s + 1/4*m**2 + 2*m - 1/48*m**4. Factor t(r).
-(r - 2)*(r + 1)/4
Let g = -5969/204 + 385/12. Factor -64/17*n + 32/17 + g*n**2 - 16/17*n**3 + 2/17*n**4.
2*(n - 2)**4/17
Let o(w) be the first derivative of w**4/24 + w**3/18 + 1. Find b, given that o(b) = 0.
-1, 0
Let p = 493/826 - 3/118. Solve -2/7*g**5 + 0*g**3 - 4/7*g**4 + p*g**2 + 0 + 2/7*g = 0.
-1, 0, 1
Let k = -34 - -20. Let o be 90/21 - (-4)/k. Solve 0*m**2 + 0 - 1/4*m**3 + 0*m - 1/4*m**o = 0.
-1, 0
Let d(i) = 2*i**3 + 2*i**2 + 4*i - 2. Let t(a) be the first derivative of -5*a**4/4 - 5*a**3/3 - 9*a**2/2 + 5*a + 4. Let h(f) = 14*d(f) + 6*t(f). Factor h(v).
-2*(v - 1)*(v + 1)**2
Let o(w) = -w**2 + 5*w - 4. Let p be o(4). Suppose -26*v = -v - 0*v. Suppose 2/9*d**5 - 2/9*d**4 - 2/9*d**3 + 2/9*d**2 + p*d + v = 0. Calculate d.
-1, 0, 1
Let n(f) be the third derivative of -f**2 - 1/1512*f**8 + 0*f + 0 - 1/945*f**7 + 0*f**3 + 1/270*f**5 + 0*f**4 + 1/540*f**6. What is h in n(h) = 0?
-1, 0, 1
Determine u, given that 2/15*u**5 + 2/15*u**3 + 0*u**2 + 0*u + 0 - 4/15*u**4 = 0.
0, 1
Let t(i) = 2*i**2 + 13*i. Suppose -2*m = 3*m + 10. Let x(v) = 9*v - 6*v - 7*v - v**2. Let j(y) = m*t(y) - 7*x(y). Factor j(a).
a*(3*a + 2)
Let z(s) be the first derivative of s**4/4 - s**3 + 3*s**2/2 - s + 4. Factor z(x).
(x - 1)**3
Let z = 6 + -3. Factor 3*g**4 + 8 - 2*g**2 + g**z - 8.
g**2*(g + 1)*(3*g - 2)
Let a(r) be the third derivative of r**7/210 + r**6/120 - r**5/10 - r**4/6 + 4*r**3/3 - r**2 - 11. Factor a(h).
(h - 2)*(h - 1)*(h + 2)**2
What is d in 23 + 30*d**3 + 85 + 2*d**3 - 4*d**4 - 72*d**2 = 0?
-1, 3
Let m(v) be the second derivative of v**7/1260 - v**6/810 - v**5/180 + v**4/54 - v**3/3 + v. Let l(q) be the second derivative of m(q). Solve l(d) = 0.
-1, 2/3, 1
Let b be (-2)/(-3)*(-6)/(-2). Factor 0*a**2 - 9*a**3 - b*a**2 + 10*a**3 + a + 4*a**2.
a*(a + 1)**2
Let d = -5 - -7. Let p(q) be the first derivative of -d - 1/3*q - 1/3*q**2 - 1/9*q**3. Suppose p(o) = 0. What is o?
-1
Let t(z) be the first derivative of -z**5/30 - z**4/9 - z**3/9 + z - 3. Let d(b) be the first derivative of t(b). Solve d(i) = 0 for i.
-1, 0
Let w(d) be the first derivative of 2/3*d**3 + 1 + d**2 - 4*d. Factor w(p).
2*(p - 1)*(p + 2)
Let p(q) = -q**3 + q**2 - q - 1. Let g be p(-1). Factor -4*a + 3*a**3 - a**2 - 2*a + 0*a**g - 2*a**2.
3*a*(a - 2)*(a + 1)
Factor 14*z**2 + 0 + 41*z - 13*z + 10 - 4*z**3.
-2*(z - 5)*(z + 1)*(2*z + 1)
Let p be (0 - 0)*(-1 + 2). Let m = -853 + 2561/3. Factor -m*x + p + 1/3*x**2.
x*(x - 2)/3
Suppose 0 = 2*c - 15 + 9. Let r(f) be the first derivative of 1 + 0*f**2 + 2/21*f**c - 2/7*f. Suppose r(b) = 0. Calculate b.
-1, 1
Let u(d) = -d - 1. Let g be u(-6). Suppose 1 = -4*t - 3*m, -3*m = g*t - 3*t + 5. Factor 2/7*b + 0 + 2/7*b**t.
2*b*(b + 1)/7
Let n(g) = 8*g**2 - 77*g + 317. Let w(r) = 7*r**2 - 78*r + 318. Let i(s) = -2*n(s) + 3*w(s). Determine v so that i(v) = 0.
