j**2 + 1. Let v(i) = 3*d(i) + y(i). Factor v(a).
-a*(a - 8)*(a + 2)**2
Suppose -2*j - h = -19, -h - 30 = -j - 4*j. Suppose -9 = -4*p + j. Let -2*g**p + 18/5*g**2 - 8/5 + 16/5*g**3 - 16/5*g = 0. Calculate g.
-1, -2/5, 1, 2
Let o(v) be the second derivative of -v**6/45 - v**5/3 + v**4/18 + 10*v**3/9 - 8*v - 7. Suppose o(w) = 0. Calculate w.
-10, -1, 0, 1
Let i(n) be the second derivative of -n**4/30 + 2*n**3/3 - 4*n + 16. Factor i(b).
-2*b*(b - 10)/5
Let q(n) be the first derivative of -n**7/525 - n**6/150 + n**5/150 + n**4/30 - 8*n**2 + 12. Let c(b) be the second derivative of q(b). Let c(y) = 0. What is y?
-2, -1, 0, 1
Let o be (-6)/(23/(276/(-126))). Factor -4/7*h**4 - 8/7*h**3 + 0*h + 0 - o*h**2.
-4*h**2*(h + 1)**2/7
Suppose 4*s = -4*o, -10*s - 4 = -11*s - 3*o. Let w be (s - -2) + (-4)/(-6)*3. Determine r so that 2*r - w*r**3 + 4/3*r**2 - 4/3 = 0.
-1, 2/3, 1
Let k(r) be the third derivative of r**6/280 + r**5/70 - 5*r**4/14 + 12*r**3/7 + 22*r**2 + 2. Factor k(c).
3*(c - 2)**2*(c + 6)/7
Suppose -19 = -4*f + 3*b, 0 = b + 4*b + 5. Let h be -1 + ((-45)/(-27))/((-1)/(-3)). Determine c so that h - 3*c**2 - 5 + f = 0.
-1, 1
Suppose 0 = -m + 2*m - 2. Let q = m - -1. Factor 0 - 4*j**2 + q + 1.
-4*(j - 1)*(j + 1)
Let d(r) be the second derivative of -r**6/96 + r**5/24 - 5*r**4/96 - 3*r**2 - 9*r. Let q(c) be the first derivative of d(c). Let q(f) = 0. Calculate f.
0, 1
Let a be ((-6)/3)/((-2)/(-23)). Let g = a + 25. Solve 39*y**3 + 3*y**5 + 18*y**4 + 30*y**g + 9*y**2 + 11*y - 3*y**2 + y = 0.
-2, -1, 0
Let m(v) be the third derivative of v**8/15680 - v**6/560 + v**5/140 - 7*v**4/24 + 20*v**2. Let z(p) be the second derivative of m(p). Factor z(y).
3*(y - 1)**2*(y + 2)/7
Let w(a) be the third derivative of -a**8/16 + 8*a**7/35 + 3*a**6/40 - 4*a**5/5 + a**4/2 - 4*a**2 + 76*a. Let w(t) = 0. Calculate t.
-1, 0, 2/7, 1, 2
Let m(h) be the second derivative of -h**3/3 - 3*h**2 - 7*h. Let p be m(-5). Suppose 7*n - n**2 - 5*n - p + 2*n = 0. What is n?
2
Let o be -1*(47/(-77) - (-42)/231). Factor 108/7 + 36/7*w + o*w**2.
3*(w + 6)**2/7
What is r in 2*r**3 + 25*r - 2*r**2 + r + 0*r**3 - 6 - 35*r - r = 0?
-1, 3
Let b(t) be the third derivative of -t**9/52920 + t**8/11760 + 5*t**4/4 + 17*t**2. Let d(f) be the second derivative of b(f). Let d(c) = 0. What is c?
0, 2
Let t(b) be the first derivative of 0*b + 0*b**3 + 29 - 1/3*b**6 + 0*b**2 + 1/2*b**4 + 0*b**5. Find f such that t(f) = 0.
-1, 0, 1
Let l be ((-295)/(-25))/1 - 11. Factor 0*k + l*k**4 + 0 + 0*k**3 - 4/5*k**2.
4*k**2*(k - 1)*(k + 1)/5
Let k(p) = 6*p**2 + 4*p - 1. Let j be k(-3). Suppose -3*w + 46 = -j. Factor -6*l + 2*l**3 - 4*l**3 - 37*l**2 + w*l**2.
-2*l*(l + 1)*(l + 3)
Let h(t) be the first derivative of -t**4/3 - 4*t**3/9 + 20*t**2/3 - 32*t/3 - 84. Solve h(v) = 0.
