + 5/6*p**3 + 1/6*p**5 - 1/6*p**6 + 5/6*p**4 - 1/14*p**7. Suppose h(q) = 0. What is q?
-1, -1/3, 1
Suppose -2*z + 9 = -3*y, -17 = -7*z + 2*z + 2*y. Determine j, given that 2*j**5 + 8*j**2 + 84*j**z - 2*j**4 - 3*j**5 - 6 - 5*j - 78*j**3 = 0.
-3, -1, 1, 2
Let k(q) be the second derivative of -q**5/80 + 5*q**4/48 - 7*q**3/24 + 3*q**2/8 + 5*q + 4. Factor k(d).
-(d - 3)*(d - 1)**2/4
Let h(a) be the third derivative of 0*a - 24*a**2 + 0*a**3 - 1/45*a**5 + 1/12*a**4 - 1/180*a**6 + 0. Factor h(p).
-2*p*(p - 1)*(p + 3)/3
Let o(y) be the first derivative of -2*y**6/3 + 6*y**4 - 32*y**3/3 + 6*y**2 - 67. Determine r, given that o(r) = 0.
-3, 0, 1
Suppose -2*n = o - 26 + 24, -2 = -n - o. Let 0*b - 3/4*b**2 + n = 0. Calculate b.
0
Let h(r) be the third derivative of r**8/5600 + r**7/1575 - r**6/360 - r**5/150 - 7*r**4/12 + 11*r**2. Let l(w) be the second derivative of h(w). Factor l(b).
2*(b - 1)*(b + 2)*(3*b + 1)/5
Let a(t) be the first derivative of t**4/2 + 4*t**3/3 - 64*t**2 - 256*t + 657. Factor a(h).
2*(h - 8)*(h + 2)*(h + 8)
Let q(z) = z**2 + 9*z + 17. Let w = 21 - 28. Let c be q(w). Factor c*v**4 - 140 - 2*v**2 + 140 - 6*v**3 + 5*v**2.
3*v**2*(v - 1)**2
Let j(h) be the first derivative of h**6/3 + 6*h**5/5 - 3*h**4/2 - 14*h**3/3 + 6*h**2 + 457. Let j(n) = 0. Calculate n.
-3, -2, 0, 1
Let c(q) be the third derivative of q**8/168 - 19*q**7/105 + 23*q**6/12 - 241*q**5/30 + 52*q**4/3 - 64*q**3/3 + 11*q**2 + 5. Find u such that c(u) = 0.
1, 8
Determine m, given that -25/4*m**3 + 35/2 - 155/4*m + 55/2*m**2 = 0.
1, 7/5, 2
Let w = -910/3 + 607/2. Let j(c) be the first derivative of w*c**3 + 0*c**2 + 9 + 0*c + 1/16*c**4. Let j(f) = 0. Calculate f.
-2, 0
Let n(z) = -3*z**4 - 6*z**3 + 2*z. Let k(d) = 3*d**4 + 12*d**3 - 5*d. Let h(j) = 2*k(j) + 5*n(j). Let h(f) = 0. Calculate f.
-2/3, 0
Factor 915*m**2 - 915*m**2 + 40*m**3 + 4*m**4.
4*m**3*(m + 10)
Let a be (2/14)/(38/2926) - 6. Suppose 5/4*i**3 - i**4 - 1/2*i**2 + 1/4*i**a + 0*i + 0 = 0. What is i?
0, 1, 2
Suppose 0*f - f + 4*d = -17, -18 = -3*f + d. Suppose -z + 5*i = 2 + 21, -27 = -z - f*i. Factor 4/5 + 1/5*c**z + 4/5*c.
(c + 2)**2/5
Suppose 15*d - 496 = -466. Factor 9/2*a - 1 - d*a**2.
-(a - 2)*(4*a - 1)/2
Suppose -4*t - 2*a + 314 = t, 2 = a. Let g = t - 60. Solve -3/7*w**5 + 3/7*w**3 + 0*w + 0 + 0*w**4 + 0*w**g = 0.
-1, 0, 1
Let p(t) = 8*t + 8. Let a(c) = -14*c**2 + 5*c**2 + 7*c**2 + 3*c**2 + 25*c + 24. Let y(z) = -4*a(z) + 14*p(z). Solve y(o) = 0 for o.
