4)/4
Factor 9*v + 6*v**2 - v**2 + 19*v - 33*v.
5*v*(v - 1)
Suppose 0 = x + 3, -5*x - 16 = -3*g + 20. Let p(o) = 2*o - 9. Let q be p(g). Let -3/5*f**q - 12/5*f**2 + 6/5 - 3/5*f + 6/5*f**4 + 6/5*f**3 = 0. Calculate f.
-1, 1, 2
Factor -663 - 90*l - 889 + 3*l**2 + 2227.
3*(l - 15)**2
Let r(u) be the third derivative of u**7/140 - u**6/80 - 3*u**5/20 + u**4/4 + 2*u**3 - 39*u**2 - 6*u. Factor r(c).
3*(c - 2)**2*(c + 1)*(c + 2)/2
Suppose -q - 5*u - 175 = -1, -q - 170 = 4*u. Let o be (-12)/q - (-4)/14. Let 2/11*c + 0 + 2/11*c**3 + o*c**2 = 0. Calculate c.
-1, 0
Let f(q) = -4 + 7*q - 12 - 4*q**3 + 12*q**2 + 3*q**3 + 10*q. Let w be f(13). Determine t, given that -4 + 4 - 12 + 9*t**3 - w*t + 3*t**2 = 0.
-2, -1/3, 2
Let m(f) be the second derivative of f**5/90 - f**4/54 - 11*f**3/9 - 7*f**2 + 214*f. Suppose m(u) = 0. What is u?
-3, 7
Let r(z) be the first derivative of z**3/12 - z**2/2 - 3*z + 69. Solve r(b) = 0 for b.
-2, 6
Let k(a) = -5 - 1 + 8 + 3*a - 6. Let n be k(3). Determine i, given that -10*i**5 - 41*i**2 + 85*i**4 + 43*i**3 + 7*i**5 - 72*i**n - 4 + 32*i - 40*i**2 = 0.
-1, 1/3, 2/5, 1
Let m(t) = 2607*t - 13035. Let d be m(5). What is w in 0*w + d + 5/2*w**5 + 0*w**2 + 15/2*w**4 + 5*w**3 = 0?
-2, -1, 0
Let k(d) = 5*d**3 - 9. Let q be k(4). Solve 327*t + 1 + 4*t**2 - q*t - 1 = 0.
-4, 0
Let v(a) be the second derivative of -a**7/630 + a**5/30 + a**4/2 + 5*a. Let j(o) be the third derivative of v(o). Factor j(k).
-4*(k - 1)*(k + 1)
Let h(y) = y + 3. Let f be h(-3). Factor -i**2 + 5*i - i + f*i.
-i*(i - 4)
Let t = 2 + 2. Let s = -2 + t. Let 0*h + 5*h + 2*h**s - 2*h + h**2 = 0. What is h?
-1, 0
Suppose a = -3*a + 4, -5*n = -5*a - 5. Find s such that -3*s**n + 9*s**2 - 4*s**2 - 2 = 0.
-1, 1
Let b(v) be the second derivative of v**6/540 - v**5/90 - 4*v**3/3 - 2*v. Let t(l) be the second derivative of b(l). Factor t(d).
2*d*(d - 2)/3
Factor 4*y**2 + 14 - 26*y**3 + 0*y + 6*y**2 + 23*y + 27*y**3.
(y + 1)*(y + 2)*(y + 7)
Let s(v) be the first derivative of -5*v - 2/45*v**6 + 4 - 3/20*v**5 - 1/6*v**4 - 1/18*v**3 + 0*v**2. Let w(z) be the first derivative of s(z). Solve w(h) = 0.
-1, -1/4, 0
Let l(z) = 361*z**2 - 71*z + 4. Let v = 26 - 21. Let o(h) = 361*h**2 - 70*h + 4. Let s(b) = v*o(b) - 6*l(b). Suppose s(n) = 0. Calculate n.
2/19
Suppose 0 = -4*c - 2*a + 2, -12 = -5*c + 5*a + 13. Let f be ((-1)/c)/((-4)/8). Find z, given that -f + z + 2*z**2 + z**2 - 2*z**2 + 3*z**3 - 4*z**3 = 0.
-1, 1
Let z(a) be the third derivative of -a**6/300 + 3*a**5/50 - 2*a**4/15 + a**2 + 18*a. Factor z(n).
-2*n*(n - 8)*(n - 1)/5
Let f(w) = 3*w**2 + 2 - 2*w**2 - 2*w - 4 + 5*w. Let h be f(1). Let -14*g**2 + 1 + 2 + h*g - 1 + g = 0. Calculate g.
-2/7, 1/2
Let h(t) be the first derivative of -t**6/75 - t**5/50 + t**4/15 + 17*t - 4. Let m(l) be the first derivative of h(l). Suppose m(b) = 0. Calculate b.
