alculate u.
-2, 0
Let v(g) = -2*g - 4. Let j(p) = -2*p - 27. Let o be j(-12). Let b be v(o). Solve -19*u**3 + 2*u**2 + 3*u**4 - 2*u + 9*u**b + 7*u**4 = 0 for u.
0, 2/5, 1/2, 1
Factor 5*h**2 - 82343*h - 4*h**2 + 82367*h - 25.
(h - 1)*(h + 25)
Let t(s) = s**3 + 5*s**2 - 18*s - 17. Let c be t(-7). Factor 13*u - 5*u + 7*u**5 + 0*u**4 - c*u**5 - 20*u**2 + 12*u**3 + 4*u**4.
-4*u*(u - 1)**3*(u + 2)
Let d(c) be the third derivative of 9/56*c**4 + 0*c**3 + 0 + 0*c - 1/140*c**5 + 78*c**2. Let d(g) = 0. Calculate g.
0, 9
Suppose 0 = 3*i - 12. Suppose 3*k = 6*p - p + 14, -4*k - i*p = -72. Solve k + 4*c**2 - 13 - 4*c = 0.
0, 1
Factor 2549*k - 36 - 2295*k + 235 + 54 + k**2.
(k + 1)*(k + 253)
Let y be (2/(-4))/(245/(-457100)). Let o = y - 932. Find k such that -15/7*k**2 + 0 + 12/7*k**3 + o*k - 3/7*k**4 = 0.
0, 1, 2
Suppose -3*r + 3*o - 3 = 0, -4*o = 3*r - 3 - 22. Suppose -946 - 60*u**4 - 571*u - 8774 - 45*u**r - 2*u**5 - 3*u**5 + 2191*u + 1350*u**2 = 0. Calculate u.
-6, 3
Suppose 437*y - 411*y - 46 - 58 = 0. Let 64/5*g + 256/5 - 116/5*g**3 - 176/5*g**2 - 26/5*g**y - 2/5*g**5 = 0. What is g?
-4, -2, 1
Let k = 1141901/11 + -103809. Factor -124/11 - 126/11*y - k*y**2.
-2*(y + 1)*(y + 62)/11
Let c be (-29 - (-9073)/301) + (-183)/210*-54. Find f such that -64/5 + 23*f**3 - c*f**2 + 1/5*f**5 - 19/5*f**4 + 208/5*f = 0.
1, 8
Let y(l) = -3*l - 40. Let i(n) = -4*n - 41. Let j(r) = 2*i(r) - 3*y(r). Let b be j(-33). Suppose -5/3*v**2 - 20/3*v - b = 0. Calculate v.
-3, -1
Let m(b) = 79*b + 330. Let h be m(-4). Let y(f) be the second derivative of 1/50*f**5 + h*f + 0 + 7/3*f**3 + 11/30*f**4 + 5*f**2. Solve y(r) = 0 for r.
-5, -1
Let v(z) be the first derivative of -z**6/72 + z**5/12 + 25*z**4/8 - 35*z**3 + 36. Let f(m) be the third derivative of v(m). Determine k, given that f(k) = 0.
-3, 5
Let n be (-5 - 1263/(-240)) + -3 + 77/28. Let q(h) be the third derivative of 4*h**2 + 0*h**3 - n*h**5 + 1/80*h**6 + 0*h**4 + 0*h + 0 - 1/280*h**7. Factor q(a).
-3*a**2*(a - 1)**2/4
Suppose -39*v + 43 + 74 = 0. Factor -6*h**v + 8999*h**4 - 3*h**2 - 8996*h**4 - 6*h**2.
3*h**2*(h - 3)*(h + 1)
Let i(x) be the first derivative of 2*x**5/45 + 56*x**4/9 + 442*x**3/27 + 110*x**2/9 - 5539. Determine c so that i(c) = 0.
-110, -1, 0
Let p(y) be the first derivative of -y**6/30 + 22*y**5/25 - 13*y**4/2 + 268*y**3/15 - 229*y**2/10 + 14*y - 764. Suppose p(r) = 0. Calculate r.
1, 5, 14
Let s(u) = 4*u**2 + 407*u + 1070. Let f(m) = -6*m**2 - 614*m - 1604. Let q(z) = -5*f(z) - 8*s(z). Let q(a) = 0. Calculate a.
-90, -3
Let y(v) be the third derivative of v**5/20 + 33*v**4/2 - 134*v**3 + 9*v**2 + 16*v + 2. Factor y(k).
3*(k - 2)*(k + 134)
Let z be (-12)/(-84) - (-27)/7. Suppose 5*x - 14 = -z. Factor 2*u + 0*u**2 + 0*u + 6*u**2 - 4*u**x - 2*u**4 - 2*u**3.
