/14*w**2 + 0. Solve i(k) = 0 for k.
-1/3
Let d(b) be the first derivative of -b**4 - 16*b**3/3 - 8*b**2 - 5. Factor d(i).
-4*i*(i + 2)**2
Let s(j) be the first derivative of j**2/2 + 9*j + 1. Let t be s(-7). What is i in -8*i**3 - 6 + 6 + 5*i**4 + 2*i + i**t = 0?
-2/5, 0, 1
Let s = 265 + -163. Suppose 0 = -5*p - 3*d + s, 0 = 5*p + d + 3*d - 106. Factor -8 - 13*m**2 - p*m**3 - m**2 - 32*m - 28*m**2.
-2*(m + 1)*(3*m + 2)**2
Solve -l**4 - 11*l**2 - 13 + 32*l - 3 - 13*l**2 + 8*l**3 = 0.
2
Let p(m) be the first derivative of 2*m**6/3 - 16*m**5/5 + 2*m**4 + 16*m**3/3 - 6*m**2 - 21. Let p(s) = 0. Calculate s.
-1, 0, 1, 3
Let v(r) be the first derivative of 2/5*r**5 + 3/8*r**4 - r**2 + 1/12*r**6 + 0*r - 2/3*r**3 + 3. Factor v(h).
h*(h - 1)*(h + 1)*(h + 2)**2/2
Determine y so that 2 - 5 - 3*y**2 - 3*y**3 + 3 + 3*y + 3*y**4 = 0.
-1, 0, 1
Let d(f) be the second derivative of -f**6/70 - 3*f**5/35 - 3*f**4/14 - 2*f**3/7 - 3*f**2/14 - 13*f. Factor d(w).
-3*(w + 1)**4/7
Let c(z) = z - 5. Let v be c(7). Suppose 2*d - 9 = -b + d, 5*b + 2*d - 30 = 0. Factor 2/3*s**v + 1/3*s**5 + 2/3*s**3 - s - s**b + 1/3.
(s - 1)**4*(s + 1)/3
Let w(f) be the third derivative of 0*f + 0*f**3 + 7*f**2 + 0*f**6 + 0 + 1/105*f**5 - 2/735*f**7 + 1/84*f**4 - 1/1176*f**8. Factor w(h).
-2*h*(h - 1)*(h + 1)**3/7
Let u be 2 + 12*4/(-27). Let f(q) be the first derivative of -4/3*q + 3 + u*q**3 - 1/3*q**2. Factor f(w).
2*(w - 2)*(w + 1)/3
Let d be 20/(-200) + (-26)/(-60). Determine m so that 0*m + 0 - d*m**2 = 0.
0
Suppose -3*z - 25 = -8*z. Let g be 6/9*3/z. Suppose g + 4/5*d**3 - 6/5*d + 4/5*d**2 + 2/5*d**5 - 6/5*d**4 = 0. Calculate d.
-1, 1
Let d(u) be the second derivative of -u**6/75 + u**5/25 + u**4/30 - 2*u**3/15 - 6*u. Suppose d(a) = 0. Calculate a.
-1, 0, 1, 2
Suppose -4*b = 2*r + 10, 0 = 3*b - 8*b - 2*r - 10. Let d(f) be the third derivative of 0 - 1/330*f**5 + b*f - 1/33*f**3 + 1/66*f**4 - 3*f**2. Factor d(n).
-2*(n - 1)**2/11
Let f(s) = -6*s**2 - 14*s + 18. Let p(q) = q**2 + q - 1. Let k(i) = -f(i) - 2*p(i). Determine r, given that k(r) = 0.
-4, 1
Solve 2*p**4 + 4*p**3 - p**2 - 2*p - p**4 - 4*p**5 + 2*p = 0.
-1, 0, 1/4, 1
Let y(t) be the second derivative of 1/40*t**5 - 1/24*t**3 - 1/168*t**7 + 1/8*t**2 + 0 + 1/120*t**6 - 1/24*t**4 - 2*t. Let y(a) = 0. What is a?
-1, 1
Suppose -7*m + 2*m + 25 = 0. Suppose -4*y - 4 = -5*y. Solve -2 + m*o - o - y*o**3 - 3*o**4 + 5*o**4 = 0 for o.
-1, 1
Let t = 157 - 157. Find d, given that -6/11*d**4 + 2/11*d**5 + 0*d + 0*d**3 + 0 + t*d**2 = 0.
0, 3
Let o(r) = -5*r**2 + r + 1. Let p(x) be the second derivative of x**4/12 + x**3/6 - x**2/2 - 4*x. Let s(n) = o(n) + 3*p(n). Factor s(v).
-2*(v - 1)**2
Let j be 1 + (-2*4 - -3). Let s = j + 6. Factor -6/7 + 18/7*w**3 - 66/7*w**s + 38/7*w.
