- 10*f**z + 5*f**4 - 20*f - 10*f**2 + 13*f**2 = 0.
-1, 0, 4
Factor 96532*h**3 - 210*h**2 + 0*h**4 - 160 - 5*h**4 - 320*h - 96587*h**3.
-5*(h + 1)*(h + 2)*(h + 4)**2
Suppose -13*q + 297 = -535. Let v = -127/2 + q. Suppose -2*j + 2 + v*j**2 = 0. Calculate j.
2
Let q be 7 + ((-59)/12 - (-204)/(-153)). Factor -q*t - 5/4*t**2 - 1/4*t**3 + 9/4.
-(t - 1)*(t + 3)**2/4
Let n(b) be the third derivative of -b**5/300 - b**4/10 + 14*b**3/15 + 69*b**2. What is x in n(x) = 0?
-14, 2
Let x = -3383 - -3389. Solve 0 + x*o - 3/2*o**2 = 0 for o.
0, 4
Suppose -2/3*o**2 - 10082/3 + 284/3*o = 0. What is o?
71
Let g = 12/17 + -2/51. Let d(c) be the second derivative of -1/6*c**4 - c**2 + 10*c + 0 - g*c**3. Factor d(h).
-2*(h + 1)**2
Let a(k) be the second derivative of 1/4*k**2 + 0 - 1/4*k**3 - 8*k - 5/32*k**4 - 1/40*k**5. Factor a(w).
-(w + 2)**2*(4*w - 1)/8
Let a(t) = -14*t + 933. Let y be a(66). Let v(k) be the first derivative of k**5 + 5/3*k**3 + 5/2*k**4 + 0*k**2 + 0*k - y. What is r in v(r) = 0?
-1, 0
Let n(g) be the first derivative of -30*g**5/11 + 15*g**4 - 82*g**3/11 + 12*g**2/11 + 40. Solve n(t) = 0.
0, 1/5, 4
Let n = 2321/42 + -331/6. Let l(c) be the second derivative of 2/3*c**6 - n*c**7 + 0 + 2*c**2 - 10/3*c**3 + 10/3*c**4 - 6*c - 2*c**5. Factor l(k).
-4*(k - 1)**5
Suppose -v = 2*p + 1 - 4, 8*p - 21 = -v. Solve 0*d + 3/7*d**2 - 4/7 + 1/7*d**p = 0 for d.
-2, 1
Let l = 35418 + -247910/7. Factor -2*m**3 - l*m**2 - 4/7*m**4 + 0 - 6/7*m.
-2*m*(m + 1)**2*(2*m + 3)/7
Let m be ((-1656)/(-368))/(7/2). Suppose -12/7*y**2 + 3/7*y + 0 + m*y**3 = 0. Calculate y.
0, 1/3, 1
Solve -576/13*j**2 - 56/13*j**3 - 4320/13 - 2/13*j**4 - 2592/13*j = 0 for j.
-10, -6
Let q(w) = 10*w**3 - 16*w**2 + 56*w - 112. Let j(a) = -3*a**3 + 5*a**2 - 19*a + 37. Let z(x) = -16*j(x) - 5*q(x). Suppose z(r) = 0. What is r?
-4, 2
Let g(p) = 14*p**3 - 19*p**2 - 161*p - 209. Let j(o) = 2*o + 20 - o**2 + 52*o + 50 - 5*o**3 + 7*o**2. Let r(z) = 6*g(z) + 17*j(z). Solve r(l) = 0 for l.
-4
Let f be 83 - (8/(-20) + 17/5). Solve -18*z**2 + 100 - f - 7*z**2 + 5*z**4 = 0 for z.
-2, -1, 1, 2
Suppose -2*o + 8 = 2*o. Let z = o - 0. What is d in -2*d**z + d**3 + d**2 + 2*d**3 - 2*d**2 = 0?
0, 1
Let p(d) be the second derivative of 3 - 12*d + 0*d**2 - 1/12*d**3 + 1/24*d**4. Factor p(y).
y*(y - 1)/2
Let k be ((-3)/(-6))/(1/6). Suppose -n**2 + k*n**3 + 2*n**2 + 2*n**2 - 33*n + 18*n + 9 = 0. What is n?
-3, 1
Factor 0*r + 3/2*r**5 + 27/2*r**3 + 0*r**2 + 0 + 9*r**4.
3*r**3*(r + 3)**2/2
Suppose 0 = -5*h + 4 + 11. Suppose 3 - 2 - 5 - 4*o + h*o**2 + 0 = 0. What is o?
-2/3, 2
Let o(x) be the third derivative of -1/525*x**7 + 1/60*x**4 - 1/50*x**5 + 1/100*x**6 + 0*x + 25*x**2 + 0*x**3 + 0. Factor o(u).
