 + 0 + 2/23*g**5.
2*g*(g - 1)**2*(g + 1)**2/23
Find y such that 4*y**2 - 77/2*y + 98 - 1/8*y**3 = 0.
4, 14
Let v(o) be the second derivative of o**7/1120 - o**6/120 + 3*o**5/160 - 5*o**3/3 + 13*o. Let l(y) be the second derivative of v(y). What is n in l(n) = 0?
0, 1, 3
Let k(v) = v**2 + 4*v - 7. Let t be k(-6). Suppose -25 = t*s, 0 + 17 = y - 3*s. Factor 8*q**4 + 12*q**3 - q - 80*q**2 + 2*q**5 + 88*q**y + 3*q.
2*q*(q + 1)**4
Suppose 0 = f - 3*f. Let h be 175/105*2/10. Factor f - h*n**2 + n.
-n*(n - 3)/3
Let c(p) be the third derivative of -p**6/40 + 31*p**4/8 + 15*p**3 + 934*p**2. Factor c(j).
-3*(j - 6)*(j + 1)*(j + 5)
Let g(r) = r**3 + 8*r**2 - 7*r + 21. Let x be g(-9). Solve x*f - 2 - 1 - 3*f**2 + 2 + 7 = 0.
-1, 2
Let p be (0/(0 - 2))/(-2). Let n(v) be the first derivative of 2/9*v**3 + p*v - 8 - v**2. Suppose n(z) = 0. Calculate z.
0, 3
Let y(m) = 7*m**3 + 21*m**2 + 21*m + 7. Let s(k) = 8*k**3 + 22*k**2 + 20*k + 6. Let d(g) = -5*s(g) + 6*y(g). Find a such that d(a) = 0.
-6, -1
Let k(s) = -55*s**2 + 2750*s + 383665. Let q(j) = -3*j**2 - j + 1. Let l(z) = -k(z) + 20*q(z). What is m in l(m) = 0?
-277
Let t be 33/(-22)*(-20)/210. Factor 0 + 3/7*x**2 - 3/7*x**4 + 1/7*x**5 - 2/7*x + t*x**3.
x*(x - 2)*(x - 1)**2*(x + 1)/7
Let l(k) = 3*k**3 - 5*k**2 + 2*k - 5. Suppose 3*i + 8 = -i. Let a(p) = p**3 - 2*p**2 + p - 2. Let m(b) = i*l(b) + 5*a(b). Solve m(x) = 0.
-1, 0, 1
Find y, given that 57*y**3 - 15 - 54*y**3 + 33*y - 10*y**2 - 11*y**2 = 0.
1, 5
Suppose 3*z - 2*z + 1 = 0, -4*l - 3 = 3*z. Let j(t) be the second derivative of 1/3*t**3 + l - 6*t + 2/3*t**2 + 1/18*t**4. Determine f so that j(f) = 0.
-2, -1
Suppose -11/5*p - 24/5 - 1/5*p**2 = 0. Calculate p.
-8, -3
Let u(x) be the first derivative of -1/2*x**6 - 9/5*x**5 + 0*x**3 + 0*x**2 + 0*x - 3/2*x**4 + 8. Solve u(n) = 0 for n.
-2, -1, 0
Let -40/3*f + 0 + 4/9*f**2 = 0. What is f?
0, 30
Let x(u) be the second derivative of -u**7/420 + u**6/60 + u**5/100 - u**4/12 - u**3/60 + u**2/4 + 2*u + 446. Solve x(w) = 0.
-1, 1, 5
Let d be 5/220*(-3 + 7 + 0). Let i(t) be the first derivative of 0*t**2 - 11 - d*t**6 + 0*t - 4/33*t**3 + 4/55*t**5 + 3/22*t**4. Suppose i(y) = 0. What is y?
-1, 0, 2/3, 1
Suppose 5*w = 29 + 1. Suppose -5*t**2 - 15*t - 6*t**4 - w*t**4 + 0*t + 17*t**4 + 15*t**3 = 0. Calculate t.
-3, -1, 0, 1
Let j(t) be the second derivative of -t**7/945 + t**5/90 + t**4/54 + 19*t**2/2 + 5*t. Let k(h) be the first derivative of j(h). What is g in k(g) = 0?
-1, 0, 2
Let x(s) be the second derivative of -1/40*s**5 - 6*s + 0 - 1/4*s**2 + 1/12*s**3 + 1/24*s**4. Factor x(f).
-(f - 1)**2*(f + 1)/2
Let r(d) be the second derivative of -1/12*d**2 - 1/180*d**6 - 1/60*d**5 - 7*d + 1/36*d**3 + 1/36*d**4 + 0 + 1/252*d**7. Determine y, given that r(y) = 0.
