33 + 2. Let s = 19/44 - k. What is f in 0*f**3 + 0*f**2 + 0 - 1/4*f**5 + 0*f - s*f**4 = 0?
-1, 0
Let f(u) be the first derivative of -u**6/900 + u**5/300 + u**4/30 - 7*u**3/3 - 4. Let g(d) be the third derivative of f(d). Factor g(p).
-2*(p - 2)*(p + 1)/5
Let r(z) be the first derivative of -z**3/9 - 5*z**2/3 - 25*z/3 + 47. Find g such that r(g) = 0.
-5
Suppose 5*q - 16 = 2*g, -q + g = q - 7. Let a be 30/9 + (-6)/q. Find w such that 0 + w**4 + 1/3*w**2 + a*w**5 + w**3 + 0*w = 0.
-1, 0
Let s(u) = u**2 - u + 7. Let v be s(0). Factor 6*t**4 + 2*t**2 + 0*t**2 - v*t**4 + t**3.
-t**2*(t - 2)*(t + 1)
Let f = 6 - 0. Let d = f - 3. Solve 0 + 6/7*v**d - 6/7*v**4 + 0*v - 2/7*v**2 + 2/7*v**5 = 0.
0, 1
Let s be (-14)/15*-3 + 4/20. Factor 0*f**s - 1/5*f + 2/5*f**4 - 2/5*f**2 + 0 + 1/5*f**5.
f*(f - 1)*(f + 1)**3/5
Factor 0 + 16/7*t - 64/7*t**2 + 4*t**3.
4*t*(t - 2)*(7*t - 2)/7
Let u(b) be the third derivative of -b**6/240 - b**5/60 - b**4/48 - b**2. Factor u(k).
-k*(k + 1)**2/2
Let i(s) be the second derivative of s**7/273 - s**5/65 + s**3/39 - 4*s. Find g, given that i(g) = 0.
-1, 0, 1
Determine t so that 4*t**4 + 16*t + 2400*t**2 - 12*t**3 - 2400*t**2 = 0.
-1, 0, 2
Let l(k) be the first derivative of 1/2*k**4 + 2/5*k**5 - 4*k - 5*k**2 - 2*k**3 + 2. Factor l(v).
2*(v - 2)*(v + 1)**3
Let l(t) = 4*t**4 - 4*t**3 + 3*t**2 + 3*t. Let r(m) = -3*m**4 + 3*m**3 - 2*m**2 - 2*m. Let y be (3 + -3 - -4) + 0. Let x(k) = y*l(k) + 6*r(k). Factor x(b).
-2*b**3*(b - 1)
Let g = -18 + 5. Let v(l) = -15*l**3 - 7*l**2 + 7*l + 15. Let y(h) = -7*h**3 - 3*h**2 + 3*h + 7. Let z(a) = g*y(a) + 6*v(a). Factor z(p).
(p - 1)**3
Suppose 43 + 12 = 11*l. Let a(f) be the second derivative of 0*f**2 + 2/7*f**7 - 9/20*f**l + 4/5*f**6 - f**3 - 7/4*f**4 + 0 + 3*f. Solve a(x) = 0.
-2, -1/2, 0, 1
Let y(f) = -f**3 + 6*f**2 + f. Let u = 14 - 8. Let b(o) = 2*o**3 - 11*o**2 - 2*o. Let a(p) = u*b(p) + 11*y(p). Let a(c) = 0. Calculate c.
-1, 0, 1
Let t(g) be the third derivative of g**8/252 - 2*g**7/21 + 7*g**6/10 - 49*g**5/45 + 20*g**2. Find w such that t(w) = 0.
0, 1, 7
Let y(w) = -85*w**2 - 385*w - 565. Let i(b) = 7*b**2 + 32*b + 47. Let x(o) = -25*i(o) - 2*y(o). Factor x(s).
-5*(s + 3)**2
Suppose 0 = 4*p - 3 - 5. Let y = 16 - 9. Factor -o**p - 3*o + y*o - 3 + 2*o**2 + 7.
(o + 2)**2
Let i(y) be the first derivative of -1 + 0*y - 1/12*y**4 + 0*y**2 - 1/9*y**3. Solve i(f) = 0.
-1, 0
Let t be (2/4)/((-6)/(-48)). What is q in -q**4 + t - 3 + 2*q**3 + 0 - 2*q = 0?
-1, 1
Let b(y) = -6*y**4 - 4*y**3 + 2*y**2 - 4*y - 4. Let r(j) = -j**4 + j**2 - j - 1. Let w(i) = b(i) - 4*r(i). Solve w(c) = 0.
-1, 0
Let w(f) be the second derivative of f**7/105 - f**5/30 - 3*f**2/2 - 3*f. Let l(x) be the first derivative of w(x). Factor l(v).
