
-n*(n - 1)**2*(11*n + 2)/9
Let x(l) be the second derivative of -l + 34/3*l**3 - 6*l**2 + 5 + 3/5*l**5 - 7*l**4 + 8/15*l**6. Factor x(g).
4*(g - 1)**2*(g + 3)*(4*g - 1)
Suppose -4*v + 8 = 0, 0 = -12*h + 13*h + 4*v - 8. What is i in 0*i**3 + h*i + 0*i**2 + 0 + 15/7*i**5 - 3/7*i**4 = 0?
0, 1/5
Let r(v) = 68*v**2 + 326*v - 34. Let u(w) = w - 1. Let b(d) = -r(d) - 6*u(d). Find s such that b(s) = 0.
-5, 2/17
Suppose 7*r - 234 = -2*r. Let 2*z**2 + 72*z - 7*z**3 - 13*z**3 + r*z**2 + 4*z**4 - 84*z = 0. Calculate z.
0, 1, 3
Let b(f) be the third derivative of f**8/1344 + f**7/504 - f**6/144 - f**5/24 - f**4/2 - 24*f**2. Let n(x) be the second derivative of b(x). Factor n(q).
5*(q - 1)*(q + 1)**2
Let o(l) be the first derivative of -l**4/2 + 164*l**3/3 - 1681*l**2 + 99. Factor o(j).
-2*j*(j - 41)**2
Let l be 56/(-42)*6/(-4). Solve 10*b**l - 5*b**2 + 15*b - 2*b**2 = 0 for b.
-5, 0
Suppose -20*b + 18*b + 12 = 0. Let f = 3211 + -6275/2. Factor -b - f*z**2 + 42*z.
-3*(7*z - 2)**2/2
Let k(p) be the second derivative of -p**7/4200 - p**6/900 - p**5/600 - 7*p**3/6 - 14*p. Let c(t) be the second derivative of k(t). Factor c(d).
-d*(d + 1)**2/5
Let i(g) be the second derivative of 5*g**7/42 + g**6/2 - 5*g**5/4 - 5*g**4/4 + 10*g**3/3 + 61*g + 1. Factor i(p).
5*p*(p - 1)**2*(p + 1)*(p + 4)
Let d = -16424784/149435 + 13252/121. Let a = 2/247 - d. Determine c so that -a*c**3 + 6/5*c + 4/5 + 0*c**2 = 0.
-1, 2
Let y be (-33)/(-77) - 55/847. Determine z, given that -2/11*z**2 - y*z**3 + 0 + 0*z = 0.
-1/2, 0
Let n(x) be the second derivative of -1/10*x**5 + 0 - 20*x - 8/9*x**2 - 28/27*x**3 + 17/27*x**4. Determine c, given that n(c) = 0.
-2/9, 2
Let d(f) = 3*f + 209. Let l be d(-69). Solve 3/2*s**l + 0 + 3/4*s + 3/4*s**3 = 0 for s.
-1, 0
Let d(h) = -h**3 - 13*h**2 - 18*h + 165. Let p be d(-9). Determine m so that 2 + 50*m**4 + 141/2*m**2 + 205/2*m**p + 20*m = 0.
-1, -2/5, -1/4
Let v(f) be the second derivative of -f + 0 - 2/105*f**6 + 4/35*f**5 + 0*f**3 + 0*f**2 - 1/7*f**4. Determine j, given that v(j) = 0.
0, 1, 3
Let o(i) be the third derivative of i**6/540 - i**5/27 + 23*i**4/108 - 14*i**3/27 + 113*i**2. Suppose o(h) = 0. What is h?
1, 2, 7
Let z(c) = -8*c**2 + 207*c - 5199. Let q(o) = -30*o**2 + 827*o - 20797. Let t(d) = -6*q(d) + 22*z(d). Factor t(m).
4*(m - 51)**2
Suppose 2*k + 272 = -6*k. Let s = k - -38. Solve 10/3*z**2 + 6*z + 4/3 - 6*z**3 - 14/3*z**s = 0 for z.
-1, -2/7, 1
Let c be ((-32)/(-28))/((96/40)/2). Let -c - 2/3*j - 2/21*j**2 = 0. What is j?
-5, -2
Let a(z) be the second derivative of z**4/90 + 19*z. Determine f so that a(f) = 0.
0
Let p(i) be the second derivative of -10*i**3 + 27*i + 0 - 7/3*i**4 - 4*i**2. Factor p(a).
-4*(a + 2)*(7*a + 1)
Let c(z) be the second derivative of -3*z**5/25 - z**4/15 + 11*z**2/2 + 11*z. Let f(s) be the first derivative of c(s). Factor f(q).
