ve g - 16/7*v + 4/7*v**2 = 0 for v.
1, 3
Let p(f) be the second derivative of f**5/5 - 17*f**4 + 66*f**3 - 98*f**2 + 786*f. What is i in p(i) = 0?
1, 49
Determine f so that 3/2*f**4 - f**3 - 6*f**2 - 1/4*f**5 + 8*f + 0 = 0.
-2, 0, 2, 4
Suppose a = 4*x - 7, 2*a - a - 1 = 0. Factor -29 - 10 - 12*w**2 - 112*w + 1 + x.
-4*(w + 9)*(3*w + 1)
Let v(j) be the second derivative of 1/13*j**2 - 5/78*j**4 - 3/130*j**5 + 1/13*j**3 + j + 20 + 4/195*j**6. Determine h, given that v(h) = 0.
-1, -1/4, 1
Let b be (-447)/(-1639) - ((-29203)/2508 + (-2)/(-8)). Find g such that 50/3*g**2 - 4*g**4 + 3*g**5 - 8/3 - 4/3*g - b*g**3 = 0.
-2, -1/3, 2/3, 1, 2
Let h(m) be the third derivative of -m**7/70 + 17*m**6/20 + 187*m**5/20 + 77*m**4/2 + 78*m**3 - 1098*m**2. Determine n so that h(n) = 0.
-2, -1, 39
Let a(x) be the first derivative of 64/3*x**3 + 23/2*x**4 + 1/6*x**6 + 65 + 10*x + 14/5*x**5 + 41/2*x**2. Factor a(u).
(u + 1)**4*(u + 10)
Let w = 743368 - 5203528/7. Factor 48/7 + w*i - 12/7*i**3 - 3/7*i**4 + 0*i**2.
-3*(i - 2)*(i + 2)**3/7
Let q be (0 + 21/6)*(-2296)/(-98). Let h be 315/(-189) - q/(-42). Factor 2/7*d**4 + 0 - h*d**3 + 0*d**2 + 0*d.
2*d**3*(d - 1)/7
Let i(p) be the second derivative of p**6/15 + 3*p**5/5 + 4*p**4/3 - 772*p. Factor i(v).
2*v**2*(v + 2)*(v + 4)
Let t(z) = 2*z**2 + 30*z - 28. Let h be t(-16). Find s such that 15*s**2 + 12 - 12 + 23*s**3 - 18*s**3 - 15*s**h - 5*s**5 = 0.
-3, -1, 0, 1
Suppose 5*k + 24 = -4*t + 6*t, 2*t = -5*k - 16. Suppose -511*g = -516*g + 20. Let 3*a**t + g*a**2 + 0*a**2 - 12*a**3 + a**2 + 4*a**4 = 0. What is a?
0, 1, 2
Determine r so that -2/17*r**5 - 80/17*r**2 + 4/17*r**4 + 76/17*r**3 - 650/17*r - 500/17 = 0.
-5, -2, -1, 5
Let i be 0*(1 - 0) + 13. Let r = 2446 + -2444. What is q in 3*q**5 - i*q**4 - 17*q**4 + 3*q**r - q**3 - 2*q**3 + 27*q**4 = 0?
-1, 0, 1
Let p(f) = 76*f**2 + 7*f + 12. Let j be p(-4). Determine r, given that -10*r**2 - 44*r**2 + 4*r**3 + 35*r**2 + 0*r**3 - 73*r**2 - j + 640*r = 0.
3, 10
Let o(y) be the second derivative of y**5 - 101*y**4/3 + 401*y**3/30 - 2*y**2 - 109*y + 4. Factor o(r).
(r - 20)*(10*r - 1)**2/5
Let d(n) = 14*n**2 + 1306*n + 2914. Let w be d(-91). Find r, given that 4/7*r**3 - 8*r + 4/7*r**w - 96/7 = 0.
-3, -2, 4
Let i(j) = 3*j**5 - 378*j**4. Let d(b) = -30*b**5 + 3780*b**4. Let o(n) = -2*d(n) - 21*i(n). Factor o(x).
-3*x**4*(x - 126)
Let l(i) be the third derivative of i**6/40 - 3*i**5/10 + 16*i**3 - 1599*i**2. Solve l(x) = 0 for x.
-2, 4
Let k be (-2)/((2340/(-148))/39). Suppose 0 + 14/15*y**4 + 76/15*y**2 + 16/15*y + k*y**3 = 0. Calculate y.
-4, -1, -2/7, 0
Suppose -2*x = 15*x + 136. Let p be 13 - -1*(x + -1). Factor 12/7*k - 3/7*k**3 + 0 + 12/7*k**2 - 3/7*k**p.
