5*r**3 + 2*r**2 + 13*r - 4*r**3 = 0. What is r?
-1, 0
Let q = 24 + -22. Factor 2*m - m**4 + 50*m**3 + 3*m**2 - 46*m**3 - 8*m**q.
-m*(m - 2)*(m - 1)**2
Let a(n) be the third derivative of n**6/300 - 7*n**5/50 + 49*n**4/20 - 343*n**3/15 + 111*n**2 + 1. Determine t so that a(t) = 0.
7
Let k be 7 + (300/(-22) - (-32 - -25)). Let u(d) be the first derivative of 1/22*d**4 + k*d + 10 + 8/33*d**3 + 5/11*d**2. Let u(h) = 0. What is h?
-2, -1
Let f(g) be the second derivative of g**4/84 - 2*g**3/21 + 3*g**2/14 + 63*g. Factor f(m).
(m - 3)*(m - 1)/7
Suppose 20 = 5*n + k, k = 5*n - k - 5. Let l be (-30)/(-18) + -1*n/3. Factor 2/9*f + l*f**3 + 2/9*f**4 + 0 + 2/3*f**2.
2*f*(f + 1)**3/9
Determine y, given that -2/5*y**2 - 56/5 - 58/5*y = 0.
-28, -1
Let a(p) be the second derivative of p**7/1890 + 4*p**6/135 + 32*p**5/45 - 19*p**4/12 - 6*p. Let u(s) be the third derivative of a(s). Factor u(x).
4*(x + 8)**2/3
What is q in -5/4*q**3 + 3/4*q**4 + 0 - 1/12*q + 7/12*q**2 = 0?
0, 1/3, 1
Let l(d) be the first derivative of d**5 - 10*d**4 + 20*d**3 + 80*d**2 - 320*d - 613. Determine o, given that l(o) = 0.
-2, 2, 4
Let j(w) be the second derivative of -w**9/22680 - w**8/10080 + w**7/1890 + 11*w**4/4 + 9*w. Let c(o) be the third derivative of j(o). Factor c(t).
-2*t**2*(t - 1)*(t + 2)/3
Let h = -1461 - -58443/40. Let j(v) be the second derivative of -1/4*v**4 + 0 + 0*v**2 + h*v**5 + 1/3*v**3 - 6*v - 1/120*v**6. Determine o, given that j(o) = 0.
0, 2
Let f(z) be the third derivative of 0*z**3 - 50*z**2 + 3/560*z**8 - 1/50*z**6 + 0*z - 2/175*z**7 + 0*z**5 + 0*z**4 + 0. Factor f(j).
3*j**3*(j - 2)*(3*j + 2)/5
Let r = 33924 + -237404/7. Suppose -r - 440/7*b + 14*b**3 - 104*b**2 = 0. Calculate b.
-2/7, 8
Let i(l) = 78*l + 2. Let j be i(1). Suppose -t**5 - t**3 + 2*t**4 - 80*t**2 + j*t**2 = 0. What is t?
0, 1
Factor -2*b**4 - 3*b**3 - 1/2*b - 1/2*b**5 - 2*b**2 + 0.
-b*(b + 1)**4/2
Let r = 2/401 + 1590/2807. Let a be (1/14)/(1/4). Let 0 + a*d + r*d**2 = 0. Calculate d.
-1/2, 0
Let t(v) be the first derivative of v**8/168 + 2*v**7/105 + v**6/60 + 7*v**2/2 - 17. Let f(d) be the second derivative of t(d). Solve f(n) = 0.
-1, 0
Let f(o) be the first derivative of 0*o**3 + 1 + 0*o - 1/15*o**5 - 1/6*o**4 + 7/2*o**2. Let t(l) be the second derivative of f(l). Factor t(y).
-4*y*(y + 1)
Let m(h) be the first derivative of h**3/2 + 51*h**2/4 - 57*h - 32. Solve m(n) = 0 for n.
-19, 2
Let q(t) = -t**2 + 8*t + 4. Let y be q(8). Let -2*g**2 + 12*g - 12*g + 5*g**3 - 5*g**4 + g**y + g**5 = 0. Calculate g.
0, 1, 2
Suppose 11*n - 13*n + 4 = 0. Factor 2*a**2 + 20 - 7*a**n - 9*a - 5*a**3 + 29*a.
-5*(a - 2)*(a + 1)*(a + 2)
Let n = 1317 - 3821/3. Let z = n + -43. Factor 0*l + 0 - 1/3*l**4 - z*l**2 - 2/3*l**3.
-l**2*(l + 1)**2/3
Let c be (14/(-5))/(1309/(-935)). Factor 8/3*j**2 + 26/3*j + c.
