9240 + a**7/2310 + 4*a**3/3 + 3. Let h(q) be the third derivative of b(q). Factor h(v).
2*v**3*(v + 2)/11
Let o be (96/20 + 0)/2. Solve 24/5*i + o*i**2 + 16/5 + 2/5*i**3 = 0.
-2
Let b(t) be the first derivative of -4/3*t**3 + 7 + 8*t - 2*t**2. Let b(h) = 0. What is h?
-2, 1
Let k = -1033 + 10317/10. Let p = -4/5 - k. Factor 1/2*n**5 + 0 - p*n + 0*n**3 + n**2 - n**4.
n*(n - 1)**3*(n + 1)/2
Suppose 5*s + 13*z - 29 = 10*z, -s = 3*z - 13. What is g in 0 + 21/5*g**5 + 0*g - 21/5*g**3 + 6/5*g**2 - 6/5*g**s = 0?
-1, 0, 2/7, 1
Solve -2/5*b**4 - 4/5*b + 0*b**3 + 6/5*b**2 + 0 = 0.
-2, 0, 1
Let s(l) = -l + 3. Let y be s(3). Suppose y = 5*m + 4*b - 45, -2*b + 21 = 5*m - 14. Factor -2*n**4 + 2*n**m - n**5 - n**2 + 3*n**3 - n**4.
n**2*(n - 1)**3
Let g(o) = 2*o**2 - o - 5. Let u(l) = -2*l**2 + 4. Let f(v) = -4*g(v) - 3*u(v). Let r(z) = 5*z**2 - 7*z - 16. Let k(d) = -9*f(d) - 4*r(d). Solve k(w) = 0.
-2
Suppose -3*t - 4 = -5*t. Determine r so that 112*r**2 + 12 + 126*r**t - 108*r + 5*r**2 = 0.
2/9
Let s(u) = -u**4 + u**2 + u - 1. Let m(q) = 5*q**4 - 5*q**3 - 4*q**2 + 4*q. Let g(v) = m(v) + s(v). Solve g(k) = 0 for k.
-1, 1/4, 1
Let d(r) = -r - 1. Let u be d(-1). Suppose u = -3*v + 2*v. Solve 0*t**3 + t**3 + v*t**2 + t + 2*t**2 = 0.
-1, 0
Factor 0 + 5/3*g - 10/3*g**3 + 5/3*g**5 + 0*g**2 + 0*g**4.
5*g*(g - 1)**2*(g + 1)**2/3
Let h(v) be the second derivative of 0 - 1/25*v**6 - 2/15*v**3 + 1/10*v**4 + 1/105*v**7 + 0*v**2 - 4*v + 1/50*v**5. Solve h(w) = 0 for w.
-1, 0, 1, 2
Let 4/3*w**2 - 1/3*w**3 + 0 - 4/3*w = 0. Calculate w.
0, 2
Let j(m) be the third derivative of m**6/30 + 2*m**5/5 + 4*m**4/3 - 2*m**2 - 8*m. Suppose j(c) = 0. Calculate c.
-4, -2, 0
Let i(o) be the third derivative of o**8/672 + o**7/252 - 7*o**6/720 - o**5/40 + o**4/36 + o**3/9 + 7*o**2. Solve i(x) = 0 for x.
-2, -1, -2/3, 1
Let c(s) be the first derivative of -1/6*s**3 - 1 + 0*s + 1/4*s**2. Factor c(p).
-p*(p - 1)/2
Let o(k) be the second derivative of 1/9*k**3 + 0 + 4*k + 1/3*k**2 + 1/72*k**4. Factor o(y).
(y + 2)**2/6
Let x(l) be the third derivative of -l**6/360 - l**5/60 + 9*l**2. Factor x(b).
-b**2*(b + 3)/3
Suppose 2*j = -2*j, 3*p - 5*j = -420. Let t be p/(-728)*8/10. Let t*x**4 + 6/13*x**3 + 6/13*x**2 + 0 + 2/13*x = 0. Calculate x.
-1, 0
Determine j so that -4*j**2 - 65*j + 12 - 16*j**2 + 9*j = 0.
-3, 1/5
Let -308*s + 35 + 35*s + 37 - 135*s + 578*s**2 = 0. What is s?
6/17
Let c(s) be the second derivative of -s**3 + 3/20*s**5 + 0*s**2 + 0 + 1/4*s**4 - 7*s. Factor c(a).
3*a*(a - 1)*(a + 2)
Let a = -199/36 + 52/9. Let h(l) = l - 7. Let n be h(7). Factor 0*q + a*q**5 - 1/4*q**3 - 1/4*q**2 + n + 1/4*q**4.
q**2*(q - 1)*(q + 1)**2/4
Let q(p) be the first derivative of 3*p**6 + 3 + 0*p**2 + 0*p - 7/2*p**4 - 4/3*p**3 + 0*p**5. Solve q(g) = 0 for g.
