= -5*f**2 - 37*f + 366. Let y be v(-13). What is t in t + 1/2*t**2 - y - 1/4*t**3 = 0?
-2, 2
Determine g so that -1/4*g**2 - g + 5/4 = 0.
-5, 1
Suppose 0 = 5*x - 2*s - 12, 18 = 3*x - s + 11. Factor 4 + 1/2*n**3 - x*n - n**2.
(n - 2)**2*(n + 2)/2
Let l = -1332 - -4000/3. Factor l*u + 0 + 5/3*u**4 + 4/3*u**2 - 13/3*u**3.
u*(u - 2)*(u - 1)*(5*u + 2)/3
Suppose -4*u - 5*a + 20 = u, -4*a = -3*u - 9. Let d(c) = -1. Let g(y) = -4*y**2 - 24*y - 14. Let s(v) = u*g(v) + 6*d(v). Let s(j) = 0. Calculate j.
-5, -1
Let m(j) be the first derivative of -5*j**6/3 - 37*j**5/2 - 45*j**4/8 - 148. Find i such that m(i) = 0.
-9, -1/4, 0
Let a(q) be the first derivative of -4*q**5/5 + 28*q**3/3 + 12*q**2 - 92. Find x such that a(x) = 0.
-2, -1, 0, 3
Let c = 4407 - 30829/7. Determine r so that 4*r**3 - 16/7*r - 32/7*r**2 + 0 + c*r**4 = 0.
-2, -2/5, 0, 1
Let p = -148 + 157. Factor -6*t**3 + 3*t**5 + 25*t**3 - 7*t**3 - 18*t**2 + 18*t**4 - p*t - 6*t.
3*t*(t - 1)*(t + 1)**2*(t + 5)
Suppose 64*m**2 + 74*m**3 - 21*m - 588 - 34*m**2 - 71*m**3 = 0. What is m?
-7, 4
Let g(c) be the second derivative of 13*c**4/4 + 41*c**3/6 + c**2 + 25*c. Factor g(w).
(w + 1)*(39*w + 2)
Suppose 0 = -0*o - 5*o - c + 92, -o = 2*c - 22. Let m be o*(-6)/(-16)*73/219. Factor 0*a - 9/4*a**4 - 3/4*a**5 + 0 - 3/4*a**2 - m*a**3.
-3*a**2*(a + 1)**3/4
Let d(z) be the first derivative of -z**4/12 + z**3 + 8*z**2 + 52*z/3 + 79. Factor d(v).
-(v - 13)*(v + 2)**2/3
Suppose -4*u = 12, -3*u + 4*u = -m + 97. Factor 2*r**3 + 46*r**5 - m*r**5 - 3*r**4 + 55*r**5.
r**3*(r - 2)*(r - 1)
Let w = -30 + 4. Let y = -23 - w. Suppose -1/2*b**y + 1/2*b**4 + 1/2*b**5 - 1/2*b**2 + 0*b + 0 = 0. What is b?
-1, 0, 1
Let a(b) be the second derivative of -b**4/3 - 32*b**3 - 1152*b**2 - 73*b. Factor a(t).
-4*(t + 24)**2
Let w be ((-1)/(-5)*1)/((-14)/(-35)). Let -5*r + w*r**2 + 25/2 = 0. Calculate r.
5
Let a(d) be the third derivative of -d**7/20 - 11*d**6/40 - 2*d**5/5 + 22*d**2. Find n such that a(n) = 0.
-2, -8/7, 0
Let j be -4*(-42)/48*20/7. Factor -j*c**3 - 7*c**3 + 6*c + 14*c**2 + 20*c**3 - 5*c**2.
3*c*(c + 1)*(c + 2)
Solve 0 - 2/9*p**3 + 0*p + 40/9*p**2 = 0 for p.
0, 20
Let s(z) = 3*z**2 - 35*z + 72. Let v(a) = 6*a**2 - 71*a + 144. Let b(x) = -5*s(x) + 2*v(x). Factor b(l).