2*(j + 3)*(4*j + 1)/3
Let c = 83 - 81. Factor -3*u**3 - 3*u**c + u**4 + 9*u**3 - 4*u**4.
-3*u**2*(u - 1)**2
Let d(v) be the second derivative of -v**4/28 - 21*v**3 - 9261*v**2/2 - v + 323. Determine k so that d(k) = 0.
-147
Let a(i) = -i**3 - 10*i**2 + 4. Let b be a(-10). Let t = 8 - 6. Find u such that -b*u**t - 4*u**4 - u**2 + 12*u**3 + 15*u**2 + 6*u**2 = 0.
-1, 0, 4
Suppose 7*v - 28 = -0*v. Let h(t) be the second derivative of 0*t**2 - 5*t + 0*t**3 + 0 - 1/54*t**v. Find u such that h(u) = 0.
0
Let u(h) be the third derivative of -h**6/330 - 3*h**5/110 + 5*h**4/132 + 72*h**2. Factor u(f).
-2*f*(f + 5)*(2*f - 1)/11
Suppose b + 5*u - 14 = 0, -30 = -2*b + 5*u + 58. Factor -15*p - b - 5*p**2 + 22 + 2*p**2.
-3*(p + 1)*(p + 4)
Suppose -4*l - 16 = 0, -2*c - 3*l = 2*c + 4. Let t = c + 0. Let n**t + 0*n**2 - 5*n + 5*n = 0. What is n?
0
Let p(k) = 2*k**2 + 3*k + 1. Let f be p(-2). Let i(r) = r - 1. Let m be i(f). Factor 3*t**2 + 3*t**3 - 1 - t - m*t**2 - 2*t**3.
(t - 1)*(t + 1)**2
Suppose 0*h - 10*h = 60. Let o(l) = -l**4 - l**3 - l + 1. Let r(w) = -4*w**5 - 10*w**4 + 14*w**3 + 48*w**2 - 30*w - 6. Let g(y) = h*o(y) - r(y). Factor g(d).
4*d*(d - 1)**2*(d + 3)**2
Find k such that 0*k + 2/13*k**5 + 0 + 84/13*k**2 + 4/13*k**4 - 58/13*k**3 = 0.
-7, 0, 2, 3
Let c(d) = -10*d**5 - 172*d**4 - 70*d**3 + 2*d**2 + 2. Let m(v) = 20*v**5 + 343*v**4 + 141*v**3 - 5*v**2 - 5. Let o(z) = -5*c(z) - 2*m(z). Factor o(x).
2*x**3*(x + 17)*(5*x + 2)
Factor 4 + 1/4*j**2 - 2*j.
(j - 4)**2/4
Let x(z) be the third derivative of -5*z**8/336 + 2*z**6/3 + 19*z**5/6 + 55*z**4/8 + 25*z**3/3 - 13*z**2. Find t such that x(t) = 0.
-2, -1, 5
Let w(d) be the third derivative of d**8/224 - 4*d**7/35 + d**6 - 16*d**5/5 + 245*d**2. Factor w(v).
3*v**2*(v - 8)*(v - 4)**2/2
Let p(t) = 4*t**3 - 12*t**2 - 10*t. Let v = -21 - -22. Let w(g) = -g**3 + g**2 + g. Let d(l) = v*p(l) + 6*w(l). Factor d(r).
-2*r*(r + 1)*(r + 2)
Solve 23/6*v**3 + 6*v**2 + 0 - 10/3*v - 3/2*v**5 - 7*v**4 = 0.
-5, -1, 0, 2/3
Determine d so that 0 - 1682*d**2 + 48778/3*d - 2/3*d**4 + 58*d**3 = 0.
0, 29
Let v(h) be the first derivative of h**3/2 - 21*h**2/2 - 45*h/2 + 148. Let v(s) = 0. What is s?
-1, 15
Let t = 32 - 27. Factor 3 - 25 - 15*j + 12 + t*j**3.
5*(j - 2)*(j + 1)**2
Let i(r) be the first derivative of -r**6/36 + 7*r**5/30 - 11*r**4/24 + 5*r**3/18 + 156. What is a in i(a) = 0?
0, 1, 5
Let b be 10*4/(-24) - 1/3. Let p be (2 + (-6)/(-10) + -3)*b. What is n in -p*n - 14/5*n**2 + 0 = 0?
-2/7, 0
Let h(v) be the second derivative of -5*v**4/12 + 20*v**3/3 - 40*v**2 - 27*v + 1. Find c, given that h(c) = 0.
4
Suppose l + 4 = f, -4*f - 2*l = 2*l - 8. Let 4*s + 7*s + 4*s**2 + 0*s - f*s = 0. What is s?
-2, 0
Let u(n) be the third derivative of n**7/70 - n**6/10 + n**5/5 - 3*n**2 + 2. Find w such that u(w) = 0.
