
Suppose -4 = 91*s - 93*s. Determine q so that 0 + 0*q**4 - 12*q**s + 9/2*q + 9*q**3 - 3/2*q**5 = 0.
-3, 0, 1
Let o(r) be the first derivative of -4*r + 0*r**2 - 2/3*r**3 - 5/6*r**4 + 4 - 3/10*r**5. Let h(l) be the first derivative of o(l). Factor h(k).
-2*k*(k + 1)*(3*k + 2)
Let l be ((-2)/(-2))/((-5)/(-5)). Factor 8 - 2*d**4 + 4*d - 4*d**3 - 7 + l.
-2*(d - 1)*(d + 1)**3
Let t(y) be the first derivative of 49*y**4/30 + 28*y**3/15 + 4*y**2/5 - y + 6. Let d(c) be the first derivative of t(c). Factor d(k).
2*(7*k + 2)**2/5
Let y(w) be the second derivative of -w**5/10 - w**4/6 + w**3/3 + w**2 - 4*w. Factor y(i).
-2*(i - 1)*(i + 1)**2
Determine q so that -400/3*q - 5*q**5 - 400/3*q**3 + 200*q**2 + 80/3 + 125/3*q**4 = 0.
1/3, 2
Let m(k) be the third derivative of k**6/120 + 7*k**2. What is l in m(l) = 0?
0
Let c(r) be the second derivative of r**4/4 - r**3/2 - r + 24. Solve c(m) = 0 for m.
0, 1
Let u(h) be the first derivative of -4*h**3/9 - 2*h**2 + 40*h/3 + 5. What is a in u(a) = 0?
-5, 2
Let f(t) be the second derivative of 5*t**4/24 + 5*t**3/2 + 25*t**2/4 - 11*t. Suppose f(d) = 0. Calculate d.
-5, -1
Let u(q) be the third derivative of -1/420*q**6 - 5*q**2 - 2/735*q**7 + 0*q**4 + 0 + 0*q + 0*q**3 + 0*q**5 - 1/1176*q**8. Let u(t) = 0. Calculate t.
-1, 0
Suppose 0 = 2*m - 5 - 3. Suppose -m = -5*d + 11. Determine l so that -3*l - 18*l**2 + 2*l**d - 2*l + 24*l**4 + 9*l = 0.
-1, 0, 1/4, 2/3
Let j(a) be the second derivative of -a**7/105 - a**6/75 + a**5/25 + a**4/15 - a**3/15 - a**2/5 + 2*a. Factor j(v).
-2*(v - 1)**2*(v + 1)**3/5
Let i(t) be the first derivative of -t**8/6720 - t**7/1680 - t**6/1440 + 4*t**3/3 - 1. Let d(l) be the third derivative of i(l). Solve d(g) = 0.
-1, 0
Let g(n) be the second derivative of 0*n**2 + 0*n**4 + 0*n**5 + n + 0 + 0*n**3 + 1/30*n**6 + 1/42*n**7. Determine t so that g(t) = 0.
-1, 0
Let p(i) be the third derivative of i**8/168 + i**7/210 - i**6/40 - i**5/60 + i**4/24 - i**2. Find c such that p(c) = 0.
-1, 0, 1/2, 1
Let x(a) be the second derivative of -1/6*a**2 + a - 1/36*a**4 + 1/9*a**3 + 0. Factor x(v).
-(v - 1)**2/3
Let 2/17*q**4 - 2/17*q**2 - 2/17*q**3 + 0 + 2/17*q = 0. Calculate q.
-1, 0, 1
Solve 0 + 1/5*u**2 + 0*u = 0.
0
Suppose 0 = -2*r, 0 = -5*w + 5*r - 7*r + 20. Factor 0 + 0*j**2 + 0*j + 1/5*j**5 + 0*j**w - 1/5*j**3.
j**3*(j - 1)*(j + 1)/5
Factor 8/7*m**4 + 0*m**2 + 0 + 4/7*m**3 + 4/7*m**5 + 0*m.
4*m**3*(m + 1)**2/7
Factor 3*w + 11*w**2 - 8*w**2 + 57*w**4 + 3*w - 21*w**5 - 45*w**3.
-3*w*(w - 1)**3*(7*w + 2)
Find u such that 3/7*u**2 + 6/7*u + 0 = 0.
-2, 0
Let c be (-1)/4*(-184)/(-20). Let a = -17/10 - c. Determine w so that 1/5 + 2*w**3 + a*w**4 + 12/5*w**2 + 6/5*w = 0.
-1, -1/3
Let t(y) be the third derivative of -y**8/50400 - y**7/6300 + y**5/30 + 2*y**2. Let g(u) be the third derivative of t(u). Factor g(z).
