**3 - 6/7*d**h + 6/7 - 3/7*d = 0 for d.
-1, 1, 2
Suppose 3*n = -0 + 9. Factor -w**2 - w + 2 + 0*w**2 - w + n*w.
-(w - 2)*(w + 1)
Let w(m) = -m**3 - m**2 + 4*m + 6. Let d(y) = -y**3 - 13*y**2 - y - 15. Let t be d(-13). Let u be w(t). Factor -j**u + 5/4*j**3 - 1/4*j + 0.
j*(j - 1)*(5*j + 1)/4
Suppose 5*i - 192 = -4*o, -o = -8*i + 4*i - 48. Let j be (-4)/o - 15/(-20). Factor 4/3*h + j*h**2 + 0.
2*h*(h + 2)/3
Let c(o) be the third derivative of -16*o**7/315 + o**6/9 + o**5/15 - 2*o**4/9 - 2*o**3/9 + 166*o**2. Let c(h) = 0. What is h?
-1/2, -1/4, 1
Let y be (-16)/(-10)*35/14. Let z = 6 - y. Factor -2 + 3*m**2 + 3 + z*m - 3*m**2 + m**2.
(m + 1)**2
Let r(u) be the third derivative of -1/30*u**6 - u**5 + 2*u**2 + 0 + 0*u - 25/2*u**4 - 250/3*u**3. Solve r(g) = 0 for g.
-5
Suppose -18*m - 10 = -82. Determine k, given that -10/13*k - 2/13*k**5 + 10/13*k**m - 20/13*k**3 + 2/13 + 20/13*k**2 = 0.
1
Let o be 4*(1/(-3) + (-25)/(-30)). Let r be (-189)/(-49) + 1 + (2 - 6). Solve -r*q + 0 + 2/7*q**o = 0.
0, 3
Let r be 94126/570 - 0/2. Let b = r - 165. Find l such that -8/15*l**4 + 0*l + 0 + 0*l**2 - b*l**5 - 8/15*l**3 = 0.
-2, 0
Let c = 136 - 114. Let y be 4/c - (-128)/22. Solve -4*w - y - 2/3*w**2 = 0 for w.
-3
Let j(m) = -5*m**4 + 31*m**3 - 26*m**2 - 6*m + 6. Let b(i) = 51*i**2 - 4 - 5 - 61*i**3 - 2 + 10*i**4 + 0 + 11*i. Let t(v) = -6*b(v) - 11*j(v). Factor t(r).
-5*r**2*(r - 4)*(r - 1)
Let t(r) be the second derivative of 2*r**5/95 + r**4/114 - 118*r. Solve t(b) = 0 for b.
-1/4, 0
Let v(j) = -6*j**2 - 3*j + 3 - 2*j + 0*j**2 + 3*j**2. Let g(x) = 2*x**2 + 4*x - 2. Let m(d) = 5*g(d) + 4*v(d). Let m(s) = 0. What is s?
-1, 1
Suppose -4*u = -3*u - 4. Suppose -4*f + u = -2*f. Find j such that -11*j**f + 3*j**2 + 16*j - 4*j**2 + 15 + 1 = 0.
-2/3, 2
Suppose 10*u - 160 = -10. Suppose 0 = 5*d - u*d + 20. Factor 0*o + 2/5*o**3 + 0 - 1/5*o**d - 1/5*o**4.
-o**2*(o - 1)**2/5
Determine h, given that -74/3*h**2 + 1369/3*h + 1/3*h**3 + 0 = 0.
0, 37
Suppose -120*d + 92 = -388. Determine o so that -1/4*o**3 + 1/4*o**d - 1/4*o**2 + 0*o + 0 + 1/4*o**5 = 0.
-1, 0, 1
Let b(n) be the third derivative of -n**2 + 0*n - 1/12*n**4 - 1/78*n**5 + 0 + 2/13*n**3. Determine u so that b(u) = 0.
-3, 2/5
Suppose 0 = 3*i + 2*q - 4 - 18, 0 = 4*i - q. Factor -9/2 + 3/4*t**i - 15/4*t.
3*(t - 6)*(t + 1)/4
Let q(n) be the third derivative of n**8/1344 + n**7/168 - 7*n**6/480 - n**5/48 + n**4/16 + 180*n**2. Factor q(t).
t*(t - 1)**2*(t + 1)*(t + 6)/4
Let f be (64/60)/((-60)/(-75)). Factor 2/3 + f*j**2 - 5/3*j - 1/3*j**3.
-(j - 2)*(j - 1)**2/3
Let k be (1 + (-30)/54)/(2/9). Factor 3*t**4 + k*t**5 + 604*t**3 - t**5 - 4*t**2 - 604*t**3.
t**2*(t - 1)*(t + 2)**2
Factor -111/7 + 111/7*l**2 - 3/7*l**3 + 3/7*l.
