e second derivative of 3*s**5/100 - s**4/20 - s**3/5 + 5*s. Factor p(c).
3*c*(c - 2)*(c + 1)/5
Let h(g) = 3*g**2 - 11*g + 8. Let y(t) = -7*t**2 + 23*t - 16. Let s(r) = 10*h(r) + 4*y(r). Solve s(z) = 0 for z.
1, 8
Suppose m + 1 = 6*s - s, 5*m + 5 = 4*s. Determine n so that 0*n + s + 1/4*n**2 = 0.
0
Let d = 64561/10 + -6450. Let r = 13/2 - d. Find o, given that -4/5*o**3 + 4/5*o - r + 0*o**2 + 2/5*o**4 = 0.
-1, 1
Let m(v) = 5*v**4 - 4*v**3 - 5*v**2 + 4*v - 4. Suppose 4 + 4 = 2*y. Let j(p) = -p**4 + p**3 + p**2 - p + 1. Let s(h) = y*j(h) + m(h). Factor s(f).
f**2*(f - 1)*(f + 1)
Let 1/11*l**5 + 1/11*l**4 + 0*l**2 + 0 + 0*l**3 + 0*l = 0. What is l?
-1, 0
Let u(k) be the third derivative of k**5/60 + k**4/3 - k**2 + 42. Factor u(v).
v*(v + 8)
Let k(m) = 4*m**2 + 24*m + 20. Let n(a) = -3*a**2 - 16*a - 13. Let b(v) = -5*k(v) - 8*n(v). Factor b(u).
4*(u + 1)**2
Let n(u) = -6*u**2 + 22*u - 16. Let l(z) = -2*z**2 + 7*z - 5. Let w = -4 - -9. Suppose w*x + 63 = 13. Let r(s) = x*l(s) + 3*n(s). Find m, given that r(m) = 0.
1
Let u(y) be the second derivative of 0*y**4 - 2*y + 1/9*y**3 - 1/10*y**5 + 0 + 2/45*y**6 + 0*y**2. Factor u(w).
2*w*(w - 1)**2*(2*w + 1)/3
Let w(f) = 25*f**2 + f + 25. Let i(j) = -3*j**2 - 3. Let k(u) = 51*i(u) + 6*w(u). Determine q, given that k(q) = 0.
1
Let j(n) = n**2 + 5*n + 2. Let g be j(-6). Suppose g - 1 = q. Factor u**2 - 3*u**2 + u**2 - 2*u**3 - 3*u**4 - u + q*u**3.
-u*(u - 1)**2*(3*u + 1)
Let m(a) = a + 3. Let l be m(2). Let h(i) be the third derivative of 1/36*i**3 - 2*i**2 + 0 - 1/144*i**4 - 1/360*i**l + 0*i + 1/720*i**6. Factor h(c).
(c - 1)**2*(c + 1)/6
Let l(h) be the second derivative of -h**6/30 - h**5/2 - 11*h**4/4 - 20*h**3/3 - 8*h**2 - 24*h. Factor l(m).
-(m + 1)**2*(m + 4)**2
Let m = 10 + -7. Factor -3 + m + h**2 - 3*h**2 + 2*h**4.
2*h**2*(h - 1)*(h + 1)
Suppose 3*c + 5*x + 14 = 0, 5*x + 8 = -4*c - 4. Factor 0*m**c + 2/9*m**3 + 0 - 2/9*m.
2*m*(m - 1)*(m + 1)/9
Suppose 0*k + 40 = 2*k. Suppose 5*l - k - 10 = 0. Let -j**3 + l - 6 - 3*j**2 - 2*j = 0. What is j?
-2, -1, 0
Let t(u) be the second derivative of 5*u**4/12 - 5*u**3/2 - 10*u**2 + 6*u. Factor t(w).
5*(w - 4)*(w + 1)
Let x(u) be the first derivative of 1/3*u**3 - 1/4*u**2 + 5 + 0*u - 1/8*u**4. Determine f, given that x(f) = 0.
0, 1
Suppose 0 = -2*h + 4*n - 40, -5*h - n - 2*n = 35. Let k = -4 - h. Factor -2*g**3 - 2*g**4 - 2*g**4 + 2*g - 4 + k*g**2 + 2*g**4.
-2*(g - 1)**2*(g + 1)*(g + 2)
Let l(c) be the first derivative of 9/14*c**2 - 3/28*c**4 - 2 + 0*c**3 - 6/7*c. Factor l(a).
-3*(a - 1)**2*(a + 2)/7
Let x(k) be the first derivative of 2*k**3/63 + 44*k**2/21 + 968*k/21 - 57. Find f, given that x(f) = 0.
-22
Let k(p) be the third derivative of p**7/490 + p**6/280 - 3*p**5/140 - p**4/56 + p**3/7 + 7*p**2. What is x in k(x) = 0?