-2*u*(u - 1)**3/5
Let o(v) = 4*v**2 - 71*v + 280. Let y be o(12). Let z = 4845/7 + -691. Let 2/7 - z*i - 8/7*i**3 + 2/7*i**y + 12/7*i**2 = 0. What is i?
1
Let o(j) = 14*j**4 - 59*j**3 - 115*j**2 + 496*j + 816. Let t(h) = 12*h**4 - 60*h**3 - 112*h**2 + 496*h + 816. Let p(r) = -4*o(r) + 5*t(r). Factor p(b).
4*(b - 17)*(b - 3)*(b + 2)**2
Let u(w) be the second derivative of w**7/840 - w**6/240 + w**5/240 + 5*w**2/2 - 18*w. Let c(j) be the first derivative of u(j). Factor c(x).
x**2*(x - 1)**2/4
Let w(z) be the first derivative of z**5/180 - z**4/18 + 2*z**3/9 - 9*z**2/2 - 6. Let n(m) be the second derivative of w(m). Find h such that n(h) = 0.
2
Let y(r) = -r**2 - 212*r + 430. Let f be y(2). Factor 2*j**3 + 4/9*j + 0 - 22/9*j**f.
2*j*(j - 1)*(9*j - 2)/9
Let g(w) = -6*w - 3. Let o be g(-2). Suppose 3*d - o = 6. Factor -2*u**4 - 3*u**4 - 3*u**d + 2*u**4 + 3*u**2 + 3*u**3.
-3*u**2*(u - 1)*(u + 1)**2
Suppose 92 = 41*f - 31. Let s(y) be the third derivative of -1/357*y**7 + 0 + 0*y**4 + 0*y**f - 1/510*y**5 - y**2 + 1/1428*y**8 + 0*y + 1/255*y**6. Factor s(g).
2*g**2*(g - 1)**2*(2*g - 1)/17
Let i(b) be the third derivative of -b**6/40 - 17*b**5/20 - 91*b**4/8 - 147*b**3/2 - 121*b**2. Find o, given that i(o) = 0.
-7, -3
Find x such that -32/11*x**2 + 0*x + 0 - 34/11*x**3 + 4/11*x**5 + 62/11*x**4 = 0.
-16, -1/2, 0, 1
Let o(q) be the second derivative of 2*q**6/105 - 2*q**5/35 - 20*q**4/21 - 16*q**3/7 - 287*q. Determine d, given that o(d) = 0.
-2, 0, 6
Find q, given that 6*q**2 - 1 + 41 - 24*q - 72*q - 16*q**2 = 0.
-10, 2/5
Let i(f) be the first derivative of 3*f**6/5 - 42*f**5/5 + 157*f**4/10 - 142*f**3/15 + 2*f**2 - 686. Let i(v) = 0. Calculate v.
0, 1/3, 1, 10
Let i be 192/112 - (-4)/14. Let y be ((-208)/(-42) - 4) + i/(-7). Let -2/3 - y*u**2 - 4/3*u = 0. Calculate u.
-1
Let b(u) = -9*u**3 - 41*u**2 + 73*u - 49. Let x(h) = 4*h**3 + 20*h**2 - 36*h + 24. Let w(d) = -6*b(d) - 13*x(d). Factor w(t).
2*(t - 3)**2*(t - 1)
Suppose 5*t - 7 = -3*x + 15, 3*t = x + 2. Let k be (-4)/t*(1 + (-2)/1). Factor -6/7*r - 2/7*r**k - 4/7.
-2*(r + 1)*(r + 2)/7
Suppose 0 = s - 44*d + 43*d + 3, -3*d + 9 = 0. Let 2/13*f**4 + 0 - 2/13*f**3 + s*f - 4/13*f**2 = 0. What is f?
-1, 0, 2
Suppose 4*b = 10 + 2. Let n(a) = a**2 + 10*a + 2. Let y be n(-10). Factor s**y + 3/5 + 7/5*s + 1/5*s**b.
(s + 1)**2*(s + 3)/5
Let x(k) = k**2 + 8*k + 1. Let w be x(-8). Let y be (-15)/(-10) + w + (-7)/6. Determine v, given that 4/3 + 1/3*v**2 - y*v = 0.
2
Let c(o) be the first derivative of -2*o**3 - 32*o**2 + 22*o + 255. Suppose c(v) = 0. What is v?
-11, 1/3
Let g(r) = -r**4 - r**3 - r**2 - r. Let o(x) = -9*x**4 + 15*x**3 - 30*x**2 - 54*x. Let t(v) = -6*g(v) + o(v). Factor t(a).
-3*a*(a - 4)**2*(a + 1)
Suppose 9 = 6*l - 9. Let r(i) be the second derivative of -2/3*i**2 - 1/15*i**5 + 10*i + 2/9*i**l + 1/9*i**4 + 0. Solve r(h) = 0 for h.
