?
-1, 0, 1/4
Let d be (-25)/4*-2 + (-12 - -16). Factor 0 - 3*g + d*g**2.
3*g*(11*g - 2)/2
Let g(i) be the second derivative of i**7/70 - 3*i**5/25 + i**4/10 + 3*i**3/10 - 3*i**2/5 - 5*i - 7. Factor g(h).
3*(h - 1)**3*(h + 1)*(h + 2)/5
Suppose 3*o + 19*n + 10 = 15*n, o + 2*n = -6. Factor -2/7*b**o + 4/7 - 2/7*b.
-2*(b - 1)*(b + 2)/7
Let q(z) be the third derivative of z**6/30 + 2*z**5/5 - 25*z**4/6 + 12*z**3 - 8*z**2 + 15*z. Factor q(p).
4*(p - 2)*(p - 1)*(p + 9)
Let b(j) be the second derivative of j**7/21 + 47*j**6/45 + 28*j**5/5 - 98*j**4/9 - 64*j**3 - 256*j**2/3 + 257*j. Solve b(m) = 0.
-8, -1, -2/3, 2
Factor -64 - 293*m - 171*m - 240*m**3 + 44*m**3 - 896*m**2.
-4*(m + 4)*(7*m + 2)**2
Let r(u) be the third derivative of u**4 + 0 + 1/120*u**6 + 2*u**2 + 0*u + 3/20*u**5 + 8/3*u**3. Let r(j) = 0. Calculate j.
-4, -1
Let x(f) be the first derivative of 1/2*f + 1/24*f**3 + 1/4*f**2 + 18. Factor x(v).
(v + 2)**2/8
Let b(f) be the third derivative of -f**6/216 + f**5/72 - 17*f**3/6 - 13*f**2. Let j(q) be the first derivative of b(q). Factor j(w).
-5*w*(w - 1)/3
Let v(m) = -m - 5. Let a be v(-7). Let 24*r**2 + 5*r**4 - 14*r**a + 5*r**3 - 5*r - 4*r**2 - 11*r**2 = 0. What is r?
-1, 0, 1
Let l(n) be the first derivative of -n**5/50 + n**4/5 - 4*n**3/5 + 8*n**2/5 - 12*n - 15. Let x(q) be the first derivative of l(q). Factor x(g).
-2*(g - 2)**3/5
Let x(j) be the first derivative of -4/5*j**5 + 4*j**4 - 11 + 8*j**2 - 8*j**3 - 4*j. Factor x(w).
-4*(w - 1)**4
Let c(y) be the third derivative of y**5/3 + 125*y**4/12 + 35*y**3/2 + 20*y**2. Let a(d) = d**2 + 2*d - 1. Let n(v) = -5*a(v) - c(v). Factor n(w).
-5*(w + 10)*(5*w + 2)
Let s be (6 - 1)/(-5) + (-39)/(-33). Suppose 4/11*g + 6/11 - s*g**2 = 0. Calculate g.
-1, 3
Let p(d) be the third derivative of d**8/30240 - d**7/2520 + d**6/540 + 2*d**5/15 + 10*d**2. Let a(q) be the third derivative of p(q). What is j in a(j) = 0?
1, 2
Let j(n) be the second derivative of n**4/60 + 5*n**3/6 + 23*n**2/5 - 27*n - 2. Factor j(h).
(h + 2)*(h + 23)/5
Let l be 3/(975/2620) - 8. Let m(s) be the first derivative of -1/39*s**6 + 7/13*s**2 + 4/13*s - l*s**5 + 1/13*s**4 + 4 + 16/39*s**3. Factor m(i).
-2*(i - 2)*(i + 1)**4/13
Let x = 49 - 43. Factor -150 + 3*g - g**2 - 27*g + x.
-(g + 12)**2
Let s(g) = -g**2 + 10*g - 2. Let d be s(8). Let i(b) = 6*b + 16. Let k be i(d). Determine t so that k*t**3 - 4*t**2 - 16*t**2 + 77*t**5 - 155*t**4 - 2*t**5 = 0.
0, 2/5, 2/3, 1
Determine i so that -504*i**2 + 305*i - 290 - 22*i + 162*i + 489*i**2 = 0.
2/3, 29
Let q(s) be the second derivative of -s**3 + 0 + s**2 - 1/10*s**5 - 7*s + 1/2*s**4. Factor q(g).
-2*(g - 1)**3
Suppose -20 = -7*s - 6. Let a(r) be the first derivative of -8*r**s - 16*r + 2 - 4/3*r**3. Determine k, given that a(k) = 0.
-2
Let n(s) be the second derivative of -2*s**3 + 4*s**2 + 0 + 7/5*s**5 - 4*s**4 - 31*s + 4/5*s**6. Solve n(r) = 0.