-2*z*(z + 2)/5
Find l, given that 3/8*l**2 - 3/8*l + 0 = 0.
0, 1
Let f(o) be the second derivative of 0*o**2 + 10*o + 0 - 1/25*o**6 + 1/70*o**7 + 3/100*o**5 + 0*o**3 + 0*o**4. Factor f(t).
3*t**3*(t - 1)**2/5
Let h(f) be the second derivative of -3*f**5/100 - f**4/6 - 3*f**3/10 - f**2/5 - 17*f. Find w such that h(w) = 0.
-2, -1, -1/3
Let g(i) = -i**2 + 3*i + 9. Let b be g(4). Let 1/2*k**2 + 1/2*k**3 - 1/2*k**4 + 0 - 1/2*k**b + 0*k = 0. What is k?
-1, 0, 1
Let i(x) = 7*x**5 + 4*x**4 + 12*x**3 + 10*x**2 + 7*x + 6. Let f(g) = g**5 + g**3 + g**2 + g + 1. Let l(z) = -6*f(z) + i(z). Factor l(o).
o*(o + 1)**4
Factor 13*t**2 - 17*t**2 + 12*t**2 - 4 - 4*t**4.
-4*(t - 1)**2*(t + 1)**2
Let x(b) be the second derivative of -b**6/20 - 3*b**5/10 + 3*b**4/4 + b**3 - 15*b**2/4 + 45*b. Let x(n) = 0. Calculate n.
-5, -1, 1
Let o be (-186)/10 + 6/(-15). Let b = -16 - o. Factor -4/5*v + 6/5*v**b + 2/5*v**2 + 0.
2*v*(v + 1)*(3*v - 2)/5
Let k(t) be the second derivative of 25*t**4/12 + 5*t**3/2 - 5*t**2 + 6*t. Find i such that k(i) = 0.
-1, 2/5
Let u(d) be the first derivative of -d**3/5 + d**2/10 - 57. Let u(b) = 0. What is b?
0, 1/3
Let f be 2/(-8) - (-20)/72. Let y(p) be the third derivative of 2/27*p**3 + 1/270*p**5 + 0 + 0*p - 2*p**2 - f*p**4. Find r, given that y(r) = 0.
1, 2
Let g(s) be the second derivative of -10*s**6/9 - 9*s**5/4 - 2*s**4/3 + 8*s**3/9 - 27*s. Factor g(l).
-l*(4*l - 1)*(5*l + 4)**2/3
Let p(h) = -h - 12. Let b be p(-12). Find r such that b*r**3 - 2/5*r**2 + 2/5*r**4 + 0 + 0*r = 0.
-1, 0, 1
Let w(b) be the first derivative of b**4/18 - 2*b**3/27 + 20. Solve w(p) = 0 for p.
0, 1
Solve -4/7*d + 4/7*d**3 + 4/7*d**2 - 4/7*d**4 + 0 = 0.
-1, 0, 1
Let d be 2*-1 + 1/(5/10). Suppose 0*a + 2/5*a**4 + 1/5*a**3 + d*a**2 + 0 + 1/5*a**5 = 0. What is a?
-1, 0
Let v(t) be the first derivative of -t**5/4 - 3*t**4/4 + 11*t**3/12 + 3*t**2/4 - 27. Let v(z) = 0. Calculate z.
-3, -2/5, 0, 1
Let u(p) = p**2 - 8*p - 9. Let k be u(8). Let q be 1/((-3)/k) + -1. Find f such that -4*f + 2*f + q*f**5 + 4*f**4 + 0*f**4 - 4*f**2 = 0.
-1, 0, 1
Let j = 31/1533 + 2/73. Let y(x) be the second derivative of 2/21*x**4 + 4/105*x**6 + 1/147*x**7 + 0*x**2 + 0 + 3/35*x**5 + j*x**3 - 3*x. Factor y(u).
2*u*(u + 1)**4/7
Suppose 27 = 4*s + 15. Factor 0 + 2/7*d**s + 2/7*d + 4/7*d**2.
2*d*(d + 1)**2/7
Let p(u) be the second derivative of 2*u**6/15 + 2*u**5/5 - 4*u**3/3 - 2*u**2 - 3*u. Factor p(k).
4*(k - 1)*(k + 1)**3
Suppose -a = k + 1, -6*k - 1 = -k + 4*a. Factor -3/4*c**2 + 1/4*c**k + 3/4*c - 1/4.
(c - 1)**3/4
Let w(q) be the third derivative of -q**6/600 + q**5/300 + 3*q**2. Solve w(n) = 0.
