*j + 1)/3
Let y be (1 + 0)/((-5)/35). Let u be (43/y - -4)*4/(-10). Solve 16/7*w + 2/7*w**4 + 0*w**3 - u - 12/7*w**2 = 0.
-3, 1
Let u(j) = 3*j - 80. Let p be u(28). Let o be (6 - -1 - -2)*p/18. Factor 2/13 - 18/13*b**o - 10/13*b**3 - 6/13*b.
-2*(b + 1)**2*(5*b - 1)/13
Find a, given that 0*a**4 + 2*a**4 + 2*a**4 - 77 + 136*a**3 - 448*a**2 - 136*a + 521 = 0.
-37, -1, 1, 3
Suppose 2*q - 24 = 4*g, 2*q + g - 12 = 2*g. Suppose -4*a + 3*a = -q. Suppose -6*p**4 + 4*p**4 + 2*p**3 - a*p + 2 + 2*p**3 = 0. What is p?
-1, 1
Let y(s) be the third derivative of s**8/336 - s**7/105 - s**6/40 + s**5/15 + s**4/6 + 2*s**2 + 31. What is k in y(k) = 0?
-1, 0, 2
Let x = -8931 - -8933. Let 5/8*o**x + 1/8*o**3 - 3/8*o**5 - 5/8*o**4 + 0 + 1/4*o = 0. What is o?
-1, -2/3, 0, 1
Let l(i) = 4*i**3 + 2. Let h(g) = -g**4 + 10*g**3 + 3*g**2 - 8*g + 8. Let m(b) = -5*h(b) + 10*l(b). Factor m(o).
5*(o - 2)*(o - 1)**2*(o + 2)
Let t(g) be the second derivative of -g**5/50 + 2*g**4/15 - g**3/3 + 2*g**2/5 + g + 31. Solve t(b) = 0.
1, 2
Let q(u) be the second derivative of u**5/80 + u**4/24 - u**3/24 - u**2/4 - 463*u. Solve q(k) = 0.
-2, -1, 1
Let g(f) = -4*f**5 - 8*f**4 + 19*f**3 - 22*f**2 - 3*f + 3. Let m(n) = 3*n**5 + 7*n**4 - 20*n**3 + 20*n**2 + 2*n - 2. Let u(y) = 4*g(y) + 6*m(y). Factor u(p).
2*p**2*(p - 2)*(p - 1)*(p + 8)
Let r(k) = -k**5 + 7*k**4 + 15*k**3 + 17*k**2 + 4*k. Let v(n) = 8*n**4 + 16*n**3 + 16*n**2 + 4*n. Let s(t) = 2*r(t) - 3*v(t). Factor s(f).
-2*f*(f + 1)**3*(f + 2)
Suppose 17*v + 286 = 337. Determine g, given that -3/5*g**2 + 0 + 1/5*g**4 + 0*g**v + 2/5*g = 0.
-2, 0, 1
Let s(l) be the second derivative of -l**6/1080 + l**5/360 + l**4/12 - 7*l**3/6 + 37*l. Let x(q) be the second derivative of s(q). Factor x(n).
-(n - 3)*(n + 2)/3
Suppose 0 = -2*j + x + 2*x + 12, -3*j + 20 = -5*x. Factor 2/5*b**2 + 0 + j*b + 2/5*b**3.
2*b**2*(b + 1)/5
Let l(u) = -u + 7. Let z be l(3). Let f(a) be the second derivative of -5/12*a**z + 1/18*a**6 + 2/3*a**2 - 1/30*a**5 + 3*a - 2/9*a**3 + 0. Factor f(o).
(o - 2)*(o + 1)**2*(5*o - 2)/3
Let y be (-110)/44 - (-21)/7. Determine z, given that 0*z + 0*z**3 + y*z**2 + 0 - 1/2*z**4 = 0.
-1, 0, 1
Suppose 5*l - 1340 = -1310, -2*o = 3*l - 30. Solve -o*q**4 - 33/2*q + 3 + 3/2*q**3 + 18*q**2 = 0.
-2, 1/4, 1
Factor -31 - 8*g + 27*g + g**3 + 50*g - 6*g**2 - 6*g - 27*g**2.
(g - 31)*(g - 1)**2
Let q(r) = -123*r**2 - 21*r - 5. Let c(s) = 61*s**2 + 9*s + 2. Let v(b) = 5*c(b) + 2*q(b). Let v(x) = 0. Calculate x.
-3/59, 0
Let z = 1216/6155 + 3/1231. Factor -1/5*u**3 + 4/5*u - 6/5*u**2 + 8/5 + z*u**4.
(u - 2)**2*(u + 1)*(u + 2)/5
Let x be 23 - 20 - (2 + -1). Let b(q) be the second derivative of 1/50*q**5 + 0*q**3 + 0*q**x + 0 + 0*q**4 + 1/75*q**6 - 4*q. Factor b(j).
