.
2/3, 1
Suppose 0 = 3*m + 2*d - 19, 0 = -5*m + 8*d - 5*d. Suppose 1/5*o**4 + 0*o + 2/5*o**m + 0*o**2 + 0 = 0. What is o?
-2, 0
Let m(y) be the first derivative of -47 - 3/5*y**2 - 1/5*y**3 + 24/5*y. Factor m(z).
-3*(z - 2)*(z + 4)/5
Suppose -8*b = -3*b - 25. Suppose -p = -2*g + b*g + 6, -2 = p + g. Solve 0*v + p + 2/5*v**2 = 0.
0
Let k(c) = -6*c**3 + 62*c**2 + 124*c - 175. Let g(o) = -8*o**3 + 64*o**2 + 124*o - 174. Let p(l) = -5*g(l) + 6*k(l). Determine s, given that p(s) = 0.
-9, -5, 1
Let w(h) be the third derivative of -h**5/30 + 7*h**4/6 - 49*h**3/3 + h**2 + 9. Factor w(v).
-2*(v - 7)**2
Let t(h) = -1 + 161*h - 162*h - 1. Let y be t(-5). Solve 3/2*g**y - 3/2*g + 21/4*g**2 + 0 - 21/4*g**4 = 0.
-1, 0, 2/7, 1
Let q = 7 - 11. Let s = 6 + q. Factor -h**3 + 0*h**2 + 2*h**2 - 2*h + 3*h**3 + 0*h - s*h**4.
-2*h*(h - 1)**2*(h + 1)
Let n be (-404)/(-44) - -4 - (-4)/(-22). Factor 20 - n*r**2 - 25*r + 4*r**2 + 14*r**2.
5*(r - 4)*(r - 1)
Let d(g) be the third derivative of g**6/840 + g**5/420 - g**4/84 - 3*g**2 + 4. Factor d(n).
n*(n - 1)*(n + 2)/7
Suppose -37*l - 9 = -40*l. Let f(m) be the first derivative of -8 - 2/5*m**2 + 0*m - 1/15*m**l. Suppose f(a) = 0. Calculate a.
-4, 0
Let s(o) be the first derivative of -1/25*o**5 + 0*o**2 + 1/5*o**4 + 17 + 0*o - 1/5*o**3. Solve s(g) = 0 for g.
0, 1, 3
Let a(j) be the second derivative of -j**7/21 + j**6/15 + j**5/10 - j**4/6 + 548*j. Factor a(y).
-2*y**2*(y - 1)**2*(y + 1)
Let d be (-174)/(-12) + (-10)/(-4). Factor 33*p**2 - 2*p - d*p**2 - 18*p**2.
-2*p*(p + 1)
Let q(y) = -12*y**2 - 14*y + 16. Let t be (-3)/((-6)/(-1))*(-5 - -25). Let m(k) = k**2 + k - 1. Let v(i) = t*m(i) - q(i). Let v(o) = 0. What is o?
-3, 1
Let d = 10501/2 + -5243. Find a, given that 5/2*a**4 + 0*a - d*a**2 + 5*a**3 + 0 = 0.
-3, 0, 1
Let b(a) be the second derivative of -1/12*a**4 + 41*a + 11/20*a**5 + 1/14*a**7 - 11/30*a**6 + 0*a**2 - 1/3*a**3 + 0. Factor b(h).
h*(h - 2)*(h - 1)**2*(3*h + 1)
Suppose 0 = -3*v - 20 + 2. Let o = -1 - v. Find k such that -3*k**3 - 5*k**5 + 6*k + 3*k**5 - 9*k**4 + 9*k**2 - k**o = 0.
-2, -1, 0, 1
Let y(b) = 2*b**3 - 72*b**2 + 45*b + 5. Let z(p) = 3*p**3 - 72*p**2 + 39*p + 6. Let s(r) = 6*y(r) - 5*z(r). Suppose s(m) = 0. Calculate m.
-25, 0, 1
Let n(u) be the second derivative of -u**4/90 + 26*u**3/45 + 9*u**2/5 - 2*u. What is i in n(i) = 0?
-1, 27
Suppose 2*v = -4, 4*h - 2*v - 3 - 17 = 0. Factor 4*a + a**3 - 13 + 3*a**2 + 9 - 3*a**3 - a**h.
-(a - 1)**2*(a + 2)**2
Determine j, given that 1/2*j**4 - j**3 - j**2 + 1/2*j**5 + 1/2*j + 1/2 = 0.
-1, 1
Let z(u) = -8*u**4 - 40*u**3 - 72*u**2 - 20*u + 20. Let f(m) = 8*m**4 + 41*m**3 + 70*m**2 + 19*m - 18. Let c(y) = 6*f(y) + 5*z(y). Factor c(j).
