 g(m).
2*(m - 1)*(m + 1)**2/7
Factor 1406*b + 151*b**2 - 361 - 151*b**3 + 85*b**3 + 70*b**3.
(b + 19)**2*(4*b - 1)
Find y, given that 1/7*y**3 + 0 - y + 6/7*y**2 = 0.
-7, 0, 1
Let u(i) be the third derivative of 5*i**2 + 1/15*i**5 + 0*i**3 + 0*i + 0 + 0*i**4 + 1/105*i**7 + 1/20*i**6. Let u(c) = 0. What is c?
-2, -1, 0
Suppose 0 = f - 4*b + 1, 2*b = -0*f + 2*f - 4. Suppose -4 = 3*g - 10. Factor 1 - d**g - d + 8*d + 4*d**f - 3*d**3 - 8*d.
(d - 1)**2*(d + 1)
Factor -5*l**3 + l**3 - 275684 + 6312*l - 492*l**2 - 26484*l.
-4*(l + 41)**3
Let k(j) be the second derivative of 2*j - 1/2*j**5 - 5/3*j**4 + 20/3*j**3 + 1/6*j**6 + 0 + 0*j**2. Factor k(s).
5*s*(s - 2)**2*(s + 2)
Factor 660*m + 5/3*m**3 + 4840/3 - 70*m**2.
5*(m - 22)**2*(m + 2)/3
Factor 25000 + 30*r**2 - 1/5*r**3 - 1500*r.
-(r - 50)**3/5
Let q(a) = 57*a**2 + 11 - 17*a**3 + 7*a - 15*a**2 - 19*a**2. Let b(i) = 9*i**3 - 12*i**2 - 3*i - 6. Let x(d) = 11*b(d) + 6*q(d). Factor x(s).
-3*s*(s - 3)*(s + 1)
Let t(a) = 7*a**5 - 15*a**4 - 18*a**3 - 28*a**2 - 8*a. Let v(x) = -x**5 + x**4 + x**2. Let c(y) = -3*t(y) - 24*v(y). Suppose c(u) = 0. Calculate u.
-2, -1, 0
Factor 4/5*p**4 + 8/5*p + 0 - 4/5*p**2 - 8/5*p**3.
4*p*(p - 2)*(p - 1)*(p + 1)/5
Let o(k) be the third derivative of k**6/15 - 23*k**5/30 + 13*k**4/6 + 8*k**3/3 - 2*k**2 - 70. Factor o(i).
2*(i - 4)*(i - 2)*(4*i + 1)
Let m(s) = -s**3 - 5*s**2 + 5*s - 1. Let g be m(-6). Let p = g - 19/4. Let 0 + 0*x**3 + 1/4*x**4 + 0*x - p*x**2 = 0. What is x?
-1, 0, 1
Let t(m) be the third derivative of -3/140*m**5 + 1/336*m**8 + 3/490*m**7 - 1/168*m**6 + 0*m**3 + 0*m + 0 - 11*m**2 - 1/84*m**4. Solve t(k) = 0.
-1, -2/7, 0, 1
Let u = 457/125370 + 2/1791. Let q(j) be the third derivative of 0 - 1/84*j**4 + 0*j + u*j**5 + 1/420*j**6 + 12*j**2 - 1/21*j**3. What is f in q(f) = 0?
-1, 1
Let p(o) be the third derivative of o**6/660 - o**5/110 + o**4/66 - 38*o**2. Determine v so that p(v) = 0.
0, 1, 2
Let x be (-32 - -2)*(-4)/12. Factor -2*g**3 + 3*g**3 + 4*g**3 + x*g**2.
5*g**2*(g + 2)
Let x = -839 + 845. Let d(q) be the third derivative of 0*q**5 + 0 + 0*q**3 + 4*q**2 + 1/105*q**7 + 0*q**4 + 0*q + 1/168*q**8 - 1/30*q**x. Factor d(j).
2*j**3*(j - 1)*(j + 2)
Suppose 3*i = -i. Suppose 4*s = -2*d + 5*d - 26, i = -4*d - s + 3. Find f such that 4*f + 26*f**3 - f**4 - 6*f**4 + 0 - 33*f**2 + 4 + 6*f**d = 0.
-2/7, 1, 2
Let i(v) be the second derivative of v**8/10080 - v**7/540 + v**6/72 - v**5/20 + 7*v**4/6 - 7*v. Let r(y) be the third derivative of i(y). Factor r(l).
2*(l - 3)**2*(l - 1)/3
What is p in 56/19*p**2 - 8/19*p**3 - 14/19*p**4 + 2/19*p**5 + 0 + 0*p = 0?
-2, 0, 2, 7
Let m(q) be the third derivative of -q**5/300 + 19*q**4/120 - 8*q**3/5 + q**2 + 57*q. Suppose m(y) = 0. Calculate y.