-2/3, -1/3, 0, 1
Let d(l) be the first derivative of 1/10*l**4 + 0*l**2 - 5 + 2/15*l**3 + 0*l. Factor d(i).
2*i**2*(i + 1)/5
Let j = 159 - 1907/12. Let u(y) be the second derivative of j*y**4 + 0 - 1/60*y**5 - 1/6*y**3 - y + 1/6*y**2. Find i, given that u(i) = 0.
1
Let w(q) be the third derivative of -q**6/300 - q**5/75 + q**4/15 + 8*q**3/15 - 27*q**2. Factor w(v).
-2*(v - 2)*(v + 2)**2/5
Factor 9/5*a**2 + 0 + 6/5*a + 3/5*a**3.
3*a*(a + 1)*(a + 2)/5
Let p(j) be the first derivative of j**4/18 - 2*j**3/9 + j**2/3 - 4*j + 3. Let k(d) be the first derivative of p(d). Factor k(q).
2*(q - 1)**2/3
Let u = -41 - -43. What is k in 0*k**u + 4/7*k**4 + 0*k - 6/7*k**5 + 2/7*k**3 + 0 = 0?
-1/3, 0, 1
Let h(m) be the second derivative of m**6/75 + 61*m**5/150 + 133*m**4/30 + 49*m**3/3 - 686*m**2/15 - 2*m + 42. Factor h(q).
2*(q + 7)**3*(3*q - 2)/15
Let q(x) = x**3 - 2*x**2 - 2*x + 1. Let i be q(3). Suppose i*p + 4 = 2*z, -2 + 10 = 4*z - p. Factor 6*g + g - 2 + 0*g**2 - 5*g**z.
-(g - 1)*(5*g - 2)
Let j(k) be the first derivative of k**7/840 + k**6/120 + k**5/40 + k**4/24 - 4*k**3/3 + 3. Let h(y) be the third derivative of j(y). Factor h(o).
(o + 1)**3
Let i(p) = -p**2 + 4*p. Let w be i(3). Factor 3*x - 3*x - 3*x - 6 - w*x**2 - 6*x.
-3*(x + 1)*(x + 2)
Suppose 4*d + x - 9 + 8 = 0, -4*d = 5*x - 5. What is a in 1/4*a**2 - 1/4*a + d + 3/2*a**3 = 0?
-1/2, 0, 1/3
Find a, given that 4/3*a**5 + 2/3*a + 8/3*a**4 - 5/3*a**2 + 0 - a**3 = 0.
-2, -1, 0, 1/2
Let f(c) = c + 1. Let n(x) = -3*x**2 + 6*x + 18. Let k(q) = 18*f(q) - n(q). Solve k(g) = 0 for g.
-4, 0
Suppose -5*c + 80 = -2*g, 3*c = 5*g - 32 + 80. Let x = -14 + c. What is i in 92/5*i**4 - 46/5*i**3 - 2/5*i**x + 0 + 4/5*i - 48/5*i**5 = 0?
-1/4, 0, 1/2, 2/3, 1
Let k = 6 + -17. Let t = 34/3 + k. What is q in -1/3*q**3 + 0 + 1/3*q**2 - 1/3*q**4 + t*q = 0?
-1, 0, 1
Let c(a) = -4*a + 30. Let k(w) = w - 10. Let d(u) = -2*c(u) - 7*k(u). Let l be d(-5). Suppose -4*o**4 + 3*o**2 - o**3 - o**2 + o**l + 2*o**4 = 0. What is o?
-1, 0, 1, 2
Let g(r) be the first derivative of r**9/7560 - 2*r**3/3 - 4. Let i(y) be the third derivative of g(y). Let i(q) = 0. What is q?
0
Let x(t) be the third derivative of t**9/272160 - t**8/90720 - t**7/22680 + t**6/3240 + t**5/15 + 3*t**2. Let r(a) be the third derivative of x(a). Factor r(c).
2*(c - 1)**2*(c + 1)/9
Suppose -10*u + 4 = -8*u. Let b be (3 + 0)/((-18)/(-20)). Factor b*c**u - 4/3 - 2*c.
2*(c - 1)*(5*c + 2)/3
Let d = 121 - 118. Let k(r) be the third derivative of -2/27*r**3 + 0 + 1/36*r**4 - 1/270*r**5 - d*r**2 + 0*r. Factor k(g).
-2*(g - 2)*(g - 1)/9
Factor -1/7*n - 1/7*n**5 + 4/7*n**2 + 0 - 6/7*n**3 + 4/7*n**4.
