 + 16*d = -216. Let y = d - -42. Solve -15 + 3*t**3 - 13*t**3 + 3*t + 8*t**5 + 30*t**2 - 3*t**5 + 2*t - y*t**4 = 0.
-1, 1, 3
Let i(k) be the second derivative of k**4/48 + 19*k**3/12 + 325*k**2/8 - 607*k. Solve i(t) = 0.
-25, -13
Let o(m) = m**3 + 7*m**2 + 4*m. Let g be o(-6). Suppose g*z = 6*z + 114. Suppose -4*x - z*x**2 + x**3 + 0*x - x**4 + 23*x**2 = 0. Calculate x.
-2, 0, 1, 2
Determine u, given that -285/8*u + 225/4 + 4*u**2 - 1/8*u**3 = 0.
2, 15
Let h = 37 - 20. Suppose 0 = 5*q - 2*c - h, 0 = -3*q - 4*c + 3 + 2. Factor -24*v**2 - 18*v**4 - 8*v**2 - 16*v + 12*v**q + 54*v**4.
4*v*(v - 1)*(3*v + 2)**2
Solve 30*z + 4799*z**2 + 45*z + 9*z**4 - 3587*z**2 + 145*z + 1001*z**3 = 0 for z.
-110, -1, -2/9, 0
Let s(h) be the third derivative of h**6/600 + 2*h**5/75 - h**4/120 - 4*h**3/15 + 737*h**2. Factor s(a).
(a - 1)*(a + 1)*(a + 8)/5
Factor -32/3*j**2 - 4/9*j**3 - 20*j - 88/9.
-4*(j + 1)**2*(j + 22)/9
Let 2378*g**2 - 211600 + 2940*g + 72500*g - 328*g**3 - 4*g**4 - 7262*g**2 = 0. Calculate g.
-46, 5
Let x be 48/(-216) - 25/(-45). Let q(h) be the first derivative of -9 + 0*h + 3/20*h**4 + 1/5*h**2 - 1/30*h**6 - x*h**3 + 1/25*h**5. Solve q(y) = 0 for y.
-2, 0, 1
Let k = -2464 + 2467. Let x(n) be the second derivative of 0 + 4/15*n**k + 12*n + 1/75*n**6 + 0*n**2 + 0*n**4 - 3/50*n**5. Suppose x(h) = 0. Calculate h.
-1, 0, 2
Let s = 90 - 83. Suppose 16*q = s + 41. Suppose -15*m**4 + 241 + 5*m**5 - 5*m**q + 0*m**4 + 35*m**2 - 261 = 0. What is m?
-1, 1, 2
Let w(p) be the third derivative of p**6/360 + 2*p**5/45 - 5*p**4/18 - 328*p**2. Solve w(k) = 0.
-10, 0, 2
Let w(p) be the second derivative of -74088*p**2 - 123*p - 1764*p**3 + 0 - 21*p**4 - 1/10*p**5. Find o such that w(o) = 0.
-42
Let m(z) = -z + 1. Let x(w) = -3*w + 8. Let i(v) = -10*m(v) - 5*x(v). Let h be i(2). Factor 0*g**3 - 2/5*g**5 + 0 + h*g**2 + 0*g + 4/5*g**4.
-2*g**4*(g - 2)/5
Let h = 2/138953 - -138943/694765. Factor -32/5 + 33/5*o - h*o**2.
-(o - 32)*(o - 1)/5
Suppose 1550*l - 49*l**3 + 946*l + 51*l**3 - 836*l**2 + 604*l**2 = 0. What is l?
0, 12, 104
Let r(w) be the first derivative of 38*w**3/21 + 2*w**2/7 - 6*w - 361. Factor r(q).
2*(q - 1)*(19*q + 21)/7
Suppose -532*k = -551*k + 361. Let i be (-1)/(((-1976)/48)/k). Determine c so that 0*c + 2/13*c**3 - 8/13*c**4 + 0 - i*c**5 + 4/13*c**2 = 0.
-1, 0, 2/3
Let c be 1 - -1*(-8)/20*-5. Let k(r) = -4*r**3 + r**2 + 5*r. Let l(n) = 3*n**3 - n**2 - 4*n. Let i(o) = c*l(o) + 2*k(o). Factor i(m).
m*(m - 2)*(m + 1)
Let b(s) be the third derivative of -1/42*s**7 - 1/12*s**4 + 1/12*s**5 + 0*s**3 + 5 - 5*s**2 + 0*s + 1/60*s**6. Let b(g) = 0. Calculate g.
-1, 0, 2/5, 1
Let k(i) = -i - 28. Let x be k(-43). Let c(w) be the third derivative of 0*w**3 + 1/24*w**6 + 0 + 0*w**5 + x*w**2 + 0*w - 5/24*w**4. Solve c(r) = 0.
