*x + 4*x + 28 = 0. Solve 1/2*f**x + 3/2*f**3 + 0 + 1/2*f + 3/2*f**2 = 0 for f.
-1, 0
Let m(h) = -6 - h + 11 - 15. Let i be m(-13). Suppose -8*a - 2*a**2 + 9*a + 2*a**i - a**3 = 0. Calculate a.
0, 1
Let a(w) = 186*w + 747. Let d be a(-4). Let 2/3*k**2 + 14/3*k**d + 8/3 - 16/3*k - 10/3*k**4 + 2/3*k**5 = 0. What is k?
-1, 1, 2
Let y(v) be the first derivative of 5*v**6/6 + 11*v**5 + 215*v**4/4 + 385*v**3/3 + 160*v**2 + 100*v + 123. Find i such that y(i) = 0.
-5, -2, -1
Let k(v) be the first derivative of -5/7*v**3 + 0*v + 3/7*v**2 - 3/4*v**4 - 3. Factor k(f).
-3*f*(f + 1)*(7*f - 2)/7
Let b be (-1)/((-9)/(-9)) + (-97)/(-3). Let w = -26 + b. Factor 16/3*k + 4/3*k**3 + w*k**2 + 0.
4*k*(k + 2)**2/3
Let j(a) be the second derivative of -a**6/40 - a**5/20 + a**4/4 + 2*a**2 - 10*a. Let s(m) be the first derivative of j(m). Suppose s(l) = 0. What is l?
-2, 0, 1
Suppose 110 = 200*s - 178*s. Let m(b) be the first derivative of -s - 6/19*b**4 + 2/19*b**3 + 0*b + 14/95*b**5 + 2/19*b**2. Factor m(h).
2*h*(h - 1)**2*(7*h + 2)/19
Determine t, given that 5*t - 3*t**3 - 14*t - 30 + 0*t + 18*t**2 = 0.
-1, 2, 5
Let v = 16 + -14. Suppose v*x + 13 = s, -4*x + x = s + 7. Determine n so that -n**5 - 6 + 21*n - n**3 + n**4 - 2*n**s + 7*n**3 - 24*n**2 + 5*n**4 = 0.
-2, 1
Find g, given that 2/3*g**2 - 16*g - 104/3 = 0.
-2, 26
Let k(o) be the second derivative of -2*o + 2/3*o**3 + 0*o**5 + 0*o**4 + 0 + 0*o**2 - 1/900*o**6. Let w(q) be the second derivative of k(q). Factor w(d).
-2*d**2/5
Let j(q) be the first derivative of -3*q**5/5 - 3*q**4/2 + 7*q**3 - 6*q**2 - 120. Solve j(t) = 0 for t.
-4, 0, 1
Suppose -4*l = -4*v - 0*v + 680, 3*l = -v - 522. Let m = -171 - l. Factor 0*z**m + 0*z - 1/7*z**5 + 0 - 2/7*z**3 - 3/7*z**4.
-z**3*(z + 1)*(z + 2)/7
Let f(l) be the third derivative of -l**5/420 - 5*l**4/168 - l**3/7 + l**2 + 16*l. Factor f(j).
-(j + 2)*(j + 3)/7
Let a be 1548/(-14) + 18/(-6). Let r = 114 + a. Find p such that 1/7 + 3/7*p**2 + 1/7*p**3 + r*p = 0.
-1
Let p(j) be the second derivative of 0 - 4*j + 1/3*j**3 + 0*j**2 + 1/6*j**4. Factor p(x).
2*x*(x + 1)
Let x(f) = 4*f**3 - f**2 - f + 3. Let p be x(1). Let q(s) be the first derivative of 3*s**4 + p + 12*s**2 - 8*s - 26/3*s**3 - 2/5*s**5. Factor q(i).
-2*(i - 2)**2*(i - 1)**2
Let g(f) = -54*f**4 - 522*f**3 - 141*f**2 + 255*f - 63. Let h(i) = -27*i**4 - 260*i**3 - 70*i**2 + 128*i - 31. Let q(z) = 4*g(z) - 9*h(z). Factor q(y).
3*(y + 1)*(y + 9)*(3*y - 1)**2
Let w be (2415/(-120))/((-2)/(-8)). Let p = w - -82. Factor 17/2*j + 15*j**2 + 6*j**3 - 4*j**4 + p.
-(j - 3)*(2*j + 1)**3/2
Let h(j) be the first derivative of 196*j**5/5 + 280*j**4 + 2272*j**3/3 + 960*j**2 + 576*j + 682. Find l, given that h(l) = 0.
-2, -6/7
Let v(c) be the third derivative of -c**5/330 - 37*c**4/66 + 141*c**2. Factor v(k).
