2 + 0 - 46*q**h = 0. Calculate q.
0, 6/11, 1
Let c(h) = h**2 - h - 1. Let f be c(-4). Let a = 21 - f. Factor 5 + 1 + a + 1 + 12*n + 3*n**2.
3*(n + 1)*(n + 3)
Let t(o) be the first derivative of -18*o + 18 + 2/21*o**3 + 0*o**2 + 1/21*o**4. Let x(h) be the first derivative of t(h). Factor x(i).
4*i*(i + 1)/7
Let k(w) be the third derivative of 4489*w**6/160 + 469*w**5/6 + 271*w**4/24 + 2*w**3/3 - 2*w**2 - 66. Factor k(r).
(3*r + 4)*(67*r + 2)**2/4
Suppose 2*o + 34 = 5*x + 23, 4*o + 5*x - 23 = 0. Let m(j) be the first derivative of 22/3*j**3 - 9/2*j**4 - 2*j**o - 27 + 0*j. Solve m(r) = 0 for r.
0, 2/9, 1
Let m(d) be the first derivative of -d**6/6 - 4*d**5/5 + 91*d**4/4 - 74*d**3/3 - 84*d**2 - 2707. What is t in m(t) = 0?
-12, -1, 0, 2, 7
Let n(q) be the third derivative of q**8/1008 - q**7/42 + 31*q**6/180 - 2*q**5/5 - 1304*q**2. Factor n(h).
h**2*(h - 9)*(h - 4)*(h - 2)/3
Let w = -7 - -7. Let y = -5174/7 + 740. Factor 4/7 + w*l**2 - 2/7*l**3 + y*l.
-2*(l - 2)*(l + 1)**2/7
Let j(v) be the second derivative of -v**5/10 - 30*v**4 - 119*v**3 - 178*v**2 + 4200*v + 1. Factor j(d).
-2*(d + 1)**2*(d + 178)
Let o = -2426 + 2428. Let w(t) be the second derivative of 1/30*t**4 + 2/15*t**3 - 2*t - 3/5*t**o + 0. Determine q so that w(q) = 0.
-3, 1
Let g = -1743 + 1786. Suppose 2 = -r, g*j + 10 = 40*j - 5*r. Let -2/7*n**2 + 0*n - 2/7*n**5 + 2/7*n**3 + j + 2/7*n**4 = 0. Calculate n.
-1, 0, 1
Factor -153/2*q + 78 - 3/2*q**2.
-3*(q - 1)*(q + 52)/2
Suppose 9*p = 14*p - 460. Let h = p + -5. Find i such that -93*i**2 - 13 - 4*i**4 + 111*i**3 - h*i - 17*i**4 - 84*i + 67 = 0.
-1, 2/7, 3
Let i be (-45025)/(-108060) + 0*(-1 - 3*(-2)/4). Solve 1/4*l - 1/12*l**4 + i*l**2 + 0 + 1/12*l**3 = 0.
-1, 0, 3
Suppose -5*k - 34 = 1. Let s(v) = v**3 + 7*v**2 + 6*v + 45. Let j be s(k). Find i, given that -15*i**2 + i**4 - 4*i**4 - 18*i**j + 27 - 9*i**2 + 18*i = 0.
-3, -1, 1
Let d(m) be the first derivative of -m**5/5 - 35*m**4/3 - 134*m**3/3 - 66*m**2 + 21*m + 59. Let i(r) be the first derivative of d(r). Factor i(b).
-4*(b + 1)**2*(b + 33)
Suppose -5*u + 3*u + 50 = 0. Suppose 2*x - 2 = -2*c, -x - u = -5*c + 4*x. Factor o**5 + 4*o**4 - 10*o**2 - 4*o**3 + o**c - 2*o**5 + 2*o**3 + 8 + 4*o.
-(o - 2)**3*(o + 1)**2
Let b = -4/3677 + 3917/220620. Let d(p) be the third derivative of -7*p**2 + 1/120*p**6 + 0 - 1/3*p**4 - b*p**5 + 2*p**3 + 0*p. Factor d(c).
(c - 2)**2*(c + 3)
Let x(g) = -220*g**2 - 245*g - 5. Let z(l) = -l**3 - 219*l**2 - 238*l - 4. Let v(s) = -4*x(s) + 5*z(s). Solve v(i) = 0 for i.
-42, -1, 0
Let r(d) = d**3 + 5*d**2 + 6*d + 8. Let w be r(-4). Let o be (1/(-3) - 7/(-12)) + (-5)/(-28). Suppose 3/7*p**2 + o*p + w = 0. Calculate p.
-1, 0
Let s = 1284910 + -584633744/455. Let h = s - -12/65. Find o such that 2/7*o**3 - h*o - 4/7 + 0*o**2 = 0.