-3*k*(k - 2)*(k + 1)*(k + 2)/7
Let t(v) = v**2 - 11. Let s be t(4). Let j be 98/35 - s - -7. Factor 72/5 + j*r + 2/5*r**2.
2*(r + 6)**2/5
Factor 2/13*s**2 - 4340/13 - 4338/13*s.
2*(s - 2170)*(s + 1)/13
Let w(g) be the third derivative of -2*g**7/105 - 77*g**6/30 - 50*g**5 - 258*g**4 + 1584*g**3 + 112*g**2 + 3*g. Determine h so that w(h) = 0.
-66, -6, 1
Solve 0*d + 225*d**3 + 1/3*d**5 + 53/3*d**4 + 0 - 243*d**2 = 0.
-27, 0, 1
Let o(h) = 17*h + 20 + 246 + 111 - 105. Let j be o(-16). Factor j + 1/4*a - 1/4*a**2.
-a*(a - 1)/4
Let c be 38 + ((-16)/2)/1. Solve -113*u + 0*u**4 + u**4 - 117*u - 18*u**3 + 44*u + 108*u**2 - c*u = 0.
0, 6
Let v = 9/83 + -38945/166. Let i = v + 235. Let 10*p**4 - 13/4*p**2 + i*p + 0 + 9/4*p**3 + 4*p**5 = 0. What is p?
-2, -1, 0, 1/4
Suppose 4*n - 22*n = -90. Suppose 185 = n*f + 2*x + 177, f - 6 = 4*x. What is d in 0 - 1/2*d**3 + 3/2*d + d**f = 0?
-1, 0, 3
Factor -2/5*t**2 + 0 - 624/5*t.
-2*t*(t + 312)/5
Suppose -20 = -10*d + 50. Let -17*q**2 - 11*q + 4*q**4 - 10*q**3 + 16*q**3 - 139*q - 43 - 81*q**2 - d = 0. Calculate q.
-5, -1, -1/2, 5
Let r(b) = -2*b**3 + 9*b**2 + 40*b + 31. Let y be r(-2). Determine z, given that -14/5*z**2 - 6/5*z**y + 6/5 + 14/5*z = 0.
-3, -1/3, 1
Let r(s) = -19*s + 159. Let n be r(9). Let l be (n/56)/((-3)/8). Factor -l*d**4 + 240/7*d - 52/7*d**2 - 40/7*d**3 - 144/7.
-4*(d - 1)**2*(d + 6)**2/7
Let x(i) be the third derivative of 0*i + 7/12*i**4 + 0 - 149*i**2 - 1/120*i**5 - 9/4*i**3. Factor x(p).
-(p - 27)*(p - 1)/2
Let q(m) be the second derivative of -3 + 25*m - 1/8*m**4 - 57/4*m**2 - 5*m**3. Factor q(k).
-3*(k + 1)*(k + 19)/2
Let x(d) be the first derivative of -d**6/72 + d**5/6 - 5*d**4/8 - 100*d**3/3 - 53. Let f(i) be the third derivative of x(i). Suppose f(p) = 0. Calculate p.
1, 3
Let f be 770/(-44)*3/((-9)/6). Factor 1446*t**2 - 2898*t**2 + 1447*t**2 + 40*t - f.
-5*(t - 7)*(t - 1)
Let w(m) be the first derivative of -m**4/18 - 98*m**3/27 - 184*m**2/9 - 40*m - 142. Determine u, given that w(u) = 0.
-45, -2
Let i be ((-765)/10)/17*44/(-99). Let v(s) be the second derivative of 27*s + 0 - 2/7*s**3 - 1/21*s**4 + 8/7*s**i. Determine t so that v(t) = 0.
-4, 1
Let v(r) be the second derivative of 3*r**2 + 3 + 1/12*r**4 + 8*r - 7/6*r**3. Factor v(a).
(a - 6)*(a - 1)
Suppose 0 = f + 39*a - 38*a - 2, -2*f + a + 7 = 0. Let r(o) be the first derivative of 6 - 1/6*o**f - 2*o - 5/4*o**2. Let r(x) = 0. Calculate x.
-4, -1
Let r(i) = 33*i**3 - 1317*i**2 - 23*i - 23. Let v(z) = 3*z**3 - 120*z**2 - 2*z - 2. Let t(y) = 2*r(y) - 23*v(y). Factor t(k).
-3*k**2*(k - 42)
Let h(q) be the third derivative of q**9/60480 + q**8/3360 + q**7/630 + 49*q**5/60 + 44*q**2. Let w(p) be the third derivative of h(p). Factor w(k).
k*(k + 2)*(k + 4)
Let m = 306 - 302. Factor 5469*o + 65*o**2 + 32*o**m - 5581*o - 4*o**5 - 100*o**3 + 87*o**2 + 32.