-1, 0, 1
Let l be (-1 - -46)*3*64/(-72). Let i be (-82)/l - (-25 - -16)/(-108). Factor -3/5*q - 1/5*q**3 + 1/5 + i*q**2.
-(q - 1)**3/5
Let d be ((3 - 41/2)*-2)/1. Factor -28 + 5 + 325*l - 11 - 56 - d*l**2.
-5*(l - 9)*(7*l - 2)
Let m(d) be the first derivative of 3*d**5/10 + d**4/2 - 11*d**3/6 - 4*d**2 - 2*d - 1070. Solve m(q) = 0.
-2, -1, -1/3, 2
Let w = 2212 + -2209. Suppose -j = 3*t, -5*t + 12 = w*j + 8. Factor 108*u**2 + 96/5 - 15*u**j + 468/5*u.
-3*(u - 8)*(5*u + 2)**2/5
Determine i so that -26/7*i + 100/7*i**2 - 6 - 32/7*i**3 = 0.
-1/2, 1, 21/8
Let v(d) = 27*d + 519. Let z be v(-19). Let m be 2/z + 3*(-10)/(-30). Factor -5/6*s**2 + 1/6*s**3 - 2/3 + m*s.
(s - 2)**2*(s - 1)/6
Let h = 7428 + -14279/2. Let l = -1727/6 + h. Determine d, given that d**2 + 0 + l*d**3 + 0*d - 1/3*d**4 = 0.
-1, 0, 3
Let v(i) be the third derivative of -i**7/140 - i**6/60 + 97*i**5/60 + 185*i**4/12 + 75*i**3/4 + 7*i**2 - 10. Solve v(p) = 0 for p.
-5, -1/3, 9
Let q(d) be the first derivative of -d**4/14 - 3*d**3/7 + 94*d**2/7 + 96*d/7 + 140. Factor q(s).
-(s - 8)*(s + 12)*(2*s + 1)/7
Let v = 561/5 + -3917/35. Solve 0 - 8/7*d**2 + v*d**4 + 6/7*d**3 + 0*d = 0 for d.
-4, 0, 1
Let 20*q + 11*q - 9*q**3 + 40*q**2 + 3*q**3 + 8*q + 7*q**3 = 0. Calculate q.
-39, -1, 0
Let o(x) be the first derivative of 8*x**6/3 + 2564*x**5/5 + 311*x**4/2 - 2884*x**3/3 - 319*x**2 + 320*x - 3378. Find h such that o(h) = 0.
-160, -1, -1/2, 1/4, 1
Let x = -629154/35 + 17976. Let a(h) be the first derivative of 4/21*h**6 - 5/14*h**4 - x*h**5 + 2/7*h**3 + 1/7*h**2 + 0*h - 40. Solve a(c) = 0 for c.
-1, -1/4, 0, 1
Let r(a) be the second derivative of a**4/28 - 139*a**3/7 + 831*a**2/14 + 7097*a. Factor r(c).
3*(c - 277)*(c - 1)/7
Let m(t) = -t**4 + t**3 + t**2. Suppose 3*n - 20 = -n. Let p(i) = -21*i**3 + 21*i**4 + 3*i**n - 35 + 35 - 21*i**2. Let u(v) = -18*m(v) - p(v). Solve u(a) = 0.
-1, 0, 1
Find z, given that 117 - 3*z**4 - 57 + 40*z**3 + 1296*z - 478*z**3 - 60 - 855*z**2 = 0.
-144, -3, 0, 1
Suppose 27 = 5*y + 3*f, -y + 2*f = 6*f - 19. Suppose s**2 + 61*s - 45*s + y*s**2 + 12 = 0. Calculate s.
-3, -1
Let d(f) = -3*f**2 + 14*f + 23. Let l = 82 + -80. Let n(q) = q**2 - 2*q**l + 5*q + 3 + 3 + 2. Let i(p) = -6*d(p) + 17*n(p). Suppose i(w) = 0. Calculate w.
-2, 1
Let y(m) = 2*m**2 - 17*m + 27. Let h be y(7). Let 20*j**2 + h*j**4 + 33*j**3 - 11*j**2 - 6*j**4 - 12*j**4 = 0. What is j?
-1/4, 0, 3
Let r(h) be the third derivative of -h**6/120 - 71*h**5/20 + 36*h**4 - 434*h**3/3 - 10*h**2 - 8*h - 9. Solve r(j) = 0.
-217, 2
Let i(h) = h**3 - 98*h**2 + 6*h + 3. Let r(t) = 2*t**3 - 198*t**2 + 10*t + 5. Let a(v) = 5*i(v) - 3*r(v). Factor a(p).
-p**2*(p - 104)
Let n = -19/6520 - -13173/45640. Factor n*l**2 + 27/7 - 3*l.