-3*(l - 8)*(l - 3)
Let f(q) be the third derivative of -q**7/210 + 3*q**6/80 - q**5/20 + q**4/3 - 15*q**2. Let z(j) be the second derivative of f(j). Find g, given that z(g) = 0.
1/4, 2
Let w = -1590 - -6361/4. Factor -w*s**2 - 1/4*s**3 + 1/2*s + 0.
-s*(s - 1)*(s + 2)/4
Let q(s) be the third derivative of s**6/420 - 17*s**5/210 - 89*s**2. Let q(a) = 0. Calculate a.
0, 17
Find k such that 0 + 5/2*k**5 + 140*k**4 + 4205/2*k - 4060*k**2 + 1815*k**3 = 0.
-29, 0, 1
Let w = 612 - 612. Solve 0*a**3 + 0*a + w + 1/4*a**5 + 0*a**2 + 1/4*a**4 = 0 for a.
-1, 0
Let t be ((-36)/(-24))/((-4)/(-8)). Let t*n**3 + 7/3*n**4 + 2 - 11*n**2 + 11/3*n = 0. What is n?
-3, -2/7, 1
Let z = -1349 - -25633/19. Factor z*w**3 + 0*w + 6/19*w**2 + 0.
2*w**2*(w + 3)/19
Factor -222/11*q**2 - 70/11*q**3 - 76/11 - 226/11*q + 2/11*q**4.
2*(q - 38)*(q + 1)**3/11
Let p(h) = -4*h**4 - 23*h**3 - 43*h**2 - 28*h + 1. Let k(s) = s**2 + 1. Let v(m) = 3*k(m) - 3*p(m). Solve v(u) = 0 for u.
-2, -7/4, 0
Let h(j) = 11*j**2 + 2*j - 3. Let f be h(1). Suppose f*q + 2*q = -q. Factor 0 - 2/5*i**3 + 2/5*i + q*i**2.
-2*i*(i - 1)*(i + 1)/5
Let b(s) be the first derivative of s**5/20 - 5*s**4/8 + 13*s**3/12 + 15*s**2/2 + 9*s - 145. Factor b(a).
(a - 6)**2*(a + 1)**2/4
Let z = -22 - -120. Find k, given that 18*k**2 + 55*k**3 - 20*k**4 + k**5 + 11*k**3 + 32*k + k**5 - z*k**2 = 0.
0, 1, 4
Let y(z) = 3*z**2 - 17*z - 2. Let g be (-72)/(-56) + 5 + 4/(-14). Let h be y(g). Suppose -4/3*s - 2/3 + 2/3*s**h + 4/3*s**3 + 0*s**2 = 0. What is s?
-1, 1
Suppose 6*j + 63 = -69. Let t be j/(-77) + 24/14. Suppose 5*v**t + 3*v - 2*v**2 + 0*v + 0*v = 0. Calculate v.
-1, 0
Let b be ((-3)/(-18)*6)/(1/47). Determine g so that -117*g**2 + 29 - 162*g - b*g**3 + 20*g**3 + 42*g - 65 = 0.
-3, -2/3
Let m(t) = 4*t**2 - 4*t - 4. Let b be m(6). Solve 117*u**5 + 3*u**4 - b*u**5 + 4*u + 2*u**3 - 4*u = 0 for u.
-2, -1, 0
Suppose 25*x + 53 = 128. Let p(n) be the third derivative of 1/20*n**5 - 4*n**2 + 1/8*n**4 + 0*n**x + 0 + 0*n. Factor p(f).
3*f*(f + 1)
Let i(m) = -2*m**5 + 6*m**4 - 18*m**3 + 10*m**2 - 13*m + 17. Let d(g) = 2*g**3 - 2*g**2 + g - 1. Let u(l) = 22*d(l) + 2*i(l). Let u(q) = 0. Calculate q.
