 2/9
Let o = 11791 - 11791. Let y(b) be the first derivative of -b**4 + 20/3*b**3 + 0*b + 11 + o*b**2. Find w, given that y(w) = 0.
0, 5
Let s(y) be the second derivative of y**4/15 + 12*y**3/5 - 176*y**2/5 - 138*y - 9. Factor s(i).
4*(i - 4)*(i + 22)/5
Suppose 38 + 20*g + 1/2*g**2 = 0. What is g?
-38, -2
Suppose 0 = -d, 209 = -4*z + 4*d - 79. Let h be (-50)/z + (-39)/156. Let h*j**3 + 0 + 1/9*j**4 + 1/3*j**2 + 0*j = 0. What is j?
-3, -1, 0
Let w(c) be the third derivative of 0*c + 0*c**3 + 121*c**2 + 1/330*c**5 - 19/132*c**4 + 0. Solve w(d) = 0.
0, 19
Suppose -3*p - 41*r = -42*r - 15, -5*p - 2*r + 3 = 0. Let s(n) be the first derivative of -10 + 39/2*n**2 - 4*n**p - 9*n. Determine i, given that s(i) = 0.
1/4, 3
Suppose 0 = -0*x - x - 4, 3*b + 10 = -x. Let t be (25*(-2)/(-5))/b + 11. Determine f so that 6 - t*f + 3/2*f**2 = 0.
2
Let f(u) be the first derivative of 0*u**6 + 0*u**5 + 0*u**4 + 0*u**2 + 5 - 1/14*u**7 + 0*u**3 - 4*u. Let x(q) be the first derivative of f(q). Factor x(w).
-3*w**5
Let u be 10*(-4 + (-66)/(-15)). Find m, given that -16*m**2 - 14*m**2 - 11*m**3 - 5*m**3 - 6*m**4 - 18*m - u - 6*m**3 = 0.
-1, -2/3
Suppose 0 = 7*m + 80 - 101. Let f(p) be the second derivative of 0*p**m + 5*p - 1/54*p**4 + 1/135*p**6 + 0*p**2 + 0*p**5 + 0. Solve f(w) = 0 for w.
-1, 0, 1
Let c = 6/613945 + 1227824/6753395. Factor -c*x**2 - 24/11 + 16/11*x.
-2*(x - 6)*(x - 2)/11
Let u(y) be the third derivative of -y**6/900 - 2*y**5/225 + y**4/180 + 4*y**3/45 + 1748*y**2. Solve u(r) = 0.
-4, -1, 1
Let m(a) = 8*a**4 - 106*a**3 - 94*a**2. Let n(k) = -k**4 + k**3. Let y(z) = m(z) + 10*n(z). Determine g, given that y(g) = 0.
-47, -1, 0
Let f(w) be the third derivative of 0 + 40*w**2 + 3*w - 1323/4*w**3 - 21/8*w**4 - 1/120*w**5. Factor f(l).
-(l + 63)**2/2
Suppose 5*b + 1739 = 4654. Suppose -b = 12*n - 619. Determine l, given that 2/17*l**2 + 2/17*l**n - 12/17*l + 0 = 0.
-3, 0, 2
Let l(v) be the second derivative of -20/3*v**3 + 5/12*v**4 + 2 + 35/2*v**2 + 31*v. Factor l(b).
5*(b - 7)*(b - 1)
Suppose 0 = 3512*w - 3514*w - 10. Let x be (-9)/4*w*48/180. Let 18*i**2 - 72*i - 3/2*i**x + 96 = 0. Calculate i.
4
Let i(m) be the second derivative of 3*m**5/25 - 13*m**4/3 + 68*m**3/5 - 16*m**2 + 732*m + 9. Factor i(r).
4*(r - 20)*(r - 1)*(3*r - 2)/5
Let m(b) be the second derivative of b**4/150 - b**3 + 581*b + 1. Determine y so that m(y) = 0.
0, 75
Find v such that 23409/2 + 8262*v + 1611*v**2 + 1/2*v**4 + 54*v**3 = 0.
-51, -3
Find m, given that 2/13*m**4 - 8/13*m - 2/13*m**5 + 10/13*m**3 - 10/13*m**2 + 8/13 = 0.
-2, -1, 1, 2
Let p be (-4)/(-8)*(-132)/(-99). Factor c - p - 1/3*c**2.
-(c - 2)*(c - 1)/3
Let o(u) be the first derivative of -4*u**3 - 49*u**2/2 + 138*u + 7788. Factor o(i).
