+ 0*w**2 - 1/3*w**4 = 0. Calculate w.
-1/2, 0, 1
What is c in 32/13 - 2/13*c**3 - 4*c + 22/13*c**2 = 0?
1, 2, 8
Suppose 7*q = 270 - 270. Factor 1/8*c + q - 1/8*c**2.
-c*(c - 1)/8
Let m be ((-18)/72)/((-55)/20)*2. Factor 2/11 - m*u**2 + 0*u.
-2*(u - 1)*(u + 1)/11
Factor 143 - 252*v - 360 - 38 + 3*v**2.
3*(v - 85)*(v + 1)
Let v be (-68)/(-16) + (45/12 - 4). Let z(f) be the third derivative of 5*f**2 + 0 + 1/150*f**6 - 1/525*f**7 - 1/150*f**5 + 0*f + 0*f**3 + 0*f**v. Factor z(u).
-2*u**2*(u - 1)**2/5
Suppose -75*b - 10*b**2 - b**2 + 17*b**2 + 130 + 4*b**2 - 5*b**2 = 0. What is b?
2, 13
Let i(a) be the third derivative of 0*a**3 - 1/30*a**6 + 2*a**2 + 0 + 0*a + 0*a**4 - 1/15*a**5. Suppose i(j) = 0. Calculate j.
-1, 0
Let c = -3214 + 16082/5. Factor -c*h**2 + 8/5*h + 4/5*h**3 + 0.
4*h*(h - 2)*(h - 1)/5
Factor 54*k**2 - 104*k**4 + 92*k**4 + 10*k**2 + 2*k**5.
2*k**2*(k - 4)**2*(k + 2)
Let y(h) be the third derivative of -h**7/840 - h**6/240 + h**5/20 + h**4/3 - 9*h**2. Let c(t) be the second derivative of y(t). Factor c(s).
-3*(s - 1)*(s + 2)
Let n(x) = -x**2 - 60*x - 900. Let q(b) = 2*b**2 + 120*b + 1800. Let s(c) = -9*n(c) - 4*q(c). What is g in s(g) = 0?
-30
Let y(t) be the third derivative of 0*t**5 + 0 + 19*t**2 + 0*t**4 + 4/1155*t**7 + 0*t**3 + 0*t - 1/660*t**6 - 1/616*t**8. Find p, given that y(p) = 0.
0, 1/3, 1
Suppose 5*z = k, 0 = 12*k - 13*k + 3*z. Let o(g) be the third derivative of -5*g**2 + 0 - 1/8*g**4 + k*g + 1/3*g**3 + 1/60*g**5. Find w such that o(w) = 0.
1, 2
Let n(i) be the third derivative of -i**9/136080 + i**7/7560 + i**6/3240 - 5*i**4/24 + 31*i**2. Let r(k) be the second derivative of n(k). Factor r(x).
-x*(x - 2)*(x + 1)**2/9
Let x(d) be the third derivative of d**5/30 - 5*d**2 - 5. Find f such that x(f) = 0.
0
Let o(d) be the second derivative of d**7/147 - 2*d**6/105 + d**5/70 - 15*d - 1. Factor o(p).
2*p**3*(p - 1)**2/7
Let f(i) = -14*i**2 - 112*i + 2. Let v be f(-8). Factor -3/5*t - 4/5 + 1/5*t**v.
(t - 4)*(t + 1)/5
Suppose 5*n**5 - n**3 + 0*n**2 - 10*n**5 + 30*n**2 - 20*n**4 - n**3 - 3*n**3 = 0. What is n?
-3, -2, 0, 1
Let t = -44/35 - -58/35. Solve t*k**2 - 8/5 - 6/5*k = 0 for k.
-1, 4
Let a(c) be the second derivative of c**5/35 - 10*c**4/21 - 104*c**3/21 - 16*c**2 - 2*c - 53. Solve a(r) = 0.
-2, 14
Let k = -22528/5 + 4506. Factor 0 + 0*g**3 + 1/5*g**5 - 2/5*g**4 - 1/5*g + k*g**2.
g*(g - 1)**3*(g + 1)/5
Let p be 435/9 - 1/3. Suppose 0 = -4*d + d + 3*n + p, 0 = 2*n + 2. What is v in -5*v**3 + v**3 + 2*v**5 + 17*v - d*v = 0?
-1, 0, 1
Let o = -2584 + 2586. Find i, given that 9/7*i + 2/7 + i**o = 0.
-1, -2/7
Let z = 1831 - 25631/14. Let g(y) be the first derivative of -3/7*y**2 - 1/7*y**3 + 3/35*y**5 - 10 + 0*y + z*y**4. Find x such that g(x) = 0.
-2, -1, 0, 1
Factor 7*d**2 - 44 - 4*d**2 - 66*d - 41 - 9 + 25.
