x(i) = 0. What is i?
0, 2
Let h(a) be the third derivative of a**8/2240 + a**7/840 + a**4/12 - a**2. Let j(i) be the second derivative of h(i). Solve j(g) = 0.
-1, 0
Let j(t) be the third derivative of 13*t**2 - 1/600*t**5 - 3/5*t**3 + 0 + 0*t - 1/20*t**4. Factor j(f).
-(f + 6)**2/10
Let b(u) = -17*u**5 + 17*u**4 + 20*u**3 + 7. Let v(n) = 10*n**3 + 6 - 2 + 12*n**4 - 3*n**4 - 9*n**5. Let p(s) = -4*b(s) + 7*v(s). Factor p(i).
5*i**3*(i - 2)*(i + 1)
Suppose 1186*a**2 - 12*a - 2*a**3 - 2397*a**2 + 1201*a**2 = 0. Calculate a.
-3, -2, 0
Suppose 5*k - 17 = -4*c, 2*k - 10 = -5*c + 7. Factor 0*j**4 - 2/11*j**5 + 0 + 0*j**2 + 4/11*j**c - 2/11*j.
-2*j*(j - 1)**2*(j + 1)**2/11
Let o(s) be the first derivative of -3*s + 0*s**3 + 0*s**2 + 1/33*s**4 - 3 + 1/22*s**5. Let w(b) be the first derivative of o(b). Factor w(d).
2*d**2*(5*d + 2)/11
Determine n so that 296/5 - 8/5*n**5 + 124*n**4 + 2684/5*n**2 - 1484/5*n - 2108/5*n**3 = 0.
1/2, 1, 74
What is j in -168*j**3 + 1984*j + 74*j**4 - 961 - 75*j**4 + 232*j**3 - 1086*j**2 = 0?
1, 31
Suppose 3*g - l - 41 = 94, 226 = 5*g - 2*l. Suppose 3*d = -2 + g. Solve -184*m**2 - 10*m + 24*m**3 - 9*m**4 - d*m + 181*m**2 + 12 = 0.
-1, 2/3, 1, 2
Let i(r) = -2*r**3 + 1. Let p(w) = 7*w**3 + 20*w**2 + w - 24. Let c(g) = 12*i(g) + 3*p(g). Factor c(h).
-3*(h - 20)*(h - 1)*(h + 1)
Let d be -3*1 + 23 + -10. Suppose 3*r - 20 = d. Factor -12*z**4 - 16*z**2 - 5 - 3*z**4 - r*z**3 + 15*z**2 + 10*z**5 + 21*z**2.
5*(z - 1)**3*(z + 1)*(2*z + 1)
Let x = 14 - 9. Factor 2*m**4 - 7*m**4 + 2*m**x + 11*m**4.
2*m**4*(m + 3)
Let i = -1634/3 + 545. Let i*j - 1/3*j**3 - j**2 + 1 = 0. Calculate j.
-3, -1, 1
Factor f**3 - 3463 - 36*f**2 + 3463 - 59*f**2.
f**2*(f - 95)
Let u be 1506/18 - (-2 - (-24)/9). Let a = u + -81. Factor 1/2*t**3 - t**4 + 0*t**a + 0 + 0*t + 1/2*t**5.
t**3*(t - 1)**2/2
Let z(a) = 9*a**2 - 20*a + 22. Let t(w) = -8*w**2 + 19*w - 21. Let h(q) = 7*t(q) + 6*z(q). Let k be h(5). Let k - 14/5*u**3 + 4/5*u**2 + 0*u = 0. Calculate u.
0, 2/7
Suppose 9*t**2 + 4*t**3 - 20*t**5 - t**2 - 18*t**3 - 38*t**4 + 6*t**5 - 2*t**3 = 0. What is t?
-2, -1, 0, 2/7
Suppose -20*n + 17*n = 240. Let c = n + 82. Factor -1/4*m**c - 1/4*m + 0.
-m*(m + 1)/4
Let f(y) = -y**2 + 16*y - 58. Suppose 2*n = -3*i + 28, 4*i + 3*n = i + 27. Let c be f(i). Solve 0 - 4/9*j + 14/9*j**c = 0.
0, 2/7
Let l be (6 - 690/(-24)) + 2/8. Factor -l*u**2 + 1 + 2*u - u**4 - 40*u**2 + 75*u**2 - 2*u**3.
-(u - 1)*(u + 1)**3
Factor -824/5*t - 8/5 - 21218/5*t**2.
-2*(103*t + 2)**2/5
Let c(s) = 2*s**4 - s**3 - s**2 - 2*s - 1. Let d(h) = 4*h**4 - 72*h**3 + 656*h**2 - 976*h - 404. Let i(g) = 8*c(g) - d(g). Let i(f) = 0. Calculate f.
