 Suppose 4*n = s*n + 10. Factor -10*m + 3 - 7*m**2 - n*m**2 + 5 + 19*m**2.
2*(m - 4)*(m - 1)
Let c(w) be the first derivative of -w**4/18 - 16*w**3/27 - 16*w**2/9 - 526. Find p such that c(p) = 0.
-4, 0
Let c(a) = 3*a**3 + 24*a**2 + 15*a + 18. Let v(r) = -4*r**2 + 6. Let p(w) = w**2 - 1. Let g(d) = 5*p(d) + v(d). Let q(f) = -c(f) + 12*g(f). Factor q(s).
-3*(s + 1)**2*(s + 2)
Let b(y) = 5*y**2 + 8*y + 4. Let f(v) be the third derivative of -v**5/15 - v**4/3 - v**3 - 3*v**2 + 4*v. Let t(j) = -3*b(j) - 4*f(j). Let t(h) = 0. What is h?
-6, -2
Let z = 74 + -65. Let m be (-2 - (-20)/9) + 60/z. Solve -14/9*o**4 + 10/9*o**5 - 40/9*o + m*o**2 + 8/9 - 26/9*o**3 = 0 for o.
-2, 2/5, 1
Let x(y) be the third derivative of -28*y**2 + 4/45*y**7 - 1/30*y**6 + 0*y + 1/6*y**4 + 4/9*y**3 - 16/45*y**5 + 0. Determine g, given that x(g) = 0.
-1, -2/7, 1/2, 1
Let w(c) = 1 + 3 + c - 2 - 3 + c**2. Let f(s) = 16*s**2 + 36*s - 32. Let t(n) = f(n) - 20*w(n). Factor t(u).
-4*(u - 3)*(u - 1)
Let f(v) be the first derivative of -v**4 - 8*v**3/3 + 16*v**2 - 79. Determine x so that f(x) = 0.
-4, 0, 2
Let g(u) be the third derivative of -u**7/6300 + u**6/225 - 4*u**5/75 + 13*u**4/24 - 4*u**2. Let h(w) be the second derivative of g(w). Factor h(l).
-2*(l - 4)**2/5
Let q = 4224 + -4222. Find y, given that -2*y**4 + 0*y**q + 0*y + 0 + 6/5*y**5 + 4/5*y**3 = 0.
0, 2/3, 1
Suppose -8*n - 111 = -127. Determine j so that -2/7*j**n + 0*j + 0 = 0.
0
Let l = -209/30 + 7. Let g(h) be the third derivative of -1/60*h**6 + 1/12*h**4 + 2*h**2 + 0*h**3 + 0 + 0*h - 1/105*h**7 + l*h**5. Factor g(t).
-2*t*(t - 1)*(t + 1)**2
Let i(o) be the first derivative of 0*o**2 + 0*o + 58 - 2/33*o**3 + 1/22*o**4. Factor i(f).
2*f**2*(f - 1)/11
Let c(l) be the second derivative of 2/9*l**3 + 0*l**2 - 1/18*l**4 + 1/45*l**6 - 30*l + 0 - 1/15*l**5. Find r, given that c(r) = 0.
-1, 0, 1, 2
Let d(u) be the second derivative of -u**4/84 + 29*u**3/21 - 841*u**2/14 - 25*u - 1. Factor d(m).
-(m - 29)**2/7
Suppose 11*m - 3*m = 32. Let p(a) = -a**3 + 1. Let k(y) = -2*y**4 + 6*y**3 + 2*y**2 - 2*y - 4. Let d(w) = m*p(w) + k(w). Factor d(t).
-2*t*(t - 1)**2*(t + 1)
Let f(k) be the second derivative of -5*k**4/12 - 85*k**3/3 - 1445*k**2/2 - 4*k - 1. Solve f(w) = 0.
-17
Let i = 518 - 515. Let q(x) be the first derivative of 1/27*x**6 + 0*x**2 + 1/6*x**4 + 0*x - 2/27*x**i - 2 - 2/15*x**5. Solve q(u) = 0.
0, 1
Let r(f) be the second derivative of 5*f**4/12 + 3*f**3 + 25*f**2/2 - 110*f. Let t(z) = -1 - 4*z**2 + 5*z**2 + 0*z**2. Let v(q) = -r(q) + 2*t(q). Factor v(k).
-3*(k + 3)**2
Suppose 18/7*p**2 - 4/7*p + 54/7*p**4 + 2*p**5 + 62/7*p**3 + 0 = 0. What is p?
-2, -1, 0, 1/7
Let z = -413/5 - -2931/35. Let f = 831/259 - 13/37. Suppose 5/7*p**4 + 13/7*p**3 - 6/7*p**2 + z - f*p = 0. What is p?
