or s.
0, 1
Let l = -16 + 22. Suppose -8*y + 5*y - 6 = 0. Let r(p) = -p**3 - p**2 - 1. Let m(w) = -5*w**3 - 5*w**2 - 3. Let n(a) = l*r(a) + y*m(a). Factor n(j).
4*j**2*(j + 1)
Suppose d = 3*i + 5, 5*d + 3*i - 4*i - 39 = 0. Suppose -d = -3*z + z. Factor 7*o**2 - 18*o**2 - 4*o - 49*o**z - 22*o**2 - 77*o**3 + o**2.
-o*(o + 1)*(7*o + 2)**2
Let n(t) be the third derivative of -t**7/210 + t**6/24 + t**5/20 - 13*t**4/24 - 5*t**3/3 + 13*t**2 - 3*t. Factor n(m).
-(m - 5)*(m - 2)*(m + 1)**2
Let f(v) be the first derivative of v**6/200 - 2*v**5/75 + v**4/30 - 11*v**2/2 - 6. Let l(h) be the second derivative of f(h). Suppose l(o) = 0. What is o?
0, 2/3, 2
Let u be 38/304 - (7/(-8) - -1). Let z(q) be the second derivative of -q + 1/24*q**4 - 1/24*q**3 + u*q**2 - 1/80*q**5 + 0. Factor z(v).
-v*(v - 1)**2/4
Let a(y) be the second derivative of -y**4/12 - y**3 - 4*y**2 + 8*y. Let v(q) = -6*q - 8. Let k(r) = -2*a(r) + 3*v(r). Suppose k(u) = 0. What is u?
-1, 4
Let i(u) = -2 - 29 - 9*u**2 + 63*u - 2. Let s(w) = w**2 - 8*w + 4. Let t(d) = -4*i(d) - 33*s(d). Suppose t(g) = 0. What is g?
-4, 0
Let l be (2/10)/(2/30). Solve 4 + g**2 + 0*g**2 - 8 + l*g**2 - 6*g = 0.
-1/2, 2
Let l be (-4)/18 - 484/90. Let v = -74/15 - l. Factor 0 + 0*z + v*z**2.
2*z**2/3
Let l(j) be the second derivative of 2*j**6/3 - 7*j**5 + 325*j**4/12 - 125*j**3/3 - 6*j - 23. Suppose l(n) = 0. What is n?
0, 2, 5/2
Let l(y) be the second derivative of y**8/6720 - 17*y**7/2520 + y**6/9 - 8*y**5/15 + 31*y**4/12 + 7*y. Let a(b) be the third derivative of l(b). Factor a(x).
(x - 8)**2*(x - 1)
What is o in 14 - 29 - 62*o - 40 - o**2 - 25 + 19 = 0?
-61, -1
Let o(q) be the third derivative of q**7/105 + q**6/60 - q**5/30 - q**4/12 - q**2 + 69. Find c such that o(c) = 0.
-1, 0, 1
Let a = 2/13829 + 13825/27658. Find i, given that -a*i + 0 - 1/4*i**2 = 0.
-2, 0
Solve -39 + 47*j**2 + 294*j**3 + 3*j**4 - 252*j**3 - 11*j**2 - 42*j = 0 for j.
-13, -1, 1
Let p(z) be the second derivative of -z**5/4 + 5*z**4/12 + 5*z**3/6 - 5*z**2/2 - 22*z - 2. Factor p(q).
-5*(q - 1)**2*(q + 1)
Let h(z) = 3*z**3 - 21*z**2 - 3*z + 1. Let m(y) = -y**4 - y**3 + 24*y**2 + 4*y - 1. Let u(l) = -5*h(l) - 4*m(l). Factor u(f).
(f - 1)**3*(4*f + 1)
Suppose -8*m - 25 = -13*m + 3*b, -2*b = 2*m - 10. Let f = -4 - -7. Factor y**5 + 3*y**f - 3*y**4 - y**2 + 4*y**2 - 4*y**m.
-3*y**2*(y - 1)*(y + 1)**2
Suppose 28 + 24 = 13*t. Let x(d) be the second derivative of 1/48*d**t - 1/4*d**3 + 9/8*d**2 + 4*d + 0. Solve x(p) = 0 for p.
3
Factor 0 - 2/19*o**2 - 14/19*o.
-2*o*(o + 7)/19
Let m = 28 + -11. Factor -10 + 25*f**2 - 15*f**3 + 13*f**2 - 25*f + m*f**2 - 5*f**3.
-5*(f - 2)*(f - 1)*(4*f + 1)
Let a(i) = 9*i**3 + 8*i**2 + i - 3. Let o(q) = 8*q**2 - 4 + 13*q - 8*q - 5*q + 8*q**3. Let b(v) = 4*a(v) - 5*o(v). Solve b(t) = 0.
