 p = 2 - -3. Suppose 2*b - b + p*t = -23, -15 = 3*t. Solve -5*h**5 + 8*h**3 - 3*h**4 - b*h**5 + 3*h**5 - h**4 = 0 for h.
-2, 0, 1
Let a(f) be the third derivative of -f**5/105 + f**4/42 + 4*f**3/7 + 2*f**2 - 10. Find c such that a(c) = 0.
-2, 3
Let s = 22292/77 + -3128/11. Factor -s*x**2 + 0 + 3/7*x**3 + 0*x.
3*x**2*(x - 12)/7
Suppose -15/2*q**2 + 0 + 3/4*q**4 - 6*q - 3/4*q**3 = 0. Calculate q.
-2, -1, 0, 4
Suppose -3*r - 5*s + 17 = 0, -5*r + 9 = 2*s - 13. Factor -3/2*o**r - 1/2 - 4*o**2 - 9/4*o - 1/4*o**5 - 7/2*o**3.
-(o + 1)**4*(o + 2)/4
Let s = 400 + -7193/18. Let n(w) be the first derivative of -s*w**3 + 3/8*w**4 + 2 + 1/6*w**2 - 1/6*w**5 + 0*w + 1/36*w**6. Factor n(a).
a*(a - 2)*(a - 1)**3/6
Let l(d) be the third derivative of -d**8/6720 + d**6/720 - 3*d**4/8 - 12*d**2. Let n(u) be the second derivative of l(u). Suppose n(w) = 0. What is w?
-1, 0, 1
Let i be (1/1 - 4)/(-7 + 6). Suppose 2*m**2 + m - m**3 - m**4 - 5*m + m**2 + 3*m**i - 4 = 0. What is m?
-1, 2
Let x(g) be the second derivative of -3*g**5/20 - 3*g**4 - 11*g**3/2 + 4*g + 3. Suppose x(y) = 0. What is y?
-11, -1, 0
Let w be (5/(-10))/((-3)/30). Let b(z) be the third derivative of -1/21*z**4 + 0*z - 2/35*z**5 + 0 - w*z**2 + 1/60*z**6 + 0*z**3. What is a in b(a) = 0?
-2/7, 0, 2
Let f(r) be the second derivative of 0 + 1/4*r**2 - 1/24*r**4 + 0*r**3 + 16*r. Find z such that f(z) = 0.
-1, 1
Suppose 0 = 55*c - 19 - 91. Factor -4/9*h**3 + 0 + 2/9*h**c - 2/9*h**4 + 4/9*h.
-2*h*(h - 1)*(h + 1)*(h + 2)/9
Let o(b) = -3*b**5 + 36*b**3 + 15*b**2 - 75*b. Let n(t) = -3*t**5 - t**4 + 34*t**3 + 14*t**2 - 74*t. Let l(y) = -3*n(y) + 2*o(y). Let l(m) = 0. Calculate m.
-3, -2, 0, 2
Let m(x) = -x**3 - 3*x**2 - 2*x - 4. Let d be (-2)/(-4)*-3*2. Let j be m(d). Suppose -p**4 + 22*p**3 + 2*p**2 - 22*p**3 - p**j = 0. Calculate p.
-1, 0, 1
Find b such that -651*b - 37636 + 21*b - 12*b**2 + 20*b**2 - 12*b**2 - 146*b = 0.
-97
Find s, given that -139968/5 + 3/5*s**3 - 324/5*s**2 + 11664/5*s = 0.
36
Factor -1/9*z**3 + 0 - 2/3*z + 7/9*z**2.
-z*(z - 6)*(z - 1)/9
Let r be (-5)/(-3)*(-108)/(-2). Let x be (-2)/(-9) + 8*5/r. Let -5/3*z**3 + 0 + 0*z - x*z**2 = 0. Calculate z.
-2/5, 0
Let t(y) be the third derivative of -1/35*y**6 - 4/7*y**4 + 0*y + 1/490*y**7 + 0 + 8/7*y**3 - 43*y**2 + 6/35*y**5. Factor t(b).
3*(b - 2)**4/7
Suppose 1/4*t**4 + 50653/4 + 13690*t + 28*t**3 + 2109/2*t**2 = 0. What is t?
-37, -1
Let k(v) be the third derivative of -3*v**2 + 1/6*v**5 - 1/8*v**6 + 0*v + 0 + 0*v**3 + 1/42*v**7 + 0*v**4. Factor k(q).
5*q**2*(q - 2)*(q - 1)
Suppose 0 = -2*b + 4*d + 168 + 74, 2*b + 5*d - 197 = 0. Let o = b - 111. Find p such that 2/5*p - 2/5*p**2 + o = 0.
0, 1
Let p(t) = -t**2 + t + 15. Let v be p(0). Let k = -11 + v. Factor -26*r**3 + 0*r**k + 10*r**4 + 30*r**3.