-2*k*(k + 74)/11
Let j be (-12)/2*2/6. Let y be j/(3 - 260/84). Factor -32*o**2 + 29*o**4 - 8*o - 10*o**3 + 4*o**2 - 4*o**2 + y*o**4.
2*o*(o - 1)*(5*o + 2)**2
Let c(t) be the first derivative of -t**7/840 - t**6/360 - 2*t**3/3 - 8. Let n(m) be the third derivative of c(m). Solve n(h) = 0.
-1, 0
Let r(g) be the second derivative of 5*g**7/42 - 4*g**6/3 + g**5 + 55*g**4/6 - 25*g**3/6 - 35*g**2 - 84*g - 3. Solve r(a) = 0 for a.
-1, 1, 2, 7
Suppose -3*t = -0*t + 4*p - 28, 0 = 4*p - 16. Factor n**3 - 13*n**2 + 24*n - 4*n**2 - 8*n + t*n**3 - 4.
(n - 2)*(n - 1)*(5*n - 2)
Let c = -87/40 + 23/10. Let d(t) be the second derivative of 1/8*t**3 + 0 + 0*t**2 - 3*t - c*t**4 + 3/80*t**5. Factor d(l).
3*l*(l - 1)**2/4
Let j = -101 + 101. Let p(d) be the second derivative of 1/6*d**3 + j - 5*d + 1/12*d**4 + 0*d**2. Factor p(v).
v*(v + 1)
Let t be (18/28)/(6/45 + 192/1260). Factor 3/4*a**5 - t*a**3 - 3/2*a + 15/4*a**2 - 3/4*a**4 + 0.
3*a*(a - 1)**3*(a + 2)/4
Find t, given that 159*t - 21/4*t**2 - 45 = 0.
2/7, 30
Suppose -10 = 3*r - 8*r. Suppose -2*u - 3*j + 24 = 0, 9*j = 4*u + 4*j - 4. Determine o, given that 19*o**r - 14*o**2 - o - u*o**2 = 0.
-1, 0
Determine d so that -56*d - 108*d**2 + 3*d**3 - 51*d**3 + 3*d**4 + d**4 = 0.
-1, 0, 14
Find i such that 6912/5*i**2 + 192/5*i**3 + 663552/5 + 2/5*i**4 + 110592/5*i = 0.
-24
Let p(q) be the second derivative of 0*q**2 + 0*q**3 + 0 + 1/10*q**5 - 1/6*q**4 + 17*q. Factor p(g).
2*g**2*(g - 1)
Let l be (1/(-13))/(2/(-4)). Let k be (-5250)/(-14950) - 4/92. Solve 0 - k*c**4 - l*c**3 - 2/13*c**5 + 0*c**2 + 0*c = 0.
-1, 0
Let c(p) be the second derivative of -p**6/45 + p**5/6 - 5*p**4/18 - 5*p**3/9 + 2*p**2 + 109*p. Find v such that c(v) = 0.
-1, 1, 2, 3
Find p, given that 124105 - 124905 + 5*p**3 + 72*p**2 - p**3 + 240*p = 0.
-10, 2
Find z, given that -z**4 + 0*z - 91/4*z**3 + 23/4*z**2 + 0 = 0.
-23, 0, 1/4
Solve -8 + 2/5*s**3 - 78/5*s - 36/5*s**2 = 0 for s.
-1, 20
Suppose -5*u - 4*t = -u - 108, 3*t = -u + 35. Suppose 17*j = u*j - 18. Let 0 + j*w + 2*w**2 + 1/3*w**3 = 0. Calculate w.
-3, 0
Let b(w) = -4*w**2 + 25*w - 53. Let y(l) = -2*l**2 + l + 1. Let c(f) = -2*b(f) + 2*y(f). Let c(p) = 0. What is p?
3, 9
Let l(t) be the first derivative of -t**4/32 + t**3/12 + t**2/4 - t + 67. Find h, given that l(h) = 0.
-2, 2
Let n(h) be the third derivative of h**6/600 - 19*h**5/300 + 7*h**4/24 - 17*h**3/30 - 226*h**2. Suppose n(d) = 0. What is d?
1, 17
Suppose 2*d = 5*u - 6, -2*u - 37*d + 36*d = -6. Let g(q) be the third derivative of 1/9*q**4 + 8/9*q**3 + 1/180*q**5 + 5*q**u + 0*q + 0. What is n in g(n) = 0?
-4
Suppose 0 + 1/2*c**3 + 0*c - 11/2*c**2 = 0. What is c?
0, 11
Let v(j) be the second derivative of -2*j**6/15 + 4*j**5/5 + 2*j**4/3 - 8*j**3 - 18*j**2 - 3*j - 28. Factor v(f).
-4*(f - 3)**2*(f + 1)**2
What is y in 1306*y**4 - 48 - 28*y - 24*y**3 - 1300*y**4 + 104*y**3 + 94*y**2 = 0?
