*4 + t**4 = 0 for t.
-2, -1, 0
Solve 7*m**4 + 0 + 70*m**2 - 50*m - 69/2*m**3 - 1/2*m**5 = 0 for m.
0, 2, 5
Factor -132*j - 21*j**2 - 3/4*j**3 - 240.
-3*(j + 4)**2*(j + 20)/4
Factor 60/11*p - 6/11*p**2 - 54/11.
-6*(p - 9)*(p - 1)/11
Let z(y) be the second derivative of 1/7*y**7 + 8/5*y**5 + 4/5*y**6 - 4*y + 40/27*y**4 + 0*y**2 + 16/27*y**3 + 0. Factor z(o).
2*o*(o + 2)*(3*o + 2)**3/9
Let k(y) be the first derivative of -y**4/24 - 7*y**3/6 - 19*y**2/6 + 58. What is l in k(l) = 0?
-19, -2, 0
Suppose 0 = -4*u - 3*w - 8, 20*w - 16 = 24*w. Let -5/2*r**2 + u + 3/2*r = 0. What is r?
-2/5, 1
Let r(c) = 4 + 0 + 2*c**3 + 6*c**2 + 2*c**3. Let p(a) = -1 + 24*a**3 + 0*a - a**2 - 25*a**3 + a + 0*a**2. Let d(o) = -3*p(o) - r(o). Factor d(g).
-(g + 1)**3
Let n(k) be the third derivative of 3*k**8/140 + k**7/35 - 17*k**6/150 + k**5/10 - k**4/30 + 362*k**2. Let n(s) = 0. Calculate s.
-2, 0, 1/3, 1/2
Let b(j) be the third derivative of -1/1344*j**8 - 1/140*j**7 + 0*j - 7/240*j**6 - 1/12*j**3 + 0 - 3/32*j**4 - 1/15*j**5 + 27*j**2. Factor b(x).
-(x + 1)**4*(x + 2)/4
Suppose 137*c - 79 = 332. Suppose 2/7 - 2/7*t**2 + 2/7*t - 2/7*t**c = 0. Calculate t.
-1, 1
Let m(q) be the third derivative of q**5/20 + q**4/2 - 5*q**3/2 + 3*q**2 + 1. Determine v, given that m(v) = 0.
-5, 1
Let l = 4184/25077 + -3/16718. Factor 1/6 + 1/6*n - 1/6*n**2 - l*n**3.
-(n - 1)*(n + 1)**2/6
Let j = 21 - 26. Let n = j + 7. Factor -3*v**3 + n*v**3 - v**2 - 3*v**2 + 3*v**3 + 2*v.
2*v*(v - 1)**2
Let r = 172 - 170. Let q = 2/15 + 11/30. Factor q*g**r + 1/4*g**3 + 0 + 1/4*g.
g*(g + 1)**2/4
Let b(p) be the second derivative of -7*p**4/30 + 2*p**3/5 + p**2/5 + 45*p + 2. Factor b(d).
-2*(d - 1)*(7*d + 1)/5
Determine t so that 18*t + 10/3*t**2 + 20/3 = 0.
-5, -2/5
Suppose 5*t - 4*w = -45, 6*t - 4*t - 2*w + 20 = 0. Let c be (-6)/(-10)*(0 - t). Find d, given that d**3 - 5 + 0*d**c + 3*d**2 + 1 = 0.
-2, 1
Let a(w) be the second derivative of w**6/60 + w**5/20 - 5*w**4/8 + w**3/3 + 5*w**2 + 36*w + 3. Determine o so that a(o) = 0.
-5, -1, 2
Let k(s) be the third derivative of -s**5/80 + 19*s**4/32 + 213*s**2. Factor k(m).
-3*m*(m - 19)/4
Let f(p) = -p + 1. Let o(m) = 5*m + 3*m**2 - m**3 + 3*m**3 - m**3 - 3*m + 1. Let s be o(-2). Let b(r) = 2*r**2 - 2*r. Let x(w) = s*b(w) + 4*f(w). Factor x(u).
2*(u - 2)*(u - 1)
Suppose 7*f - 2*f**3 - 3 - 6*f + 9 + 5*f - 2 = 0. Calculate f.
-1, 2
Let q = 23869/7 - 3409. Find x, given that -16/7 + 40/7*x + q*x**3 - 4*x**2 = 0.
2/3, 2
Let j = 500/7 + -71. Let z = j + 3. Solve -3/7 + 6/7*n + 6/7*n**2 - z*n**3 + 3*n**4 - 6/7*n**5 = 0.
-1/2, 1
Let m = -7/9 + 55/9. Suppose -4*w = 4*y + 4, 0 = w + 2*w + 5*y + 9. Let -34/3*d**3 + m*d**w + 26/3*d**4 - 7/3*d**5 - 2/3 + 1/3*d = 0. What is d?