-1, 4
Determine v so that 2916 + 4/9*v**2 - 72*v = 0.
81
Let t be ((-4)/3)/(39/(-156)). Let m(z) be the first derivative of 4*z**2 + 5 + t*z**3 + z. Factor m(b).
(4*b + 1)**2
Let u(y) be the first derivative of -y**3/12 - y**2/8 + y/2 + 27. Determine k so that u(k) = 0.
-2, 1
Let v(b) = -b**5 - 5*b**4 - 4*b**3 - 11*b**2 - 4*b. Let t(m) = -m**4 - m**3 - m**2. Let w be ((-2)/3)/(2/(-9)). Let r(j) = w*v(j) - 21*t(j). Factor r(i).
-3*i*(i - 2)**2*(i + 1)**2
Let n(q) be the first derivative of 9*q**2/2 - 51*q + 25. Let r be n(6). Determine p, given that 4/9*p**r + 0 + 0*p - 4/9*p**5 + 2/9*p**2 - 2/9*p**4 = 0.
-1, -1/2, 0, 1
Suppose -12*b = 2 - 26. Let y(j) be the second derivative of 1/12*j**3 + 0 - 5*j - 1/24*j**4 + 0*j**b. Factor y(n).
-n*(n - 1)/2
Let -355/4*j**2 + 675/2*j**3 - 55 + 125/4*j**4 - 225*j = 0. Calculate j.
-11, -2/5, 1
Let n(u) be the second derivative of 7/20*u**5 + 23/36*u**4 - 35*u + 0 - 1/30*u**6 - 1/18*u**7 + 0*u**2 + 1/3*u**3. Determine v, given that n(v) = 0.
-1, -3/7, 0, 2
Let r(l) be the third derivative of -l**11/213840 - l**10/75600 - l**9/136080 - 11*l**5/60 - 5*l**2. Let f(i) be the third derivative of r(i). Factor f(a).
-2*a**3*(a + 1)*(7*a + 2)/9
Let o(i) be the third derivative of -i**7/1155 + i**6/220 - i**5/165 + 4*i**2 + 21*i. Factor o(m).
-2*m**2*(m - 2)*(m - 1)/11
Let x be 35/10*(-25)/(-175). Factor 1/2*w**4 + x*w**3 + 0 - 1/2*w - 1/2*w**2.
w*(w - 1)*(w + 1)**2/2
Let d(f) be the first derivative of -15*f**3 + 0*f**3 + 5*f**2 + f**5 + 38 + 10*f**3. Let d(q) = 0. What is q?
-2, 0, 1
Let k(o) be the third derivative of -o**7/7560 - o**6/864 + o**5/240 + 5*o**4/8 + 12*o**2. Let t(m) be the second derivative of k(m). Factor t(n).
-(n + 3)*(2*n - 1)/6
Let y(k) = -5*k + 20. Let a be y(10). Let i = a - -32. Factor -1/5*u**4 + 0 - 3/5*u**i - 1/5*u - 3/5*u**3.
-u*(u + 1)**3/5
Find p, given that -1/2*p**4 + 19/2*p**3 - 39*p**2 + 100 - 70*p = 0.
-2, 1, 10
Let h(o) be the second derivative of o**5/10 + 2*o**4/3 - 7*o**3 - 23*o - 9. Solve h(i) = 0.
-7, 0, 3
Factor 25/3*a**3 + 0 + 0*a + 20/3*a**2 + 5/3*a**4.
5*a**2*(a + 1)*(a + 4)/3
Let z(s) be the second derivative of -3*s + 0*s**3 + 0*s**2 - 1/70*s**5 + 0 - 2/21*s**4. Factor z(k).
-2*k**2*(k + 4)/7
Let u be (-204)/(-90) - 15/9. Let v(o) be the first derivative of -3*o**3 - 9/4*o**4 - 3/2*o**2 - 5 + 0*o - u*o**5. Suppose v(r) = 0. Calculate r.
-1, 0
Let a(y) be the second derivative of y**5/60 + y**4/18 - 7*y**3/18 + 2*y**2/3 - 2*y + 29. Suppose a(g) = 0. What is g?
-4, 1
Let x(g) be the second derivative of 3*g**6/5 - 21*g**5/10 + 2