**3 + 3*d**3 + 2*d**5 + d**3 - d**4 + 5*d**i.
2*d**3*(d + 1)**2
Let b be (3 - 3)/(-1) + (-24)/(-18). Factor 0 - b*t**2 + 2*t**3 + 2/9*t.
2*t*(3*t - 1)**2/9
Let l(g) be the third derivative of 0 + 0*g - 1/6*g**4 + 8/105*g**7 - 2/3*g**3 + 3/5*g**5 - 11/30*g**6 + g**2. Solve l(r) = 0 for r.
-1/4, 1
Let m(h) be the first derivative of h**5/10 - h**4/16 - 5*h**3/12 - h**2/4 + 20. Factor m(g).
g*(g - 2)*(g + 1)*(2*g + 1)/4
Let r(c) = -c**3 - c - 1. Let m(t) = -3*t**3 - 9*t - 6. Let o(y) = m(y) - 6*r(y). Let o(d) = 0. Calculate d.
-1, 0, 1
Find k, given that 3*k**2 - 30*k + 2 - k**2 + 26*k = 0.
1
Suppose -4*q + 0*q + 2 = 2*g, 2*q + 29 = 5*g. Factor -9*y**3 - g*y**4 + 17*y - 3*y**2 + 2*y**4 - 8*y + 6.
-3*(y - 1)*(y + 1)**2*(y + 2)
Let c(h) be the second derivative of h**4/48 - h**3/24 + 3*h. Factor c(q).
q*(q - 1)/4
Suppose 0 = 2*m - 3*l + 2*l, -4*m + 3*l - 4 = 0. Let x be 3/(3/6*m). Factor 2*v**2 - v**x - 2*v**3 - v**3 + 2*v**4.
2*v**2*(v - 1)**2
Let k(m) be the second derivative of m + 0*m**2 + 1/6*m**3 + 1/24*m**4 + 0 - 1/40*m**5. Let k(a) = 0. What is a?
-1, 0, 2
Let y(d) be the second derivative of -2*d**6/25 - 21*d**5/100 + 3*d**4/10 + 7*d**3/10 - 3*d**2/5 + d. Find c such that y(c) = 0.
-2, -1, 1/4, 1
Suppose -6 = -3*y, 3*i = -4*y + 2*y + 16. Let n be ((-6)/i)/(3/(-6)). Factor 2/7*b**2 + 0*b + 0 - 2/7*b**n.
-2*b**2*(b - 1)/7
Let y(i) be the second derivative of 49*i**5/20 - 35*i**4/6 - 26*i**3/3 - 4*i**2 - i. Factor y(c).
(c - 2)*(7*c + 2)**2
Let g(j) be the first derivative of 2 + 1/2*j**2 - 1/18*j**3 - 3/2*j. Solve g(x) = 0.
3
Let l(o) = -o**2 + 5*o. Let z be l(4). Suppose 4*y + 204 = 4*j, z*y - y + 203 = 4*j. Factor -j + 50 - 2*u**2 + 4*u.
-2*u*(u - 2)
Suppose 4*w + 0*w - 12 = 0. Let u be w + -3 + (-2)/(-1). Factor u*h**2 + 5*h**3 + h**2 - 5*h**2.
h**2*(5*h - 2)
Let l(f) be the second derivative of f**8/2100 + f**7/840 + f**6/1800 - f**3/2 - 4*f. Let m(a) be the second derivative of l(a). What is r in m(r) = 0?
-1, -1/4, 0
Let o(w) = -2*w**2 - 7*w + 5. Let x(p) = -8 + 5*p + 6 + p**2 - 2*p. Suppose -14 = -2*a - 6. Let n(f) = a*o(f) + 10*x(f). Find z such that n(z) = 0.
-1, 0
Let t(l) be the second derivative of 5*l**7/14 - 22*l**6/15 + 2*l**5 - l**4/2 - 7*l**3/6 + l**2 - 7*l. Factor t(a).
(a - 1)**3*(3*a - 1)*(5*a + 2)
Let 49/2*l**5 + 0 - 63*l**4 - 4*l**2 + 30*l**3 + 0*l = 0. What is l?
0, 2/7, 2
Let u(m) be the third derivative of m**9/241920 - m**5/20 + m**2. Let l(z) be the third derivative of u(z). Find o, given that l(o) = 0.
0
Let d = -4 + 7. Let c be ((-12)/d - -2) + 13. Factor -6*s**3 + 2 - 12*s**2 + 9*s - 4 + c*s**3.
(s - 1)**2*(5*s - 2)
Let n(h) be the third derivative of h**6/140 + h**5/210 - 2*h**4/21 + 4*h**3/21 - 19*h**2. Factor n(z).
