 = 0.
-38, 0
Let v = 253/6 + -467/12. Let o = -21632 + 21637. Factor 17/4*i**3 - 2*i - 3/4*i**2 + 1 + 3/4*i**o - v*i**4.
(i - 2)*(i - 1)**3*(3*i + 2)/4
Let a(k) be the second derivative of k**6/75 - 6*k**5/25 + 7*k**4/10 + 98*k**3/15 + 21*k. Determine u so that a(u) = 0.
-2, 0, 7
Determine r, given that 2/7*r**2 - 18/7*r + 16/7 = 0.
1, 8
Let b(z) be the third derivative of z**6/40 + 67*z**5/60 + 5*z**4/6 - 22*z**3/3 - z**2 - 233*z. Factor b(i).
(i + 1)*(i + 22)*(3*i - 2)
Let o(c) be the second derivative of -c**4/32 - 13*c**3/8 + 21*c**2/2 + 76*c. Factor o(p).
-3*(p - 2)*(p + 28)/8
Let 306/13*x**2 - 76/13 + 34/13*x + 10/13*x**4 + 206/13*x**3 = 0. What is x?
-19, -1, 2/5
Let m(w) be the second derivative of -3*w**6/20 + 21*w**5/40 + w**4/12 - 5*w**3/3 + 2*w**2 + 124*w. Let m(a) = 0. What is a?
-1, 2/3, 2
Factor 40*r + 400/7 + 9/7*r**4 - 71/7*r**2 - 6*r**3.
(r - 4)**2*(3*r + 5)**2/7
Let m(r) be the first derivative of -2*r**6/9 - 22*r**5/45 - 2*r**4/9 + 2*r**3/27 + 83. Factor m(d).
-2*d**2*(d + 1)**2*(6*d - 1)/9
Factor -2*u**4 + 6*u - 18*u**3 - 14*u + 12*u**4 - 2*u**5 + 14*u**2 + 4*u.
-2*u*(u - 2)*(u - 1)**3
Suppose -3*o - 12 = 30. Let l(r) = 6*r + 87. Let d be l(o). Factor 0*s**d + 3/2*s**4 + 0*s**2 + 0 + 0*s - 5/2*s**5.
-s**4*(5*s - 3)/2
Let u(z) be the third derivative of -z**8/168 - 2*z**7/35 - 13*z**6/60 - 2*z**5/5 - z**4/3 - 347*z**2. Factor u(c).
-2*c*(c + 1)**2*(c + 2)**2
Let p = 4 - 5. Let w be (3 + p - 5)*2/(-18). Factor -w + l - l**2 + 1/3*l**3.
(l - 1)**3/3
Let u(d) be the first derivative of d**4/16 - d**3/12 - d**2/4 - 30. Solve u(a) = 0 for a.
-1, 0, 2
Factor 196*s - 70*s**3 + 32*s**3 - 56*s**2 + 42*s**3.
4*s*(s - 7)**2
Let h(m) be the third derivative of m**5/180 + 7*m**4/72 - m**3 + 229*m**2. Factor h(c).
(c - 2)*(c + 9)/3
Let x = -9 - -14. Suppose 0 = -0*i - 3*i + g + 10, 3*i = -4*g + x. Factor 0 - 2/5*o**4 - 6/5*o**2 + 6/5*o**i + 2/5*o.
-2*o*(o - 1)**3/5
Let g(a) be the third derivative of a**6/3240 - a**5/360 - a**4/54 - 2*a**3/3 - 22*a**2. Let h(q) be the first derivative of g(q). Factor h(z).
(z - 4)*(z + 1)/9
Let c = 17 + -5. Let y = c - 7. Factor 3 + 129*g**5 + 103*g**4 - 48*g**y + 61*g**4 + 33*g + 79*g**4 + 270*g**3 + 138*g**2.
3*(g + 1)**2*(3*g + 1)**3
Let n(c) be the second derivative of -205/6*c**3 + 7*c + 4/3*c**6 - 40/21*c**7 + 50/3*c**4 + 0 + 111/4*c**5 + 15*c**2. Solve n(q) = 0 for q.
-2, -1, 1/4, 3
Let u = -5084 + 5084. Factor -7/8*h**2 + u + 1/4*h.
-h*(7*h - 2)/8
Let u(o) be the third derivative of -o**5/15 + o**4/3 + 16*o**3/3 - 31*o**2 + 2. Factor u(p).
-4*(p - 4)*(p + 2)
Let p = -2/3851 - -80875/7702. Factor 3/2 - 39/2*r**3 + 6*r**4 - p*r + 45/2*r**2.
3*(r - 1)**3*(4*r - 1)/2
Find k such that -5/2*k - 4*k**2 + 25 - 1/2*k**3 = 0.
