-28). Let i be (p + (-6)/(-1))*(-2)/(-4). What is c in 1/4*c**2 - 3/4*c + i = 0?
1, 2
Suppose -9 = 2*v - 3*v. Let q be (32/40 - 1) + v/20. Factor -1/4*y**3 + 0*y**2 + 1/2*y**4 + 0 + 0*y - q*y**5.
-y**3*(y - 1)**2/4
Let f(z) be the first derivative of -z**5/4 - 35*z**4/12 - 20*z**3/3 - 3*z**2/2 + 6*z - 60. Let g(m) be the second derivative of f(m). Solve g(s) = 0 for s.
-4, -2/3
Let d(k) = 55*k - 20*k**3 - 19*k**2 + 11*k**2 - 80 + 29*k. Let o(s) = 7*s**3 + 3*s**2 - 28*s + 27. Let w(n) = 3*d(n) + 8*o(n). Factor w(c).
-4*(c - 2)*(c - 1)*(c + 3)
Suppose 6 = 3*v - 9. Suppose 2*a + 2*d = 16, -3*a = v*d - 52 + 18. Let 0*j + j + 4 - j**3 + 2*j**2 + 3*j - a*j**2 = 0. What is j?
-2, -1, 2
Let x be (-27 + 3059/115)*-10. Let f(l) be the second derivative of 25/2*l**2 - 1 - 5/4*l**3 + 2*l - 5/24*l**x. Solve f(k) = 0 for k.
-5, 2
Let w(u) = 2*u**4 - 106*u**3 + 110*u**2 + 6*u + 6. Let s(v) = 2*v**4 - 104*v**3 + 107*v**2 + 5*v + 5. Let r(a) = -6*s(a) + 5*w(a). Suppose r(h) = 0. What is h?
0, 1, 46
Suppose 4*c = 6*o - 8*o + 32, -3*o = -5*c + 18. Let m = -738/35 + 156/7. Factor -o - m*w + 2/5*w**2.
2*(w - 5)*(w + 2)/5
Suppose 1044*g = r + 1048*g - 12, 2*g - 6 = -4*r. Factor -3/4*u**4 + r + 0*u + 0*u**2 - 1/4*u**5 + u**3.
-u**3*(u - 1)*(u + 4)/4
Let q be (-12)/420*-285 - (-136)/(-17). Suppose -k + 2 + 0 = -o, 5*k - 10 = 0. Factor 1/7*x**5 + o*x + q*x**4 - 4/7*x**3 + 0 - 4/7*x**2.
x**2*(x - 2)*(x + 1)*(x + 2)/7
Let g = 18 - 8. Let g*n**2 - 6*n**3 + 5*n**4 - 426*n - 15*n**4 + 424*n + 8*n**5 = 0. Calculate n.
-1, 0, 1/4, 1
Let q(n) be the first derivative of n**7/112 - n**6/80 - 3*n**5/80 - 22*n - 104. Let u(j) be the first derivative of q(j). Find i such that u(i) = 0.
-1, 0, 2
Let a(p) = 76*p - 3256. Let y be a(43). Let f(l) be the second derivative of y*l + 0*l**2 + 1/9*l**3 + 0 + 1/36*l**4. Solve f(x) = 0.
-2, 0
Factor -2/11*j**3 - 16473894/11*j - 9099080786/11 - 9942/11*j**2.
-2*(j + 1657)**3/11
Suppose 170486 = -121*o + 170970. Suppose -5/2*s**2 + 0 - 1/4*s**5 - 3*s**3 - 3/2*s**o - 3/4*s = 0. What is s?
-3, -1, 0
Let f(o) be the first derivative of 0*o**3 - 1/2*o**2 - o - 1/4*o**4 - 15. Let q(d) = 9*d**3 - 10*d**2 + 4*d + 4. Let l(m) = 4*f(m) + q(m). Factor l(c).
5*c**2*(c - 2)
Let b = 401 + -399. Find d, given that -120 - 133*d - 23*d - 38*d**b + 9*d - 2*d**3 + 19*d = 0.
-15, -2
Let o(w) be the second derivative of -2*w - 1/12*w**2 + 1/72*w**4 - 1/36*w**3 + 8 + 1/120*w**5. Let o(h) = 0. What is h?
-1, 1
Let l(m) be the second derivative of m**4/60 - 2*m**3/3 - 105*m**2/2 - 2*m + 1472. Solve l(b) = 0.
-15, 35
Let i(f) be the third derivative of f**7/126 - 5*f**6/12 + 55*f**5/36 + 25*f**4/12 - 140*f**3/9 + 664*f**2 - 2*f. Determine l so that i(l) = 0.
