 q(l) = -3*l**2 - l - 2. Let d = 5 + -8. Let h(c) = -4*c**2 - 2*c - 3. Let y(o) = d*q(o) + j*h(o). Suppose y(p) = 0. Calculate p.
0, 1
Let i(n) be the first derivative of -1/18*n**4 + 0*n**2 + 1 - 2*n + 0*n**3. Let t(b) be the first derivative of i(b). Suppose t(u) = 0. What is u?
0
Suppose -m = 3*q - 13, -4*m + 7 = -5*q + 2*q. Suppose -12 = 3*c + 3*d, q*d = 2*c - 15 + 3. Suppose 0*v**2 + 0 + c*v + 1/5*v**3 + 1/5*v**4 = 0. Calculate v.
-1, 0
Let g(m) be the second derivative of m**4/12 + m**3/3 + 3*m**2/2 + 2*m. Let v(k) = k + 1. Let q(p) = -g(p) + 3*v(p). Factor q(l).
-l*(l - 1)
Let l = -22 + 22. Let y(d) be the third derivative of -1/30*d**5 + 0*d**4 + l - 1/168*d**8 + 0*d + 1/105*d**7 + 0*d**3 - d**2 + 1/60*d**6. Factor y(h).
-2*h**2*(h - 1)**2*(h + 1)
Suppose -3*p = -4*y + p + 4, -2*y + 3 = -p. Find r, given that -2/9 + 0*r + 2/9*r**y = 0.
-1, 1
Let l(f) be the first derivative of 5/28*f**4 - 1/21*f**3 + 3/35*f**5 + 2 - 5/14*f**2 - 2/7*f. Let l(i) = 0. What is i?
-1, -2/3, 1
Let k = 8 + -8. Let z be 5/2*(-4)/(-15). Factor k*u**2 + 8/3*u**3 - z*u + 0.
2*u*(2*u - 1)*(2*u + 1)/3
Factor 4/3*a**4 - 4/3 + 0*a**2 + 8/3*a**3 - 8/3*a.
4*(a - 1)*(a + 1)**3/3
Factor -2/7*h**3 - 6/7*h**2 + 0 - 4/7*h.
-2*h*(h + 1)*(h + 2)/7
Let -2/5*a**4 + 0 + 4/5*a**3 - 4/5*a + 2/5*a**2 = 0. What is a?
-1, 0, 1, 2
Let k = -23 + 32. Suppose -a = -3*a + 70. Solve a*s**5 + 16*s**2 + 4*s - 27*s**4 + 10*s**4 - k*s**3 - 29*s**4 = 0.
-2/5, -2/7, 0, 1
Let i(o) be the second derivative of o**6/225 - 4*o**5/75 + 4*o**4/15 - 32*o**3/45 + 16*o**2/15 + 10*o. Factor i(s).
2*(s - 2)**4/15
Let c = -6 + 8. Determine p, given that -3*p + 3*p + 19*p**3 - 4*p + 4*p**c - 54*p**4 + 20*p**4 + 15*p**5 = 0.
-2/5, 0, 2/3, 1
Let k be 2 - -1 - 24/8. Factor -2*i + 0 - i**2 + k + 0.
-i*(i + 2)
Let c be 11/1 - (0 - 10/(-5)). Suppose c*r - 9 + 1/3*r**3 - 3*r**2 = 0. Calculate r.
3
Let f(b) be the first derivative of -b**7/3360 + b**6/480 - b**5/160 + b**4/96 - 2*b**3/3 - 1. Let w(o) be the third derivative of f(o). Factor w(k).
-(k - 1)**3/4
Let o be 4*(-1)/(-16) + 148/176. Find q such that 24/11*q**2 + 8/11*q + 2/11*q**5 + o*q**4 + 0 + 26/11*q**3 = 0.
-2, -1, 0
Let c(o) be the third derivative of 0*o**3 + 1/30*o**6 + 8*o**2 + 0*o + 2/15*o**5 + 1/6*o**4 + 0. Suppose c(y) = 0. What is y?
-1, 0
Factor 9/5 + 1/5*r**2 + 2*r.
(r + 1)*(r + 9)/5
Let k = 3 - 5/2. Let o = 7 - 13/2. Let 3/2*x + o + k*x**3 + 3/2*x**2 = 0. What is x?
-1
Suppose -130 = 3*o + 302. Let w = o + 728/5. Factor -1/5*v**4 - 4/5*v + w - 6/5*v**2 + v**3.
-(v - 2)**3*(v + 1)/5
Let i be 1 - (2 + 0 + -1). Let t(d) = -d + 10. Let v be t(5). What is b in -2/7*b**v + 4/7*b**3 - 2/7*b + i*b**4 + 0 + 0*b**2 = 0?
