+ 56/15*d**3 - 11 + 88/5*d**2 + 32/5*d. Find b, given that f(b) = 0.
-2, -2/7, 1
Suppose 376*h**2 + h**3 - 188*h**2 - 6*h - 182*h**2 - 10*h = 0. Calculate h.
-8, 0, 2
Let a(h) be the second derivative of 4/5*h**5 - 14/3*h**3 - 6*h + 0 + 4*h**2 + 4/3*h**4. Factor a(d).
4*(d + 2)*(2*d - 1)**2
Factor -4/9*w**4 + 40/9*w**2 + 4/9*w**3 + 0 + 32/9*w.
-4*w*(w - 4)*(w + 1)*(w + 2)/9
Let -15/4*f**2 + 9/4*f + 3/2*f**3 + 0 = 0. Calculate f.
0, 1, 3/2
Factor 8712 + 5358*f**2 + 28*f**4 - 1164*f**3 - 10*f**4 + 25608*f + 12668*f**2.
2*(f - 33)**2*(3*f + 2)**2
Let u(t) = t**3 - 12*t**2 + 11*t + 5. Let v be u(11). Suppose 30 = v*q + 5*q. Factor 3/2 + 87*i**2 - 75/2*i**5 - 159*i**q + 255/2*i**4 - 39/2*i.
-3*(i - 1)**3*(5*i - 1)**2/2
Let v(j) = -j**3 - j - 1. Let c(b) = -8*b**3 + 18*b**2 - 2*b - 23. Let r(x) = c(x) - 5*v(x). Let r(h) = 0. What is h?
-1, 1, 6
Let k be -20 + (-8)/28*-77. Solve 7/10*d**k + 1/2*d**4 + 0 - 1/5*d + 7/5*d**3 = 0 for d.
-2, -1, 0, 1/5
Let i(x) be the second derivative of x**4/8 - 109*x**3/4 - 165*x**2/2 - 13*x - 9. Factor i(w).
3*(w - 110)*(w + 1)/2
Let b(o) = 3*o**4 - 11*o**2 + 6*o + 2. Let j(f) = 12*f**4 - 45*f**2 + 24*f + 9. Let s be (-3)/(-6) + (-34)/(-4). Let r(h) = s*b(h) - 2*j(h). Factor r(u).
3*u*(u - 1)**2*(u + 2)
Let o(w) be the second derivative of -3*w**5/20 - 3*w**4/4 + 58*w. Solve o(r) = 0.
-3, 0
Factor -1166400*c - 26244000 - 2/5*c**4 - 19440*c**2 - 144*c**3.
-2*(c + 90)**4/5
Suppose 7 - 2 = -5*u. Let c be (u*(-1)/(-7))/(-1). What is x in 4/7 + c*x**2 - 4/7*x = 0?
2
Let r(x) = -x**2 - 3*x - 8. Let u be r(0). Let c be ((2 - 4) + 2)/(u/4). Find g such that 0 + c*g**3 - 2/5*g**2 + 0*g + 2/5*g**4 = 0.
-1, 0, 1
Let c(g) be the second derivative of 0*g**3 + 57/5*g**5 - 16*g**4 - 33/10*g**6 + 11*g + 5/14*g**7 + 0 + 24*g**2. What is v in c(v) = 0?
-2/5, 1, 2
Let a = -60 - -51. Let p be -15*a/81 - (-8)/6. Factor 0 + 0*y + p*y**3 - 3/2*y**2 - 3/2*y**4.
-3*y**2*(y - 1)**2/2
Let f(g) be the third derivative of 0 + 1/36*g**4 + 0*g**5 + 0*g**3 + 0*g - 1/180*g**6 - 14*g**2. Factor f(o).
-2*o*(o - 1)*(o + 1)/3
Let h(u) be the third derivative of u**8/2184 - u**7/1365 - u**6/390 - 461*u**2. Factor h(d).
2*d**3*(d - 2)*(d + 1)/13
Suppose -2*h = 3*g - 23, -4*g - 5*h + 30 = -2*g. Suppose c**g + 9*c**4 + 33*c**3 + 11 - 38 - 27*c - 7*c**3 + 18*c**2 = 0. What is c?
-3, -1, 1
Let k(c) = -c**2 - 8*c - 13. Let u be k(-5). Let s(n) be the second derivative of 9/2*n**u - n + n**3 + 0 - 1/4*n**4. Factor s(v).
-3*(v - 3)*(v + 1)
Let y(g) be the third derivative of -1/24*g**4 - 23*g**2 + 0 - 1/6*g**5 + 1/3*g**3 + 4/105*g**7 + 5/336*g**8 + 0*g - 1/30*g**6. What is f in y(f) = 0?
-1, 2/5, 1
Suppose 4*g - 10 = 5*x, x + 5*g + 8 = 6. Let v be x/((-10)/(-3)) + 518/630. What is u in 2/9*u + v*u**2 - 4/9 = 0?
