+ 0*c**3 + 1/48*c**4 - 1/360*c**5 - 5*c**2. Solve r(g) = 0.
0, 3
Solve -1/3*q**4 - 1/6*q + 1/6*q**5 + 0 + 1/3*q**2 + 0*q**3 = 0 for q.
-1, 0, 1
Let j(i) = -15*i**2 + 381*i + 459. Let u(p) = -7*p**2 + 191*p + 226. Let q(l) = 4*j(l) - 9*u(l). Suppose q(h) = 0. What is h?
-1, 66
Let w(g) be the third derivative of -g**8/50400 - 2*g**7/4725 - 2*g**6/675 - g**4/8 + 14*g**2. Let k(o) be the second derivative of w(o). What is u in k(u) = 0?
-4, 0
Let r be 288/(-84)*(-4 - (-30)/8). Let n(j) be the first derivative of -5 + 2/21*j**3 - r*j**2 + 18/7*j. What is y in n(y) = 0?
3
Let f(k) be the first derivative of -10*k**6/3 + 4*k**5/5 + 11*k**4 - 4*k**3/3 - 12*k**2 - 474. What is n in f(n) = 0?
-1, 0, 1, 6/5
Let k(p) be the second derivative of -2/21*p**7 - 2/5*p**5 + 0*p**4 + 0*p**2 + 6*p + 0 + 0*p**3 + 2/5*p**6. What is m in k(m) = 0?
0, 1, 2
Let l(h) = -h**2 - 7*h - 3. Let j be l(-6). Suppose 4*w - j = 1. Suppose -d**2 + 0*d**2 + 0*d**2 + w = 0. What is d?
-1, 1
Let k(s) = 4*s**3 - s**2 + s. Let r(n) = 105*n**3 - 15*n**2 - 50*n - 180. Let y(t) = -25*k(t) + r(t). Let y(d) = 0. Calculate d.
-3, 4
Suppose 41 = 8*o - 55. Find g such that 2 + 1943*g - 1928*g - 5*g**3 - o = 0.
-2, 1
Factor 10*p**3 - 9*p**2 - 11*p**3 + 15*p - 7 + 2*p**3.
(p - 7)*(p - 1)**2
Suppose -78 = 82*a - 108*a. Let k(d) be the first derivative of -3/14*d**4 + 0*d - 1/7*d**2 + 2/35*d**5 + 2/7*d**a + 5. Factor k(y).
2*y*(y - 1)**3/7
Let a = 5/49 + 137/98. Suppose 3/2*q**3 - a*q + 3/4*q**2 + 0 - 3/4*q**4 = 0. Calculate q.
-1, 0, 1, 2
Let y = -141 + 144. Let g = -11/4 + y. Factor t**2 + 1/4*t**5 + t**4 + 0 + g*t + 3/2*t**3.
t*(t + 1)**4/4
Let p be -4 + 9 + (0 - 2). Find h, given that h**2 - p*h**2 - 6*h**4 - 5*h**3 + 0*h**2 - 2*h**5 - h**3 = 0.
-1, 0
Let a = 15 - 10. Suppose -a*x + 3*h + 11 = -4*x, 4*h + 20 = 4*x. Factor z**4 + 8/5*z**3 - 2/5*z + 0 + 1/5*z**x.
z*(z + 1)**2*(5*z - 2)/5
Let k(z) be the third derivative of -z**7/42 - z**6/3 - 5*z**5/4 + 6*z**2. Factor k(w).
-5*w**2*(w + 3)*(w + 5)
Let b(g) = -5*g**2 + 3*g - 2. Let m be b(2). Let a = -12 - m. Factor -2*j**3 - 5*j**4 + 5*j**a + 2*j - 1 + j**4.
(j - 1)**3*(j + 1)
Let m(h) be the first derivative of 2*h**3/39 - 50*h**2/13 + 1250*h/13 - 41. Factor m(b).
2*(b - 25)**2/13
Find q such that 2 + 55*q**2 + 5 - 3 + 128*q + 12 + 101*q**2 = 0.
-2/3, -2/13
Let a = -787 - -790. Let w(y) be the third derivative of -1/420*y**5 + 0*y + 5*y**2 + 1/42*y**a + 0 + 0*y**4. Determine x, given that w(x) = 0.
-1, 1
Let v be 966/27 + (-6)/(-27). Let y be 1 - ((-9)/v)/(2/(-6)). Solve -1/4 + y*x**2 + 0*x = 0 for x.
-1, 1
Let f(h) be the second derivative of h**6/40 - 3*h**5/20 + 3*h**4/8 - h**3/2 - 7*h**2/2 + 5*h. Let c(d) be the first derivative of f(d). Solve c(k) = 0.