0, 1
Let h be (10/32)/(7/28) - 1. Suppose 0*l + 0 + 1/4*l**3 + 1/2*l**2 - h*l**4 = 0. What is l?
-1, 0, 2
Let b(k) be the third derivative of -k**5/300 + k**4/24 - k**3/5 - 31*k**2. Let b(o) = 0. Calculate o.
2, 3
Suppose 3*a - 1 = -f + 1, -5*a + 10 = 5*f. Suppose -4*u + 2 + 2 - 3 - 2*u**f - 3 = 0. What is u?
-1
Determine i so that -1 - 1/2*i**2 + 3/2*i = 0.
1, 2
Suppose 0*l + 25 = 5*l. Suppose -2*z**l + 0*z**3 - 2*z**3 - 2*z**4 + 2*z**2 + 0*z**5 + 4*z**3 = 0. What is z?
-1, 0, 1
Let x(o) be the second derivative of 0 - 3*o + 1/105*o**7 + 0*o**4 + 0*o**3 + 0*o**2 + 0*o**5 + 1/75*o**6. Factor x(l).
2*l**4*(l + 1)/5
Let u = -2728 - -8110/3. Let c = 25 + u. Solve 1/3*g**4 + 2/3*g**3 + 0*g + c*g**2 + 0 = 0.
-1, 0
Let r(u) be the second derivative of u**8/36960 - u**7/4620 + u**6/1320 - u**5/660 - u**4/3 + u. Let j(p) be the third derivative of r(p). Solve j(b) = 0.
1
Let r(m) be the first derivative of 2*m**3/27 + 4*m**2/9 - 32. What is x in r(x) = 0?
-4, 0
Factor 2/7*u**3 + 0*u - 4/7*u**2 + 0.
2*u**2*(u - 2)/7
Let x(c) be the first derivative of -1/2*c + 0*c**3 - 1/4*c**4 + 1/10*c**5 + 3 + 1/2*c**2. What is i in x(i) = 0?
-1, 1
Determine u so that -9*u**3 - 3/2 + 6*u - 3/2*u**2 = 0.
-1, 1/3, 1/2
Let i be ((-13)/(-52))/(1/12). Let t(j) be the second derivative of 0*j**2 + 0 + 1/66*j**4 + i*j + 1/33*j**3. Factor t(l).
2*l*(l + 1)/11
Let j(a) be the third derivative of -a**8/5040 + a**7/1260 + a**6/90 - 2*a**5/15 - 7*a**2. Let x(o) be the third derivative of j(o). Let x(c) = 0. Calculate c.
-1, 2
Let y(t) be the second derivative of -t**7/231 - 19*t**6/165 - 63*t**5/55 - 54*t**4/11 - 72*t**3/11 + 38*t + 1. Suppose y(n) = 0. Calculate n.
-6, -1, 0
Let v(s) be the third derivative of 2*s**2 + 0 + 1/24*s**6 - 11/60*s**5 + 0*s - 1/6*s**3 + 7/24*s**4. Solve v(n) = 0 for n.
1/5, 1
Let a = -75 - -19. Let f be (1 + 3)*(-7)/a. Factor -9/2*k**2 + 3/2*k**4 - 1 + 9/2*k - f*k**3.
(k - 1)**2*(k + 2)*(3*k - 1)/2
Let c(j) be the second derivative of -1/50*j**5 - 1/150*j**6 + 0*j**2 + 0 + 4*j + 0*j**4 + 0*j**3. Let c(d) = 0. What is d?
-2, 0
Let a(o) be the first derivative of -3*o**4/2 + 9*o**3/2 + 75*o**2/4 + 18*o - 25. Factor a(d).
-3*(d - 4)*(d + 1)*(4*d + 3)/2
Determine o so that -99*o**2 - 10 + 3*o + 2*o + 104*o**2 = 0.
-2, 1
Let k be 21/52 - (-10)/(-65). Let l(n) be the first derivative of 2 + 1/2*n**2 + 0*n + 1/5*n**5 - 1/3*n**3 - k*n**4. Factor l(d).
d*(d - 1)**2*(d + 1)
Determine n, given that 6 - 5*n**2 + 22*n + 3*n**2 - 6*n**2 = 0.
-1/4, 3
Let f(y) be the second derivative of -y**4/12 - y**3 - y**2 - y. Let n be f(-4). Factor -1 - 2*a**2 - 2*a - n - 1 - 6*a.
-2*(a + 2)**2
Let a(k) be the third derivative of 9*k**7/35 + 9*k**6/10 + 6*k**5/5 + 5*k**4/6 + k**3/3 - 58*k**2. Determine p, given that a(p) = 0.
-1, -1/3
Let j(y) be the third derivative of y**6/120 - 