-2, 2/5, 1
Find y such that 21*y - 10*y + 11*y - 21 + y**2 - 2*y**2 = 0.
1, 21
Factor 150 - 28 + d**2 + 16*d - 58.
(d + 8)**2
What is f in -596*f + 17 - 393*f**2 + 209*f - 22 + 11 = 0?
-1, 2/131
Factor -1/2*x**2 + 12 + 7*x - 1/2*x**3.
-(x - 4)*(x + 2)*(x + 3)/2
Let g(z) be the first derivative of z**4/4 - z**3/3 - 3*z**2 - 58. Find w, given that g(w) = 0.
-2, 0, 3
Let n(q) be the first derivative of -6*q**5/55 - 5*q**4/11 - 2*q**3/11 + 61. What is b in n(b) = 0?
-3, -1/3, 0
Let w(l) = -l**4 + l**2 - 1. Let b be 11 - 14 - (-1 + 3). Let c(f) = -2*f**4 + 12*f**3 + 20*f**2 + 6*f - 5. Let j(s) = b*w(s) + c(s). Solve j(n) = 0 for n.
-2, -1, 0
Let g(t) = -t**2 - 7*t - 2. Let l(b) = b - 2. Let j be l(-4). Let q be g(j). Factor -2/3*c**3 - 1/3*c**5 + 1/3 - c**q + 2/3*c**2 + c.
-(c - 1)*(c + 1)**4/3
Suppose 2305*u = 2277*u. Factor -2/13*b**2 - 8/13*b + u.
-2*b*(b + 4)/13
Factor 36/11*u + 2/11*u**2 - 38/11.
2*(u - 1)*(u + 19)/11
Let m(o) be the third derivative of -o**8/336 + o**7/42 - 7*o**6/120 - o**5/60 + o**4/3 - 2*o**3/3 - o**2 + 190*o. Suppose m(l) = 0. What is l?
-1, 1, 2
Let j(y) be the first derivative of y**6/21 - 12*y**5/35 + 13*y**4/14 - 8*y**3/7 + 4*y**2/7 + 86. Factor j(o).
2*o*(o - 2)**2*(o - 1)**2/7
Let t(o) be the third derivative of -o**8/2688 - o**7/280 - o**6/960 + o**5/20 - o**4/12 + 25*o**2. Suppose t(q) = 0. What is q?
-4, 0, 1
Let g(c) be the third derivative of c**7/70 - c**6/40 - 2*c**5/5 + 3*c**4/2 - 10*c**2 + 2. Factor g(p).
3*p*(p - 2)**2*(p + 3)
Suppose 64*c - 18 = 58*c. Let r(u) be the first derivative of 0*u + 6 + 1/7*u**2 + 2/21*u**c. Solve r(a) = 0 for a.
-1, 0
Factor 60/7*j + 12/7*j**3 + 184/7*j**2 + 0.
4*j*(j + 15)*(3*j + 1)/7
Let a(t) be the third derivative of 0 + 0*t + 3/4*t**3 + 1/4*t**4 - 4*t**2 + 1/40*t**5. Factor a(v).
3*(v + 1)*(v + 3)/2
Let j = 27 - 24. Suppose 2 = 5*l - 4*w, j*l - l + 5*w - 14 = 0. Suppose -5*r**2 + 9*r**4 + l*r**5 + r**5 - 7*r**2 = 0. What is r?
-2, 0, 1
Let q(w) be the first derivative of -3*w**5/10 + 3*w**4/4 + 10*w**3 - 99*w**2/2 + 135*w/2 - 274. Solve q(l) = 0 for l.
-5, 1, 3
Find b, given that -34*b**5 + 6*b**2 - 16 + 14*b**2 + 14*b**3 + 32*b**5 - 4*b**3 - 4*b**4 - 8*b = 0.
-2, -1, 1, 2
Let q(s) = -s**3 + s**2 - s - 3. Let n be q(0). Let a be 3 + -2 + n + (-36)/(-16). Factor 1/2 + a*y**3 - 3/4*y + 0*y**2.
(y - 1)**2*(y + 2)/4
Let y = 13051/39135 + -2/13045. Determine c, given that 0 + 1/3*c**2 + 1/3*c**3 - 1/3*c - y*c**4 = 0.
-1, 0, 1
Find s such that 204/7 - 80/7*s + 4/7*s**2 = 0.
3, 17
Let w be 957/(-261) + (3 - -2). Let p(k) be the second derivative of 5*k + 7/24*k**4 + w*k**3 + 0 + k**2. Factor p(o).
(o + 2)*(7*o + 2)/2
Suppose 3*p - i - 32 = 25, 0 = -4*p + 2*i + 78. Factor 13 + 3 + w**2 - p - w.