-3*(l - 37)*(l - 1)*(l + 1)/7
Let j(u) be the third derivative of u**7/210 + 5*u**6/12 + 125*u**5/12 + 2*u**2 - 11. Find n, given that j(n) = 0.
-25, 0
Let q = 10221 - 51101/5. Factor -1/5*l**2 + 3/5*l + q.
-(l - 4)*(l + 1)/5
Let v(t) be the first derivative of -t**7/168 + t**6/36 + t**5/8 + 47*t**3/3 - 10. Let u(q) be the third derivative of v(q). Factor u(b).
-5*b*(b - 3)*(b + 1)
Suppose -4*o + x + 7 + 4 = 0, 0 = 5*x - 5. Suppose o*w - 23 = -0*w + 4*j, 4*j = -8. Factor 7*y**4 + 2*y**2 - 3*y**w + 5*y**5 + 6*y**3 - y**4.
2*y**2*(y + 1)**3
Suppose -4*h = -0*z - 2*z - 26, 3*h = 2*z + 21. Suppose -4*q + a + h = -8, -4*q - 2 = 2*a. Factor -2 - 1/2*v**q + 1/4*v**4 + 3/4*v**3 - 3*v.
(v - 2)*(v + 1)*(v + 2)**2/4
Suppose 145*p - 12 = 139*p. Factor 2/5*o**3 - 2/5*o + 6/5*o**p - 6/5.
2*(o - 1)*(o + 1)*(o + 3)/5
Factor -1/2*q**4 + 0 + 0*q**3 + 1/2*q**2 + 0*q.
-q**2*(q - 1)*(q + 1)/2
Let d(b) be the first derivative of 8/15*b**3 + 32 - 2/5*b**2 + 0*b**4 + 2/15*b**6 - 8/25*b**5 + 0*b. Factor d(h).
4*h*(h - 1)**3*(h + 1)/5
Let k be (-7)/(-42)*13 + -2. Let s(m) be the third derivative of 16/15*m**5 - k*m**6 - 2/3*m**4 + 5*m**2 + 0 + 0*m**3 + 0*m - 2/15*m**7. Factor s(d).
-4*d*(d - 1)*(d + 2)*(7*d - 2)
Let s be 3/((-9)/(-6)) - 13. Let k = 13 + s. Suppose 0*i**2 + 2*i**4 - i**3 - i**5 - i**4 + k*i**3 - i**2 = 0. Calculate i.
-1, 0, 1
Let h(z) be the second derivative of z**4/6 - 32*z**3/3 + 31*z**2 + 418*z. Solve h(r) = 0.
1, 31
Let -22424*z + 30*z**2 + 3*z**3 - 160 + 22424*z - 8*z**3 = 0. What is z?
-2, 4
Let d = 1 + -2. Let o be (-3 - 0)*d + -1. Factor -6*v - 7*v + 9*v + 4*v**o.
4*v*(v - 1)
Suppose -34*a - 3 - 406*a**3 - 576*a**2 - 106*a**3 - 32*a + 1 = 0. Calculate a.
-1, -1/16
Suppose -4/9*r**5 - 2*r**4 + 28/3*r**2 + 56/9*r + 2/9*r**3 - 16/3 = 0. What is r?
-3, -2, 1/2, 2
Factor -22/3*x + 6*x**2 + 4/3.
2*(x - 1)*(9*x - 2)/3
Let b(g) = 8*g - 5. Let x = 31 - 30. Let n be b(x). Factor 0*v + 4/9*v**2 + 0 + 2/9*v**n - 2/9*v**4.
-2*v**2*(v - 2)*(v + 1)/9
Let a = -1348 - -21577/16. Let u = a - 1/16. Factor 1/2 - 1/2*m**2 - u*m**3 + 1/2*m.
-(m - 1)*(m + 1)**2/2
Let p(d) be the second derivative of d**6/6 + 3*d**5/2 - 25*d**4/4 + 20*d**3/3 + d - 18. Factor p(c).
5*c*(c - 1)**2*(c + 8)
Solve -22*a + 42*a + 130*a**3 - 9 - 11 + 135*a**2 + 35*a**4 = 0.
-2, -1, 2/7
Let r(u) = -9*u**4 - 6*u**3 + 12*u**2 - 4*u - 3. Let y(t) = -8*t**4 - 4*t**3 + 12*t**2 - 4*t - 4. Let w(m) = -4*r(m) + 5*y(m). Suppose w(d) = 0. What is d?
-1, 1, 2
Find o such that 0*o - 4/7*o**4 - 64/7*o**2 + 0 - 32/7*o**3 = 0.
-4, 0
Suppose 13/3*c - 2*c**3 - 5/3*c**2 - 2/3 = 0. What is c?
-2, 1/6, 1
Let p be (-12)/(7*(-27)/(-252)*-6). Let -2/3*d**4 - 1/2*d**2 + p*d + 2/3 - 13/6*d**3 = 0. Calculate d.