-2, -1/2, 1/3, 1
Let p(d) be the second derivative of -3/80*d**5 - 40*d - 3/16*d**4 + 0 + 0*d**3 + 0*d**2. Factor p(s).
-3*s**2*(s + 3)/4
Let o(i) be the second derivative of -i**8/2520 + i**7/252 - 2*i**6/135 + i**5/45 - 2*i**3 - 7*i. Let j(q) be the second derivative of o(q). Factor j(y).
-2*y*(y - 2)**2*(y - 1)/3
Factor 147/4*l**3 + 33 + 234*l + 1701/4*l**2.
3*(l + 11)*(7*l + 2)**2/4
Let p be 11/3 + 4/(-6). Let q(y) = -y**3 - 12*y**2 + 13*y + 27. Let k be q(-13). Factor -114*v**2 - k*v**4 + 0*v**5 - 75*v**p - 24 - 3*v**5 - 84*v + 3*v**4.
-3*(v + 1)**2*(v + 2)**3
Let h(i) be the first derivative of -3*i**5/10 + 3*i**4/2 - i**3 - 3*i**2 + 9*i/2 + 53. Find j, given that h(j) = 0.
-1, 1, 3
Let y(d) be the first derivative of -d**5/600 - d**4/120 - d**3/60 + 9*d**2/2 + 12. Let q(a) be the second derivative of y(a). Factor q(s).
-(s + 1)**2/10
Suppose -4*l + 12 = -0*l. Let -2*q**4 + 12*q**5 + q**3 + 8*q**5 - 21*q**5 + l*q**3 + 8*q**2 = 0. Calculate q.
-2, 0, 2
Solve -3*b**4 - 2*b**3 + 0*b - 10*b + 21*b**2 - 54 - 3*b**3 - 4*b**3 + 55*b = 0.
-3, 1, 2
Suppose 4*i = 2*i + 6. Factor 2*j**2 + 4*j**2 - i*j**2 + j**4 - 4*j**4.
-3*j**2*(j - 1)*(j + 1)
Let q(a) be the first derivative of -3*a**4/8 - 17*a**3 - 867*a**2/4 - 67. Find o, given that q(o) = 0.
-17, 0
Let x(u) be the third derivative of 0 + 1/112*u**8 - 1/40*u**6 + 0*u + 1/70*u**7 - 22*u**2 + 0*u**3 - 1/20*u**5 + 0*u**4. Factor x(n).
3*n**2*(n - 1)*(n + 1)**2
Let d(a) be the third derivative of -a**5/60 - 7*a**4/24 - 4*a**3/3 - 21*a**2. Let u be d(-5). Factor 4/3*t + 13/3*t**u + 5/3*t**3 - 4/3.
(t + 1)*(t + 2)*(5*t - 2)/3
Suppose 7*q = -92*q + 396. Determine o so that 32/15*o**q - 32/15*o**2 + 0 + 8/15*o - 14/15*o**5 + 2/5*o**3 = 0.
-1, 0, 2/7, 1, 2
Let i(w) = 2*w**3 - 3*w**2 - 2*w + 5. Let q be i(4). Factor q*l + 12*l**4 + 18*l**2 - 69*l + 2*l**5 + 26*l**3 + 6*l**2.
2*l*(l + 1)**2*(l + 2)**2
Let v(o) be the first derivative of 7*o**5/20 + 9*o**4/16 - 10*o**3/3 - 3*o**2/2 + 74. Factor v(k).
k*(k - 2)*(k + 3)*(7*k + 2)/4
Let r be (73/6)/((-528)/(-704)). Factor 32/9 + 2/9*i**5 + 22/9*i**4 + 112/9*i + 86/9*i**3 + r*i**2.
2*(i + 1)**3*(i + 4)**2/9
Let v(z) = -4*z**2 + 112*z - 789. Let q(m) = -2*m + 35. Let h be q(15). Let p(j) = -6*j**2 + 168*j - 1183. Let c(u) = h*p(u) - 7*v(u). Solve c(x) = 0.
14
Let k(i) be the second derivative of -i**7/147 - 4*i**6/105 - 2*i**5/35 + i**4/21 + 5*i**3/21 + 2*i**2/7 + 576*i. Solve k(a) = 0.
-2, -1, 1
Let l = 1345 - 1345. Let b(z) be the second derivative of 1/35*z**5 + l*z**4 + 0*z**2 + 3*z - 2/21*z**3 + 0. Factor b(x).
4*x*(x - 1)*(x + 1)/7
Let g(n) be the second derivative of 3*n**4/4 + 11*n**3/4 + 15*n**2/4 + 108*n. Find a, given that g(a) = 0.