3*(d - 23)*(d + 1)
Let d = 399 - 396. Let b(i) be the third derivative of 0*i - i**2 + 1/20*i**4 + 1/300*i**5 + 3/10*i**d + 0. Factor b(r).
(r + 3)**2/5
Let k be (-34)/(-10) + (-22 - -4 - -15). Let c(i) = i - 9. Let w be c(9). Factor w - k*h**2 + 0*h.
-2*h**2/5
Let x(m) be the third derivative of -3*m**5/10 - 35*m**4/6 + 16*m**3/3 + 3*m**2 - 4*m. Factor x(b).
-2*(b + 8)*(9*b - 2)
Let x be (((-72)/160)/((-15)/10))/((-12)/(-10)). Factor -x*k + 0*k**2 + 0 + 1/4*k**3.
k*(k - 1)*(k + 1)/4
Let w(f) = -f**3 - 8*f**2 - 2*f - 8. Let p be w(-8). Suppose -p*q = -4*q - 12. Factor i**2 + q*i**3 + 3*i + i**2 + 4*i**2 + 0*i.
3*i*(i + 1)**2
Let z = -310 + 310. Let u(w) be the second derivative of z*w**2 - 4*w + 0*w**3 + 0 + 1/20*w**5 - 1/12*w**4. Suppose u(y) = 0. Calculate y.
0, 1
Determine a, given that 20*a**2 - 27/4*a + 117/4*a**3 - 5/2 + 5*a**4 = 0.
-5, -1, -1/4, 2/5
Let h(k) be the first derivative of -13*k**3/3 + 14*k**2 - 4*k + 63. Solve h(p) = 0 for p.
2/13, 2
Let q(z) = -6*z**3 + 2*z**2 + 4*z + 12. Let u(o) = 3*o**2 - o + 1. Let h(s) = -q(s) + 4*u(s). Factor h(m).
2*(m - 1)*(m + 2)*(3*m + 2)
Find h such that 69*h**2 + 3*h**3 + 2491 - 2*h**3 + 95*h + 856*h + 636*h + 9676 = 0.
-23
Let j(a) be the first derivative of a**3 - 12*a**2 - 60*a + 83. Factor j(m).
3*(m - 10)*(m + 2)
Let f(d) be the third derivative of -2/57*d**7 + 0 + 25/3192*d**8 - 14/285*d**5 + 0*d + 0*d**3 + 23/380*d**6 - 6*d**2 + 1/57*d**4. What is m in f(m) = 0?
0, 2/5, 1
Let a(q) be the third derivative of -q**8/420 - q**7/70 - q**6/45 + 13*q**3/6 - 4*q**2. Let v(u) be the first derivative of a(u). Factor v(b).
-4*b**2*(b + 1)*(b + 2)
Let u = -37 + 37. Suppose h - 14 = -5*l, u = 3*l - 5*l - 4*h + 20. What is g in -l*g**3 - 7*g**2 + g**2 + 11*g**3 - 3*g**4 = 0?
0, 1, 2
Let y(m) be the first derivative of m**9/1512 - 3*m**8/1960 + m**7/1470 + 14*m**3/3 - 9. Let p(x) be the third derivative of y(x). Factor p(w).
2*w**3*(w - 1)*(7*w - 2)/7
Let d = 1403/7 - 200. Let a = d - -1/14. What is u in 0*u - a*u**2 + 0 = 0?
0
Let m(o) be the first derivative of 56/3*o**3 + 2*o**5 + 0*o - 8*o**2 + 39 - 11*o**4. Find u, given that m(u) = 0.
0, 2/5, 2
Let n(b) be the first derivative of b**4 - 160*b**3/3 + 714*b**2 + 3528*b + 338. Let n(i) = 0. What is i?
-2, 21
Let l(i) be the second derivative of 5*i**7/42 + 5*i**6/6 + 2*i**5 + 5*i**4/3 - 7*i - 2. Determine w, given that l(w) = 0.
-2, -1, 0
Let l(p) = -8*p**2 - 27*p - 34. Let h(i) = 9*i**2 + 27*i + 36. Let f(g) = 5*h(g) + 6*l(g). Factor f(a).
-3*(a + 1)*(a + 8)
Let a = 13 - 10. Solve 54*b - 2*b**3 - 15*b**2 + 5*b**3 - 42*b + 0*b**a = 0 for b.
0, 1, 4
Let v be 8/3 + (-1)/(-3). Suppose n + 3*b = 14, -2*n - 2*b + 25 = v*b. Factor -1/4*o**n + 0*o + 1/2*o**4 + 0*o**2 + 0 - 1/4*o**3.
