5*i**4/2 - 10*i**3/3 - 45*i**2/2 + 25*i + 21. What is a in q(a) = 0?
-5, -1, 1
Let m(p) be the second derivative of 0*p**3 + 0*p**2 + 1/36*p**4 + 4*p + 0 + 1/60*p**5. Factor m(q).
q**2*(q + 1)/3
Let x be ((-8)/(-1))/(4/6). What is s in s**2 - s - 11*s + 2*s**2 + x = 0?
2
Factor -4 - 3*h + 0 - 2*h**2 + 7*h + h**2.
-(h - 2)**2
Factor -2/3*j - 1/3*j**3 + 0 + j**2.
-j*(j - 2)*(j - 1)/3
Factor 0*a + 1/2*a**2 + 0 - 3/4*a**3.
-a**2*(3*a - 2)/4
Let v(p) = -p**2 - p + 1. Let g(z) be the third derivative of z**5/15 + z**4/12 - z**3 + 5*z**2. Let d(o) = -g(o) - 6*v(o). Factor d(l).
2*l*(l + 2)
Let o(b) be the first derivative of 5*b**3/3 - 5*b**2 + 5*b + 9. Let o(m) = 0. What is m?
1
Let d(l) = l**3 - l**2. Let t(n) = 10*n**3 - 34*n**2 - 4*n + 28. Let p(g) = 6*d(g) - t(g). Find i such that p(i) = 0.
-1, 1, 7
Let d = 47 + -44. Suppose -2*z + 15 = r + 3*z, -d*r + 5*z = 15. Factor 2/9*q**3 + 0*q**2 + r + 0*q.
2*q**3/9
Let h(i) be the second derivative of 0 + 0*i**3 + 1/4*i**4 + 0*i**5 + 0*i**2 + 4*i - 1/10*i**6. Suppose h(d) = 0. Calculate d.
-1, 0, 1
Solve 0*r**3 - 3*r**3 - 12*r + 3*r**2 + 5*r**2 + 4*r**2 = 0 for r.
0, 2
Let f(z) = z**5 + 7*z**4 + 3*z**3 - 11*z**2 - 6*z + 2. Let i(h) = 3*h**5 + 27*h**4 + 12*h**3 - 45*h**2 - 24*h + 9. Let r(g) = 9*f(g) - 2*i(g). Factor r(m).
3*m*(m - 1)*(m + 1)**2*(m + 2)
Suppose 3*h**5 - 2*h**5 - 8*h**4 + 4*h - 10*h**5 + 13*h**5 + 16*h**2 - 8*h**3 - 8 = 0. What is h?
-1, 1, 2
Let f(n) be the first derivative of -n**7/3360 - n**6/1440 + n**5/480 + n**4/96 - 2*n**3/3 + 2. Let d(h) be the third derivative of f(h). Factor d(u).
-(u - 1)*(u + 1)**2/4
Determine b, given that 1/5*b**4 + 0 + 0*b**3 - 1/5*b**2 + 0*b = 0.
-1, 0, 1
Let y = -289/15 + 59/3. Let i = 2 + 0. Suppose 2*v**i - 6/5*v**3 - 2/5*v - y = 0. Calculate v.
-1/3, 1
Suppose 4*o - 12 = -0*o. Let q(l) be the first derivative of 2/3*l**o + 0*l - 1/4*l**4 - 1/2*l**2 + 2. Factor q(a).
-a*(a - 1)**2
Let g(q) be the first derivative of q**5/25 - 3*q**4/20 - q**3/15 + 3*q**2/10 - 27. What is v in g(v) = 0?
-1, 0, 1, 3
Factor 2/9 - 1/3*k + 1/9*k**2.
(k - 2)*(k - 1)/9
Let d = 124/3 + -41. Factor -2/3*g + 0*g**2 + d*g**4 + 2/3*g**3 - 1/3.
(g - 1)*(g + 1)**3/3
Let f(s) be the second derivative of 5*s**8/336 - s**7/70 - 7*s**6/120 + s**5/20 + s**4/12 - s**2/2 + s. Let j(a) be the first derivative of f(a). Factor j(p).
p*(p - 1)**2*(p + 1)*(5*p + 2)
Suppose -5*o + 15 = -3*z, 15*z - 11*z + 20 = -3*o. Let r be (1 - (-7)/(-4)) + 1. Factor o - r*x**2 + 0*x.
-x**2/4
Let w = 1/1803 + 18017/23439. What is z in 8/13*z**2 + 4/13 - w*z - 2/13*z**3 = 0?
1, 2
Let b(r) be the third derivative of 9/175*r**7 - 6*r**2 + 0*r**3 + 0*r + 0 + 13/600*r**6 - 1/60*r**4 - 1/30*r**8 - 3/100*r**5. Let b(v) = 0. Calculate v.