-1, 1, 2, 28
Let i(g) be the second derivative of -g**5/4 + g**3/6 - 12*g. Let r be i(-1). Let -21*o**3 + 55*o**3 - 16*o**3 - 16*o**3 - r*o**2 = 0. Calculate o.
0, 2
What is a in 190/13 - 2/13*a**4 + 192/13*a - 188/13*a**2 - 192/13*a**3 = 0?
-95, -1, 1
Suppose -5*q - 2*z = 4, 3877*q - 7*z - 39 = 3882*q. Solve -14*w**q + 0 + 4/3*w = 0 for w.
0, 2/21
Let y = -46 + 44. Let x = y - -2. Determine b so that -7*b**3 - 3*b**4 - 27*b**2 + x*b**3 - 11*b**3 = 0.
-3, 0
Let s = -716 + 740. Let q = s + -21. Factor 0*h + 3/2*h**2 + q*h**3 + 0 + 3/2*h**4.
3*h**2*(h + 1)**2/2
Let o(x) be the third derivative of -x**6/40 - 34*x**5/5 + 275*x**4/8 - 69*x**3 + 496*x**2. Factor o(g).
-3*(g - 1)**2*(g + 138)
Let q(m) be the first derivative of m**6/900 - m**5/50 - 9*m**4/20 - 52*m**3 - 167. Let h(l) be the third derivative of q(l). Solve h(x) = 0 for x.
-3, 9
Solve -26*b**3 + 19*b**3 - 7*b**3 + 16*b**2 + 9*b**5 + 48*b - 43*b**3 - 24*b**4 + 8*b**2 = 0.
-4/3, -1, 0, 1, 4
Suppose -4*g = -29*g + 6*g. Let x be -1 + (g + 1)/((-18)/(-54)). Find d, given that 2 - x*d**2 - 15/2*d = 0.
-4, 1/4
Let g(p) be the second derivative of 0*p**2 + 16/7*p**3 + 25 + 3*p + 1/28*p**4. Find v such that g(v) = 0.
-32, 0
Let p(i) = -13*i**3 - 83*i**2 + 3*i - 7. Let r(l) = -4*l**3 - 28*l**2 + l + 1. Let z(g) = 3*p(g) - 10*r(g). Find q, given that z(q) = 0.
-31, -1, 1
Let u(q) = 17*q**3 + 631*q**2 + 19203*q - 19833. Let b(p) = 2*p**3 + p**2 - 2*p + 2. Let o(n) = 6*b(n) - u(n). Factor o(m).
-5*(m - 1)*(m + 63)**2
Suppose -130 - 2165 = -345*v + 8745. Let j(t) be the first derivative of 1/6*t**2 - 1/6*t**5 + v + 3/8*t**4 + 0*t + 1/36*t**6 - 7/18*t**3. Factor j(w).
w*(w - 2)*(w - 1)**3/6
Let v(k) be the first derivative of 3/2*k**2 - 15/16*k**4 - 18*k + 15/2*k**3 + 1/8*k**6 - 9/10*k**5 - 52. Find o such that v(o) = 0.
-2, -1, 1, 2, 6
Let i(w) be the second derivative of w**5/10 + 11*w**4/3 + 89*w**3/3 + 68*w**2 - 1021*w. Factor i(r).
2*(r + 1)*(r + 4)*(r + 17)
Let s(b) be the first derivative of 2*b**3/9 - 316*b**2/3 - 634*b/3 + 3369. Suppose s(q) = 0. What is q?
-1, 317
Let s be (20/(-16))/(4/(-16)). Let x be (-150)/(-825) - s/(-33). Factor -1/3*a**4 + 1/3*a + a**2 - x*a**3 - 2/3.
-(a - 1)**2*(a + 1)*(a + 2)/3
Let j(a) be the third derivative of 0*a**3 + 0 + 1/100*a**5 + 51/40*a**4 + 0*a - 106*a**2. Let j(y) = 0. What is y?
-51, 0
Let g(d) be the first derivative of -64*d**5 + 1820*d**4 - 44045*d**3/3 + 15015*d**2 - 5445*d - 197. Factor g(u).
-5*(u - 11)**2*(8*u - 3)**2
Let 3/5*f + 16/5*f**2 + 0 - 13/5*f**3 - 6/5*f**4 = 0. Calculate f.
-3, -1/6, 0, 1
Let r = -211 - -284. Factor -40*s**3 - 43*s**2 + 3238*s - 48 - r*s**2 - 4*s**4 - 1671*s - 1695*s.
-4*(s + 1)**2*(s + 2)*(s + 6)
Let d be -5 + (-1)/(-2)*9*(-51)/(-27). Let c(f) be the second derivative of 22*f + 0 + f**3 - d*f**2 + 1/12*f**4. Solve c(a) = 0.