8
Let b(i) be the second derivative of -i**4/3 + 2*i**2 - 2*i. What is a in b(a) = 0?
-1, 1
Let v(s) = 3*s - 35. Let i be v(17). Let x = i - 14. Suppose 3/2*n**3 + 1/2 - 1/2*n**x - 3/2*n = 0. Calculate n.
-1, 1/3, 1
Let b(c) = c**3 - c**2 - 3*c + 4. Let j be b(2). Determine r so that -4/7*r**3 + 4/7*r + 12/7*r**j - 12/7 = 0.
-1, 1, 3
Let q = 60 - 55. Let d(f) be the third derivative of 2*f**2 + 0*f**3 + 1/30*f**q + 0*f + 0 + 1/40*f**6 + 1/48*f**4 + 1/105*f**7 + 1/672*f**8. Factor d(z).
z*(z + 1)**4/2
Let r(b) be the first derivative of -b**3/9 + b**2 - 3*b - 5. Factor r(v).
-(v - 3)**2/3
Let m be 48/26 - (-6)/39. Solve 7 + 4*r**2 + 4*r**m - 4*r**2 - 11 = 0 for r.
-1, 1
Let g(h) = -h**3 - 6*h**2 + 6*h - 3. Suppose -3*s - 4*i = 41, -3*s - 3*i = -8*i - 4. Let n be g(s). Let n*a + 3*a**2 - a**2 - 6*a = 0. Calculate a.
0, 1
Find p such that 0*p**4 + 0 + 2/17*p**5 + 0*p**2 + 2/17*p - 4/17*p**3 = 0.
-1, 0, 1
Let r = -3 - 2. Let d be ((-2)/5)/(1/r). Suppose 2/3*y + 0 + 2/3*y**d = 0. Calculate y.
-1, 0
Determine r, given that 0 + 10/11*r**2 + 2/11*r**3 + 8/11*r = 0.
-4, -1, 0
What is v in -v**2 + 0 + 1/3*v**3 + 2/3*v = 0?
0, 1, 2
Let z(y) = -5*y**4 - 47*y**3 - 31*y**2 - 11*y. Let n(a) = -3*a**4 - 24*a**3 - 15*a**2 - 6*a. Let x(t) = -11*n(t) + 6*z(t). Find g, given that x(g) = 0.
-1, 0, 7
Suppose 0 = -0*n - 4*n + 8. Factor 2*f**5 + 4*f**4 - 2*f - 4*f**n - 8*f + 8*f.
2*f*(f - 1)*(f + 1)**3
Let r be 36/165 + 5/((-275)/(-10)). Let 0 - 2/5*q**2 - r*q + 2/5*q**4 + 2/5*q**3 = 0. Calculate q.
-1, 0, 1
Let j be 74/14 - 12/42. Let x(r) be the third derivative of 0*r + 1/90*r**j - 1/36*r**4 - 1/315*r**7 + 0 + 0*r**3 + r**2 + 1/180*r**6. Factor x(d).
-2*d*(d - 1)**2*(d + 1)/3
Suppose 0*q = -2*g - q + 2, g + 4 = 2*q. Let x(t) be the third derivative of g + 0*t**3 + 0*t - 2*t**2 - 1/180*t**5 + 1/72*t**4. Factor x(a).
-a*(a - 1)/3
Let j(q) be the third derivative of -5*q**2 - 1/140*q**6 + 0*q + 0 + 0*q**5 - 1/735*q**7 + 0*q**3 + 0*q**4. Let j(k) = 0. Calculate k.
-3, 0
Suppose 2*d + 20 = 6. Let t = 11 + d. Determine f so that 6*f**t - 2*f**2 + 4*f - 8*f**3 + 4*f**4 - 4*f**4 = 0.
-2/3, 0, 1
Let z be ((-28)/(-6))/((-2)/(-3)). Suppose 29 = 2*o - 5*c, -2*o - 5*c - z - 14 = 0. Factor -2/3*w**o - 2/3*w + 4/3.
-2*(w - 1)*(w + 2)/3
Let m = 6 - 4. Let l(r) = -r**4 + r**3 + r**2 - r - 1. Let n(o) = -13*o**4 - 7*o**3 + 4*o**2 - 2*o - 2. Let z(h) = m*l(h) - n(h). Factor z(q).
q**2*(q + 1)*(11*q - 2)
Let y(r) be the third derivative of r**8/20160 - r**7/2520 + r**6/720 - r**5/360 + 5*r**4/24 - 4*r**2. Let t(f) be the second derivative of y(f). Factor t(g).