2*(j + 1)**2*(j + 4)*(4*j - 1)
Suppose -2 = -2*a + 2*q, 5*a - a = 5*q + 3. Factor -4*s**4 - 2*s**2 - 8*s**2 + 5*s**3 + 2*s**a + 7*s**3.
-4*s**2*(s - 2)*(s - 1)
Let 2294*g + 2*g**3 + 184100*g**2 - 4071 - 2743 - 184230*g**2 + 1048 = 0. What is g?
3, 31
Let r(v) = 13*v**4 + 27*v**3 - 2*v**2 - 8*v + 4. Let w(p) = p**4 + p**3 - 2*p**2 + 1. Let s(j) = 3*r(j) - 12*w(j). Factor s(z).
3*z*(z + 1)*(z + 2)*(9*z - 4)
Factor -1/4*k**5 - k + 0 - 1/2*k**4 + k**2 + 3/4*k**3.
-k*(k - 1)**2*(k + 2)**2/4
Let r be (-19 + 6)/(2/(-16)). Factor 69 + 31 + r*d - 28*d**2 - 7*d**2 + 236*d.
-5*(d - 10)*(7*d + 2)
Let j(w) be the third derivative of 2*w**7/105 - w**6/30 - 2*w**5/5 + 2*w**4/3 + 16*w**3/3 - 5*w**2. Solve j(k) = 0 for k.
-2, -1, 2
Let r(n) be the second derivative of n**6/40 + 3*n**5/20 + n**4/4 - 11*n**2/2 + 12*n. Let s(c) be the first derivative of r(c). Factor s(b).
3*b*(b + 1)*(b + 2)
Let i be -2*3/33 - 24/(-11). Suppose 6*o - i - 114*o**2 - 1 + 111*o**2 = 0. What is o?
1
Let j be 4*11/44*2. Factor 0 - 162/19*h - 2/19*h**3 + 36/19*h**j.
-2*h*(h - 9)**2/19
Suppose -2*k = -44 + 42. Let v be k/4 - ((-68)/(-80) - 1). Factor 2/5*i**2 - v*i + 0.
2*i*(i - 1)/5
Let i = -30 - -35. Let t(y) = -y**4. Let v(h) = -6*h**4 - 4*h**3 - 5*h**2 - 2*h. Let z(k) = i*t(k) - v(k). Factor z(p).
p*(p + 1)**2*(p + 2)
Let d(g) be the first derivative of -g**7/8400 + g**6/600 - 2*g**4/15 - 10*g**3 + 29. Let m(p) be the third derivative of d(p). Suppose m(u) = 0. Calculate u.
-2, 4
Let t(o) = -o**3 + 14*o**2 - 17*o + 55. Let r be t(13). Let m = -419 + 4613/11. Factor 0 + m*x**2 + 2/11*x**r + 2/11*x.
2*x*(x + 1)**2/11
Determine x so that 4*x**4 - 3*x**4 + 23041*x**3 - 5*x - 2 - 23040*x**3 - 3*x**2 = 0.
-1, 2
Find s such that -12/5*s**2 + 0*s - 3/5*s**4 + 3*s**3 + 0 = 0.
0, 1, 4
Let z(m) be the third derivative of -m**5/105 - 3*m**4/56 - 5*m**3/42 + 55*m**2 - 2. Factor z(u).
-(u + 1)*(4*u + 5)/7
Let x be 2 + -2 - (-1 - 59). Let h be ((-32)/x)/(4/(-6)). Factor 9/5*n + 2/5 + h*n**2.
(n + 2)*(4*n + 1)/5
Let v(g) be the third derivative of -g**5/80 + 13*g**4/96 - g**3/2 + 3*g**2 + 52*g. Determine f so that v(f) = 0.
4/3, 3
Suppose 0*n - 3*n = -6. Let j be (3/(-18))/(2/((-8)/3)). Determine q, given that 0 - 2/9*q - j*q**3 + 4/9*q**n = 0.
0, 1
Let q(n) be the second derivative of n**8/84 - 2*n**7/21 + 3*n**6/10 - 7*n**5/15 + n**4/3 + 2*n**2 + 8*n. Let j(p) be the first derivative of q(p). Factor j(h).
4*h*(h - 2)*(h - 1)**3
Let g(m) be the first derivative of m**4/24 + m**3/3 + 3*m**2/4 + 2*m/3 - 247. Suppose g(i) = 0. What is i?
-4, -1
Suppose -6*f = -42 + 324. Let v = f + 143. Find i, given that -i**2 + v*i + i**3 - 96*i = 0.
0, 1
Let h(g) be the third derivative of -2*g**3 + 0 - 1/4*g**5 - 1/40*g**6 + 34*g**2 + 0*g - g**4. Factor h(w).
