 - 8, 2*p = -3*p + 2*v + 13. Factor 3*r - r**2 + r**4 - 2*r - r**p + 0*r**2.
r*(r - 1)**2*(r + 1)
Let q(s) = 5*s**4 + s**3 - 4*s**2. Let l(r) = 6*r**4 + r**3 - 5*r**2. Let h = -15 + 11. Let b be 5 + 1*(-2 + 0). Let d(p) = b*l(p) + h*q(p). Factor d(u).
-u**2*(u + 1)*(2*u - 1)
Let w(t) be the second derivative of -t**5/130 + 4*t**4/39 - 16*t**3/39 - 14*t. Determine b so that w(b) = 0.
0, 4
Determine o so that -6*o + 9*o**2 + 0*o**2 - 21*o**4 + 29*o**4 - 11*o**4 = 0.
-2, 0, 1
Let y(p) = -p**2 - 5*p - 4. Let l be y(-2). Factor 0 + 0*m + 0*m**l + 1/4*m**3.
m**3/4
Suppose 3*d - q = 13, 0*q - 2*q - 20 = -4*d. Let l(i) be the second derivative of i**2 + 0 + 1/60*i**6 - 1/3*i**d + 1/20*i**5 - i - 1/8*i**4. Factor l(w).
(w - 1)**2*(w + 2)**2/2
Solve 182*c**3 + 4*c**2 + 183*c**3 - 2*c - 363*c**3 - 4 = 0.
-2, -1, 1
Determine n, given that 3/4*n**4 + 9/2*n - 3*n**3 + 3/4*n**2 + 0 = 0.
-1, 0, 2, 3
Let o be (-1)/(-2)*(3 + 1). Let b(m) be the third derivative of -1/12*m**4 + 0 + 0*m + 0*m**3 - o*m**2 - 1/60*m**5. Determine y so that b(y) = 0.
-2, 0
Factor -91*j + 9*j**3 + 12*j**2 + 91*j - 3*j**4.
-3*j**2*(j - 4)*(j + 1)
Factor -2*s**2 + 14*s**3 - 2*s**3 + 3*s**2 - 11*s**3.
s**2*(s + 1)
Solve 0 - 4/5*g**3 - 8/5*g + 12/5*g**2 = 0 for g.
0, 1, 2
Let v(x) be the first derivative of x**4/4 + 2*x**3 - 4*x**2 - 7*x + 3. Let j be v(-7). Factor j*r + 0 + 4/9*r**3 - 2/9*r**2 - 2/9*r**4.
-2*r**2*(r - 1)**2/9
Let g(y) be the second derivative of -y**4/114 + 2*y**3/19 - 9*y**2/19 + 14*y. Factor g(z).
-2*(z - 3)**2/19
Let p(i) be the first derivative of i**5/210 + i**4/42 + i**3/21 + 3*i**2/2 - 3. Let k(f) be the second derivative of p(f). Let k(x) = 0. Calculate x.
-1
Let t(g) be the first derivative of -2*g**5/15 + g**4/6 + 2*g**3/9 - g**2/3 + 9. Factor t(j).
-2*j*(j - 1)**2*(j + 1)/3
Let x(d) be the first derivative of -1/25*d**5 + 0*d + 3 + 1/20*d**4 - 1/10*d**2 + 1/15*d**3. Let x(a) = 0. What is a?
-1, 0, 1
Let h = -56 + 58. Determine m so that -1/6*m**h + 0 + 0*m = 0.
0
Let c(j) be the second derivative of j**10/75600 - j**9/37800 - j**8/16800 + j**7/6300 - 2*j**4/3 - 3*j. Let t(i) be the third derivative of c(i). Factor t(o).
2*o**2*(o - 1)**2*(o + 1)/5
Let s(h) = 2*h**3 + 13*h**2 + 11*h. Let i(j) = -j**3 - 7*j**2 - 6*j. Let a(c) = -11*i(c) - 6*s(c). Find l, given that a(l) = 0.
-1, 0
Solve -16/3 + 8/3*w**4 - 28/3*w**2 + 6*w**3 - 24*w = 0 for w.
-2, -1/4, 2
Suppose -49*q + 10 = -44*q. What is l in -2/9*l**q + 2/3*l - 4/9 = 0?
1, 2
Let c(b) be the first derivative of -7/3*b**3 + 0*b + b**2 - b**4 + 2. Let c(q) = 0. Calculate q.
-2, 0, 1/4
Let a(k) be the second derivative of -k**4/18 - 4*k**3/9 - 4*k**2/3 - 61*k. Factor a(u).
-2*(u + 2)**2/3
Let h = 22 + -22. What is d in -1/2*d + h + 1/2*d**2 = 0?
0, 1
What is u in u**3 + 10*u**3 + 32*u + 5 + 9*u**3 + 40*u**2 - 7*u = 0?