-2, -1, 1
Let v = -56/5 - -677/60. Let b(p) be the first derivative of 1/24*p**4 - 2 + 1/6*p - 1/18*p**3 - v*p**2. Suppose b(t) = 0. What is t?
-1, 1
Let h(q) = q - 1. Let l(g) = 3*g - 4. Let m(t) = -4*h(t) + l(t). Let c be m(-2). Factor 0 + 4*a - 5*a**c + 4*a**2 - 3*a + 2.
-(a - 2)*(a + 1)
Let k be -2 - (4 + -5)*5. Let l(d) be the second derivative of 1/4*d**k - d + 0 - 3/8*d**2 - 1/16*d**4. Determine s so that l(s) = 0.
1
Let r = 4 - -1. Factor 2*x - x - r*x - 2*x**2.
-2*x*(x + 2)
Let q = 19 + -13. Let j(c) = -153*c**2 + 90*c - 18. Let f(n) = -305*n**2 + 179*n - 35. Let g(i) = q*f(i) - 11*j(i). Factor g(u).
-3*(7*u - 2)**2
Let c = -207/35 - -31/5. Solve 2/7*l**2 + 0 - c*l = 0 for l.
0, 1
Let d be (-1 + (8 - 3))/1. Factor -5*t**4 + 6*t**d - 2*t**3 + t**4 + 2*t**5 - 2*t**2 + 0*t**3.
2*t**2*(t - 1)*(t + 1)**2
Let x = 37/15 - 13/10. Let i = 11/6 - x. Factor 2/3*h**2 + 0 + 2/3*h**3 - i*h - 2/3*h**4.
-2*h*(h - 1)**2*(h + 1)/3
Let h(q) = q**3 - 7*q**2 + 2*q - 10. Let x be h(7). Let l be ((-2)/(-9))/(x + -3). Factor 0*s + l*s**3 + 4/9*s**2 + 0.
2*s**2*(s + 2)/9
Let a be (-4)/(144/321) - -1. Let l = -20/3 - a. Let -3*c + l*c**2 + 1 = 0. What is c?
2/5, 2
Find o such that 5*o**2 + 4*o - 9*o**2 + 6*o**2 = 0.
-2, 0
Suppose -5*s + 50 = -5*a, 0 = s - 4*a - 19. Factor -s*g**3 - 26*g**2 - 17*g**3 - 2*g**4 - 2 - 12*g - 6*g**4.
-2*(g + 1)**2*(2*g + 1)**2
Let b(d) be the second derivative of -1/54*d**4 + 1/90*d**5 - 4*d - 1/27*d**3 + 0 + 1/135*d**6 + 0*d**2. Factor b(u).
2*u*(u - 1)*(u + 1)**2/9
Let a(x) = -x**3 + 2*x**2 + 5. Let p(c) = -c**3 + 2*c**2 + 6. Let u(g) = 6*a(g) - 5*p(g). Solve u(n) = 0.
0, 2
Let n be (1 + (-18)/28)/2. Let h = n + 1/14. Factor 1/2 + 3/4*s + h*s**2.
(s + 1)*(s + 2)/4
Let q(y) = y**2 + 15*y + 16. Let o be ((-1)/(-2))/((-2)/56). Let g be q(o). Suppose 12/5*p**3 + 3/5*p**5 + 6/5*p**2 + 0 + g*p**4 + 1/5*p = 0. Calculate p.
-1, -1/3, 0
Let l(n) be the third derivative of 5*n**5/48 - 5*n**4/24 + n**3/6 - 4*n**2. Let l(i) = 0. What is i?
2/5
Factor t**4 - 2*t**2 + 4*t + t**4 - 1530*t**3 + 1526*t**3.
2*t*(t - 2)*(t - 1)*(t + 1)
Let z(w) be the third derivative of 2*w**2 + 0 + 1/10*w**5 + 0*w**4 + 0*w + 1/112*w**8 - 1/35*w**7 - 1/40*w**6 + 0*w**3. Factor z(v).
3*v**2*(v - 2)*(v - 1)*(v + 1)
Let y(g) = g**4 - 54*g**3 + 1014*g**2 - 8788*g + 28561. Let u(s) = -s**4 + 55*s**3 - 1014*s**2 + 8788*s - 28561. Let a(o) = -2*u(o) - 3*y(o). Factor a(l).
-(l - 13)**4
Solve -4*s + 3*s**3 - 14*s + 3*s - 2*s**2 - 10*s**2 = 0 for s.
-1, 0, 5
Let z(u) = -u**3 - 6*u**2 - 5*u + 3. Let o be z(-5). Factor 2*w + w - 4*w - 5*w - o*w**2.
