*5/300 - 13*l**4/20 - 4*l**3/3 - 464*l**2. Determine d so that v(d) = 0.
-5, -4, -1, 2
Find h, given that 72 + 506/9*h**2 - 136*h + 2/9*h**4 + 68/9*h**3 = 0.
-18, 1
Let c(q) = -q**2 + 1. Let d be c(-1). Let m be (-4)/34 - 1155/(-1870). Factor m*v + d + 1/2*v**2.
v*(v + 1)/2
Suppose -4*m - 2*l + 631 = 643, m = -l - 6. Find f, given that m + f**2 - 1/2*f - 1/2*f**3 = 0.
0, 1
Let r(h) be the third derivative of -h**5/90 - h**4/4 - 80*h**2 - 5*h. What is n in r(n) = 0?
-9, 0
Suppose 38*f + 0*f = 7*f. Suppose 0 + 2/5*b**3 + 2/5*b**4 + 0*b + f*b**2 = 0. What is b?
-1, 0
Let a = -25456 + 50913/2. Let -a*m + 0 - 1/2*m**2 = 0. What is m?
-1, 0
Suppose -134*t + 268 = -0*t. Find y such that -1/5*y**3 + 0*y + 0 + 2/5*y**t = 0.
0, 2
Let p = 6376 - 25501/4. Find n such that 15/4*n**3 + p*n - 9/2*n**5 + 21/4*n**2 + 0 - 21/4*n**4 = 0.
-1, -1/6, 0, 1
Let t(d) be the second derivative of d**5/4 + 5*d**4 + 175*d**3/6 - 271*d. Find b, given that t(b) = 0.
-7, -5, 0
Solve 24/5*z**2 + 6/5*z**4 + 0 + 21/5*z**3 + 9/5*z = 0.
-3/2, -1, 0
Suppose -53 - 31 = -12*x. Let k be (2/x)/(48/56). What is b in -1/3*b**2 + k*b + 2/3 = 0?
-1, 2
Suppose 0*x**2 + 9/5*x - 3/5*x**3 - 6/5 = 0. What is x?
-2, 1
Let g(f) be the second derivative of f**7/21 + 2*f**6/15 - 7*f**5/10 + 2*f**4/3 - 2*f - 10. Factor g(u).
2*u**2*(u - 1)**2*(u + 4)
Suppose -c + 1420 = 1416. Let k(f) be the second derivative of -3/5*f**5 - 3/10*f**6 - 6*f**2 + 7/4*f**c + 0 - 9*f + 2*f**3. Solve k(w) = 0 for w.
-2, -1, 2/3, 1
Factor -156/5*t + 1014/5 + 6/5*t**2.
6*(t - 13)**2/5
Let i(l) be the first derivative of -l**6/15 - 2*l**5/25 + l**4/10 + 2*l**3/15 + 23. Find a such that i(a) = 0.
-1, 0, 1
Suppose 5*y = -c - 25, 0 = y + 5. Factor 0 - 2/5*r**2 - 24/5*r**4 - 12/5*r**3 - 16/5*r**5 + c*r.
-2*r**2*(2*r + 1)**3/5
Let r(p) be the first derivative of -1 + 5*p - 1/66*p**4 + 0*p**3 + 0*p**2. Let m(k) be the first derivative of r(k). Factor m(u).
-2*u**2/11
Let a(r) be the third derivative of -r**5/300 - r**4/40 - r**3/15 + 91*r**2. Suppose a(u) = 0. Calculate u.
-2, -1
Let i be (-2)/(-7) - (-499)/(-7). Let n = i + 357/5. What is b in 2/5*b + 0 + n*b**3 - 4/5*b**2 = 0?
0, 1
Let g be 1290/1032*(15 + -1 + 0). Suppose -5/2*r**4 + 35/2*r**3 + 5/2*r**2 + 0 - g*r = 0. Calculate r.
-1, 0, 1, 7
Suppose 0*x + 3/2*x**2 + 2/3*x**5 - 23/6*x**4 + 0 + 5*x**3 = 0. What is x?
-1/4, 0, 3
Let t(y) be the third derivative of 0*y + 0*y**4 - 1/900*y**6 + 1/2520*y**8 + 1/450*y**5 + 0*y**3 + 0 - 1/1575*y**7 + 10*y**2. Suppose t(c) = 0. Calculate c.
-1, 0, 1
Let p(s) be the first derivative of 14 - 4/5*s**5 + 16/3*s**3 + 8*s**2 - s**4 + 0*s. Factor p(u).
-4*u*(u - 2)*(u + 1)*(u + 2)
Let f(u) be the third derivative of -u**6/660 - u**5/33 - 17*u**4/132 - 8*u**3/33 - 246*u**2. Determine j so that f(j) = 0.