-11, -1/3, 3
Let t(q) be the third derivative of q**5/300 - q**4/60 + q**3/30 + 10*q**2 + 2*q. Factor t(d).
(d - 1)**2/5
Let s be 28/10 + (-28)/35. Suppose 0*r + 1/4*r**4 - 1/4*r**s + 1/4*r**5 - 1/4*r**3 + 0 = 0. What is r?
-1, 0, 1
Let s(q) be the first derivative of q**5/20 - q**4/16 - 5*q**3/12 - 3*q**2/8 - 30. Let s(h) = 0. Calculate h.
-1, 0, 3
Suppose 2*d = j + 40, 0*d - 2*j + 100 = 5*d. Let p = -6 + d. Determine z so that -5*z**2 - p*z**2 + 4*z + z**2 = 0.
0, 2/9
Let d(w) be the first derivative of -1/27*w**6 - 4/9*w**2 - 4/15*w**5 + 0*w - 13/18*w**4 - 3 - 8/9*w**3. Factor d(s).
-2*s*(s + 1)**2*(s + 2)**2/9
Let f(z) = -2*z**3 - 17*z**2 - 10*z - 14. Let u be f(-8). Suppose -a = -3, -7 = o - 3*a + 2. Let -1/3*m**u + o + m = 0. Calculate m.
0, 3
Let b be (-6)/(-84) + (721/21)/(196/21). Let b*u - 12*u**2 + 3*u**3 + 75/4 = 0. What is u?
-1, 5/2
Let g(m) = -3 + 8*m**2 + 54*m - 47 - 5*m**2 + 7*m**2. Let i(q) = 2*q**2 + 11*q - 10. Let b(w) = 6*g(w) - 28*i(w). Factor b(p).
4*(p - 1)*(p + 5)
Let i(p) be the second derivative of -2*p**4/3 + 25*p**3/3 + 29*p**2 + 10*p - 1. What is b in i(b) = 0?
-1, 29/4
Let f(d) = d. Let l(q) = q**3 - 12*q**2 - 12*q - 11. Let a be l(13). Let r be f(a). Factor -6*c**r - 12 - 7 - 2*c**3 + 17 - 6*c.
-2*(c + 1)**3
Let t(s) be the first derivative of 10*s**7/21 + s**6/2 - 9*s**5/4 + 5*s**4/6 - s + 13. Let x(v) be the first derivative of t(v). Solve x(p) = 0.
-2, 0, 1/4, 1
Suppose -8*w = -4*w - 8. Let u be (w - -1)/((-6)/(-12)). Suppose -3*f**5 + 7*f - 6*f**4 + 8*f + 5*f + u*f**2 - 17*f = 0. What is f?
-1, 0, 1
Suppose 4*r - 11 = d + 21, 0 = -2*r + d + 18. Suppose 30 = r*n - n. Factor 6*g - 2*g + n - 2*g**2 + 3 - g**3.
-(g - 2)*(g + 2)**2
Suppose -3774 = -11*r - 3752. Factor 0 + 1/3*s**r + 0*s.
s**2/3
Let y = 141 - 125. Let v(g) = 12*g**3 - 12*g + 16. Let p(j) = j**2 - j + 1. Let m(s) = y*p(s) - v(s). Factor m(x).
-4*x*(x - 1)*(3*x - 1)
Let k(g) = -2*g**2. Let j(h) = 22*h**2 + 596*h + 44402. Let y(r) = -2*j(r) - 20*k(r). Factor y(m).
-4*(m + 149)**2
Let l be (-15 - -10) + (-6)/(-1). Let x(m) be the first derivative of -4/5*m + l + 1/5*m**2 + 2/15*m**3. Factor x(u).
2*(u - 1)*(u + 2)/5
Let j(y) be the first derivative of 5*y**4/12 + 20*y**3/3 + 30*y**2 - 26*y + 20. Let k(x) be the first derivative of j(x). Factor k(i).
5*(i + 2)*(i + 6)
Determine h so that -12*h**2 + 146*h**4 - 12*h**3 + 0*h**3 - 150*h**4 - 4*h = 0.
-1, 0
Let i(a) be the third derivative of -a**6/200 - 201*a**5/100 - 13467*a**4/40 - 300763*a**3/10 + 43*a**2 + 2. Factor i(k).
-3*(k + 67)**3/5
Suppose 0 = 5*w - 2*w + 4*n - 556, -3*n + 12 = 0. Let p be 1/15*w/54. Find b such that 4/9*b + 0 - 2/3*b**2 + p*b**4 + 0*b**3 = 0.
-2, 0, 1
Let w(z) be the second derivative of -z**5/20 + 5*z**4/84 + 8*z**3/21 + 2*z**2/7 + 114*z. Let w(v) = 0. What is v?