-(i + 6)*(12*i - 23)
Let y(g) be the third derivative of g**8/33600 - g**7/6300 + g**6/3600 - 43*g**4/24 - g**3/6 - 119*g**2. Let z(j) be the second derivative of y(j). Factor z(i).
i*(i - 1)**2/5
Factor 1/3*k**3 + 20/3 - 1/3*k - 20/3*k**2.
(k - 20)*(k - 1)*(k + 1)/3
Let z(l) be the first derivative of 9*l**5/5 + 66*l**4 + 562*l**3/3 - 80*l**2 - 675*l + 5104. Factor z(o).
(o - 1)*(o + 27)*(3*o + 5)**2
Let m(h) be the second derivative of h**5/40 + 7*h**4/8 + 5*h**3/3 - 1537*h. Factor m(w).
w*(w + 1)*(w + 20)/2
Suppose -24 = 9*t - 15*t. Suppose 98*u - 3*z = 96*u, -14 = -t*u - z. Solve -2*l**2 - 7/3*l**u + 1/3*l - 2/3*l**4 + 2/3 = 0 for l.
-2, -1, 1/2
Let n(x) = -16*x**2 - 224*x - 766. Let v(w) = -7 - 71*w - 4*w**2 + 15 - 200 + 15*w. Let u(k) = -2*n(k) + 9*v(k). Determine a, given that u(a) = 0.
-7
Suppose 9*r - 528 - 201 = 0. Factor 15*i**2 + 6*i + 5*i**3 - r - 2*i**3 + 57.
3*(i - 1)*(i + 2)*(i + 4)
Let c(b) be the second derivative of b**6/210 + 4*b**5/35 + 6*b**4/7 + 64*b**3/21 + 40*b**2/7 - 2*b + 79. Factor c(p).
(p + 2)**3*(p + 10)/7
Let w(f) be the first derivative of -f**6/2 + 18*f**5 - 711*f**4/4 + 208*f**3 + 3364. Find r such that w(r) = 0.
0, 1, 13, 16
Let t = -27/13 + 16525/26. Let y = -631 + t. Factor y*v**3 - 15*v**2 + 45/2*v - 10.
5*(v - 4)*(v - 1)**2/2
Let a(y) = -2*y**2. Let u(k) be the first derivative of -k**4/2 - 22*k**3/3 + 2*k**2 - 21. Let d(c) = 20*a(c) - 2*u(c). Suppose d(m) = 0. Calculate m.
-2, 0, 1
Let y(c) be the second derivative of c**7/168 - 11*c**6/120 + 17*c**5/40 - 7*c**4/24 - 35*c**3/24 + 25*c**2/8 - 4412*c. Suppose y(v) = 0. What is v?
-1, 1, 5
Let h(w) be the first derivative of 0*w - 20/3*w**3 + w**5 + 5/4*w**4 - 10*w**2 - 95. Determine d, given that h(d) = 0.
-2, -1, 0, 2
Let l(i) = i**3 + 22*i**2 + 2. Let b be l(-22). Factor 16 + 20*t**3 - 9*t**4 + 29*t**2 - 11*t**2 - 80*t + 2*t**2 + 12*t**b.
-(t - 2)**2*(t + 2)*(9*t - 2)
Let q(z) be the third derivative of z**8/84 + 68*z**7/105 + 251*z**6/30 - 682*z**5/15 - 42*z**4 + 432*z**3 - 166*z**2 + 6. Determine s so that q(s) = 0.
-18, -1, 1, 2
Suppose -o = -2*o. Suppose 6*v - 46 + 10 = o. Factor -4*n**3 - v + 4*n**3 + 10*n - 2*n**2 + 5*n**3 - 7*n**3.
-2*(n - 1)**2*(n + 3)
Let n be (663 - -51) + (-7)/(-1). Suppose -4*g + 729 = n. Suppose 0 + 0*w + 0*w**g - 2/9*w**4 + 2/3*w**3 = 0. Calculate w.
0, 3
Find x such that 36 - 18*x + 13/2*x**3 - 13*x**2 + x**4 - 1/2*x**5 = 0.
-3, -2, 2, 3
Find q such that 55*q**3 - 137*q**2 + 82*q + 0*q**4 - 21*q**2 - 2*q**4 - 44*q**2 - 197*q = 0.
-1/2, 0, 5, 23
Let j(o) be the first derivative of -o**6/12 + 7*o**5/5 - 15*o**4/4 - 22*o**3/3 + 127*o**2/4 - 33*o + 335. Suppose j(p) = 0. Calculate p.
-2, 1, 3, 11
Solve 1/4*w**5 - 3/4*w**3 + 197/4*w**2 + 0 - 65/2*w - 65/4*w**4 = 0.
-2, 0, 1, 65
Let v(j) = j**3 - j - 1. Let f(a) = -4*a**3 - 3*a**2 + 3*a + 3. Let h(z) = f(z) + 3*v(z). Solve h(s) = 0.
