32 + 36*f**2 + 8*f - 3. Suppose o(c) = 0. What is c?
-1, 0, 2, 3
Let 64/3 - 2/3*y**2 + 28/3*y = 0. What is y?
-2, 16
Let d(g) be the third derivative of -g**6/840 + 8*g**5/105 - 43*g**4/24 + 21*g**3 - 1401*g**2. Determine x, given that d(x) = 0.
7, 18
Suppose -t = -4*l + 19, l + 2*t + 2 + 0 = 0. Let p(w) be the first derivative of 8*w**3 + 12 + l - 3*w**2 + 12 - 7*w**3. Factor p(j).
3*j*(j - 2)
Suppose 196 = -98*x + 490. Let p(l) be the first derivative of 0*l - 10/33*l**x - 4 + 2/55*l**5 - 3/11*l**2 - 1/22*l**4. Factor p(v).
2*v*(v - 3)*(v + 1)**2/11
Let v(k) be the second derivative of -k**6/10 - 339*k**5/20 - 111*k**4/2 + 1897*k + 3. Solve v(m) = 0 for m.
-111, -2, 0
Solve -227/3*k**3 + 161/3*k**4 + 0 - 176/3*k**2 - 28/3*k = 0 for k.
-7/23, -2/7, 0, 2
Suppose 145037 = 55*m + 145037. Suppose 0 + m*g**2 - 1/6*g**4 + 1/6*g**3 + 0*g = 0. Calculate g.
0, 1
Let r = 28018/1085 + -5430/217. Suppose 0 + 4/5*c**3 + 0*c + 8/5*c**2 - r*c**4 = 0. What is c?
-1, 0, 2
Let l(w) be the second derivative of w**7/189 - w**6/45 - 7*w**5/90 + 7*w**4/54 + 2*w**3/3 + 8*w**2/9 + 356*w. Let l(u) = 0. What is u?
-1, 2, 4
Solve 11531/2*s**2 + 16928/3 + 185/3*s**3 + 1/6*s**4 + 34040/3*s = 0.
-184, -1
Let u(f) be the second derivative of -f**5/14 + 31*f**4/42 - 17*f**3/7 + 9*f**2/7 - 230*f + 1. Suppose u(g) = 0. What is g?
1/5, 3
Let j(c) = -174*c**2 - 1089*c + 39. Let f(x) = -33*x**2 + 2*x - 1. Let b(w) = -3*f(w) - j(w). Factor b(r).
3*(r + 4)*(91*r - 3)
Let f = 909958 + -241138443/265. Let w = f - -10/53. Factor 3/5*d - w*d**2 + 3/5*d**4 - 3/5*d**3 + 6/5.
3*(d - 2)*(d - 1)*(d + 1)**2/5
Let n(k) = 19*k - 3*k**2 - 84 - 84*k + 175*k - 27*k. Let a(z) = -5*z**2 + 165*z - 170. Let w(h) = -2*a(h) + 5*n(h). Factor w(x).
-5*(x - 16)*(x - 1)
Let a(z) be the second derivative of -1/9*z**6 + 0 - 1/63*z**7 - 97*z - 1/3*z**5 - 1/3*z**2 - 5/9*z**4 - 5/9*z**3. Suppose a(m) = 0. Calculate m.
-1
Let m(z) = -3*z - 130. Let h be m(-34). Let u be (12/(-14))/(12/h). Let 3/2*w**4 + 0 + 3/2*w**3 + 0*w - 3*w**u = 0. Calculate w.
-2, 0, 1
Suppose -1080*z + 3800/3 + 2/3*z**4 - 562/3*z**2 + 0*z**3 = 0. Calculate z.
-10, 1, 19
Let v(w) = w**2 - 39*w - 320. Let r be v(-7). Suppose 7 = i + 3. Factor -5*n**i + 4*n**r + 5*n**5 + 8*n**2 - 7*n**4 + 4*n**3 - 8*n - n**5.
4*n*(n - 2)*(n - 1)**2*(n + 1)
Let k(w) be the second derivative of -72 + 109/3*w**3 + 20*w**2 - w - 11/12*w**4. Factor k(i).
-(i - 20)*(11*i + 2)
Let y be 7/(-3 + ((-845)/(-10))/13). Suppose 3*t = q - y, 3 - 7 = -2*q - t. Determine i so that -2*i**3 - 11/2*i**q - 5/2*i + 1 = 0.
-2, -1, 1/4
Let g(r) be the second derivative of -31/6*r**4 + 0 + 1/10*r**5 + 224/3*r**3 - 29*r + 256*r**2. Let g(v) = 0. Calculate v.
-1, 16
Factor 116*k - 22*k**4 - 43*k**5 - 517 + 62*k**2 - 30*k**3 + 565 + 45*k**5.