-1, 1
Let v(n) be the third derivative of 14*n**2 + 0 - 1/108*n**4 + 1/270*n**5 + 0*n + 0*n**3. Factor v(q).
2*q*(q - 1)/9
Let u = 1/14 - -3/7. Let g = 1/72 + 107/72. Suppose 1/2*l**4 + 3/2*l - 1 + u*l**2 - g*l**3 = 0. Calculate l.
-1, 1, 2
Let l = -39 + 43. Suppose l*z + 12 = -4*g, 5*z + 0 = -3*g - 19. What is b in -2/13*b - 2/13 + 2/13*b**3 + 2/13*b**g = 0?
-1, 1
Suppose 2*t - 6 = -t. Let l be (8/5)/4 - 4/10. Let 2*s**3 + l*s**5 + t*s**5 - 2*s**5 - 4*s**4 + 2*s**5 = 0. What is s?
0, 1
Let j(q) be the second derivative of 2*q**6/15 - 4*q**5 + 40*q. Let j(t) = 0. What is t?
0, 20
Let w(h) be the second derivative of 1/60*h**6 - 2/3*h**3 + 0 + h + 1/2*h**4 - 3/20*h**5 + 0*h**2. Factor w(g).
g*(g - 2)**3/2
Let w be (-3)/(6/10)*(572/20 + -29). Factor 20/9 - 22/9*g + 2/3*g**w.
2*(g - 2)*(3*g - 5)/9
Let r(p) = 13*p**3 + 20*p**2 - 8. Let h(n) = 15*n**3 + 20*n**2 - 10. Let j(x) = -4*h(x) + 5*r(x). Let j(b) = 0. Calculate b.
-4, 0
Let u = 3900 + -3898. Solve 2/3*w**u + 0*w + 0 = 0 for w.
0
Let w be (-2)/4*(-13 + 16/64*52). Factor w*d**2 + 4/13*d**3 + 0*d - 6/13*d**4 + 0.
-2*d**3*(3*d - 2)/13
Let l(x) be the third derivative of x**5/20 + 109*x**4/4 + 11881*x**3/2 - 134*x**2. Factor l(p).
3*(p + 109)**2
Suppose 2*i + 11 = -5*g, -3*i + 7 = 2*i + g. Factor 1225*v + 3*v**i + 0*v**2 + 3 - 1231*v.
3*(v - 1)**2
Let n = 155/342 - 1/114. Let s(x) = -x**3 - 8*x**2 - 13*x - 3. Let k be s(-6). Factor n*q**k + 0 + 0*q - 2/9*q**4 - 2/9*q**2.
-2*q**2*(q - 1)**2/9
Solve 0 + 8/7*z + 2/7*z**2 = 0.
-4, 0
Let c(t) be the second derivative of -t**7/1575 + t**6/900 - 25*t**2/2 - 26*t. Let d(l) be the first derivative of c(l). Let d(y) = 0. Calculate y.
0, 1
Let v(x) be the third derivative of 5*x**8/336 + x**7/42 - x**6/8 - x**5/12 + 5*x**4/12 + 3*x**2 + 3*x. Factor v(b).
5*b*(b - 1)**2*(b + 1)*(b + 2)
Let m be 63/18 - 2/(-4). Let y(l) be the third derivative of 1/30*l**5 + 0*l + 6*l**2 + 0 + 1/240*l**6 + 1/6*l**3 + 5/48*l**m. Determine q, given that y(q) = 0.
-2, -1
Let q(w) = -8*w**3 - 29*w**2 + 18*w + 60. Let d(z) = 2*z**3 + 10*z**2 - 6*z - 20. Let y(c) = 7*d(c) + 2*q(c). Determine l, given that y(l) = 0.
-1, 2, 5
Let p = -20 + 18. Let k(q) = -3*q - 2. Let x be k(p). Find c such that -4*c**4 + 0*c**4 - 5*c**x + 3*c**5 + 6*c**3 = 0.
0, 1, 2
Let q(y) be the third derivative of -4/3*y**3 - 1/30*y**6 - 27*y**2 + 0*y - 8/105*y**7 - 5/6*y**4 + 0 + 4/5*y**5. Determine j, given that q(j) = 0.
-2, -1/4, 1
Let v(u) be the first derivative of 13/8*u**4 + 1/12*u**6 - 2*u**3 - 3/5*u**5 + u**2 + 26 + 0*u. Find h, given that v(h) = 0.
0, 1, 2
Let l(u) be the third derivative of -u**7/525 + u**6/10 - 19*u**5/50 + 7*u**4/15 - 655*u**2. Factor l(w).
-2*w*(w - 28)*(w - 1)**2/5
Suppose 0 = 5*k - b + 3, -2*k = -14*b + 16*b - 6. Factor -2/9*a**3 - 8/9*a + k - 8/9*a**2.