-3*(w + 1)*(w + 2)**2
Let z(a) be the third derivative of -a**8/144 + 19*a**7/630 + 41*a**6/360 - 11*a**5/180 - 17*a**4/36 - 4*a**3/9 - 38*a**2. Find c such that z(c) = 0.
-1, -2/7, 1, 4
Let n(v) be the third derivative of 2*v**7/105 - v**6/5 + 8*v**5/15 + v**4 - 6*v**3 + 208*v**2. Factor n(s).
4*(s - 3)**2*(s - 1)*(s + 1)
Suppose 135*y + 3 = 137*y + k, 4*y + 9 = 3*k. Let f(m) be the third derivative of y*m**4 + 0*m - 1/240*m**5 + 0 + 1/24*m**3 + 6*m**2. Factor f(j).
-(j - 1)*(j + 1)/4
Let z be (((-504)/(-60))/14)/((-8)/(-15)). Let q(g) be the first derivative of -15/4*g**2 + 1 + z*g**4 - 3*g + 2*g**3. Solve q(r) = 0 for r.
-2, -1/3, 1
Let u = 29 - 27. Factor -2*n - 1 - 3 + 3*n**2 - n**u.
2*(n - 2)*(n + 1)
Let a(o) be the third derivative of -o**8/1176 - o**7/105 + 13*o**6/84 - 157*o**5/210 + 38*o**4/21 - 52*o**3/21 - 157*o**2. Find y, given that a(y) = 0.
-13, 1, 2
Let c(n) be the third derivative of n**6/240 + 19*n**5/120 - 41*n**4/48 + 7*n**3/4 - 33*n**2. Suppose c(p) = 0. Calculate p.
-21, 1
Let o(j) = -5*j - 12. Let l be o(-5). Factor -8*w + 5*w**3 + 4*w**2 + l*w + 6*w**2.
5*w*(w + 1)**2
Let t(o) be the second derivative of 49*o**6/15 + 2856*o**5/5 + 84044*o**4/3 + 31552*o**3 + 13456*o**2 + 43*o. Factor t(n).
2*(n + 58)**2*(7*n + 2)**2
Let m(l) = 8*l**2 - 5*l. Let v be m(1). Suppose i - 8 = -v*i. What is t in -2/3*t**i + 2 - 4/3*t = 0?
-3, 1
Suppose -5*f + 7*f = 4. Factor -4*a**3 - 166*a**f + 165*a**2 + 0 - 3*a**4 + 0.
-a**2*(a + 1)*(3*a + 1)
Let h(f) be the third derivative of 0*f - 1/60*f**5 - 1/40*f**6 + 0 + 7/48*f**4 - 1/672*f**8 - 1/4*f**3 - 2*f**2 + 1/84*f**7. Find s, given that h(s) = 0.
-1, 1, 3
Suppose -5*m + 2*f + 2410 = 0, -319 - 1127 = -3*m - 2*f. Let t = m - 2402/5. Solve t - 1/5*v**3 - 12/5*v + 6/5*v**2 = 0.
2
Suppose 0 + 20/23*x - 20/23*x**3 + 2/23*x**2 - 2/23*x**4 = 0. What is x?
-10, -1, 0, 1
Determine s so that 4/9*s**4 - 32/9*s**2 + 28/9 + 8/3*s - 8/3*s**3 = 0.
-1, 1, 7
Let k(q) be the third derivative of -q**6/1080 + q**5/360 + q**4/36 - 10*q**3/3 - 9*q**2. Let v(l) be the first derivative of k(l). Solve v(d) = 0.
-1, 2
Let m be ((-18)/(-60))/(12/10). Let v(c) be the first derivative of -4 + 1/4*c**3 + m*c - 1/2*c**2. Suppose v(r) = 0. Calculate r.
1/3, 1
Let z(f) = -35*f**3 + 120*f**2 - 450*f + 670. Let g(h) = h**3 - h**2 - h - 1. Let d(l) = 30*g(l) + z(l). Suppose d(n) = 0. Calculate n.
2, 8
Let 505 + 350 + 4*n**3 - 155*n - 343 + 72*n**2 + 442*n + 97*n = 0. Calculate n.
-8, -2
Let q(y) = -7*y**3 + 169*y**2 + 168*y. Let v(w) = 80*w**3 - 1860*w**2 - 1850*w. Let r(k) = -45*q(k) - 4*v(k). Determine g so that r(g) = 0.
-32, -1, 0
Determine f, given that 1/7*f**5 + 15/7*f**3 + 36/7 - 31/7*f**2 + 11/7*f**4 - 32/7*f = 0.
-9, -2, 1
Suppose -24 = 5*c + 21. Let i = -7 - c. Factor 2/5 - i*q**2 - 8/5*q.
-2*(q + 1)*(5*q -