 + 1/15*x**6 - 9*x + 0*x**2. Factor m(h).
2*h*(h - 1)*(h + 1)**2
Let o(u) be the third derivative of -u**7/2520 - u**6/432 + u**5/180 - u**4/6 - 3*u**2. Let x(m) be the second derivative of o(m). Suppose x(i) = 0. What is i?
-2, 1/3
Suppose 2*t + 13*t = 30. Find g such that 4/5*g + 6/5*g**3 - 2*g**t + 2/5*g**4 - 2/5*g**5 + 0 = 0.
-2, 0, 1
Let q be (-8)/(-32) - 57/4. Let y = -14 - q. Factor 2/3*m + y + 2/3*m**3 - 4/3*m**2.
2*m*(m - 1)**2/3
Let l(n) be the second derivative of 1/21*n**3 + 3/2*n**2 - 3*n + 0*n**4 + 0 - 1/210*n**5. Let k(y) be the first derivative of l(y). Factor k(h).
-2*(h - 1)*(h + 1)/7
Let j(w) be the second derivative of -w**7/70 - 3*w**6/50 - 3*w**5/50 + w**4/10 + 3*w**3/10 + 3*w**2/10 - 9*w. Let j(v) = 0. Calculate v.
-1, 1
Let v(c) be the second derivative of -c**7/70 - c**6/20 + c**4/4 + c**3/2 - 3*c**2/2 + 5*c. Let i(u) be the first derivative of v(u). Factor i(m).
-3*(m - 1)*(m + 1)**3
Let p(j) = j**3 - 6*j**2 + 5*j + 5. Let f be p(5). Suppose 4*g = -4*k - 8, 51 = f*g - 5*k + 11. Factor -4*h + 3*h**2 + h**3 - h**2 + h**g.
2*h*(h - 1)*(h + 2)
What is w in -2/3 - 17/3*w - 46/3*w**2 + 15*w**5 + 16*w**4 - 28/3*w**3 = 0?
-1, -2/5, -1/3, 1
Let x(u) be the second derivative of -u**7/84 + u**6/60 + u**5/40 - u**4/24 + 6*u. Find c, given that x(c) = 0.
-1, 0, 1
Let j(d) = 8*d**4 + 9*d**3 - 20*d**2 + 14*d. Let c(s) = 3*s**4 + 3*s**3 - 7*s**2 + 5*s. Let l(n) = -11*c(n) + 4*j(n). Let l(a) = 0. Calculate a.
0, 1
Let z = -3 - 0. Let b = 5 + z. Factor 0*r**4 - 1/3*r + 0*r**b + 2/3*r**3 + 0 - 1/3*r**5.
-r*(r - 1)**2*(r + 1)**2/3
Let t(c) be the first derivative of c**3/9 - c**2/3 - c + 10. Determine l so that t(l) = 0.
-1, 3
Factor 1/4*p**3 - 1/2 - 3/4*p + 0*p**2.
(p - 2)*(p + 1)**2/4
Let j(l) = -13*l**4 - 13*l**3 + 13*l**2 + 13*l. Let s(g) = -7*g**4 - 7*g**3 + 7*g**2 + 7*g. Let c(h) = -4*j(h) + 7*s(h). What is q in c(q) = 0?
-1, 0, 1
Let g(n) be the second derivative of n**8/5880 + n**7/2940 - n**3 - 4*n. Let h(v) be the second derivative of g(v). Solve h(c) = 0.
-1, 0
Let k(s) be the first derivative of -s**6/40 - 9*s**5/80 - s**4/8 - 2*s + 8. Let r(x) be the first derivative of k(x). Find g such that r(g) = 0.
-2, -1, 0
Let z(c) = 55*c**3 - 75*c**2 + 15*c + 5. Let s(i) = -27*i**3 + 37*i**2 - 8*i - 2. Let r(k) = -5*s(k) - 2*z(k). Factor r(a).
5*a*(a - 1)*(5*a - 2)
Let p(v) be the first derivative of v**3 + 3*v**2/2 - 6*v + 6. Let p(g) = 0. What is g?
-2, 1
Suppose -2 = 5*w - 22. Let o(j) be the first derivative of 0*j**2 + 0*j - 2 + 1/12*j**3 - 1/16*j**w. Factor o(p).
-p**2*(p - 1)/4
Let t be (6 - 5)*(1 + 14/(-15)). Let g(a) be the first derivative of -1/6*a**4 - 1/3*a + 0*a**3 + 2 + 1/3*a**2 + t*a**5. Factor g(v).