-2, 0, 1
Suppose -16 = 13*g - 51 - 17. Factor 16/9 - 2/9*x**5 - 2/9*x**3 + 8/9*x**g + 8/9*x - 20/9*x**2.
-2*(x - 2)**3*(x + 1)**2/9
Suppose 4*y = -z - 135, -4*z + 54 = -y - y. Let l = y - -35. Solve 0*x + 0*x**l + 0*x**4 + 2/11*x**5 - 2/11*x**3 + 0 = 0.
-1, 0, 1
Let c = 1 - -3. Suppose -c*h + 1 = -7. Factor 7*u**h + 7*u**2 + 18*u + 4 + 0.
2*(u + 1)*(7*u + 2)
Let r(k) = 2*k**2 + 3*k. Let u be r(-2). Let s be (6/(-4))/(6/(-104)). Let -s - u*b**2 + 26 + 2*b**4 = 0. Calculate b.
-1, 0, 1
Let h(v) = v - 2. Let j be h(5). Let x be 231/110 - (-2)/(-20). Factor 25*y + 20*y**4 + 6*y**5 - 31*y**j - 10*y**x - 10 - y**5 - 10*y**5 + 11*y**3.
-5*(y - 2)*(y - 1)**3*(y + 1)
Let i(b) be the third derivative of -1/780*b**6 - 22*b**2 + 0*b**4 + 0 + 0*b**3 + 1/390*b**5 + 0*b. Factor i(r).
-2*r**2*(r - 1)/13
Let x(y) be the second derivative of -y**4/8 + 11*y**3/2 + 69*y**2/4 - 396*y. Factor x(k).
-3*(k - 23)*(k + 1)/2
Let j(w) = -39*w**3 + 411*w**2 - 1040*w + 942. Let c(r) = -r**3 - 6*r**2 + 3. Let x(s) = 6*c(s) + j(s). Let x(d) = 0. What is d?
8/3, 3
Let q(g) be the second derivative of -289*g**4/6 - 68*g**3/3 - 4*g**2 + 27*g. Suppose q(v) = 0. Calculate v.
-2/17
Let u = 541/3 - 185. Let h = u + 5. Find i such that -1/3*i**2 + h*i + 2/3 = 0.
-1, 2
Suppose 142 - 106 = 3*d. Determine l, given that -12*l + 12*l**3 + 0*l**4 + 4*l**4 + 8*l**2 - d*l**2 = 0.
-3, -1, 0, 1
Suppose w - 16 = -3*z, 4*z = z + w + 14. Let m(v) be the first derivative of 0*v**z + 4 + 0*v + 0*v**3 - 1/3*v**6 + 1/2*v**4 + 0*v**2. Factor m(a).
-2*a**3*(a - 1)*(a + 1)
Let i = 873 - 863. Let v(m) be the first derivative of -3/20*m**5 + 1/4*m**3 - 3/8*m**2 - i + 3/16*m**4 + 0*m. Factor v(r).
-3*r*(r - 1)**2*(r + 1)/4
Let x be (10 - 5 - -2) + -2. Let h be (16/x)/((-14)/(-5)). Factor -8/7 - 2/7*y**2 + h*y.
-2*(y - 2)**2/7
Let -643*h**4 - 24 - 1179*h**3 - 762*h**2 - 243*h**5 - 447*h - 221*h**4 + 219*h = 0. What is h?
-1, -2/3, -2/9
Let d = -4/85 - -198/595. Let u = -8 + 11. Determine v so that 2/7*v - 2/7 + d*v**2 - 2/7*v**u = 0.
-1, 1
What is t in -1543*t**4 - 437*t**4 - 2930*t**2 - 160 - 497*t - 405*t**5 - 3545*t**3 - 623*t = 0?
-2, -1, -4/9
Let k(u) be the first derivative of 3*u**4 + 28*u**3/3 + 10*u**2 + 4*u - 254. Determine l, given that k(l) = 0.
-1, -1/3
Suppose 3*x = 7*x - 484. Let a = x + -118. Suppose -2/7 - 4/7*b + 0*b**2 + 4/7*b**a + 2/7*b**4 = 0. Calculate b.
-1, 1
Let p(h) be the second derivative of 3*h**2 + 0 - 16/3*h**3 + 95/24*h**4 - 5/8*h**5 + 10*h. Factor p(g).
-(g - 3)*(5*g - 2)**2/2
Let s(x) be the third derivative of -x**8/112 - 8*x**7/35 - 21*x**6/10 - 36*x**5/5 - 63*x**2. Factor s(k).
