)/4
Find d such that -96 - 2/3*d**2 - 16*d = 0.
-12
Let u be 2 + 0/(2/2). Suppose 3*g - 3 = u*g. Suppose 5/4*y**4 - 17/4*y**g + 5*y + 3/2*y**2 - 2 = 0. Calculate y.
-1, 2/5, 2
Let x(l) = -9*l**3 + 82*l**2 - 68*l + 5. Let h(w) = -w**3 + 2*w**2 + 1. Let j(d) = 5*h(d) - x(d). Find b such that j(b) = 0.
0, 1, 17
Let m(h) = 3*h**2 + 4*h - 4. Suppose -3*v + 6 = -0. Let y be m(v). Solve 11*j**3 + 8*j**4 - 22*j**4 - 3*j**2 + 2 - j**2 - 11*j + y*j**2 = 0.
-1, 2/7, 1/2, 1
Let q be -1 - 5/((-35)/7). Let u(i) be the first derivative of -2 - 6/5*i**5 - 5/2*i**4 + q*i - 4/3*i**3 + 0*i**2. Suppose u(g) = 0. Calculate g.
-1, -2/3, 0
Factor -2*q**2 + 0*q**4 + 19*q**4 - 11*q**4 - 2*q**2 + 4*q**3.
4*q**2*(q + 1)*(2*q - 1)
Factor 42/5*a + 1/5*a**2 + 441/5.
(a + 21)**2/5
Let g = -727/2 + 435. Let b = 72 - g. What is f in 1/2*f**3 - b*f + 0*f**2 + 0 = 0?
-1, 0, 1
Let b(k) be the second derivative of -k**5/80 - 3*k**4/16 - 31*k. Determine i, given that b(i) = 0.
-9, 0
Let u be (-4434)/(-270) + (-16)/72. Factor -27/5*j**2 + 81/5*j - u + 3/5*j**3.
3*(j - 3)**3/5
Let s(x) be the second derivative of 1/2*x**3 - 1/4*x**4 + 1/20*x**5 + 0 - 17*x - 1/2*x**2. Determine a so that s(a) = 0.
1
Let t = -39 + 43. Factor -2*z**2 + 0*z**2 - 5*z + t - 19*z - 2*z**2 + 24*z**3.
4*(z - 1)*(z + 1)*(6*z - 1)
Let s(o) be the third derivative of -o**8/80640 - o**7/10080 + o**5/15 - 11*o**2. Let d(u) be the third derivative of s(u). Solve d(c) = 0.
-2, 0
Let l(d) = -2*d**4 + d**2 + d - 1. Let v(n) = 2*n**5 - 212*n**4 + 5190*n**3 + 16851*n**2 + 17281*n + 5831. Let k(t) = l(t) - v(t). Let k(o) = 0. What is o?
-1, 54
Suppose -14 = 2*i + 2*u, 37 = -14*i + 11*i - 5*u. Factor 5/4*a**2 + 2*a + 1/4*a**3 + i.
(a + 1)*(a + 2)**2/4
Let c = -347 + 347. Let z(j) be the second derivative of 1/5*j**3 - j + 0*j**2 + c - 1/4*j**4. Factor z(a).
-3*a*(5*a - 2)/5
Let n(r) be the third derivative of -r**7/70 - 21*r**6/40 - 99*r**5/20 + 121*r**4/8 - 204*r**2. Factor n(x).
-3*x*(x - 1)*(x + 11)**2
Let a be 69/(-27) - (6 - 9). Let o be 3/(54/74) - 3. Suppose -10/9*b**3 - 4/9*b**2 + o*b + a = 0. Calculate b.
-1, -2/5, 1
Let g(r) = r**3 - 32*r**2 - 2. Let s(k) = -9*k**3 + 225*k**2 + 15. Let h(y) = -15*g(y) - 2*s(y). Solve h(x) = 0.
-10, 0
Factor 1/2*d**2 + 0 - 9/2*d**3 - 1/2*d**4 + 9/2*d.
-d*(d - 1)*(d + 1)*(d + 9)/2
Let q = -296 + 316. Suppose -521*w + 526*w = q. Find i, given that 6/13*i**3 + 2/13*i + 6/13*i**2 + 2/13*i**w + 0 = 0.
-1, 0
Let r(p) = 3*p**2 - 34*p + 324. Let n(v) = 4*v**2 - 33*v + 324. Let q(g) = -2*n(g) + 3*r(g). Factor q(o).
(o - 18)**2
Let l(j) be the third derivative of j**9/60480 + j**8/26880 - j**7/20160 + 13*j**5/60 + 26*j**2. Let x(n) be the third derivative of l(n). Factor x(q).
q*(q + 1)*(4*q - 1)/4
Let v(z) be the second derivative of z**5/10 + 11*z**4/12 + 2*z**3/3 - 5*z**2/2 + 6*z - 33. Determine o, given that v(o) = 0.