-2, 1
Let m(z) = -24*z**2 - 96*z - 69. Let j(f) = f**3 - 24*f**2 - 95*f - 68. Let l(x) = 3*j(x) - 2*m(x). Factor l(b).
3*(b - 11)*(b + 1)*(b + 2)
Let t(j) be the third derivative of 1/1470*j**7 - 1/420*j**5 + 1/420*j**6 + 0*j**3 + 0 + 0*j - 18*j**2 - 1/84*j**4. Factor t(k).
k*(k - 1)*(k + 1)*(k + 2)/7
Factor -49 + 31*h**2 + 3*h**3 + 17*h + 14*h + 14*h**2 - 35 + 5*h.
3*(h - 1)*(h + 2)*(h + 14)
Let i = -600 + 331. Let g = 1885/7 + i. Factor g + 5/7*r + 2/7*r**2.
(r + 2)*(2*r + 1)/7
Let y be (-2 + 4)*(-14)/2. Let j = 19 + y. Factor -1 + 2*b + j*b**2 + 10 + 3 - 7*b**2.
-2*(b - 3)*(b + 2)
Let r(x) be the first derivative of -x**3/9 - 17*x**2/6 - 10*x - 378. Let r(a) = 0. What is a?
-15, -2
Let u be -2*8/(-4044)*3/2. Let r = u - -652/3707. Find p, given that 6/11*p**2 + r - 2/11*p**3 - 6/11*p = 0.
1
Let m = -938 - -19702/21. Let a(n) be the second derivative of 6*n + 1/70*n**5 - 2/21*n**4 + 0*n**2 + m*n**3 + 0. Suppose a(l) = 0. Calculate l.
0, 2
Let g(w) = 3*w - 3. Suppose -5*z + 5 + 5 = 0. Let c be (3 - z)/((-2)/6). Let y(m) = m**2 + 3*m - 4. Let s(o) = c*y(o) + 2*g(o). Factor s(h).
-3*(h - 1)*(h + 2)
Let o(w) be the third derivative of w**6/30 + 6*w**5/5 + 10*w**4 + 112*w**3/3 - 410*w**2. Determine q so that o(q) = 0.
-14, -2
Suppose -16*o + 18*o + 170 = 0. Let z = o + 88. Factor 2/3 + 5*r**2 + r**4 + 11/3*r**3 + z*r.
(r + 1)**3*(3*r + 2)/3
Suppose 12*n - 46 = 14. Suppose -9 = p - 3*y - 0, 0 = -p + n*y - 17. What is o in -1/2*o**p + 1/2*o + 1/4*o**4 + 0*o**2 - 1/4 = 0?
-1, 1
Let q be (-123)/(-12) + (-18)/(-24). Suppose 5*r - 2*r = -5*f - 5, -r = -3*f + q. What is x in -14/3*x**3 + f*x**2 + 0 - 2*x**4 + 4/3*x + 10/3*x**5 = 0?
-1, -2/5, 0, 1
Let d(a) be the second derivative of a**5/20 + a**4/3 + 3*a**2/2 - 4*a. Let h be d(-4). Factor -h*w - 3*w**2 + 2*w**2 - 11 + 2 + 9*w.
-(w - 3)**2
Suppose -9*b + 2*b = -28. Factor 91*o**2 - 94*o**2 - b*o + 4*o.
-3*o**2
Let h(j) = -75*j - 48. Let q be h(-3). Suppose 0 = q*b - 182*b. Suppose 0 + b*r - 2/11*r**3 - 2/11*r**4 + 0*r**2 = 0. Calculate r.
-1, 0
Let b(o) = -7*o**2 + 500*o - 20665. Let c(q) = -23*q**2 + 1501*q - 61994. Let u(k) = -7*b(k) + 2*c(k). Suppose u(g) = 0. What is g?
83
Factor 0*n + 2/3*n**2 - 2/3.
2*(n - 1)*(n + 1)/3
Let n(z) = 4*z + 4. Let p be n(0). Let l(f) = 2*f**3 - 8*f**2 + 6*f - 4. Let t(h) = -h. Let g(w) = p*t(w) - l(w). Factor g(v).
-2*(v - 2)*(v - 1)**2
Let n = -57419/30 + 1914. Let i(q) be the second derivative of 3*q + 1/15*q**3 - n*q**4 + 0*q**2 + 0. Factor i(k).
-2*k*(k - 1)/5
Factor -71*w - 102 - 40/3*w**2 - 1/3*w**3.
-(w + 3)**2*(w + 34)/3
Let f(h) be the second derivative of 1/4*h**5 + 0*h**2 - 25/6*h**4 + 0 + 1/6*h**6 + 20/3*h**3 + 24*h. What is b in f(b) = 0?