-o**3*(o - 1)**2/4
Solve 33*u**2 + 45*u**3 + 28 - 27*u**4 + 171*u**2 + 94*u + 86*u + 20 = 0 for u.
-1, -2/3, 4
Let q(a) be the second derivative of -a**4/24 + 7*a**3/12 - 3*a**2/2 + 65*a. Factor q(n).
-(n - 6)*(n - 1)/2
Factor -5*c**3 + 55*c**2 + 140 - 203*c + 72*c - 29*c.
-5*(c - 7)*(c - 2)**2
Let o(f) be the third derivative of 1/20*f**5 + 3/8*f**4 - 3/40*f**6 + 0 + 0*f - f**3 + 8*f**2 + 1/70*f**7. Factor o(x).
3*(x - 2)*(x - 1)**2*(x + 1)
Let z(p) be the third derivative of p**6/10 + 3*p**5/4 + 3*p**4/2 - 2*p**3 + 270*p**2. What is d in z(d) = 0?
-2, 1/4
Let v = -29207 + 379701/13. Suppose -6/13*x**2 - 2/13 + 10/13*x - v*x**3 + 8/13*x**4 = 0. Calculate x.
-1, 1/4, 1
Let i(r) be the third derivative of -r**7/1155 - 4*r**6/55 - 117*r**5/55 - 252*r**4/11 - 1323*r**3/11 - 245*r**2. Factor i(v).
-2*(v + 3)**2*(v + 21)**2/11
Let w be -2 - 6 - (1 - 114/12). Solve 1/4*r**2 + w*r + 1/4 = 0.
-1
Solve -2/3*c**3 - 70/3*c + 38/3*c**2 + 34/3 = 0 for c.
1, 17
Let 0 - 3/2*g**2 + 1/3*g - 7/6*g**5 + 3/2*g**4 + 5/6*g**3 = 0. Calculate g.
-1, 0, 2/7, 1
Let i be 250/175 + ((-8)/7 - 0). Find w such that -i*w**3 - 8/7*w**2 - 6/7*w + 0 = 0.
-3, -1, 0
Factor -3/2*g**4 + 9/4*g**2 + 0*g + 15/4*g**3 + 0.
-3*g**2*(g - 3)*(2*g + 1)/4
Let z = -4879 - -48791/10. Let 0*k + z*k**5 + 1/2*k**3 + 2/5*k**4 + 1/5*k**2 + 0 = 0. Calculate k.
-2, -1, 0
Let u(m) = m**5 + m - 2. Let q(p) = 3*p**5 - 2*p**4 + 65*p**3 + 86*p**2 + 32*p - 16. Let o(h) = -5*q(h) + 40*u(h). Suppose o(k) = 0. What is k?
-3, -1, -2/5, 0, 4
Let z(j) be the third derivative of j**5/30 - 25*j**4/6 + 49*j**3/3 - 175*j**2 + 3. Factor z(a).
2*(a - 49)*(a - 1)
Let v(d) be the second derivative of d**7/42 + 17*d**6/6 + 609*d**5/5 + 6076*d**4/3 + 10976*d**3/3 - 332*d. Determine h, given that v(h) = 0.
-28, -1, 0
Let n(v) = -2*v**2 - v**3 + 7*v - 4*v - 2 - 5*v. Let q be n(-2). Solve -2*b**q + 2*b**4 + 81*b**3 - 81*b**3 = 0 for b.
-1, 0, 1
Let q(x) be the second derivative of -x**9/90720 - x**8/13440 + x**6/1080 + 5*x**4/3 - 8*x. Let d(z) be the third derivative of q(z). Factor d(b).
-b*(b - 1)*(b + 2)**2/6
Suppose 9*m + r = 4*m - 65, 0 = 5*r - 25. Let u be (m/21)/(1/(-6)). Find z such that -62*z**2 + 70*z**u + 5*z + 27*z**3 - 8 - 49*z**5 + 74*z**3 - 57*z = 0.
-1, -2/7, 1, 2
Suppose -5*o = 3*t - 1222, 984 = -97*o + 101*o + 4*t. Factor -o*l + 22*l**2 + 2662/3 - 2/3*l**3.
-2*(l - 11)**3/3
Let f = 10851 - 54246/5. Factor 0*w + 0 + 6/5*w**2 + f*w**3 + 3/5*w**4.
3*w**2*(w + 1)*(w + 2)/5
Let i(g) be the second derivative of 3*g**2 - 1/28*g**7 - 4*g**3 + 25/8*g**4 - 57/40*g**5 + 17*g + 0 + 7/20*g**6. Determine d so that i(d) = 0.
1, 2
Let v(h) = -6*h**3 + 8*h**2 + 22*h + 24. Let a(j) = 5*j**3 - 9*j**2 - 24*j - 22. Let k(t) = -4*a(t