*2 + 0 + 2*h**3 + h - m*h**4 = 0. Calculate h.
0, 1, 2
Suppose 8 + 8 = 4*g. Let b = g + -2. Find p such that -1 + 8*p**3 + 1 - 3*p**b - p**2 = 0.
0, 1/2
Let p = -7345 + 7345. Suppose -22/13*a**3 - 24/13*a**2 - 6/13*a**4 - 8/13*a + p = 0. Calculate a.
-2, -1, -2/3, 0
Let d(o) = -o**2 - 9*o - 5. Let x be d(-8). Factor -4 - 3*u - 2*u**2 + 0*u**3 - 4*u - 2*u**3 + 3*u**x.
(u - 4)*(u + 1)**2
Let u = 1058 + -753. Let b = u - 905/3. Factor 0 - 4*h**3 - 1/3*h**5 - b*h**2 - 2*h**4 - h.
-h*(h + 1)**3*(h + 3)/3
Let v(j) = j**3 - j**2 - 2*j - 3. Let m(c) = -5*c**3 + 25*c**2 - 340*c - 1590. Let t(x) = m(x) + 10*v(x). Factor t(z).
5*(z - 9)*(z + 6)**2
Let x be 24/15*375/350. Find q, given that -300/7*q - x*q**5 + 72/7 + 104/7*q**4 - 328/7*q**3 + 464/7*q**2 = 0.
2/3, 1, 3
Let f(i) be the third derivative of i**7/540 - 23*i**6/1080 + i**5/30 - i**4/4 - 5*i**2. Let k(p) be the second derivative of f(p). Factor k(o).
2*(o - 3)*(7*o - 2)/3
Let 97*t - 32*t - 7*t**2 + 187*t + 3*t**2 = 0. Calculate t.
0, 63
Let b = 74 + 89. Let j = -812/5 + b. Solve 0 - 3/5*i**3 - 1/5*i**5 + j*i**4 + 1/5*i**2 + 0*i = 0.
0, 1
Let d be -1*(-55)/15 + 242/33 + -9. Factor -1/5*l + 0 - 1/5*l**d.
-l*(l + 1)/5
Suppose 0 = q + 20 - 98. Let b be (-3)/4 + q/8. Determine j, given that 1 - j**2 + b + 49*j + 46*j**2 + 6*j = 0.
-1, -2/9
Let k = -28 + 33. Solve -r**4 + r**k - r**3 - 72*r + 72*r + r**2 = 0 for r.
-1, 0, 1
Let 63/2*k**4 - 87/2*k**2 + 18 + 24*k + 27/2*k**5 - 87/2*k**3 = 0. Calculate k.
-3, -2/3, 1
Let h = 18 - 15. Let y(v) = -2*v**3 - 4*v**3 + v + 5*v**h. Let n(d) = -4*d**3 + 3*d. Let x(i) = n(i) - 3*y(i). Suppose x(w) = 0. Calculate w.
0
Let q(a) = -6*a**2 - 1503*a - 95256. Let f(n) = 3*n**2 + 752*n + 47628. Let s(k) = 9*f(k) + 4*q(k). Factor s(u).
3*(u + 126)**2
Let q(s) = 13*s**3 - 14*s**2 + 35*s - 31. Let r(j) = -4*j**3 + j**2 + 2. Let g(z) = q(z) + 3*r(z). Solve g(b) = 0.
1, 5
Suppose 3*g = -4*y + 8, 2*y + g + 4 = 8. Find j such that -7*j**3 + 2*j + 2*j**3 - j + 15*j**y + 5 - 16*j = 0.
1
Let q(n) = n**2 + 10*n + 26. Let h be q(-6). Let g(j) be the third derivative of 0 - 13/3*j**4 + 7/15*j**5 + 0*j - 16/3*j**3 - h*j**2. Factor g(v).
4*(v - 4)*(7*v + 2)
Let z(i) be the first derivative of -6 - 9/2*i**2 + 0*i + 2*i**3 + 3/4*i**4. Factor z(w).
3*w*(w - 1)*(w + 3)
Let n(z) = z**3 - 25*z - 21. Let p(i) = -12*i**3 + 276*i + 232. Let k = 22 + 10. Let h(b) = k*n(b) + 3*p(b). Factor h(m).
-4*(m - 3)*(m + 1)*(m + 2)
Determine w, given that 1652 - 39*w**2 - 1505 - 2*w**3 + 5*w**3 + 105*w = 0.
-1, 7
Let x = 22847/5 + -4569. Suppose -4*c + 12 = 3*t, -6 = 3*c - 15. Let -2/5*o**3 + 0*o - x*o**2 + t = 0. Calculate o.
-1, 0
Let b(u) be the first derivative of 1/30*u**5 + 0*u**2 - 1/9*u**3 + 1/6*u + 3 + 0*u**4. Factor b(f).
