674/13*p - 974/13*p**2 - 792/13 = 0.
1, 12, 33
Suppose -z - 2*k - 12 = 0, 2350*z = 2355*z - 3*k - 31. Solve 3/2*q + 0 - 3/2*q**z = 0 for q.
0, 1
Let f(z) be the second derivative of -2*z**6/105 - 89*z**5/35 - 25*z**4/3 - 58*z**3/7 - 5*z - 79. Factor f(b).
-4*b*(b + 1)**2*(b + 87)/7
Let n(v) be the first derivative of v**6/7 - 9*v**5/7 - 93*v**4/14 + 121*v**3/7 - 9*v**2/7 - 120*v/7 - 2321. Solve n(y) = 0.
-4, -1/2, 1, 10
Let h be -4*(4 + -9)*((-1288)/(-315) + -4). Find r such that 44/9*r**2 + 2/9*r**4 - 16/3*r - h*r**3 + 2 = 0.
1, 3
Let g(w) be the first derivative of 1/3*w**3 + 5/4*w**4 + 4*w - 1/6*w**6 - 4*w**2 - 1/5*w**5 - 107. Find c, given that g(c) = 0.
-2, 1
Let u(k) be the second derivative of 36*k + 0 - 8/27*k**3 - 5/54*k**4 - 4/9*k**2 - 1/90*k**5. Factor u(o).
-2*(o + 1)*(o + 2)**2/9
Let g(a) be the third derivative of a**8/28 + 68*a**7/105 + 49*a**6/15 - 4*a**5/15 - 101*a**4/6 - 20*a**3 - 431*a**2. Determine b so that g(b) = 0.
-6, -5, -1, -1/3, 1
Let d be 2/(-12 - (435/(-10) - -28)). Solve -213/7*p - 53/7 - d*p**2 = 0 for p.
-53, -1/4
Let k(n) be the third derivative of -n**8/336 + n**7/7 - 17*n**6/15 - 33*n**5/10 + 137*n**4/24 + 28*n**3 - 25*n**2 - 6*n. Determine d so that k(d) = 0.
-1, 1, 7, 24
Let 902 - 331 - 477*a + 28*a**2 - 554 = 0. What is a?
1/28, 17
Let -902435326/11 - 4602/11*p**2 + 2/11*p**3 + 3529734/11*p = 0. Calculate p.
767
Let f be (756/(-49) - -17) + 88/(-56) + 2. Find x such that -3*x**3 - 9/2*x**4 + x + 0 + 5/2*x**f = 0.
-1, -1/3, 0, 2/3
Let j be 2/(-6) + 20/6. Let c(x) = 156*x - 309. Let y be c(2). Factor -4*t**2 - 3*t**y - 24*t - t**j + 32*t.
-4*t*(t - 1)*(t + 2)
Let m(o) be the third derivative of -o**7/560 + 3*o**6/80 - 9*o**5/80 - 19*o**4/16 - 45*o**3/16 - 2*o**2 + 2*o - 8021. Determine h, given that m(h) = 0.
-1, 5, 9
Let x(w) be the first derivative of -5/3*w**3 + 4*w**2 + 12*w + 4 - 1/4*w**4. Factor x(l).
-(l - 2)*(l + 1)*(l + 6)
Let m(u) = u**3 + 9*u**2 + 8*u. Let p(q) = 4*q**3 + 27*q**2 + 23*q. Let i = -25 + 19. Let a(y) = i*p(y) + 21*m(y). Let a(v) = 0. Calculate v.
-1, 0, 10
Suppose -y - 8 = -f, -2*f - y = f - 32. Let i be 188/60 - f/75. Let 5*v**4 + 12*v**3 - 4*v**3 + v**i + 6*v**3 - 20*v**2 = 0. What is v?
-4, 0, 1
Let z = 6405001/420 - 15250. Let h(d) be the third derivative of 0*d**3 + 1/105*d**5 + 0*d + 0 + 19*d**2 + z*d**6 + 0*d**4. Factor h(i).
2*i**2*(i + 2)/7
Suppose -4*d = 3*t - 1 - 5, -8 = -4*t - 4*d. Let l be 3 - t - 3/(-1). Factor -2*z - 2*z + 8*z - 24 + l*z**2.
4*(z - 2)*(z + 3)
Let b = -97237 + 97240. Find i such that -3/2*i + 1/2*i**b + 0*i**2 + 1 = 0.
-2, 1
Suppose -14*l + 22*l = 88. Let w(f) = -3*f**3 + 2*f**2 + 62*f - 82. Let j(c) = 14*c**3 - 11*c**2 - 311*c + 411. Let v(p) = l*w(p) + 2*j(p). Factor v(g).
