2 + 0*v + 4/7*v**3.
v**2*(v + 2)**2/7
Let l(w) = w**3 + 17*w**2 + 15*w + 10. Let k be l(-16). Solve -9*u - 3*u**3 - 14*u + k*u = 0 for u.
-1, 0, 1
Let i(b) be the third derivative of -b**6/360 - 4*b**3/3 - 8*b**2. Let j(h) be the first derivative of i(h). What is o in j(o) = 0?
0
Let s(n) be the second derivative of -n**5/4 - 5*n**4/3 - 5*n**3/2 - 11*n + 2. Determine a, given that s(a) = 0.
-3, -1, 0
Let r = -1561 - -1564. Let 3/7*a**r - 3/7*a + 3/7*a**2 - 3/7 = 0. Calculate a.
-1, 1
Let d(k) = k**2 - 10*k - 7. Let t(i) = 2*i + 2. Let j be t(-4). Let r be d(j). Let 2*m**3 - m**2 - r + 89 = 0. Calculate m.
0, 1/2
Let h be -4 - 0 - ((-12)/4 - 31). Let o be 10/h*(-2)/(-2). Factor -1/3*l**2 - o*l**4 - l**3 + l + 2/3.
-(l - 1)*(l + 1)**2*(l + 2)/3
Let q(c) = 2*c + 1. Let u(s) = -2*s**2 + 54*s - 733. Let o(t) = 22*q(t) + 2*u(t). Factor o(k).
-4*(k - 19)**2
Determine r so that 67*r**3 - 140 - 6*r**4 + 153*r**3 + 468*r**2 - 92 - 6*r**4 + 112*r**3 - 108*r = 0.
-1, 2/3, 29
Let n be -2 + (214/56 + -1 - 42/168). Factor 0 + n*i**5 - 20/7*i**4 + 16/7*i**2 - 32/7*i + 24/7*i**3.
4*i*(i - 2)**3*(i + 1)/7
Let i(k) be the second derivative of 169*k**6/90 + 39*k**5/2 + 1817*k**4/36 + 166*k**3/3 + 30*k**2 - 950*k. Suppose i(z) = 0. Calculate z.
-5, -1, -6/13
Let r(t) be the second derivative of -t**5/12 + 5*t**4/8 - 2*t**2 - 9*t. Let v(w) be the first derivative of r(w). Find j, given that v(j) = 0.
0, 3
Let q(n) = 2*n**3 + 14*n**2 + 4*n - 26. Let t(w) = 4*w**3 + 29*w**2 + 7*w - 51. Let j(r) = -11*q(r) + 6*t(r). Suppose j(f) = 0. Calculate f.
-10, -1, 1
Let l(x) be the first derivative of x**4/20 + x**3/15 - 26. Factor l(g).
g**2*(g + 1)/5
Let k(n) be the third derivative of n**7/168 - n**6/24 + n**5/8 - 5*n**4/24 + 4*n**3/3 + 18*n**2. Let p(q) be the first derivative of k(q). Factor p(j).
5*(j - 1)**3
Let x = -259 + 259. Let n(b) be the third derivative of 0*b**3 + 1/240*b**5 + 0*b - 1/840*b**7 - 1/1344*b**8 + 0 + 1/480*b**6 - b**2 + x*b**4. Factor n(q).
-q**2*(q - 1)*(q + 1)**2/4
What is j in -19*j - 5*j**2 - 36 - 3*j**3 - 3*j - 26*j - 16*j**2 = 0?
-3, -2
Let -2/3*y**3 - 4 - 35/3*y**2 + 5/3*y**4 + 44/3*y = 0. Calculate y.
-3, 2/5, 1, 2
Find c such that 7*c**2 + 23/4*c**3 + 1/4*c**5 + 3*c + 0 + 2*c**4 = 0.
-3, -2, -1, 0
Let u(j) = 2*j - 8. Let x be u(8). Suppose -4*n = 4*z - 4, -3*z - 4*n - 50 = -8*z. Factor -4*g**3 + 15*g**3 - z*g**2 + 3*g - x*g**3.
3*g*(g - 1)**2
Let r = -17202 - -120418/7. Let 3/7*p**2 - 1/7 + 2/7*p - r*p**4 - 4/7*p**3 = 0. What is p?
-1, 1/2
Let a(j) be the second derivative of -j**8/42 - 19*j**7/210 - 4*j**6/45 + j**5/30 + 19*j**3/3 - 26*j. Let r(v) be the second derivative of a(v). Factor r(d).
-4*d*(d + 1)**2*(10*d - 1)
Let u be ((-18)/4 - -4)*-14. Find p, given that 22*p - 21*p**2 - 1 - 3 + u*p**2 - 4*p**2 = 0.