-7, 1
Let c(l) be the first derivative of l + 1/4*l**2 - 1/12*l**3 + 45 - 1/32*l**4. Factor c(o).
-(o - 2)*(o + 2)**2/8
Let d(c) be the first derivative of 19/14*c**4 - 8/7*c + 8/7*c**2 + 8/35*c**5 + 65 + 18/7*c**3. Solve d(b) = 0 for b.
-2, -1, 1/4
Let k(t) be the second derivative of -t**4/12 - 5*t**3/6 + 5*t**2 - 2*t. Let c be k(-6). Let c*o**2 - 1 + 2 - 5 = 0. Calculate o.
-1, 1
Let f(o) be the first derivative of 1832*o**3/3 + 474*o**2 + 16*o - 1643. Solve f(u) = 0.
-1/2, -4/229
Suppose 5*f - 3*u + 76 = 140, 3*u - 76 = -5*f. Let w be (10/f)/(4/(-28)) + 10. Factor 3/8*s**w - 3/4*s**3 + 0*s + 0 + 0*s**2 + 3/8*s**4.
3*s**3*(s - 1)*(s + 2)/8
Let m(x) be the third derivative of -2*x**3 - 2*x**2 + 0*x + 1/60*x**5 - 1/24*x**4 + 37. Suppose m(z) = 0. What is z?
-3, 4
Factor 58/5 + 102*p**2 - 18/5*p**3 + 346/5*p.
-2*(p - 29)*(3*p + 1)**2/5
Suppose 60 = 873*h - 861*h. Let a(x) be the third derivative of 1/42*x**4 + 0 + 3/245*x**7 + 0*x + 13/210*x**h + 12*x**2 + 1/21*x**6 + 0*x**3. Factor a(j).
2*j*(j + 1)**2*(9*j + 2)/7
Let k(i) be the second derivative of -8/15*i**3 - 118*i + 1/30*i**4 - 4/5*i**2 + 4/25*i**5 + 0 + 1/25*i**6. Let k(h) = 0. Calculate h.
-2, -1, -2/3, 1
Factor 1439 - 99 + 1284*m + 762 + 4*m**2 + 450.
4*(m + 2)*(m + 319)
Let o(c) be the first derivative of -14 - 1/6*c**6 + c**4 + 0*c + 2/3*c**3 - 3/2*c**2 - 2/5*c**5. Factor o(h).
-h*(h - 1)**2*(h + 1)*(h + 3)
Suppose 34*x - 2 = 33*x. Find v such that 4*v**4 + 15*v**3 + 18*v**x - 53*v**2 + v**4 + 15*v**2 = 0.
-4, 0, 1
Let t(c) be the second derivative of c**5/4 + 3015*c**4/4 + 1818045*c**3/2 + 1096281135*c**2/2 + 1438*c. Factor t(j).
5*(j + 603)**3
Suppose 3124*x - 302*x - 9676 = -2016*x. Find k such that -102/5 - 3/5*k**x - 57/5*k = 0.
-17, -2
Let b(x) = 2*x**3 - 59*x**2 - 31*x + 32. Let c be b(30). Factor 393 - 381 + 4*i + 10*i - c*i**3.
-2*(i - 3)*(i + 1)*(i + 2)
Let w = 49/6 - 8. Let c = 71548/3 + -23849. Factor -c + w*r**3 - 1/2*r + 0*r**2.
(r - 2)*(r + 1)**2/6
Let b(k) be the second derivative of 1575025*k**4/9 - 10040*k**3/9 + 8*k**2/3 - 2*k + 1927. Factor b(y).
4*(1255*y - 2)**2/3
Suppose 179*b + 48 = -168*b + 363*b. Let o(q) be the second derivative of b*q + 0*q**2 - 1/4*q**3 - 1/8*q**4 + 0. Factor o(z).
-3*z*(z + 1)/2
Suppose 5*q - 39 = 4*f, q + 6*f - f - 2 = 0. Suppose 35 = q*u - 4*u + o, -2*u + 18 = -2*o. Factor -8*g**2 - 4*g**2 - u*g**3 + 8*g**3.
-3*g**2*(g + 4)
Find q such that -52*q**2 + 14*q**2 + 4*q**4 - 420 - 175*q**3 + 23*q**2 + 148*q**3 + 459*q - q**4 = 0.
-4, 1, 5, 7
Let o = 97191 + -97188. Determine l so that 0 + 1/2*l**o + l**2 + 0*l = 0.
-2, 0
Factor 326*d + 80 + 77*d + 18*d**2 - 39*d.
2*(d + 20)*(9*d + 2)
Let f(w) be the second derivative of w**4/32 + 2*w**3 + 765*w**2/16 + 2*w -