-3*w*(w + 2)
Let d(h) be the second derivative of -h**7/21 - h**6/15 + h**5/2 + 5*h**4/6 - 4*h**3/3 - 4*h**2 + 10*h. Determine s so that d(s) = 0.
-2, -1, 1, 2
Let c(y) = 13*y**3 - 72*y**2 + 221*y - 221. Let q(t) = 32*t**3 - 180*t**2 + 552*t - 552. Let p(l) = 12*c(l) - 5*q(l). What is w in p(w) = 0?
3
Let o = -2519/30 - -84. Let s(l) be the third derivative of 0*l + 2*l**2 + 1/3*l**3 - 1/6*l**4 + 0 + o*l**5. Factor s(u).
2*(u - 1)**2
Let g(p) = -p**2 - 1. Let l be g(3). Let i = l + 13. Factor 0*m**2 + 0 - 1/5*m**4 - 2/5*m**i + 0*m.
-m**3*(m + 2)/5
Let o(m) = 4*m**2 + 15*m + 41. Let a(l) = l**2 + 4*l + 10. Let s(j) = -18*a(j) + 4*o(j). Find r, given that s(r) = 0.
-4, -2
Let f(y) be the third derivative of y**4/12 - 2*y**3/3 - 2*y**2. Let z be f(4). Let -7*i**2 - 2 + 7*i**2 - 4*i**3 + z*i + 2*i**4 = 0. What is i?
-1, 1
Let k(i) be the second derivative of i**7/70 - 3*i**6/50 + 3*i**5/50 + 37*i. Factor k(z).
3*z**3*(z - 2)*(z - 1)/5
Let n(i) be the second derivative of 1/6*i**2 + 1/36*i**4 + 0 + i + 1/9*i**3. Factor n(x).
(x + 1)**2/3
Let y(o) be the second derivative of 0 + 0*o**3 - 1/10*o**6 + 0*o**4 - 3/20*o**5 + 0*o**2 + 5*o. Let y(d) = 0. Calculate d.
-1, 0
Let s(z) be the third derivative of -1/6*z**4 - 1/24*z**6 + 2/3*z**3 + 0 - 13/60*z**5 - z**2 + 0*z. Suppose s(l) = 0. What is l?
-2, -1, 2/5
Let o(a) be the second derivative of -a**5/180 - a**4/108 + a**3/27 - 2*a. Let o(u) = 0. What is u?
-2, 0, 1
Let o(i) be the third derivative of 3*i**8/112 + 8*i**7/35 + 29*i**6/40 + i**5 + i**4/2 - 2*i**2. Let o(m) = 0. What is m?
-2, -1, -1/3, 0
Let f be 6*3/(-6) - 7/(-2). Suppose q**2 + f + 3/2*q = 0. Calculate q.
-1, -1/2
Let b(g) = g**3 - g**2 + g. Let x be (-2)/1*(-3)/6. Let r(h) = -33*h**3 + 6*h**2 + 9*h + 6. Let p(l) = x*r(l) + 12*b(l). Suppose p(a) = 0. What is a?
-1, -2/7, 1
Suppose v + 5 = 1. Let l = v - -9. Solve -2*q**4 + 2*q**2 + 2*q**3 + 4*q**3 - 4*q**3 - 2*q**l = 0.
-1, 0, 1
Suppose -24 = -2*t + 6*t. Let u = t - -6. Factor 0*q - 2 + u*q + q**2 + q**2.
2*(q - 1)*(q + 1)
Let b = 8 + -4. Suppose -s = -6 - b. Determine m, given that s*m - 2*m**5 + 8*m**4 + 5*m**5 - 4*m**2 - 5*m**5 - 8*m**3 - 4 = 0.
-1, 1, 2
Let u(z) = 16*z**4 + 16*z**3 - 14*z**2 - 16*z + 6. Let i(n) = n**4 + n**3 - n**2 - n + 1. Let p(f) = -8*i(f) + u(f). Factor p(l).
2*(l - 1)*(l + 1)*(2*l + 1)**2
Let t(n) = 45*n**3 - 15*n**2 + 20*n - 25. Let z(l) = 11*l**3 - 4*l**2 + 5*l - 6. Let x(b) = 6*t(b) - 25*z(b). Let x(d) = 0. What is d?
0, 1
Let p(r) be the third derivative of r**8/30240 - r**5/20 + r**2. Let c(b) be the third derivative of p(b). Factor c(i).
2*i**2/3
Let i(b) be the second derivative of -b**6/135 - b**5/90 + b**4/18 + b**3/27 - 2*b**2/9 - 10*b. Determine p, given that i(p) = 0.
-2, -1, 1
Let b(a) be the second derivative of a**5/80 - a**4/12 + a**3/6 + 3*a. Factor b(z).
z*(z - 2)**2/4
Let y(d) = 4*d**3 + 5*d**2 + 13*d. Let h(s) = 2*s**3 