 = 2*h**2 + 1. Let w(f) = -5*j(f) + q(f). Let w(s) = 0. What is s?
-117, 3/5
Let r(z) = 119*z**2 - 13*z + 11. Let i be r(1). Factor -2*b + 118*b**2 + i*b**2 - 236*b**2 - 1.
-(b + 1)**2
Let c(p) be the second derivative of 0*p**3 + 0*p**2 + 7/5*p**5 - 10/3*p**4 - 2/21*p**7 + 4*p + 31 + 8/15*p**6. What is q in c(q) = 0?
-2, 0, 1, 5
Let s(q) be the first derivative of -q**6/600 - q**5/300 + q**2/2 + 23*q - 23. Let x(r) be the second derivative of s(r). Factor x(h).
-h**2*(h + 1)/5
Let w be (-12)/(-2) - -2*(2 + -3). Suppose 4*y - 28 = -w. Factor k**3 + 5*k - y*k**3 + 0*k**3.
-5*k*(k - 1)*(k + 1)
Let q(c) be the first derivative of -c**4/8 - 20*c**3/3 + 87*c**2/4 + 63*c - 3863. Factor q(y).
-(y - 3)*(y + 1)*(y + 42)/2
Suppose 7*f - 21 = 4*f + 3*p, 0 = -4*f - p + 8. Let -w**3 - 88 - 18*w**2 + 184 - 92 - 10*w**3 - f*w = 0. Calculate w.
-1, 4/11
Let f(j) be the second derivative of j**6/75 - 11*j**5/50 - j**4/30 + 11*j**3/15 - 869*j. Factor f(w).
2*w*(w - 11)*(w - 1)*(w + 1)/5
Let p(m) be the second derivative of 2*m - 107 - 1/10*m**4 + 1/50*m**5 - 1/5*m**2 + 1/5*m**3. Factor p(h).
2*(h - 1)**3/5
Solve -4/5*s**5 + 16/5*s**2 - 4/5*s**4 + 0 - 32/5*s + 24/5*s**3 = 0.
-2, 0, 1, 2
Let t(q) be the second derivative of -3*q - 100/3*q**3 + 0*q**2 + 10/9*q**4 - 1/90*q**5 - 19. Suppose t(n) = 0. What is n?
0, 30
Suppose 4*d - 13*d + 4572 = 0. Factor d*g**2 - 900 + 505*g**2 + 120*g - 1017*g**2.
-4*(g - 15)**2
Let t(x) = 20*x**5 - 16*x**4 - 192*x**3 + 8*x + 8. Let h(y) = 13*y**5 - 10*y**4 - 128*y**3 + 5*y + 5. Let l(p) = -8*h(p) + 5*t(p). Solve l(b) = 0.
-4, 0, 4
Let u(f) = -f**3 - 98*f**2 - 464*f + 95. Let p be u(-93). What is a in -2/9*a**p + 22/9 - 20/9*a = 0?
-11, 1
Find t such that -9/8*t**4 - 9/4*t**3 + 21/2*t**2 + 3/8*t**5 + 0 - 9*t = 0.
-3, 0, 2
Suppose -47*f + 22 = 2*b - 50*f, 3*f = 6. Let z(g) be the first derivative of 0*g**2 + 4/39*g**3 - 4/65*g**5 - b + 0*g - 3/26*g**4. Let z(j) = 0. Calculate j.
-2, 0, 1/2
Let y(a) be the second derivative of -79*a + 0 - 1/8*a**4 - 1/60*a**6 + 1/3*a**3 - 1/10*a**5 + a**2. Let y(u) = 0. Calculate u.
-2, -1, 1
Let 0*v + 0*v**2 + 0 + 1/3*v**5 - 22/3*v**4 + 121/3*v**3 = 0. Calculate v.
0, 11
Let l(x) be the first derivative of -x**4/20 - 13*x**3/5 - 19*x**2/5 + 577. Determine p so that l(p) = 0.
-38, -1, 0
Let t be (-246)/(-154) - (17 + -30 - 3128/(-238)). Solve 2/11*y**2 + 24/11 + t*y = 0 for y.
-6, -2
Let q be 13 + (-208)/21 + -5 + (-927)/(-189). Suppose 98/5*j**2 + 14*j - 6/5*j**q - 34/5 = 0. What is j?
-1, 1/3, 17
Let k(j) = 3*j**2 - 18*j + 50. Let h be k(8). Solve -7*w**3 - 46*w**3 + 8*w**3 - 135 - h*w + 903*w - 1185*w**2 = 0.
-27, 1/3
Let c(t) be the second derivative of 0*t**2 + 0*t**3 - 14*t + 1/20*t**6 - 2 + 0*t**4 - 7/80*t**5. Find b, given that c(b) = 0.
