4 + 5*v**5.
5*(v - 1)**4*(v + 5)
Let r(h) be the second derivative of 3/100*h**5 - 1/60*h**4 + 1/210*h**7 - 2*h + 0*h**3 - 1/50*h**6 + 0*h**2 + 0. Factor r(v).
v**2*(v - 1)**3/5
Let r(u) = u**2 + 6*u - 16. Let b be r(-9). Factor 8*i**3 + b*i**2 - 14*i**3 + 3*i - 5*i**2 + 9*i**3.
3*i*(i + 1)**2
Factor 4/9*l**2 + 2/9*l**3 - 4/9 - 2/9*l.
2*(l - 1)*(l + 1)*(l + 2)/9
Factor -24320 - 129*f**4 + 25463*f - 14*f**4 + 5*f**5 + 21*f**4 - 53*f**4 - 10400*f**2 + 2000*f**3 + 137*f.
5*(f - 19)*(f - 4)**4
Suppose 2*p = 80*g - 65*g - 20, 5*p = 3*g - 50. Suppose 284/5*n**3 - 40*n**2 + g + 48/5*n - 30*n**4 + 18/5*n**5 = 0. Calculate n.
0, 2/3, 1, 6
Let z(w) be the second derivative of 5*w**7/42 + 4*w**6/3 + 4*w**5 + w + 43. Factor z(u).
5*u**3*(u + 4)**2
Let r(c) be the second derivative of c**7/189 - 4*c**6/135 + c**5/90 + 5*c**4/27 - 4*c**3/27 - 8*c**2/9 + 5*c + 1. Factor r(d).
2*(d - 2)**3*(d + 1)**2/9
Let q(p) = -5*p**3 + 4*p**2 + 7*p. Let o(m) = -4*m**3 + 3*m**2 + 5*m. Let y(v) = 6*o(v) - 4*q(v). Determine u so that y(u) = 0.
-1/2, 0, 1
Find f, given that 16/5*f + 16/5*f**4 + 78/5*f**3 - 2*f**5 + 0 + 68/5*f**2 = 0.
-1, -2/5, 0, 4
Let m be (-8 + 8)/(12/4). What is p in 63/5*p**3 + 4/5*p - 49/10*p**4 + m - 6*p**2 = 0?
0, 2/7, 2
Suppose -7*j + 9 = -12. Factor -j*g**3 + 11*g**4 + 57*g**2 + 28*g + 55*g**3 + 4 + 3*g**2 + 5*g**4.
4*(g + 1)**3*(4*g + 1)
Let l(n) be the first derivative of -3/4*n**2 - 3/32*n**4 + 3 - 1/2*n**3 + 0*n. Solve l(p) = 0 for p.
-2, 0
Let m be (1 + 15/(-25))/((-21)/(-15)). Let k(i) be the first derivative of m*i**2 + 2/21*i**3 + 6 + 0*i. Factor k(c).
2*c*(c + 2)/7
Suppose 2336*i = 2282*i. Find r, given that 0*r + 2/3*r**3 - 1/3*r**2 + i = 0.
0, 1/2
Find l, given that 0*l + 4*l**2 - 158/5*l**3 + 32/5*l**5 + 304/5*l**4 + 0 = 0.
-10, 0, 1/4
Let o(w) = -12*w**3 + 17*w**2 + 18*w - 11. Let b(x) = -x**3 + x**2 + x - 1. Let v(u) = -22*b(u) + 2*o(u). Factor v(s).
-2*s*(s - 7)*(s + 1)
Let j(d) = -2*d**2 + d + 11. Let s be j(7). Let z be (-4)/(3 + s/15). Determine u, given that -z*u - 18/7*u**2 - 8/7*u**3 - 2/7 = 0.
-1, -1/4
Factor 99467 - k**2 - 99472 + 6*k**2.
5*(k - 1)*(k + 1)
Let c(j) be the first derivative of -2*j**5/45 - j**4/6 + 14*j**3/27 + 5*j**2/3 - 4*j - 256. Let c(n) = 0. What is n?
-3, 1, 2
Let a(i) = -33*i**2 - 296*i + 44. Let f(x) = x + 2. Let h(d) = a(d) + 5*f(d). Factor h(v).
-3*(v + 9)*(11*v - 2)
Let k(o) be the first derivative of -5*o**6/2 - 54*o**5/5 - 51*o**4/4 + 6*o**2 - 6. Let k(n) = 0. Calculate n.
-2, -1, 0, 2/5
Let b(t) be the third derivative of t**5/30 + 23*t**4/12 + 710*t**2. Factor b(i).
2*i*(i + 23)
Suppose -105 = -o - 23. Determine c, given that -40*c**2 - 37*c**2 + o*c**2 + 25*c = 0.