2*(z - 1)*(z + 2)*(3*z - 2)/7
Let s = -8 + 14. Determine p, given that 0*p**5 + 5*p**4 + 3*p**2 + s*p**3 + p**5 - 8*p - 7*p**2 = 0.
-2, 0, 1
Find f such that -f**5 - 5*f**3 - 7*f**3 + 13*f**3 = 0.
-1, 0, 1
Let u = 122 + -72. Let t be (4/u)/(3/45). What is s in t*s**2 - 4/5 + 2/5*s = 0?
-1, 2/3
Factor -2/5*v**4 + 0*v + 0 + 2/5*v**2 - 2/5*v**5 + 2/5*v**3.
-2*v**2*(v - 1)*(v + 1)**2/5
Let z(n) = n**2 - n - 1. Let t = -17 + 7. Let r(m) = -8*m**2 + 4*m + 14. Let q(u) = t*z(u) - r(u). Find w such that q(w) = 0.
1, 2
Let l(i) = -2*i**2 - i + 2 + 4*i - 3*i. Let z(m) = -4*m**2 + 4. Let v(y) = -5*l(y) + 2*z(y). Let v(u) = 0. Calculate u.
-1, 1
Let j(w) be the first derivative of -w**4/2 + 4*w**3/5 - w**2/5 - 10. Find n such that j(n) = 0.
0, 1/5, 1
Let u(g) be the first derivative of g**8/112 + g**7/35 + g**6/40 - 3*g**2/2 - 1. Let f(l) be the second derivative of u(l). Suppose f(w) = 0. Calculate w.
-1, 0
Let m = -466 - -471. Find u such that 0 + 4/5*u**4 + 0*u + 0*u**2 + 0*u**3 - 2/5*u**m = 0.
0, 2
Let o = -20894/17 - -1231. Let v = 37/51 + o. Factor -2/3*b**4 - 2/3 - v*b - 4*b**2 - 8/3*b**3.
-2*(b + 1)**4/3
Suppose 0 = -2*p + 5*h + 19, 2*p + 4*h - 4 = -12. Factor -4*q + 5*q - 5*q + 2*q**2 + p*q.
2*q*(q - 1)
Let l(z) be the third derivative of 0 + 0*z**5 + 1/300*z**6 - 1/1050*z**7 - 1/60*z**4 + 2*z**2 + 0*z + 1/30*z**3. Factor l(m).
-(m - 1)**3*(m + 1)/5
Let i(h) be the third derivative of -1/2*h**3 - 9/16*h**4 + 6*h**2 + 0 - 1/4*h**5 + 0*h - 3/80*h**6. Factor i(r).
-3*(r + 1)*(r + 2)*(3*r + 1)/2
Suppose 0 = 5*k - 5*p + 25, 6*p - 15 = 5*k + 3*p. Suppose 0 = -4*s - 2*b - 0 + 8, 0 = -2*s - 2*b + 2. Factor 2/3*l**5 + 0*l**s + k*l + 0 - l**4 + 1/3*l**2.
l**2*(l - 1)**2*(2*l + 1)/3
Let d(v) be the first derivative of -v**4/12 + 2*v**3/3 - 2*v**2 - 2*v + 2. Let o(h) be the first derivative of d(h). Factor o(y).
-(y - 2)**2
Let x(r) be the third derivative of 0*r**3 + 0*r**7 + 0*r**4 - r**2 + 1/168*r**8 + 0*r - 1/60*r**6 + 0 + 0*r**5. Factor x(b).
2*b**3*(b - 1)*(b + 1)
Let o(k) be the second derivative of -k**5/50 + k**4/10 - 2*k**3/15 - 3*k. Suppose o(h) = 0. What is h?
0, 1, 2
Suppose -6*q = 5*q - 22. Let n(s) be the first derivative of 0*s - 1/10*s**5 + 0*s**q - 1/8*s**4 + 0*s**3 - 4. Suppose n(i) = 0. What is i?
-1, 0
Let h(d) be the third derivative of -2*d**7/105 + d**6/10 + 7*d**2. Solve h(c) = 0 for c.
0, 3
Let f(m) be the first derivative of -1/6*m**4 + 0*m**2 + 0*m**3 + 0*m + 5 - 1/9*m**6 - 4/15*m**5. Suppose f(g) = 0. What is g?
-1, 0
Let j = -481 - -1927/4. Let 3/4*c**3 + 0*c + 0 - 3/4*c**2 - j*c**5 + 3/4*c**4 = 0. What is c?
-1, 0, 1
Suppose r + 4 = 4*n - 3*r, -r + 1 = 0. Suppose -1/3*w**5 + w**n - 1/3*w**3 - w**4 + 0 + 2/3*w = 0. Calculate w.
-2, -1, 0, 1
Suppose -4*b + 22 = -2*n - n, 5*b + 5*n = 10. Suppose 0 = -v - 3*m - 1, 12 = -v + 5*v + b*m. Factor v - 3 + s - 2*s**2 - s.