-2*u*(u - 1)*(u + 1)**2
Let u(x) be the first derivative of 3*x**5/35 - 1539*x**4/28 + 219*x**3 - 4593*x**2/14 + 1530*x/7 + 12418. Factor u(z).
3*(z - 510)*(z - 1)**3/7
Let a(l) = -8*l**2 + 96*l - 182. Let o(x) = 6*x**2 - 72*x + 136. Let z(t) = -8*a(t) - 11*o(t). Factor z(s).
-2*(s - 10)*(s - 2)
Suppose -7 = 4*k + i, 5*k = 9*k - 5*i + 13. Let z(a) = -202*a - 402. Let w be z(k). Factor 0*x - 8/3 + 2/3*x**w.
2*(x - 2)*(x + 2)/3
Suppose 18*m = -2*w + 82, -4*m - 3 - 55 = -5*w. Factor -26/5*h**m + 2*h**2 + 2/5*h + 0 + 14/5*h**4.
2*h*(h - 1)**2*(7*h + 1)/5
Suppose -2/3*l**5 + 0 - 16/15*l**3 - 44/5*l**2 + 26/15*l + 44/5*l**4 = 0. What is l?
-1, 0, 1/5, 1, 13
Let m(c) = 2*c**2 - 7*c + 9. Let j be m(2). Solve -2*z**4 - 4*z**j + 3*z**3 + 120*z - 50 + 25*z**3 - 92*z**2 = 0.
1, 5
Let h(k) = -13*k**2 + 22*k - 29. Let v(m) = 72*m**2 - 120*m + 160. Let l be 155/(-31)*56/10. Let g be (-7 + 2)/(-1)*-1. Let x(p) = g*v(p) + l*h(p). Factor x(t).
4*(t - 3)*(t - 1)
Find m such that -21*m - 39/5*m**3 + 18/5 + 126/5*m**2 = 0.
3/13, 1, 2
Let l be (-425)/275 + 30/(0 - -6). Factor 68/11 - l*u + 2/11*u**2.
2*(u - 17)*(u - 2)/11
Let t(a) be the second derivative of -34*a + 0*a**3 + 5/2*a**4 - 3/20*a**5 + 0*a**2 + 0. Solve t(b) = 0.
0, 10
Suppose -86*t + 81*t = 0. Let y(o) be the first derivative of 4/15*o**5 + 0*o**2 - 16/9*o**3 + t*o + 6*o**4 - 4 - o**6. Let y(j) = 0. Calculate j.
-2, 0, 2/9, 2
Let u(s) be the first derivative of 25/3*s**3 + 107 + s**5 + 0*s**2 + 0*s - 15/2*s**4. Let u(w) = 0. What is w?
0, 1, 5
Let y(x) be the third derivative of x**9/21168 - x**8/5880 + x**6/1260 - x**5/840 + x**3/3 - x**2 - 53*x. Let z(t) be the first derivative of y(t). Factor z(g).
g*(g - 1)**3*(g + 1)/7
Let j(b) = -2*b**2. Let w be 13/(-13)*(0 + 1). Let h(n) = -19*n**2 + 2*n. Let z(y) = w*h(y) + j(y). Factor z(u).
u*(17*u - 2)
Let d = 4331 + -4328. Let i(s) be the second derivative of -1/20*s**5 + 20*s + 0*s**2 + 0 + 0*s**4 + 1/6*s**d. Factor i(r).
-r*(r - 1)*(r + 1)
Let n(h) be the first derivative of -2/3*h**2 - 1/9*h**3 - 33 - 4/3*h. Factor n(l).
-(l + 2)**2/3
Let p(v) be the third derivative of v**5/60 - 221*v**4/12 + 147*v**3/2 + 3625*v**2. Factor p(m).
(m - 441)*(m - 1)
Let q be 392*-6*(-3)/36. Let i(y) be the first derivative of q*y - 4 - 28*y**2 + 4/3*y**3. Find k such that i(k) = 0.
7
Let x(q) be the second derivative of -19*q**4/3 - 22*q**3/15 + 2*q - 1884. What is b in x(b) = 0?
-11/95, 0
Let f(n) be the second derivative of 1/6*n**5 + n + 1/90*n**6 - 33 - 5/9*n**3 - 8/3*n**2 + 5/12*n**4. Let f(i) = 0. What is i?
-8, -2, -1, 1
Let d(a) = 9*a**2 - 101 - 5*a + 38 + 6*a**2 + 48 + 5*a**3. Let q(f) = 10*f**3 + 30*f**2 - 10*f - 30. Let s(p) = 9*d(p) - 4*q(p). Factor s(o).