-1, 0, 1
Let z(w) be the second derivative of w**6/24 - 7*w**5/60 + w**4/12 + 2*w**2 + 4*w. Let j(i) be the first derivative of z(i). Factor j(b).
b*(b - 1)*(5*b - 2)
Suppose 150 = 5*q - 15. Find k, given that -9*k + 3*k**2 - 4 + q*k**3 - 2 - 24*k**3 + 3*k**4 = 0.
-2, -1, 1
Let p(n) be the second derivative of -1/2*n**3 + 3/20*n**5 + 3/2*n**2 + 0 - 4*n - 1/4*n**4. Determine a, given that p(a) = 0.
-1, 1
Suppose 9*m + 0*m = 18. Let n(k) be the second derivative of 1/126*k**7 + 1/18*k**3 + 0 - 1/30*k**5 + 1/18*k**4 - 1/6*k**m + 3*k - 1/90*k**6. Factor n(i).
(i - 1)**3*(i + 1)**2/3
Let k(i) be the second derivative of 0 - 1/42*i**4 + i + 2/21*i**3 - 1/7*i**2. Factor k(v).
-2*(v - 1)**2/7
What is j in -3*j**5 + 0 + 4 - 1587*j + 11*j**3 + j**4 + 1583*j - 9*j**2 = 0?
-2, -2/3, 1
Let j(i) be the third derivative of 1/6*i**4 + 0*i + 0*i**5 + 7*i**2 + 0*i**3 - 1/30*i**6 + 0. Solve j(x) = 0 for x.
-1, 0, 1
Let 3/4 - 9/4*l + 3/2*l**2 = 0. What is l?
1/2, 1
Let m = -94 + 189/2. Factor 0 + 0*f + 1/2*f**3 + 0*f**2 + m*f**4.
f**3*(f + 1)/2
Let p(s) = -4*s**2 - 51*s - 144. Let k(q) = -4*q**2 - 50*q - 144. Let c(h) = -3*k(h) + 2*p(h). Determine t so that c(t) = 0.
-6
Let q(t) be the third derivative of t**5/120 + t**4/12 + t**3/3 + 7*t**2. Factor q(b).
(b + 2)**2/2
Let a(l) be the first derivative of -3/2*l**2 - l**3 + 2 + 0*l. Let a(q) = 0. Calculate q.
-1, 0
Let u = 49 - 45. Let t(a) be the third derivative of 0 - 1/3*a**3 + 3*a**2 + 1/6*a**u - 1/30*a**5 + 0*a. Suppose t(y) = 0. What is y?
1
Suppose -r - 18 + 83 = 3*h, -2*r + 109 = 5*h. Let y be (-8)/(-10) + h/(-35). Factor 0*f**2 - y*f**3 + 3/5*f + 2/5.
-(f - 2)*(f + 1)**2/5
Let b(g) be the third derivative of -4*g**2 + 27/2*g**3 + 0 + 9/20*g**5 + 0*g - 27/8*g**4 - 1/40*g**6. Factor b(r).
-3*(r - 3)**3
Let m be ((-324)/30 - -12)*5/39. Factor 2/13*b**3 + 6/13*b + m + 6/13*b**2.
2*(b + 1)**3/13
Suppose 4*l + 4*i = -4, i + 4 = -l - i. Suppose -2*u**3 + 3*u**3 - 2*u**l + 4*u**2 = 0. Calculate u.
-2, 0
Let t(n) be the third derivative of n**8/2016 + n**7/1260 - n**6/360 - n**5/180 + n**4/144 + n**3/36 + 8*n**2. Suppose t(y) = 0. Calculate y.
-1, 1
Let u(k) be the third derivative of 1/66*k**5 + 0*k + 0*k**3 + 2*k**2 + 0 + 1/132*k**4. Solve u(h) = 0.
-1/5, 0
Let k(q) = 2*q**3 + q**2 + 11*q - 3. Let a(n) = n**3 + 6*n - 2. Let v(t) = -t**2 - 4*t + 5. Let p be v(-4). Let d(z) = p*a(z) - 3*k(z). Factor d(u).
-(u + 1)**3
Let h(z) be the first derivative of -z**6/20 - 3*z**5/40 + z**4/8 + z**3/4 - 2*z - 1. Let i(m) be the first derivative of h(m). Determine v so that i(v) = 0.
-1, 0, 1
Let -4 + 3*g**3 + 4*g**5 + 125*g**2 - 4*g**4 - 11*g**3 - 117*g**2 + 4*g = 0. Calculate g.
-1, 1
Let a(q) be the first derivative of -q**4/4 - q**3/6 - 17. Factor a(h).
-h**2*(2*h + 1)/2
Let w(i) be the first derivative of -i**6/30 + i**5/5 - i**4/3 - 2*i**2 - 1. Let z(q) be the second derivative of w(q). Factor z(f).