2*(k - 12)*(k - 2)*(k + 1)**3
Let i(o) = o**3 - 4*o**2 - 10*o - 10. Let u be i(6). Factor -42*f - 4*f**3 + f**3 + 6*f**2 + 2*f**u + 2*f**3 + 3*f**3.
2*f*(f - 3)*(f + 7)
Let f(j) be the third derivative of -j**7/105 - 182*j**6/15 - 66611*j**5/15 - 22022*j**4 - 43923*j**3 + 8*j**2 + 234*j + 1. Factor f(d).
-2*(d + 1)**2*(d + 363)**2
Let q(n) be the first derivative of 139*n + 36*n**2 - n**3 - 10 - 17 + 2*n**3 + 293*n. Determine r, given that q(r) = 0.
-12
Let c(b) be the second derivative of -19*b - 2 + 4/9*b**4 + 0*b**2 + 1/3*b**3. Factor c(s).
2*s*(8*s + 3)/3
Let m(t) be the second derivative of t**4/42 - 20*t**3/7 + 1062*t. Find k, given that m(k) = 0.
0, 60
Let o(b) = b**2 + 1047*b + 271451. Let f(y) = -y**2 - 1046*y - 271449. Let i(n) = -5*f(n) - 4*o(n). Factor i(h).
(h + 521)**2
Suppose h + 3*k + 7 = 0, h - 2*k + 2 = 5*h. Solve -3*w**5 - 48*w**3 + 48*w + 3*w**2 + 3*w**h + 21*w**4 - 48 + 18*w**2 = 0.
-1, 2
Let c = 16765/4 - 4191. Let b(x) be the third derivative of 0 + 23*x**2 + 0*x + c*x**4 - 7/20*x**5 - 3/70*x**7 + 1/5*x**6 + 0*x**3. Factor b(k).
-3*k*(k - 1)**2*(3*k - 2)
Suppose 723*r**3 + 84827*r**2 - 84698*r**2 - 3*r**5 - 136*r**4 - 720*r + 7*r**4 = 0. Calculate r.
-48, -1, 0, 1, 5
Let w = 2289 - 2284. Let l(s) be the first derivative of -1/3*s**6 - 2/3*s**3 - 9 + 0*s**2 - 3/2*s**4 - 6/5*s**w + 0*s. What is u in l(u) = 0?
-1, 0
Let v(l) be the third derivative of l**6/480 + 13*l**5/160 + 3*l**4/8 + 112*l**3/3 + 4*l**2 + 34. Let c(t) be the first derivative of v(t). Factor c(x).
3*(x + 1)*(x + 12)/4
Let k be (((-72)/(-20))/(-2))/(15/(-25)). Suppose 40 = -k*g + 46. Factor -5/3*t**g + 3 - t - 1/3*t**3.
-(t - 1)*(t + 3)**2/3
Let m = 156756/5 - 31351. Let p(u) be the second derivative of 0 + 0*u**2 + 1/3*u**4 + m*u**5 + 41*u - 4/3*u**3. Suppose p(f) = 0. Calculate f.
-2, 0, 1
Suppose 7*p - 2*n = 8*p + 4, 4*p - 6*n = 40. Let q(g) be the first derivative of 76/3*g**3 - 31 - 400*g - g**p - 160*g**2. Factor q(f).
-4*(f - 10)**2*(f + 1)
Let u(y) be the second derivative of y**5/10 + 73*y**4/2 - 442*y**3/3 + 3245*y. What is i in u(i) = 0?
-221, 0, 2
Let c be 3 + (-138)/4 + 24/16. Let j be 36/c*20/(-8). Let 2*i**j + 4 - 74*i**2 + 70*i**2 - 3*i + 2*i**3 - i = 0. Calculate i.
-1, 1
Suppose 4*u = -5*l + 27, 8*u + 2*l = 11*u - 26. Factor -18*z**2 + 8*z + 68*z + u*z - 12*z**2 - 40 - 14*z**2.
-4*(z - 1)*(11*z - 10)
Let f(u) be the third derivative of -1/8*u**6 + 0 + 17/60*u**5 - 4*u**2 + 0*u**3 + 1/70*u**7 + 10*u + 1/336*u**8 - 1/4*u**4. What is d in f(d) = 0?
-6, 0, 1
Factor -13*n**4 - 648 + 16*n**4 + 3146*n**2 - 4091*n**2 + 144*n**3 + 1446*n.
3*(n - 4)*(n - 1)**2*(n + 54)
Find h, given that -67/7*h**5 - 2/7*h**2 + 0*h - 136/7*h**4 - 71/7*h**3 + 0 = 0.