-2, -1, 1
Find b, given that -6*b + 23*b + 30*b**2 - 10*b - 15 + 3*b - 5*b**2 = 0.
-1, 3/5
Let g = 20 + 12. Suppose -7*c - g + 46 = 0. Determine o, given that 0 - 2/11*o**c + 0*o + 2/11*o**3 = 0.
0, 1
Let f(d) be the second derivative of d**6/150 - 4*d**5/25 + 13*d**4/20 + 2*d**3/15 - 26*d**2/5 - 116*d. Factor f(n).
(n - 13)*(n - 2)**2*(n + 1)/5
What is l in -12*l**2 - 64*l - 49 - 2*l**4 + 113 + 14*l**3 + 0*l**4 = 0?
-2, 1, 4
Suppose -j = 2 - 11. Suppose 7*i = 4*i + j. Solve -3/2*z**2 + 1/2*z + 3/2*z**i + 0 - 1/2*z**4 = 0 for z.
0, 1
Factor -171*r + 279*r - 148*r + 5*r**2.
5*r*(r - 8)
Let u(m) be the first derivative of m**5/10 + m**4/8 - m**3/6 - m**2/4 - 587. Let u(c) = 0. What is c?
-1, 0, 1
Let r(b) be the first derivative of 2*b**3/3 - 8*b**2 + 32*b - 78. Factor r(x).
2*(x - 4)**2
Suppose 8 = 3*d - 0*q - 2*q, 16 = -5*d - 4*q. Let b = 41336/7 + -5905. Let 3/7*k**3 + 1/7*k + d + b*k**4 + 3/7*k**2 = 0. What is k?
-1, 0
Let b = -4 - -6. Suppose 0 = -0*y - 4*y + 2*m + 8, -4*y = -5*m - b. Suppose 6*z + 2*z + 15 - 3*z**2 + y*z + z = 0. What is z?
-1, 5
Let d(g) be the first derivative of 3*g**2 - 2/3*g**3 - 13 + 0*g. Factor d(m).
-2*m*(m - 3)
Let s(w) be the first derivative of 2*w**5/15 + w**4/12 - 53. Suppose s(t) = 0. What is t?
-1/2, 0
Let w(a) be the third derivative of -1/36*a**4 + 0*a - 11*a**2 - 1/60*a**5 + 0 + 0*a**3. Factor w(i).
-i*(3*i + 2)/3
Let d(r) = -6*r**2 + 27*r + 10. Let o(n) = -n**2 - 2*n + 2. Let s(y) = 3*d(y) - 15*o(y). Let s(x) = 0. Calculate x.
0, 37
Solve 0 - 5/3*z**2 - 1/3*z**3 - 2*z = 0 for z.
-3, -2, 0
Let d(a) be the second derivative of a**9/5040 - a**8/4480 - a**7/840 + a**6/480 - 3*a**4/4 + 3*a. Let y(j) be the third derivative of d(j). Solve y(r) = 0.
-1, 0, 1/2, 1
Suppose 9*s - 24 = s. Let h(m) be the first derivative of 1 + 0*m**2 - 1/6*m**6 + 1/4*m**4 - 1/3*m**s + 1/5*m**5 + 0*m. Suppose h(y) = 0. Calculate y.
-1, 0, 1
Let d(j) be the third derivative of j**8/20160 - j**4/2 + 13*j**2. Let x(a) be the second derivative of d(a). Find z, given that x(z) = 0.
0
Let f(x) = 35*x**3 + 15*x**2 - 30*x. Let s(l) = -l**3 + l. Let v(p) = f(p) + 30*s(p). Suppose v(c) = 0. What is c?
-3, 0
Let i(l) be the first derivative of -3*l**4/20 + 3*l**3/5 - 3*l**2/5 + 129. Suppose i(x) = 0. Calculate x.
0, 1, 2
Let v be 5/475*12*5. Let h = 103/133 - v. Factor 1/7*g**3 - 2/7*g**2 + 0 + h*g.
g*(g - 1)**2/7
Let g be (0 - 4/(-10))/((-12)/(-60)). Determine l, given that 11*l**3 - 3*l**3 - 25*l**g + 9*l**2 - 4*l**3 + 16*l = 0.
0, 2
Determine b so that -1727*b**3 - 4048 - 16*b**4 + 28400*b - 64513*b**2 - 313*b**3 - 48 + 4240*b = 0.
-64, 1/4
Let w(s) be the third derivative of s**7/420 + 29*s**6/240 - 127*s**5/120 + 163*s**4/48 - 11*s**3/2 + 18*s**2 - 23. Determine n, given that w(n) = 0.