0, 7/6
Let w be (-78 + (12*-1)/2)/1. Let l be (-696)/w + -4*2. Factor -l*u**2 + 0*u + 0.
-2*u**2/7
Suppose 26*w = 9*w + 136. Suppose 0 = w*b - 109 + 77. Factor 5*l**3 - 5/2*l**b + 1/2*l**5 - 1/2 - 5*l**2 + 5/2*l.
(l - 1)**5/2
Let q(h) be the second derivative of -11*h**6/6 - 183*h**5 - 165*h**4 + 78*h - 15. Factor q(s).
-5*s**2*(s + 66)*(11*s + 6)
Let p(v) be the third derivative of 7/15*v**5 + 2*v + 0 + 56*v**2 + 4/3*v**3 + 5/2*v**4. Factor p(r).
4*(r + 2)*(7*r + 1)
Suppose -x + 51 + 70 = 4*z, 4*x + 28 = 0. Find t, given that 72/7 - 10/7*t**3 - z*t + 114/7*t**2 = 0.
2/5, 2, 9
Let g = 130617/8 + -16327. Let p(s) be the second derivative of -g*s**2 + 1/48*s**4 + 0 + 0*s**3 - 29*s. Factor p(z).
(z - 1)*(z + 1)/4
Let g = 32/1511 - -4373/7555. Factor -12/5 + g*s**2 + 0*s.
3*(s - 2)*(s + 2)/5
Let t(j) be the third derivative of -j**6/40 - 43*j**5/20 - 70*j**4 - 1150*j**3 + j**2 + 967. Factor t(b).
-3*(b + 10)**2*(b + 23)
Let c = -192 + 196. Factor -8*g**4 + 2*g**5 - 13*g**2 + 4*g - g**5 + g**c + 12*g**3 + 3*g**3.
g*(g - 4)*(g - 1)**3
Let o(n) = -2*n - 2. Let i(q) = -q**2 - q + 1. Let x be (-24)/(-9)*(-3 + 9/2). Let t be 12/(-15) - 2*x/40. Let z(r) = t*o(r) - 2*i(r). Factor z(h).
2*h*(h + 2)
Let r(f) be the third derivative of -f**6/60 - 38*f**5/45 - 455*f**4/36 + 338*f**3/9 - 38*f**2 + 3. Factor r(z).
-2*(z + 13)**2*(3*z - 2)/3
Let b(x) be the first derivative of x**3 - 57*x**2/2 + 234*x + 2222. Let b(f) = 0. Calculate f.
6, 13
Let 129/2 + 669/8*o**2 - 261/2*o + 3/8*o**4 - 18*o**3 = 0. Calculate o.
1, 2, 43
Let q be 14/9 - (-2744)/6174. Determine o, given that 32/3 + 16/3*o + 2/3*o**q = 0.
-4
Let d(i) be the third derivative of 194*i**2 + 0*i + 0*i**3 - 1/924*i**8 + 1/330*i**6 + 1/330*i**5 + 0 + 0*i**4 - 1/1155*i**7. Determine h, given that d(h) = 0.
-1, -1/2, 0, 1
Suppose 5769 = 16*z - 11*z + n, -5*z - 2*n + 5768 = 0. Let p = 5782/5 - z. Suppose 1/5*x**2 + 36/5 - p*x = 0. What is x?
6
Let w be (-3)/(12/8)*(-4 + 2). Suppose -w*h + 12 = -0*h. Let 3*d**2 + 2*d - 1 - 2*d**2 - 2*d**h - 1 + d**2 = 0. What is d?
-1, 1
Let k(y) be the second derivative of 0 - 1/120*y**5 + 1/48*y**4 + 1/6*y**3 + y**2 - 4*y. Let a(l) be the first derivative of k(l). Factor a(r).
-(r - 2)*(r + 1)/2
Let v be (-8)/(-16)*-4*(-6)/4. Factor v*k + 2 + 0*k - 11*k**2 + 5*k**2 + 7*k**2.
(k + 1)*(k + 2)
Suppose 5*x - 4*p = 9, 5*x - x - 3*p - 7 = 0. Let t be (18/27)/(x/6). Determine i so that -73*i + 35 - 7 + 138*i**2 - 90*i**3 + 27*i**t - 26*i - 1 - 3*i**5 = 0.
1, 3
Let d(i) be the third derivative of 0*i - 1/70*i**5 - 15*i**2 + 0 + 1/7*i**3 + 1/280*i**6 - 1/56*i**4. Factor d(b).
3*(b - 2)*(b - 1)*(b + 1)/7
Let f = 2/61759 + 185269/247036. Solve 7*u - f*u**3 - 3/2*u**2 + 1/4*u**4 - 6 = 0.