-1, 2
Let v = 179307 + -179303. Find f, given that 0*f**3 - 7/5*f**2 + 1/5*f**v + 6/5*f + 0 = 0.
-3, 0, 1, 2
Let p = -3 - -16. Suppose -h + p = 7. Let h*r - 3*r**3 + 3*r + 5*r - 11*r = 0. Calculate r.
-1, 0, 1
Let i(b) be the third derivative of 44*b**2 - 1/3*b**4 - 17/60*b**5 + 1/18*b**3 + 0 - 13/180*b**6 + 0*b. Determine q, given that i(q) = 0.
-1, 1/26
Suppose 123*g + 140*g = 12*g + 429 + 73. Suppose g*s**3 + 1/3*s**4 - 8/3 - 2*s + 7/3*s**2 = 0. Calculate s.
-4, -2, -1, 1
Factor -14 + 65*u - 930*u**2 + 514*u**2 + 456*u**2 - 16.
5*(u + 2)*(8*u - 3)
Let d = -40 + 42. Let a(z) = z**4 - 18*z**3 + 76*z**2 - 117*z + 53. Let q(b) = -8*b**3 + 38*b**2 - 58*b + 26. Let f(g) = d*a(g) - 5*q(g). Factor f(k).
2*(k - 2)*(k - 1)**2*(k + 6)
Let -588*a**2 + 136*a - 6166/7*a**3 - 24*a**4 - 48/7 + 126*a**5 = 0. What is a?
-2, -1, 2/21, 3
Let f(u) = 1. Let s(c) = c**2 - 2*c + 4. Let o(i) = -3*f(i) + s(i). Let q(j) = -21*j**2 + 54*j + 7. Let g(w) = 5*o(w) + q(w). Factor g(z).
-4*(z - 3)*(4*z + 1)
Suppose -239*i + 28*i + 1004 = 40*i. Factor -i*c + 1/4*c**2 - 17/4.
(c - 17)*(c + 1)/4
Determine u, given that 0 - 30*u**3 + 2/3*u**4 - 92/3*u**2 + 0*u = 0.
-1, 0, 46
Suppose y + 2896 = 9*y. Suppose -190 - 188 - s**2 + 8*s + y = 0. What is s?
4
Factor -6*f**2 - 14*f**2 - 11*f**2 + 260 + 48*f**2 - 13*f**2 + 72*f.
4*(f + 5)*(f + 13)
Let z(g) be the second derivative of -g**7/21 - g**6/12 + 23*g**5/40 + 11*g**4/12 - 7*g**3/3 - 2*g**2 + 2*g + 3284. Solve z(j) = 0.
-2, -1/4, 1, 2
Factor -1/3*n**2 - 1019/3 - 340*n.
-(n + 1)*(n + 1019)/3
Let i be (-523 - -501)/((-8)/((-96)/(-38))). Suppose 34/19*d**2 - 16/19 + i*d = 0. What is d?
-4, 2/17
Let k(a) = 14*a**2 + 18*a + 4. Let l be k(-4). Solve 96*y**3 + 204*y**2 + l*y**4 - 99*y - 171*y**4 + 3*y = 0 for y.
-2, 0, 2/5, 8
Factor 656*l - 330 - 2*l**2 + 4*l**2 - 330 + 3*l**2 - l**2.
4*(l - 1)*(l + 165)
Let d(y) = 8*y + 43. Let v be d(-5). Suppose 4*p - p + 3 = v*j, -j - 3*p = 3. What is r in -2/7*r**4 - 10/7*r**2 - 8/7*r**3 - 4/7*r + j = 0?
-2, -1, 0
Factor 11/6*h - 3/2*h**2 + 7/2 + 1/6*h**3.
(h - 7)*(h - 3)*(h + 1)/6
Let v(k) be the first derivative of 56/3*k**2 - 32*k + 17 - 50/27*k**3 + 1/18*k**4. Factor v(n).
2*(n - 12)**2*(n - 1)/9
Let b be (-1)/5 - 88/10. Let j = 20 + b. Determine t so that 15*t - 11*t - 5*t + 3*t**2 + 9 - j*t = 0.
1, 3
Suppose -1666*t = -1345*t - 418 - 224. Let 2/9*d**t + 10/3 + 32/9*d = 0. What is d?
-15, -1
Let f be 15205/(-20) - (-1)/4. Let g be 5 - (-19)/(f/192). What is h in 16/5*h + 9/5*h**3 + 0 + 24/5*h**2 + g*h**4 = 0?
-4, -1, 0
Factor -32/7*b**3 - 48/7*b**2 + 18*b - 54/7.
-2*(b + 3)*(4*b - 3)**2/7
Let q(o) = 3*o**2 + 0*o**2 - 2*o**2 + o + 3*o + 2. Let m be q(-4). Find l such that 3 - m + 1 + l**3 - 3*l = 0.