2*j**3*(j + 1)/5
Let w(m) be the first derivative of -m**5/5 - m**4/4 + m**3/3 + m**2/2 - 33. Determine d, given that w(d) = 0.
-1, 0, 1
Let y(z) be the third derivative of z**8/2240 - z**7/210 + z**6/48 - z**5/20 - z**4/3 + 27*z**2. Let d(p) be the second derivative of y(p). Factor d(m).
3*(m - 2)*(m - 1)**2
Let f(d) be the second derivative of 0 + 0*d**2 - 1/7*d**3 + 1/42*d**4 - 20*d. Find m, given that f(m) = 0.
0, 3
Let w(q) be the first derivative of -6*q**4 - 46*q**3/3 - 10*q**2 + 2*q + 64. Let w(v) = 0. Calculate v.
-1, 1/12
Suppose 3*g - 18 = 4*b + 20, 2*b + 34 = 4*g. Suppose -4*p = -18 + g. Factor 1/4 + 1/4*v**p - 1/4*v - 1/4*v**2.
(v - 1)**2*(v + 1)/4
Let c(j) = -2*j**4 - 17*j**2 - 42*j - 35. Let n(t) = 3*t**4 - t**3 + 33*t**2 + 86*t + 69. Let a(m) = -5*c(m) - 3*n(m). Find d such that a(d) = 0.
-4, -2, -1, 4
Let p = 85693/9 + -9521. Factor 2/9*r + 4/9*r**2 - 2/9*r**3 - p.
-2*(r - 2)*(r - 1)*(r + 1)/9
Let k be (21/(-9) + 5 + -4)*-9. Suppose 2*v - 8 = -2*l, -3*v + 4*l + 0 = -k. What is h in 1/2*h**v + 0*h**2 + 0*h + 0*h**3 + 0 = 0?
0
Let v = -19 + 18. Let u(x) = x**4 + x**3 - 1. Let s(d) = -d**5 + 2*d**4 - 10*d**3 + 3*d**2 + 3. Let c(o) = v*s(o) - 3*u(o). Let c(j) = 0. Calculate j.
0, 1, 3
Factor 14/3*b**2 + 49/3*b + 12 + 1/3*b**3.
(b + 1)*(b + 4)*(b + 9)/3
Let c(f) = -f**3 + 5*f**2 + 13*f + 6. Let b be c(7). Let w(x) = -x**2 + 3. Let v be w(b). Find l such that -3*l - 3/2*l**v - 3/2 = 0.
-1
Suppose -1530 = -2*t + k, -5*t = -t + k - 3054. Factor t + 5*b**2 - 25*b - 744 + 0*b**2.
5*(b - 4)*(b - 1)
Let t(g) be the first derivative of -2*g**5/5 + 5*g**4 - 24*g**3 + 56*g**2 - 64*g + 157. Let t(l) = 0. What is l?
2, 4
Let h(o) = 7*o + 30. Let s be h(-9). Let z be (-8)/35 + s/(-77). Determine t, given that -1/5*t**3 - 3/5*t + z + 3/5*t**2 = 0.
1
Let n(y) be the third derivative of y**5/180 - y**4/12 - 7*y**3/18 - 14*y**2 - 3*y. Factor n(u).
(u - 7)*(u + 1)/3
Let t be 4/6*(-90)/6. Let j be -3 + 3 + -4 + (-44)/t. Factor 0 + 8/5*v**2 - j*v**3 - 8/5*v.
-2*v*(v - 2)**2/5
Let m(s) = 6*s**2 - 15*s + 30. Let c(d) = -d**2 + 3*d - 6. Let t = -39 - 69. Let j be (-14)/((-9)/(t/(-8))). Let x(w) = j*c(w) + 4*m(w). Solve x(a) = 0 for a.
-2, 1
Suppose -4*t + 8 = -c - 9, 28 = 5*t + c. Solve 11*x**3 + 0*x**3 - 7*x - 4*x**5 + t*x**4 + 2 - 9*x**2 + 0*x**2 + 2*x**2 = 0.
-1, 1/4, 1, 2
Let t = 95/9 - 31/3. Let r = -11 + 15. Factor 0*o**2 + t*o**5 - 2/3*o**r + 0 + 0*o + 4/9*o**3.
2*o**3*(o - 2)*(o - 1)/9
Let x(n) be the second derivative of -3*n**5/10 + 5*n**4/4 + 4*n**3 - 30*n**2 - 60*n. Find p such that x(p) = 0.
-2, 2, 5/2
Let -15/4*f**2 + 81/2 - 399/4*f = 0. Calculate f.
-27, 2/5
Let s = 129 - 126. Let 4*g**3 - 3*g**4 - 6*g + 4 + g**s - 1 + g**3 = 0. Calculate g.