-2/7, -1/4, 0, 1/2, 1
Let c(k) be the second derivative of k**4/21 + 2*k**3/7 - k + 5. Solve c(g) = 0.
-3, 0
Let c = 350 + -345. What is f in 0*f - f**4 + 0*f**2 + 0 - 1/2*f**c - 1/2*f**3 = 0?
-1, 0
Let t(n) be the first derivative of -n**5/10 - n**4/2 - 2*n**3/3 + 31. What is a in t(a) = 0?
-2, 0
Suppose -10 = -2*o - 3*m, 2*o - 4*m + 7 = 3. Solve 0*t + 0 - 3/2*t**o - 3/2*t**3 = 0.
-1, 0
Let q(j) = -1035*j**3 - 13915*j**2 - 6875*j - 925. Let d(i) = -74*i**3 - 994*i**2 - 491*i - 66. Let c(b) = 85*d(b) - 6*q(b). Solve c(w) = 0.
-12, -1/4
Suppose -1 - 11 = -3*s. Find i, given that 2/7*i**s - 4/7*i**2 + 0*i**3 + 2/7 + 0*i = 0.
-1, 1
Let c be 1/11*6/(-4). Let q = 18/11 + c. Find i such that q*i**2 + 2 + 3*i + 1/4*i**3 = 0.
-2
Let l(z) be the first derivative of 4/13*z - 11 + 8/39*z**3 + 1/26*z**4 + 5/13*z**2. Factor l(t).
2*(t + 1)**2*(t + 2)/13
Let f(x) be the third derivative of -x**8/1176 + 2*x**7/735 + x**6/420 - x**5/105 - 11*x**2. Find n, given that f(n) = 0.
-1, 0, 1, 2
Let o(q) = 5*q - 3. Let w be o(2). Let m be 6/w*7/5. Solve 3/5 + 3/5*h**2 + m*h = 0.
-1
Let g(a) = -11*a**2 - 3*a - 8. Let x(z) = -4*z**2 - z - 3. Let r(o) = 3*g(o) - 8*x(o). What is k in r(k) = 0?
-1, 0
Suppose 5*g - 4*i - 15 = 0, 4*g + 4*i = 8 + 4. Suppose -1/3*x**2 + 2*x - g = 0. Calculate x.
3
Suppose 9 = 6*y - 9. Let g(d) be the third derivative of -y*d**2 + 0*d**5 + 1/300*d**6 + 0 + 0*d + 3/280*d**8 + 2/175*d**7 + 0*d**3 + 0*d**4. Factor g(i).
2*i**3*(3*i + 1)**2/5
Suppose 0 = h + 2*h - 6. Suppose 2*s + h*m = m + 10, 2*s - 16 = -4*m. Factor -5*f**4 + 4*f**s + 2*f**4.
f**4
Let g(j) be the second derivative of 0*j**4 + 0*j**2 + 1/70*j**5 - 1/21*j**3 - 4*j + 0. Find q such that g(q) = 0.
-1, 0, 1
Let j(v) = -v**4 + v**2 + v. Let n(l) = 8*l**4 - 3*l**3 - 12*l**2 - 10*l. Let y(g) = -18*j(g) - 2*n(g). Solve y(f) = 0 for f.
-1, 0
Let k(i) = -2*i**2 + 3*i + 6. Let v(w) = w**2 - w - 3. Let f(q) = -3*k(q) - 5*v(q). Let a be f(5). Factor 0*u - 1/2 + 1/2*u**a.
(u - 1)*(u + 1)/2
Let a(n) = -n**2 - n + 1. Let g(q) = -8*q**2 + 1 + 0*q**2 - 10*q + 8 - 5. Let u(z) = -6*a(z) + g(z). Let u(t) = 0. What is t?
-1
What is q in -2*q**3 - 32*q + 0*q**3 - 2*q**2 - 14*q**2 = 0?
-4, 0
Let n(c) = 7*c**3 + 1. Let r be n(1). Let o be (-1)/(-4)*r/9. Find t, given that 0 + o*t**2 + 2/9*t = 0.
-1, 0
Let a(s) be the first derivative of -3*s**5/5 + 9*s**4/4 - 6*s**2 + 23. Suppose a(g) = 0. Calculate g.
-1, 0, 2
Find u, given that -1/3*u**2 - 1/3*u + 2/3 = 0.
-2, 1
Let l(z) be the first derivative of z**7/280 - z**5/40 + 8*z**3/3 + 3. Let y(a) be the third derivative of l(a). Solve y(s) = 0.
-1, 0, 1
Factor 13*b + 0*b**3 + 5*b**3 - 4*b**2 - b**3 - 21*b.
4*b*(b - 2)*(b + 1)
Let y = -196 + 200. Determine w so that -w**2 + 0 + w**y + 1/2*w + 0*w**3 - 1/2*w**5 = 0.