-4*q*(9*q + 2)/5
Let k be 3*2*35/(-42) - (-6 + -1). Solve -7/4*x - 5/4*x**3 + 1/4*x**4 + 1/2 + 9/4*x**k = 0.
1, 2
Let b(a) be the second derivative of -a**6/30 - 3*a**5/8 - 7*a**4/24 - 9*a - 8. Factor b(g).
-g**2*(g + 7)*(2*g + 1)/2
Let s = -92 - -1200/13. Factor -2/13*w**3 + s*w**2 + 0 + 0*w.
-2*w**2*(w - 2)/13
Let x(v) = 3*v**2 - 3*v + 2. Let j be x(0). Factor 1/2 - 1/4*a - 1/4*a**j.
-(a - 1)*(a + 2)/4
Let a(p) be the first derivative of -798*p**4 - 48*p**2 + 976/3*p**3 + 28 + 686/3*p**6 + 588*p**5 + 0*p. Solve a(g) = 0 for g.
-3, 0, 2/7
Let h = 1/4513 + 94769/18052. Find s such that 9/8*s**2 + 3 + h*s = 0.
-4, -2/3
Factor 3/8*y + 25/8*y**2 + 0.
y*(25*y + 3)/8
Let p(w) be the third derivative of w**6/40 - 19*w**5/10 - 121*w**4/8 - 41*w**3 + 14*w**2 - 5. Suppose p(x) = 0. What is x?
-2, -1, 41
Let f(q) = 18*q**3 - 148*q**2 + 77*q + 5. Let g(u) = -56*u**3 + 444*u**2 - 232*u - 16. Let i(k) = -16*f(k) - 5*g(k). Determine z, given that i(z) = 0.
0, 1/2, 18
Let n(u) be the first derivative of 49*u**4/4 - 6202*u**3/3 + 1766*u**2 - 504*u - 4. Factor n(h).
(h - 126)*(7*h - 2)**2
Let g(x) be the third derivative of x**6/40 - 11*x**5/10 + 121*x**4/8 + 95*x**2. Let g(k) = 0. What is k?
0, 11
Suppose -3195 = 24*c - 3267. Find b, given that -7/2*b - 1 - b**c - 7/2*b**2 = 0.
-2, -1, -1/2
Let a(i) be the first derivative of i**7/1260 - i**6/225 + i**5/225 - i**3 + 8*i - 39. Let n(m) be the third derivative of a(m). Let n(x) = 0. Calculate x.
0, 2/5, 2
Factor 1/5*m**4 + 14/5*m**2 + 0 + 8/5*m + 7/5*m**3.
m*(m + 1)*(m + 2)*(m + 4)/5
Let p(v) = -7*v**2 + 18*v - 4. Suppose -j = -a - 3*a + 12, -5*j + 4*a = -4. Let u(l) = -8*l**2 + 19*l - 3. Let m(r) = j*u(r) - 5*p(r). Factor m(f).
(f - 4)*(3*f - 2)
Suppose -g = 2*q - 1 - 6, 3*g = 5*q - 34. Factor 4*t - 11 + q*t**3 + 5*t**2 + 6 - 9*t.
5*(t - 1)*(t + 1)**2
Let b be (1 + 1 + -12)/(-1). Suppose -6*n + 4*n = -b. Determine d so that 2 - 9*d - d**4 - 11*d**3 + 19*d**2 + n*d**4 - d**4 - 4*d**2 = 0.
2/3, 1
Let j be (0*(-3)/21)/(3 + -5). Let k(b) be the first derivative of 0*b - 6 + j*b**3 + 1/24*b**4 - 1/12*b**2. Factor k(p).
p*(p - 1)*(p + 1)/6
Let y(l) = -15*l**3 - 150*l**2 - 128*l - 7. Let f(j) = 20*j**3 + 200*j**2 + 171*j + 9. Let d(u) = -7*f(u) - 9*y(u). Solve d(t) = 0 for t.
-9, -1, 0
Suppose 0 = -5*v + 40 - 30. Suppose -v*t + 4 = -0*t. Determine z, given that 2/13 + 2/13*z**t + 4/13*z = 0.
-1
Let -1/7*b**3 + 15/7*b**2 + 17/7 + 33/7*b = 0. Calculate b.
-1, 17
Suppose 3*z + 720 = -4*u + z, 0 = -5*u - 3*z - 900. Let t be 1/(-7) - u/84. Factor -3*r - 9*r**t + 6*r**2 + 0*r.
-3*r*(r + 1)
Find w such that -2059*w**2 + 3*w**3 + 96*w + 1077*w**2 + 1024*w**2 - 384 = 0.
