erivative of -p**6/8 + 3*p**5/10 + 29*p**4/8 - 3*p**3 - 135*p**2. Factor m(v).
-3*(v - 3)*(v + 2)*(5*v - 1)
Let t be 0 - (12 - 6) - -12. Let c(l) be the third derivative of -l**2 + 4/945*l**7 + 1/504*l**8 + 0*l**4 + 0*l**5 + 1/540*l**t + 0*l**3 + 0*l + 0. Factor c(q).
2*q**3*(q + 1)*(3*q + 1)/9
Let r be (-2)/18*3*-12. What is q in 3*q**3 + r*q**3 - 3*q**3 - 5*q**3 - q**4 = 0?
-1, 0
Suppose -84 = 4*r + 2*r. Let y(t) = t**3 + 8*t**2 - t - 1. Let g(p) = p**2. Let k(q) = r*g(q) + 2*y(q). What is j in k(j) = 0?
-1, 1
Suppose 41*r = 145 + 19. Let s(d) be the second derivative of 0*d**3 - 1/140*d**5 + 0 - 1/28*d**r + 2/7*d**2 + 7*d. Factor s(z).
-(z - 1)*(z + 2)**2/7
Let m(c) = -8*c**5 - 3*c**4 + 11*c**3 + 11*c - 11. Let q(i) = 3*i**5 + i**4 - 4*i**3 - 4*i + 4. Let o(f) = 4*m(f) + 11*q(f). Let o(h) = 0. Calculate h.
0, 1
Let f be 13 - 3 - (30 + -23). Let t(q) be the second derivative of 0 + 1/4*q**2 + 1/40*q**5 - 1/12*q**f - 1/24*q**4 + 2*q. Determine k so that t(k) = 0.
-1, 1
Let h(k) be the second derivative of 0 - 1/72*k**4 + 0*k**2 + 3*k - 1/30*k**5 + 1/9*k**3 + 1/180*k**6. Find a such that h(a) = 0.
-1, 0, 1, 4
Let o(u) be the second derivative of u**4/12 + 2*u**3/3 - u**2/2 + 5*u. Let k be o(-7). Factor -4*y**3 - y**3 + 25*y**2 + k - 32*y - 8*y.
-5*(y - 2)**2*(y - 1)
Let w be (-40)/8 + 58/10. Let u(k) be the first derivative of 4*k + 0*k**3 - 2*k**4 - w*k**5 + 4*k**2 - 1. Factor u(x).
-4*(x - 1)*(x + 1)**3
Suppose -8*w + 4*g + 17 = -11, 0 = -2*w - 4*g + 2. Let k(m) = -m**3 + 2. Let l be k(0). Solve 4/7*h - 10/7*h**l + 0 - 6/7*h**w = 0.
-2, 0, 1/3
Let s = 414 + -414. Let j(y) be the third derivative of 1/12*y**4 + 3*y**2 + 0*y**3 + 0*y - 1/30*y**5 + s. Factor j(n).
-2*n*(n - 1)
Let v(b) be the third derivative of -b**6/480 - b**5/30 - 3*b**4/32 + 3*b**3/4 + 3*b**2 + 55. Factor v(u).
-(u - 1)*(u + 3)*(u + 6)/4
Let k(q) be the second derivative of 1/36*q**4 + 24*q**2 + 19*q + 0 + 4/3*q**3. Solve k(s) = 0 for s.
-12
Factor 0 + 32/3*v - 4/3*v**4 - 4*v**3 + 8*v**2.
-4*v*(v - 2)*(v + 1)*(v + 4)/3
Let s = -2909/3 + 970. What is d in -s*d**2 - 4*d - 12 = 0?
-6
Factor -231 + 20*r**3 - 18*r**3 + 183 + 10*r**2 - 4*r.
2*(r - 2)*(r + 3)*(r + 4)
Let p(m) = 18*m**3 + 3*m**2 - 5*m. Let k(b) = 116*b**3 + 20*b**2 - 32*b. Let d(s) = -5*k(s) + 32*p(s). Suppose d(y) = 0. Calculate y.
-1, 0
Let p = 2/2143 + 6419/10715. Find v such that -p*v**2 + 9/5*v + 6 = 0.
-2, 5
Let m = 713 - 708. Let n(x) be the third derivative of 0 - 6*x**2 - 1/42*x**4 - 1/210*x**m + 0*x + 0*x**3. Factor n(u).
-2*u*(u + 2)/7
Let u = -2915/18 + 162. Let f(s) be the first derivative of -4 - u*s**4 + 0*s + 4/27*s**3 - 1/9*s**2. Factor f(b).
-2*b*(b - 1)**2/9
Let i(v) = -v**3 + 7*v**2 + 10*v - 7. Let q be i(8). Let o be (4*q/48)/(21/8). Find r such that -8/7*r**4 - o*r**3 + 2/7*r + 8/7*r**2 + 0 = 0.