-8, -1
Let y = 97516/165 - 591. Let b(n) be the third derivative of -1/660*n**6 + 5*n**2 + 0*n**3 - 1/1155*n**7 + 0 + 0*n + y*n**5 + 0*n**4. Let b(q) = 0. What is q?
-2, 0, 1
Let f(v) be the second derivative of 0 + 1/10*v**5 - 13/6*v**4 - 36*v**2 + 9*v + 16*v**3. Let f(y) = 0. What is y?
1, 6
Suppose 19 + 1 = 4*d + 2*w, -5*d = 2*w - 23. Let c(y) be the second derivative of 5/12*y**4 - 5*y**2 + 5/6*y**3 + 0 + d*y. Find r such that c(r) = 0.
-2, 1
Let m(d) be the third derivative of -d**7/840 - d**6/96 + 9*d**5/40 - 31*d**4/24 + 11*d**3/3 + 293*d**2. Find u, given that m(u) = 0.
-11, 2
Let -5877*z - 8 - 18*z**3 + 6*z**2 + 6*z**4 - 2*z**3 + 5901*z = 0. What is z?
-1, 1/3, 2
Let n(t) be the first derivative of -2*t**5/5 - 7*t**4/2 + 10*t**3/3 + 111*t**2 + 360*t + 797. Factor n(w).
-2*(w - 4)*(w + 3)**2*(w + 5)
Let w(j) be the third derivative of 0*j**7 + 0*j**5 + 1/40*j**6 - 8*j**2 + 0 - 1/224*j**8 - 1/16*j**4 + 0*j + 0*j**3. Factor w(c).
-3*c*(c - 1)**2*(c + 1)**2/2
Let f = 5934/5 + -1186. Let j(a) be the first derivative of f*a**5 + 0*a + 0*a**3 + 8*a**2 - 11 - 3*a**4. What is q in j(q) = 0?
-1, 0, 2
Let p(i) be the first derivative of -2*i**5/5 + 5*i**4/2 + 16*i**3/3 - 48*i**2 + 155. Factor p(r).
-2*r*(r - 4)**2*(r + 3)
Suppose 0*h - 2*h - 5*f + 3 = 0, 3*f = 2*h - 11. Factor 4 + 4*r**5 + 4*r + 3*r**4 - 15*r**3 + r**h - 8*r**2 + 7*r**3.
4*(r - 1)**2*(r + 1)**3
Let h be 4/(-6) - (-1587)/2070. Let f(d) be the first derivative of -h*d**4 + 0*d + 8/25*d**5 + 1 + 1/5*d**2 - 8/15*d**3. Solve f(a) = 0 for a.
-1, 0, 1/4, 1
Let c = -19 + 24. Suppose 2*h - 2*s - 28 = 0, 8*s - 4*s + 65 = c*h. Let 5 + 21*q + 1 + 0*q**3 + 6*q**2 - h*q**3 = 0. What is q?
-1, -1/3, 2
Determine c, given that -3/4*c**2 + 25/4*c - 21/4 - 1/4*c**3 = 0.
-7, 1, 3
Let p(c) = -c**2 - 2*c + 4. Let w be p(0). Factor 25*f**2 - 4*f**3 + 2*f**5 - f**w - 3*f**5 - 16*f + 8*f**4 - 15*f**3 + 4.
-(f - 2)**2*(f - 1)**3
Let b(k) = -k**3 + 10*k**2 + 16*k - 8. Let o be b(11). Let q = o - 44. Let 0 - 2/5*j**q + 0*j - 2/5*j**2 = 0. Calculate j.
-1, 0
Let h = 20 + -11. Let c be (3 - 9)/(h/(-2)). Suppose 8/3 - c*o - 4/3*o**2 = 0. Calculate o.
-2, 1
Let m(l) = 2*l**2 - 91*l + 804. Let j be m(12). Factor 0 + 3/2*t**2 + 3/2*t**4 + j*t + 3*t**3.
3*t**2*(t + 1)**2/2
Factor 8 - 4/3*j**3 - 44/3*j + 8*j**2.
-4*(j - 3)*(j - 2)*(j - 1)/3
Let 3/2*z**3 + 1/2*z**4 + 3/2*z**2 + 0 + 1/2*z = 0. What is z?
-1, 0
Suppose 5 = -5*c - 5*n, 0 = -3*c - 18*n + 14*n - 4. Solve 2/11*m**2 + c*m - 2/11 = 0.
-1, 1
Let l(n) = n**2. Let a(m) = -m**2 - 11*m - 19. Let f be a(-9). Let y(p) = -10*p**2 - 2*p. Let j(b) = f*y(b) - 3*l(b). What is x in j(x) = 0?
-2/7, 0
Let w(r) be the second derivative of 0*r**3 + 0*r**2 + 25*r - 1/55*r**6 + 0*r**4 + 0 + 1/231*r**7 + 0*r**5. Factor w(n).