-1, -5/6
Let f(u) = u**3 + u**2 - 1. Let b(a) = -4*a**5 - 36*a**4 - 100*a**3 - 132*a**2 - 84*a - 24. Let t(n) = -b(n) + 4*f(n). Solve t(q) = 0.
-5, -1
Factor -4/3*i**3 - 4/3*i**2 + 2/3*i**5 + 2/3 + 2/3*i + 2/3*i**4.
2*(i - 1)**2*(i + 1)**3/3
Let y(m) = 14*m + 16. Let i(z) = 27*z**2 - z - 9*z**2 - 1 - 19*z**2. Let l(o) = -4*i(o) - 2*y(o). Solve l(k) = 0.
-1, 7
Suppose 228 = 48*g - 44*g. Let m = -55 + g. Solve 3*w**3 + 0 - 48/7*w**m + 12/7*w = 0.
0, 2/7, 2
Let z(j) be the second derivative of -j**7/126 + j**5/30 - j**3/18 + 24*j - 2. Solve z(g) = 0.
-1, 0, 1
Let a(z) be the second derivative of -z**4/12 - 3*z**3/2 - 15*z. Let b(d) = -6*d**2 - 53*d. Let o(h) = -34*a(h) + 6*b(h). Find w such that o(w) = 0.
-6, 0
Let o(a) be the first derivative of 1/3*a**4 - 4/9*a**3 - a**2 + 13 + 2/5*a**5 - 2/3*a + 1/9*a**6. Solve o(b) = 0.
-1, 1
Let f = 4294 - 4294. Find a, given that f*a**2 - 2/13*a**3 + 0 + 0*a**4 + 0*a + 2/13*a**5 = 0.
-1, 0, 1
Let i(t) be the second derivative of 0*t**2 + 0 + 0*t**3 - 3/10*t**5 + 7*t - 1/10*t**6 - 1/4*t**4. Suppose i(f) = 0. Calculate f.
-1, 0
Let h(o) be the second derivative of -o**6/8 - o**5/16 + 5*o**4/6 - 5*o**3/6 - 12*o. Determine p, given that h(p) = 0.
-2, 0, 2/3, 1
Let i be (6/12*(-32)/12)/(6/(-9)). Factor 2/7*u**i - 1/7*u**4 - 1/7*u**3 + 0*u + 0.
-u**2*(u - 1)*(u + 2)/7
Let a(i) be the second derivative of -i**4/6 - i**3/3 + 12*i**2 - 31*i. Suppose a(r) = 0. What is r?
-4, 3
Let n be (9/(-12))/(5/(-320)). Factor 68*f**3 - 75*f**2 - 37*f**2 + n*f - f**4 - 11*f**4.
-4*f*(f - 3)*(f - 2)*(3*f - 2)
Let y(v) be the first derivative of v**4/16 + v**3/4 - 9*v**2/8 - 27*v/4 - 303. Determine u, given that y(u) = 0.
-3, 3
Let o(x) be the second derivative of 1/14*x**4 + 0 - 2/21*x**3 + 0*x**2 - x. Solve o(i) = 0 for i.
0, 2/3
Suppose -2*y + 4*y = 4. Factor -4*g**3 - 13*g**2 + 3*g + 21*g**y - 7*g.
-4*g*(g - 1)**2
Let k = 57 + -54. Let i be k + ((-396)/(-15))/4. Factor -32/5*y**4 + 0 - 18/5*y**2 - i*y**3 - 2/5*y.
-2*y*(y + 1)*(4*y + 1)**2/5
Let f(m) be the first derivative of 0*m**3 + 0*m**2 - 1/15*m**4 + 2/75*m**5 + 7 + 0*m. Determine d so that f(d) = 0.
0, 2
Let i(d) be the third derivative of d**6/360 - d**5/180 + 8*d**2 - 15*d. Determine u, given that i(u) = 0.
0, 1
Let j(m) = 2*m**4 + 5*m**3 + 5*m**2 - 9*m + 3. Let t(h) = -9*h**4 - 20*h**3 - 19*h**2 + 35*h - 13. Let y(q) = 26*j(q) + 6*t(q). Factor y(i).
-2*i*(i - 6)*(i - 1)*(i + 2)
Let s = -39 + 112. Let h = 73 - s. Factor 3/4*d**3 + h + 0*d + 3/4*d**2.
3*d**2*(d + 1)/4
Suppose 2*c = -o, -17*c + 2*o = -22*c. Suppose c*v + 3/5*v**2 - 12/5 = 0. What is v?
-2, 2
Let u(a) be the third derivative of -a**6/60 - 4*a**5/5 - 15*a**4/4 - 22*a**3/3 - 10*a*