e i.
-1, 0, 8/9
Let q(u) = -u**2 + u - 1. Let c(d) = -10*d**3 - 148*d**2 + 22*d + 10. Let l(p) = 2*c(p) + 20*q(p). Let l(z) = 0. Calculate z.
-16, 0, 1/5
Let v(z) be the second derivative of z**6/135 + 13*z**5/90 - z**4/18 - 41*z**3/27 - 26*z**2/9 - 283*z - 2. Suppose v(i) = 0. What is i?
-13, -1, 2
Let d(h) be the first derivative of -9*h**6/10 - 9*h**5/5 + 3*h**4/10 + 14*h**3/5 + 21*h**2/10 + 3*h/5 - 56. Solve d(l) = 0 for l.
-1, -1/3, 1
Factor 217*q**3 + 34*q**2 + 225*q**3 + 512 + 218*q**3 + 320*q - 659*q**3.
(q + 2)*(q + 16)**2
Let y(u) be the second derivative of -9/110*u**5 + 0 + 1/33*u**4 - 9*u + 0*u**2 + 0*u**3 + 7/165*u**6. Factor y(f).
2*f**2*(f - 1)*(7*f - 2)/11
Let l be -2 + (-2 - -5) - (5 + -6). Let t = -1101/5 - -221. Factor 12/5*i**l + 4/5*i**4 + 12/5*i**3 + 0 + t*i.
4*i*(i + 1)**3/5
Suppose 2*i - 2*c + 30 = -0*c, -4*i - 3*c = 60. Let o = i + 17. What is f in 9*f**o + f**3 + 3 + 0 + 2*f**3 + 9*f = 0?
-1
Let u(o) be the first derivative of o**5/25 - 7*o**4/20 - o**3/5 + 19*o**2/10 + 14*o/5 - 591. Determine f, given that u(f) = 0.
-1, 2, 7
Let g(h) be the second derivative of 0 + 3/2*h**2 + 0*h**3 + 1/6*h**5 - h - 1/6*h**4. Let f(t) be the first derivative of g(t). Factor f(k).
2*k*(5*k - 2)
Let r(m) be the first derivative of 1/33*m**6 + 4/33*m**3 + 16 - 4/55*m**5 - 1/22*m**4 + 0*m**2 + 0*m. Solve r(l) = 0.
-1, 0, 1, 2
Let p(f) be the third derivative of -f**5/8 - 7*f**4/16 - f**3/2 + 33*f**2. Let p(g) = 0. What is g?
-1, -2/5
Suppose 92 + 8 = 50*m. Let y(f) be the second derivative of 4/3*f**3 + 0 - 1/3*f**4 + 6*f**2 + m*f. Factor y(v).
-4*(v - 3)*(v + 1)
Let b(u) be the first derivative of u**4/18 + 8*u**3/27 - u**2/9 - 8*u/9 + 48. Let b(c) = 0. Calculate c.
-4, -1, 1
Let b(m) be the second derivative of -1/2*m**2 - 1/90*m**5 - 1/378*m**7 - 1/54*m**6 + 0 + 7/54*m**4 + 1/18*m**3 + m. Find o such that b(o) = 0.
-3, -1, 1
Let k(c) be the second derivative of c**6/540 + c**5/270 - 13*c**2/2 + 9*c. Let z(l) be the first derivative of k(l). Factor z(t).
2*t**2*(t + 1)/9
Suppose 7*r - 6*r - 4 = 0. Let 12*f**2 + r*f - 8 - 58*f**2 + 36*f + 14*f**3 = 0. Calculate f.
2/7, 1, 2
Let c be 7*1/(-9) + 1. Let t = -958 + 8624/9. Determine o so that 8/9*o**2 + c*o**3 + 0 - t*o - 8/9*o**4 = 0.
-1, 0, 1/4, 1
Factor -38*g - 58*g - 22*g**3 + 15*g + 6*g - 2*g**4 - 48 - 76*g**2 - 29*g.
-2*(g + 1)*(g + 2)**2*(g + 6)
Let h(i) be the second derivative of -14*i + 1/10*i**5 + 1/3*i**4 - 6*i**2 - 5/3*i**3 + 0. Factor h(o).
2*(o - 2)*(o + 1)*(o + 3)
Let c(o) = o**2 + 9*o - 5. Suppose -9*y = -3*y + 30. Let l(g) = g**2 + 10*g - 6. Let f(p) = y*l(p) + 6*c(p). Determine q, given that f(q) = 0.
-4, 0
Let j(v) be the first derivative of 33*v**4/28 - 24*v**3/7 + 6*v**2/7 - 199. Factor j(a).