-5, 2
Suppose -171 = -n - 178. Let u be (2/n)/(80/28 - 3). Determine q, given that 2/5*q**u + 2*q - 4/5*q**3 + 4/5 = 0.
-1, -1/2, 2
Let v be (3/(-66)*-12)/((-888)/(-1221)). Let n = 23 + -45/2. Determine c so that -1/4*c**2 + v + n*c = 0.
-1, 3
Let -6/5*l + 2/5*l**2 - 8/5 = 0. Calculate l.
-1, 4
Let i be (-8 + 4 + 7)*(-216)/(-90). Suppose i*h**2 + 0 - 9/5*h**4 + 0*h - 48/5*h**3 = 0. Calculate h.
-6, 0, 2/3
Let l be (9 + 5 + -9)/((-70)/(-28)). Factor -5/2*n**l + 1/4*n**5 - 5/4*n**4 + 5/4*n + 5/2*n**3 - 1/4.
(n - 1)**5/4
Let a be (441/(-27) + 9)*(-9)/12. Let b(k) be the first derivative of -1 + a*k**3 + 0*k - 3/2*k**2 - 45/8*k**4. Suppose b(u) = 0. What is u?
0, 1/3, 2/5
Let r be (28 + -3 + -1)/2. Let a(g) = g**2 + 6*g + 5. Let u(b) = 3*b**2 + 15*b + 12. Let s(k) = r*a(k) - 5*u(k). Factor s(o).
-3*o*(o + 1)
Let l(w) = 3*w**3 + 4*w**2 + 6*w + 7. Let v be l(-2). Let q be (v/(728/16))/((-1)/7). Let -u - 7/2*u**q + 0 = 0. What is u?
-2/7, 0
Suppose 0*f - 2 = -f. Let b be 8/28 + 153/126. Find p such that -1/2*p + 0 + b*p**2 + f*p**3 = 0.
-1, 0, 1/4
Let a = 1602 - 1599. Find p, given that 1/2*p**a - 1/2*p**2 + 0 + 0*p = 0.
0, 1
Suppose -5*s = 3*p + 19, 0 = -23*p + 19*p - 3*s - 7. Factor -4/3 - 2/3*y**p - 2*y.
-2*(y + 1)*(y + 2)/3
Let i**3 + 4 + i**4 - 6*i - 12*i**2 + 5*i**3 - 3*i**4 - 2*i**2 + 12*i**2 = 0. Calculate i.
-1, 1, 2
Let a = -38578/15 - -2572. Let g(j) be the second derivative of 0 + 4/15*j**3 + 1/50*j**5 - 3*j + 0*j**2 + a*j**4. Factor g(n).
2*n*(n + 2)**2/5
Let b(a) be the second derivative of 1/2*a**3 + 0 + 0*a**2 + 3/10*a**5 - 5/8*a**4 - 13*a - 1/20*a**6. Determine p, given that b(p) = 0.
0, 1, 2
Let h(m) be the second derivative of -m**4/3 - 50*m**3/3 + 108*m**2 - 547*m. Solve h(i) = 0.
-27, 2
Let l(g) be the second derivative of 0*g**2 - 2/3*g**3 - 10*g + 1/3*g**4 + 0. Let l(c) = 0. Calculate c.
0, 1
Let u(s) be the third derivative of -4*s**2 + 1/100*s**5 - 1/20*s**4 - 3/10*s**3 + 3*s + 0. Suppose u(y) = 0. Calculate y.
-1, 3
Let w(y) be the third derivative of 2/15*y**6 + 0*y**3 + 0*y**4 + 0 - 8*y**2 + 8/35*y**7 - 1/12*y**8 + 0*y + 0*y**5. What is h in w(h) = 0?
-2/7, 0, 2
Let l(t) be the first derivative of 0*t**2 - 3/2*t**4 + 0*t**3 - 12 + 1/3*t**6 - 4/5*t**5 + 0*t. Determine h so that l(h) = 0.
-1, 0, 3
Suppose -10*w + 8*w + 8 = 3*x, -5*w = -4*x + 3. Factor 0 + 2/3*k**4 + 4/3*k**3 - x*k**2 + 0*k.
2*k**2*(k - 1)*(k + 3)/3
Let a(f) be the third derivative of -f**9/756 + f**7/210 - 14*f**3/3 - 9*f**2. Let x(r) be the first derivative of a(r). Factor x(z).
-4*z**3*(z - 1)*(z + 1)
Let c = 72 - 70. Solve 45*k**c + 48*k**2 - 8*k - 91*k**2 + 8 = 0 for k.
2
Suppose -130*l**2 - l**5 - 71 + 2*l**5 - 6*l**5 + 111 - 60*l + 55*l**3 - 20*l**5 + 60*l**4 = 0. What is l?