-1, -1/4, 0, 1
Suppose -2*n + 8 = 0, 3*a + 2*n - 3*n - 35 = 0. Let r = -10 + a. Factor 0*b + 3/2*b**4 + 0 + 3/2*b**2 - 3*b**r.
3*b**2*(b - 1)**2/2
Suppose 0 = -369*d + 4*d + 730. Factor -3/7*l**d + 1/7*l**4 - 8/7*l + 2/7*l**3 - 4/7.
(l - 2)*(l + 1)**2*(l + 2)/7
Let c(h) = 10935*h**4 - 8019*h**3 + 1860*h**2 - 180*h + 3. Let x = 62 + -63. Let w(s) = s**2 + s + 1. Let l(g) = x*c(g) - 3*w(g). Let l(k) = 0. Calculate k.
1/9, 2/5
Let d(b) be the first derivative of -b**6/7 + 4*b**5/5 - 23*b**4/14 + 32*b**3/21 - 4*b**2/7 + 234. Determine y so that d(y) = 0.
0, 2/3, 1, 2
Suppose -4*t + 3*m = -m - 128, t - 56 = -5*m. Let y be (-9)/(-18)*(t/3)/3. Factor -1/2*d**3 + 1/4*d**5 - 1/4 - 1/4*d**4 + 1/2*d**y + 1/4*d.
(d - 1)**3*(d + 1)**2/4
Let s be (-138896)/9152 + 4/26. Let z = s - -168/11. Solve -9/4 - z*f**2 + 3/2*f = 0.
3
Suppose -90*v**4 - 86*v**2 - 2*v**5 - 174*v**3 + 160*v + 145*v - 305*v = 0. What is v?
-43, -1, 0
Let j(f) = 299*f - 2091. Let g be j(7). Factor 0 + 1/4*n - 11/8*n**g + 7/4*n**3.
n*(2*n - 1)*(7*n - 2)/8
Let q(h) be the third derivative of -5*h**8/112 + 11*h**7/21 - 13*h**6/6 + 7*h**5/2 - 15*h**4/8 - 419*h**2. What is p in q(p) = 0?
0, 1/3, 1, 3
Find a such that -3021/2*a**3 + 111/2*a**4 + 17328*a**2 - 3/4*a**5 - 390963/2 - 226347/4*a = 0.
-2, 19
Let k(m) be the third derivative of 0*m + 4*m**2 + 2/35*m**7 + 1/2*m**4 - 1/15*m**6 + 6 - 1/84*m**8 - 2/15*m**5 - 2/3*m**3. Factor k(t).
-4*(t - 1)**4*(t + 1)
Let v(u) = u**2 + 6*u + 7. Let m be v(-5). Find c such that 10*c**4 + 3*c**3 + 6*c**m - c**4 + 7*c**4 - 19*c**4 = 0.
-1, 0, 2
Let a be -1 + 9*(-5)/(-3). Let m(p) = -2*p**3 - 3*p**2 + 5*p - 3. Let x(r) = 5*r**3 + 6*r**2 - 11*r + 7. Let w(g) = a*m(g) + 6*x(g). Factor w(k).
2*k*(k - 2)*(k - 1)
Let o(l) = -17*l**4 - l**3 + 65*l**2 - 8*l - 57. Let n(g) = -4*g**4 + 16*g**2 - 2*g - 14. Let i(s) = 9*n(s) - 2*o(s). Solve i(c) = 0 for c.
-2, -1, 1, 3
Let c(o) be the second derivative of 11*o + 1/9*o**3 + 0*o**2 + 0 - 1/54*o**4. Suppose c(d) = 0. What is d?
0, 3
Let p(d) be the first derivative of -2*d**7/63 + d**6/45 - 9*d - 19. Let b(q) be the first derivative of p(q). Find a such that b(a) = 0.
0, 1/2
What is r in 14*r**2 + 0*r**4 + 8*r**5 - 4*r**4 - r**4 + 4*r**3 - 4*r**5 - 17*r**3 = 0?
-7/4, 0, 1, 2
Let k(a) = -a**3 - 8*a**2 + 4. Let t be k(-8). Let d be (-3 - (-14)/t)*1. Factor 1/2*q**2 + q + d.
(q + 1)**2/2
Let d(z) = -z**2 - 7*z + 3. Let o be d(-7). Suppose 10 = -2*k + 18. Solve 4*p**4 + p**4 - 4*p**k - 2*p**5 - o*p**4 = 0 for p.
-1, 0
Let v(b) be the second derivative of b**6/90 - 13*b**5/60 + b**4/2 + 26*b**3/9 - 44*b**2/3 + b - 40. Factor v(k).