-4, 1, 2
Let v(y) be the first derivative of 2*y**3/33 + 208*y**2/11 + 21632*y/11 - 9. Find a, given that v(a) = 0.
-104
Let q(n) = 6*n**2 - 6*n. Let l = 0 + 6. Suppose -l*g - 7 - 23 = 0. Let x(r) = -12*r**2 + 11*r + 1. Let c(m) = g*q(m) - 3*x(m). Factor c(j).
3*(j - 1)*(2*j + 1)
Suppose -23 = t + 11*k - 6*k, 3*k = 4*t - 23. Factor -5*r**3 + 66*r - 5*r**t - 1 + 1 - 56*r.
-5*r*(r - 1)*(r + 2)
Let d(r) be the second derivative of 8/9*r**3 - 1/15*r**5 + 2/9*r**4 - 1/45*r**6 + 5*r + 0*r**2 + 0. Find g, given that d(g) = 0.
-2, 0, 2
Let z(w) be the second derivative of -1/4*w**4 + 1/14*w**7 + 0 + 0*w**3 - 3/10*w**6 + 0*w**2 + 24*w + 9/20*w**5. Factor z(l).
3*l**2*(l - 1)**3
Let u(m) = -10*m**3 + 78*m**2 - 594*m + 1378. Let q(z) = -19*z**3 + 157*z**2 - 1187*z + 2755. Let r(x) = -6*q(x) + 11*u(x). Determine p so that r(p) = 0.
7
Suppose -5*m = 5*p - 410, -p = 2 - 1. Let i = m - 81. Solve -2/5*f**5 - 4/5*f**3 + 0*f + 0*f**i + 6/5*f**4 + 0 = 0 for f.
0, 1, 2
Let o(j) be the second derivative of -j**6/90 + j**5/60 + j**4/4 - j**3/2 - 321*j. Factor o(s).
-s*(s - 3)*(s - 1)*(s + 3)/3
Let n = -36124 + 36129. Let 0*m**2 + 0*m + 12/7*m**3 - 3*m**n + 0 - 36/7*m**4 = 0. What is m?
-2, 0, 2/7
Let t(v) be the third derivative of -v**7/630 + v**6/120 - v**5/90 + 16*v**2. Factor t(x).
-x**2*(x - 2)*(x - 1)/3
Find w such that 94/3*w**2 + 8 + 2/3*w**4 + 80/3*w + 14*w**3 - 2/3*w**5 = 0.
-2, -1, 6
Let d(a) be the third derivative of -a**5/40 - 3*a**4/4 - 11*a**3/4 + 69*a**2. Let d(n) = 0. Calculate n.
-11, -1
Let c(d) be the first derivative of d**3/3 - 2*d**2 + 62. Solve c(x) = 0.
0, 4
Let y(s) be the first derivative of 0*s**2 - 1/8*s**4 - 1/5*s**5 + 0*s**3 + 0*s + 14 - 1/12*s**6. Determine o so that y(o) = 0.
-1, 0
Let r(z) = -z**3 - z**2 - z - 4. Let w be r(0). Let u be (2 - 3)*-7 + w. Factor 4*l**5 + 8*l**4 + 8*l**3 + l**3 - 5*l**u.
4*l**3*(l + 1)**2
Let c(u) be the first derivative of 11 + 2/11*u + 1/11*u**2 - 4/11*u**3. Factor c(i).
-2*(2*i - 1)*(3*i + 1)/11
Let v(t) be the first derivative of t**3 - 6*t**2 - 96*t + 59. Solve v(z) = 0 for z.
-4, 8
Factor 4 - 2*k - 2*k**3 - 3*k + 11*k.
-2*(k - 2)*(k + 1)**2
Let n be ((-16)/20)/(16/10 - 2). Factor -120*m + 294*m**3 - 270*m**3 + n*m**4 + 83 + 18*m**2 + m**4 - 8.
3*(m - 1)**2*(m + 5)**2
Let y(c) = -c**3 + 6*c**2 + c + 1. Let u be y(6). Suppose -2*d = -u + 1. Find h such that -2*h - h + h**4 + 3*h**2 - 6*h**4 + d*h**3 + 2*h**4 = 0.
-1, 0, 1
Determine q, given that -115/3*q**2 - 35/3*q**3 - 100/3*q - 20/3 = 0.
-2, -1, -2/7
Let a(b) be the first derivative of -9/8*b**2 - 1/12*b**3 + 0*b + 35. Solve a(n) = 0.
-9, 0
Suppose 0 = -0*c + 2*c - 10. Let p be (-1750)/350 + -1 + (-88)/(-14). Find h such that -p*h**c + 0*h + 0*h**2 - 4/7*h**3 + 6/7*h**4 + 0 = 0.