3, 16
Find r such that -9/2*r**3 + 33*r**2 - 15/2*r**4 - 12 + 18*r = 0.
-2, -1, 2/5, 2
Let m(u) be the second derivative of 9*u + 0 - 2/3*u**3 + 0*u**2 - 1/3*u**4. Find a, given that m(a) = 0.
-1, 0
Let d be (-2)/8*(-196)/735. Let j(a) be the second derivative of 1/90*a**6 + 0*a**3 + a + 1/9*a**4 - d*a**5 + 0*a**2 + 0. Let j(l) = 0. What is l?
0, 2
Let a = 12 + -7. Let f = -342 - -346. Factor a*r - f*r**2 - 3*r - 3*r - 3*r.
-4*r*(r + 1)
Let l(j) be the second derivative of -8/3*j**3 + 0 - 32/3*j**4 - 79/5*j**5 - 50*j + 30/7*j**7 - 28/5*j**6 + 0*j**2. Let l(c) = 0. What is c?
-2/5, -1/3, 0, 2
Suppose -w + 4*f + 8 = 0, -2*w - 6 = 2*f - 2. Let v(q) be the second derivative of -2*q - 1/4*q**2 - 1/24*q**4 + w - 1/6*q**3. Factor v(h).
-(h + 1)**2/2
Let z be (-1 + 0)*476/612*6/(-4). Factor -1/6*w**4 - 3*w**2 - 4/3 + 10/3*w + z*w**3.
-(w - 2)**3*(w - 1)/6
Let c = 28703 + -28701. Solve 16/11*k - 4/11*k**3 + 8/11 - 2/11*k**4 + 6/11*k**c = 0.
-2, -1, 2
Factor -7*n + 25 + 6*n**2 - 3*n**3 - 27 - 14*n**2.
-(n + 1)**2*(3*n + 2)
Let i(p) be the first derivative of -p**6/40 + 3*p**5/20 - 3*p**2/2 - 5. Let c(w) be the second derivative of i(w). Factor c(m).
-3*m**2*(m - 3)
Find y, given that 21*y**4 + 132*y + 183*y**3 - 4816 + 9626 + 366*y**2 - 4882 = 0.
-6, -2, -1, 2/7
Suppose 19 + 27 = 23*i. Let q be 6/(-27) - (-58)/18. Factor 6*g + g**4 - g**3 + 1 + 6*g**i + q*g**3 + 2*g**3 - 2*g.
(g + 1)**4
Let h(q) be the first derivative of -q**7/420 + q**6/30 - q**5/5 + 2*q**4/3 + 8*q**3/3 + 19. Let s(i) be the third derivative of h(i). Solve s(k) = 0.
2
Factor -11/10*h**2 + 0 - 1/5*h.
-h*(11*h + 2)/10
Determine w, given that -1/3*w**2 + 9*w - 26/3 = 0.
1, 26
Let d = 1640 - 1638. Let w(i) be the first derivative of i - 6 + 1/3*i**3 - i**d. Determine s so that w(s) = 0.
1
Let r(b) = -b**2 + 143*b - 4897. Let w(l) = l**2 - 142*l + 4898. Let c(x) = 4*r(x) + 6*w(x). Factor c(j).
2*(j - 70)**2
Let i = -6 + 8. Suppose 41*z - 54 = 69. Solve 2/15*c**i + 4/15*c - 2/15*c**4 + 0 - 4/15*c**z = 0 for c.
-2, -1, 0, 1
Let y = 110 + -120. Let h be ((y/(-55))/2)/((-2)/(-4)). Determine q so that -4/11*q - 2/11*q**2 + h*q**3 + 0 = 0.
-1, 0, 2
Factor 196 + 60*o**2 - 4*o**3 + 377*o - 347*o - 282*o.
-4*(o - 7)**2*(o - 1)
Let r(t) = -t**2 + 3*t + 3. Suppose 2 - 22 = 4*s. Let m(x) = 1. Let n(l) = -l**3 + 10*l**2 + 10*l + 12. Let f be n(11). Let d(w) = f*r(w) + s*m(w). Factor d(y).
-(y - 2)*(y - 1)
Let j(o) be the second derivative of 1/27*o**4 + 0*o**3 - 11*o + 0 - 1/90*o**5 + 1/189*o**7 + 0*o**2 - 2/135*o**6. Determine y so that j(y) = 0.
-1, 0, 1, 2
Let w(a) be the second derivative of 1/12*a**5 + 1/90*a**6 + 1/6*a**4 - 2*a - 4/3*a**2 - 2/9*a**3 + 0. Solve w(r) = 0.
