5/6 - 37*f**4/36 - 10*f**3/3 - 6*f**2 + 4*f. Solve c(i) = 0 for i.
-3, -2
Let t be 18/(-42) - 72/(-21). Let p be 1*t*(-1)/(-18). Solve 1/6*v**2 + p*v**3 + 0 + 0*v = 0.
-1, 0
Let d(p) = -2*p**3 - 20*p**2 + 4. Let y be d(-10). Factor -y*w**3 + 1/4 + 6*w**2 - 9/4*w.
-(w - 1)*(4*w - 1)**2/4
Let n(z) be the third derivative of -2*z**2 + 1/40*z**6 + 1/10*z**5 + 0*z**3 - 1/224*z**8 + 0*z + 0 - 1/6*z**4 - 1/60*z**7. Suppose n(l) = 0. Calculate l.
-2, 0, 2/3, 1
Suppose 0 = -7*m + 2*m + 20. Determine h so that 3*h**4 + h**2 + 2*h**m - 7*h**4 + 4*h**3 - 3*h**2 = 0.
0, 1
Let r be 5 - 2/(4 + -3). Solve -r - 3*x + 2 - 7*x**2 + 4*x**2 - 7*x**3 + 6*x**3 = 0 for x.
-1
What is s in 3 - 15*s**3 + 15*s**5 - 5*s**4 + 6 + 5*s**2 - 9 = 0?
-1, 0, 1/3, 1
Let p(z) = -3*z**3 - 3*z**2 - 2*z + 3. Let o(r) = -2*r**3 - 2*r**2 - 2*r + 2. Let g(l) = -5*o(l) + 4*p(l). Factor g(q).
-2*(q - 1)*(q + 1)**2
Determine u, given that -1/2*u**2 - 3/2*u**3 + 1 - 1/2*u**4 + 3/2*u = 0.
-2, -1, 1
Let r(w) be the third derivative of -2*w**2 - 1/6*w**4 + 1/2*w**3 + 0*w + 1/60*w**5 + 0. Find z, given that r(z) = 0.
1, 3
Let d(p) be the first derivative of p + 1/90*p**6 + 0*p**2 + 2 - 1/36*p**4 - 1/9*p**3 + 1/30*p**5. Let l(o) be the first derivative of d(o). Factor l(g).
g*(g - 1)*(g + 1)*(g + 2)/3
Let f = -1 - -3. What is c in -3*c**2 - 4*c**f + 3*c + 3*c**2 + 3*c**3 - 2*c**2 = 0?
0, 1
Let d = -202 - -204. Factor -v - 1/2 - 1/2*v**d.
-(v + 1)**2/2
Factor -5*h**3 - 34*h**2 + 11*h**2 + 10*h**2 + 8*h**2.
-5*h**2*(h + 1)
Let u(r) = -9*r + 0*r + 2 + 6*r**2 - 3*r**2 + 22. Let p = -1 + 2. Let m(w) = 1. Let z(b) = p*u(b) - 18*m(b). Factor z(g).
3*(g - 2)*(g - 1)
Let j = 561/2 - 280. Factor 0*h - j*h**2 + 5/4*h**3 + 0 - 3/4*h**4.
-h**2*(h - 1)*(3*h - 2)/4
Find o, given that 0 - 5*o**5 + 5/3*o**2 + 0*o + 5*o**3 - 5/3*o**4 = 0.
-1, -1/3, 0, 1
Factor 4/3*h**2 - 8/3*h + 4/3.
4*(h - 1)**2/3
Factor -6*d - d**2 + 6*d**3 + 3*d - 8*d**2 + 9*d**4 - 3*d.
3*d*(d - 1)*(d + 1)*(3*d + 2)
Factor -25*b**4 - 4*b**2 + 4*b - 2*b**3 - 4*b**3 + 29*b**4 + 2*b**3.
4*b*(b - 1)**2*(b + 1)
Let 4*p**3 + p**3 + 6*p**3 + p + p**4 + 2 - 3*p**2 - 12*p**3 = 0. Calculate p.
-1, 1, 2
Let i be (-18)/27 + (-2)/6. Let h(g) = 2*g + 2. Let d be h(i). Let 0 + 0*x**2 - 1/3*x**3 + 0*x**4 + d*x + 1/3*x**5 = 0. What is x?
-1, 0, 1
Let k be (2/10)/(((-21)/6)/(-7)). Suppose 2/5*s**2 + 0 - k*s = 0. What is s?
0, 1
Let a(q) be the third derivative of -q**5/90 - q**4/3 - 4*q**3 - 20*q**2. Factor a(h).
-2*(h + 6)**2/3
Let v(o) = 17*o**2 + 4*o - 8. Let a be 98/8 - (-3)/(-12). Let u be 5/10*a/(-1). Let x(m) = 4*m**2 + m - 2. Let p(g) = u*v(g) + 26*x(g). Factor p(s).