-1, 1, 3
Let s(w) = -44*w**4 + 120*w**3 - 28*w**2 - 4*w + 4. Let d(h) = 86*h**4 - 240*h**3 + 55*h**2 + 9*h - 9. Let i(l) = 4*d(l) + 9*s(l). Factor i(o).
-4*o**2*(o - 2)*(13*o - 4)
Let f(q) be the second derivative of q**4/22 - 23*q**3/11 + 126*q**2/11 - 4*q - 6. Determine w, given that f(w) = 0.
2, 21
Let k(s) be the first derivative of 0*s + 0*s**2 + 1/12*s**4 + 0*s**3 - 1/15*s**5 - 8. Find w, given that k(w) = 0.
0, 1
Let d(z) be the third derivative of 1/60*z**4 - 1/300*z**6 + 0*z**5 + 0 + z**2 + 0*z**3 + 0*z. Factor d(w).
-2*w*(w - 1)*(w + 1)/5
Suppose 11*f**2 + 1980*f**3 - 11 - f - 3957*f**3 + 1978*f**3 = 0. What is f?
-11, -1, 1
Let -13*d**4 - 47/5*d**2 - 9/5*d**5 + 139/5*d**3 + 0 - 18/5*d = 0. Calculate d.
-9, -2/9, 0, 1
Let a(c) be the first derivative of 3*c**5/20 - 3*c**4 + 77*c**3/4 - 147*c**2/4 + 70. Factor a(y).
3*y*(y - 7)**2*(y - 2)/4
Let u be (3*(-2)/100)/(56/(-35)). Let p(i) be the second derivative of 0*i**2 - 1/24*i**3 - 2*i - u*i**5 + 0 - 1/120*i**6 - 1/16*i**4. Factor p(m).
-m*(m + 1)**3/4
Let c(s) = -5*s - 65. Let f be (30 - 29) + 1*(0 - 14). Let a be c(f). Let 2/13*r**3 - 8/13 + 6/13*r**2 + a*r = 0. What is r?
-2, 1
Suppose 3*y + 16 = 5*y. Let r = 11 - y. Let -2 - 2*x - 7*x - r*x**2 - 4 = 0. Calculate x.
-2, -1
Suppose 0 = -4*j - j + 55. Factor 19*a + 8*a**2 + j*a - 5*a**3 + 7*a**2 - 10*a.
-5*a*(a - 4)*(a + 1)
Let w(i) be the first derivative of -i**4/6 + i**3 + 4*i**2 + 16*i - 20. Let s(k) be the first derivative of w(k). Factor s(t).
-2*(t - 4)*(t + 1)
Let w(c) be the third derivative of c**7/42 + 3*c**6/8 - c**5/4 - 145*c**4/24 - 15*c**3 - 140*c**2. Let w(p) = 0. What is p?
-9, -1, 2
Suppose k + 61 = 4*j - 9*j, -k = -4. Let y = 37 + j. Let 4*b**4 + 10*b**4 + y*b**3 + 6*b**2 - 6*b + 2*b = 0. Calculate b.
-1, 0, 2/7
Let w = 9857 + -9852. Factor 0*b**4 + 0*b**2 - 1/9*b - 1/9*b**w + 2/9*b**3 + 0.
-b*(b - 1)**2*(b + 1)**2/9
Let x(l) be the first derivative of -2/7*l**2 - 4 - 1/2*l**4 + 0*l - 6/7*l**3. Suppose x(j) = 0. Calculate j.
-1, -2/7, 0
Suppose 0 = 5*n + n - 26*n. Let v(u) be the third derivative of -1/150*u**5 + 0*u**3 + 0 - 1/600*u**6 + 0*u**4 + 2*u**2 + n*u. Factor v(g).
-g**2*(g + 2)/5
Suppose 0*w - 6 = 3*w. Let q(r) = -3*r - 2. Let b be q(w). Solve -b*u - u**3 + u**4 - u**2 + u**5 + 4*u = 0.
-1, 0, 1
