 - -5) + -1. Let j(w) = -w**2 - 4*w + 1. Let p be j(-3). Factor 1/2*q**p + 0 + 3/2*q**3 + 1/2*q + 3/2*q**t.
q*(q + 1)**3/2
Let w(l) = -l**3 - 8*l**2 - 6*l + 9. Let a be w(-7). Suppose j = v + 3, -v - 12 = -4*j - a*v. Let 0 - 1/2*o**2 - 1/4*o - 1/4*o**j = 0. Calculate o.
-1, 0
Let l(i) = i**2 + 8*i - 7. Let r(v) be the first derivative of 5*v**3/3 + 33*v**2/2 - 27*v - 2. Let d(p) = 9*l(p) - 2*r(p). Factor d(q).
-(q - 3)**2
Find p such that 2*p**5 + 0*p**4 - 2*p**5 - 2*p**5 + 2*p**4 = 0.
0, 1
Let v(n) be the third derivative of -n**6/40 + n**5/20 + n**4/4 - 6*n**2. Suppose v(f) = 0. What is f?
-1, 0, 2
Let i(b) = -b**2 - 10*b + 15. Let d be i(-11). Let s be d/22 - (-678)/22. Factor 2*f - 6 - 43*f**2 + s*f - 2*f**2.
-3*(3*f - 1)*(5*f - 2)
Let x(f) be the first derivative of -f**4/6 - 2*f**3/9 + 2*f**2/3 - 15. Determine c, given that x(c) = 0.
-2, 0, 1
Let g(c) be the second derivative of -c**4/18 - 8*c**3/9 - 16*c**2/3 + 2*c. What is f in g(f) = 0?
-4
Let d(b) be the third derivative of b**6/1800 + b**5/300 + b**4/120 + 2*b**3/3 - 2*b**2. Let v(k) be the first derivative of d(k). Suppose v(i) = 0. What is i?
-1
Suppose 0*k + 4 = 3*x - 2*k, -9 = -4*x - k. Factor -4*s**3 + x*s**5 - 14*s + 16*s + 0*s**5.
2*s*(s - 1)**2*(s + 1)**2
Let i(w) be the second derivative of -w**5/15 + w**4 - 6*w**3 + 7*w**2/2 + 8*w. Let r(d) be the first derivative of i(d). Factor r(m).
-4*(m - 3)**2
Let h = 8 + -6. Let l(z) be the third derivative of 0*z**3 - 1/420*z**7 + 0 + 0*z - 1/120*z**5 + z**h + 1/120*z**6 + 0*z**4. Factor l(s).
-s**2*(s - 1)**2/2
Factor -7/4 + 2*a - 1/4*a**2.
-(a - 7)*(a - 1)/4
Let h(m) be the second derivative of m**6/6 - m**5/4 - 32*m. Determine s so that h(s) = 0.
0, 1
Let r(s) = s**2 - 11*s + 32. Let g be r(7). Factor -6/5*m**2 + 0 + 2/5*m + 6/5*m**3 - 2/5*m**g.
-2*m*(m - 1)**3/5
Let t(p) be the second derivative of -p**7/70 - 2*p**6/25 - 3*p**5/20 - p**4/10 + 46*p. Factor t(q).
-3*q**2*(q + 1)**2*(q + 2)/5
Let v(b) be the third derivative of -b**7/280 - 3*b**6/80 - 13*b**5/80 - 3*b**4/8 - b**3/2 + 13*b**2. Factor v(j).
-3*(j + 1)**2*(j + 2)**2/4
Let r(k) = 5*k**2 + 6*k + 7. Let f(p) = -p**2 - p - 1. Let s(x) = 2*x**2 - 2*x + 1. Let j be s(1). Let g(c) = j*r(c) + 6*f(c). Factor g(h).
-(h - 1)*(h + 1)
Factor -3*b - 10*b**3 - b + 5*b**3 + b**3 - 8*b**2.
-4*b*(b + 1)**2
Let v(t) = -t + 8. Let q be v(9). Let c = -1 - q. Find u such that 4*u**2 - 2 - 14*u + 14*u**3 - 2 + c*u**2 = 0.
-1, -2/7, 1
Let m(t) = -7*t**3 - 2*t**2 + 20*t + 21. Let l(k) = -8*k**3 + 20*k + 20. Let i(h) = -3*l(h) + 4*m(h). Determine o, given that i(o) = 0.
-3, -1, 2
Let 6 + 7*g**2 - 4*g**2 + 7 - 16 = 0. What is g?
-1, 1
Let m(x) be the second derivative of -x**6/135 - x**5/45 - x**4/54 - x - 2. Factor m(g).