(g - 1)**3/3
Suppose -16 = 2*k - 3*d, 2*k + 3*d = -d - 16. Let j(n) = -n - 3. Let v be j(k). Factor 54*p - 54*p - p**4 + p**v - p**3 + p**2.
p**2*(p - 1)**2*(p + 1)
Let s(n) be the third derivative of 1/120*n**7 + 1/16*n**5 - 1/12*n**3 + 0 + 9*n**2 + 19/480*n**6 + 0*n + 1/96*n**4. Factor s(b).
(b + 1)**3*(7*b - 2)/4
Let a(x) be the second derivative of 0 - 3*x + 4/15*x**3 + 1/30*x**4 + 4/5*x**2. Let a(f) = 0. What is f?
-2
Let q be 40/90*(-3)/(-2). Let m(j) be the first derivative of 1/30*j**6 + 1/5*j**5 + 1/2*j**4 + q*j**3 - 2 + 1/2*j**2 + 1/5*j. Solve m(p) = 0 for p.
-1
Let t be (2 - -1)*(-17 - -19). Let -t*w**4 - 6*w + 6*w**2 + 0 + 9/2*w**3 + 3/2*w**5 = 0. What is w?
-1, 0, 1, 2
Suppose 8*a + 3 = 9*a. Factor -1/2*v**5 - 3/2*v**a + 3/2*v**4 + 0*v + 1/2*v**2 + 0.
-v**2*(v - 1)**3/2
Let p(r) = -56*r**4 + 8*r**2 + 8*r**3 - 34*r**3 + 22*r**2. Let s(n) = 11*n**4 + 5*n**3 - 6*n**2. Let y(v) = -2*p(v) - 11*s(v). Factor y(l).
-3*l**2*(l + 1)*(3*l - 2)
Factor -3/5*f**2 - 1/5*f**3 + 0 - 2/5*f.
-f*(f + 1)*(f + 2)/5
Let j = 0 - 1. Let a be j/3 - (-35)/15. Factor 3*r**2 - 13 + 11 + r**a - 2*r**4.
-2*(r - 1)**2*(r + 1)**2
Let o(i) = 16*i**2 + 63*i - 4. Let r be o(-4). Factor 2/5*d**2 + r + 0*d - 1/5*d**3.
-d**2*(d - 2)/5
Let q(g) be the first derivative of 0*g + 0*g**3 + 0*g**2 + 1/6*g**6 - 9 + 2/5*g**5 + 0*g**4. Let q(a) = 0. What is a?
-2, 0
Suppose 6*f - f = 10. Let x(h) = h**3 - 9*h**2 + 9*h - 9. Let g(l) = -2*l**2 + 2*l - 2. Let u(k) = f*x(k) - 9*g(k). Factor u(j).
2*j**3
Suppose -1/6*n**3 - 1/3*n + 0 + 1/2*n**2 = 0. What is n?
0, 1, 2
Suppose -5*u + 25 = -0*y + 2*y, 0 = y. Let q(m) = -3*m - 4. Let t be q(-2). Factor 0*s**2 + 2*s - u*s - s**2 + t*s.
-s*(s + 1)
Let t = -27 - -35. Let q(l) be the third derivative of 0 + 0*l**4 + 1/100*l**6 + 1/150*l**5 + 0*l**3 + 1/840*l**t + 0*l - 2*l**2 + 1/175*l**7. Factor q(o).
2*o**2*(o + 1)**3/5
Solve 4*q**4 - 11 + 4*q - 4*q**3 + 5 + 6 - 4*q**2 = 0 for q.
-1, 0, 1
Let x(q) be the third derivative of q**8/1176 - q**6/420 + 36*q**2. What is s in x(s) = 0?
-1, 0, 1
Determine v, given that 0 + 1/4*v**2 + 0*v = 0.
0
Let h be (-2)/(-2 + (-9)/(-6)). What is q in -q + h*q**2 - 3*q**3 + q**3 - q**3 = 0?
0, 1/3, 1
Let z = -32 + 65/2. Solve r + 1/2*r**2 + z = 0 for r.
-1
Solve 3/4*z + 9/4*z**3 - 3*z**5 - 15/4*z**4 + 15/4*z**2 + 0 = 0.
-1, -1/4, 0, 1
Suppose 14 = i + 11. Let n(b) be the first derivative of 4 + 1/9*b**2 - 1/18*b**4 + 2/9*b - 2/27*b**i. Find f such that n(f) = 0.
-1, 1
Let s(l) be the third derivative of -1/840*l**8 - 1/75*l**5 + 2/525*l**7 + 1/60*l**4 + 0*l + 0 + 4*l**2 + 0*l**3 + 0*l**6. Suppose s(r) = 0. Calculate r.
-1, 0, 1
Let b be 2*1/2 - 87/145. Determine m so that 0 + b*m + 4/5*m**2 + 2/5*m**3 = 0.
-1, 0
Suppose 0 = -q + 3*f + 2 + 3, q - 5*f = 5. Let j = 29/105 + 2/35. Factor -10/3*t**4 - 4*t**3