-3, 2
Let f(d) be the first derivative of -3*d**5/25 - 381*d**4/20 - 1107*d**3 - 267279*d**2/10 - 827052*d/5 - 3253. Factor f(k).
-3*(k + 4)*(k + 41)**3/5
Let a(f) be the third derivative of -f**6/120 - f**5/4 - 2*f**4 + 32*f**3/3 + 189*f**2. Solve a(h) = 0.
-8, 1
Suppose -y = 2*c + 1, -4 = 5*c + 8*y - 4*y. Suppose -33*p + 100 + 65 = c. Solve -41/5*m**3 + 16/5*m + p*m**5 + m**4 - 1/5*m**2 - 4/5 = 0.
-1, 2/5, 1
Let i be 9/(-33) - (-25 + 17720/770). Factor 0 - 2/7*r**2 - i*r.
-2*r*(r + 6)/7
Suppose -261*i - 1364 = -1364. Suppose -1/7*c**3 + i - 20/7*c**2 + 0*c = 0. Calculate c.
-20, 0
Suppose 0 = -5*r + t + 71 - 64, 0 = -r - 4*t + 35. Factor 6/5*z**2 + 0*z**r + 0 + 4/5*z - 2/5*z**4.
-2*z*(z - 2)*(z + 1)**2/5
Let y be (1557 + -6 + 16)*-1. Let j = 1569 + y. Factor -2/9*r**j + 0 - 4/9*r.
-2*r*(r + 2)/9
Let o(b) be the first derivative of -4*b**5/5 - 23*b**4 + 100*b**3/3 + 46*b**2 - 96*b - 251. Let o(i) = 0. Calculate i.
-24, -1, 1
Let t be 0 - 15/(-8) - (-488)/3904. Let w(y) be the first derivative of -t*y**4 + 0*y + 4/5*y**5 - 4/3*y**3 + 6 + 4*y**2. Solve w(o) = 0.
-1, 0, 1, 2
Suppose 6 = 3*k - 42. Let v be k/(-24)*9/(-4). Find g, given that -v*g - 3/2*g**4 + 0 - 9/2*g**2 - 9/2*g**3 = 0.
-1, 0
Let g(c) be the second derivative of -7/6*c**4 + 1/42*c**7 + 23/20*c**5 - 43 + 0*c**3 + 0*c**2 - 1/3*c**6 - c. Suppose g(u) = 0. Calculate u.
0, 1, 2, 7
Suppose -848/7*d**2 - 64/7*d**3 + 3855/7*d - 3825/7 = 0. What is d?
-17, 15/8
Let u(o) be the second derivative of -o**6/135 - 2*o**5/3 - 193*o**4/27 - 268*o**3/9 - 53*o**2 - 959*o + 1. Suppose u(i) = 0. What is i?
-53, -3, -1
Let g be (3 + -5)*(6/12*8 - 6). Let u(m) be the second derivative of -10*m - 2/5*m**5 + 16/3*m**3 - 8*m**2 + 1/3*m**g + 0. What is h in u(h) = 0?
-2, 1/2, 2
Let v = -51 + 12. Let s = v + 41. Let 18*m**3 - 4*m**2 + s*m + 0*m**2 - 16*m**3 = 0. What is m?
0, 1
Let d(c) = -15*c**2 + 4848*c + 292386. Let r(u) = 11*u**2 - 3462*u - 208847. Let b(f) = 13*d(f) + 18*r(f). Factor b(v).
3*(v + 118)**2
Let x = -334 - -336. Let f be (-7)/3*282/(-517). Factor 0 - 30/11*a**x - f*a**3 - 2/11*a**4 - 18/11*a.
-2*a*(a + 1)*(a + 3)**2/11
Let z(g) be the second derivative of -g**4/12 - 5*g**3/2 + 27*g**2 + 57*g - 1. Factor z(t).
-(t - 3)*(t + 18)
Let w = 4 - 2. Let o = 9/12806 + 6385/25612. Factor -o*y**w - y + 5/4.
-(y - 1)*(y + 5)/4
Suppose -82 = -13*n - 22 - 8. Factor 0*z + 0 + 0*z**3 - 5/3*z**n + 5/3*z**2.
-5*z**2*(z - 1)*(z + 1)/3
Let d(x) be the first derivative of -x**6/540 + 23*x**5/90 + 5*x**3/3 - 9*x**2/2 - 138. Let h(m) be the third derivative of d(m). Factor h(b).
-2*b*(b - 46)/3
Let 1295*j - 10*j**3 + 504 + 542*j + 28*j**3 + 414 + 920*j**2 - 17*j**3 = 0. What is j?
-918, -1
Let h be 93/33 + 2/11. Find y such that -17*y**2 - 3*y**2 + 11*y**3 + 2*y - 27*y - 9*y**3