-1, 1
Let p = -3377 - -27017/8. Determine d, given that -1/2 - 5/8*d - p*d**2 = 0.
-4, -1
Let g(z) be the second derivative of -5*z**8/84 - 2*z**7/35 + z**6/15 - 6*z**2 - 2*z. Let l(i) be the first derivative of g(i). Factor l(p).
-4*p**3*(p + 1)*(5*p - 2)
Factor 10*b**2 - 4*b**2 + 3*b**2 + 3*b**2 + 3*b**3.
3*b**2*(b + 4)
Let j(z) be the third derivative of z**6/480 + 3*z**5/80 + z**4/12 + 174*z**2. Factor j(v).
v*(v + 1)*(v + 8)/4
Let b(j) be the first derivative of -1/36*j**4 + 1/9*j**3 - 10*j + 8 - 1/6*j**2. Let c(z) be the first derivative of b(z). Factor c(w).
-(w - 1)**2/3
Factor -4*y - 19*y**2 - 5*y + 12*y**2 - 264 + 7*y**2 + 3*y**2.
3*(y - 11)*(y + 8)
Let f = -1659 + 1662. Let i(c) be the second derivative of 7/45*c**f + 7*c + 0 - 2/15*c**2 + 2/45*c**4. Factor i(d).
2*(d + 2)*(4*d - 1)/15
Let u(l) = -88*l**3 + 129*l**2 - 55*l + 10. Let o(n) = -87*n**3 + 129*n**2 - 54*n + 9. Let a(j) = -4*o(j) + 3*u(j). Factor a(m).
3*(m - 1)*(4*m - 1)*(7*m - 2)
Let q(s) = -10*s - 39. Let u be q(-6). Suppose -u = 27*l - 34*l. Find t, given that 42/5*t**2 + 21/5*t**5 - 48/5*t**4 + 12/5*t**l + 6/5 - 33/5*t = 0.
-1, 2/7, 1
Let d be (56/(-15))/(-1) - 3. Let n = d - -29/15. Solve -10/3*b**2 + 2/3*b**3 + 16/3*b - n = 0 for b.
1, 2
Let p(b) = -b**2 - 3*b - 3. Let w(v) = -2*v**2 - 10*v - 10. Suppose 0 = -2*o - 3*o + 25, 2*o - 30 = 2*a. Let k(j) = a*p(j) + 3*w(j). Factor k(x).
4*x**2
Let h = 18947/3 + -6314. Find c such that -15*c**2 + 5/3*c**4 - 20/3 + 55/3*c + h*c**3 = 0.
-4, 1
Factor 26*h**3 - 9*h**2 + 5*h**4 - 4*h**4 - 29*h**3 + 31*h - 4*h.
h*(h - 3)**2*(h + 3)
Let c(t) be the first derivative of 25/2*t + 1/6*t**3 + 4 + 5/2*t**2. Let c(p) = 0. Calculate p.
-5
Let j**2 - 2*j**5 + 6*j**4 - 6*j**2 + 38 + 4*j**3 - 32 - j - 7*j**2 - j = 0. What is j?
-1, 1, 3
Let m = -272/3 + 92. Suppose 0 - 4/9*c**3 - 8/9*c - m*c**2 = 0. Calculate c.
-2, -1, 0
Suppose 11*i + 100 - 122 = 0. Let q(r) be the first derivative of 0*r - 25/7*r**4 - 16/7*r**3 - 36/35*r**5 + 8/7*r**i - 9. Let q(x) = 0. What is x?
-2, -1, 0, 2/9
Let j(f) be the first derivative of 0*f**3 + 0*f**2 + 10 + 1/16*f**4 + 0*f. Solve j(d) = 0.
0
Suppose -2*c + 597 = 3*x, c = 3*c - x - 593. Let b be (-342)/c - (-4)/3. Suppose b*h**2 + 4/11 - 6/11*h = 0. What is h?
1, 2
Suppose 55*z = 57*z - 28. Suppose 7*t = -0*t + z. Solve -4/5 - 2/5*j**t + 6/5*j = 0.
1, 2
Let y(d) = 2*d**3 - 5*d. Let s(i) = 4*i**3 + 2*i**3 - 24*i + 3*i**3. Let k(b) = 5*s(b) - 24*y(b). Solve k(n) = 0 for n.
0
Let k(l) be the first derivative of -l**4/6 + 2*l**3/3 + 22*l**2/3 - 16*l - 234. What is d in k(d) = 0?
-4, 1, 6
Let t(j) = -j**3 + j**2 + 5*j - 3. Let b be t(2). Factor -30*g**2 + 224*g**3 - 111*g**b - 108*g**3 + 25*g.
5*g*(g - 5)*(g - 1