-2, 1
Let b(g) be the first derivative of g**6/120 - g**5/20 + g**4/8 - 19*g**3/3 + 14. Let z(t) be the third derivative of b(t). Factor z(h).
3*(h - 1)**2
Let r(l) = -l**2 - 7*l - 5. Let d be r(-3). Suppose 0 = -a + 61 - d. Solve -2 - 55*z + a*z + 3*z**2 + 0 = 0 for z.
-2/3, 1
Let i be (-16)/120 - 20/(-150). Let j(f) be the third derivative of 0*f**4 - 7*f**2 + 0*f + i*f**3 + 0 - 1/20*f**5. Factor j(t).
-3*t**2
Let b(n) be the first derivative of n**5/25 - 44*n**4/5 + 3422*n**3/5 - 97468*n**2/5 - 205379*n/5 + 617. Determine k, given that b(k) = 0.
-1, 59
Suppose -3*x + 4*y + 2 = 0, -3 - 6 = -5*x + y. Factor -10*r**x + 20*r**3 - 11*r - 5 + 6*r**4 + 9*r**4 - 9*r.
5*(r - 1)*(r + 1)**2*(3*r + 1)
Let a be 1/(-2) + (-3302)/(-508). Let i(q) be the third derivative of -1/3*q**4 + 1/30*q**a - 1/15*q**5 + 0*q**3 - 10*q**2 + 0 + 0*q. Factor i(h).
4*h*(h - 2)*(h + 1)
Suppose -16*p = -188 - 116. Suppose -p = -5*z - 0*r - r, -4*z - r = -16. Find i such that -1/3*i**2 + 0 - 1/3*i**z + 2/3*i = 0.
-2, 0, 1
Let q(u) be the third derivative of 0 - 1/6*u**3 + 0*u - 6*u**2 + 7/240*u**5 + 0*u**4 + 1/160*u**6. Solve q(h) = 0.
-2, -1, 2/3
Let z(u) = -u**2 - u + 4. Let p(g) = 9*g**2 + 189*g + 494. Let v(d) = p(d) + 4*z(d). Factor v(j).
5*(j + 3)*(j + 34)
Let 45*f - 2*f**2 + 48 - 11*f**2 + 9*f**2 + f**2 = 0. Calculate f.
-1, 16
Let n(a) be the second derivative of a**6/1800 + a**5/300 + a**4/120 + a**3/2 + 12*a. Let w(r) be the second derivative of n(r). Factor w(k).
(k + 1)**2/5
Let f(v) be the second derivative of v**4/6 + 76*v**3 + 12996*v**2 + 11*v + 1. Factor f(t).
2*(t + 114)**2
Let m(j) be the third derivative of -1/60*j**5 + 2*j**2 - 1/12*j**4 + 1/210*j**7 + 1/40*j**6 - 1/336*j**8 + 0*j**3 + 0 + 0*j. Factor m(b).
-b*(b - 2)*(b - 1)*(b + 1)**2
Let x(y) be the third derivative of y**7/1470 - y**6/420 - 19*y**5/420 + 17*y**4/42 - 10*y**3/7 - 2*y**2 + 41*y. Factor x(j).
(j - 3)*(j - 2)**2*(j + 5)/7
Determine f so that 2/7*f**5 - 24/7 + 38/7*f**2 - 8/7*f + 6/7*f**3 - 2*f**4 = 0.
-1, 1, 2, 6
Let i be (-26)/(-26) + (-1 - 0). Let w(m) be the third derivative of -1/20*m**5 - 7*m**2 - m**4 + i + 0*m - 8*m**3. Factor w(r).
-3*(r + 4)**2
What is l in -18*l - 3/2*l**2 + 0 = 0?
-12, 0
Let a(h) be the second derivative of -h**4/9 + 472*h**3/9 - 27848*h**2/3 + 314*h. Solve a(r) = 0 for r.
118
Suppose z = i + 4 + 7, -21 = 3*i + z. Let v be (-16)/i - 16/10. Factor -1/5*s**2 - v*s - 1/5.
-(s + 1)**2/5
Suppose 19527*o + 12 = 19533*o. Factor -1/2*m**o + 1/2*m + 1.
-(m - 2)*(m + 1)/2
Let x(u) = -2*u**3 + 13*u**2 + 5*u + 4. Let n be x(7). Let v = 54/5 + n. Determine l, given that v + 4/5*l + 1/5*l**2 = 0.
-2
Factor 0*r**2 + 0*r + 2*r**3 + 2/9*r**4 + 0.
2*r**3*(r + 9)/9
Suppose -2 = p - 2*b + 18, 3*b - 12 = 0. Let t be (-28 + 7)*4/p. Factor -49/4*x**2 - 1 + t*x.
-(7*x - 2)**2/4
Let i(m) be the second derivative