130*g**3 - 251 = 0. Calculate g.
1, 23
Suppose 2 - 8 = -3*q. Suppose -18 + 13 + 4*n**q + 41 - 24*n = 0. Calculate n.
3
Determine q, given that 27/2*q**2 + 0 + 21/2*q**3 + 3*q = 0.
-1, -2/7, 0
Let x(a) be the third derivative of a**8/1344 + a**7/280 - a**6/120 - a**5/20 + 136*a**2. Solve x(o) = 0 for o.
-3, -2, 0, 2
Let g(h) be the first derivative of h**9/3024 - h**7/840 - 11*h**3/3 - 12. Let p(k) be the third derivative of g(k). Find x, given that p(x) = 0.
-1, 0, 1
Let u(r) be the third derivative of -r**7/140 - r**6/8 + 3*r**5/5 - 408*r**2. Let u(a) = 0. What is a?
-12, 0, 2
Let b(u) be the second derivative of u**7/420 + u**6/240 - u**5/120 - u**4/48 - 8*u**2 + 23*u. Let y(d) be the first derivative of b(d). Solve y(r) = 0 for r.
-1, 0, 1
Let h(d) be the second derivative of -d**6/50 - 21*d**5/100 - 9*d**4/10 - 2*d**3 - 12*d**2/5 - 136*d. Suppose h(a) = 0. Calculate a.
-2, -1
Let w(a) be the first derivative of 4*a**3/3 + 344*a**2 + 29584*a + 285. Solve w(l) = 0.
-86
Suppose 43*o**3 - 439*o + 12*o**4 + o**5 + 905*o + 60*o**2 - 438*o = 0. Calculate o.
-7, -2, -1, 0
Suppose -10 = 2*i - 3*n, -143*i + 142*i + 3*n - 14 = 0. Factor -32/15*p + 64/15 + 4/15*p**i - 32/15*p**2 - 2/15*p**5 + 16/15*p**3.
-2*(p - 2)**3*(p + 2)**2/15
Let z(u) be the third derivative of -u**5/270 + 8*u**4/27 - 256*u**3/27 + 2*u**2 - 2. Suppose z(f) = 0. What is f?
16
Let i(q) be the second derivative of q**6/165 + q**5/55 - q**4/6 - 4*q**3/11 - 72*q. Factor i(w).
2*w*(w - 3)*(w + 1)*(w + 4)/11
Let k(d) be the third derivative of -5*d**5/6 + 115*d**4/8 + 35*d**3/6 + 290*d**2. Solve k(w) = 0.
-1/10, 7
Let j = -306 + 5818/19. Let k = j + 26/57. Factor -4/3*h + k + 2/3*h**2.
2*(h - 1)**2/3
Suppose 5*p = -3*r + 10, -5*r = 3*p - 59 + 53. Factor -8/11*u**2 + r - 2/11*u**3 - 6/11*u.
-2*u*(u + 1)*(u + 3)/11
Let i = 1/3971 - -71471/27797. Find g such that 0*g**2 - i*g**3 + 8/7*g + 6/7*g**5 + 0 + 4/7*g**4 = 0.
-2, -2/3, 0, 1
Let q(r) = 5*r**3 - 10*r**2 + r - 2. Let g(o) = 9*o**3 - 18*o**2 + 2*o - 4. Let l(a) = -6*g(a) + 11*q(a). Solve l(i) = 0 for i.
-1, 1, 2
Let n = -9663/5 - -1933. Solve -n + 1/5*s**2 - 1/5*s = 0.
-1, 2
Let u(m) be the first derivative of -m**7/210 - m**6/30 - m**5/10 - m**4/6 + 14*m**3/3 + 9. Let x(v) be the third derivative of u(v). Solve x(k) = 0.
-1
Let q(h) be the third derivative of -h**6/6 - 4*h**5/45 + 44*h**2 + 2*h. Factor q(c).
-4*c**2*(15*c + 4)/3
Let r = -66 - -71. Factor r*m**5 - 9*m - 5*m**3 + 24*m - 15*m.
5*m**3*(m - 1)*(m + 1)
Suppose 19*n - 22*n - 711 = 0. Let z = -2605/11 - n. Factor z*t**3 + 4/11*t + 0 + 6/11*t**2.
2*t*(t + 1)*(t + 2)/11
Suppose -1 - 15 = 4*c. Let n(x) = x**2 + 2. Let q(s) = 1. Let j(a) = c*q(a) + 2*n(a). Let d(m) = m**3 + 3*m**2 + m. Let r(v) = 2*d(v) - 5*j(v). Factor r(k).
2*k*(k - 1)**2
Let h be 27*8/12 - 2. Let g = h + -5. Suppose -5 + 20*p - p**2 - g - 3*p**2 + 0*p**2 = 0. What is p?