-2/7, 1
Let g = -27 - -29. Factor 0*j**g - j**2 + 3*j**2 + 6*j.
2*j*(j + 3)
Let f = -1259 + 1264. Let w(s) be the third derivative of 0 + 1/90*s**4 + 0*s - 4*s**2 - 1/450*s**f - 1/45*s**3. Solve w(b) = 0.
1
Let s be ((-16)/36)/(-2) - 6890/(-18). Let w = 781/2 - s. Factor 0 + 3*d**3 + 0*d**2 + w*d**4 + 0*d.
3*d**3*(5*d + 2)/2
Let i be (880/32)/(-11)*3/(-5). Factor -1/2*o + 0 - 1/2*o**4 - 3/2*o**3 - i*o**2.
-o*(o + 1)**3/2
Suppose 3*n = -6*n + 27. Let i(q) be the second derivative of q**2 - 2*q - 1/20*q**5 + 0*q**4 + 0 + 1/2*q**n. Suppose i(j) = 0. What is j?
-1, 2
Suppose 2*i + 0*i = -5*t + 234, 2*t - 99 = i. Find k such that 1 + 18*k**3 - 12 - 60*k**2 - t*k**3 + 3*k**5 - 1 - 45*k = 0.
-1, 4
Let j = 827/1662 + 2/831. Let v(y) be the first derivative of -3 + j*y**4 + 1/6*y**3 + 0*y - 1/2*y**2 - 3/10*y**5. Suppose v(i) = 0. Calculate i.
-2/3, 0, 1
Let q = -179/55 - -38/11. Suppose 1/5*g**4 + 1/5*g**3 + 0 - q*g**2 - 1/5*g = 0. What is g?
-1, 0, 1
Suppose 5*g = 8 + 7. Suppose x = 4*m + 21, -x - m + 15 = -2*m. Factor 16*d**4 - x*d**3 + 11*d**2 - g*d**2 - 4*d**5 - 7*d**3.
-4*d**2*(d - 2)*(d - 1)**2
Let z(k) be the second derivative of -2*k**6/5 - 31*k**5/10 + 11*k**4/2 + 16*k**3/3 - 12*k**2 - 49*k. What is r in z(r) = 0?
-6, -2/3, 1/2, 1
Let m = 171 + -154. Suppose -m - 19 = -12*x. Find p, given that -3/5*p**4 + 0*p**x + 0*p**2 + 0*p + 0 - 3/5*p**5 = 0.
-1, 0
Let 261*v**2 + 1/3*v**4 + 841/3*v + 0 - 19*v**3 = 0. Calculate v.
-1, 0, 29
Suppose -3*d - 18 = -3*f, -31*f - 2*d - 6 = -30*f. Factor -1/2*g**f + 1/6*g + 1/6*g**4 - 1/6*g**3 + 1/3.
(g - 2)*(g - 1)*(g + 1)**2/6
Solve -775 - 7*b**2 + 2*b**2 - 2*b - 98*b + 595 = 0 for b.
-18, -2
Find v such that -69/5*v + 66/5 + 3/5*v**2 = 0.
1, 22
Suppose -9*l - 9*l = 3*l. Let k(v) be the second derivative of 0 - 8/5*v**2 + 1/5*v**4 + l*v**3 - 7*v - 1/25*v**5. Suppose k(g) = 0. Calculate g.
-1, 2
Let j(w) be the second derivative of -w**7/42 - 3*w**6/2 - 483*w**5/20 + 529*w**4/12 + 163*w. Factor j(x).
-x**2*(x - 1)*(x + 23)**2
Suppose -h = -5*h. Let u = 2 + h. Solve 6*x**4 - 6*x**3 + u*x**2 - 2*x**4 + 4*x - 4*x = 0.
0, 1/2, 1
Determine u, given that -10*u**4 + 154*u**3 - 40*u - 17*u**4 - 16 - 118*u**3 + 39*u**2 = 0.
-1, -1/3, 4/3
Let k(t) be the third derivative of t**8/420 - t**7/840 + 5*t**3/6 - 15*t**2. Let n(f) be the first derivative of k(f). Suppose n(d) = 0. Calculate d.
0, 1/4
Let g = -24788/5 - -4958. Factor 0*u - 2/5*u**4 - g*u**5 + 4/5*u**3 + 0*u**2 + 0.
-2*u**3*(u - 1)*(u + 2)/5
Let m be -4 + 0 + 46 + -3. Let w = m + -37. Factor -6/11*a**5 - 14/11*a**4 + 0 + 6/11*a**w + 4/11*a - 6/11*a**3.
-2*a*(a + 1)**3*(3*a - 2)/11
Factor -48/11 + 68/11*j - 2/11*j**3 - 18/11*j**2.