-1, -1/2
Let f = -4883/6 + 814. Factor 1/6 + f*q**3 + 1/2*q**2 + 1/2*q.
(q + 1)**3/6
Let u = -242 - -782/3. Suppose -56/3*t**2 + u*t**4 - 30*t**3 + 98/3*t**5 - 8/3*t + 0 = 0. Calculate t.
-1, -2/7, 0, 1
Solve 27*f**3 + 3*f**4 - 3*f - 4*f**2 - 24*f**3 + f**2 = 0.
-1, 0, 1
Let p be 14/5 + 22/(-11). Factor 0*q**2 - 2/5 + 2/5*q**4 - p*q + 4/5*q**3.
2*(q - 1)*(q + 1)**3/5
Let j(f) be the first derivative of 3/2*f**2 + 1/4*f**4 + 2 + f**3 + f. Factor j(s).
(s + 1)**3
Let y(q) be the second derivative of 2*q**6/45 - 4*q**4/3 - 32*q**3/9 + 28*q. What is o in y(o) = 0?
-2, 0, 4
Solve 2/5 + w**4 + 3/5*w**3 - 3/5*w - 7/5*w**2 = 0.
-1, 2/5, 1
Let l(k) be the second derivative of -1/4*k**4 - k - 1/2*k**3 + 0 + 3*k**2. Factor l(o).
-3*(o - 1)*(o + 2)
Suppose 4*s - 24 = -2*f, -4*s - 10 = -6*s. What is n in n + 2 + 4*n**3 - 3*n**3 - 2*n**f - 2*n**3 = 0?
-2, -1, 1
Let -2 - 15*s**2 + 2 - 2 + 7*s + 9*s**3 + 1 = 0. What is s?
1/3, 1
Let h(v) = -v**3 - 2*v**2 + 3*v. Let g be ((-12)/10)/(4/10). Let l be h(g). Find t such that 2/5*t**2 + 2/5*t + l = 0.
-1, 0
Suppose -4*k - 14 - 6 = 0, 32 = -2*u - 4*k. Suppose 3*b = -b - 4. Let x(j) = -j**2 + 1. Let a(p) = 7*p**2 + p - 6. Let c(y) = b*a(y) + u*x(y). Factor c(i).
-i*(i + 1)
Let j be (2/(-240))/(15/(-30)). Let i(v) be the third derivative of 1/6*v**3 + 0 + j*v**6 - 1/12*v**4 - 4*v**2 + 0*v - 1/210*v**7 + 0*v**5. Factor i(a).
-(a - 1)**3*(a + 1)
Let y = 7/4 + -17/12. Let c(g) be the first derivative of 2*g - 3/2*g**2 + 1 + y*g**3. Factor c(n).
(n - 2)*(n - 1)
Factor 3*r - 1/2*r**2 - 9/2.
-(r - 3)**2/2
Let g(y) be the second derivative of y**6/40 - y**5/20 - y**4/8 + y**3/2 - 2*y**2 - 4*y. Let l(c) be the first derivative of g(c). Let l(z) = 0. Calculate z.
-1, 1
Let h(y) be the second derivative of y**4/4 - 3*y**3/2 + 11*y. Solve h(x) = 0.
0, 3
Let g(r) = 7*r**2 - 62*r - 7. Let j be g(9). Factor -2/9*o**2 + 4/3*o - j.
-2*(o - 3)**2/9
Let y(l) be the third derivative of 1/120*l**6 - 1/60*l**5 - 1/24*l**4 + 0*l + 3*l**2 + 0 + 1/6*l**3. Factor y(m).
(m - 1)**2*(m + 1)
Let o(y) = y - 3. Let q be o(5). Let r(d) be the third derivative of 0*d - 1/48*d**4 + 0*d**3 + d**q - 1/120*d**5 + 0. Let r(l) = 0. Calculate l.
-1, 0
Let i be ((-4)/6)/((-2)/6). Let y(l) = l**3 + 11*l**2 + 31*l + 24. Let t be y(-7). Factor -i*p**5 + 0 - 14/3*p**4 - 10/3*p**t + 0*p - 2/3*p**2.
-2*p**2*(p + 1)**2*(3*p + 1)/3
Suppose 0 = -5*w - q - 62, w - 40 = 5*w + 4*q. Let g = w - -19. Factor -14/5*x + 2/5 - 18/5*x**3 + g*x**2.
-2*(x - 1)*(3*x - 1)**2/5
Suppose -4*q = -9*f + 5*f + 8, 4 = 3*q - f. Factor 0 - 2/3*d**q + 4/3*d**2 - 2/3*d.
-2*d*(d - 1)**2/3
Let p = 7 - 2. Let r be (-2)/3*6/(-12). Factor -2/3 - 2/3*t**2 + 4/3*t**4 - 5/3*t + 4/3*t**3 + r*t**p.