-5*(g - 2)**2*(g + 4)
Suppose 0 = -4*d + 2*a + 22, 6*d + 2*a = d + 14. Determine t, given that t**5 - 4*t - 13*t**4 + 5*t**4 + 3*t**3 + 4*t**4 - 4*t**2 + 8*t**d = 0.
-2, -1, 0, 1
Let w(r) be the first derivative of -12 - 40/3*r**3 + 0*r - 5/4*r**4 + 0*r**2. Factor w(d).
-5*d**2*(d + 8)
Let l(z) be the third derivative of 0*z + 0*z**3 - 1/40*z**6 + 0*z**5 + 24 + 2*z**2 + 1/1050*z**7 + 0*z**4. Factor l(u).
u**3*(u - 15)/5
Suppose 0 = -5*n - 0*n - 25. Let i(t) = 12*t + 62. Let k be i(n). Let -15*h**3 + 6*h**2 - 8*h**2 - 10*h**k = 0. What is h?
-4/5, 0
Let s(l) = 3*l**2 - 3*l - 3. Let c be s(-4). Let q be 64/6 + (-38)/c. Solve -3*z**2 + z**3 + 7*z**4 + 5*z**3 - q*z**4 = 0 for z.
0, 1
Let c = -88667/36192 + 13/928. Let b = 36/13 + c. Suppose 5/3*n**2 - b - n**3 - 1/3*n = 0. Calculate n.
-1/3, 1
Let c(k) be the first derivative of 13 - 9/7*k**2 - 16/7*k - 2/21*k**3. Determine d so that c(d) = 0.
-8, -1
Let y(g) = 8*g**2 + 857*g + 8189. Let r(k) = -52*k**2 - 5568*k - 53228. Let t(q) = -5*r(q) - 32*y(q). Determine c, given that t(c) = 0.
-93, -11
Let m(p) be the third derivative of p**10/25200 - p**9/4480 + p**8/6720 - 73*p**5/60 + 10*p**2. Let i(w) be the third derivative of m(w). Solve i(u) = 0.
0, 1/4, 2
Let v(c) = -2*c**3 - 6*c**2 - 9*c + 1. Let d be v(-2). Let q be (-2)/(1/(6/((-78)/d))). Let 4/13 + 18/13*y**2 + q*y = 0. What is y?
-1, -2/9
Let u(d) = -d**3 - 877*d**2 + 878*d - 18. Let o(h) = 6*h**3 + 5261*h**2 - 5267*h + 117. Let r(v) = 4*o(v) + 26*u(v). Factor r(i).
-2*i*(i - 1)*(i + 880)
Suppose 8*v + 56 = 22*v. Determine h, given that 16*h**2 + 858 + 5*h**2 - 858 - 123*h**3 + 84*h**v + 18*h = 0.
-2/7, 0, 3/4, 1
Let r(k) be the second derivative of 14*k - 32/21*k**3 - 1/70*k**5 + 0*k**2 + 2 - 11/14*k**4. Find l, given that r(l) = 0.
-32, -1, 0
Let u(l) be the first derivative of 5/6*l**4 + 199 - 2/3*l - 1/3*l**2 + 4/15*l**5 + 2/3*l**3. Find h such that u(h) = 0.
-1, 1/2
Let l(z) be the second derivative of 13254*z**6/5 + 100533*z**5/20 + 21295*z**4/12 + 287*z**3/6 + z**2/2 + z - 1401. Solve l(w) = 0.
-1, -1/4, -1/141
Let y(v) be the first derivative of -29*v - 1/4*v**3 + 0*v**4 + 1/40*v**5 + 2 - 1/2*v**2. Let q(g) be the first derivative of y(g). Factor q(b).
(b - 2)*(b + 1)**2/2
Let d be (-5 + -4 - 26/(-4))/(4 + (-255)/20). Suppose -16*a - 224 - d*a**2 = 0. Calculate a.
-28
Let u(h) = 5*h**3 - 64*h**2 - 23*h + 46. Let l(c) = c**3 + c**2 - c - 1. Suppose 10 - 44 = -34*s. Let i(q) = s*u(q) + 4*l(q). Find d such that i(d) = 0.
-1, 2/3, 7
Let x = -420277 - -420277. Determine t, given that 2/9*t**4 + 0*t + 0*t**2 + 22/3*t**3 + x = 0.
-33, 0
Find m, given that -5336*m**2 + 1650838 - 73*m**3 + 4*m**5 - 4089738 + 4508*m**3 + 2277*m**3 - 308*m**4 - 575034*m - 148226*m = 0.