0, 2
Let v(q) = -6*q**4 + 4*q**3 + 4*q**2 - 6*q. Let y(i) = -i**3 - i. Suppose 2*c + 6 = 3*x + 10, 10 = -5*x. Let k(r) = c*v(r) + 6*y(r). Factor k(u).
2*u**2*(u - 2)*(3*u + 1)
Let g be -28 + 34 + -8 + 2. Let j(a) be the second derivative of -1/24*a**3 - 1/48*a**4 + g*a**2 + 0 - 5*a. Factor j(c).
-c*(c + 1)/4
Find v such that 0*v + 800/11*v**2 + 162/11*v**4 + 0 + 720/11*v**3 = 0.
-20/9, 0
Suppose 5*x - 2*g = 2*g + 16, -4*g = -x. Suppose 0 = x*z + 4 - 16. What is r in -250*r**z + 212*r**2 + 38*r - 490*r**5 - 2*r - 896*r**4 - 11 + 4*r - 5 = 0?
-1, -2/5, 2/7
Suppose -4*k - 185 = -41. Let c be k/(-60) - (-1)/(-5). What is b in 2/5*b + 0 + c*b**2 - 2/5*b**4 - 2/5*b**3 = 0?
-1, 0, 1
Let k be (-14)/12*3*(-8)/14. Let y(g) be the first derivative of -1/2*g**3 + 9/2*g**k + 1 - 27/2*g. Factor y(b).
-3*(b - 3)**2/2
Let b be 67/75*1 - 104/312. Let y = b + -76/225. Factor 4/9*g - 2/9 - y*g**2.
-2*(g - 1)**2/9
Let s(q) = q**2 + 3. Let z be s(0). Factor 4*v**2 + 10*v**4 + 5*v + 5*v**z - 10*v - 14*v**2.
5*v*(v - 1)*(v + 1)*(2*v + 1)
Suppose 9*d - 148 = -28*d. Let g(f) be the third derivative of 0 + 0*f - 1/4*f**d + 3/2*f**3 - 1/4*f**5 - 5*f**2. What is n in g(n) = 0?
-1, 3/5
Let m(y) be the first derivative of 7 + 0*y + 9/8*y**4 + 1/2*y**2 + 7/6*y**3 + 1/12*y**6 + 1/2*y**5. Let m(i) = 0. Calculate i.
-2, -1, 0
Let o be (132/(-88))/(1/4*-3). Let k(c) be the third derivative of 2*c**o + 0*c - 3/16*c**4 - 1/2*c**3 + 0*c**5 + 1/80*c**6 + 0. Solve k(p) = 0 for p.
-1, 2
Let b = -2271 - -2273. Factor -2/3*x + 0*x**b + 4/3*x**3 + 0 - 2/3*x**5 + 0*x**4.
-2*x*(x - 1)**2*(x + 1)**2/3
Let l(z) be the first derivative of 0*z + 4/7*z**2 - 1/7*z**4 - 1 + 4/21*z**3. Factor l(a).
-4*a*(a - 2)*(a + 1)/7
Let r(w) = w**2 - 24*w - 45. Suppose 10*a - 5*a - 26 = 4*i, -8 = -a - 2*i. Let t(l) = -25*l - 45. Let x(z) = a*t(z) - 5*r(z). Solve x(d) = 0.
-3
Let z(f) = -f**3 - 11*f**2 - 10*f + 2. Let n = -2 - 8. Let l be z(n). Factor -6*m**2 + m + 3*m**3 - l*m + 4*m.
3*m*(m - 1)**2
Let v(x) be the second derivative of -5*x**7/126 + x**6/18 + 23*x**5/12 - 5*x**4/36 - 155*x**3/9 - 100*x**2/3 + 536*x. Determine a, given that v(a) = 0.
-4, -1, 2, 5
Let h(z) be the third derivative of z**2 + 0*z**5 - 1/350*z**7 + 0 + 1/100*z**6 + 1/10*z**3 - 1/20*z**4 + 0*z. Suppose h(c) = 0. What is c?
-1, 1
Let m = 1/204 + 401/1428. Factor 8/7*d + m*d**2 + 6/7.
2*(d + 1)*(d + 3)/7
Suppose -2*b = 2*z - 42, 42 = -0*z + 2*z - 4*b. Let g be (z/(-14))/((-6)/40). Let 2*f**4 - f - 16*f**5 + 14*f**5 + 6*f**3 + 5*f - g*f**2 = 0. Calculate f.
-2, 0, 1
Factor 54/5 - 2/5*z**2 + 52/5*z.
-2*(z - 27)*(z + 1)/5
Suppose -7*y + 1235 = 12*y. Let k be 250/y + 24/(-13) +