2*(s - 1)*(s + 2)
Let i(a) be the second derivative of 0 + 0*a**3 + 3/10*a**5 + 1/21*a**7 + 0*a**2 + a + 1/6*a**4 + 1/5*a**6. Find d such that i(d) = 0.
-1, 0
Let m(x) be the first derivative of 1/2*x**2 - 3 + 0*x - 7/90*x**5 - 2/9*x**3 - 1/4*x**4. Let n(p) be the second derivative of m(p). Let n(d) = 0. Calculate d.
-1, -2/7
Let m(o) = -o**2 + o + 2. Suppose 8 = -0*c + 4*c. Let l(a) = 2*a**2 - 3*a - 6. Let f(i) = c*l(i) + 7*m(i). Find t such that f(t) = 0.
-2/3, 1
Let v(t) = -2*t**3 - 11*t**2 + 2*t + 4. Let o(a) = -a**3 - 5*a**2 + a + 2. Let d(z) = -7*o(z) + 3*v(z). Factor d(y).
(y - 1)*(y + 1)*(y + 2)
Let j(l) be the second derivative of 0 - 5*l + 1/5*l**2 + 1/60*l**4 - 1/10*l**3. Suppose j(a) = 0. What is a?
1, 2
Suppose 2*y**3 - 15/4*y**2 - 1/4 + 4*y**4 - 2*y = 0. What is y?
-1, -1/4, 1
Let r(y) be the third derivative of 1/630*y**7 + 0 - 1/180*y**5 + 0*y + 2*y**2 + 1/360*y**6 - 1/72*y**4 + 0*y**3. Factor r(o).
o*(o - 1)*(o + 1)**2/3
Suppose 3*o = -3*j - 3, 0*o - o = -4*j + 11. Let f = 2 + j. Factor -w**5 - 3*w**4 + 3*w**f - w**3 - 2*w**4.
-w**3*(w + 1)**2
Let t = 73/3 + -23. Let 1/3*d**2 + 4/3 - t*d = 0. Calculate d.
2
Suppose 3*h - 32 = -26. Factor 27/4*f - 3/2 - 3*f**h.
-3*(f - 2)*(4*f - 1)/4
Let y(x) = 7*x**3 - 3*x - 8. Let p(a) = a**3 - 1. Let r(w) = -6*p(w) + y(w). Factor r(o).
(o - 2)*(o + 1)**2
Let y(x) be the third derivative of x**5/90 - x**4/9 + 4*x**3/9 - 11*x**2. Factor y(s).
2*(s - 2)**2/3
Determine n, given that -1/5 - 3/5*n**2 + 4/5*n**4 + 4/5*n - 4/5*n**3 = 0.
-1, 1/2, 1
Let l(o) be the third derivative of o**6/180 + o**5/30 + o**4/12 - o**3 + 5*o**2. Let s(d) be the first derivative of l(d). Let s(p) = 0. What is p?
-1
Let p(l) be the third derivative of 0 + l**2 - 6/7*l**3 + 1/588*l**8 + 2/15*l**5 + 1/105*l**6 + 0*l - 2/147*l**7 - 1/14*l**4. Solve p(y) = 0 for y.
-1, 1, 3
Let r(u) = -4*u**3 - 23*u**2 - 9*u. Let w = -5 + 8. Let i(z) = -z**3 + 11*z**2 - 5*z + 10*z + 3*z**w. Let f(a) = 7*i(a) + 3*r(a). Find m such that f(m) = 0.
-2, 0
Suppose 31*h - 83 - 3*h**2 - 6*h**3 - 9*h + 71 + 2*h**4 - 3*h**2 = 0. What is h?
-2, 1, 3
Let l(o) be the third derivative of o**5/15 + 7*o**4/3 + 98*o**3/3 - 9*o**2. Factor l(b).
4*(b + 7)**2
Let o(i) be the first derivative of i**6/15 + i**5/10 - i**4/3 + 2*i + 5. Let y(g) be the first derivative of o(g). Factor y(f).
2*f**2*(f - 1)*(f + 2)
Let o(c) be the second derivative of -1/30*c**6 + 2*c + 0 + 1/6*c**3 - 1/20*c**5 + 1/12*c**4 + 0*c**2. Suppose o(i) = 0. What is i?
-1, 0, 1
Let s(v) = -v + 13. Let k be s(9). Let i(w) be the second derivative of 0*w**k + 0 + 0*w**2 + 1/9*w**3 - 1/30*w**5 + 2*w. What is h in i(h) = 0?
-1, 0, 1
Let m(w) be the third derivative of -w**5/90 - w**4/18 - w**3/9 - 4*w**2. Suppose m(j) = 0. What is j?
-1
Let l be -1 + 0/2 + (-3)/(-1). Let x(y) be the third derivative of -3*y**l + 1/27*y**4 + 0*y**3 + 1/945*y**7 + 0 + 0*y + 1/108*y**6 + 4/135*y**5. Factor x(o).