1
Let n be ((-4)/10)/((-9)/(-30))*-123. Let p = -1146/7 + n. Suppose 0 + 2/7*h + p*h**5 - 8/7*h**2 + 12/7*h**3 - 8/7*h**4 = 0. Calculate h.
0, 1
Let z(i) be the second derivative of i**6/180 - 199*i**5/60 + 1463*i**4/2 - 1149785*i**3/18 - 2352637*i**2/12 + 651*i. Factor z(d).
(d - 133)**3*(d + 1)/6
Let g(o) be the third derivative of o**7/42 - 5*o**6/12 + 11*o**5/4 - 25*o**4/3 + 40*o**3/3 + 2*o**2 + 54. Factor g(u).
5*(u - 4)**2*(u - 1)**2
Let c = -8/1213 + 6089/3639. Factor 125/3 + c*u**2 + 50/3*u.
5*(u + 5)**2/3
Determine d so that -307*d + 417 - 60*d**2 - 3*d**4 + 21*d**3 - 89*d + 15 + 6*d**4 = 0.
-6, 1, 4
Suppose -c = w + c - 4, -8 = 4*c. Suppose 9*u**2 + 3*u + 1 - w*u - u = 0. Calculate u.
1/3
Let d(o) be the third derivative of o**6/540 - 7*o**4/108 - 2*o**3/9 - 3*o**2 + 20. Factor d(y).
2*(y - 3)*(y + 1)*(y + 2)/9
Let m = -14 + 17. Factor -p**4 + p**4 - m*p**4 + 2*p**4.
-p**4
Suppose -4*d + 2*d + 4 = 0. Factor 5*t**d + t - 3*t + 2*t.
5*t**2
Suppose -7*v + 54 = -219. Let j be -6 + 3 - v/(-12). Factor -1/4*c + 3/4*c**2 + 0 + j*c**4 - 3/4*c**3.
c*(c - 1)**3/4
Let 55/2*m**2 + 5/4*m**4 + 0 + 0*m + 65/4*m**3 = 0. What is m?
-11, -2, 0
Let i = -529 - -95221/180. Let a(u) be the third derivative of -4*u**2 + 0*u - 1/30*u**5 + 0 + i*u**6 + 0*u**3 + 1/18*u**4. What is m in a(m) = 0?
0, 1, 2
Let z be (-3 - -2)*(-12)/6. Let b = -1 + 4. Factor d**3 + z + 4*d**3 + 1 + d**3 - b*d**4 - 6*d.
-3*(d - 1)**3*(d + 1)
Let u(c) = -2*c**2 - 102*c - 175. Let h(y) = 5*y**2 + 205*y + 355. Let i(p) = 3*h(p) + 5*u(p). Factor i(g).
5*(g + 2)*(g + 19)
Let l(v) = v. Let t(n) = -5*n**2 - 7*n - 9. Let g(b) = 3*l(b) - t(b). Let r(w) = 4*w**2 + 9*w + 9. Let i(y) = -3*g(y) + 4*r(y). Factor i(p).
(p + 3)**2
Let u(b) = 7*b**4 - 2*b**3 - 17*b**2 + 8*b + 12. Let t(d) = -9*d**4 + d**3 + 19*d**2 - 9*d - 12. Let y(r) = 4*t(r) + 5*u(r). Factor y(h).
-(h - 1)*(h + 2)**2*(h + 3)
Let n be (7/((-35)/45))/((-285)/38). Find j, given that -9/5 + 3/5*j**2 - n*j = 0.
-1, 3
Let c(r) be the second derivative of 0 - 1/60*r**5 + 1/3*r**3 - r + 1/24*r**4 - 3/2*r**2. Let u(d) be the first derivative of c(d). Solve u(b) = 0 for b.
-1, 2
Suppose -5*d**2 + 10/3*d**5 - 145/6*d**4 + 155/6*d**3 + 0*d + 0 = 0. Calculate d.
0, 1/4, 1, 6
Solve 325 + 138 + 42 + r**2 - 40*r - 105 = 0 for r.
20
Suppose 9 = 64*y - 62*y - v, 0 = y - 8*v - 42. Factor 0 - 1/2*s**y + 1/4*s**4 + 3/8*s**3 - 1/8*s**5 - 1/2*s.
-s*(s - 2)**2*(s + 1)**2/8
Suppose -3*t + 1 = -4*d - 30, 0 = -5*t - 4*d + 9. Solve 2/13*m - 4/13*m**3 + 0*m**2 + 0 + 0*m**4 + 2/13*m**t = 0.
-1, 0, 1
Let t(a) be the second derivative of a**6/120 + a**5/60 - a**4/12 + 37*a**2/2 + 37*a. Let f(n) be the first derivative of t(n). Factor f(p).
p*(p - 1)*(p + 2)
Let n be 2/((-108)/153) + 4. Let f(z) be the first derivative of -6 + 0*z - 2/3*z**2 - n*z**4 - 2*z**3. Factor f(x).