(w - 2)*(w + 1)
Let m(j) be the first derivative of -2/9*j**3 - 2/3*j**2 + 0*j - 3. What is x in m(x) = 0?
-2, 0
Let q(h) be the third derivative of -h**5/20 + 7*h**4/4 + 16*h**3 - 176*h**2. What is p in q(p) = 0?
-2, 16
Let h be ((-6)/66)/((-45)/(-24) + -2). Determine w so that -14/11*w**4 - 32/11*w**3 + h + 6/11*w**2 + 32/11*w = 0.
-2, -1, -2/7, 1
Let j(s) be the first derivative of 2*s**5/55 - 5*s**4/22 + 8*s**3/33 - 79. Determine a so that j(a) = 0.
0, 1, 4
Let b(t) be the third derivative of 0*t + 1/15*t**5 - 1/6*t**4 + 1/30*t**6 + 0*t**3 + 0 - 2/105*t**7 + 11*t**2. Solve b(r) = 0.
-1, 0, 1
Factor -14/9 + 65/9*x - 37/9*x**2 + 4/9*x**3.
(x - 7)*(x - 2)*(4*x - 1)/9
Solve -2/3*a**4 - 188/3*a**2 + 32/3*a**3 + 160*a - 150 = 0 for a.
3, 5
Let f(w) be the second derivative of -w**6/120 + 3*w**5/40 - w**4/4 + 7*w**3/6 - 9*w. Let u(x) be the second derivative of f(x). What is l in u(l) = 0?
1, 2
Let g = 53 + -47. Let u(k) be the first derivative of 7 + 3/2*k**4 + g*k**2 - 4*k - 1/5*k**5 - 13/3*k**3. Find h, given that u(h) = 0.
1, 2
Let m be (-4)/(-1)*((-9)/(-2))/9. Suppose -3*c = -12, -h - m*c = -c - 6. Factor 2/7*a**4 + 6/7*a**h - 6/7*a**3 + 0 - 2/7*a.
2*a*(a - 1)**3/7
Let d be (-56)/16 + 1687/10. Let f(l) be the first derivative of 7 - d*l**5 + 1075/2*l**4 + 49/3*l**6 - 216*l - 402*l**3 - 648*l**2. Factor f(v).
2*(v - 3)**3*(7*v + 2)**2
Factor -2/7*u**2 - 242/7 + 44/7*u.
-2*(u - 11)**2/7
Let j(q) = 2*q**2 + q + 1. Let p be j(-1). What is f in -f**2 - 10*f - f**p + 2*f**3 - 7 + 1 = 0?
-1, 3
Let c(g) = -5*g. Let f be c(-3). Let y = 40 - 13. Factor -6*m - 3 + 12 + 10*m**3 + y*m + f*m**2 - 7*m**3.
3*(m + 1)**2*(m + 3)
Suppose -2*z = -8 - 2. Let t(d) = d**3 - 5*d**2 + 2*d - 6. Let i be t(z). Factor 8*h - 8*h**3 - 2*h**4 - 32 + 8*h + 6*h**i - 12*h**3 + 24*h**2.
4*(h - 2)**3*(h + 1)
Suppose -76711*v + v**3 + 76756*v - v**3 - 3*v**3 + 6*v**2 = 0. What is v?
-3, 0, 5
Let i(t) = 8*t**2 + 5*t - 3. Let r = -30 - -36. Let p(o) = -2*o**2 - o + 1. Let y(q) = r*i(q) + 26*p(q). Factor y(k).
-4*(k - 2)*(k + 1)
Let m(z) be the second derivative of z**9/3780 - z**8/1680 - 3*z**4/2 - 7*z. Let l(h) be the third derivative of m(h). Factor l(n).
4*n**3*(n - 1)
Factor 61*w + 147*w**2 - 35 + 86*w + 59*w**3 + 52 - 4*w**4 - 46*w.
-(w - 17)*(w + 1)**2*(4*w + 1)
Let i(b) = -b**2 + 42*b + 91. Let r be i(44). Let y(l) be the first derivative of 5 + 0*l + r*l**3 - 3/5*l**5 + 0*l**4 + 3*l**2. Factor y(u).
-3*u*(u - 2)*(u + 1)**2
Suppose -2*g + 2*f - 70 = -f, -2*f + 148 = -4*g. Let w = 77 + g. Determine h, given that 17*h - 1 + 2*h**5 + 3*h - 17*h**4 - 3 - w*h**2 + h**5 + 37*h**3 = 0.
2/3, 1, 2
Let x(b) = 32*b**2 - 7*b - 25. Let k(n) = 15*n**2 - 3*n - 12. Let r(o) = 13*k(o) - 6*x(o). Factor r(c).
3*(c - 1)*(c + 2)
Let d(z)