(f - 1)**2*(f + 1)**2/6
Let t(d) be the third derivative of d**8/3024 - d**7/630 - d**6/1080 + 7*d**5/540 - 2*d**3/27 - 183*d**2. Find w such that t(w) = 0.
-1, 1, 2
Let x be ((-22)/55)/(63/(-28)*(-8)/(-15)). Suppose 0 = -5*v + 4*v + 2. Factor 3 + x*d**v - 2*d.
(d - 3)**2/3
Suppose -3*s + 6 = r - 2*s, -5*r + 5*s + 50 = 0. Suppose 5*p + r = 9*p. Factor 2/5*a**p + 0 + 4/5*a.
2*a*(a + 2)/5
Let y(a) be the second derivative of 0*a**3 + 11*a + 0 + 1/28*a**4 + 0*a**2 + 3/140*a**5. Solve y(x) = 0.
-1, 0
Let n(z) = -z**3 - 10*z**2 + 10*z - 13. Let o be n(-11). Let u = 0 - o. Let -1 - 23/4*v**u - 7/4*v**3 - 5*v = 0. Calculate v.
-2, -1, -2/7
Let l = -10468 + 10470. Determine c, given that 0*c + 0*c**l - 3/5*c**5 + 2/5*c**3 + c**4 + 0 = 0.
-1/3, 0, 2
Let a(b) be the third derivative of b**6/1260 + 2*b**5/315 + b**4/84 + 321*b**2. Find h, given that a(h) = 0.
-3, -1, 0
Let t(u) = -3*u + 8. Let d(y) = 2*y - 9. Let f(x) = 6*d(x) + 5*t(x). Let i be f(-6). Determine m so that -1 - 3 + 2*m - i*m**2 - 4 + 10*m = 0.
1, 2
Find y such that 99*y**2 + 1 - 119*y**2 + 15 + 4*y**4 = 0.
-2, -1, 1, 2
Let k(q) be the first derivative of 1/27*q**3 + 0*q - 2/9*q**4 - 7 + 0*q**2. Suppose k(c) = 0. What is c?
0, 1/8
Let x(l) = 2*l**3 - 8*l**2 + 7*l + 12. Let b(i) = i**3 - 4*i**2 + 4*i + 6. Let j(p) = 10*b(p) - 6*x(p). Let j(c) = 0. Calculate c.
-1, 2, 3
Let v be 1222/(-182) - 14/(-2). Solve 0 + 6/7*i**3 + 4/7*i**2 - v*i**5 + 0*i**4 + 0*i = 0.
-1, 0, 2
Suppose -3*f - 16 = -7*f. Factor -f + 2*c**2 - 9*c - 5*c**2 + 4.
-3*c*(c + 3)
Suppose -127 - 3*l - 3*l**2 + 66 + 61 = 0. Calculate l.
-1, 0
Let o(f) = 0*f**2 + 0*f + 13*f**2 - 14*f + 21*f**3 + 1. Let w(m) = -7*m**3 - 4*m**2 + 5*m. Let v(u) = 4*o(u) + 14*w(u). Let v(b) = 0. What is b?
-1, -2/7, 1
Let p(q) be the second derivative of 2/45*q**3 + q + 1/90*q**4 + 0*q**2 + 0. Factor p(z).
2*z*(z + 2)/15
Let o = 41 + 30. Let y be 2*(-10)/8*(-102)/85. Suppose -71 + o + y*g**2 + 3*g = 0. What is g?
-1, 0
Suppose -5*h - 18 + 8 = -4*d, 0 = 3*d. Let c be 40/15 + h + (-2)/15. Factor -c*m**2 - 2/15*m**3 - 8/15*m + 0.
-2*m*(m + 2)**2/15
Let b(w) be the second derivative of 16*w**4/3 + 2*w**3/3 - 2*w**2 + 15*w. Let k(g) = g**2. Let j(p) = b(p) - 16*k(p). Determine l, given that j(l) = 0.
-1/3, 1/4
Let w = -1/1013 - 14163/19247. Let n = 117/133 + w. Factor -n*s**3 + 0 + 2/7*s**2 - 1/7*s.
-s*(s - 1)**2/7
Let f = -10796 - -53982/5. Factor -8/5 - 16/5*b - f*b**3 - 2*b**2.
-2*(b + 1)*(b + 2)**2/5
Factor -1441*r - 384 + 385*r + 9849*r**3 + 5145*r**4 - 3087*r**3 + 1512*r**2.
3*(5*r - 2)*(7*r + 4)**3
Suppose -45*m = -33*m - 72. Let g(h) be the third derivative of -1/630*h**7 + 0*h**4 + 0*h + 5*h**2 + 0*h**m + 0*h**3 + 0 + 1/180*h**5. Factor g(f).
-f**2*(f - 1)*(f + 1)/3
Let z(b) = 2*b + 41. Let x be z(-17). What is y in x - y**2 - 2*y - 11 + 4 = 0?