2/9, 1
Let o(q) = -3*q**4 - 3*q**3 - 3*q**2 + 3*q. Let v(i) = 5*i**3 + 3 + 7*i**2 + 5*i**4 - 5*i + 5 - 9. Let g(c) = -11*o(c) - 6*v(c). Factor g(b).
3*(b - 1)**2*(b + 1)*(b + 2)
Let u(k) be the first derivative of k**3/18 + 6*k**2 + 71*k/6 - 310. Factor u(i).
(i + 1)*(i + 71)/6
Suppose -2*j + 1 = d - 8, 2*d - 5*j = 0. Let 174*i**3 - 189*i**3 - 2*i + 5*i**4 + 12*i - d*i**2 + 5*i**5 = 0. What is i?
-2, -1, 0, 1
Determine o, given that -6*o**4 - 28*o**3 - o**4 - 98*o**2 - 32*o + 3*o**4 + 42*o**2 = 0.
-4, -2, -1, 0
Let v(w) = 5*w**4 + 85*w**3 + 223*w**2 + 215*w + 70. Let c(y) = -85*y**4 - 1445*y**3 - 3790*y**2 - 3655*y - 1190. Let p(s) = 2*c(s) + 35*v(s). Solve p(g) = 0.
-14, -1
Suppose -17/5*c + 8/5*c**2 - 1/5*c**3 + 2 = 0. What is c?
1, 2, 5
Let t(h) be the third derivative of h**8/2016 - h**7/126 + 29*h**6/720 - h**5/45 - h**4/3 - 80*h**2. Factor t(z).
z*(z - 4)**2*(z - 3)*(z + 1)/6
Let t(c) = c**4 + 2*c**3 - 1. Let y(m) = -5*m**4 - 3*m**3 - 25*m + 15. Let x(n) = -36*t(n) - 4*y(n). Find q such that x(q) = 0.
-3, -2, 1/4, 1
Let d(m) be the third derivative of -7*m**5/60 + 29*m**4/12 - 8*m**3/3 - 8*m**2 - 4. Let d(c) = 0. What is c?
2/7, 8
Let n = 13456/9 + -67262/45. What is j in -2/5*j**2 + 0*j + 0 - n*j**3 = 0?
-1, 0
Factor -8*a - 50*a - 8*a**2 - 841 + 11*a**2 - 4*a**2.
-(a + 29)**2
Let z(h) be the first derivative of -4*h**3/15 - 2*h**2 - 154. Suppose z(c) = 0. Calculate c.
-5, 0
Let p(u) = -13*u + 150. Let x be p(11). Let h(y) be the first derivative of 1/10*y**4 + 0*y - 2/15*y**3 - x - 2/5*y**2. Factor h(z).
2*z*(z - 2)*(z + 1)/5
Let b(w) be the second derivative of -w**6/660 - 9*w**2/2 + 10*w. Let j(n) be the first derivative of b(n). Find m such that j(m) = 0.
0
Let q(d) be the first derivative of -d**4/6 - 2*d**3/3 + 2*d**2 + 16*d/3 + 72. Factor q(f).
-2*(f - 2)*(f + 1)*(f + 4)/3
Let n(c) be the third derivative of -c**5/4 - 35*c**4/12 + 25*c**3/6 - 17*c**2. Factor n(y).
-5*(y + 5)*(3*y - 1)
Let u(h) = 9*h**3 + 285*h**2 - 1431*h. Let z(y) = -2*y**3 - 71*y**2 + 358*y. Suppose 90*q = 93*q + 15. Let d(c) = q*u(c) - 21*z(c). Factor d(p).
-3*p*(p - 11)**2
Let s(h) be the third derivative of -h**6/120 - 7*h**5/60 - 5*h**4/24 + 4*h**3/3 + 3*h**2. Let y be s(-6). Factor -2*k**2 - 2*k**3 - 4*k**y + 23*k**3 + 12*k**4.
3*k**2*(k + 2)*(4*k - 1)
Let l be -1*((-144)/28)/(-6)*14/(-4). Factor -9/2 + 0*y**l + 12*y - 9*y**2 + 3/2*y**4.
3*(y - 1)**3*(y + 3)/2
Let s = -22363 + 156557/7. Solve -8*x + 44/7*x**4 + 10/7*x**5 - s + 46/7*x**3 - 4*x**2 = 0 for x.
-2, -1, -2/5, 1
Let k(z) be the first derivative of -14 + 1/2*z**2 + 0*z - 1/25*z**5 - 1/4*z**4 + 1/15*z**3. Let k(m) = 0. Calculate m.
-5, -1, 0, 1
Let q(l) be the second derivative of l**4/48 - l**3/24 - 3*l**2/4 - 71*l. Factor q(a).