-2*x*(x + 1)*(7*x + 2)/3
Let o be 41/6 - (-9)/54. What is p in 4 - 36*p + 4*p**2 + 40*p - o - 21 = 0?
-3, 2
Suppose -5*p + 9 + 6 = 0. Factor 5*j - 7*j + 3*j**2 + 14*j - 3*j**p - 12.
-3*(j - 2)*(j - 1)*(j + 2)
Let i be 563/(-1118) - (-17)/34. Let l = 1663/3913 - i. Let 6/7*o + 0 - l*o**2 = 0. What is o?
0, 2
Let l(k) be the first derivative of -5/4*k**4 + 42 + 5*k**3 + 10*k**2 + 0*k. Factor l(p).
-5*p*(p - 4)*(p + 1)
Let t(w) = -w - 13. Let i be t(-7). Let n = 18 + i. Factor 7*q - n - 19*q - q**2 + q**2 - 3*q**2.
-3*(q + 2)**2
Suppose 7*q + 11 = 4*m + 4*q, 4*q = -3*m + 2. Let c be (6 + (-528)/90)/(m/18). Determine h so that 0 + 0*h + 2/5*h**2 + 6/5*h**3 + 2/5*h**5 + c*h**4 = 0.
-1, 0
Let j(o) be the second derivative of o**5/40 - o**4/4 + 3*o**3/4 + o + 1. Factor j(y).
y*(y - 3)**2/2
Factor 5*c**4 - 86*c**2 - 35*c**3 - 49*c**2 - 15*c**2.
5*c**2*(c - 10)*(c + 3)
Suppose 16/5*y**2 - 2/5*y**5 + 0 - 4/5*y**4 + 6/5*y**3 + 8/5*y = 0. Calculate y.
-2, -1, 0, 2
Suppose 0 = 4*m - 5*m + 11. Suppose -m*q + 6 = -8*q. Let 8*v**2 + 3 + 4*v**3 + 4*v**q + 1 + 2*v + 10*v = 0. What is v?
-1
Suppose 24*l + 75*l**2 + 96*l + 92 + 5*l**3 + 15*l + 55*l + 28 = 0. What is l?
-12, -2, -1
Let r(t) be the first derivative of -t**6/66 - 29*t**5/55 + 31*t**4/22 + 340. Find y such that r(y) = 0.
-31, 0, 2
Let l(s) be the second derivative of s**7/18900 - s**6/5400 - s**5/450 + 2*s**4/3 + 15*s. Let v(n) be the third derivative of l(n). Factor v(x).
2*(x - 2)*(x + 1)/15
Let x(l) be the first derivative of -l**3/18 + 5*l**2 - 150*l + 24. Let x(k) = 0. Calculate k.
30
Let l(j) be the third derivative of j**6/24 + j**5/4 - 5*j**4/24 - 5*j**3/2 + 3*j**2 + 2. Factor l(g).
5*(g - 1)*(g + 1)*(g + 3)
Suppose 31*q**4 - 2*q + 19*q**4 + 26*q**3 - 26*q**4 = 0. What is q?
-1, -1/3, 0, 1/4
Factor 2/7*j**2 + 864/7*j + 93312/7.
2*(j + 216)**2/7
Let g(y) be the third derivative of 0*y - 1/240*y**5 + 12*y**2 - 1/24*y**4 + 0 + 5/24*y**3. Solve g(s) = 0 for s.
-5, 1
Suppose 0 = 10*t - 3 - 27. Factor -5*g + 0*g**2 - 2*g**4 - 4*g**4 + 2*g + t*g**5 + 6*g**2.
3*g*(g - 1)**3*(g + 1)
Let j(h) = -h**2 - 16*h + 1095. Let q be j(26). Factor 18/5 - 21/5*t - 1/5*t**4 - 1/5*t**2 + t**q.
-(t - 3)**2*(t - 1)*(t + 2)/5
Let d = 4/2681 + 18287/321720. Let n(v) be the second derivative of -1/5*v**5 - 9*v + 0 - 1/12*v**4 + 0*v**3 - d*v**6 + 0*v**2. Determine j so that n(j) = 0.
-2, -2/7, 0
Let l(p) be the first derivative of -p**6/300 + p**5/200 + p**4/60 - 3*p - 21. Let c(w) be the first derivative of l(w). Suppose c(h) = 0. What is h?
-1, 0, 2
Let f = -101/18 + 1385/234. Determine x so that 2/13*x**4 - 8/13*x + 8/13*x**3 - 6/13 + f*x**2 = 0.
-3, -1, 1
Let j(h) be the first derivative of -h**5/10 - h**4