-2, 0
Let k be (1 - (-3062)/(-154)) + (-3 - -5). Let n = k + 192/11. Factor -n*s + 0 - 2/7*s**3 + 6/7*s**2.
-2*s*(s - 2)*(s - 1)/7
Let h be (-44)/60 - (-6)/10. Let v = 49/30 + h. Solve -3/2*c**2 + 0 + v*c = 0 for c.
0, 1
Let b(l) be the second derivative of -l**5/40 + l**4/12 - l**3/12 - 11*l - 4. Determine f, given that b(f) = 0.
0, 1
Factor 1043*y + 4*y**2 + 8*y**3 + 1054*y - 4*y**4 - 2105*y.
-4*y*(y - 2)*(y - 1)*(y + 1)
Let b be ((-2)/(-4) - 3)*(-272)/340. Let m(r) be the first derivative of -1/24*r**3 + 0*r**b + 1/16*r**6 + 5/32*r**4 + 6 + 0*r - 7/40*r**5. Factor m(p).
p**2*(p - 1)**2*(3*p - 1)/8
Let k be (-1)/(210/(-20) + 7). Solve 4/7*w + k*w**2 - 6/7 = 0.
-3, 1
Suppose 0 + 0*t + 48/7*t**2 - 12/7*t**4 + 3/7*t**5 - 12/7*t**3 = 0. Calculate t.
-2, 0, 2, 4
Let f(y) = -260*y**2 - 65*y + 40. Let l(q) = -20*q**2 - 5*q + 3. Suppose -4*r - 7 - 5 = 0. Let k(i) = r*f(i) + 40*l(i). Factor k(n).
-5*n*(4*n + 1)
Suppose l - 2*h - 1 + 2 = 0, 4*l + h = 5. Suppose -c - l = -3. Factor -g + 0 - 7/2*g**c.
-g*(7*g + 2)/2
Let r(o) be the third derivative of -5/336*o**8 + 0 - 5/8*o**4 - 9*o**2 + 0*o - 1/2*o**6 + 5/6*o**5 + 0*o**3 + 1/7*o**7. Suppose r(y) = 0. What is y?
0, 1, 3
Let j(u) be the second derivative of 4*u**6/15 - 12*u**5/5 + 7*u**4/2 - 5*u**3/3 + 103*u. Factor j(y).
2*y*(y - 5)*(2*y - 1)**2
Let k = -2079 - -18713/9. Factor k*c**2 - 8/9*c + 2/3.
2*(c - 3)*(c - 1)/9
Let 108 + 14*u**3 - 29977*u**4 + 29980*u**4 + 82*u + 10*u + 111*u**2 + 16*u**3 + 88*u = 0. What is u?
-3, -2
Let d = 125212/7 + -17887. Let o = 43/91 + 5/13. Suppose o*a**2 - 3/7 + d*a = 0. What is a?
-1, 1/2
Let y(t) be the third derivative of t**6/80 + t**5/5 - 19*t**4/16 + 5*t**3/2 + 2*t**2 - 37. Factor y(w).
3*(w - 1)**2*(w + 10)/2
Let s(a) be the first derivative of 0*a - 1/70*a**5 - 1/280*a**6 - 1/56*a**4 + 0*a**3 - 5/2*a**2 - 4. Let v(p) be the second derivative of s(p). Factor v(l).
-3*l*(l + 1)**2/7
Factor -4/9 - 4/9*q**2 - 10/9*q + 8/9*q**4 + 2/9*q**5 + 8/9*q**3.
2*(q - 1)*(q + 1)**3*(q + 2)/9
Find c such that -3/5*c**5 - 6/5*c**2 + 21/5*c**3 - 36/5*c + 24/5 + 0*c**4 = 0.
-2, 1, 2
Let q be (-20678)/(-1617) + 39/11 + -3. Suppose -q*k + 34/3*k**2 + 8/3 - 8/3*k**3 = 0. What is k?
1/4, 2
Let b(o) = 3*o + 7. Let x(j) = -5*j - 11. Let z(u) = 8*b(u) + 5*x(u). Let i(n) = 2*n**2 - 5*n + 15. Let l(d) = -2*i(d) + 22*z(d). Solve l(c) = 0.
-2, -1
Let q be 1 + 0 - 15/5. Let n = q + 6. Factor 3*d**3 - 12*d**4 + n - 4*d - 4*d**5 + 5*d**3 + 16*d**4 - 8*d**2.
-4*(d - 1)**3*(d + 1)**2
Let a(w) = w**4 + w**3 - w**2 - w - 1. Let t(o) = 8*o**4 + 6*o**3 - 9*o**2 - 7*o - 7. Let q(l) = 21*a(l) - 3*t(l). Solve q(b) = 0.
-1, 0, 2
Let h(m) = 2*m**3 - 7*m**2 - 28*m + 19. Let p(n) = n**3 - 4*n**2 - 