+ 6*c**3 - 8*c**2 - 2. Let p(q) = -q**5 + q**4 - q**3 + 1. Let n be (-1)/4*(-1 + 5). Let d(t) = n*h(t) - 2*p(t). Factor d(g).
4*g**2*(g - 2)*(g - 1)*(g + 1)
Suppose 440 = 3*d + 431. Factor -2/3 - 2*v - 2*v**2 - 2/3*v**d.
-2*(v + 1)**3/3
Let f(x) be the first derivative of -x**4/10 - 6*x**3/5 - 27*x**2/5 - 54*x/5 + 1. Factor f(k).
-2*(k + 3)**3/5
Let n = 122 - 1463/12. Let w(l) be the first derivative of -1/6*l**2 + 2 + 1/9*l**3 + n*l**4 - 1/3*l. Suppose w(h) = 0. Calculate h.
-1, 1
Let g(t) be the first derivative of t**6/40 - t**4/8 - 7*t**2/2 - 9. Let y(l) be the second derivative of g(l). Factor y(q).
3*q*(q - 1)*(q + 1)
Let x(t) be the third derivative of t**8/56 - 3*t**7/70 + t**6/40 + 10*t**2. Determine s, given that x(s) = 0.
0, 1/2, 1
Let l(c) be the second derivative of c**7/42 + c**6/30 - c**5/10 + 28*c. Factor l(s).
s**3*(s - 1)*(s + 2)
Let q(h) be the first derivative of -4*h**3/7 - 4*h**2/7 - 19. Suppose q(f) = 0. What is f?
-2/3, 0
Suppose 1/6*n**2 + 1/6*n**3 + 0 - 1/6*n - 1/6*n**4 = 0. What is n?
-1, 0, 1
Let f(s) be the second derivative of -s**5/90 + s**4/6 - s**3 + 3*s**2 - 4*s. Determine w, given that f(w) = 0.
3
Let s be 6262/84 + 6/21. Let g = 75 - s. Suppose g*c**2 + 0 - 1/6*c = 0. What is c?
0, 1
Factor -1/2*a**2 + 1 + 1/2*a.
-(a - 2)*(a + 1)/2
Let j(i) = i - 3. Let l be j(3). Suppose 3*q - 4*q = l. Factor 2/7*x**2 - 2/7*x**3 - 2/7*x**4 + q + 2/7*x.
-2*x*(x - 1)*(x + 1)**2/7
Factor 54/5*h**2 - 54/5*h**3 + 2/5 - 18/5*h.
-2*(3*h - 1)**3/5
Factor 1/2*g + 1/2*g**5 + 2*g**2 + 2*g**4 + 0 + 3*g**3.
g*(g + 1)**4/2
Let y(g) = -g**2 + 35*g + 128. Let t(f) = -f**2 + f. Let b(a) = -3*t(a) + y(a). Let b(h) = 0. Calculate h.
-8
Let m = 31 - 31. Let k(i) be the third derivative of 2*i**2 + 1/105*i**5 + 0*i + 0 + 0*i**4 + 0*i**3 - 1/140*i**6 + 1/1176*i**8 + m*i**7. Factor k(w).
2*w**2*(w - 1)**2*(w + 2)/7
Let c(s) be the second derivative of s**5/30 - s**4/3 + 4*s**3/3 + 5*s**2/2 - 2*s. Let i(y) be the first derivative of c(y). Factor i(r).
2*(r - 2)**2
Let s be 68/70 + (24/20)/(-3). Solve 0 + s*k**3 - 2/7*k**4 + 0*k - 2/7*k**2 = 0 for k.
0, 1
Let o(c) = -c**2 + 11*c + 10. Let k be o(11). Factor -8*i**3 + 6 + 11*i**3 - k*i + i.
3*(i - 1)**2*(i + 2)
Let s(k) be the second derivative of -k**5/100 - k**4/15 + k**3/10 + 9*k**2/5 + 15*k. Factor s(c).
-(c - 2)*(c + 3)**2/5
Let u(p) be the second derivative of 5/21*p**3 - 5*p + 1/70*p**5 - 2/21*p**4 + 0 - 2/7*p**2. Let u(m) = 0. Calculate m.
1, 2
Let q(c) = c**3 + 2*c**2 - 7*c + 2. Let m(s) = 7*s**3 + 11*s**2 - 43*s + 12. Let a(x) = -6*m(x) + 39*q(x). Factor a(v).
-3*(v - 2)*(v - 1)**2
Suppose 3*s = 2*s + 3*f - 3, 2*f = -2*s + 18. Determine v so that -4*v**4 + 2*v**5 - s*v**5 + 2*v + 4*v**2 + 2*v**5 = 0.
-1, 0, 1
Let q be (-2)/(-9) + 200/72. Factor 0*m**2 - m**4 + 0*m**2 - m**2 - 2*m**q.