2*v**2*(v - 1)*(v + 1)
Let j(r) = -147*r**3 - 3*r**2 + r + 1. Let s be j(1). Let n = -440/3 - s. Factor n*u**2 + 2/3*u**3 + 0 + 2/3*u.
2*u*(u + 1)**2/3
Let p(i) be the second derivative of 0 - 2/5*i**2 - 3*i - 2/15*i**4 - 1/3*i**3 - 1/50*i**5. Find n, given that p(n) = 0.
-2, -1
Find r such that 4 - 4*r**2 - 5 + 4*r**4 - 2*r**5 + 1 + 2*r = 0.
-1, 0, 1
Let s(u) = 4*u**2 + 5*u**3 - 4*u**2 + 2*u**2 - 7*u. Let a(o) = -11*o**3 - 4*o**2 + 15*o. Let h(b) = 6*a(b) + 13*s(b). Factor h(v).
-v*(v - 1)**2
Let t(b) be the third derivative of -b**9/1512 + b**8/420 - b**7/420 + b**3/2 + 3*b**2. Let i(c) be the first derivative of t(c). Factor i(n).
-2*n**3*(n - 1)**2
Factor 0*h + 4*h**3 + 8/3*h**5 + 0*h**2 + 0 + 28/3*h**4.
4*h**3*(h + 3)*(2*h + 1)/3
Find d, given that 0 - 6/7*d - 3/7*d**2 = 0.
-2, 0
Let h(m) be the second derivative of 49*m**5/90 + 175*m**4/54 + 88*m**3/27 + 4*m**2/3 - 8*m. Determine d so that h(d) = 0.
-3, -2/7
Suppose 0*g + 0 + 8/13*g**5 + 2/13*g**3 + 0*g**2 - 10/13*g**4 = 0. What is g?
0, 1/4, 1
Factor -3/5*s**2 + 3/5*s + 6/5.
-3*(s - 2)*(s + 1)/5
Suppose -3 = -3*x + 3. Let -6*d**2 + 3*d**2 + 3*d**x - d**2 = 0. Calculate d.
0
Suppose s + 21 = 3*b - 2*s, -b + 12 = -2*s. Let m(u) be the first derivative of -1 - 4/9*u**b - 64/27*u**3 - 77/18*u**4 + 0*u - 98/45*u**5. Factor m(t).
-2*t*(t + 1)*(7*t + 2)**2/9
Let j(n) be the third derivative of -1/30*n**5 + 0*n**3 + 0*n + 0 + n**2 - 1/4*n**4. Factor j(m).
-2*m*(m + 3)
Let f be (-1)/4 - (-52)/144. Let z(j) be the first derivative of 1 - 5/3*j**2 - 2/3*j**5 - 5/3*j**4 - f*j**6 - 2/3*j - 20/9*j**3. Factor z(p).
-2*(p + 1)**5/3
Find l such that 12 + 0*l - 16*l**2 + 4*l - 5 + 5 = 0.
-3/4, 1
Factor 3*g - 7*g**3 - 10*g**2 - 5*g**3 + 19*g**2.
-3*g*(g - 1)*(4*g + 1)
Let m(n) = n + 3. Let w be m(2). Let y(o) be the second derivative of 0*o**2 + 3*o - 1/60*o**w - 1/18*o**3 - 1/18*o**4 + 0. Factor y(b).
-b*(b + 1)**2/3
Let r(d) be the first derivative of d**6/3 + 4*d**5/5 - 4*d**3/3 - d**2 - 34. Factor r(n).
2*n*(n - 1)*(n + 1)**3
Let y(o) be the second derivative of -o**6/15 - o**5/5 - o**4/6 + 3*o. Factor y(d).
-2*d**2*(d + 1)**2
Let q(u) = -3*u - 9. Let h be q(-6). Suppose 3*g = 30 - h. Solve -9*t**3 - 4*t**2 + 2*t**2 + g*t**3 = 0 for t.
-1, 0
Factor 3*g**4 + 0*g**2 - 7*g**3 + 11*g**3 - 7*g**3 - g**5 + g**2.
-g**2*(g - 1)**3
Let m(l) be the third derivative of -l**5/30 + l**4/6 - 2*l**2. Factor m(a).
-2*a*(a - 2)
Let c(i) = 10*i**3 + 65*i**2 + 110*i + 55. Let l(s) = 5*s**3 + 33*s**2 + 55*s + 27. Let v(f) = 2*c(f) - 5*l(f). Factor v(d).
-5*(d + 1)**2*(d + 5)
Let p(d) be the second derivative of d**7/210 + d**6/50 + d**5/100 - d**4/20 - d**3/15 - 16*d. Suppose p(c) = 0. Calculate c.
-2, -1, 0, 1
Let d(y) be the first derivative of -3*y**4/2 - 8*y**3/3 + y**2 + 4*y + 10. Factor d(w).
