**3 + 0*b + i - 2*b**4. Suppose t(c) = 0. Calculate c.
-1, -1/2, 0, 1, 2
Let b(f) be the first derivative of -4*f**3/27 - 58*f**2/9 - 88*f - 3715. Let b(d) = 0. What is d?
-18, -11
Suppose 123 = -4*n - 7*b + 12*b, n - 4*b = -39. Let w be (-1)/(1 + n/18). Factor -5/3*o + 5/3*o**3 - 10/3*o**w + 10/3.
5*(o - 2)*(o - 1)*(o + 1)/3
Let h be -3 - (-15 + (0 - -7)). Suppose k + 2*a = -0*k, h*a = -4*k. What is g in 1/2*g**3 + k*g - 1/2*g**2 + 0 = 0?
0, 1
Find j, given that 38*j + 0 + 2/5*j**2 = 0.
-95, 0
Let d(n) be the first derivative of -43 + 0*n + 8/11*n**3 - 3/22*n**4 + 15/11*n**2. Factor d(w).
-6*w*(w - 5)*(w + 1)/11
Solve 1185/4*n + 7/4*n**4 - 225/2 + 1423/4*n**2 - 205/4*n**3 = 0.
-1, 2/7, 15
Let i = -9405 + 9408. Let o(u) be the first derivative of 12 + 1/2*u**i + 0*u**2 - 3/2*u. Find h such that o(h) = 0.
-1, 1
Suppose -5*i - 1 = o - 3200, 5 = -5*o. Let b = -634 + i. Factor -b*g**2 - 3*g**4 + 0 - 15/2*g**3 - 3/2*g.
-3*g*(g + 1)**2*(2*g + 1)/2
Let v(s) be the second derivative of 5*s**4/48 - 247*s**3/4 + 74*s**2 + 2*s + 4. Factor v(y).
(y - 296)*(5*y - 2)/4
Let c(h) be the third derivative of -29 + 0*h + 1/36*h**4 + h**2 - 1/180*h**6 + 0*h**3 - 1/90*h**5 + 1/315*h**7. Factor c(v).
2*v*(v - 1)**2*(v + 1)/3
Let w(x) be the third derivative of -x**5/15 - 154*x**4 - 142296*x**3 - 3*x**2 + 33. Factor w(m).
-4*(m + 462)**2
Let s(l) be the third derivative of l**5/210 + 41*l**4/84 + 116*l**3/7 - 1598*l**2 + 5. Solve s(b) = 0 for b.
-29, -12
Let w(c) be the first derivative of -c**6/45 + 76*c**5/75 - 7*c**4/6 - 148*c**3/45 - 721. Suppose w(h) = 0. Calculate h.
-1, 0, 2, 37
Suppose 332 = -u - 3*u. Let t = -81 - u. Factor 0 + 2/13*x - 2/13*x**t.
-2*x*(x - 1)/13
Factor -3/4*k + 1/4 - 7*k**2.
-(4*k + 1)*(7*k - 1)/4
Suppose -81/5*i + 1/5*i**5 + 54/5 - 8/5*i**4 + 18/5*i**2 + 16/5*i**3 = 0. Calculate i.
-2, 1, 3
Let b(g) = g**3 - 21*g**2 + 4*g + 147. Let v be b(22). Let q = 719 - v. Determine m so that -9/2*m**3 + 3/2*m**2 - 3/2*m**4 + q + 9/2*m = 0.
-3, -1, 0, 1
Suppose 66*k + 77 = 72*k + 5*n, 5*n - 67 = -k. Factor -3*l + 5/2 + 1/2*l**k.
(l - 5)*(l - 1)/2
Let n be ((-12)/81)/((-14)/126*2). Let s = -106/9 + 12. Find z, given that 10/9*z - s*z**3 - n - 2/9*z**2 = 0.
-3, 1
Suppose 5*k - 4*p = k - p, 0 = 2*k + p. Let m(y) be the third derivative of 0 + k*y**5 - 1/76*y**4 - 20*y**2 + 0*y + 1/1140*y**6 + 2/57*y**3. Factor m(a).
2*(a - 1)**2*(a + 2)/19
Let f(h) be the third derivative of -3/10*h**5 - 15*h**2 + 0*h**3 + 2 + 1/60*h**6 - 5/6*h**4 + 0*h. Factor f(w).
2*w*(w - 10)*(w + 1)
Let k be (-19 + 21)/(2 + (-9 - -10)/(-1)). Factor 1/6*u**k - 2/3 - 1/6*u**3 + 2/3*u.
-(u - 2)*(u - 1)*(u + 2)/6
Let m be -1 + 77 - (-30)/(6 - 11). Suppose m = 34*y - 32. Solve 2/9*s**5 + 4/9*s**4 + 8/9*s + 0 - 2/3*s**y - 8/9*s**2 = 0 for s.