-1, 0, 1
Let q(u) be the second derivative of -u**5/4 + u**4/4 + u**3/3 + 2*u. Factor q(r).
-r*(r - 1)*(5*r + 2)
Let d(b) be the second derivative of -b**5/110 + 2*b**4/33 - 5*b**3/33 + 2*b**2/11 - 20*b. Solve d(s) = 0.
1, 2
Suppose 2*i = -2*z - 40, 5 = -5*i + 15. Let p = 45/2 + z. Let -p + f - 1/2*f**2 = 0. What is f?
1
Let y(f) be the second derivative of -f**8/40320 - f**7/7560 + 7*f**4/12 + f. Let a(x) be the third derivative of y(x). Solve a(n) = 0 for n.
-2, 0
Let h(x) be the first derivative of -1/18*x**6 + 16/3*x - 4/3*x**4 + 11 - 8/9*x**3 + 8/3*x**2 - 7/15*x**5. Factor h(r).
-(r - 1)*(r + 2)**4/3
Let c(z) be the third derivative of -4*z**2 - 1/30*z**5 + 0*z**3 + 0*z + 1/6*z**4 + 0. Factor c(h).
-2*h*(h - 2)
Let v be (2 - 36/15)/(-4). Let w = 37/30 + v. Factor 0 + w*b - 10/3*b**2.
-2*b*(5*b - 2)/3
Let s = 708/7 - 101. Let t(u) be the second derivative of s*u**7 - 3*u**2 + 0 - 23/4*u**4 - 3*u - 11/10*u**6 + 69/20*u**5 + 11/2*u**3. Factor t(q).
3*(q - 2)*(q - 1)**3*(2*q - 1)
Let f be (-44)/(-10) + (-14)/35. Suppose -8 = -f*v + 12. Factor 0*o**4 + 1/5*o + 1/5*o**v - 2/5*o**3 + 0*o**2 + 0.
o*(o - 1)**2*(o + 1)**2/5
Let n be ((-1)/5)/((-6)/((-336)/(-7))). Factor 2/5*d**2 + 8/5 - n*d.
2*(d - 2)**2/5
Let h(i) = -i + 9. Let v be h(5). Let r(u) be the first derivative of -v*u + 2 - 2/3*u**3 - 3*u**2. Let r(d) = 0. Calculate d.
-2, -1
Let j(n) = -n**2 + 13*n - 3. Let w(u) = 3*u**2 - 38*u + 10. Let f(d) = 17*j(d) + 6*w(d). Let c be f(6). Factor 0 - 1/3*i - i**c + 4/3*i**2.
-i*(i - 1)*(3*i - 1)/3
Let x be 288/520 - (-2)/(-13). Factor x*z + 0 - 2/5*z**2.
-2*z*(z - 1)/5
Let r(o) = -5*o**5 + 20*o**4 + 5*o**3. Let t(f) = -f**4. Let v(d) = -r(d) - 20*t(d). Find l such that v(l) = 0.
-1, 0, 1
Suppose 3*y + 9 + 0 = 0. Let q be 3 + (8/(-2) - y). Suppose -3*t**3 + q + 3*t**3 + 7*t**3 + 3*t - 12*t**2 = 0. What is t?
-2/7, 1
Suppose 2*a - 3*a = -2. What is m in -2*m + 0*m**2 - a*m**2 - m**2 - 5*m**3 + 4*m**3 = 0?
-2, -1, 0
Suppose -4*m + 11 = -25. Determine i, given that -3*i + 3*i**2 + 0 + 12*i**3 - m*i**3 - 3 = 0.
-1, 1
Factor 3 - 20 + 5 + 32*z + 60*z**2 + 16*z**3.
4*(z + 1)*(z + 3)*(4*z - 1)
Let b be (-530)/(-72) + (-2)/8. Factor 256/9*s**4 - 2/9 - b*s**3 + 20/9*s - 16/3*s**2.
2*(2*s + 1)*(4*s - 1)**3/9
Determine z, given that -3 - 15/4*z**4 + 27/4*z**2 - 9/4*z**5 + 21/4*z**3 - 3*z = 0.
-2, -1, -2/3, 1
Suppose 3*i - m - 5 = 0, -4*i = -m + 2*m - 2. Let w(b) be the first derivative of 2/3*b**3 + b**2 + 1/6*b**4 + i + 2/3*b. Factor w(v).
2*(v + 1)**3/3
Let h be (3 - (-3 + 3)) + -3. Suppose h*l = -2*l. Find p, given that -2/3*p**2 - 2*p**3 - 2/3*p**5 + l - 2*p**4 + 0*p = 0.
-1, 0
Let c = 22 + -17. Let z be c/3 - (-1)/3. Factor -3/2*s**4 + 0 - 2*s**3 + 0*s - 1/2*s**z.
-s**2*(s + 1)*(3*s + 1)/2
Let w = -