(v - 1)**3*(v + 1)/3
Let d(i) be the first derivative of i**6/30 - i**5/20 - i**4/12 + i**3/6 - 2*i + 2. Let u(v) be the first derivative of d(v). Factor u(c).
c*(c - 1)**2*(c + 1)
Let p(l) = -3*l**5 - 27*l**4 - 27*l**3 - 9*l**2 + 2*l - 4. Let s(k) = k**5 - k**4 + k**2 + k - 1. Let g(n) = p(n) - 4*s(n). Solve g(u) = 0 for u.
-1, -2/7, 0
Let o = 66 + -63. What is a in 0 + 2/7*a**2 + 2/7*a - 2/7*a**o - 2/7*a**4 = 0?
-1, 0, 1
Let a be (2/(-6))/(-1)*1. Determine i, given that -a*i**2 + 1 + 2/3*i = 0.
-1, 3
Let w be ((-2)/4)/(1/(-12)). Let c be 1 - (-1 + w/3). Factor o**2 - 3*o**2 + 2 + 2*o - 2*o**3 + c*o**2.
-2*(o - 1)*(o + 1)**2
Let i(p) = -p**3 + 7*p**2 + 5. Let k(m) be the first derivative of -m**4/4 + 4*m**3/3 + 2*m - 6. Let s(u) = 2*i(u) - 5*k(u). Factor s(r).
3*r**2*(r - 2)
Let f(g) = -4*g**3 - 2*g - 1. Let w be f(-1). Factor 2 - 4*p**3 - p**4 - 4*p - 6*p**2 - w + 2.
-(p + 1)**4
Let q(s) be the third derivative of 0 + 2/45*s**5 + 0*s**3 - 1/180*s**6 - s**2 + 0*s - 1/9*s**4. Let q(w) = 0. Calculate w.
0, 2
Let y(m) = 110*m**2 - 705*m + 595. Let o(v) = -5*v**2 + 32*v - 27. Let b(x) = 45*o(x) + 2*y(x). Find u, given that b(u) = 0.
1, 5
Let b(a) be the first derivative of 0*a - 1/6*a**3 + 1/4*a**5 - 3/16*a**4 + 3 + 0*a**2. Solve b(p) = 0.
-2/5, 0, 1
Let k(v) be the first derivative of -2*v**3/9 - 4*v**2 - 24*v + 35. Factor k(u).
-2*(u + 6)**2/3
Let y = 64 + -64. Factor 0 + 0*p**4 + 1/4*p**5 - 1/4*p**3 + 0*p**2 + y*p.
p**3*(p - 1)*(p + 1)/4
Suppose -f = -h - 3, -4*f + 3 + 21 = 2*h. Let r be (h/4)/((-9)/(-6)). Find u such that -r*u - 1/3*u**2 + 0 = 0.
-1, 0
Let i(p) be the first derivative of -p**6/2 + 3*p**5/5 + 3*p**4/2 - 2*p**3 - 3*p**2/2 + 3*p - 4. Suppose i(h) = 0. What is h?
-1, 1
Let y(c) be the third derivative of -c**5/180 - c**4/36 - c**3/18 + 6*c**2. Determine j, given that y(j) = 0.
-1
Factor -4/5*z**3 + 8/5*z - 2/5*z**4 + 6/5*z**2 - 8/5.
-2*(z - 1)**2*(z + 2)**2/5
Let b(d) be the second derivative of -d**6/15 - 3*d**5/10 - d**4/2 - d**3/3 - 27*d. Determine q so that b(q) = 0.
-1, 0
Let l(y) = 6*y - 1. Let u(d) = -4*d + 1. Let g(v) = 5*l(v) + 8*u(v). Let k be g(-7). Factor k*t**4 - 15*t**4 - 4*t**2 + 1 + 1.
2*(t - 1)**2*(t + 1)**2
Suppose k = 1 + 4. Let a(n) be the second derivative of -7/30*n**4 + 0 + 2/15*n**3 + 1/10*n**k - n + 0*n**2. What is l in a(l) = 0?
0, 2/5, 1
Suppose -9*q + 7*q = 3*q. Let 2*o**3 + 2/3*o**5 + q + 2*o**4 + 2/3*o**2 + 0*o = 0. Calculate o.
-1, 0
Let k(l) be the second derivative of -l**9/3024 + l**7/420 - l**5/120 - l**3 + 3*l. Let a(d) be the second derivative of k(d). Factor a(s).
-s*(s - 1)**2*(s + 1)**2
Let h(o) be the first derivative of -5*o**4/4 - 25*o**3/3 + 65*o**2/2 - 35*o - 13. Let h(p) = 0. What is p?
-7, 1
Let i be (6 - 2) + (3 - 1). Suppose -2*n + i = -0. Find j, given that 10*j**5 + 7*j**2 - 4*j**3 - 4*j**4 - 3*j**2 - 6*j**n = 0.