2*r**3*(5*r + 2)
Let u(n) be the third derivative of -n**6/60 + n**5/15 + n**4/12 - 2*n**3/3 - 101*n**2. Suppose u(d) = 0. What is d?
-1, 1, 2
Determine c so that 4/3*c**4 - 28/3*c - 52/3*c**2 + 0 - 20/3*c**3 = 0.
-1, 0, 7
Let g(i) be the second derivative of -i**4/54 - 2*i**3/27 + 8*i**2/9 + 15*i + 5. Find s such that g(s) = 0.
-4, 2
Let a(b) = -11*b**2 - 25*b + 15. Let w(t) = 6*t**2 + 14*t - 8. Let g(c) = -4*a(c) - 7*w(c). Factor g(m).
2*(m - 1)*(m + 2)
Let v(i) be the second derivative of -i**8/1680 + i**7/350 - i**6/200 + i**5/300 - 9*i**3/2 - 20*i. Let u(t) be the second derivative of v(t). Factor u(m).
-m*(m - 1)**2*(5*m - 2)/5
Let v(k) be the first derivative of -54*k**5/5 + 153*k**4/4 - 5*k**3 - 69*k**2/2 - 15*k + 67. Determine y, given that v(y) = 0.
-1/3, 1, 5/2
Suppose 8*x + 63 - 15 = 0. Let j be 15/40*(-8)/x. Factor -3*f + j*f**2 + 9/2.
(f - 3)**2/2
Let q(h) be the first derivative of 5*h**6/4 + 12*h**5/5 - 57*h**4/8 + 3*h**3 - 67. Suppose q(p) = 0. Calculate p.
-3, 0, 2/5, 1
Let y = -2227 + 2229. Factor -f**y - 1/2 + 5/4*f + 1/4*f**3.
(f - 2)*(f - 1)**2/4
Factor 0 + 0*r + 0*r**3 - 8/7*r**2 + 2/7*r**5 + 6/7*r**4.
2*r**2*(r - 1)*(r + 2)**2/7
Let c be ((-10)/(-45))/((-18)/(-27)). Let w(s) be the first derivative of 11/10*s**2 - c*s**3 - 3/5*s - 3/20*s**4 - 1. Factor w(u).
-(u - 1)*(u + 3)*(3*u - 1)/5
Let v be (-6)/4*(-30)/9. Let u be (-2)/6 - (-104)/24. Factor -6664*h**u - 2030*h**2 + 314*h**v - 128 - 4050*h**2 + 1472*h + 10528*h**3 + 1058*h**5.
4*(h - 2)**2*(7*h - 2)**3
Suppose 8 = u - 2*u + 2*g, 2*g - 16 = 3*u. Let o = -2 - u. Factor w**2 - o*w**2 + 6*w**3 + 1 - 5*w**3 + 0*w**3 - w.
(w - 1)**2*(w + 1)
Let g be 2*(1 + (-5)/(-60)). Let s = g - 1. Let 1/3*n**2 + 5/6*n**4 + 0 + 0*n + s*n**3 = 0. What is n?
-1, -2/5, 0
Let s(y) be the second derivative of 1/3*y**4 - 2/15*y**6 - 10*y + 1/21*y**7 + 0 + 0*y**5 + 0*y**2 - 1/3*y**3. Factor s(h).
2*h*(h - 1)**3*(h + 1)
Let g(z) be the first derivative of 1/3*z**3 + 1/2*z**2 - 22 + 1/3*z + 1/12*z**4. Find v such that g(v) = 0.
-1
Let g(j) = -2*j**4 - 18*j**3 - 48*j**2 - 28*j + 4. Let s(f) = 2*f**4 + 17*f**3 + 49*f**2 + 28*f - 6. Let p(l) = -3*g(l) - 2*s(l). Let p(i) = 0. What is i?
-7, -2, -1, 0
Let l(r) = 14*r - 180. Let q be l(13). Let v(i) = i**2 + 6*i + 5. Let f be v(-5). Factor 0*a - 2/11*a**3 + f + 0*a**q - 4/11*a**4 - 2/11*a**5.
-2*a**3*(a + 1)**2/11
Let k(i) = -i**2 - 2*i + 24. Let m be k(-6). Let -2/3*x + 14/3*x**4 + 13/3*x**2 - 25/3*x**3 + m = 0. Calculate x.
0, 2/7, 1/2, 1
Find x such that -1/2*x**2 + 1/2*x**4 + 17/2*x + 6 - 5/2*x**3 = 0.
-1, 3, 4
Let 130*i**4 - 2*i**3 + 2*i**5 - 7*i**5 - 5*i**2 - 10*i + 17*i**3 - 125*i**4 = 0. Calculate i.