2*o*(o + 1)*(o + 2)**2/9
Let q = -2/53 + 163/106. Factor 1/4*w**5 + w + 3*w**2 + 0 + 13/4*w**3 + q*w**4.
w*(w + 1)**2*(w + 2)**2/4
Let o(k) be the second derivative of k**8/8400 + k**3 + k. Let z(x) be the second derivative of o(x). Factor z(y).
y**4/5
Let f be (-2)/1 + (-5 - -5). Let m(a) = a**2 - a + 6. Let u(v) = -1 - 2 + 1. Let q(s) = f*m(s) - 6*u(s). Determine h so that q(h) = 0.
0, 1
Let -1/5*x**2 + 0 + 0*x - 2/5*x**4 + 1/10*x**5 + 1/2*x**3 = 0. Calculate x.
0, 1, 2
Let z(y) be the second derivative of 0*y**4 - 1/4*y**2 + 0 - 1/80*y**5 + 1/8*y**3 - 2*y. Suppose z(j) = 0. Calculate j.
-2, 1
Factor -8/3 - 8*l + 14/3*l**2.
2*(l - 2)*(7*l + 2)/3
Let x be -1 + 3/6 + (-7)/(-14). Let o(b) be the second derivative of 2*b + 0*b**3 + 1/4*b**4 - 1/10*b**6 + 1/14*b**7 - 3/20*b**5 + 0 + x*b**2. Factor o(z).
3*z**2*(z - 1)**2*(z + 1)
Suppose -9*o = -2*o - 14. Find s, given that 0 + 4/5*s**o + 2/5*s**3 + 2/5*s = 0.
-1, 0
Let t = 17/6 + -5/2. Let a(o) be the second derivative of -3*o - 2/9*o**3 + 0 + 1/45*o**6 - t*o**2 + 0*o**4 + 1/15*o**5. Let a(p) = 0. Calculate p.
-1, 1
Let k(j) = j**3 - 1. Let g(s) = -6*s**3 + s + 5. Let u be (2/(-3))/(1/51). Let n(t) = u*k(t) - 6*g(t). Factor n(i).
2*(i - 1)**2*(i + 2)
Let c(w) be the second derivative of -w**7/189 - w**6/27 - 4*w**5/45 - 2*w**4/27 - w. Factor c(g).
-2*g**2*(g + 1)*(g + 2)**2/9
Let c = 5 + -3. Let v = c - -1. Find f, given that 4*f + f**2 - f**v - f**4 - 2*f - f = 0.
-1, 0, 1
Let n be (-57)/(-36) - 5/(-30). Let n*m**2 - 3*m - 1 = 0. Calculate m.
-2/7, 2
Solve -76/3*f - 10/3*f**2 + 32/3 = 0.
-8, 2/5
Let l(q) be the first derivative of -q**6/4 + 9*q**5/10 + 3*q**4/4 - 3*q**3 - 3*q**2/4 + 9*q/2 + 1. Find n, given that l(n) = 0.
-1, 1, 3
Let n = 56 + -1. Suppose 2*q = -0*q + 3*p + n, 4*p = 2*q - 56. Solve -28*b**2 + q*b**2 - b**3 + 3*b**3 = 0.
0, 1
Suppose 2*n - 1 = -k, -n = -4*k + 4 - 18. Let s(q) be the first derivative of q**3 - 1 + q**n + 0*q + 1/4*q**4. Factor s(m).
m*(m + 1)*(m + 2)
Let l be 3 + (-42)/11 - 1. Let s = 91/44 + l. Solve 0*d - s*d**2 + 0 = 0 for d.
0
Let i(h) = -h**3 - 5*h**2 + 6*h + 3. Suppose -2 = 2*w + 10. Let b be i(w). Factor -z**2 - 1/3 + 1/3*z**b + z.
(z - 1)**3/3
Let i = 102 + -29. Factor i + 61*c**3 + 324*c - 381*c**3 - 256*c**4 + 35 + 142*c**2 + 2*c**2.
-4*(c - 1)*(4*c + 3)**3
Let y be 21/(1995/(-38)) + 124/110. Solve 4/11*c + 0 - y*c**3 - 2/11*c**2 + 6/11*c**4 = 0 for c.
-2/3, 0, 1
Suppose -9 = 3*m - 34*w + 37*w, 3*m = 4*w + 26. Find u, given that 0 + 4/11*u**m + 0*u + 2/11*u**3 = 0.
-2, 0
Suppose f + 3*p = -3*f + 15, 1 = 2*f - 5*p. Factor 3*m**3 - 4*m**f - 3*m + 4*m**3.
3*m*(m - 1)*(m + 1)
Let n(g) be the first derivative of -4*g**5/5 - 2*g**4 - 4*g**3/3 + 13. Suppose n(j) = 0