-8, 2
Let o(c) be the second derivative of c**6/30 + c**5/5 + c**4/3 - 78*c. Factor o(j).
j**2*(j + 2)**2
Let o(a) = a**3 - a**2 + a - 1. Let t be o(0). Let x be -2*12/56 - 1/t. Determine p, given that -6/7*p - x*p**2 + 6/7*p**3 + 4/7 = 0.
-1, 2/3, 1
Find m, given that -413*m**2 - 415*m**2 + 833*m**2 + 2880 + 240*m = 0.
-24
Let g(v) be the third derivative of -v**7/280 + v**6/60 + v**5/40 - v**4/4 - 4*v**3/3 - 10*v**2. Let m(n) be the first derivative of g(n). Factor m(r).
-3*(r - 2)*(r - 1)*(r + 1)
Let b(x) be the third derivative of -1/30*x**6 + 1/6*x**4 - 1/42*x**7 - 21*x**2 + 0*x + 0 - 2/3*x**3 + 1/168*x**8 + 11/60*x**5. Let b(j) = 0. Calculate j.
-1, 1/2, 2
Let w(r) be the third derivative of -r**6/60 + 2*r**5/3 - 77*r**4/12 - 242*r**3/3 + 166*r**2. Factor w(t).
-2*(t - 11)**2*(t + 2)
Let k(c) be the third derivative of c**6/30 + 16*c**5/15 + 15*c**4/2 - 108*c**3 - 8*c**2. Factor k(w).
4*(w - 2)*(w + 9)**2
Let m(r) be the first derivative of -r**6/24 + r**5/20 + r**4/16 - r**3/12 - 62. Factor m(u).
-u**2*(u - 1)**2*(u + 1)/4
Let x(u) = -u**2 - u. Let a(y) = -3*y**2 + 3. Let s(f) = 3*a(f) - 15*x(f). Let s(n) = 0. Calculate n.
-3/2, -1
Let n(g) = g**3 - 8*g**2 + 9*g - 10. Let m = 15 + -8. Let x be n(m). Solve -k + k**4 - 2*k**4 - k**x - k**3 - 4*k**2 - 4*k**3 = 0.
-1, -1/2, 0
Let f(j) = j**3 + 5*j**2 + 2*j - 3. Let i be f(-4). What is b in 6*b - 4*b + b**4 + i*b**2 - 8*b**2 = 0?
-2, 0, 1
Let a(f) be the first derivative of 4*f**3 + 0*f**2 - 1/480*f**6 - 5 + 0*f + 1/8*f**4 + 0*f**5. Let t(x) be the third derivative of a(x). What is p in t(p) = 0?
-2, 2
Let c = -443/2 - -223. Let h(s) be the second derivative of 0 + 3*s**2 - 6*s + c*s**3 + 1/4*s**4. What is t in h(t) = 0?
-2, -1
Let r(x) be the third derivative of x**5/60 - x**4/6 + x**3/2 - x**2 + 34*x. Factor r(s).
(s - 3)*(s - 1)
Factor 76*v**2 - 2*v**3 - 111*v + 3*v + 6*v**3 + 588*v + 1008.
4*(v + 6)**2*(v + 7)
Let d = -66 - -75. Let r be 1 + 2 + 3/d*-3. Factor 3/5*j + 2/5 - 1/5*j**r - 1/5*j**4 - 3/5*j**3.
-(j - 1)*(j + 1)**2*(j + 2)/5
Let 35 + 69/2*v - 1/2*v**2 = 0. What is v?
-1, 70
Let j(a) be the first derivative of 6 - 3/2*a**2 - 1/12*a**3 - 9*a. What is t in j(t) = 0?
-6
Find x such that 41*x**2 + 46*x**2 + x**5 - 2*x**3 - 87*x**2 + x**4 = 0.
-2, 0, 1
Let b(u) = -u**3 - 11*u**2 - 9*u + 14. Let o be b(-10). Suppose 2 = -o*m + a + 10, -2*a = 0. Determine t so that -8 - t + 7*t - 6*t**m + t**3 + 6*t = 0.
2
Factor -5*w**4 + 81*w + 70*w - 61*w - 25*w**3 - 5*w**2 + 90 + 15*w.
-5*(w - 2)*(w + 1)*(w + 3)**2
Let m(d) be the third derivative of d**7/1365 + d**6/39 + 33*d**5/130 - 5*d**4/39 - 100*d**3/39 - 11*d**2. Solve m(h) = 0.
-10, -1, 1
Let x(y) be the first derivative of -y**7/42 - y**6/8 - y**5/12 + 5*y**4/8 + 5*y**3/3 + 7*y**2 + 4. Let n