-2, -1/4, 1
Let w(u) = -u**2 - 96*u - 90. Let c(y) = y**2 + 96*y + 89. Let t(l) = -5*c(l) - 6*w(l). Factor t(x).
(x + 1)*(x + 95)
Let m(w) be the third derivative of w**6/24 + 4*w**5/3 - 95*w**4/6 + 200*w**3/3 + 352*w**2. Find o, given that m(o) = 0.
-20, 2
Let -2/9*z**3 - 14/9*z - 2/3 - 10/9*z**2 = 0. What is z?
-3, -1
Let y(d) be the second derivative of 0 + 1/10*d**4 - 1/50*d**5 + 0*d**2 - 14*d + 0*d**3. Factor y(b).
-2*b**2*(b - 3)/5
Let i(s) be the second derivative of -1/20*s**5 - 6*s - 2*s**3 + 1/2*s**4 + 0 + 4*s**2. Find r such that i(r) = 0.
2
Let c be 3 - (-4 + (-1 - -4)). Factor c*i**3 - 14*i**3 - 2 - 2 + 4*i + 4*i**2 + 6*i**3.
-4*(i - 1)**2*(i + 1)
Let h(f) = 3*f**3 + 12*f**2 + 12*f + 3. Let q(z) = z**2 + 2*z + 1. Let k(g) = h(g) - 3*q(g). Let k(s) = 0. What is s?
-2, -1, 0
Let l = 149/1045 - -12/209. Let z(s) be the first derivative of 2/15*s**3 + l*s**2 - 9 + 0*s. Determine v so that z(v) = 0.
-1, 0
Let g(t) be the second derivative of t**5/60 + 41*t**4/36 + 475*t**3/18 + 361*t**2/2 + 101*t. Suppose g(m) = 0. Calculate m.
-19, -3
Let u(f) = -f**3 - 11*f**2 + 3. Let d be u(-11). Factor -7 - 15*p + 40*p**2 + 22*p - 12*p - 25*p**3 - d.
-5*(p - 1)**2*(5*p + 2)
Suppose -4*r - 16 + 40 = 0. Let x be (-4)/12 - (-14)/r. Factor 26*t**3 - 33*t**3 - 3*t**x - 9*t**4 + 3*t**5 + 16*t**3.
3*t**2*(t - 1)**3
Find f, given that 7*f**2 + 2*f**2 - 15*f**2 + 2*f**4 + 4*f**3 - f**5 + 4*f**2 - 3*f = 0.
-1, 0, 1, 3
Let p(t) be the first derivative of 1/2*t**4 - 3*t - 44 - 1/18*t**6 + 1/5*t**5 - 10/9*t**3 - 7/2*t**2. Suppose p(w) = 0. What is w?
-1, 3
Factor -15*h - 3*h**4 + 7 + 0*h**2 + 5*h**3 + 9*h**2 - 1 - 2*h**3.
-3*(h - 1)**3*(h + 2)
Let r(h) be the second derivative of -h**2 - 1/18*h**4 - h + 0 - 4/9*h**3. Solve r(y) = 0 for y.
-3, -1
Let p = -2662 - -2664. Suppose -4/15*s - 2/15*s**3 + 0 - 2/5*s**p = 0. What is s?
-2, -1, 0
Let y(c) be the third derivative of c**6/60 + 14*c**5/15 + 9*c**4/4 - 686*c**2. Factor y(q).
2*q*(q + 1)*(q + 27)
Suppose -2 = -5*a + 8. Suppose -2*w = 3*h - 12, 5*h - a*w = 3*w + 20. Find m, given that -m**2 - 6*m**3 - 6*m**h + 3*m**4 - 2*m**2 = 0.
-1, 0
Let w = 12/91 - 167/1365. Let t(h) be the third derivative of 0*h - 1/30*h**5 + 4*h**2 + 0*h**4 + 0*h**3 - 1/30*h**6 + 0 - w*h**7. Suppose t(l) = 0. What is l?
-1, 0
Let h(v) be the second derivative of -v**6/120 - 9*v**5/40 - 3*v**4/2 - 47*v**3/12 - 39*v**2/8 + 174*v + 1. Determine q so that h(q) = 0.
-13, -3, -1
Let x(a) be the second derivative of -a**6/120 + 3*a**5/8 - 7*a**4/4 + 41*a**3/12 - 27*a**2/8 - a + 63. Factor x(r).
-(r - 27)*(r - 1)**3/4
Let y(b) be the second derivative of -b**9/3780 - b**8/240 - 8*b**7/315 - b**6/15 - 2*b**4 + 29*b. Let j(c) be the third derivative of y(c). Factor j(t).
-4*t*(t + 2)**2*(t + 3)
Suppose 14*d - 18*d = -80. What is l in 3*l**3 + d*l**2 - 16*l - 4*l**3 - 