-1, -2/67, 0
Let p(j) be the second derivative of -2*j**5/15 + j**4/2 + 46*j**3/3 - 35*j**2/3 + j + 760. Factor p(f).
-2*(f - 7)*(f + 5)*(4*f - 1)/3
Let d(b) be the second derivative of 1/9*b**6 + 1/63*b**7 - 70 - 2*b - 17/18*b**4 + 0*b**2 + 4/3*b**3 - 1/30*b**5. Find s such that d(s) = 0.
-4, -3, 0, 1
Find b, given that 2/3*b**4 - 32/3*b + 8/3*b**3 - 6*b**2 + 40/3 = 0.
-5, -2, 1, 2
Let g(w) be the third derivative of -w**6/600 + 7*w**5/100 - 558*w**2. What is x in g(x) = 0?
0, 21
Let p(d) be the third derivative of -5/2*d**4 - 4/105*d**7 + 76*d**2 - d - 13/30*d**5 + 0 + 7/20*d**6 + 8/3*d**3. Determine j, given that p(j) = 0.
-1, 1/4, 2, 4
Suppose 664 = 7*k - 71. Let o = 527/5 - k. Let 0 + 4/5*i - 6/5*i**2 + o*i**3 = 0. Calculate i.
0, 1, 2
Let z(d) = 31*d**2 - 680*d - 9. Let x be z(22). Let j(u) be the first derivative of 0*u - x - 10*u**2 - 4/3*u**3. Let j(s) = 0. Calculate s.
-5, 0
Let f = -12/76445 + 1054953/76445. Find v, given that 3/5*v**2 - f*v + 0 = 0.
0, 23
Let g be (-5)/(-2) - 12779/17694. Factor g*d - 2/9*d**3 + 2/9*d**2 - 8/3.
-2*(d - 2)**2*(d + 3)/9
Let r(p) = -p**3 - 15*p**2 - 9*p - 7. Let j be r(-9). Let i = -412 - j. Factor -12/7*u**3 - 2/7*u + 8/7*u**2 + i + 8/7*u**4 - 2/7*u**5.
-2*u*(u - 1)**4/7
Let q(f) be the third derivative of -21 - 6*f**2 + 0*f + 29/20*f**4 - 6*f**3 + 1/525*f**7 - 19/150*f**5 - 1/100*f**6. Determine h so that q(h) = 0.
-5, 2, 3
Suppose 2*t + 3*t - 2*c = 29, 2*t = 2*c + 14. Factor 10*o**2 - 30*o**t - 20*o**3 + 10 + 16*o**5 + 25*o - 10*o**4 + 9*o**5 - 10*o**4.
-5*(o - 1)*(o + 1)**3*(o + 2)
Let o be (-23 + (-1211)/7)*21/(-60). Let p(x) be the second derivative of 6*x - 98*x**4 - 16*x**2 + 56*x**3 + 0 + o*x**5. Suppose p(c) = 0. Calculate c.
2/7
Factor -105*v**2 - v**3 - 640*v + 65*v - 4*v**2 - 1977*v + 23548.
-(v - 7)*(v + 58)**2
Let u be -6 + (-2)/14 + 3180/210. Let j(c) be the second derivative of 0 + 3/160*c**5 + 1/8*c**3 - u*c + 0*c**2 - 3/32*c**4. Let j(l) = 0. Calculate l.
0, 1, 2
Let o(t) be the third derivative of -t**7/105 - t**6/80 + 61*t**5/120 + 5*t**4/4 - 48*t**2 - 27*t. Find i, given that o(i) = 0.
-15/4, -1, 0, 4
Let z be (10/675*6)/(19/95). Factor 20/9*d**3 + z*d**2 - 22/9*d - 14/9*d**4 + 10/9 + 2/9*d**5.
2*(d - 5)*(d - 1)**3*(d + 1)/9
Suppose 3*v - 105*t = -100*t + 12, 0 = 5*v - t - 20. Factor 0 - 6*q**2 + 0*q - 2/3*q**v - 20/3*q**3.
-2*q**2*(q + 1)*(q + 9)/3
Let a(r) = -3*r - 19. Let z(i) = i. Let g(v) = -a(v) - 2*z(v). Let k be g(-14). Let -25*f**2 + 10*f - 1 + k - 5 = 0. Calculate f.
1/5
Let q(d) = 4*d**2 + 1. Let u be q(1). Suppose -2 = u*l - 5*f - 22, 2*f = 2. Let -l*n**2 - 394 - 4*n + 5*n**4 + 394 - n + 5*n**3 = 0. What is n?
-1, 0, 1
Let h(p) be the third derivative of 3/4*p**4 + 19*p**2 + 0*p**3 + 2 - 1/40*p**6 - 1/20*p**5 + 0*p. Factor h(r).