-5, 0
Determine v so that v**2 + 2/3*v**3 + 2/3*v + 1/6*v**4 + 1/6 = 0.
-1
Find i such that 4/3*i**5 - 70/9*i**4 - 10/9 + 80/9*i**2 + 4*i**3 - 16/3*i = 0.
-1, -1/6, 1, 5
Let g(s) be the first derivative of -1/3*s**3 + 1/4*s**2 + 0*s - 29 + 1/8*s**4. Let g(f) = 0. Calculate f.
0, 1
Let u(v) be the third derivative of -343*v**6/60 - 49*v**5/2 - 175*v**4/4 - 125*v**3/3 + 50*v**2 - 2*v. Determine q so that u(q) = 0.
-5/7
Factor 88/3*c - 30 + 2/3*c**2.
2*(c - 1)*(c + 45)/3
Let a = -703/5 - -4936/35. Find h, given that -a*h**3 + 3/7*h + 9/7 - 9/7*h**2 = 0.
-3, -1, 1
Let r(j) be the third derivative of j**5/12 - 5*j**4/6 - 25*j**3/6 - 95*j**2. Solve r(q) = 0.
-1, 5
Let v(c) = -4*c**3 - 159*c**2 - 114*c + 38. Let x(g) = 3*g**3 + 159*g**2 + 116*g - 36. Let y(w) = 4*v(w) + 3*x(w). Factor y(q).
-(q + 1)*(q + 22)*(7*q - 2)
Let x = 26864/3 - 8954. Solve -x*v**2 + 2/3*v + 0 = 0 for v.
0, 1
Let g(b) be the second derivative of b**4/12 + 7*b**3/6 - 4*b**2 - 43*b. Determine q, given that g(q) = 0.
-8, 1
Let a be (-2)/20*-4 - 282/(-45). Let b = -134/21 + a. Suppose -2/7*d**2 - b - 4/7*d = 0. Calculate d.
-1
Let p(a) = a - 18. Suppose 41*v = 44*v - 54. Let t be p(v). Factor -2/5*r**2 + t + 0*r.
-2*r**2/5
Let p be ((-6)/(-4))/(10/30) - 24/6. What is u in p*u**3 + 0*u - u**2 + 0 = 0?
0, 2
Suppose -3*x = 5*z - 4*x - 75, -5*z + 3*x = -75. Let v = 19 - z. Find i such that 0*i**2 - 11*i**2 + i**2 + 40*i**v + 4*i - 34*i**3 = 0.
-2/5, 0, 1/4, 1
Suppose -3/7*b**3 + 0 + 2/7*b - 1/7*b**4 + 1/7*b**2 + 1/7*b**5 = 0. What is b?
-1, 0, 1, 2
Let k(q) = q + 0*q + 3*q + 0*q + 2. Let b be k(0). Find m, given that 2/3*m**3 + 0 - b*m**2 + 4/3*m = 0.
0, 1, 2
Let g(i) be the second derivative of i**4/20 - 3*i**3/5 + 27*i**2/10 + 2*i - 7. Factor g(s).
3*(s - 3)**2/5
Let z(o) be the second derivative of -o**4/20 + o**3/10 + 9*o**2/5 - 238*o. What is l in z(l) = 0?
-2, 3
Let d(c) be the third derivative of c**6/1440 + c**5/480 - c**4/16 + 13*c**3/6 + 32*c**2. Let i(z) be the first derivative of d(z). Factor i(l).
(l - 2)*(l + 3)/4
Suppose 1/8*j**2 + 2738 + 37*j = 0. What is j?
-148
Let h(v) be the first derivative of v**3/15 - 17*v**2/5 + 64*v/5 - 239. Determine q, given that h(q) = 0.
2, 32
Suppose 5*h = -2*l + 2*h - h, 3*l - 3*h = 0. Factor n**2 + 9/2*n**5 + l + 5/2*n**3 - 8*n**4 + 0*n.
n**2*(n - 1)**2*(9*n + 2)/2
Let a = -61 + 63. Let m(v) be the first derivative of 8 + 0*v + 0*v**a - 1/14*v**4 + 0*v**3. Factor m(g).
-2*g**3/7
Suppose -2*q + 3*p + 10 = -8, -3*q + 2*p = -22. Suppose 3*w - q*w = 2*w. Factor 2/3*c - 2/3*c**3 - 2/3*c**2 + 2/3*c**4 + w.
2*c*(c - 1)**2*(c + 1)/3
Find l, given that -226*l**3 - 6*l**2 + 7*l**2 - 4*l**4 + 3*l**2 - 38*l**3 + 264*l = 0.
-66, -1, 0, 1
Let o(c) be the second derivative of -c**5/40 + 5*c**4/8 + c**3/12 - 15*c**2/4 + 203*c. Suppose o(v) = 0. What is v?
