7*j**4 - 4/7 + g*j - 26/7*j**2 = 0.
-2, 1/2, 1
Let t(n) be the second derivative of n**4/20 - 4*n**3/5 + 18*n**2/5 + 110*n. Factor t(b).
3*(b - 6)*(b - 2)/5
Let p be (-16 - -7) + (3 - (0 + 1)). Let b(y) = -y**2 - 8*y - 5. Let o be b(p). Factor -6/13*c**o + 2/13*c + 0.
-2*c*(3*c - 1)/13
Let q(y) = -y**4 + 5*y**3 - 2*y**2 - 50*y + 6. Let i(d) = -4*d**4 + 19*d**3 - 7*d**2 - 200*d + 26. Let w(a) = 6*i(a) - 26*q(a). Factor w(n).
2*n*(n - 5)**2*(n + 2)
Let c(z) be the second derivative of -z**6/360 + z**5/60 + 49*z**3/6 - 17*z. Let v(b) be the second derivative of c(b). Suppose v(q) = 0. Calculate q.
0, 2
What is w in 0 - 3/4*w**4 - 1/2*w + 3/4*w**2 + 1/4*w**5 + 1/4*w**3 = 0?
-1, 0, 1, 2
Let n(y) = 5*y**4 - 46*y**3 - 493*y**2 + 1116*y - 576. Let t(q) = 6*q**4 - 46*q**3 - 495*q**2 + 1118*q - 576. Let f(w) = -7*n(w) + 6*t(w). Factor f(b).
(b - 1)**2*(b + 24)**2
Let o = 179 + -176. Let k(l) be the second derivative of 1/6*l**o + l - 1/3*l**4 + 3/20*l**5 + 0*l**2 + 0. Determine q, given that k(q) = 0.
0, 1/3, 1
Let q(u) be the third derivative of 3*u**8/112 + 17*u**7/35 + 143*u**6/40 + 68*u**5/5 + 55*u**4/2 + 24*u**3 - 2*u**2 + 10*u. Let q(x) = 0. Calculate x.
-4, -3, -2, -1/3
Let g be 1063/(-15) + (-3)/(-15). Let i = -70 - g. Factor -i*t - 25/6*t**4 - 4*t**2 + 0 - 15/2*t**3.
-t*(t + 1)*(5*t + 2)**2/6
Let k(m) be the second derivative of m**6/135 + m**5/10 - m**4/18 - 25*m**3/27 + 2*m**2 - 697*m. Factor k(g).
2*(g - 1)**2*(g + 2)*(g + 9)/9
Let j(n) be the first derivative of n**3/4 + 15*n**2/2 + 75*n - 97. Find z such that j(z) = 0.
-10
Let v(p) = 2*p - 17. Let t be v(10). Suppose 3*z + t*z = 18. Suppose 2/9*r**z - 2/9*r**2 - 4/9*r + 0 = 0. What is r?
-1, 0, 2
Factor -13/4*h - 11/2*h**4 - 1/2 - 8*h**2 - 5/4*h**5 - 19/2*h**3.
-(h + 1)**4*(5*h + 2)/4
Let m = -376 - -376. Let l(x) be the second derivative of 1/75*x**6 + 11/15*x**3 + m + 3*x - 3/5*x**2 + 3/25*x**5 - 7/15*x**4 - 1/105*x**7. Factor l(v).
-2*(v - 1)**4*(v + 3)/5
Let r(a) be the first derivative of a**6/21 + 2*a**5/7 + a**4/14 - 2*a**3 - 18*a**2/7 - 146. Suppose r(m) = 0. What is m?
-3, -1, 0, 2
Let l(n) be the second derivative of -n**4/108 + 5*n**3/54 - n**2/3 - 2*n + 29. Factor l(s).
-(s - 3)*(s - 2)/9
Let a(d) be the first derivative of 1/18*d**4 - 15 + 0*d - 2/9*d**3 + 2/9*d**2. Determine j so that a(j) = 0.
0, 1, 2
Let n(j) = 27*j**3 - 64*j**2 + 36*j. Let q(d) = 9*d**3 - 21*d**2 + 12*d. Let t(u) = -3*n(u) + 8*q(u). Factor t(o).
-3*o*(o - 2)*(3*o - 2)
What is i in -3/4*i**3 + 3/2*i**2 + 54 + 117/4*i = 0?
-3, 8
Let m(u) be the first derivative of -5*u + 10/3*u**3 + 0*u**2 + 0*u**4 - u**5 + 15. Factor m(d).
-5*(d - 1)**2*(d + 1)**2
Suppose -10 = -65*v + 60*v. Let o(n) be the second derivative of 0*n**v + 0*n**3 - 1/30*n**6 + 1/12*n**4 - 8*n + 0*n**5 + 0. Suppose o(r) = 0. What is r?