-m**2*(m + 1)**2
Let m(p) be the second derivative of -2*p**6/135 + 2*p**5/15 - p**4/3 + 19*p. Factor m(w).
-4*w**2*(w - 3)**2/9
Find t, given that 35*t**2 - 10*t + 16*t**2 + 0*t - 15*t**3 - 16*t**2 = 0.
0, 1/3, 2
Let o(c) be the third derivative of 0*c**4 + 1/35*c**7 - 1/10*c**5 + 0*c - 1/8*c**6 + 2*c**2 + 5/112*c**8 + 0 + 0*c**3. Find r such that o(r) = 0.
-1, -2/5, 0, 1
Suppose 3*c + 3*b + 15 = -2*b, 3 = -2*c - b. Let w(o) be the third derivative of 1/180*o**5 + c + 3*o**2 + 0*o**3 + 0*o**4 + 0*o. What is t in w(t) = 0?
0
Let j(i) = 3*i - 2. Let b be j(3). Factor -p**5 - 8*p**4 + b*p**5 + 17*p**4 - 3*p**2.
3*p**2*(p + 1)**2*(2*p - 1)
Let f = 20/13 - 27/26. Let -1/2*j**3 + 1/4*j**5 + 1/4*j + f*j**2 - 1/4*j**4 - 1/4 = 0. What is j?
-1, 1
Let l(z) = -79*z**3 - 165*z**2 + 168*z - 40. Let j(w) = -396*w**3 - 825*w**2 + 840*w - 201. Let a(k) = 4*j(k) - 21*l(k). Factor a(h).
3*(h + 3)*(5*h - 2)**2
Let w(k) be the third derivative of k**5/20 - k**4/8 - 11*k**2. Suppose w(b) = 0. What is b?
0, 1
Let w(f) = -f + 10. Let s be w(8). Let b(u) be the second derivative of 1/2*u**s + 0 - 1/6*u**3 + 1/48*u**4 - 2*u. Factor b(z).
(z - 2)**2/4
Factor -1/3*b**2 - 4/3 - 4/3*b.
-(b + 2)**2/3
Let i(z) be the first derivative of z**2/2 + 1. Let p be i(-2). Let x(a) = a**2 - 6*a - 2. Let b(g) = 6*g + 3. Let o(t) = p*b(t) - 3*x(t). Factor o(c).
-3*c*(c - 2)
Let w(q) = -q**2 + q. Let k(s) be the first derivative of -4*s**3/3 + 4*s**2 - 4*s + 1. Let d be 6 + 0*(3 + -2). Let a(t) = d*w(t) - k(t). Factor a(n).
-2*(n - 1)*(n + 2)
Let n(s) = 10*s**2 - 88*s + 490. Let m(q) = 9*q**2 - 88*q + 489. Let u(w) = -6*m(w) + 5*n(w). Factor u(z).
-4*(z - 11)**2
Factor 0 + 0*q**2 + 0*q + 2/9*q**4 + 2/9*q**3.
2*q**3*(q + 1)/9
Let u(h) = h + 5. Let s be u(-4). Let v be (3 - s) + -2 + 2. Find w such that w**v - 3*w**2 + 3*w**2 = 0.
0
Let r(b) be the first derivative of b**5/35 + 5*b**4/14 + 37*b**3/21 + 30*b**2/7 + 36*b/7 + 18. Factor r(j).
(j + 2)**2*(j + 3)**2/7
Let r(a) = a**3 + 7*a**2 + a + 4. Let c be r(-7). Let m be c + -1 + 3 - -3. Factor 4*y**2 + y**3 - 2*y**m + 0*y**3.
y**2*(y + 2)
Let f(n) be the first derivative of 1/2*n**4 + 3 - 1/6*n**6 + 0*n**3 + 0*n**2 - 1/5*n**5 + 0*n. Factor f(j).
-j**3*(j - 1)*(j + 2)
Let f = -33 + 67/2. Let i = 33 + -65/2. Factor 1/2*d**3 - f - i*d + 1/2*d**2.
(d - 1)*(d + 1)**2/2
Let g(u) = u**2 - 6*u + 5. Let v be g(6). Factor 202*d**5 + 122*d + 141*d**v - 980*d**4 + 1015*d**3 - 6 - 22*d - 2 - 470*d**2.
(d - 1)**2*(7*d - 2)**3
Let g(y) = y**2 - y. Let a be g(2). Solve 0 - 18/5*n**a + 4/5*n = 0 for n.
0, 2/9
Let n(r) be the third derivative of -7/48*r**4 - 1/40*r**5 + 0 - 1/6*r**3 + 1/84*r**7 - 4*r**2 + 7/240*r**6 + 0*r. Factor n(o).