-2, 0, 1
Let u = 63 + 252. Suppose -12*w = -3*w - u. Determine z, given that -48 - 19*z**3 - 6*z**3 + 99 + w*z**2 - 50 - 11*z = 0.
1/5, 1
Let n(b) be the second derivative of b**4/4 + 56*b**3 - 339*b**2/2 + 2*b - 240. Factor n(c).
3*(c - 1)*(c + 113)
Solve -2948089/2 - 1717*u - 1/2*u**2 = 0.
-1717
Let l(g) = 12 - 34 + 10 - g + 11. Let f(v) = 35*v**4 + 25*v**3 - 10*v**2 - 3*v - 3. Let p be (-196)/(-68) - 6/(-51). Let b(d) = p*l(d) - f(d). Factor b(m).
-5*m**2*(m + 1)*(7*m - 2)
Let i(b) = 58*b**2 + 250*b + 246. Let h(p) = -10*p**2 - p. Let u(m) = -12*h(m) - 2*i(m). Let u(l) = 0. What is l?
-1, 123
Let j(n) be the first derivative of 2*n**3/27 + 527*n**2/9 - 352*n/3 - 1172. Factor j(d).
2*(d - 1)*(d + 528)/9
Let h = 383586 + -383586. Let 64/9*n**2 + 0*n + h + 2/3*n**5 + 106/9*n**4 + 164/9*n**3 = 0. What is n?
-16, -1, -2/3, 0
Let r = 7140 - 7136. Let h(z) be the third derivative of 0*z**4 - 37/360*z**6 + r*z**2 + 1/90*z**7 + 0*z + 0*z**3 + 0 + 1/18*z**5. Factor h(w).
w**2*(w - 5)*(7*w - 2)/3
Let f(k) = -11*k**2 + 8*k - 482. Let u(s) = -28*s**2 + 20*s - 963. Let y(x) = 5*f(x) - 2*u(x). Solve y(g) = 0.
-22, 22
Let f = -146 + 149. Let i(v) = v**2 - 27*v - 25. Let j(u) = -4*u**2 + 82*u + 76. Let o(r) = f*j(r) + 10*i(r). Factor o(h).
-2*(h + 1)*(h + 11)
Let l be ((-88)/(-14))/(6/(-126)*-3). Suppose 35*m - 24*m = l. Determine v so that 92/3*v - 343/3*v**m + 637/3*v**3 - 126*v**2 - 8/3 = 0.
2/7, 1
Let d(i) be the second derivative of -i**7/28 + 3*i**6/10 - 27*i**5/40 + 1281*i. Solve d(n) = 0.
0, 3
Let k(h) be the second derivative of 23*h**4/24 + 47*h**3/12 + h**2/2 + 13*h - 5. Factor k(m).
(m + 2)*(23*m + 1)/2
Let c(t) = 5*t - 6. Let o be c(6). Suppose -21*f = -o*f + 9. Factor 20*k**3 + 13*k**f + 70*k**2 - 64*k**2.
3*k**2*(11*k + 2)
Determine z, given that 368/19*z + 4232/19 - 98/19*z**4 - 1334/19*z**3 - 2/19*z**5 - 3166/19*z**2 = 0.
-23, -2, 1
Let k(c) be the first derivative of -9*c**5/20 - 97*c**4/4 - 400*c**3 - 384*c**2 - 155*c + 58. Let a(v) be the first derivative of k(v). Factor a(l).
-3*(l + 16)**2*(3*l + 1)
Let g be 63/36 - 1/(-4). Let f = 2 + 1. What is w in 12 + 91*w**2 + 4*w**3 - 58*w**g - f*w - 45*w**2 - w = 0?
-1, 1, 3
What is g in 361*g**2 + 9/2*g**4 + 84 - 173/2*g**3 - 454*g = 0?
2/9, 2, 3, 14
Let o(n) be the first derivative of n**3/24 - 8*n**2 + 127*n/8 + 605. Factor o(i).
(i - 127)*(i - 1)/8
Let o(h) = h - 1. Let r(z) = z**4 + 39*z**3 + 37*z**2 - 43*z - 34. Suppose -4*d + 12 = -4*x + 3*x, -3*d = 4*x - 28. Let t(n) = x*o(n) + r(n). Factor t(k).
(k - 1)*(k + 1)**2*(k + 38)
Let a(o) = 10*o**2 + 13*o - 8. Suppose 3*l + 35 = -121. Let s(u) = -42 + 46 + 33*u**2 - 123*u**2 + 68 - 118*u. Let i(z) = l*a(z) - 6*s(z). Factor i(c).
4*(c + 2)*(5*c - 2)
Suppose -3432*d - 1472/3 + 98/3*d**3 - 5992*d**2 = 0. Calculate d.