-5, -1, 1/2
Let z be 4*1/22 - 414/2640. Let h(c) be the third derivative of 4*c**2 + 3/20*c**5 - 3/8*c**4 - z*c**6 + 0*c + 0 + 1/2*c**3. Factor h(k).
-3*(k - 1)**3
Let c(s) be the first derivative of -s**4/10 - 2*s**3/15 + s**2 - 6*s/5 - 535. Find l, given that c(l) = 0.
-3, 1
Let c(l) = 7*l**3 + 41*l**2 + 102*l - 147. Let a(u) = -76*u**3 - 452*u**2 - 1120*u + 1616. Let k(s) = -3*a(s) - 32*c(s). Suppose k(h) = 0. Calculate h.
-6, 1
Let o be (-130)/(-25) + -5 + 54/30. Let 0 + 0*f**3 + 0*f - 2/5*f**5 - 4/5*f**4 + 0*f**o = 0. What is f?
-2, 0
Let 92*p**2 + 3*p**3 - 88*p**2 + p**3 - 4*p**4 - 4*p = 0. What is p?
-1, 0, 1
Let -3 + 8/3*p - 8/3*p**3 + 10/3*p**2 - 1/3*p**4 = 0. What is p?
-9, -1, 1
Let q(w) be the first derivative of w**4/2 + 16*w**3/3 + 15*w**2 - 288. Factor q(i).
2*i*(i + 3)*(i + 5)
Suppose 0 = -w + o + 6, -2*w - 3*o + 29 = -3. Suppose 4*y - w - 2 = 0. Factor -4*l**y + 3*l**3 - 2*l**3.
-3*l**3
Let r(h) = -h + 21. Let y be r(11). Let z(s) = s**3 + s**2 + 1. Let x(d) = -5*d**3 + 35*d**2 - 10. Let q(w) = y*z(w) + x(w). Suppose q(o) = 0. Calculate o.
-9, 0
Let v = -6661 - -6661. Factor v + 2/11*w**3 + 8/11*w - 8/11*w**2.
2*w*(w - 2)**2/11
Let s = 13762 + -13760. Factor 2/5*r**s - 2/5 - 2/5*r**3 + 2/5*r.
-2*(r - 1)**2*(r + 1)/5
Factor 27/7*h - 3/7*h**3 + 15/7 + 9/7*h**2.
-3*(h - 5)*(h + 1)**2/7
Let y(i) = 2*i + 17. Let j(a) = a + 9. Let n(h) = -13*j(h) + 6*y(h). Let p be n(-18). Suppose 1/3*t - t**2 + 0 - 4/3*t**p = 0. What is t?
-1, 0, 1/4
Let o(f) be the first derivative of -3/8*f**2 - 1 - 1/12*f**3 + 1/48*f**4 + 8*f. Let n(j) be the first derivative of o(j). What is d in n(d) = 0?
-1, 3
Determine o, given that 2/5*o**3 - 8/5*o**2 - 2/5*o**5 + 0*o + 8/5*o**4 + 0 = 0.
-1, 0, 1, 4
Suppose -21*s + 18*s + 762 = 0. Suppose -4*n**3 - 5*n**2 + 2*n - s*n**4 + 253*n**4 - 4*n = 0. Calculate n.
-2, -1, 0
Let w(t) be the third derivative of t**6/24 - 5*t**4/6 - 2*t**2 - 9*t. Suppose w(j) = 0. Calculate j.
-2, 0, 2
Determine m, given that -3/2*m**3 - 1/4*m**5 + 0 - m**2 - 1/4*m - m**4 = 0.
-1, 0
Suppose 5*s - 6 = x, 2*s = -3*s - 5*x + 30. Factor a**3 - 2*a - 4*a**s + 8*a - 2 - a.
(a - 2)*(a - 1)**2
Let b(h) be the third derivative of 7/16*h**8 - 3*h**2 + 0 - 5/9*h**7 + 4/9*h**3 - 349/360*h**6 + 19/10*h**5 - 23/18*h**4 + 0*h. Find i such that b(i) = 0.
-1, 2/9, 2/7, 1
Let h(q) be the second derivative of q**5/10 + 5*q**4/12 + 2*q**3/3 + q**2/2 - 5*q - 20. Determine k so that h(k) = 0.
-1, -1/2
Let n(a) be the second derivative of -a**7/840 - a**6/360 + a**5/30 + a**4/6 - 5*a**3/3 - 2*a. Let i(l) be the second derivative of n(l). Factor i(d).
-(d - 2)*(d + 1)*(d + 2)
Factor -27/2*t**3 - 1/4*t + 3*t**2 + 27*t**4 + 0 - 81/4*t**5.