-1, -2/7, 2
Let w(r) = r**4 + 24*r**3 + 108*r**2 - 4*r. Let f(s) = s**4 + 23*s**3 + 106*s**2 - 3*s. Let j(a) = -4*f(a) + 3*w(a). Let j(z) = 0. What is z?
-10, 0
Suppose 6 + 45/8*r - 3/8*r**2 = 0. What is r?
-1, 16
Factor 42*s + 51/2*s**2 + 18 + 9/2*s**3.
3*(s + 2)*(s + 3)*(3*s + 2)/2
Suppose 2*w - 8 = -3*a, 3 = -a + 4*w + w. Let h(n) be the third derivative of -1/15*n**5 + 1/3*n**4 + 0*n + 0 + 2*n**2 + a*n**3. Factor h(j).
-4*(j - 3)*(j + 1)
Let m(t) be the first derivative of -1/4*t**4 + 1/15*t**5 + 1/3*t**3 + 1 + 0*t - 1/6*t**2. Factor m(r).
r*(r - 1)**3/3
Let s(w) be the first derivative of -10/3*w**2 - 20/3*w**3 - 57 - 15/4*w**4 + 0*w. Factor s(x).
-5*x*(3*x + 2)**2/3
Let x(y) be the first derivative of 0*y + 26 + 1/15*y**3 - 1/4*y**4 + 2/25*y**5 + 1/5*y**2. Factor x(l).
l*(l - 2)*(l - 1)*(2*l + 1)/5
Let w(f) = 4*f**3 + 1. Let j be w(1). Suppose 3 = j*v + 28, 4*r = v + 17. Factor -4 - 4*z**3 - 14*z + 11*z**3 + 7*z**r + 4*z**2 + 0*z**3.
2*(z - 1)*(z + 1)*(7*z + 2)
Let v = 144/101 + 7738/1515. Factor 8/5*b - 2/15 - 44/15*b**2 - 56/5*b**3 - v*b**4.
-2*(b + 1)**2*(7*b - 1)**2/15
Let u(v) = 5*v**3 - 4*v**2 - 19*v - 10. Let t be u(6). Factor t*m**5 - 5*m + 10 - 787*m**5 - 3*m**3 + 40*m**4 - 50*m**2 - 17*m**3.
5*(m - 1)*(m + 1)**3*(5*m - 2)
Let f = 11018 + -43667/4. Let j(n) be the first derivative of -3 + f*n**4 + 39*n**3 - 12*n - 24*n**2. Suppose j(b) = 0. What is b?
-2/5, -2/9, 1/3
Let i(r) be the third derivative of r**6/24 + 5*r**5/12 + 5*r**4/8 - 15*r**3/2 + 27*r**2 - 8*r. Factor i(z).
5*(z - 1)*(z + 3)**2
Let p = -13769/15 + 918. Let b(j) be the second derivative of 0*j**3 + 1/3*j**4 - p*j**6 + 0 + 7*j + 0*j**5 - j**2. Let b(t) = 0. What is t?
-1, 1
Factor 178 + 177 - 3*r**2 + 3*r - 349.
-3*(r - 2)*(r + 1)
Let n(s) = 11*s**3 - 6*s + 4. Let d(l) = 52*l**3 - 30*l + 20. Let r(x) = -6*d(x) + 28*n(x). Let r(b) = 0. What is b?
-2, 1
Let m(w) be the third derivative of w**7/735 - 3*w**6/140 + w**5/70 + 37*w**4/84 + 8*w**3/7 - 359*w**2. Factor m(j).
2*(j - 8)*(j - 3)*(j + 1)**2/7
Let b(z) = -885*z**2 + 1600*z + 220. Suppose 8*m - 15 = 3*m. Let h(t) = 68*t**2 - 123*t - 17. Let g(y) = m*b(y) + 40*h(y). Solve g(d) = 0.
-2/13, 2
Suppose -259*u + 88*u**3 - 87*u**3 + 38*u**2 - 800 + 579*u = 0. Calculate u.
-20, 2
Let z(m) = -m**4 - 2*m**3 - 2. Let c(d) = 16*d**4 - 4*d**3 + 48*d**2 + 24. Let l(w) = -c(w) - 12*z(w). What is i in l(i) = 0?
0, 3, 4
Let t = -182 - -182. Let k(h) be the third derivative of t + 1/480*h**6 + 0*h - 1/96*h**4 + 6*h**2 - 1/24*h**3 + 1/240*h**5. Determine a, given that k(a) = 0.
-1, 1
Let w(s) be the second derivative of 0 + 2/3*s**3 - 7*s + 1/12*s**4 + 3/2*s**2. Solve w(m) = 0 for m.
-3, -1
Let j(o) = -1. Let v(g) = -5*g**2 - 445*g - 875. Let m(d) = 5*j(d) - v(d). What is t in m(t) = 0?
-87, -2
Let s(j) be the first derivati