-4*(o - 2)**3*(o - 1)**2
Let j(h) be the second derivative of 7*h**4/4 - 81*h**3 + 69*h**2/2 + h + 470. Let j(v) = 0. Calculate v.
1/7, 23
Suppose -4*z - 7310 = 2*t, 9*t - 6*t - 5*z = -10998. Let i = t - -14725/4. Find b, given that 3/4 + i*b**3 + 81/4*b**2 + 27/4*b = 0.
-1/3
Let s(r) = 0*r**3 - r**3 + 23*r + r**2 - 29 - 28*r - 20*r**2 - 45*r. Let m be s(-16). Factor -25/2*d**m - 12*d + 2 + 45/2*d**2.
-(d - 1)*(5*d - 2)**2/2
Factor 4/5*p**4 + 428/5*p**2 + 352/5*p + 16*p**3 + 0.
4*p*(p + 1)*(p + 8)*(p + 11)/5
Let u(b) = -14*b**2 - 64*b - 4. Let o(l) = 39*l**2 + 190*l + 11. Let n(s) = 4*o(s) + 11*u(s). Factor n(k).
2*k*(k + 28)
Let c = 5693 - 56927/10. Let w(x) be the second derivative of 8/9*x**2 + 0 - 18*x + 1/27*x**6 - 4/3*x**3 - c*x**5 + 25/27*x**4. Solve w(q) = 0 for q.
2/5, 1, 2
Let z(v) = -95*v**2 - 866*v - 42. Let i(j) = -95*j**2 - 868*j - 41. Let r(g) = -3*i(g) + 4*z(g). Factor r(a).
-5*(a + 9)*(19*a + 1)
Let q(w) be the second derivative of 4/3*w**3 + 1/1080*w**6 + 0 + 1/90*w**5 + 0*w**2 + 10*w + 1/24*w**4. Let p(a) be the second derivative of q(a). Factor p(m).
(m + 1)*(m + 3)/3
Let b(f) = -34 + 53 + f - f**3 - 19. Let y(q) = -3*q**3 + 3*q. Let g(r) = -2*b(r) - y(r). Factor g(m).
5*m*(m - 1)*(m + 1)
Let w(p) = 9*p**2 + 209*p + 1100. Let i(r) be the second derivative of r**4/4 + 35*r**3/3 + 367*r**2/2 - 23*r. Let t(j) = 11*i(j) - 4*w(j). Factor t(g).
-3*(g + 11)**2
Let a be ((-14)/(-5))/((-1316)/(-940)). Let b = -123/2 - -251/4. Suppose b*h**a - 15/4*h + 0 = 0. Calculate h.
0, 3
Let c(b) be the third derivative of 0*b - 1/140*b**7 - 101*b**2 + 0*b**4 + 0 - 1/32*b**6 + 0*b**3 + 3/80*b**5. Solve c(v) = 0 for v.
-3, 0, 1/2
Let q(b) be the third derivative of -b**8/1680 - 2*b**7/175 - b**6/300 + 22*b**5/75 - 39*b**4/40 + 22*b**3/15 + 2*b**2 - 82*b + 4. Factor q(f).
-(f - 1)**3*(f + 4)*(f + 11)/5
Factor 10*a - 12 + 1/4*a**3 - 11/4*a**2.
(a - 4)**2*(a - 3)/4
Let u = 86 - 83. Suppose 5*w = -2*z + 11, 2*z - u*z - 8 = -2*w. Factor 7*m**2 + 5*m**w + 4*m**2 + m**2 - 2*m**2 + 5*m.
5*m*(m + 1)**2
Find b, given that 360/7*b**2 + 0*b + 2/7*b**4 + 18*b**3 + 0 = 0.
-60, -3, 0
Let j(z) = -5*z - 152. Let b = -847 + 816. Let c be j(b). Factor -9/5*i**4 - 2/5*i + 16/5*i**c - i**2 + 0.
-i*(i - 1)**2*(9*i + 2)/5
Let i(a) be the second derivative of a**4/4 + 85*a**3/2 + 249*a**2 - 513*a. Suppose i(w) = 0. Calculate w.
-83, -2
Let y = -238835/7 - -33579. Let l = -539 - y. Factor 6/7*n**4 + 0*n**2 - 3/7*n**3 + 0*n + l*n**5 + 0.
3*n**3*(n + 1)*(3*n - 1)/7
Let n(j) be the first derivative of -15 - 2/5*j**5 + 0*j + 0*j**2 + 1/6*j**6 - 13/4*j**4 - 10/3*j**3. Let n(c) = 0. Calculate c.
-2, -1, 0, 5
What is o in -91/5*o + 1/10*o**2 - 184/5 = 0?
-2, 184
Suppose -8*t = t - 11655. Suppose w +