3*a*(a - 2)*(11*a - 2)/7
Factor 34*l - 26*l**2 + 50*l - 165*l**3 + 5*l**4 - 340 + 8*l**2 + 364 + 70*l**4.
3*(l - 2)*(l - 1)*(5*l + 2)**2
Let c = 211/72 - -125747/504. Let k = c - 252. Find r such that 0*r - 6/7*r**3 - 3/7*r**2 + 0 - k*r**4 = 0.
-1, 0
Let h(v) = 13*v**2 - 3*v + 2. Let m be h(1). Let a be (5/(-10))/((-1)/m). Factor a - 25*t**2 - 13*t + 4*t - 17*t**2.
-3*(2*t + 1)*(7*t - 2)
Let b be 98/20 + (-90)/60 + -3. Determine t so that -2/5 + 2/5*t**3 + 2/5*t**2 - b*t = 0.
-1, 1
Let w = -89 + 83. Let k be (-2 - 1)*2/w - -1. Determine o so that -4/7*o**k + 12/7*o - 12/7*o**3 + 8/7 - 4/7*o**4 = 0.
-2, -1, 1
Let i = 629 + -3144/5. Factor 1/5*t**3 - i*t**4 + 3/5*t**2 + 2/5 - t.
-(t - 1)**3*(t + 2)/5
Suppose -3*s - 4*s + 77 = 0. Suppose -15*i + 12 = -s*i. Let -3 - 6*v**2 + i + 3*v + 0 = 0. Calculate v.
0, 1/2
Let z = -450 + 454. Let l(p) be the first derivative of 0*p - 1/2*p**z - 2*p**2 + 2*p**3 + 2. Let l(r) = 0. Calculate r.
0, 1, 2
Suppose -298*l = -299*l + 7. Suppose 0 = s - 5, l*h - s = 8*h - 9. Find w, given that -4/5*w**2 + 2/5 + 2/5*w**h + 4/5*w**3 - 2/5*w**5 - 2/5*w = 0.
-1, 1
Let d(x) be the first derivative of -x**2/2 + 22*x - 12. Let o be d(22). Factor 1/3*a + o + 1/3*a**2.
a*(a + 1)/3
Let b be (-1)/(2 + (-63)/35). Let w be 20/(-12) - (2 + b). Suppose 4/3*f**2 - w*f**4 - 4/3*f + 0 + 4/3*f**3 = 0. Calculate f.
-1, 0, 1
Let z(w) be the second derivative of -1/2*w**2 + 1/20*w**6 + 5*w - 7/40*w**5 + 0 + 1/4*w**3 + 1/8*w**4. Factor z(t).
(t - 1)**3*(3*t + 2)/2
Solve 6/7*n**3 - 3/7*n**5 - 102/7*n**2 + 51/7*n**4 + 51/7 - 3/7*n = 0 for n.
-1, 1, 17
Let s(t) = t**2 + 7*t - 4. Let d be s(-8). Let y be (-6)/(-2) - (-3 + d). Factor 4*q + 12*q**y + 4*q**2 + 2*q**4 - 22*q**2.
2*q*(q - 1)**2*(q + 2)
Let w(g) be the third derivative of 2*g**5/15 + 11*g**4/6 - 13*g**3/3 + 15*g**2. Let v(y) = -y**2 - 5*y + 3. Let p(k) = -52*v(k) - 6*w(k). Solve p(o) = 0 for o.
0, 1
Let s(d) be the second derivative of d**6/70 + 3*d**5/35 - d**4/14 - 6*d**3/7 + 27*d**2/14 + 35*d. Factor s(q).
3*(q - 1)**2*(q + 3)**2/7
Let t = 1 + 2. Suppose 3*k = 2*b + 6, -2*b - 7 = -t*b - k. Factor -24*m**2 - 14*m**b + 0*m + 4*m + m + 3*m.
-2*m*(m + 2)*(7*m - 2)
Let m = -6019/20 + 301. Let t(y) be the third derivative of -3*y**2 - 1/8*y**4 + 0 + 0*y + m*y**5 + 0*y**3. Let t(d) = 0. Calculate d.
0, 1
Let b(m) be the first derivative of m**5/150 - 5*m**2 + 3. Let t(x) be the second derivative of b(x). Factor t(z).
2*z**2/5
Let s be (320 - 322) + (-7)/(-1). Factor 5/3*m**2 + s + 5/3*m**3 - 25/3*m.
5*(m - 1)**2*(m + 3)/3
Let a(q) be the third derivative of -q**6/840 + 9*q**4/14 - 72*q**3/7 - q**2 - 288. Let a(x) = 0. What is x?
-12, 6
Factor 0*d**2 + 88/7*d**3 + 0*d + 2/7*d**5 + 30/7*d**4 + 0.