-1, 0, 2/5, 1
Suppose -2 = 4*p - 2*p. Let n = 4 + p. Factor c - 4 + n + c - c**2.
-(c - 1)**2
Determine u, given that 6/7*u**2 + 2/7*u**4 + 0 - 2/7*u - 6/7*u**3 = 0.
0, 1
Let n(c) be the second derivative of -c**4/24 + 5*c**3/12 - 3*c**2/2 + 17*c. Factor n(o).
-(o - 3)*(o - 2)/2
Suppose -6*n**3 + n**2 + 4*n**3 + 3*n - 3*n + n**4 = 0. What is n?
0, 1
Let g = 118 - 116. Factor 2/3 + 2/3*z**g - 4/3*z.
2*(z - 1)**2/3
Let g(k) be the second derivative of -k**7/56 - 3*k**6/20 - 9*k**5/40 + k**4 + 15*k**3/8 - 27*k**2/4 - 8*k - 4. Determine c, given that g(c) = 0.
-3, -2, 1
Let c(w) be the first derivative of -w**4/16 - w**3/3 - w**2/2 + 34. Factor c(p).
-p*(p + 2)**2/4
Let s = -34 - -30. Let f be 8/(-12)*s/8. Factor -2/3*m**2 - f*m**3 - 1/3*m + 0.
-m*(m + 1)**2/3
Suppose -4*m = -2*m - 6. Suppose -m*z + 5 = -1. Suppose 0*w**z - 20/9*w**4 + 4/9 - 20/9*w**3 + 10/9*w - 2/3*w**5 = 0. What is w?
-1, 2/3
Solve 27 - 63 - 4*l - 13*l - 7*l - 3*l**2 = 0 for l.
-6, -2
Suppose 0 = 9*w - 56 + 11. Suppose 0 - 1/2*z**w + 0*z + 1/2*z**3 - 1/2*z**4 + 1/2*z**2 = 0. Calculate z.
-1, 0, 1
Let c(z) be the second derivative of -z**7/140 + z**6/40 - z**5/40 + z**3 - 4*z. Let f(u) be the second derivative of c(u). Factor f(v).
-3*v*(v - 1)*(2*v - 1)
Let u = -2/55 - -116/165. Let -2/3*o**2 + u + 0*o = 0. Calculate o.
-1, 1
Let c(i) be the second derivative of -i**6/315 - 2*i**5/105 - 5*i**4/126 - 2*i**3/63 - 31*i. Factor c(v).
-2*v*(v + 1)**2*(v + 2)/21
Factor -61*s + s**4 - s**2 + 61*s.
s**2*(s - 1)*(s + 1)
Suppose -12 = -2*d - d. Let p be 32/14 + d/(-2). Factor 4/7*a**4 + p*a + 0*a**3 - 2/7*a**5 + 0 - 4/7*a**2.
-2*a*(a - 1)**3*(a + 1)/7
Let w be (3 - (-17)/(-5)) + 141/90. Find k such that 8/3*k**4 + 25/6*k**3 + 19/6*k**2 + w*k + 1/6 + 2/3*k**5 = 0.
-1, -1/2
Let b(g) be the first derivative of -g**6/540 - g**5/60 - g**4/18 - 4*g**3/3 - 3. Let m(z) be the third derivative of b(z). Factor m(d).
-2*(d + 1)*(d + 2)/3
Suppose 3*y = -3*s + 4*s, 0 = 2*s + 2*y - 32. Find i, given that s*i**2 - 81/2*i**5 - 3*i + 69/4*i**3 + 0 - 153/4*i**4 = 0.
-1, -2/3, 0, 2/9, 1/2
Let i(h) be the third derivative of h**8/30240 + h**7/5670 - h**4/24 - 4*h**2. Let d(w) be the second derivative of i(w). Factor d(k).
2*k**2*(k + 2)/9
Let b(i) = -i**2 - 6*i - 5. Let u be b(-4). Determine q, given that 3*q**4 + 2*q**3 - 5*q**4 + 2*q**3 - 8*q**u - 2*q**2 = 0.
-1, 0
Let v(h) = -h**3 - 7*h**2 - 6*h + 6. Let y be v(-6). Let -2*x - y*x - 4*x + 8 + 4*x**2 = 0. What is x?
1, 2
Let n = 67 + -26. Let l = n + -255/7. Let 38/7*h**3 - 8/7 + l*h + 2/7*h**5 - 2*h**4 - 50/7*h**2 = 0. Calculate h.
1, 2
Let p(l) = l - 4*l - 3*l - l - 6 - 6*l**2. Let k(d) = 7*d**2 + 8*d + 7. Let n(c) = 5*k(c) + 6*p(c). Factor n(u).
-(u + 1)*