-3*k**2*(k + 4)*(k + 6)**2
Let n(b) be the second derivative of -b**6/10 - 12*b**5/5 - 35*b**4/4 + 26*b**3 - 272*b + 1. Factor n(o).
-3*o*(o - 1)*(o + 4)*(o + 13)
Let x(q) = -333*q**2 + 99*q - 8. Let d(o) = 166*o**2 - 49*o + 4. Let i(w) = 10*d(w) + 6*x(w). Factor i(v).
-2*(13*v - 2)**2
Let f(u) be the first derivative of 7*u**5/5 + u**4/8 - u**3 + 4*u**2 - 19. Let r(c) be the second derivative of f(c). Factor r(p).
3*(4*p - 1)*(7*p + 2)
Let s = -14 - -41. Let a = s - 21. Find u such that -1 - 2 - 14*u - 10*u**2 - 9 - 2*u**3 + a = 0.
-3, -1
Let l be (162/360 - 1)*-44. Factor -1/5*y**2 - l + 22/5*y.
-(y - 11)**2/5
Let n be ((-1)/(-3))/((-2)/9) + (-8246)/(-1364). Factor 20/11*x - n - 2/11*x**2.
-2*(x - 5)**2/11
Let y(j) = -34*j**2 - 984*j - 10091. Let f(o) = -18*o**2 - 492*o - 5046. Let u(a) = 5*f(a) - 3*y(a). Determine z, given that u(z) = 0.
-41/2
Let l(v) be the second derivative of 0*v**2 + 0*v**3 - 1/45*v**6 + 0 - 1/30*v**5 + 15*v + 1/9*v**4. Solve l(w) = 0 for w.
-2, 0, 1
Let m be -21 + (-19)/((-114)/138). Factor -10/3*f + 5 - 5/3*f**m.
-5*(f - 1)*(f + 3)/3
Let h(t) be the second derivative of t**7/70 + t**6/25 - 9*t**5/100 - 2*t**4/5 - 2*t**3/5 + 6*t - 3. Suppose h(i) = 0. What is i?
-2, -1, 0, 2
Determine t, given that 0 + 95*t**2 - 32/3*t**3 - 150*t + 1/3*t**4 = 0.
0, 2, 15
Factor 3/2*w**2 + 1/2*w**4 + 0 + 1/2*w + 3/2*w**3.
w*(w + 1)**3/2
Let x be (259/(-14) + 2)*(-4)/6. Find m, given that -x - 5*m**2 + 0*m**2 + 4*m**2 + 7*m + 1 = 0.
2, 5
Suppose 0 = -8*n + 9*n - 7. Let w(g) = -2*g**2 + 12*g + 16. Let z be w(n). Factor 0 - 2/9*b**3 + 0*b + 2/9*b**z.
-2*b**2*(b - 1)/9
Let k(b) be the first derivative of -b**5/15 + 13*b**4/12 - 41*b**3/9 + 47*b**2/6 - 6*b - 479. Factor k(y).
-(y - 9)*(y - 2)*(y - 1)**2/3
Let m(g) be the third derivative of 4/105*g**7 + 31*g**2 + 0*g + 0 + 1/6*g**4 - 1/84*g**8 + 0*g**3 + 0*g**6 - 2/15*g**5. Factor m(f).
-4*f*(f - 1)**3*(f + 1)
Suppose 2*w - u - 1 = 3*w, -3*u = 4*w. Factor -67*f**4 + 16*f**2 + 5 - 1 + 14*f + 4*f**w - 2*f**5 + 63*f**4.
-2*(f - 2)*(f + 1)**4
Let t(b) be the second derivative of -b**6/90 + b**5/20 + b**4/12 - 11*b**3/18 + b**2 - 175*b. Determine o so that t(o) = 0.
-2, 1, 3
Suppose 159/2*t**2 - 48*t + 105/2*t**3 + 6 = 0. Calculate t.
-2, 1/5, 2/7
Let h(x) be the second derivative of 2*x**6/135 + x**5/20 + x**4/54 - 2*x - 97. Factor h(r).
r**2*(r + 2)*(4*r + 1)/9
Factor 36/5 + 12/5*t - 3/5*t**2.
-3*(t - 6)*(t + 2)/5
Let z(a) = a**2 + a + 1. Let c(h) = 4*h**3 + 2*h**2 - 2*h + 6. Let x = -35 - -29. Let p(q) = x*z(q) + c(q). Factor p(r).
4*r*(r - 2)*(r + 1)
Let n(t) be the first derivative of -t**7/840 + t**5/10 + 2*t**4/3 - 13*t**3/3 + 32. Let s(p) be the third derivative of n(p). What is o in s(o) = 0?
-2, 4
Suppose 3*o + 119 = -0*l + 5*l, -2*l - 4*o = -58. Solve l*j**3 + 13*j**4 + 12*j