2*d**3*(d + 4)*(d + 11)/7
Suppose 7*b - 29 - 48 = 0. Suppose -b*c = -7*c - 336. Factor 324*s**4 + 8*s + 0*s + 77*s**5 + c*s**2 + 4*s**5 + 270*s**3 + s.
3*s*(s + 3)*(3*s + 1)**3
Let w = 141 + -137. Factor -6*z**4 + 6*z**4 + 3*z**3 - 6*z**w - 9*z**4.
-3*z**3*(5*z - 1)
Let c(u) be the first derivative of -4*u**5/5 + 21*u**4 + 60*u**3 + 46*u**2 + 389. Factor c(s).
-4*s*(s - 23)*(s + 1)**2
Suppose 0 = 24*q - 29*q. Let h be (6/(-9))/((-1)/2). Factor q + h*m**2 + 2/3*m**3 + 2/3*m.
2*m*(m + 1)**2/3
Let t = -72393/2 + 36203. Factor t*p + 169/4 + 1/4*p**2.
(p + 13)**2/4
Let s(q) be the second derivative of q**5/20 - 2*q**4/3 + 11*q**3/6 - 14*q**2 + q - 1. Let t be s(7). Factor t - 2/5*x**2 + 2/5*x.
-2*x*(x - 1)/5
Let b(u) be the second derivative of 1/30*u**4 + 1/300*u**6 - 1/50*u**5 + 0 - u + 0*u**3 - u**2. Let z(f) be the first derivative of b(f). Factor z(h).
2*h*(h - 2)*(h - 1)/5
Let y(j) be the first derivative of -4/3*j**3 + 1/6*j**4 + 9 + 3*j**2 - 6*j. Let w(q) be the first derivative of y(q). Suppose w(f) = 0. What is f?
1, 3
Let y(j) = -j**2 + 2*j + 2. Let c be y(2). Let p = 4 - 1. Determine n so that 0*n**3 + 3 - n**p - 1 + n - 2*n**c = 0.
-2, -1, 1
Let d(p) be the second derivative of p**4/90 - 4*p**3/15 + 115*p. Factor d(q).
2*q*(q - 12)/15
Let r(l) be the second derivative of -l**4/102 + l**3/17 + 4*l**2/17 - l. Let r(a) = 0. Calculate a.
-1, 4
Solve 4/7*l + 4/7*l**4 - 12/7*l**2 - 4/7*l**3 + 8/7 = 0.
-1, 1, 2
Suppose 1 = -27*q + 1. Let x(b) be the first derivative of 4 + 1/3*b**6 + 21/10*b**4 + 2/5*b**2 + 22/15*b**3 + 34/25*b**5 + q*b. Factor x(z).
2*z*(z + 1)**3*(5*z + 2)/5
Determine w so that 62/3*w**2 - 13/3*w**4 - 1/3*w**5 - 34/3*w**3 - 49/3 + 35/3*w = 0.
-7, -1, 1
Let t(g) be the third derivative of -g**7/420 - g**6/20 + 3*g**5/8 - 722*g**2. Determine z, given that t(z) = 0.
-15, 0, 3
Let k(r) be the second derivative of r**5/20 - 8*r**3/3 - 9*r - 22. Find v, given that k(v) = 0.
-4, 0, 4
Suppose -q + 11 = -5*v + 32, -2*v - 2*q = 6. Determine g so that 0*g**2 + 0*g + 1/2*g**4 - 1/3*g**v + 0 - 1/6*g**5 = 0.
0, 1, 2
Let j = 2078 - 382. Solve 4*a + 0*a + 1697*a**4 + 2*a**3 - 7*a**2 - j*a**4 = 0.
-4, 0, 1
Let o(m) be the third derivative of 0*m + 0*m**3 + 7*m**2 + 0 + 0*m**4 + 1/15*m**6 + 2/105*m**7 + 0*m**5. Determine c, given that o(c) = 0.
-2, 0
Let k(s) be the first derivative of -s**4/18 - 28*s**3/27 - 11*s**2/9 + 52*s/9 + 66. Find x, given that k(x) = 0.
-13, -2, 1
Let s(d) be the third derivative of -1/60*d**5 - 1/48*d**4 + 0*d**3 + 0*d - 8*d**2 - 1/192*d**6 - 1/1680*d**7 + 0. Factor s(i).
-i*(i + 1)*(i + 2)**2/8
Let j(p) = p**3 - 3*p**2 - 14*p + 56. Let o be j(-4). Solve 1/4*a**3 + o*a**2 + 0*a + 3/4*a**4 + 0 = 0 for a.
-1/3, 0
Let f(u) be the second derivative of u**5/4 - 5*u**4/6 - 65*u**3/6 - 25*u**2 - 89*u. Solve 