-2*a*(a + 2)**2/9
Let z be (-10)/(-13 + 232/24). Factor 0*d + 0 - 1/6*d**4 - 1/3*d**z - 1/6*d**2.
-d**2*(d + 1)**2/6
Let f = -2/1741 + 1993/219366. Let b(z) be the second derivative of 0*z**2 + 0 - 2*z + 0*z**3 - f*z**7 - 1/60*z**5 + 0*z**4 + 1/45*z**6. Factor b(p).
-p**3*(p - 1)**2/3
Let r(w) be the first derivative of -w**6/180 + w**4/12 + 2*w**3/9 + w**2/4 - 4*w - 13. Let k(b) be the first derivative of r(b). Suppose k(y) = 0. What is y?
-1, 3
Let r be 1 - 8/(-4) - (-2)/2. Let n be 3*(-2)/(-4) + -1. Let 1/2*k**3 - 1/4*k**r + 0*k**2 - n*k + 1/4 = 0. What is k?
-1, 1
Let z(c) be the first derivative of -5*c**3/3 + 105*c**2/2 - 107. Factor z(i).
-5*i*(i - 21)
Let k(w) = w**3 + w**2 - 2*w + 19. Let l be k(0). Suppose -36 = -l*u + 16*u. Suppose 43*q**3 - 5 + 165*q**2 + 257*q**3 - 2 - 5 - u*q = 0. What is q?
-2/5, 1/4
Let x(f) = 15*f**5 + 6*f**4 + 11*f. Let t(k) = 3*k**5 + k**4 + 2*k. Suppose 2*c = -2*c - 132. Let g(q) = c*t(q) + 6*x(q). Factor g(z).
-3*z**4*(3*z - 1)
Let l(r) be the first derivative of 6*r**2 - 12 - 8*r**3 + 0*r + 15/4*r**4 - 3/5*r**5. Find x such that l(x) = 0.
0, 1, 2
Let 25*n**2 - 975*n + 1041*n - 3*n**3 + 2*n**2 = 0. What is n?
-2, 0, 11
Find q such that 1/8*q**3 + 121/2*q + 11/2*q**2 + 0 = 0.
-22, 0
Let -88*n - 7438*n**3 + 4 + 486*n**4 + 886*n**4 + 672*n**2 + 5478*n**3 = 0. Calculate n.
1/7, 1
Let q(g) be the second derivative of -g**4/8 + 11*g**3/4 + 9*g**2 + 2*g + 142. Determine a so that q(a) = 0.
-1, 12
Solve -4 + 14/9*g + 2/9*g**2 = 0 for g.
-9, 2
Let p = 96401/88418 - -5/8038. Let x be ((-4)/55)/((-4)/10). Factor x*n + 26/11*n**3 + 8/11*n**5 + p*n**2 + 24/11*n**4 + 0.
2*n*(n + 1)**2*(2*n + 1)**2/11
Suppose o + o = f - 17, 2*o = 4*f - 74. Let g = -12 + f. Suppose 3*d**3 - 3*d + 5*d + 1 + g*d + 2 + 9*d**2 = 0. What is d?
-1
Let l(r) = -29*r - 1. Let y be l(-1). Let p(b) = b**3 + 10*b**2 - 8*b + 35. Let x be p(-11). Factor -4*m**x + y*m**3 + 2*m**2 - 2*m**4 - 24*m**3.
-2*m**2*(m - 1)**2
Suppose 58*p - 9*p + 3*p - 208 = 0. Solve 14/13*k**p - 8/13*k**5 + 0 + 0*k**2 + 4/13*k**3 + 0*k = 0.
-1/4, 0, 2
Let m(u) be the first derivative of u**6/105 + u**5/35 - u**4/42 - 2*u**3/21 - 24*u - 26. Let o(a) be the first derivative of m(a). Factor o(q).
2*q*(q - 1)*(q + 1)*(q + 2)/7
Let k be (-1 - 35/(-8)) + 132/(-352). Let l(h) be the second derivative of 0 + 1/18*h**4 - 1/10*h**5 - 1/3*h**2 + 4*h + 1/3*h**k. Factor l(j).
-2*(j - 1)*(j + 1)*(3*j - 1)/3
Let x(h) be the third derivative of h**8/47040 - h**7/3920 + h**6/840 + h**5/60 - 9*h**2. Let n(i) be the third derivative of x(i). What is b in n(b) = 0?
1, 2
Suppose 0 = -4*r + 16, -5*y + 2*y - 1 = -r. Let c be y/4 - (-11)/4. Factor 11*x**c - 3*x**2 + 6*x + 0*x - 17*x**3 + 3.
-3*(x -