-1, 1, 15
Let v be ((-8)/(-1080))/(2/3). Let t(g) be the third derivative of -1/315*g**7 - 2*g**2 + v*g**5 + 0*g + 0 - 1/36*g**4 + 1/180*g**6 + 0*g**3. Factor t(z).
-2*z*(z - 1)**2*(z + 1)/3
Let s(r) be the third derivative of -2*r**5/15 - 2*r**3/3 + 6*r**2. Let m(a) = -15*a**2 - 7. Let u(g) = -6*m(g) + 11*s(g). Factor u(n).
2*(n - 1)*(n + 1)
Let q be (175/45)/(-5) + 10/10. Let -4/9*j**2 + 16/9 - 8/9*j + q*j**3 = 0. Calculate j.
-2, 2
Suppose 3*n - 10 = 4*s, -4*n - 17*s = -12*s - 34. Let t be (-147)/63 - n/(-2). Suppose -8/3*q - 22/9*q**2 - t*q**3 - 8/9 = 0. Calculate q.
-2, -1, -2/3
Let n(a) be the third derivative of -a**5/210 - 67*a**4/84 - 22*a**3/7 - 334*a**2 - a. What is o in n(o) = 0?
-66, -1
Let a(l) be the first derivative of 14*l**3/3 - 25*l**2/12 - l/6 + 25. Solve a(o) = 0 for o.
-1/28, 1/3
Suppose -3*i - s = -21, 5*s - 29 + 8 = -3*i. Let z be ((-32)/56)/(1/i*-2). What is j in 1/3*j**z - 1/3*j**3 + 5/3*j + 1 = 0?
-1, 3
Factor 0 + 1/4*m**4 - 1/4*m**3 - m**2 + m.
m*(m - 2)*(m - 1)*(m + 2)/4
Let v(m) be the second derivative of m**8/336 - m**7/21 + 2*m**6/9 - 3*m**3/2 - 5*m. Let r(f) be the second derivative of v(f). Let r(j) = 0. What is j?
0, 4
Let r = -313094/207 - -25095/23. Let m = r - -423. Factor -10/9*s**2 - 2/3 + 2/9*s**3 + m*s.
2*(s - 3)*(s - 1)**2/9
Let h = 5667/164 - -90/41. Let v = h - 36. What is y in 3/2*y**2 + 0*y - v*y**3 + 0 = 0?
0, 2
Solve 10280*h + 16*h**2 + 10*h**3 - 5132*h - 5140*h + 2*h**4 = 0.
-2, -1, 0
Let v be 111/18 - 4/24. Suppose 4 = -5*h + v*h. Factor 1/2*p**h - 1/2 + 0*p**2 + p**3 - p.
(p - 1)*(p + 1)**3/2
Let n be (-26)/((-520)/(-340)) + 17. Factor n + 1/6*l**3 + 1/3*l**2 + 0*l.
l**2*(l + 2)/6
Factor 14*a**2 + 33*a + 13*a**2 + 12*a**2 - 42*a**2 + 42 + 6*a.
-3*(a - 14)*(a + 1)
Suppose l = 5, -4*t + 5*t + 3*l - 11 = 0. Let k be ((-6)/9)/((-16)/(-12))*t. Factor -3/5*d + 3/5*d**k + 0.
3*d*(d - 1)/5
Suppose -5*o + 19 + 1 = 0, -r - o + 6 = 0. Factor -11*n**2 + 8*n**2 - n + 9*n - 12 - 4*n**4 + 19*n**r - 8*n**3.
-4*(n - 1)**2*(n + 1)*(n + 3)
Let p(q) be the first derivative of -11*q**6/54 - q**5/9 + q**4/6 + 84. Solve p(z) = 0 for z.
-1, 0, 6/11
Let y(w) be the first derivative of 2*w**3/3 - 47*w**2/2 - 25*w + 13. Let l(t) = t**2 - 16*t - 8. Let u(h) = -11*l(h) + 4*y(h). Factor u(v).
-3*(v + 2)**2
Factor 0 - 1/4*c**3 + 0*c - 1/2*c**2.
-c**2*(c + 2)/4
Factor 3/8*o**3 + 0 + 21/2*o**2 + 0*o.
3*o**2*(o + 28)/8
Factor -80 - 64*x - 4*x**2 + x**2 - 2*x**2 + 14*x.
-5*(x + 2)*(x + 8)
Let q(t) = t**3 + 11*t**2 - 21*t - 229. Let p be q(-11). Solve 12/17*g**3 + 8/17 + 24/17*g + 26/17*g**p + 2/17*g**4 = 0.
-2, -1
Let d(u) be the third derivative of 0 - 1/336*u**8 + 0*u + 0*u**4 - 1/120*u**6 - 1/105*u**7 + 11*u**2 + 0*u**3 + 0*u**5. Determine s, given that d(s) = 0.
-1, 0