-2/7, 184
Factor 9*h**3 - 1719*h**2 - 1368*h**2 - 1197*h**2 - 6*h**3.
3*h**2*(h - 1428)
Let k(f) = 34*f + 4. Let r = 3 - 1. Let o be k(r). What is a in 40*a - 53*a - 28*a**3 - 122*a**2 - o - 155*a - 2*a**4 = 0?
-6, -1
Let c(a) be the first derivative of a**3 - 27*a + 22. Let u be c(15). Factor 100*v + u - v**3 + 54*v**2 + 4*v**3 + 224*v.
3*(v + 6)**3
Factor -19319328 - 17490*u - 6*u**2 + 4*u**2 + 29922*u.
-2*(u - 3108)**2
Let j(m) = -16*m**2 - 1522*m - 570022. Let h(l) = 53*l**2 + 4570*l + 1710065. Let x(p) = 3*h(p) + 10*j(p). Determine i so that x(i) = 0.
-755
Suppose 48 = 15*a - 11*a. Suppose 4*j = a, -b = -3*j + 7 - 0. Find k, given that 3*k**4 - 19*k**2 - 64 - 7*k**4 - 93*k**b + 36*k**3 + 144*k = 0.
1, 2, 4
Let r = 735246 + -12499180/17. Factor -450/17 + 390/17*t + r*t**3 + 58/17*t**2.
2*(t - 1)*(t + 15)**2/17
Let h(d) = d**4 + d**3 + 2*d**2. Let m(y) = -7*y**4 + 383*y**3 - 2159*y**2 + 1775*y. Let f(u) = -2*h(u) - m(u). Let f(r) = 0. Calculate r.
0, 1, 5, 71
Let g(b) = -2*b**3 - 3*b**2 + b - 1. Let p(x) = 8*x**3 + 186*x**2 - 171*x + 47. Let z(d) = 6*g(d) + p(d). Factor z(a).
-(a - 41)*(2*a - 1)**2
Let k(o) = o**3 - 68*o**2 + o - 67. Let y be k(68). Let a be 3 + (y/(-2) - 20/40). Factor 20/3*z - 5 - 5/3*z**a.
-5*(z - 3)*(z - 1)/3
Let w(a) = -a**3 - 13*a**2 + 15*a + 20. Let m be w(-14). Suppose -12*d**4 + 0*d**5 + 4*d**4 + 11*d**4 + m*d**5 = 0. Calculate d.
-1/2, 0
Factor 116/9 + 2/9*i**2 + 118/9*i.
2*(i + 1)*(i + 58)/9
Let a(u) be the second derivative of -u**6/135 - 13*u**5/45 - 22*u**4/9 - 248*u**3/27 - 160*u**2/9 - 1579*u - 1. Suppose a(z) = 0. Calculate z.
-20, -2
Let h be (2/(-10))/((-17)/170). Find u such that 113*u - 8*u**h + 3*u**2 - 113*u + 5 + 0*u**2 = 0.
-1, 1
Factor -1/3*s**2 + 52/3 + 8*s.
-(s - 26)*(s + 2)/3
Let n be 1489 + -1455 + (-438)/15. Solve 6/5*o**2 + 24/5*o - 6/5*o**3 - n = 0.
-2, 1, 2
Let r(s) = s. Let g(f) = -f**2 - 12*f - 30. Let u be g(-7). Let m(v) = -5*v**2 + 15*v - 5. Let h(k) = u*r(k) - m(k). Find p such that h(p) = 0.
1
Let p(z) = 3*z**2 - z + 2. Let q be p(7). Factor -8*o - 16 + 276*o**3 - 140*o**3 - q*o**3 + 20*o**2.
-2*(o - 2)**2*(3*o + 2)
Suppose -222*g + 233*g = 22. Factor -2*k**2 - 3*k**g + 3*k**2 - 39*k - 4*k + 17*k + 28.
-2*(k - 1)*(k + 14)
Suppose -17*r - 2*c - 32 = -18*r, 0 = -3*r + 5*c + 91. Let m be 314/154 + r/(-121). Factor 6/7*x + 12/7*x**3 - 4/7*x**4 - 1/7 - m*x**2.
-(x - 1)**2*(2*x - 1)**2/7
Let y(j) = 9*j**2 + 1. Let g be y(-1). Let d be 4 - (-13)/2*g/4. Factor 0 + 21/4*q**4 - 3*q + 18*q**2 + d*q**3.
3*q*(q + 2)**2*(7*q - 1)/4
Let x = 3532 + -3530. Let f(q) be the second derivative of 5/3*q**4 - 2*q**3 - 18*q + 0 - 8*q**x - 2/15*q**6 + 3/5*q**5. Factor f(y).
-4*(y - 4)*(y - 1)*(y + 1