1, 4
Let q be 5/(1/(8/20)). Suppose q*z - 4 + 0 = 0. Factor -9 + 0*u**2 - 11 + 4 + 4*u**z.
4*(u - 2)*(u + 2)
Let g(h) = -8*h**4 - 20*h**3 + 40*h**2 + 80*h - 100. Let x(i) = -i**4 - 1. Let q(j) = -g(j) + 4*x(j). What is t in q(t) = 0?
-6, -2, 1, 2
Let h(m) = 2*m**3 - 16*m**2 + 14*m. Let i(n) = -4*n**3 + 32*n**2 - 28*n. Let v(k) = 5*h(k) + 2*i(k). Factor v(w).
2*w*(w - 7)*(w - 1)
Let i(c) be the first derivative of -c**6/18 - c**5/15 + c**4/6 + 160. Suppose i(s) = 0. Calculate s.
-2, 0, 1
Let u(f) be the first derivative of -f**4/16 + 5*f**3/12 + f**2/8 - 5*f/4 - 5. Suppose u(q) = 0. What is q?
-1, 1, 5
Factor 2*g - 132*g**2 + 174 - 347 + 177.
-2*(6*g + 1)*(11*g - 2)
Let i(x) be the first derivative of 1/10*x**4 - 8/5*x + 2/15*x**3 - 12 - 4/5*x**2. Solve i(p) = 0.
-2, -1, 2
Let a(g) be the third derivative of g**8/784 - g**7/98 + g**6/40 - 3*g**5/140 - 12*g**2 - 9. Find u, given that a(u) = 0.
0, 1, 3
Let f(m) be the third derivative of m**5/90 - 5*m**4/12 + 14*m**3/9 + 783*m**2. Suppose f(x) = 0. Calculate x.
1, 14
Let k(s) be the third derivative of -9*s**6/10 - 3*s**5/5 + s**4/2 + 2*s**3/3 - 13*s**2 - 2*s. Solve k(i) = 0 for i.
-1/3, 1/3
Let g(v) be the third derivative of 0 - 18*v**2 - 1/8*v**4 + 0*v**3 + 1/40*v**5 + 0*v. Let g(t) = 0. What is t?
0, 2
Let c(t) be the third derivative of t**5/45 + 8*t**4/3 - 2*t**2 + 22. Factor c(i).
4*i*(i + 48)/3
Let t(d) = -44 + 8*d + 8*d + d**2 + 10. Let h be t(-18). Suppose -1 + 3/4*y**3 - y + 5/4*y**h = 0. What is y?
-2, -2/3, 1
Let n(y) = -2*y**4 + 4*y**3 - 8*y**2 + 6. Let u(q) = -q**4 + 1. Let m be 1/((1 - 3)/(-2)). Let l(w) = m*n(w) - 6*u(w). Factor l(z).
4*z**2*(z - 1)*(z + 2)
Let f(z) be the third derivative of z**5/120 - z**4/4 + 11*z**3/12 - 2*z**2 + 8. Factor f(k).
(k - 11)*(k - 1)/2
Let h(v) be the third derivative of v**8/84 + 4*v**7/105 + v**6/30 + v**2 - 149*v. Factor h(b).
4*b**3*(b + 1)**2
Let r be (4 + (-6)/1)/(-1). Determine m, given that 2*m**r + 11*m + 11*m - 32*m = 0.
0, 5
Let n(j) be the first derivative of -j**3/9 + 9*j**2 - 243*j + 82. Solve n(x) = 0.
27
Factor -1/4*y**4 - 4*y + 7/4*y**3 + 5/2*y**2 + 0.
-y*(y - 8)*(y - 1)*(y + 2)/4
Let t(p) be the third derivative of -p**8/1680 - p**7/280 + p**6/360 + p**5/40 + 5*p**3/6 + 33*p**2. Let l(c) be the first derivative of t(c). Solve l(g) = 0.
-3, -1, 0, 1
Let r(v) be the first derivative of -v**4/6 - 2*v**3/3 + 3*v**2 - 22*v + 20. Let p(a) be the first derivative of r(a). Let p(w) = 0. Calculate w.
-3, 1
Suppose 5*f + 3*p + 39 = 0, f + 21 = 5*p - 10*p. Let l be (-22)/f - 14/21. Factor -1/2*t**l + t + 0 + 1/2*t**2.
-t*(t - 2)*(t + 1)/2
Let a(w) = -5*w - 1. Suppose -6 = 5*f + f. Let i be a(f). Let 3*j**i + 10 + 0*j**4 - 10 = 0. Calculate j.