2*(w - 3)*(3*w - 1)**2/7
Suppose 2*w + 1 = 2*i - i, 2 = -5*w + 2*i. Factor 0 - 1/4*f**5 + 1/4*f**2 + w*f + 3/4*f**4 - 3/4*f**3.
-f**2*(f - 1)**3/4
Let z(i) be the third derivative of -i**6/1200 + 7*i**5/600 - i**4/16 + 3*i**3/20 - 6*i**2. Factor z(h).
-(h - 3)**2*(h - 1)/10
Let n(m) be the third derivative of m**6/210 - m**4/6 - 4*m**3/7 + 3*m**2. Factor n(o).
4*(o - 3)*(o + 1)*(o + 2)/7
Let v(d) be the second derivative of d**7/21 - 13*d**6/75 + 9*d**5/50 + d**4/30 - 2*d**3/15 - 27*d. Solve v(c) = 0.
-2/5, 0, 1
Factor 0 + 1/6*w**3 + 11/3*w**2 + 121/6*w.
w*(w + 11)**2/6
Let w(u) be the third derivative of -u**5/210 - 8*u**4/21 - 256*u**3/21 + 4*u**2 + 4*u. Find o, given that w(o) = 0.
-16
Suppose -6*r = -12 - 18. Suppose -2*d - 12 = -r*d. Factor 0*g + 0 + 2/5*g**3 + 0*g**2 + 4/5*g**d + 2/5*g**5.
2*g**3*(g + 1)**2/5
Suppose y**2 - 5*y**3 - 4 + 16*y + 5*y**3 - 4*y**3 = 0. What is y?
-2, 1/4, 2
Suppose -1 = s - 3. Let -1 - 2*z**s - 2*z**3 - z**2 + z**3 + 2*z**3 + 3*z = 0. Calculate z.
1
Let b = -229 + 231. Factor 1/2*y**b + y + 0.
y*(y + 2)/2
Let c be 1 - ((-2 + 0)/2 + 2). Factor c - 2/7*g - 12/7*g**3 - 2/7*g**5 - 8/7*g**2 - 8/7*g**4.
-2*g*(g + 1)**4/7
Let t(y) be the third derivative of 0 - 1/30*y**5 + 0*y**3 - 1/24*y**4 + 3*y**2 + 0*y. Factor t(d).
-d*(2*d + 1)
Suppose 0 = w - 5*w + 56. Let g = w + -11. Factor -1/2*x**g + 0 - x**2 - 1/2*x.
-x*(x + 1)**2/2
Suppose -i + 0*i = 2*d + 8, 5*d + 20 = i. Let 0*b + i + 2/3*b**4 - 4/3*b**2 + 2/3*b**3 = 0. Calculate b.
-2, 0, 1
Let x(g) be the second derivative of 2/5*g**2 + 1/5*g**4 - 7/15*g**3 + 0 + g. Determine f so that x(f) = 0.
1/2, 2/3
Factor 98*m**2 - 18*m - 38*m + 5 + 3.
2*(7*m - 2)**2
Suppose 3*x - 6 = -0*x. Factor 0*c + 1/6*c**4 + 1/6*c**x + 0 + 1/3*c**3.
c**2*(c + 1)**2/6
Let q(g) be the third derivative of g**5/60 - 5*g**4/12 + 17*g**3/6 - 3*g**2. Let h(s) = 3*s - 6. Let v(k) = -8*h(k) - 3*q(k). Factor v(b).
-3*(b - 1)**2
Let n(t) = -t + 9. Let g be n(7). Factor -2 + x**2 - g*x + 2*x**2 + 12*x**3 - 10*x**3 - x**2.
2*(x - 1)*(x + 1)**2
Let v(s) = s**3 + s**2 + 1. Let u be 1*(-6)/(3/(-1)). Let a(m) = -12*m**3 - 14*m**2 - 6*m - 18. Let z(j) = u*a(j) + 28*v(j). Let z(t) = 0. What is t?
-1, 2
Let k(a) be the first derivative of 4/5*a + a**2 + 8/15*a**3 - 1 + 1/10*a**4. Solve k(t) = 0.
-2, -1
Let a(z) be the second derivative of z + 27/2*z**2 + 1/4*z**4 - 3*z**3 + 0. Factor a(h).
3*(h - 3)**2
Let b(j) be the third derivative of -1/75*j**5 - 1/60*j**4 + 2/15*j**3 + 0 + 1/300*j**6 + 5*j**2 + 0*j. Find u such that b(u) = 0.
-1, 1, 2
Suppose -6*p - 1085 = -1103. What is j in -15/2*j - 3/2*j**p + 3 + 6*j**2 = 0?