(o - 1)*(o + 1)**2*(5*o + 2)/2
Let w(r) = -2*r - 4. Suppose t - 1 + 2 = f, -5*t + 3*f = 9. Let n be w(t). Factor -2*c**2 + 3*c**n - 5*c**4 + 4*c**4.
-c**2*(c - 1)*(c + 1)
Let k(z) = -z**2 - 1. Let y be (-8)/(-6)*(-8 + 5). Let m(g) = -3*g + 6*g**2 - g**2 + 2*g**2. Let x(w) = y*k(w) - 2*m(w). Suppose x(s) = 0. What is s?
-2/5, 1
Let i be (-2 - 27/(-12))/30. Let v(s) be the second derivative of 0 + 1/48*s**4 + s + i*s**6 + 0*s**3 + 1/40*s**5 + 0*s**2. Factor v(j).
j**2*(j + 1)**2/4
Let a be (-147)/(-30) - 2/5. Let q = 19/4 - a. Let 1/4*x + 1/2*x**2 + 0 + q*x**3 = 0. Calculate x.
-1, 0
Factor 3 - 3/2*s**2 + 3/2*s.
-3*(s - 2)*(s + 1)/2
Suppose 8 + 37 = 5*v. Suppose -5*o + v = -1. Factor -4*p**4 - p + 0*p**2 - 4*p**5 + 0*p + o*p**2 + 3*p**3.
-p*(p + 1)**2*(2*p - 1)**2
Let p(u) be the third derivative of -u**8/84 + u**6/10 - 2*u**5/15 - 11*u**2. Factor p(q).
-4*q**2*(q - 1)**2*(q + 2)
Let d be 7 - 5/((-15)/6). Let n be (d/(-48))/((-1)/4). Factor -3/2*c**2 + 3/4*c + n*c**3 + 0.
3*c*(c - 1)**2/4
Let s = 12 - 0. Find f, given that 8 + 0*f + s*f - 3*f**2 + 10*f**3 + 9*f**2 - 9*f**3 = 0.
-2
Let k(t) be the second derivative of -2/5*t**2 + 1/30*t**4 + 0 - 1/15*t**3 - 5*t. What is u in k(u) = 0?
-1, 2
Let r = -345/8 + 3217/72. Let o = 39 + -37. Suppose -2/9*z**o + r*z - 20/9*z**3 - 4/9 = 0. Calculate z.
-1, 2/5, 1/2
Let u(y) be the first derivative of -y**4/6 - 4*y**3/9 + 4*y**2/3 + 16*y/3 - 10. Let u(w) = 0. What is w?
-2, 2
Let v = 67/161 + -3/23. What is c in -2/7*c**3 + 0 - 2/7*c**2 + 0*c + v*c**4 + 2/7*c**5 = 0?
-1, 0, 1
Find t, given that -2*t + 6*t**3 + 2*t**4 + 3*t**4 - 10*t - 2*t**5 - 14*t**2 + t**4 = 0.
-1, 0, 2, 3
Let y(x) be the second derivative of x**4/12 - 10*x**3/3 + 50*x**2 - 19*x. Factor y(h).
(h - 10)**2
Let l(u) be the second derivative of -u**7/126 - u**6/90 + u**5/12 + u**4/36 - 4*u**3/9 + 2*u**2/3 - 5*u. Let l(s) = 0. Calculate s.
-2, 1
Let f = -16 - -15. Let r(i) = -5*i**2 + 2*i - 5. Let u(h) = -h**2 - 1. Let b(c) = f*r(c) + 4*u(c). Factor b(z).
(z - 1)**2
Let j(m) = 2*m**3 + 10*m**2 - 4*m - 4. Let o(g) = 3*g**3 + 11*g**2 - 4*g - 5. Let f(c) = -5*j(c) + 4*o(c). Factor f(q).
2*q*(q - 2)*(q - 1)
Determine b, given that -4*b**2 + 8/3*b + 0 + 4/3*b**3 = 0.
0, 1, 2
Let q(a) be the first derivative of 9*a**4 + 34/3*a**3 - 2 - 8*a + 2*a**5 + 0*a**2. Factor q(j).
2*(j + 1)**2*(j + 2)*(5*j - 2)
Let p(l) be the second derivative of 3*l - 3/4*l**5 + 0 - 1/2*l**3 - 2*l**4 + 3*l**2. Suppose p(d) = 0. Calculate d.
-1, 2/5
Let s = 84 + -142. Let r = s + 119/2. Factor 1 + 1/2*n**2 + r*n.
(n + 1)*(n + 2)/2
Let d(i) be the third derivative of -i**7/42 - 7*i**6/24 - 5*i**5/4 - 65*i**4/24 - 10*i**3/3 + 14*i**2. Suppose d(v) = 0. What is v?
-4, -1
Let o(v) be the second derivative of v**5/30 - 