(a - 3)*(a + 2)/4
Let v be (6/10)/((-2)/(-10)). Solve -5*l**4 + 6*l**5 + 8*l**2 - v*l**4 - 8*l - 2*l**5 + 4*l = 0 for l.
-1, 0, 1
Let f(z) = z**2 + 4*z - 1. Let d be f(-3). Let l(p) = 15*p**2 - 8*p. Let j(s) = 8*s**2 - 4*s. Let k(u) = d*l(u) + 7*j(u). Solve k(x) = 0 for x.
0, 1
Let x = 181964/11 + -16542. Factor -2/11*y**2 + 2/11 - 2/11*y + x*y**3.
2*(y - 1)**2*(y + 1)/11
Let v(a) = -a**3 - 10*a**2 - 24*a + 7. Let r be v(-5). Let -64*n**r - 32/3*n**3 - 512/3 - 512/3*n - 2/3*n**4 = 0. What is n?
-4
Suppose 2*z + 94*z**2 + 4 - 4*z**4 - 43*z**3 + 29*z**3 - 106*z**2 = 0. What is z?
-2, -1, 1/2
Solve -22/5*a + 2/5*a**2 + 56/5 = 0 for a.
4, 7
Suppose -7*f = -13*f + 18. Let y(s) be the third derivative of 2*s**2 + 1/36*s**4 + 2/9*s**f - 1/180*s**6 + 0*s + 0 - 1/30*s**5 + 1/315*s**7. Factor y(u).
2*(u - 2)*(u - 1)*(u + 1)**2/3
Let r(s) be the second derivative of -s**6/30 + 3*s**5/20 - s**4/6 - 18*s - 3. Solve r(x) = 0.
0, 1, 2
Let a(o) be the second derivative of -o**6/10 + 3*o**5/20 + 13*o**4/4 - 25*o**3/2 + 18*o**2 + 13*o - 3. Factor a(y).
-3*(y - 3)*(y - 1)**2*(y + 4)
Let y(x) be the third derivative of -x**5/30 - 5*x**4/12 - 2*x**3 - 129*x**2. Factor y(n).
-2*(n + 2)*(n + 3)
Suppose -5*j + 0*j = -35. Let y(w) be the first derivative of -j*w - 3 - 4*w - 16*w - w**3 - 9*w**2. Factor y(f).
-3*(f + 3)**2
Suppose -5*x = 7*x - 60. Let c(u) be the second derivative of 1/2*u**3 + 0 - 3/20*u**x + 2*u + 0*u**2 + 1/4*u**4 - 1/10*u**6. Suppose c(k) = 0. Calculate k.
-1, 0, 1
Let h(j) be the second derivative of -j**7/1120 + j**6/80 - 9*j**5/160 + j**4/8 - 3*j**3/2 + 23*j. Let n(a) be the second derivative of h(a). Factor n(y).
-3*(y - 4)*(y - 1)**2/4
Determine l so that -3*l**2 - 153 - 2*l**2 + 3*l**2 + l**2 + 7*l**2 - 93*l = 0.
-3/2, 17
Factor z**4 - 439*z**3 + 869*z**3 - 429*z**3.
z**3*(z + 1)
Let m(z) = -z**2 + 1. Let x(s) = -4 + 3*s**2 - s + 2*s**2 + 5 - 5. Suppose 3*l - 2 = 2*l + 5*w, 0 = 4*l - 2*w + 64. Let j(h) = l*m(h) - 4*x(h). Factor j(a).
-2*(a - 1)**2
Let w(d) be the third derivative of d**5/12 + 35*d**4/24 + 5*d**3 - 81*d**2. Factor w(y).
5*(y + 1)*(y + 6)
Let q be (-32)/12*3/(-4). Let v be 16/33 - 150/(-825). Let v*s**q + 0 + 2/3*s = 0. Calculate s.
-1, 0
Determine h so that -702/5*h - 204/5 + 42/5*h**2 = 0.
-2/7, 17
Let l(j) = j**3 + j**2 + j. Let w(r) = -11*r + 1 - 12*r - r**4 + 32*r - 2*r**2 - 13*r. Let g(d) = -2*l(d) - w(d). What is i in g(i) = 0?
-1, 1
Let z(v) be the second derivative of -v**5/80 + v**3/24 + 43*v. Factor z(c).
-c*(c - 1)*(c + 1)/4
Let x(z) be the first derivative of z**3/6 - 3*z**2 + 18*z + 8. Factor x(r).
(r - 6)**2/2
Let x(c) be the first derivative of 2*c**6/15 + 2*c**5/5 + 28*c - 3. Let w(i) be the first derivative of x(i). What is