-5, 29
Let f(b) = b**3 + 19*b**2 + 14*b - 40. Let z be f(-18). Let l be 2 - z/110 - 8/(-88). Find o such that 0*o + 69/5*o**4 + 54/5*o**5 + l*o**3 - 6/5*o**2 + 0 = 0.
-1, -1/2, 0, 2/9
Let t(p) = 396010*p**3 - 3975*p**2 + 15*p - 10. Let a(d) = -198005*d**3 + 1988*d**2 - 7*d + 4. Let q(n) = 5*a(n) + 2*t(n). Factor q(x).
-5*x*(199*x - 1)**2
Suppose a + 266 = 5*f, 0*f - a = -3*f + 160. Let s = 61 - f. Suppose 9*w**4 - 12*w**3 - w**2 - w**5 - s*w**4 + 13*w**3 = 0. What is w?
-1, 0, 1
Let u(d) be the second derivative of d**7/5880 - d**6/140 - 13*d**5/280 + d**4/6 - 3*d**2 + 7*d. Let j(z) be the third derivative of u(z). Solve j(l) = 0 for l.
-1, 13
Suppose b**4 - 1103*b**3 + 2157*b**3 + 13*b - 1067*b**3 - b**2 = 0. What is b?
-1, 0, 1, 13
Let j(s) = s**2 + 24*s - 36 - 508 - 42 + 6 + 24*s. Let u be j(-58). Solve -4/21*l + 2/21*l**3 + u - 2/21*l**2 = 0 for l.
-1, 0, 2
Factor 3314 - 6621 - 15*f**2 + 3313 - 6*f**3 - 3*f.
-3*(f + 1)*(f + 2)*(2*f - 1)
Let p(i) be the first derivative of -16*i**2 - 225 - 10/21*i**3 - 88/7*i. Let p(y) = 0. Calculate y.
-22, -2/5
Let w(i) be the first derivative of i**4/18 + 104*i**3/27 + 185*i**2/3 - 1427. Find o, given that w(o) = 0.
-37, -15, 0
Let p be (51/(-15) + 4)*(-23)/((-621)/6). Suppose 486/5 + p*u**2 + 36/5*u = 0. Calculate u.
-27
Solve -12/5*m**3 + 62/15*m**2 - 64/15 + 2/15*m**4 + 12/5*m = 0 for m.
-1, 1, 2, 16
Let z = 6033/418 + -255/22. Let w = z - 1096/399. Determine m so that -w*m**5 + 16/3*m**2 - 64/21*m**3 + 6/7*m**4 + 32/21 - 32/7*m = 0.
1, 2
Let b = 154 - 152. Factor -48 + 3*i**b + 39*i + 5*i**2 + 5*i - 4*i**2.
4*(i - 1)*(i + 12)
Let h(x) = -77*x**2 + 62*x + 107. Let n(a) = -39*a**2 + 29*a + 54. Let t(m) = 4*h(m) - 7*n(m). Factor t(c).
-5*(c - 2)*(7*c + 5)
Let j be ((-117)/104)/((-4)/32). Suppose -4*a + 17 = c, -4*a + j*a + 5*c - 40 = 0. Factor 0 - 2/15*w**a - 2/15*w**2 + 0*w.
-2*w**2*(w + 1)/15
Let u = 176 - 162. Let h(z) = z**5 - z**4 - z**2 + z - 1. Let p(g) = 9*g**5 + g**4 + 6*g**3 - 15*g**2 - g - 7. Let w(i) = u*h(i) - 2*p(i). Solve w(s) = 0 for s.
-2, -1, 0, 1
Let f be (3/27)/((715/150)/(-13)). Let w = f - -53/66. Solve 0 - 1/2*j + w*j**2 = 0 for j.
0, 1
Factor 2*f - 8*f**3 - 36*f**3 + 0*f**2 + 18*f**2 + 23*f**3 - 18 + 19*f.
-3*(f - 1)*(f + 1)*(7*f - 6)
Let v(j) be the third derivative of -j**6/180 + 136*j**5/45 + 275*j**4/36 - 182*j**3/3 + 269*j**2. Find d, given that v(d) = 0.
-2, 1, 273
Let z(m) be the first derivative of -25/2*m**2 - m**5 - 5/6*m**6 + 15*m - 10/3*m**3 - 63 + 15/2*m**4. Determine i, given that z(i) = 0.
-3, -1, 1
Let y(a) be the second derivative of -a**6/4 - 63*a**5/20 + 29*a**4/8 + 9*a**3/2 - 573*a + 2. Solve y(r) = 0 for r.
-9, -2/5, 0, 1
Let u be (-4)/(32/219) + (29 - 27). Let m = -999/40 - u. Let -8/15*z**2 + 2/15 - m*z = 0. What is z?
-1, 1/4
Let