(l - 9)*(2*l - 3)/7
Let i(t) = -4*t**2 - 24*t + 2. Let u be i(-6). Factor 3*n**u - 37 - 3*n**2 + n**2 + 36*n.
(n - 1)*(n + 37)
Factor 138 - 748 - u**2 - 398 + 16*u + 5*u**2.
4*(u - 14)*(u + 18)
Let o(x) be the second derivative of 106*x + 2*x**5 - 25/2*x**3 + 0 + 15/4*x**4 - 5*x**2. Solve o(w) = 0 for w.
-2, -1/8, 1
Let v(d) be the first derivative of d**3/18 - 58*d**2/3 + 77*d/2 - 3949. Factor v(k).
(k - 231)*(k - 1)/6
Let y(s) = s**3 - s**2 - 36*s - 26. Let c be y(-5). Let n(h) be the second derivative of -15*h + 1/2*h**2 + 1/8*h**3 - 1/48*h**c + 0. Solve n(r) = 0 for r.
-1, 4
Suppose -5*y + 45 = -5*f, -5*y - 3 = -4*y - 4*f. Factor 14 + a**2 + 4*a**2 + 1 - y*a - 7*a.
5*(a - 3)*(a - 1)
Solve 78*n**5 + 168*n**3 - 201 + 256*n**2 + 44*n**4 + 128*n - 74*n**5 + 201 = 0.
-4, -2, -1, 0
Let u(t) be the first derivative of -t**5/40 + 9*t**4/8 - 10*t**3 - 100*t**2 + 646. Let u(d) = 0. What is d?
-4, 0, 20
Let k = -15475/96 - -5425/32. Solve -5/3*y**3 + 70/3 - k*y - 40/3*y**2 = 0.
-7, -2, 1
Let t(y) = 40*y**3 + 863*y**2 - 1260*y + 10. Let x(r) = -21*r**3 - 432*r**2 + 630*r - 6. Let q(n) = -3*t(n) - 5*x(n). What is o in q(o) = 0?
-30, 0, 7/5
Let c(x) be the first derivative of -x**5/5 - 33*x**4/2 + 73*x**3/3 + 201*x**2 - 6279. Factor c(r).
-r*(r - 3)*(r + 2)*(r + 67)
Let h be -1*(4 + 80/(-20)). Let z(y) be the second derivative of -29*y + h - 13/12*y**4 + 2*y**2 - 5/3*y**3 - 7/40*y**5. Find j such that z(j) = 0.
-2, 2/7
Let k be (-40)/(-7) - ((-12)/(-7) - 2). Find n, given that -k*n - 130*n**2 - 6*n + 52*n - 35*n**3 = 0.
-4, 0, 2/7
Let z be (-123)/(-12) + -1 + (-6)/(-1) + -65 + 58. Solve 33/4*u**2 + 21/4*u**3 + 3/2*u - z*u**4 - 27/4*u**5 + 0 = 0 for u.
-1, -2/9, 0, 1
Solve 14*s**2 + 2744*s + 13 - 2769*s - s**3 - 1 = 0 for s.
1, 12
Let d = -145 + 149. Factor -3*v**d + 0*v**4 + 9*v - 1364*v**2 + 3*v**3 + 1379*v**2.
-3*v*(v - 3)*(v + 1)**2
Let p(g) = -g**2 + 473*g - 9908. Let o be p(22). Factor -o*y**2 - 11/2*y**3 - 3 - 23/2*y.
-(y + 1)**2*(11*y + 6)/2
Let g(j) be the first derivative of -j**5/130 + j**3/39 + 25*j + 66. Let f(w) be the first derivative of g(w). Factor f(v).
-2*v*(v - 1)*(v + 1)/13
Factor 0 + 36/7*w - 464/7*w**3 + 678/7*w**2 + 78/7*w**4.
2*w*(w - 3)**2*(39*w + 2)/7
Let 2/7*z**4 + 56 + 282/7*z**2 + 52/7*z**3 - 104*z = 0. What is z?
-14, 1
Factor -606568806 - 1938*l**2 - 2/3*l**3 - 1877922*l.
-2*(l + 969)**3/3
Let s(f) be the first derivative of -5*f**6/69 - 14*f**5/115 + 45*f**4/46 + 254*f**3/69 + 116*f**2/23 + 72*f/23 + 1583. Solve s(t) = 0 for t.
-2, -1, 18/5
Let m be 109/35 - (-1295)/(-925). Determine x so that -32/7 + 2/7*x**2 + m*x = 0.
-8, 2
Suppose -3*k = -8*d + 24, 0 = 38*d - 38*d - 3*k. Factor -6/5*r**2 - 2/5*r**d + 0*r + 8/5.
-2*(r - 1)*(r + 2)**2/5
Suppose -y = 2*m + 6, 3*m -