-2*(s - 1)*(s + 1)
Let w(f) be the second derivative of 1/21*f**7 - 1/3*f**4 + 1/3*f**3 + 0 + 1/15*f**6 + f**2 - 1/5*f**5 + 3*f. Suppose w(c) = 0. Calculate c.
-1, 1
Let a(o) = o**2 + 5*o - 7. Let c be a(-7). Suppose -4*n - 4*b - 4 = 0, 2*b = 2*n - c*n + 4. Suppose -1/4*z**n - 1/4 + 1/2*z = 0. What is z?
1
Let k(a) be the first derivative of a**4/2 - 10*a**3/3 + 7*a**2 - 6*a - 11. Factor k(o).
2*(o - 3)*(o - 1)**2
Let r(h) be the first derivative of h**4/8 - h**3/3 + h**2/4 - 2. Suppose r(u) = 0. What is u?
0, 1
Let l(s) = -s**4 - s**3 - s**2 + s - 1. Let d(i) = 61*i**4 - 35*i**3 - 31*i**2 - i - 3. Let w(c) = -d(c) + 3*l(c). Factor w(t).
-4*t*(t - 1)*(4*t + 1)**2
Factor 3/2*n**3 + 0*n + 1/2*n**4 + 0 + n**2.
n**2*(n + 1)*(n + 2)/2
Let m be (-3)/((-2)/(-4) + -2). Let 2*f - 2*f**4 + 2*f**m + 0*f**2 + 0*f**3 - 2*f**3 = 0. Calculate f.
-1, 0, 1
Let c be (-228)/(-192) - (-1)/(-4). Let a = c + -3/16. Factor 1/2 + 1/4*h**2 - a*h.
(h - 2)*(h - 1)/4
Let u be 4/33*((-72)/16 + 6). What is b in -2/11*b**4 + 4/11*b**2 - u - 2/11*b - 2/11*b**5 + 4/11*b**3 = 0?
-1, 1
Let v(m) be the third derivative of 29/60*m**6 - 2/3*m**3 + 4/21*m**7 + 0 - m**2 - 1/6*m**8 - 11/12*m**4 + 0*m - 4/15*m**5. Find o, given that v(o) = 0.
-1/2, -2/7, 1
Let c(s) be the second derivative of -s**5/60 + s**4/12 + s**2/2 + 2*s. Let a(d) be the first derivative of c(d). Factor a(y).
-y*(y - 2)
Let w be (-155)/(-40) + 3/24. Factor 0 - 1/2*r**w + 0*r + 0*r**3 + 1/2*r**2.
-r**2*(r - 1)*(r + 1)/2
Let p(u) = 26*u**2 - 27*u + 11. Let c(r) = 21 - 44*r + r**2 - 10*r + 21*r**2 + 29*r**2. Let a(m) = 5*c(m) - 9*p(m). Factor a(y).
3*(y - 1)*(7*y - 2)
Let j(r) be the first derivative of 2*r**3/27 - 4*r**2/3 + 8*r + 4. Let j(z) = 0. Calculate z.
6
Suppose 17 = 4*c + 5. Determine u, given that 12*u**3 + c*u**2 + 9*u**4 + 0*u**2 + 0*u**4 = 0.
-1, -1/3, 0
Let z be -7*248/(-224) + -7. Factor -9/4*r + 3/4 + 9/4*r**2 - z*r**3.
-3*(r - 1)**3/4
Suppose 2*g = 0, -3*h + 5*h - 4*g - 4 = 0. Find j such that 0 - 4/5*j**h - 4/5*j = 0.
-1, 0
Suppose -g - 3*v + 18 = 0, 0 = -5*g - 0*v + 2*v + 5. Factor 13*i - g - 11*i + 4*i**2 - 1 - 2*i**3.
-2*(i - 2)*(i - 1)*(i + 1)
Let i(v) be the second derivative of -v**6/50 - 9*v**5/100 + 2*v**3/5 - 14*v. Factor i(a).
-3*a*(a - 1)*(a + 2)**2/5
Factor 1/3*p + 0 + 1/6*p**2.
p*(p + 2)/6
Let j = -3 - -3. Let z(d) be the third derivative of j + 0*d**5 + 0*d**3 + 0*d**4 + 0*d + 1/420*d**6 - d**2 + 1/735*d**7. Determine h, given that z(h) = 0.
-1, 0
Find t such that 2*t + 583*t**2 + 0*t**3 - 2*t**3 - 579*t**2 - 4*t = 0.
0, 1
Let b(z) be the first derivative of -2 - 1/2*z**3 - 2*z - 2*z**2. What is c in b(c) = 0?
-2, -2/3
Let c(u) be the second derivative of u**4/