-2*(j - 2)*(j - 1)*(j + 12)/11
Let v(b) = 22*b - 70. Let l be v(6). Let j = l - 58. Let 0 - 2/3*k**3 + 0*k - 2/3*k**5 + 0*k**2 - 4/3*k**j = 0. What is k?
-1, 0
Find k such that 86/11*k - 36/11 + 10/11*k**2 = 0.
-9, 2/5
Let l(z) = 4*z**2 + 18*z - 81. Let n(x) be the first derivative of 5*x**3/3 + 9*x**2 - 81*x + 7. Let c(d) = -6*l(d) + 5*n(d). What is i in c(i) = 0?
9
Let j(w) = 2*w**2 - 5*w - 1. Let m be j(3). Suppose 0 = -m*h - 0*h + 6. Let 12*s**3 + s**5 + h*s**2 + 0*s**5 - 9*s + 3*s**2 - 6 - 4*s**5 = 0. Calculate s.
-1, 1, 2
Let s = -8 - -11. Suppose 5*z + 52 = s*c, 16 = c + 5*z - 7*z. Factor -20*l + 100 - c*l + 4*l**2 + 7*l - 3*l.
4*(l - 5)**2
Let f be (-988)/(-228) - (-5)/3. Let k(w) be the second derivative of w**4 + w**2 + w - 8/15*w**f + 0 - 5/3*w**3 + 2/5*w**5. Factor k(n).
-2*(n + 1)*(2*n - 1)**3
Let n(t) be the third derivative of -t**7/630 + t**6/40 - 7*t**5/180 - t**4/8 + 4*t**3/9 - 50*t**2 - 1. Factor n(z).
-(z - 8)*(z - 1)**2*(z + 1)/3
Suppose -240 = -4*v - z + 3*z, -5*z - 240 = -4*v. Suppose 2*a = -3*a - v. Let t(m) = 6*m**2 + 8*m - 12. Let j(i) = i - 1. Let f(n) = a*j(n) + t(n). Factor f(l).
2*l*(3*l - 2)
Let p be 616/264 - (-2)/(-6). Solve -1/2*d**4 - 5/2*d**3 - 4*d**2 + 0 - p*d = 0 for d.
-2, -1, 0
Suppose -3*y - v = -67, -115 + 26 = -4*y - v. Suppose 11*m = 8*m + 51. Find p, given that -14 - 7*p**2 + y*p + 2 - 2*p**2 + m*p = 0.
1/3, 4
Factor -2/11*z**2 + 0*z + 0 + 2/11*z**3.
2*z**2*(z - 1)/11
Let z = 2/79 - -73/237. Let v = 17090/3 - 5696. Let v*b**2 + 0 - 1/3*b - z*b**3 = 0. What is b?
0, 1
Let j(f) be the first derivative of f**3/6 - f**2/4 + 35. Find u, given that j(u) = 0.
0, 1
Suppose 39 = 3*i - 3. Suppose -i = -4*c - 2. Find l such that -c*l**3 + 0*l**4 - 6*l + 3*l**2 + 5*l + l**4 = 0.
0, 1
Let p(j) be the second derivative of -9*j**4 + 2*j**3 - j**2/6 + 477*j. Find d, given that p(d) = 0.
1/18
Let m = 0 - -3. Suppose -46 + 85*x + 152*x**2 - 72*x**2 - 35*x**m + 16 = 0. Calculate x.
-1, 2/7, 3
Let b(w) be the first derivative of -9*w + 9*w + 5*w**3 - 12*w**2 - 17 - 12*w. Let b(u) = 0. Calculate u.
-2/5, 2
Let q(b) be the first derivative of 0*b**2 + 0*b - 24/11*b**3 + 6/11*b**4 + 2 - 2/55*b**5. Factor q(v).
-2*v**2*(v - 6)**2/11
Let r be 36/(-288) + 119/24. Let z(s) be the second derivative of s + 0 - 7/3*s**4 - 3*s**2 - r*s**3. Factor z(v).
-(4*v + 3)*(7*v + 2)
Let p = -294 + 196. Let x = p + 884/9. Factor x*w**2 - 2/9*w + 0.
2*w*(w - 1)/9
Let f(k) be the third derivative of k**6/210 - k**5/60 - k**4/12 - k**3/14 - 7*k**2 - 3. Factor f(v).
(v - 3)*(v + 1)*(4*v + 1)/7
Let w be 1 - (-7)/14*-2. Let x(h) be the second derivative of -1/12*h**3 + 1/60*h**6 + 1/40*h**5 - 1/24*h**4 + 0*h**2 + 3*h + w. Factor x(o).
o*(o - 1)*(o + 1)**2/2
Let i(n) = n**3 + 4*n**2 - n + 4. Let t(o) = o**3 + o**2 - o + 1. Suppose u - 3*k = -0*u + 2, 5*u + 2*k = -7. Let x(q) = u*i(q) + 4*t(q).