0
Let c(t) be the second derivative of -t**6/6 - 19*t**5/4 - 85*t**4/12 + 95*t**3/6 + 45*t**2 + 192*t. Factor c(k).
-5*(k - 1)*(k + 1)**2*(k + 18)
Let z(d) = -3*d**4 + 2*d**3 + 12*d**2 + 2*d + 0*d**3 - 9*d**2. Let b(g) = -4*g**4 + 3*g**3 + 4*g**2 + 3*g. Let r(v) = 2*b(v) - 3*z(v). Factor r(m).
m**2*(m - 1)*(m + 1)
Let l(h) be the first derivative of -h**4/3 + 3*h + 11. Let y(i) be the first derivative of l(i). Factor y(w).
-4*w**2
Let y(z) = 14*z**4 + 8*z**3 + 2*z**2 - 4*z. Let p(s) = 31*s**4 + 17*s**3 + 5*s**2 - 8*s. Let a(k) = -4*p(k) + 9*y(k). Factor a(t).
2*t*(t - 1)*(t + 1)*(t + 2)
Let t be (4/78)/(1680/3640). Factor -1/9*g**5 + 0*g**2 + 0*g**4 + 0*g + 0 + t*g**3.
-g**3*(g - 1)*(g + 1)/9
Let f = -20 + 25. Suppose 5 = 5*d - f. Factor -s + s**3 + 3*s**d - 2*s - 2*s + 7*s.
s*(s + 1)*(s + 2)
Suppose -9*y + 7*y + 8 = 0. Let -2*i**4 + 24*i**2 + 6*i**3 - 21*i**2 - 6*i - i**y = 0. Calculate i.
-1, 0, 1, 2
Let 3/4*m**5 + 486*m**2 + 2187/4*m + 18*m**4 + 297/2*m**3 + 0 = 0. What is m?
-9, -3, 0
Let y(m) be the third derivative of -2*m**2 + 0*m**3 - 1/20*m**5 + 0*m + 0 + 1/20*m**6 - 1/4*m**4 + 1/70*m**7. Factor y(r).
3*r*(r - 1)*(r + 1)*(r + 2)
Factor 236/3*b - 2/3*b**2 - 78.
-2*(b - 117)*(b - 1)/3
Factor 0 - 3/4*c**2 - 51/4*c.
-3*c*(c + 17)/4
Suppose -5*q = 5*j - 10, 5*q - 31 = 2*j - 0*j. Solve -20*f + 20*f + f**4 - f**q = 0.
0, 1
Suppose -1/2*n - 1/4*n**2 - 1/4 = 0. Calculate n.
-1
Suppose -20*p = -19*p - 38. Factor -46*k**2 + p*k + 34*k + 18*k**4 + 16 + 78*k**3 + 162*k**2.
2*(k + 1)*(k + 2)*(3*k + 2)**2
Suppose 0*b - 36 = -4*b + 4*a, 3*b + 13 = -5*a. Determine r so that 5*r**b + 625 + 450*r**2 + 460*r + 566*r + 80*r**3 - 26*r = 0.
-5, -1
Let z(g) = 2*g + 8. Let p be 3 + (-5)/5 + -5. Let k be z(p). Solve -2*x**3 + 2*x + 1/2*x**k - 1/2 = 0 for x.
-1, 1/4, 1
Let r be 2/8 - (0/8)/3. Let n(g) be the second derivative of 1/30*g**6 - 1/6*g**3 + 0 + 2*g + 1/20*g**5 - r*g**4 + g**2. What is k in n(k) = 0?
-2, -1, 1
Let p(i) be the first derivative of -i**7/840 + i**6/540 + 7*i**5/360 + i**4/36 - 3*i**3 + 7. Let a(b) be the third derivative of p(b). Factor a(k).
-(k - 2)*(k + 1)*(3*k + 1)/3
Factor -47*c**2 + 82*c**2 - 3*c**4 - 32*c**2.
-3*c**2*(c - 1)*(c + 1)
Let t(m) be the third derivative of m**5/180 - 2*m**3/9 - 126*m**2. Factor t(b).
(b - 2)*(b + 2)/3
Let a(q) = -3*q**2 - 33*q - 108. Let d(n) = -n. Let i(s) = a(s) + 3*d(s). Factor i(o).
-3*(o + 6)**2
Let i(z) = -9*z**4 - 230*z**3 - 4*z**2 - 4*z - 4. Let m(q) = -35*q**4 - 915*q**3 - 15*q**2 - 15*q - 15. Let d(g) = 15*i(g) - 4*m(g). Factor d(t).
5*t**3*(t + 42)
Let g(i) = -i**4 + i**2 - 7. Let k(y) = 8*y**4 - 20*y**3 - 142*y**2 - 204*y - 48. Let l(a) = -12*g