-4, 0, 1, 2
Let s(t) = 8*t**3 - t**2 + 3*t - 5. Let w(c) be the first derivative of 3/2*c**2 + 9/4*c**4 + 3 - 6*c + 0*c**3. Let a(x) = -6*s(x) + 5*w(x). Factor a(p).
-3*p*(p - 1)**2
Let b be (-1)/4 - 4/((-14912)/924). Let s = 2809/6058 + b. Let -2/13*v**3 - s*v**2 - 4/13*v + 0 = 0. Calculate v.
-2, -1, 0
Let s be ((-4)/5)/((-46)/345). Factor -8*h**2 + s*h**3 - 13*h**2 + 15 - 18*h**3 + 3*h**2 + 3*h**4 + 12*h.
3*(h - 5)*(h - 1)*(h + 1)**2
Let z(v) be the third derivative of -v**2 + 1/24*v**4 + 0 - 1/420*v**7 + 0*v**3 - 1/672*v**8 + 1/24*v**5 + 0*v + 1/80*v**6. Find u such that z(u) = 0.
-1, 0, 2
Let z(w) = -676*w - 4 + 679*w + 1. Let i be z(2). Suppose -3/7*y**i + 3/7*y**4 + 15/7*y - 6/7 - 9/7*y**2 = 0. What is y?
-2, 1
Solve -76*w**4 + 218*w**4 - 10*w**2 + 60*w**2 - 75*w**4 + 15*w**3 - 72*w**4 = 0.
-2, 0, 5
Suppose 2/5*v**3 - 7/5*v**4 - 12/5 + 28/5*v + 49/5*v**2 = 0. What is v?
-2, -1, 2/7, 3
Let r(k) = 8*k**5 - 16*k**4 - 13*k**3 - 7*k. Let q(m) = 57*m**5 - 111*m**4 - 90*m**3 + 3*m**2 - 48*m. Let i(b) = 4*q(b) - 27*r(b). Solve i(d) = 0.
-1, 0, 1/2, 1
Let r(m) be the third derivative of -1/24*m**4 + 1/120*m**6 + 1/6*m**3 - 1/60*m**5 + 0 + 16*m**2 + 0*m. Factor r(q).
(q - 1)**2*(q + 1)
Let k(i) be the first derivative of -3*i**6/10 - 66*i**5/25 + 3*i**4/10 + 72*i**3/5 + 39*i**2/2 + 42*i/5 + 263. Determine d so that k(d) = 0.
-7, -1, -1/3, 2
Let k(x) be the third derivative of x**5/30 + 11*x**4/12 + 10*x**3/3 + 11*x**2 - 6*x. Factor k(y).
2*(y + 1)*(y + 10)
Suppose 155*m + 2728*m**2 - 1774 + 0*m**5 - 4*m**5 - 1004*m**3 - 136*m**4 - 818 + 853*m = 0. What is m?
-18, -1, 1, 2
Let i(u) = -3*u**3 - 12*u - 29. Let m(g) = 7*g**3 + 24*g + 58. Let n(c) = 9*i(c) + 4*m(c). Let z(r) be the first derivative of n(r). Factor z(o).
3*(o - 2)*(o + 2)
Let p(y) be the third derivative of -y**7/70 + y**5/20 - 359*y**2. Solve p(t) = 0.
-1, 0, 1
Let b(h) = -5*h - 7. Let p be b(-2). Let t(u) be the first derivative of -1/3*u**3 + 3/4*u**4 + 0*u**2 + 1/5*u**5 - p - 1/2*u**6 + 0*u. What is r in t(r) = 0?
-1, 0, 1/3, 1
Let c = 18/1043 + 989/3129. Factor c*y**5 + 8/3*y - 5/3*y**3 + 4/3 - 1/3*y**4 + 1/3*y**2.
(y - 2)**2*(y + 1)**3/3
Suppose -11*l = -8*l - 9. Determine h, given that 0*h**5 - 5*h**5 + 2*h**4 + h**5 + 8*h**l + 2*h**4 = 0.
-1, 0, 2
Let k = -10187 - -10189. Solve 2/7*w + 2/7*w**4 - 2/7*w**3 + 0 - 2/7*w**k = 0 for w.
-1, 0, 1
Let v be 6/(-6)*((6 - 6)/2)/(-6). Suppose -2/5*q**3 + v*q + 1/5*q**2 + 1/5*q**4 + 0 = 0. What is q?
0, 1
Suppose 53*x - 2*x - 1033 = 191. Solve x*y + 96 + 3/2*y**2 = 0 for y.
-8
Find x, given that -8 + x**3 + 6*x**3 + 7*x**3 + 3*x - 52*x**2 + 33*x + 10*x**3 = 0.
1/2, 2/3, 1
Let i(a) be the second derivative of -a**7/168 + 91*a**6/120 - 193*a**5/8 - 3173*a**4/24 - 6533*a**3/24 - 2209*a**2/8 + 637*a. Solve i(z) = 0 for z.
-1, 47
F