(k - 11)*(k - 2)**2*(k + 2)/3
Let x(r) be the second derivative of -r**5/240 - 5*r**4/48 - 25*r**3/24 - 11*r**2/2 - 12*r. Let p(h) be the first derivative of x(h). Let p(z) = 0. Calculate z.
-5
Let m(c) = 3*c + 22. Let z(n) = -3*n - 21. Let q(a) = 5*m(a) + 6*z(a). Let s be q(-6). Factor 2/5*y**3 + 0*y**s - 2/5*y + 1/5 - 1/5*y**4.
-(y - 1)**3*(y + 1)/5
Let f(x) be the second derivative of x**6/6 - 25*x**4/12 + 10*x**2 - 5*x + 9. Suppose f(c) = 0. What is c?
-2, -1, 1, 2
Suppose 0*g - g + 3 = 0. Suppose -3*z - 10 = -7*z + g*w, 5*z + 3*w = 26. Let -2 - 2*y + y**2 - z - y + 2*y**2 = 0. Calculate y.
-1, 2
Let x(o) be the third derivative of o**5/150 + 7*o**4/4 + 6*o**2 - 44*o. Factor x(t).
2*t*(t + 105)/5
Suppose 5*t - 5*o = t - 25, 5*t + 4*o - 20 = 0. Let r(b) be the second derivative of -6*b + t + 1/12*b**3 + 1/24*b**4 - 1/2*b**2. Factor r(d).
(d - 1)*(d + 2)/2
Let i = 7756 + -7756. Find k such that i*k + 2/7*k**5 + 0 + 2/7*k**3 + 0*k**2 + 4/7*k**4 = 0.
-1, 0
Let s(f) be the first derivative of 45*f - 10/3*f**3 - 7*f**5 - 35/2*f**4 + 75/2*f**2 - 5/6*f**6 + 9. Suppose s(x) = 0. What is x?
-3, -1, 1
Let c(s) be the second derivative of -1/75*s**6 + 54/5*s**2 + 0 - 11*s + 9/5*s**3 - 7/50*s**5 - 3/10*s**4. Determine r so that c(r) = 0.
-3, 2
Let p be (-3)/4*(-5 - -2). Let a = 5521/7372 - -2/1843. Find b such that a*b**2 + p*b + 3/2 = 0.
-2, -1
Let a = 1764 - 5288/3. Determine d so that 6*d**3 - 10/3*d**2 + 14/3*d**4 - 6*d - a = 0.
-1, -2/7, 1
Let p be (-6204)/(-252) + (-1)/2. Let a = p + -143/6. Factor 0*n + a - 2/7*n**2.
-2*(n - 1)*(n + 1)/7
Suppose -27*n + 11*n = -64. Let z(p) be the second derivative of -1/2*p**3 + 0 + n*p + 1/20*p**5 + 0*p**4 - p**2. Factor z(x).
(x - 2)*(x + 1)**2
Let i(j) = 5*j**3 + 62*j**2 - 5*j - 62. Let q(y) = -15*y**3 - 185*y**2 + 15*y + 185. Let v(o) = 10*i(o) + 3*q(o). Determine m, given that v(m) = 0.
-13, -1, 1
Suppose 3*c + 12 = 3*g, 2*g - 202 = -4*c - 218. What is o in -5/4*o**2 + g*o + 0*o**3 + 1 + 1/4*o**4 = 0?
-2, -1, 1, 2
Let w(s) be the third derivative of 5*s**8/784 + 37*s**7/490 - 71*s**6/280 + 11*s**5/140 + 9*s**4/28 - 110*s**2 - 1. What is y in w(y) = 0?
-9, -2/5, 0, 1
Suppose 22*x = 26*x - 20. What is f in f**3 + 8*f**4 + 4*f**5 - 5*f**3 - 4*f**x - 4*f**5 = 0?
0, 1
Let w(z) be the second derivative of -z**5/5 + 11*z**4/3 - 26*z**3 + 90*z**2 - 2*z + 34. Factor w(o).
-4*(o - 5)*(o - 3)**2
Let j = -1951/8 + 244. Let o(d) be the third derivative of 0 + 0*d - 1/6*d**3 - d**2 - 1/20*d**5 + j*d**4 + 1/120*d**6. Factor o(n).
(n - 1)**3
Let p(t) = -t**3 + 10*t**2 + 11*t + 11. Let h be p(11). Factor 16*l**2 - 24*l**2 + h*l**2.
3*l**2
Let -2/5*f**4 + 0 + 0*f - 28/5*f**3 + 0*f**2 = 0. What is f?
-14, 0
Let q be ((-20)/(-8))/(1/2). Suppose 5*r + 15 = -q*l, -3*r - 9 = -3*l + 12. Factor -t**3 + 4*t**l - t**2 - 5*t**2 + 2*t + 5*t**2 -