-2*g**2*(g + 1)**2/9
Suppose -4*g + 11 = 3. Suppose b + 4*x - 6 = 0, 4 = 3*b - g*x - 0. Factor 0*n**b + n**2 - 3*n + 2*n.
n*(n - 1)
Let y = 373/273 + -3/91. Suppose 292*h + 2 = 293*h. Factor 0 + h*a**2 - 2/3*a - y*a**3.
-2*a*(a - 1)*(2*a - 1)/3
Factor -3 + 36*k**3 + 11*k**4 + 18*k - 2*k**4 - 21*k**4 - 39*k**2.
-3*(k - 1)**2*(2*k - 1)**2
Let q(w) = -w**4 - 5*w**3 - 4*w**2 + 3*w. Let l(r) = -r**2 - 5*r - 3. Let f be l(-5). Let j(x) = -x**3 - x**2 + x. Let s(h) = f*j(h) + q(h). Factor s(b).
-b**2*(b + 1)**2
Suppose -k = 5*x - 7, 0*x = -3*x - 2*k. Solve 0 - 4/17*j**x - 2/17*j**3 + 6/17*j = 0.
-3, 0, 1
Let v be (4*2/(-4))/(-1). Let b be (5/(-2) + 2)*-4. Solve 0*t**4 + 2*t**3 - 3*t**4 - 2*t**5 + v*t**b + t**4 = 0.
-1, 0, 1
Let s(f) = -5*f**3 - 10*f**2 - 8*f - 3. Let u(k) = -5*k**3 - 10*k**2 - 7*k - 2. Let a(p) = -2*s(p) + 3*u(p). Factor a(n).
-5*n*(n + 1)**2
Let d(y) = -y**3 - 2*y**2 - 3*y - 1. Let u be d(-2). Factor -4*z**3 + 0*z**4 - 2*z**4 + u*z**2 - 7*z**2.
-2*z**2*(z + 1)**2
Let x(j) be the first derivative of 5 + 2*j + 1/3*j**3 + 3/2*j**2. Determine l, given that x(l) = 0.
-2, -1
What is a in -26*a + 5*a**3 - 15*a**2 + 201*a + a**2 - 41*a**2 - 125 = 0?
1, 5
Let j = -1/113 - 563/226. Let t = j + 3. Let -t*l**2 + 0*l + 1/2 = 0. What is l?
-1, 1
Let u(x) = -11 + 28*x**3 + 46*x - 4*x**3 - 13*x + 2*x**3 - 43*x**2. Let k(q) = -q**3 - q**2 + 1. Let y(t) = 5*k(t) + u(t). Find f, given that y(f) = 0.
2/7, 1
Let q = 111 + -111. Factor -14/11*x**2 + q + 4/11*x.
-2*x*(7*x - 2)/11
Let y(t) be the third derivative of t**5/15 - 7*t**4/6 + 4*t**3 - 12*t**2. Factor y(h).
4*(h - 6)*(h - 1)
Let x = -94 + 377/4. Factor -x*c**2 + 1/4*c + 1/2.
-(c - 2)*(c + 1)/4
Let f = -2 + -10. Let w be -2 - ((-20)/f - 4). Let w*i**3 - i**2 + 0*i + 4/3 = 0. What is i?
-1, 2
Suppose -5*p = m - 3*p - 8, p = 2*m - 1. Suppose -2 = -l, d - 5*d + m*l = -4. Factor -2 - 2*n**2 + d*n + 2.
-2*n*(n - 1)
What is k in k - k**3 + 1/4*k**4 + 0 - 1/4*k**2 = 0?
-1, 0, 1, 4
Let x(v) = -v**3 + 6*v**2 + 7*v + 2. Let s = 3 + 4. Let z be x(s). Find m such that -2/3 - z*m**2 - 2/3*m**3 - 2*m = 0.
-1
Let c be ((4 - 4) + 1)*-8. Let m = -38/5 - c. Let -2/5*r**2 + m*r + 0 = 0. What is r?
0, 1
Let g(z) be the third derivative of z**7/1680 - z**6/360 + z**5/240 + 2*z**3/3 - z**2. Let l(a) be the first derivative of g(a). Factor l(f).
f*(f - 1)**2/2
Let c be (-6)/(-18) + 14/(-105). Factor -c + 1/5*h**2 + 0*h.
(h - 1)*(h + 1)/5
Let n(z) = 9*z**4 + z**3 - 7*z**2 + 4*z + 3. Let k(v) = -v**4 - v**3 - v**2 + 1. Let d(y) = 5*k(y) + n(y). Find s such that d(s) = 0.
-1, 1, 2
Suppose -4*g + 5*g + g = 0. Let c(m) be the first derivative of 2 + g*m + 0*m**4 + 0*m**2 + 1/21*m**6 + 0*m**3 + 2/35*m**5. What is k in c(k) = 0?