0, 1, 2
Let g(b) = -b + 17. Let f be g(12). Suppose 4*p - p - 4*w - 22 = 0, 4*w + 6 = -f*p. Find t such that 2*t**3 - 2 + 7*t - 3*t**3 - 4*t - 2*t**3 + 2*t**p = 0.
-1, 2/3, 1
Factor 3/4*j**2 - 9 + 3/4*j.
3*(j - 3)*(j + 4)/4
Let m(c) = -c**2 - 8 + 2 + 2*c**2 + 5. Let i(f) = 12*f**2 - 39*f + 9. Let k(y) = -i(y) + 3*m(y). Suppose k(o) = 0. What is o?
1/3, 4
Find d such that 32768 - 5*d**5 + 5957*d**3 - 55296*d - 9613*d**3 + d**5 + 25984*d**2 + 204*d**4 = 0.
1, 2, 16
Let z(i) = 19 - 9 - 11 + i**5 + i**3 - i**2. Let x(l) = -2*l**5 - 4*l**4 - 4*l**3 + 8*l**2 - 2*l + 4. Let o(m) = x(m) + 4*z(m). What is g in o(g) = 0?
-1, 0, 1
Let y(g) be the second derivative of g**4/114 + 10*g**3/3 + 189*g**2/19 - 85*g. Factor y(i).
2*(i + 1)*(i + 189)/19
Let l(j) be the first derivative of j**6/6 - 3*j**5/25 - j**4/10 + 108. Factor l(r).
r**3*(r - 1)*(5*r + 2)/5
Let x(t) = 2*t**2 - 2. Let l(w) = -w - 1. Let i(z) = -5*z**2 - 25*z - 20. Let d(m) = i(m) - 25*l(m). Let r(o) = -3*d(o) - 5*x(o). Find u, given that r(u) = 0.
-1, 1
Solve -1982*v**4 - 1983*v**4 + 3962*v**4 - 36*v + 6*v**3 + 14*v**2 + 19*v**2 = 0 for v.
-3, 0, 1, 4
Let n(g) be the second derivative of -4*g**2 - 8*g - 1/600*g**6 - 1/300*g**5 + 1/60*g**4 + 0 + 0*g**3. Let j(w) be the first derivative of n(w). Factor j(h).
-h*(h - 1)*(h + 2)/5
Let g(b) be the second derivative of -35*b**4/12 + 10*b**3/3 + 15*b**2/2 - b + 9. Factor g(l).
-5*(l - 1)*(7*l + 3)
Suppose 54*h + 855 = 963. Suppose 10/3*a**h + 16/15 - 2/5*a**4 + 52/15*a + 8/15*a**3 = 0. Calculate a.
-1, -2/3, 4
Let s(i) = -185*i**2 + 362*i + 7. Let o(c) = 370*c**2 - 723*c - 13. Let p(r) = -3*o(r) - 7*s(r). Factor p(b).
5*(b - 2)*(37*b + 1)
Let f(d) be the second derivative of -3*d**4 + 0 + 21/20*d**5 + 41*d + 3/2*d**3 + 3*d**2. Let f(s) = 0. Calculate s.
-2/7, 1
Let w(f) be the first derivative of -f**5/20 - 3*f**4/8 - f**3 - f**2 + 29. Solve w(l) = 0 for l.
-2, 0
Let -76*x**2 + 1040 + 12*x**3 + 23*x - 175*x - 1104 = 0. What is x?
-1, -2/3, 8
Let y = -17 + 31. Let n be (y/5)/((-14)/(-35)). Factor 34*s**3 - n*s**2 - 38*s**3 - 13*s**2 - 16*s.
-4*s*(s + 1)*(s + 4)
Factor -2*l**4 - 91 - 4*l**2 - 4*l**3 + 91 - 2*l**3.
-2*l**2*(l + 1)*(l + 2)
Let f(q) be the second derivative of -q**4/54 - 2*q**3/9 - 5*q**2/9 + 352*q. Factor f(p).
-2*(p + 1)*(p + 5)/9
Suppose 2*d + h - 8 = 29, -2*h = -3*d + 52. Let g = -16 + d. Suppose 2*p**3 + g*p**3 - 2*p**3 - p**2 + 3*p**2 = 0. Calculate p.
-1, 0
Let v(a) = 2*a - 8. Let r be v(6). Let n = 34 + -30. Factor -r + 4 + 5*k**2 + k - n*k**2.
k*(k + 1)
What is i in 0 - 2/11*i**4 - 4/11*i**3 - 2/11*i**2 + 0*i = 0?
-1, 0
Let h(w) be the first derivative of -w**4/4 + 5*w**3/2 - 6*w**2 - 16*w + 26. Let t(o) be the first derivative of h(o). Factor t(i).
-