-t*(3*t - 1)**4/4
Let z = 39435 - 197163/5. Determine v so that 2/5*v**4 - z*v**3 + 2/5*v**5 - 6/5 + 4/5*v**2 + 2*v = 0.
-3, -1, 1
Let 2/3*t**3 - 4/3*t**2 + 4 - 10/3*t = 0. Calculate t.
-2, 1, 3
Let d = 1037/3 + -345. Find l such that d*l**3 + 1/3*l**2 + 0 - 1/3*l**4 - 2/3*l = 0.
-1, 0, 1, 2
Let w(d) be the first derivative of d**6/15 + 22*d**5/25 + 43*d**4/10 + 154*d**3/15 + 64*d**2/5 + 8*d - 19. Find t, given that w(t) = 0.
-5, -2, -1
Suppose 6*q + 43 = q - 2*t, 0 = 3*q + 5*t + 41. Let y = q + 8. Determine x so that -5 - y + 9*x**2 - 5 - 3*x + 2 + 3*x**3 = 0.
-3, -1, 1
Let l = -137 + 137. Let x(j) be the first derivative of -1 + 3/14*j**4 - 3/7*j**2 - 3/35*j**5 + l*j**3 + 3/7*j. Factor x(r).
-3*(r - 1)**3*(r + 1)/7
Let c(d) be the first derivative of 5*d**3/6 - 5*d**2 - 25*d/2 - 3. Factor c(n).
5*(n - 5)*(n + 1)/2
Suppose -5*m = 5*k - 40, 36 = 3*k - 19*m + 24*m. Find v such that 8/5*v**k + 16/5*v + 1/5*v**3 + 0 = 0.
-4, 0
Let i(t) be the first derivative of 8 - 10/21*t**3 + 6/7*t**2 - 2/7*t. Factor i(q).
-2*(q - 1)*(5*q - 1)/7
Let h(a) be the third derivative of -a**9/211680 + a**7/17640 + 11*a**5/60 - 4*a**2. Let p(z) be the third derivative of h(z). Factor p(x).
-2*x*(x - 1)*(x + 1)/7
Let h(b) = -b**4 - b**2 + 1. Let q(m) = 4*m**4 - 12*m**3 + 45*m**2 - 52*m + 18. Let o(j) = -12*h(j) - 4*q(j). Find p such that o(p) = 0.
1, 3, 7
Let x(t) be the second derivative of t**5/4 - 7*t**4/24 - t**3/3 - t**2/2 + 5*t. Let v(z) be the first derivative of x(z). Factor v(l).
(3*l - 2)*(5*l + 1)
Let p(a) be the first derivative of a**3/21 + a**2 - 29. Determine r, given that p(r) = 0.
-14, 0
Let x(r) be the third derivative of -1/21*r**4 + 0*r**3 - 1/1176*r**8 + 0 + 2/35*r**5 + 2/245*r**7 - 25*r**2 + 0*r - 13/420*r**6. Factor x(u).
-2*u*(u - 2)**2*(u - 1)**2/7
Let l(d) = -d**4 + 296*d**3 + 280*d**2 - 296*d - 291. Let u(k) = -10*k**4 + 2665*k**3 + 2520*k**2 - 2665*k - 2620. Let i(v) = 55*l(v) - 6*u(v). Factor i(w).
5*(w - 1)*(w + 1)**2*(w + 57)
Let z = -1935/2 + 978. Factor 3 - z*i + 27/2*i**2 - 15/2*i**3 + 3/2*i**4.
3*(i - 2)*(i - 1)**3/2
Let y be 6/(-5)*160/12. Let c be (-273)/(-715) + (y/(-22))/(-4). Factor 2/5*v**2 + 1/5*v**3 - c*v - 2/5.
(v - 1)*(v + 1)*(v + 2)/5
Find t, given that 44/5*t + 8/5*t**2 - 24/5*t**4 + 9/5*t**5 - 53/5*t**3 + 16/5 = 0.
-1, -2/3, 1, 4
Let p(l) be the second derivative of 0 + 1/10*l**6 + 0*l**3 + 1/4*l**4 + 11*l + 0*l**2 + 3/10*l**5. What is k in p(k) = 0?
-1, 0
Suppose 0 + 9/4*x**4 + 3/4*x**2 + 1/4*x**5 + 23/4*x**3 - 9*x = 0. Calculate x.
-4, -3, 0, 1
Factor -16*d**3 + 167091 - 167091 + 2*d**4.
2*d**3*(d - 8)
Let v(d) be the first derivative of d**6/15 - 4*d**5/25 + d**4/10 - 573. Factor v(n).
2*n**3*(n - 1)**2/5
Let i(d) be the thi