-1, 1
Let k(d) = -3*d**3 + 2*d**2 + 3*d + 1. Let r be k(-1). Let a(o) be the second derivative of -2/7*o**2 - 2/21*o**4 + 3/7*o**r + 0 - 6*o. Solve a(v) = 0 for v.
1/4, 2
Suppose 43*l + 4 = 45*l. Let q(h) be the third derivative of -l*h**2 + 0 + 1/36*h**4 + 0*h - 1/180*h**5 - 1/18*h**3. Factor q(d).
-(d - 1)**2/3
Let r(t) be the second derivative of 8*t**2 + 0 - t**4 + 1/10*t**5 + 1/15*t**6 - 5*t - 4/3*t**3. Solve r(l) = 0 for l.
-2, 1, 2
Let h(j) = 2*j**2 + 5*j + 4. Let z be h(-5). Let b = z + -19. Factor -b*u**2 - 2*u + 3*u + 11*u**2.
u*(u + 1)
Let j(z) be the third derivative of -z**8/588 + 12*z**7/245 - 16*z**6/35 + 128*z**5/105 - 114*z**2. Let j(q) = 0. What is q?
0, 2, 8
Let m(g) = -g**2 + 6*g. Let z be m(6). Suppose 24 = 3*q + t + 4, z = 4*q - t - 15. Factor 6*a + 2*a**3 + 0*a**5 + 15*a**2 + 7*a**3 - 3*a**4 + a**q - 4*a**5.
-3*a*(a - 2)*(a + 1)**3
Let q(x) be the third derivative of x**7/210 + x**6/90 - x**5/30 - x**4/6 + 2*x**3/3 - 8*x**2. Let c(t) be the first derivative of q(t). Factor c(b).
4*(b - 1)*(b + 1)**2
Let q(j) = 2*j**2 - 116*j + 116. Let c be q(1). Suppose 11/4*k + 3/2 + 3/2*k**c + 1/4*k**3 = 0. What is k?
-3, -2, -1
Let p = -21 - -29. Factor 15*r**5 + 16*r**5 - p*r**2 - 18*r**4 - 34*r**5 - 4*r**2 - 27*r**3.
-3*r**2*(r + 1)**2*(r + 4)
Let j(p) = -2*p + 14. Let v be j(5). Suppose -v*k + 11 + 1 = 0. What is h in -4*h**2 + 2*h**2 + 0*h**2 - h**4 + 3*h**k = 0?
0, 1, 2
Determine u so that -8*u - 4 - 44*u**2 - 40*u + 0 - 3 + 3 = 0.
-1, -1/11
Let b be (-4 - 3) + 88/(-24)*-3. Determine p so that 3/4*p**3 + 3/4*p**b - 3/4*p**2 - 3/4*p**5 + 0 + 0*p = 0.
-1, 0, 1
Suppose -4*h + 2*v + 6 = 0, 9 + 1 = 5*h - 2*v. Let q(w) = 5*w**2 + w. Let o(u) = 30*u**2 + 5*u. Let t(z) = h*o(z) - 25*q(z). Determine n, given that t(n) = 0.
-1, 0
Let p be 2/3*(-30)/(-3000). Let g(b) be the third derivative of 0*b**3 + 0*b + 1/300*b**6 + 1/525*b**7 - p*b**5 + 2*b**2 + 0 - 1/60*b**4. Factor g(r).
2*r*(r - 1)*(r + 1)**2/5
Suppose 4*v = -o, 0 = -5*o - 3*v + 4*v. Suppose x + o = 4. Solve 3*c**2 + 14*c**x - 5*c**3 - 7*c**3 + 0*c**3 - 5*c**4 = 0 for c.
0, 1/3, 1
Let b(r) be the second derivative of r**6/75 + 3*r**5/25 + 11*r**4/30 + 2*r**3/5 - 51*r. Find u, given that b(u) = 0.
-3, -2, -1, 0
Let a = -254/45 - -58/9. Let r(d) be the second derivative of 0*d**2 + a*d**5 - 4/9*d**3 - 14/45*d**6 + 4*d - 1/3*d**4 + 0. Factor r(v).
-4*v*(v - 1)**2*(7*v + 2)/3
Let g(h) be the first derivative of 2*h**5 - 17280*h**2 - 60*h**4 + 66 - 103680*h - 44 - 1440*h**3 - 3*h**5. Let g(n) = 0. What is n?
-12
Let y(c) = 2*c**2 + c. Let q(f) = 12*f**2 + 1060*f + 69696. Let k(w) = q(w) - 4*y(w). Factor k(t).
4*(t + 132)**2
Let u be (2 + -6)/(-25 + 23). Find j, given that 1/4*j**4 + 0 + j**u + j**3 + 0*j = 0.
-2, 0
Solve 18 - 1 - 4 + 25*p + p**2 + 4*p**2 + 7 = 0.
-4, -1
Let z = -153 + 153