2*n**4*(n - 3)/11
Let h(x) be the first derivative of -x**3/12 - x**2/4 + 2*x + 99. Determine w, given that h(w) = 0.
-4, 2
Let r(i) be the third derivative of -9*i**2 - 2/105*i**7 - 1/2*i**4 + 1/10*i**6 + 0 + 0*i - 1/15*i**5 + 4/3*i**3. Determine p, given that r(p) = 0.
-1, 1, 2
Factor -58*a**2 + 660*a + 21*a**2 - 657 + 22*a**2 + 12*a**2.
-3*(a - 219)*(a - 1)
Let c(p) be the first derivative of -29 + 4/9*p**3 + 2/9*p + 2/9*p**4 + 2/45*p**5 + 4/9*p**2. Suppose c(k) = 0. What is k?
-1
Suppose -4 - 6 = -5*v - q, 3*v - 2*q = 6. Suppose -v*t + x - 4*x = -6, 3*t - 3*x = 9. Factor 0*w**t - 5*w + 4*w**2 + 3*w - 2*w**3 - 4 + 4*w**3.
2*(w - 1)*(w + 1)*(w + 2)
Let z be 162/(-360)*(-10)/12. Let b(l) be the third derivative of -5*l**2 + 0 + 1/20*l**5 - z*l**4 + l**3 + 0*l. Factor b(x).
3*(x - 2)*(x - 1)
Let j(z) = 2*z**3 - 70*z**2 + 158*z - 115. Let y(s) = s**3 - 47*s**2 + 106*s - 77. Let b(i) = 5*j(i) - 7*y(i). Determine x so that b(x) = 0.
2, 3
Let b(y) be the third derivative of y**7/105 + 4*y**6/15 + 23*y**5/30 - 85*y**4/3 + 100*y**3 + 118*y**2. Factor b(s).
2*(s - 3)*(s - 1)*(s + 10)**2
Let 22/5 - 9/5*s - 63/5*s**3 - 89/5*s**2 - s**4 = 0. Calculate s.
-11, -1, 2/5
Factor -40*o - 17/2*o**2 - 32 - 1/2*o**3.
-(o + 1)*(o + 8)**2/2
Let s(o) be the third derivative of o**8/336 - o**7/210 - o**6/10 + 4*o**5/15 + 4*o**4/3 - 8*o**3 - 3*o**2 + 15. Find g, given that s(g) = 0.
-3, -2, 2
Find m such that -87*m + 8*m**2 + 26*m - 60 - 12*m**2 + 3*m**2 = 0.
-60, -1
Let k be 0/(-7) + 1/(30/(-107)). Let r = -17/5 - k. Factor r*m**4 + 1/6*m**3 - 5/6*m - 1/2*m**2 - 1/3.
(m - 2)*(m + 1)**3/6
Suppose -5 = -2*j - 1. Let v = -1158 - -1161. Let 9/5*a**j + 3/5*a**v + 6/5*a + 0 = 0. Calculate a.
-2, -1, 0
Let h(l) be the second derivative of -1/45*l**6 + 14*l + 40/9*l**3 - 1 + 13/18*l**4 - 2/15*l**5 - 16*l**2. Determine z so that h(z) = 0.
-4, 1, 3
Let d(x) be the second derivative of -x**5/20 - x**4/3 - 5*x**3/6 - x**2 - 13*x - 6. Factor d(k).
-(k + 1)**2*(k + 2)
Let l be 19*(-12)/(-90) + (-10)/75. Determine h so that l*h**2 + 6/5 + 3*h + 3/5*h**3 = 0.
-2, -1
Let g(o) = -o**5 + 2*o**3 + 9*o**2 - o + 9. Suppose z + 14 = -22. Let f(u) = -u**2 - 1. Let w(a) = z*f(a) - 4*g(a). Determine x so that w(x) = 0.
-1, 0, 1
Suppose 2/3*k**3 + 12*k + 0 - 6*k**2 = 0. What is k?
0, 3, 6
Factor 0 + 7/8*r**3 - 3/2*r - 1/2*r**2 - 1/8*r**4.
-r*(r - 6)*(r - 2)*(r + 1)/8
Suppose 115*m + 21*m**2 - 117*m - 30*m**2 = 0. What is m?
-2/9, 0
Let b(n) be the third derivative of 0*n**5 + 0*n + 0*n**3 + 1/40*n**6 + 0*n**7 - 18*n**2 + 0*n**4 + 0 - 1/112*n**8. Factor b(a).
-3*a**3*(a - 1)*(a + 1)
Suppose -5*i = -5*g + 10, 3*i - 5*g + 12 = -2. Suppose 20*f**i - 1 - f**3 + 13 - 21*f**2 + 8*f = 0. What is f?
-2, 3
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