-4*f*(f - 2)*(f - 1)
Determine b, given that -2/11*b**5 + 4/11*b**4 + 2/11*b - 4/11*b**2 + 0*b**3 + 0 = 0.
-1, 0, 1
Suppose 4*c = 17 - 1. Factor -2*y**4 + 6*y**3 + 2*y**4 + y**c + 2*y**4.
3*y**3*(y + 2)
Let a be (-1)/10*4*80/(-64). Suppose 0 + 1/2*n**2 - a*n = 0. Calculate n.
0, 1
Let f(c) be the first derivative of -c**8/3360 - c**7/840 + c**6/720 + c**5/120 + 5*c**3/3 + 4. Let p(b) be the third derivative of f(b). Factor p(i).
-i*(i - 1)*(i + 1)*(i + 2)/2
Let w(b) = 3*b**2 + 17*b + 3. Let a be w(-7). Let l = 63/2 - a. What is y in 0*y**2 + l*y**4 + 0 - 1/4*y**3 + 0*y - 1/4*y**5 = 0?
0, 1
Let g(j) = j**3. Suppose 0 = -0*h + h + 1. Let w(m) be the first derivative of -3*m**4/4 - m**3/3 - m**2/2 + m - 1. Let x(i) = h*w(i) - 4*g(i). Factor x(b).
-(b - 1)**2*(b + 1)
Let q(x) be the third derivative of x**5/15 + 2*x**4/3 + 8*x**3/3 - 3*x**2. Find l, given that q(l) = 0.
-2
Let m = -49 - -7. Let d be 3 - (m/15)/(-1). Find u such that 1/5*u**2 + 0 + 0*u - d*u**3 = 0.
0, 1
Let k be 4/14 + (-48)/(-28). Suppose -11 = -3*c + 3*z + 13, 0 = -c - k*z - 4. Factor 7*a**4 + 9*a**2 - 3*a**4 + 13*a**3 - 2*a**c + 3*a**4 - 2 - a.
(a + 1)**3*(5*a - 2)
Let j(b) be the third derivative of -b**7/525 + b**6/75 - b**5/50 - 2*b**2 + 13*b. Determine p so that j(p) = 0.
0, 1, 3
Let h be (1 - 3) + (-10)/10. Let c be (51/15 + h)*5. Factor -2/5*m**4 + 0*m**3 - 2/5*m**5 + 0 + 0*m**c + 0*m.
-2*m**4*(m + 1)/5
Suppose -2*g = -0*g - 6. Let h be (-2 + g)*(-4)/(-1). Suppose -2 + y**4 + 4*y - y**3 + y**h - 3*y**3 = 0. Calculate y.
-1, 1
Let d(i) be the first derivative of 3*i**5/5 + 9*i**4/4 - 6*i**2 - 4. Factor d(s).
3*s*(s - 1)*(s + 2)**2
Let a(b) be the first derivative of -5 + 0*b - 2*b**2 + 14/3*b**3 - 7/2*b**4 + 4/5*b**5. Factor a(m).
2*m*(m - 2)*(m - 1)*(2*m - 1)
Let q(y) be the third derivative of -y**8/2184 + 2*y**7/455 - y**6/60 + 2*y**5/65 - y**4/39 - 4*y**2. Solve q(s) = 0 for s.
0, 1, 2
Let v(m) = -4*m**3 - 12*m**2 + 5*m + 13. Let w(i) = -2*i**3 - 6*i**2 + 2*i + 6. Let y = -34 - -47. Let n(p) = y*w(p) - 6*v(p). Find r, given that n(r) = 0.
-2, -1, 0
Suppose -18 = -d - 5*d. Factor 2*g - 3*g + 5*g - 1 + 2*g**d - 5*g**2.
(g - 1)**2*(2*g - 1)
Suppose 5*b - 17 + 7 = 0. Factor -5*r**b + 4 - 5*r**2 + 6*r**2 + 4*r - 4*r**3.
-4*(r - 1)*(r + 1)**2
Suppose 9/4*q - 7/4*q**2 - 1/2 = 0. Calculate q.
2/7, 1
Let y(q) be the second derivative of -q**4/15 - 2*q**3/5 + 24*q. Find h such that y(h) = 0.
-3, 0
Let t(u) be the third derivative of -u**6/480 + u**5/40 - 3*u**4/32 + 8*u**2. Let t(i) = 0. Calculate i.
0, 3
Let n(p) be the first derivative of 0*p**3 + 0*p**2 + 0*p + 1/14*p**4 + 1 - 2/35*p**5. Find j, given that n(j) = 0.
0, 1
Let p(c) = 2*c + 10. Let 