-33, 1, 2
Let t(j) = j**2 - j + 1. Let z(y) = 8*y**2 + 2*y - 27. Let s(a) = 3*t(a) - z(a). Factor s(w).
-5*(w - 2)*(w + 3)
Suppose -19*d + 17*d - 2 = 0. Let h be (2*d/(-4))/(1/4). Factor 1/5*n**3 + 0*n + 0 - 1/5*n**h.
n**2*(n - 1)/5
Suppose 0 = -4*n + 2*v - v + 9, 0 = 2*n - 2*v. Suppose -12*o = -10*o - 214. Determine z so that o - 3*z**2 - 107 - 3*z**n = 0.
-1, 0
Let 248/3*g + 1/3*g**2 + 15376/3 = 0. Calculate g.
-124
Suppose -132 = 3*l - 8*l - 112. Let 9/7*h**2 + 6/7*h**3 + 0 - 3/7*h**l + 0*h = 0. Calculate h.
-1, 0, 3
Suppose -2*s + 8 = -s. Suppose 19*a = s*a + 22. Determine b so that 0 - 1/2*b + 1/2*b**a = 0.
0, 1
Let j(c) be the third derivative of 0*c + 0*c**3 + 15*c**2 + 0 - 1/60*c**5 - 3/80*c**6 - 1/42*c**7 + 0*c**4 - 1/224*c**8. Let j(s) = 0. Calculate s.
-2, -1, -1/3, 0
Let l(o) = -o - 2. Let d(a) = -5*a**2 - 100*a - 360. Let q(f) = -d(f) + 20*l(f). Determine c, given that q(c) = 0.
-8
Let c(h) be the second derivative of -h**5/4 - 25*h**4/12 - 35*h**3/6 - 15*h**2/2 - 24*h. Factor c(l).
-5*(l + 1)**2*(l + 3)
Let i = -17/1847 + 77325/173618. Let a = 3/47 + i. Factor d - a*d**2 - 1/2.
-(d - 1)**2/2
Let b be 801/(-81) + 0 - -10. Let n(w) be the second derivative of -1/2*w**2 + 1/36*w**4 + 8*w - b*w**3 + 0. Factor n(a).
(a - 3)*(a + 1)/3
Suppose 0 = h - 4*u + 1, -7*u + 2*u - 7 = -4*h. Let -500 + 137*r**h + 145*r - 133*r**3 + 155*r - 60*r**2 = 0. Calculate r.
5
Let k(b) be the third derivative of -7*b**6/1140 - 5*b**5/38 + 11*b**4/114 + 75*b**2 + b. Factor k(y).
-2*y*(y + 11)*(7*y - 2)/19
Determine x so that -5 + 6*x**4 + 44*x + 23 + 14 - 38*x**2 + 5318*x**3 - 5362*x**3 = 0.
-1, -2/3, 1, 8
Suppose 0 = -11*v + 7*v. Let k(s) be the second derivative of -1/120*s**5 - 6*s + 1/18*s**4 - 1/9*s**3 + v*s**2 + 0. Find d, given that k(d) = 0.
0, 2
Suppose -7*b + 6*b + 3 = 0. Suppose -21 = -b*l - 3*y, 5*l + 4*y + 0*y - 40 = 0. Suppose -9*c**2 - 6*c - 3 - l*c + 6*c = 0. Calculate c.
-1, -1/3
Let n(s) = -13*s**2 + 2363*s - 175212. Let v(b) = -6*b**2 + 1182*b - 87608. Let r(g) = -2*n(g) + 5*v(g). Factor r(q).
-4*(q - 148)**2
Let z(t) be the third derivative of 0*t - 1/10*t**6 - 2*t**2 + 6*t**3 - 1/15*t**5 + 9/2*t**4 + 0. Find k such that z(k) = 0.
-3, -1/3, 3
Let r(o) be the second derivative of o**7/5880 + o**6/504 - o**5/105 + 5*o**4/2 - 20*o. Let c(b) be the third derivative of r(b). Solve c(a) = 0.
-4, 2/3
Let m(f) be the first derivative of -169*f**4/14 - 754*f**3/21 + 15*f**2 + 126*f + 549. Solve m(q) = 0 for q.
-21/13, 1
Let b be 5/2*(-252)/(-105). Suppose 2*u - 10 = -b. Let -3/4 - 189/2*t**u - 243*t**3 - 162*t**4 - 57/4*t = 0. What is t?
-1, -1/6
Let k = -24683 + 24685. Factor 0 + 1/11*z**k + 2/11*z.
z*(z + 2)/11
Let r = 41 + 4. Let t be ((-9)/6