-1, 0, 1
Let l(c) be the third derivative of -3*c**6/20 + 5*c**5/2 + 53*c**4/12 + 3*c**3 + 62*c**2. Factor l(n).
-2*(n - 9)*(3*n + 1)**2
Let g be 36/(-30)*10/(-1). Suppose -y - 5*q - g = 0, -5*q - 22 = -7. Determine b, given that -b**4 + 0*b**3 - 2*b**4 + y*b**3 + 3*b**2 + 0*b**3 - 3*b = 0.
-1, 0, 1
Let o(z) be the first derivative of 1/5*z**5 - 6*z - 17/2*z**2 - 22 - 5*z**3 - 3/4*z**4. Factor o(v).
(v - 6)*(v + 1)**3
Suppose 0*c + 2*c + 2 = 0. Let r(q) = -5*q - 3. Let z be r(c). Let 5*j**3 - 3*j**z + 21/2*j**4 + 9/2*j**5 + 1/2 - 3/2*j = 0. What is j?
-1, 1/3
Suppose 2*n + 1 - 5 = 0. Suppose -n*y + 6 = 2. Let 3/5*t + 6/5*t**y - 6/5 - 3/5*t**3 = 0. What is t?
-1, 1, 2
Let y(a) be the second derivative of 5*a**4/42 + 3*a**3 - 26*a**2/7 - 2*a + 65. Suppose y(c) = 0. What is c?
-13, 2/5
Let h(q) = 9*q**2 - 8*q - 9. Let x be h(5). Determine u, given that 420*u - 100*u**2 - x - 98*u**2 - 4 - 47*u**2 = 0.
6/7
Let q(r) be the first derivative of 0*r + 1/12*r**4 + 0*r**2 + 0*r**3 - 1 + 11/30*r**5 + 1/4*r**6. Factor q(k).
k**3*(k + 1)*(9*k + 2)/6
Solve 44/3*b**4 - 116/3*b**3 - 2/3*b**5 + 118/3*b + 32/3*b**2 - 76/3 = 0.
-1, 1, 2, 19
Let w(q) be the first derivative of -2*q**3/3 + 9*q**2 + 44*q - 224. Let w(x) = 0. What is x?
-2, 11
Let m(x) = 15 - 9 + x**2 - x**3 - 5. Suppose -4*t + 0*t - 16 = 0. Let q(b) = 7*b**3 - 6*b**2 - b - 9. Let y(w) = t*q(w) - 36*m(w). Factor y(l).
4*l*(l - 1)*(2*l - 1)
Let u = -4197 + 20987/5. Find w, given that u + 2/5*w**2 + 4/5*w = 0.
-1
Let q(m) be the third derivative of -8/27*m**3 + 1/9*m**4 - 1/45*m**5 - 32*m**2 + 1/540*m**6 + 0*m + 0. Find j such that q(j) = 0.
2
Let w(t) = t**2 - 5*t + 4. Let v be w(5). Suppose -v = -18*f + 16*f. Let -9 - 4*d - 7 - d**f + 12 = 0. What is d?
-2
Let u(w) = -3*w**3 + 80*w**2 - 128*w + 75. Let y be u(25). Factor 3*d**3 + 9/4*d**2 + y*d + 1/2*d**5 - 11/4*d**4 + 0.
d**2*(d - 3)**2*(2*d + 1)/4
Let l(u) = 9*u**4 - 39*u**3 + 45*u**2 - 15*u - 2. Let z(w) = w**4 + 2*w**3 - 3*w**2 - w + 2. Let b(n) = l(n) + 2*z(n). Factor b(o).
(o - 1)**3*(11*o - 2)
Factor -20708784/7*n**3 - 64/7 - 218622996/7*n**4 + 114579522/7*n**5 - 103008*n**2 - 11104/7*n.
2*(n - 2)*(87*n + 2)**4/7
Let w(u) be the first derivative of -3*u**4/4 + 35*u**3 - 99*u**2 + 179. Determine s so that w(s) = 0.
0, 2, 33
Let l(h) be the second derivative of -h**4/12 - 29*h**3/2 + 451*h. Find v such that l(v) = 0.
-87, 0
Let i(h) = h**2 + 8*h + 13. Let o be i(-6). Let t be o/(1 + -2) + 3. What is r in 52*r - 56*r - 11*r**t - r**2 = 0?
-1/3, 0
Factor 1/2*k + 1/2*k**2 - 1.
(k - 1)*(k + 2)/2
Suppose -2460*w + 2490*w - 60 = 0. Suppose -1/2*b**3 + b**w + 0 - 1/2*b = 0. What is b?
0, 1
Let t(k) be the first derivative of -2*k**5/75 + k**4/6 - 2*k**3/15 - k**2/3 + 8*k/15 - 97. Solve t(y) = 0.