5*(o - 1)*(o + 1)*(o + 3)
Suppose 36*s = -30*s + 10*s. Let g(t) be the third derivative of 1/10*t**5 + 0*t + 1/12*t**4 + 0*t**3 + s - 22*t**2. Find w, given that g(w) = 0.
-1/3, 0
Let a(o) be the first derivative of -2*o**3/27 - 1582*o**2/9 - 1251362*o/9 - 547. Factor a(m).
-2*(m + 791)**2/9
Let w = -2455 + 2457. Let c(p) be the second derivative of 2/9*p**4 + 16*p - 1/12*p**5 - 1/6*p**3 + 0 + 0*p**w. Find d such that c(d) = 0.
0, 3/5, 1
Let x(u) = 87*u**2 + 32*u - 33. Let f be x(1). Suppose 3 = f*d - 85*d. Factor 1/4*v**4 + 0*v + 1/4*v**2 - 1/2*v**d + 0.
v**2*(v - 1)**2/4
Suppose 3*g - 4*m + 36 = 6, -4*m + 20 = -2*g. Let y be (-4)/g*(159/12 + -12). Factor 0 - 3/4*o**2 - 1/4*o**3 - y*o.
-o*(o + 1)*(o + 2)/4
Let v = -12505 - -837871/67. Let c = v - 118/469. Find j such that 16/7*j + c*j**2 + 32/7 = 0.
-4
Let n = 3400 - 6799/2. Let d(a) be the second derivative of 0 + 1/2*a**3 - 3/20*a**5 + n*a**4 - 3*a**2 - 11*a. Factor d(k).
-3*(k - 2)*(k - 1)*(k + 1)
Let t be (-68)/2*(6/(-12) + -5). Suppose -6*z - 2*b = -z - t, 73 = 2*z - b. Find y such that -z*y - 116*y + 36*y**2 + 30*y + 192 - 21*y - 3*y**3 = 0.
4
Let h(k) = 15*k**3 + 1360*k**2 - 2790*k - 4140. Let u(n) = -23*n**3 - 2040*n**2 + 4185*n + 6210. Let f(b) = 8*h(b) + 5*u(b). Factor f(x).
5*(x - 3)*(x + 1)*(x + 138)
Let q be (99/(-330))/((-72)/20). Let r(y) be the third derivative of q*y**3 - 1/80*y**5 + 0*y + 1/96*y**4 + 0 + 15*y**2. Suppose r(h) = 0. Calculate h.
-2/3, 1
Suppose 93 = -4*h - 5*k + 253, -120 = -3*h + k. Suppose -4*a**5 + 17*a**3 - 23*a**3 + 48*a**4 - 35*a**3 - h - 39*a**3 + 84*a - 8*a**2 = 0. What is a?
-1, 1, 10
Let v(f) be the second derivative of 10*f**7/21 + 13*f**6/10 - 31*f**5/10 + f**4/4 - 8*f - 267. Solve v(a) = 0.
-3, 0, 1/20, 1
Let v(i) = 16*i + 66. Let f = 84 - 88. Let r be v(f). Let -x + 1/4*x**r + 3/4 = 0. What is x?
1, 3
Let t(l) be the second derivative of l**4/66 + 38*l**3/33 - 24*l**2 - 3*l - 102. Factor t(h).
2*(h - 6)*(h + 44)/11
Suppose 214*v - 60 = 204*v. Suppose 53*s + v = 56*s. Solve 92*u**s + 10/3*u**4 + 64/3 + 256/3*u + 94/3*u**3 = 0 for u.
-4, -1, -2/5
Factor -224/5*h - 226/5 + 2/5*h**2.
2*(h - 113)*(h + 1)/5
Let s(m) be the third derivative of m**6/780 + 292*m**5/65 + 85264*m**4/13 + 199176704*m**3/39 - 6543*m**2. Factor s(p).
2*(p + 584)**3/13
Let 686/13*n**2 + 72 - 6/13*n**3 + 1864/13*n = 0. Calculate n.
-2, -2/3, 117
Let a(p) be the first derivative of -7*p**3/9 - 3590*p**2/3 + 684*p - 7257. Determine q so that a(q) = 0.
-1026, 2/7
Suppose s**2 + 26*s**2 - 52 + 53*s - 11*s**2 - 5*s**2 - 12*s**2 = 0. Calculate s.
1, 52
Let z = -4/6541 - -6557/26164. Let c(q) be the first derivative of -z*q**2 - 5 + 0*q + 5/12*q**3 - 1/4*q**5 + 5/16*q**4 - 1/8*q**6. What is o in c(o) = 0?
-2, -1, 0, 1/3, 1
Let l(n) = 3*n**5 + 2*n**4 - n**