-3, 0
Let r = 271 + -268. Factor 9*s - r*s - 2*s**3 + 6*s + 6*s**2 - 16.
-2*(s - 4)*(s - 1)*(s + 2)
Let q(z) = -225*z + 27002. Let u be q(120). Let 48/5*g - 3/5*g**u + 51/5 = 0. Calculate g.
-1, 17
Let v = -1234632/17 + 72626. Determine x so that -8/17*x**4 + 0*x + 0 - 4/17*x**2 - v*x**3 - 2/17*x**5 = 0.
-2, -1, 0
Let c(o) be the first derivative of -5/12*o**4 - 5/3*o**3 - 18 - 33*o + 0*o**2. Let p(q) be the first derivative of c(q). Solve p(r) = 0.
-2, 0
Let x(p) = 22*p**3 - 4*p**2 - 82*p + 88. Let v(m) = -5*m**3 - 1. Let g(w) = 4*v(w) + x(w). Solve g(z) = 0.
-6, 1, 7
Let w(l) be the first derivative of 2*l**3/63 + 174*l**2/7 + 45414*l/7 - 3563. Factor w(h).
2*(h + 261)**2/21
Let c = 0 - 19. Let u = -16 - c. Suppose 2*i**2 - 4*i**2 + i**2 + i + i**4 - i**u = 0. Calculate i.
-1, 0, 1
Let w(q) be the third derivative of q**5/6 - 9215*q**4/24 - 4615*q**3/2 - q**2 - 1453. Factor w(k).
5*(k - 923)*(2*k + 3)
Let k(z) be the second derivative of z**6/15 + 10*z**5 - 208*z**4/3 + 22*z - 20. Factor k(y).
2*y**2*(y - 4)*(y + 104)
Let i(t) = t**3 - 2*t**2 + 2. Let k be i(0). Let c(y) = 7*y**2 - 10*y - 5. Let m be c(k). Factor 2/3*b**4 + 2/3*b - 2/3*b**2 - 2/3*b**m + 0.
2*b*(b - 1)**2*(b + 1)/3
Let -1892/3*k - 2420/3 - 34/3*k**3 - 1/3*k**4 - 135*k**2 = 0. What is k?
-11, -10, -2
Suppose 5*t + 15 = 10*t. Let o(z) = 75*z**3 - 74*z**3 - 3 + t. Let g(k) = -3*k**3 - k**2 + k + 1. Let j(h) = -g(h) - 2*o(h). Factor j(c).
(c - 1)*(c + 1)**2
Let j(c) = 2*c**3 + 5*c**2 - 6*c - 39. Let a be j(-5). Let w = 1476/11 + a. Find i such that 2/11*i**3 - w*i - 6/11 + 6/11*i**2 = 0.
-3, -1, 1
Let m be (-1)/(-1) + -2 + 2331783618/407880. Let l = -91/22660 + m. Suppose l*z**3 - 20/3 - 1805*z**2 + 190*z = 0. Calculate z.
2/19
Suppose -1791*l = -1855*l + 128. Suppose 2/3 + 2209/6*y**l + 94/3*y = 0. What is y?
-2/47
Suppose 0 = -2*l + b + 76 + 7, 2*l - 4*b = 74. Let 8*y**2 - 6*y - 3*y - 4*y**2 + l*y = 0. Calculate y.
-17/2, 0
Let k(i) be the first derivative of -4*i**3/9 + 116*i**2/3 + 992*i/3 + 1931. Find p such that k(p) = 0.
-4, 62
Let k(s) be the third derivative of 120*s**2 + 1/40*s**5 + 0 + 0*s - 1/32*s**4 - 1/4*s**3 + 1/160*s**6. Suppose k(x) = 0. What is x?
-2, -1, 1
Let a(t) be the first derivative of -2*t - 3/2*t**2 - 1/3*t**3 - 242. Factor a(j).
-(j + 1)*(j + 2)
Suppose j + 0*j - 2 = 0. Let l be (4 - (-36)/(-10))/((-8)/(-100)). Factor 0*u + 830*u**3 - 833*u**3 - j*u + l*u**2.
-u*(u - 1)*(3*u - 2)
What is a in 326*a**2 - 414 - 4632342*a**3 + 4632652*a**3 + 54 - 366*a - 22*a**4 = 0?
-1, 12/11, 15
Suppose 0 = 3*a + 5*z - 35, 5*a - 3*z = 2*a + 75. Suppose 2*w - 18 = -a, 2*t = -w + 3. Suppose -8/7*x + 0 - 2/7*x**t = 0. Ca