(t - 1)*(t + 1)**3*(t + 2)/3
Let t(z) = 2*z**2 - z + 1. Let h be t(-2). Suppose h*a - 10 = 6*a. Factor 4/7 - 10/7*p - 2*p**a.
-2*(p + 1)*(7*p - 2)/7
Let s = 314/5 + -308/5. Solve 2/5*y**4 - s*y**2 - 2/5*y**3 + 2/5*y + 4/5 = 0 for y.
-1, 1, 2
Let f(h) be the third derivative of -2*h**2 + 27/10*h**5 + 0 + 0*h + 4/3*h**3 - 3*h**4. Let f(n) = 0. What is n?
2/9
Let y(d) be the second derivative of -d**4/12 - d**3/6 + 4*d. Factor y(p).
-p*(p + 1)
Let b be ((-2)/24*-9)/((-1)/(-16)). Let u = -1 - -3. Determine c so that -21/2*c**2 - u - b*c + 49/2*c**3 = 0.
-2/7, 1
Factor 1/2*j**3 + j**2 + 0 + 1/2*j.
j*(j + 1)**2/2
What is s in -137*s**2 - 4*s**3 + 137*s**2 + 4*s = 0?
-1, 0, 1
Factor 3*b + 0 + 0*b**3 - 3/2*b**4 + 9/2*b**2.
-3*b*(b - 2)*(b + 1)**2/2
Factor -2/3*z**4 + 0 + 0*z**3 + 0*z + 2/3*z**2.
-2*z**2*(z - 1)*(z + 1)/3
Let y(l) be the second derivative of -l**6/45 + 5*l**5/12 - 83*l**4/36 + 4*l**3/3 + 6*l**2 + 21*l. Solve y(s) = 0 for s.
-1/2, 1, 6
Factor -5/4 - 39/4*w**2 - 9/4*w**3 + 29/4*w.
-(w + 5)*(3*w - 1)**2/4
Let b(v) be the third derivative of 19*v**5/60 + 5*v**4/24 - v**3/3 - v**2. Let l(z) = -37*z**2 - 11*z + 3. Let f(j) = -5*b(j) - 3*l(j). Factor f(s).
(4*s + 1)**2
Suppose 2*y - 10 + 4 = 0. Let 1/2 + 3/2*l - 1/2*l**2 - 3/2*l**y = 0. Calculate l.
-1, -1/3, 1
Let m(x) = x**3 + 4*x**2 - 5*x + 3. Let h be m(-5). Let k = 204/35 - 38/7. Find p such that -2/5*p**2 + 2/5*p + 2/5 - k*p**h = 0.
-1, 1
Determine o, given that -1/7*o**2 + 0 + 4/7*o = 0.
0, 4
Let d = 15/22 - -3/44. Let p = -27/4 - -7. Let 0 + 3/4*r**2 + 1/4*r + p*r**4 + d*r**3 = 0. Calculate r.
-1, 0
Let z(h) be the second derivative of -h**4/6 + 4*h**3/3 - 3*h**2 - 11*h. Suppose z(m) = 0. Calculate m.
1, 3
Factor 2/5*j**4 + 4/5*j**2 - 6/5*j**3 + 0*j + 0.
2*j**2*(j - 2)*(j - 1)/5
Suppose -1/2*k - 2*k**4 + 0 - 4*k**3 - 5/2*k**2 = 0. What is k?
-1, -1/2, 0
Let f(t) = -12*t**2 + 22*t - 34. Let j(b) = b**2 - 2*b + 3. Let c(o) = 6*f(o) + 68*j(o). Determine x, given that c(x) = 0.
-1, 0
Suppose -5*i = -2*x - 3, -5 = -i - 5*x + 1. Solve 11*o**2 - i + 3*o - 2*o - 10*o**2 - o**3 = 0.
-1, 1
Let f(y) be the third derivative of -2*y**7/525 - y**6/300 + y**5/30 - y**4/30 + 17*y**2. Let f(n) = 0. What is n?
-2, 0, 1/2, 1
Let z(w) be the first derivative of -4*w**5/5 - 4*w**4 - 16*w**3/3 + 28. Find r such that z(r) = 0.
-2, 0
Let i(r) be the second derivative of r**7/10080 + r**6/1440 - r**4/6 - r. Let w(n) be the third derivative of i(n). Factor w(f).
f*(f + 2)/4
Determine x, given that 4/5*x**2 - 6/5*x**4 + 2/5*x**5 - 6/5*x + 2/5 + 4/5*x**3 = 0.
-1, 1
Let z(b) = -7*b**4 - b**3 + 31*b**2 - 41*b + 3. Let a(u) = 18*u**4 + 2*u**3 - 78*u**2 + 102*u - 8. Let q(l) = -5*a(l) - 12*z(l). Solve q(h) = 0 for h.
-2, 1/3, 1
Let