-n*(n - 1)**4/7
Let j(r) be the third derivative of r**8/168 + r**7/105 - r**6/10 + r**5/15 + 5*r**4/12 - r**3 - 23*r**2. Let j(l) = 0. Calculate l.
-3, -1, 1
Let t(w) be the third derivative of w**7/420 + w**6/120 + w**5/120 + 7*w**2. Factor t(y).
y**2*(y + 1)**2/2
Let p(a) be the third derivative of -a**10/28350 + a**9/6480 + a**8/7560 + a**5/12 - 5*a**2. Let i(l) be the third derivative of p(l). Let i(f) = 0. What is f?
-1/4, 0, 2
Let h(c) be the first derivative of -c**5/20 + 3*c**4/8 + 2*c**2 + 1. Let x(v) be the second derivative of h(v). Factor x(d).
-3*d*(d - 3)
Let j(r) = -r**2 - r - 6. Let a(o) = -o - 1. Let b(g) = 30*a(g) - 5*j(g). Let b(q) = 0. Calculate q.
0, 5
Let u(t) be the third derivative of -t**7/2520 + t**6/360 + t**4/8 + 5*t**2. Let h(a) be the second derivative of u(a). Factor h(z).
-z*(z - 2)
Let w(s) be the first derivative of -2*s**3/15 + 3*s**2/5 - 4*s/5 - 1. Factor w(m).
-2*(m - 2)*(m - 1)/5
Let r(m) be the second derivative of m**4/8 - m**3/8 - 3*m**2/8 - 5*m. Determine b so that r(b) = 0.
-1/2, 1
Let w(k) be the third derivative of 0*k - 1/9*k**3 + 2*k**2 + 1/72*k**4 + 0 + 1/180*k**5. Determine h, given that w(h) = 0.
-2, 1
Let v(f) be the first derivative of 1 - 1/3*f**3 - 1/8*f**4 + 0*f - 1/4*f**2. Solve v(x) = 0 for x.
-1, 0
Let b = 9 + 6. Let j be (6/b)/((-1)/(-10)). Factor 0 - 1/4*p**j - 3/4*p**2 - 1/4*p - 3/4*p**3.
-p*(p + 1)**3/4
Let w = 1 + 5. Let t(k) be the third derivative of 2/735*k**7 + 0*k - 1/21*k**3 + 1/70*k**5 - k**2 + 1/84*k**w + 0 - 1/84*k**4. Factor t(n).
2*(n + 1)**3*(2*n - 1)/7
Factor -80 - 18*k - 24*k**4 + 20*k**2 + 4*k**5 + 8*k**3 + 84 + 6*k**5.
2*(k - 1)**3*(k + 1)*(5*k - 2)
Let b(l) be the second derivative of -l**6/30 + l**5/20 + l**4/12 - l**3/6 - l. Find k such that b(k) = 0.
-1, 0, 1
Let z(s) = -32*s**4 + 83*s**3 - 58*s**2 + 13*s + 3. Let q(g) = 63*g**4 - 167*g**3 + 117*g**2 - 27*g - 7. Let v(t) = 3*q(t) + 7*z(t). What is p in v(p) = 0?
0, 2/7, 1
Factor 5*t**5 + 12*t**3 + 6*t**3 - 28*t**3 + 5*t.
5*t*(t - 1)**2*(t + 1)**2
Let k(b) be the first derivative of -b**6/45 - b**5/10 - b**4/6 - b**3/9 + b**2 - 1. Let z(f) be the second derivative of k(f). Factor z(t).
-2*(t + 1)**2*(4*t + 1)/3
Suppose -5*s - 5*q + 5 = 0, -3*s + 4 = -0*s + 2*q. Find x, given that 4*x**2 - 2*x**2 + 0*x**s - 2*x = 0.
0, 1
Let p(r) be the third derivative of -r**8/672 - r**7/420 + r**6/240 + r**5/120 - 6*r**2. Suppose p(s) = 0. Calculate s.
-1, 0, 1
Suppose 0*h - 3*h = -3. Let q(o) = -o**3 - o**2 - o - 1. Let y(t) = -11*t**2 - 47*t - 63. Let z(f) = h*y(f) + q(f). Factor z(m).
-(m + 4)**3
Factor 16/3*w**4 - 2/3 - 4*w**2 - 10/3*w + 8/3*w**3.
2*(w - 1)*(2*w + 1)**3/3
Suppose 8/21*y**2 - 4/21*y + 4/21*y**3 - 2/21 - 2/7*y**4 = 0. Calculate y.
-1, -1/3, 1
Suppose -2*k + d = -11, 4*k + 0*k - 4*d - 32 = 0. Suppose 0 = 5*q - 7 - k. Factor -p - 4*p**q - 2*p