-1, 1, 4
Let p(z) = -z**4 - 8*z**3 - 39*z**2 - 37*z - 11. Let g(o) = -3*o**4 - 16*o**3 - 79*o**2 - 73*o - 21. Let k(u) = -3*g(u) + 7*p(u). Factor k(m).
2*(m - 7)*(m + 1)**3
Find q, given that 36*q**2 + 11*q**3 - 4*q**4 + 17*q**3 - 11*q**3 + 11*q**3 - 28*q - 32 = 0.
-1, 1, 8
Let u(f) be the first derivative of f**4/10 - 44*f**3/15 + 121*f**2/5 - 177. Factor u(l).
2*l*(l - 11)**2/5
Suppose 0 = 3*j - 5*c - 8, -2*j = 2*j - 4*c. Let l be 201/12 - 1/j. Let 16 + 64*r + 46*r**3 - 46*r**3 + 140*r**4 - l*r**2 - 19*r**2 - 184*r**3 = 0. Calculate r.
-2/5, -2/7, 1
Let b(j) be the second derivative of -j**7/5040 - j**6/144 - 5*j**5/48 - 13*j**4/6 - 16*j. Let x(i) be the third derivative of b(i). Find n such that x(n) = 0.
-5
Let z(w) = -59*w + 7. Let r be z(2). Let n = r + 113. Let 0 - 3/2*h**3 + 5/2*h**n - 1/2*h**4 - h + 1/2*h**5 = 0. Calculate h.
-2, 0, 1
Let k(c) be the third derivative of -c**6/24 + c**5/3 - 5*c**4/6 - 2*c**2 + 52. Factor k(n).
-5*n*(n - 2)**2
Let a(b) be the first derivative of b**6/39 + 24*b**5/65 + 49*b**4/26 + 60*b**3/13 + 76*b**2/13 + 48*b/13 + 80. Solve a(q) = 0.
-6, -2, -1
Let b = 1498/1125 - -2/1125. Factor 2/3*i**4 + b*i**3 + 0 + 2/3*i**2 + 0*i.
2*i**2*(i + 1)**2/3
Suppose -34*m - 12 = -37*m. Factor m + 8*v**3 - 283*v**3 - 756*v**4 - 324*v**5 - 373*v**3 - 8 - 264*v**2 - 52*v.
-4*(v + 1)*(3*v + 1)**4
Let u = 375 + -373. Let z(t) be the first derivative of 1/3*t**u - 7/12*t**4 + 5/9*t**3 + 0*t + 3. Factor z(d).
-d*(d - 1)*(7*d + 2)/3
Let s be (19 - -6 - 12) + -8. Let -8*b - 5/4*b**s - 69/2*b**3 + 47/4*b**4 + 32*b**2 + 0 = 0. Calculate b.
0, 2/5, 1, 4
Let g(h) be the third derivative of -h**7/315 + 2*h**6/45 - 4*h**5/15 + 8*h**4/9 - 16*h**3/9 - 123*h**2. Solve g(i) = 0.
2
Let b(q) be the first derivative of 5*q**3/3 + 5*q**2 - 76. Factor b(t).
5*t*(t + 2)
Let s(m) be the first derivative of -m**7/280 + m**6/10 - 6*m**5/5 + 8*m**4 + m**3/3 + 13. Let y(b) be the third derivative of s(b). Factor y(v).
-3*(v - 4)**3
Let v = -2 + 4. Let c be 2/6 + 1 - (-6)/9. Solve 2*w**v + 0*w**2 + 2*w**4 - c*w**4 - 2*w**4 = 0.
-1, 0, 1
Let w(u) = -525*u**2 - 85*u + 1920. Let l(n) = -44*n**2 - 7*n + 160. Let j(z) = 35*l(z) - 3*w(z). Suppose j(t) = 0. What is t?
-16/7, 2
Let d(t) = -8*t**2 + 8*t - 9. Let g(m) = -23 + 19 + 3*m - 4*m**2 + m. Let h(v) = 4*d(v) - 9*g(v). Factor h(x).
4*x*(x - 1)
Let m(c) be the third derivative of 7/600*c**6 - 1/10*c**4 + 2/15*c**3 + 0 + 0*c - 3/100*c**5 - 6*c**2. Factor m(a).
(a - 2)*(a + 1)*(7*a - 2)/5
Let c(l) be the third derivative of l**5/270 + 2*l**4/27 - 11*l**3/9 - 25*l**2 + 2. Factor c(o).
2*(o - 3)*(o + 11)/9
Let v = 74 - 70. Let r be (204/33 - 6)/(2/v). Factor -r + 2/11*u**2 - 2/11*u.
2*(u - 