1, 2
Let v(o) = -22*o**2 - 2*o. Let z(d) = -23*d**2 - 3*d. Let r(p) = -4*v(p) + 3*z(p). Let k(x) = 9*x**2. Let l(q) = -7*k(q) + 3*r(q). Determine f so that l(f) = 0.
-1/2, 0
Let y(x) = -x. Let z(u) = -2*u**2 - 7*u - 2. Let j(f) = -6*y(f) + 2*z(f). Suppose j(b) = 0. Calculate b.
-1
Let l(g) be the first derivative of -g**4/8 + g**3/6 + g**2/4 - g/2 - 24. Factor l(i).
-(i - 1)**2*(i + 1)/2
Let p(s) = -6*s**2 - 18*s - 30. Let v(f) = f**2 + 1. Let r(i) = -p(i) - 3*v(i). Factor r(y).
3*(y + 3)**2
Suppose f - 2 = -19. Let t = -15 - f. Factor -y**t + 0 - 1/2*y**3 - 1/2*y.
-y*(y + 1)**2/2
Let r = -6/271 + 631/16260. Let g(u) be the third derivative of 1/300*u**6 - 1/75*u**5 + 0*u**3 - 2*u**2 + 0 + r*u**4 + 0*u. Factor g(q).
2*q*(q - 1)**2/5
Let y(o) = o + 9. Let w be -4*-1*(-3)/2. Let q be y(w). Let -6/7*a**q + 0 + 2/7*a**2 + 0*a = 0. Calculate a.
0, 1/3
Factor -32 - 224*l**2 + 163*l + 13*l + 30*l**3 - 56*l**2 + 70*l**3.
4*(l - 2)*(5*l - 2)**2
Let z(w) = -20*w**2 - 11*w. Let k(b) be the first derivative of 7*b**3/3 + 2*b**2 - 1. Let c(o) = -17*k(o) - 6*z(o). What is l in c(l) = 0?
0, 2
Let u(o) be the third derivative of o**8/5040 - o**7/630 + o**5/10 + 5*o**2. Let l(m) be the third derivative of u(m). Let l(w) = 0. What is w?
0, 2
Let k(h) be the second derivative of h**6/135 + h**5/90 - h**4/54 - h**3/27 + 33*h. Suppose k(r) = 0. Calculate r.
-1, 0, 1
Find m, given that -4*m + 2 - 2*m**2 + 0*m**2 + 9*m**2 - 5 = 0.
-3/7, 1
Let v be (-2 - 0)/(1 - 5). Suppose 1/2*m**3 + 3/2*m + 3/2*m**2 + v = 0. Calculate m.
-1
Let z(o) = -10*o + 12. Let w be z(1). Factor -1/2 + 5/4*r + 1/4*r**3 - r**w.
(r - 2)*(r - 1)**2/4
Let r(j) be the third derivative of j**9/423360 - j**8/47040 + j**7/11760 - j**6/5040 - j**5/12 + j**2. Let b(z) be the third derivative of r(z). Factor b(w).
(w - 1)**3/7
Let n(y) be the second derivative of y**10/151200 - y**8/11200 - y**7/6300 - y**4/4 - 2*y. Let c(m) be the third derivative of n(m). Factor c(j).
j**2*(j - 2)*(j + 1)**2/5
Suppose 4/13*m**2 - 16/13*m**4 + 2/13*m**3 + 0 + 10/13*m**5 + 0*m = 0. What is m?
-2/5, 0, 1
Let u(y) be the second derivative of y**7/70 + 2*y**6/25 + 3*y**5/25 - y**4/10 - y**3/2 - 3*y**2/5 - 2*y. Suppose u(f) = 0. What is f?
-2, -1, 1
Suppose 11*t = -3*t + 42. Find p, given that -8/5*p - 1/5*p**t - 4/5 - p**2 = 0.
-2, -1
Let c = -92 + 95. Factor -32/5*t**5 + 0*t + 2/5*t**2 - 18/5*t**c + 48/5*t**4 + 0.
-2*t**2*(t - 1)*(4*t - 1)**2/5
Let o be 14835/(-100) - 4/10. Let d = -148 - o. Factor d*r**2 + 3/4*r**3 + 1/4*r + 1/4*r**4 + 0.
r*(r + 1)**3/4
Let x = 2/15817 - -2910314/110719. Let h be (-18)/(-14) + (7 - 6). Determine l, given that -h - x*l - 182*l**3 - 98*l**4 - 108*l**2 = 0.
-1, -2/7
Let g(z) be the second derivative of z**7/105 - z**6/75 - 4*z. Factor g(j).
2*j**4*(j - 1)/5
Let w = 58 + -869/15. Let i(j) be the second derivative of 2/5*j**2 - 1/30*j**4 - w*j**3 + 0 + j. Suppose i(