-12, -1, 2/3
Let m = 261 - 255. Suppose -3*w + 12 = w. Factor -p**3 - 2*p**2 - 4*p**w + p**3 + m*p**3.
2*p**2*(p - 1)
Determine y so that 16*y - 5*y**2 - 3*y**2 + 32 + 10*y**3 - 14*y**3 = 0.
-2, 2
Let i = -1270 + 1270. Factor 1/6*k**3 + i + 0*k**2 + 0*k - 1/2*k**4.
-k**3*(3*k - 1)/6
Let i = 48 + -45. Factor 3*p + 7*p**3 - 4*p**i + p - 7*p**3.
-4*p*(p - 1)*(p + 1)
Let n be ((-60)/(-25))/(2/(-20)). Let y be -5*(n/(-10) + -3). Solve 24*a - 4*a**3 + 4*a**3 + 4*a**3 - 30*a**2 + 4*a**y + 8 = 0 for a.
-1/4, 2
Suppose 5*w + f + 4 = 0, -217*w - 4*f - 16 = -221*w. Determine a so that w + 1/2*a**2 - 1/2*a**4 - 1/4*a**5 + 0*a + 1/4*a**3 = 0.
-2, -1, 0, 1
Factor -64/17*t**4 - 5220/17*t**2 + 818/17*t**3 - 21168/17 + 2/17*t**5 + 16632/17*t.
2*(t - 7)**2*(t - 6)**3/17
Let l be 490/(-441)*(-78)/10. Solve -l*y + 10/3*y**2 - 4 = 0.
-2/5, 3
Suppose 6*n - 23 = n - 4*x, 4*x + 7 = 5*n. Let y(b) be the second derivative of 1/12*b**4 - 1/2*b**2 - 5*b + 1/20*b**5 - 1/6*b**n + 0. What is i in y(i) = 0?
-1, 1
Let b be -4 + (-6)/(-27) + 11905/(-45). Let d = 271 + b. Find y, given that -d*y - 8/3 - 2/3*y**2 = 0.
-2
Let y(n) = -2*n**2 - 13*n + 357. Let w be y(-17). Factor 2/7*a**4 - 2/7*a**3 + 0*a + w - 4/7*a**2.
2*a**2*(a - 2)*(a + 1)/7
Suppose d = -0 + 5. Factor -2*q**5 - 4*q**3 - d*q**2 + 8*q + 16*q**3 - 15*q**2 + 4*q**4 - 2*q**5.
-4*q*(q - 1)**3*(q + 2)
Suppose -2*q + 5 = -13*o + 10*o, 3*q = -4*o + 33. Find p, given that -16/7*p**o - 20/7*p**2 + 0 - 4/7*p**4 - 8/7*p = 0.
-2, -1, 0
Let o(q) be the third derivative of 17*q**6/360 - 23*q**5/90 + 41*q**4/72 - 2*q**3/3 + 20*q**2. Solve o(t) = 0.
12/17, 1
Let u be -6*(-8)/48 - (-2 + 35/25). Determine i so that 16/5*i + u*i**4 - 36/5*i**3 + 0 + 0*i**2 + 12/5*i**5 = 0.
-2, -2/3, 0, 1
Suppose 2*r - 4*r = -6. Suppose -r*g + 8 = 5*y + 2, -5*y - g = -12. Find n such that -n**2 - n**y + n**3 - n**3 + 0*n**3 = 0.
-1, 0
Let d be (6/4)/(((-6885)/(-60))/17). Let h(k) be the first derivative of 7 + 1/3*k**2 - 4/3*k + d*k**3. Factor h(i).
2*(i - 1)*(i + 2)/3
Let s(r) = r**5 - r**4 - r**3 + r**2 + r. Let o(z) = -15*z**5 + 25*z**4 + 15*z**3 - 45*z**2 - 10*z + 20. Let y(p) = o(p) + 10*s(p). Let y(t) = 0. Calculate t.
-1, 1, 2
Suppose -12 = x - 5*x. Let y = -17/6 + x. Determine p so that 0 + y*p**2 + 0*p = 0.
0
Let v(u) = 4*u + 45. Let f be v(-10). Factor -61*k**2 + 15 + 5 + 12*k + 41*k**2 - f*k**3 - 7*k.
-5*(k - 1)*(k + 1)*(k + 4)
Suppose 10*i**3 - 30*i + 70*i**2 + 20*i**3 - 250 - 2*i**4 + 182 = 0. Calculate i.
-2, -1, 1, 17
Let r be 3582/5712 + (-15)/40. Let q = r + 4/119. Factor -4/7*m - 6/7*m**2 + 0 - q*m**3.
-2*m*(m + 1)*(m 