-2, 1
Let w(j) = -2*j**2 + 100*j - 1120. Let f be w(33). Suppose 0 + 9/4*p + 3/8*p**f = 0. What is p?
-6, 0
Let t(v) be the third derivative of -v**6/1980 - v**5/110 - v**3/2 - 2*v**2 + 24. Let o(z) be the first derivative of t(z). Find u, given that o(u) = 0.
-6, 0
Suppose 2387*n = 4*o + 2384*n - 15, -2*n + 1 = o. Factor 3/2*x + 21/4*x**2 + 9/4*x**o + 0.
3*x*(x + 2)*(3*x + 1)/4
Factor 0 + 126/11*k**3 + 128/11*k**2 + 0*k - 2/11*k**4.
-2*k**2*(k - 64)*(k + 1)/11
Let n = -1338 - -5598. Let c = 17145/4 - n. Find t, given that 75 + 363/4*t**3 - 243/4*t**2 - 105*t + 9/4*t**5 - c*t**4 = 0.
-1, 2/3, 2, 5
Let j(v) be the first derivative of 17/3*v**3 - 21 - 17*v + 1/8*v**4 - 1/4*v**2. Find f, given that j(f) = 0.
-34, -1, 1
Suppose -18*x = 739 + 9935. Let b = 595 + x. Factor 1/2*n - n**3 + 1/2*n**5 + 0*n**4 + 0*n**b + 0.
n*(n - 1)**2*(n + 1)**2/2
Let o be (1/(-3))/((-7)/(-1113)). Let k = o - -56. Factor 5*t**2 + 10*t - 5 - k*t**2 - 7*t**2.
-5*(t - 1)**2
Let b(x) be the second derivative of x**6/5 - 87*x**5/20 + 2*x**4 + 42*x**3 - 6*x + 41. Solve b(v) = 0.
-3/2, 0, 2, 14
Let j(a) = 7*a**4 - a**2. Let w(x) = 38*x**4 + 18*x**3 + 34*x**2 + 36*x + 12. Let v(p) = 5*j(p) - w(p). Factor v(n).
-3*(n + 1)**2*(n + 2)**2
Factor -147/2*z + 225/2*z**2 - 1.
(3*z - 2)*(75*z + 1)/2
Let w = 151 - 146. Suppose 426*l + 2236 + 519*l + 1035*l + w*l**3 + 2604 - 210*l**2 = 0. What is l?
-2, 22
Suppose 3*b - 8*j + 10*j + 43 = 0, -2*b = -3*j + 46. Let n(y) = -y**2 - 2*y + 258. Let w be n(b). Find v such that 16/13 - 2/13*v**w + 14/13*v**2 - 28/13*v = 0.
1, 2, 4
Let p(f) be the first derivative of 3*f**5/10 + 8065*f**4/16 - 6727*f**3/12 - 2689*f**2/8 + 1345*f/4 - 2850. Find z such that p(z) = 0.
-1345, -1/2, 1/3, 1
Let n be ((-423)/(-564) - 274/24)/((-24)/54). Factor -n + 4*q - 1/6*q**2.
-(q - 12)**2/6
Let k(c) be the second derivative of c**6/30 + 107*c**5/20 - 217*c**4/12 + 109*c**3/6 - 726*c + 2. Factor k(v).
v*(v - 1)**2*(v + 109)
Let x(c) = c**3 - 7*c**2 + 6*c + 16. Let u be x(6). Let y be u/15 - (-2)/(-5). Find n such that -y + 2/3*n**3 - 2*n**2 + 2*n = 0.
1
Let l(d) = -d**3 + 17*d**2 + 17*d + 21. Let m be l(18). Suppose 8*o - 15 = m*o. Factor 3*s**3 + 0*s**3 + 0*s**o - 3*s**5.
-3*s**3*(s - 1)*(s + 1)
Let h(v) be the second derivative of 0 - 17/3*v**2 + 1/18*v**4 + 16/9*v**3 - 146*v. Suppose h(b) = 0. What is b?
-17, 1
Let x(j) be the first derivative of j**6/135 + j**5/15 + j**4/6 + 101*j + 84. Let s(y) be the first derivative of x(y). Suppose s(c) = 0. What is c?
-3, 0
Let d(g) = 6*g**4 - 12*g**3 + 9*g**2 - 3*g. Let b(n) = -6*n - 10*n + 15*n + 4*n**4 - 3*n**4. Let m(q) = b(q) - d(q). What is w in m(w) = 0?
0, 2/5, 1
Let x be -1834*(-15)/1365 - (17 - -3). Suppose 38/13*t - 68/13 - x*t**2 = 0. What is t?
2, 17
Let h =