-1, 2/5, 2
Factor 1/4*d**3 - 6750 + 675*d - 45/2*d**2.
(d - 30)**3/4
Factor -294*c**5 + 8*c**4 + 4*c**4 + 290*c**5 - 8*c**3.
-4*c**3*(c - 2)*(c - 1)
Let o(f) be the first derivative of f**5/100 - f**4/20 + f**3/15 + 12*f - 10. Let l(y) be the first derivative of o(y). Determine t so that l(t) = 0.
0, 1, 2
Let a(f) = 8*f + 34. Let g be a(-4). Factor -244*m**4 - m**3 - m**g + 245*m**4 + 3*m - 2*m**3.
m*(m - 3)*(m - 1)*(m + 1)
Factor 12/11*d**4 + 2/11*d**5 + 24/11*d**2 + 26/11*d**3 + 0 + 8/11*d.
2*d*(d + 1)**2*(d + 2)**2/11
Let a(g) be the second derivative of -2*g**6/105 - 43*g**5/140 - 109*g**4/84 + 5*g**3/7 - 70*g. Let a(m) = 0. What is m?
-6, -5, 0, 1/4
Let x(g) = -7*g**3 + 3*g**2 + 3*g - 1. Let h(c) be the third derivative of -c**6/120 - c**4/24 - c**3/6 - c**2 - 8*c. Let z(n) = 6*h(n) - x(n). Factor z(t).
(t - 5)*(t + 1)**2
Let z(u) = 3*u**3 - 12*u**2 - 61*u - 46. Let f(n) = -35*n**3 + 145*n**2 + 730*n + 550. Let v(d) = -2*f(d) - 25*z(d). Let v(p) = 0. What is p?
-2, -1, 5
Let t(z) be the first derivative of 45*z**4/4 + 10*z**3/3 - 700. Factor t(d).
5*d**2*(9*d + 2)
What is d in 6*d**2 - 9/2 + 3*d - 3/2*d**4 - 3*d**3 = 0?
-3, -1, 1
Let m(u) be the second derivative of -2/7*u**3 + 2/7*u**2 + 0 + 1/7*u**4 - 13*u - 1/35*u**5. Find t, given that m(t) = 0.
1
Let d(l) be the second derivative of -l**5/40 - 5*l**4/72 - 159*l. Factor d(t).
-t**2*(3*t + 5)/6
Factor 200*y**2 - 21*y**3 + 241 + 18*y**3 + y**4 - 550*y - 23*y**3 + 134.
(y - 15)*(y - 5)**2*(y - 1)
Let o(k) = -k**3 - 7*k**2 + 8*k - 8. Let u be o(-7). Let w be (-2)/(-2) - 5 - u/11. Factor w*n**2 - 16/11 - 6/11*n**3 - 8/11*n.
-2*(n - 2)**2*(3*n + 2)/11
Let f(n) = -2*n - 25. Let z be f(-14). Let b(l) be the first derivative of -2/15*l**z - 6/5*l + 2 - 4/5*l**2. Let b(g) = 0. What is g?
-3, -1
Let x = 1/84 - -409/924. Suppose -3*w = w + 3*s - 4, -8 = -4*w - 2*s. Determine m so that -3/11*m**w + x*m**3 - 2/11*m**2 + 0 + 0*m = 0.
0, 2/3, 1
Suppose 0 = 116*f - 117*f + 6. Factor -6*y - 44*y**4 - 10*y + 6 - f*y**2 + 18*y**2 + 42*y**4.
-2*(y - 1)**3*(y + 3)
Suppose -28 = -4*q - 0*x - x, -3*q - 2*x + 26 = 0. Suppose 3*h - 4*k = -9*k - q, -4*k - 15 = -h. What is p in p**3 + h*p + 6 - 6 + 1 + 3*p**2 = 0?
-1
Let 108*m**2 + 2793*m**4 - 5584*m**4 + 24*m**3 + 216*m + 162 + 2793*m**4 = 0. What is m?
-3
Let b be (-10114)/65 - (-1)/10. Let n = b + 161. Suppose 1 + n*t**3 + 7/2*t - 10*t**2 = 0. Calculate t.
-2/11, 1
Let o be 8/(-6)*43/(-17200). Let d(h) be the third derivative of 0*h - o*h**6 + 1/60*h**4 + 1/15*h**3 - 6*h**2 - 1/150*h**5 + 0. Determine z so that d(z) = 0.
-1, 1
Let z = -7664 - -38323/5. Factor 0 - 3/5*d**3 + z*d + 0*d**2.
-3*d*(d - 1)*(d + 1)/5
Suppose -6/13*r**5 + 644/13*r**2 - 192/13 - 346/13*r**3 + 76/13*r**4 - 320/13*r = 0. What is r?
-1/3, 2, 3, 4
Factor 1/3*u**2