-1, 0, 1, 2
Let v(b) be the second derivative of 0*b**3 + 1/24*b**4 - 1/120*b**6 + 0 + 16*b + 0*b**2 - 1/80*b**5. Determine c so that v(c) = 0.
-2, 0, 1
Let p(c) = -33*c - 94. Let q be p(-3). Let n(y) be the first derivative of -15/2*y**2 + 5*y - 5/4*y**4 - 1 + q*y**3. What is z in n(z) = 0?
1
Let f(w) be the third derivative of -w**8/2520 + w**7/1260 - w**3/3 + 2*w**2. Let d(l) be the first derivative of f(l). Find u, given that d(u) = 0.
0, 1
Let n(u) = -6*u + 50. Let t be n(6). Suppose -b - t*b + 10 + 6*b**2 + 3*b**2 - 4*b**2 = 0. Calculate b.
1, 2
Let w(s) = -s**3 + 3*s**2 + 9*s - 9. Let l be w(4). Factor -2*c**3 + l*c**2 - 12 - 11*c**2 - 2*c**2 + 22*c - 6*c**2.
-2*(c - 1)**2*(c + 6)
Let k(b) be the third derivative of 0*b**5 + 0*b**4 + 1/784*b**8 + 0 + 0*b**3 - 1/490*b**7 + 0*b - 1/140*b**6 - 10*b**2. Find g such that k(g) = 0.
-1, 0, 2
Let r(k) be the second derivative of k**5/60 - k**4/12 + k**3/6 - 11*k**2 + 16*k. Let l(a) be the first derivative of r(a). Factor l(u).
(u - 1)**2
Let m(u) = u**2 - 14*u + 10. Let f be m(19). Let n be 254/f - 4/30. Let -n - 228/7*w**2 - 190/7*w**3 - 104/7*w - 50/7*w**4 = 0. What is w?
-2, -1, -2/5
Let i be (-15*5/(-150))/2. Factor 1/4*r**2 + 0 + i*r.
r*(r + 1)/4
Let u = 60 - 60. Let q(b) be the first derivative of -8/75*b**5 - 4 + 1/15*b**2 + u*b + 1/15*b**4 - 1/15*b**6 + 8/45*b**3. Let q(k) = 0. What is k?
-1, -1/3, 0, 1
Factor 3 + 85 + 12*r**2 - 16*r**2 - 36*r.
-4*(r - 2)*(r + 11)
Suppose -4*k = 4*x + 27 - 31, 0 = -2*k + 5*x + 9. Factor -10*t**k + 4*t**3 + 17/4*t - 1/2.
(t - 2)*(4*t - 1)**2/4
Let l(s) be the third derivative of 27*s**2 + 0*s + 1/6*s**4 + 1/30*s**5 + 0 + 0*s**3 - 1/60*s**6. Suppose l(o) = 0. Calculate o.
-1, 0, 2
Factor 3*m**5 + 8 + 0*m**5 - 2*m**5 - m - 11*m**3 + 29*m**2 - 25*m - m**4.
(m - 2)*(m - 1)**3*(m + 4)
Factor -20/3*c**2 + 104/9*c + 14/9*c**3 - 64/9 - 1/9*c**4.
-(c - 8)*(c - 2)**3/9
Factor 0 - 1/5*v**2 - 8/5*v.
-v*(v + 8)/5
Let m(o) be the first derivative of -o**3/18 + 73*o**2/12 - 12*o + 425. Find d such that m(d) = 0.
1, 72
Find m such that 14*m**2 + 92 + 16*m + 3*m**3 - 5*m**3 - 92 = 0.
-1, 0, 8
Let q be -5*(-3 - 2*119/(-84)). Factor -1/2 + q*z - 1/6*z**3 - 1/6*z**2.
-(z - 1)**2*(z + 3)/6
Let d be (-84)/(-49)*84/9. Let s(b) be the second derivative of -6*b + 0 - d*b**2 + 8/3*b**3 - 1/6*b**4. Solve s(p) = 0 for p.
4
Let x = 21794 + -21791. Factor -3/4*l**4 + 9/4*l**x + 3/4*l + 0 - 9/4*l**2.
-3*l*(l - 1)**3/4
Let k be (32/36)/((-38)/(-12) + (-35)/14). Factor -8/3*j + k + 5/3*j**2 - 1/3*j**3.
-(j - 2)**2*(j - 1)/3
Let l = 141 - 92. Let y = l + -46. Suppose -c**y - 1/3*c**5 + 0*c + 1/3*c**2 + c**4 + 0 = 0. Calculate c.
0, 1
Let q(f) = -8*f + 21. Let g(l) = l. Let k(s) = -6*g(s) - q(s). Let o be k(13). What is x in -5*x**o - 15*x**4 - 19*x**2 + 2 - 15*x**3 - 2 + 14*x**2 = 0?
-1, 0
Let 