-2*(w + 1)**2*(3*w - 2)
Let l(i) be the third derivative of i**6/240 + i**5/30 + i**4/12 + 6*i**2 + i. Factor l(y).
y*(y + 2)**2/2
Factor -2/5 + u + 9/5*u**3 + 16/5*u**2.
(u + 1)**2*(9*u - 2)/5
Let d(h) = -4*h**3 - h**2 + 15*h + 4. Let j(v) = -9*v**3 - 3*v**2 + 31*v + 7. Let m(b) = 5*d(b) - 2*j(b). Let m(w) = 0. Calculate w.
-2, -1/2, 3
Factor -14/5*j**3 - 26/5*j - 2/5*j**4 - 6*j**2 - 8/5.
-2*(j + 1)**3*(j + 4)/5
Let w = -366 - -58561/160. Let d(y) be the third derivative of 0*y - 1/24*y**4 + w*y**6 - 1/840*y**7 + 0*y**5 + 0 + 0*y**3 - 2*y**2. Factor d(n).
-n*(n - 2)**2*(n + 1)/4
Factor 0*w + 4/11*w**3 - 2/11 + 6/11*w**2.
2*(w + 1)**2*(2*w - 1)/11
What is g in g**4 - 5*g**4 + 0*g**3 + 2*g**5 + 2*g**3 = 0?
0, 1
Suppose 0*w + 0 - 2/5*w**4 + 0*w**2 + 2/5*w**3 = 0. Calculate w.
0, 1
Let v(s) = -s**2 + 1. Let f(g) = 2*g**2 - 8*g + 6. Let c(a) = -f(a) - 6*v(a). Factor c(k).
4*(k - 1)*(k + 3)
Let l(g) = -23*g**5 - 30*g**4 + 13*g**3 + 10*g**2 - 6*g. Let v(k) = -k**5 - k**3 + k**2 + k. Let z(n) = 5*l(n) + 10*v(n). Suppose z(q) = 0. What is q?
-1, 0, 2/5
Let r(k) = 3*k + 45. Let y be r(-14). Let d(i) be the second derivative of 3/40*i**5 - 1/4*i**y + 0*i**4 + 0*i**2 + i + 0. Let d(p) = 0. Calculate p.
-1, 0, 1
Suppose 3*t - 5 - 4 = 0. Find p such that t*p**2 - 3*p**2 - 3 + 6*p**2 - 3*p**4 = 0.
-1, 1
Let s(x) be the third derivative of 2*x**7/105 - x**6/10 + x**5/5 - x**4/6 + x**2. Factor s(f).
4*f*(f - 1)**3
Let d = 7/6 + -37/42. Suppose 2/7*j**3 - d*j + 2/7*j**2 - 2/7 = 0. What is j?
-1, 1
Let o(i) be the second derivative of i**4/20 + 4*i**3/5 + 24*i**2/5 - 10*i. Factor o(d).
3*(d + 4)**2/5
Suppose 269*i - 265*i = 0. Solve 2/3*l + 1/3*l**2 + i = 0 for l.
-2, 0
Let j = 11/10 - 3/5. Let m(z) be the first derivative of 0*z**2 - j*z**4 - 1 + 1/5*z**5 + 0*z + 0*z**3. Factor m(a).
a**3*(a - 2)
Solve 0*w - 2*w - 2*w**4 + 6*w**3 + w + 3*w - 6*w**2 = 0.
0, 1
Let c(b) be the first derivative of -4*b**5/15 + 5*b**4/3 - 4*b**3 + 14*b**2/3 - 8*b/3 - 6. What is g in c(g) = 0?
1, 2
Let o(w) be the second derivative of -w**7/3150 - w**4/3 + 8*w. Let t(z) be the third derivative of o(z). Factor t(c).
-4*c**2/5
Let x(p) be the third derivative of -p**8/13440 - p**7/3360 + p**6/240 + p**5/20 + 2*p**2. Let l(w) be the third derivative of x(w). Factor l(j).
-3*(j - 1)*(j + 2)/2
Let u(q) = -q**4 + q**3 + q**2 - 1. Let b(i) = 3*i**4 - 5*i**3 - 2*i**2 + 4. Let h(v) = b(v) + 4*u(v). Factor h(n).
-n**2*(n - 1)*(n + 2)
Find s such that -1371*s - 5*s**2 + 20 + 1371*s = 0.
-2, 2
Let m(n) be the first derivative of n**4/5 + 4*n**3/15 - 4*n**2/5 - 16. Let m(u) = 0. What is u?
-2, 0, 1
Let a(n) be the second derivative of -1/75*n**6 + 0*n**2 + 1/30*n**4 + 0 + 1/50*n**5 - 5*n + 0*n**3 - 1/105*n**7. Suppos