-1, 0
Let u(n) = n - 1. Let c(x) = -x**3 + 9*x**2 + x - 5. Let j be c(9). Let p be u(j). Find k, given that -4*k + 3*k + p*k + k**2 = 0.
-2, 0
Let k(c) = -13*c**3 - 152*c**2 - 787*c - 648. Let g(f) = -32*f**3 - 380*f**2 - 1968*f - 1620. Let y(r) = -5*g(r) + 12*k(r). Factor y(s).
4*(s + 1)*(s + 9)**2
Let 5*m - 12*m - 13*m + 50 + 2*m**2 = 0. What is m?
5
Let n(s) be the first derivative of -s**5/80 + 3*s - 4. Let y(h) be the first derivative of n(h). Solve y(b) = 0.
0
Let q(b) be the first derivative of -b**4/2 - 5*b**3/3 + 2*b**2 + 3*b + 24. Suppose q(v) = 0. What is v?
-3, -1/2, 1
Let x = -7 + 12. Find b such that -2*b**2 - 7*b + x*b + 6*b = 0.
0, 2
Let r(w) = -2*w**2 + 16*w - 35. Let f(y) = 4*y**2 - 32*y + 69. Let t(m) = -3*f(m) - 5*r(m). Factor t(c).
-2*(c - 4)**2
Suppose -3*g + 14 = 4*g. Solve 2/11 + 12/11*y + 8/11*y**3 + 18/11*y**g = 0.
-1, -1/4
Let h = 31 + -123/4. Let o be 1*-2 - (-4 + 2). Determine t so that -h*t**2 + o*t + 1/4 = 0.
-1, 1
Let c(l) be the first derivative of l**8/2520 + l**7/420 + l**6/180 + l**5/180 + l**3/3 - 4. Let s(n) be the third derivative of c(n). Factor s(k).
2*k*(k + 1)**3/3
Factor -9/5 - 3/5*g**2 + 12/5*g.
-3*(g - 3)*(g - 1)/5
Suppose 3*s + 4*m + 16 = -m, -4*s + m + 17 = 0. Suppose -4*b = s*u, 2*b = 7*b - u. Factor 0*t + b*t**2 - 2*t - 2*t**2.
-2*t*(t + 1)
Find w such that 0*w + 0*w**3 - 1/10*w**4 - 1/10*w**5 + 0 + 0*w**2 = 0.
-1, 0
Let q(i) be the first derivative of -4 - i + 0*i**4 + 0*i**2 + 2/3*i**3 - 1/5*i**5. Suppose q(n) = 0. Calculate n.
-1, 1
Let b(g) be the second derivative of -g**7/14 + g**6/10 + 27*g**5/20 + 11*g**4/4 + 2*g**3 + 15*g. Determine d, given that b(d) = 0.
-1, 0, 4
Let n(t) be the first derivative of -2/25*t**5 + 0*t - 1/5*t**4 + 2 + 0*t**2 - 2/15*t**3. Factor n(w).
-2*w**2*(w + 1)**2/5
Let q be ((-27)/(-81))/((-2)/(-24)). Factor -2/5*p**2 + 2/5*p**3 - 2/5*p**5 + 2/5*p**q + 0*p + 0.
-2*p**2*(p - 1)**2*(p + 1)/5
Let g(u) = 5*u**3 - 18*u**2 - 19*u + 8. Let w(b) be the second derivative of -b**5/10 + b**4/2 + b**3 - 3*b**2/2 - b. Let v(a) = -3*g(a) - 8*w(a). Factor v(s).
s*(s + 3)**2
Let z(y) be the third derivative of y**6/30 + 2*y**5/15 - y**4/2 + y**2 + 28*y. Solve z(o) = 0 for o.
-3, 0, 1
Let j be (-1)/(-1 + 0) + 1. Factor -7*y**3 - 18*y**4 + 10*y**2 + y**3 - 2*y - j*y + 2*y.
-2*y*(y + 1)*(3*y - 1)**2
Let o = -44 + 72. Factor 32*k**4 + 167*k + 8*k**2 + 12*k**5 + o*k**3 - 167*k.
4*k**2*(k + 1)**2*(3*k + 2)
Let m(a) = -2*a**5 - 4*a**4 - 9*a**3 - 7*a**2 + 19*a. Let d(f) = -f**5 - f**4 + f**3 - f**2 + f. Let j(k) = 3*d(k) - m(k). Factor j(q).
-q*(q - 4)*(q - 1)*(q + 2)**2
Let b(p) = -98*p**4 + 644*p**3 - 1223*p**2 + 549*p - 75. Let o(r) = 98*r**4 - 644*r**3 + 1224*r**2 - 550*r + 74. Let f(g) = 2*b(g) + 3*o(g). Factor f(k).
2*(k - 3)**2*(7*k - 2)**2
Let k(v) be the third deri