*2 - 1 + 2 - 2. Let d(h) = k*z(h) - 3*m(h). Factor d(s).
-(s - 2)*(s + 1)**2
Let c(z) = -z**2 + 4*z + 4. Let b be c(4). Let t(g) = g**3 - 4*g**2 + 3*g - 6. Let s be t(b). Factor -s*v**3 + v**4 + 2*v**4 + 3*v**2 + 6*v**3 - 6*v**3.
3*v**2*(v - 1)**2
Suppose -6*w + 6 = -4*w. Determine p so that -1/4*p + 0 + 0*p**2 + 1/4*p**w = 0.
-1, 0, 1
Let m(a) = -17*a**2 - 15*a + 6. Let p(b) = 84*b**2 + 74*b - 32. Let d(s) = 11*m(s) + 2*p(s). Let d(v) = 0. What is v?
-1, 2/19
Let n(q) be the third derivative of -q**6/90 - q**5/15 - q**4/9 - 17*q**2. Suppose n(i) = 0. What is i?
-2, -1, 0
Let t(a) be the third derivative of -2/15*a**3 + 1/600*a**6 + 0*a + 0*a**4 + 2*a**2 + 0 + 1/100*a**5. Let t(o) = 0. What is o?
-2, 1
Let b(v) be the first derivative of 0*v**4 + 1/1800*v**6 - 1/600*v**5 + 0*v**2 + 0*v - 2/3*v**3 + 3. Let n(u) be the third derivative of b(u). Factor n(y).
y*(y - 1)/5
Let 1/3*l**2 + 1/3 - 2/3*l = 0. Calculate l.
1
Let a(g) = -g**4 + g**3 + g**2 - g. Let c(t) = -t**3 + 2*t**2 - t. Let j(m) = 2*a(m) + 2*c(m). Factor j(w).
-2*w*(w - 1)**2*(w + 2)
Let d(a) be the second derivative of a**5/180 - a**4/36 + a**3/18 - a**2 - 6*a. Let w(c) be the first derivative of d(c). Let w(k) = 0. What is k?
1
Let s be 64/28 - (-3)/((-3)/2). Factor 4/7*v - s*v**2 - 2/7.
-2*(v - 1)**2/7
Let m be (-3)/12 - (-9)/4. Factor -w**3 + 1/4*w**m + 0*w + 0 + 3/4*w**4.
w**2*(w - 1)*(3*w - 1)/4
Let i be 1 + (-2)/(-2) + -1. Let t = 1 + i. Factor -2/5 - 2/5*d**t + 4/5*d.
-2*(d - 1)**2/5
Let n(g) be the third derivative of -g**5/360 + g**3/36 + 27*g**2. Find t such that n(t) = 0.
-1, 1
Let y be ((-12)/(-4))/((-2)/(-2)). Suppose 0*p**3 + 4*p**2 + p**3 - p**2 - 4*p**y = 0. Calculate p.
0, 1
Suppose 0 = -5*g - 3*n + 20 + 25, 7 = 2*g - n. Let h = -2 + g. Factor 0*l**5 + 5*l**5 - l**5 + 2*l**3 + 4*l**5 + 10*l**h.
2*l**3*(l + 1)*(4*l + 1)
Let z = 434 - 431. Factor -2/5*m**4 + 2/5*m + 0 - 2/5*m**z + 2/5*m**2.
-2*m*(m - 1)*(m + 1)**2/5
Factor -2/9 + 4/9*v - 2/9*v**2.
-2*(v - 1)**2/9
Let d(k) be the second derivative of -9/80*k**5 + 0*k**2 + 0 - 2*k + 1/40*k**6 - 1/8*k**3 + 3/16*k**4. Solve d(s) = 0.
0, 1
Let g(d) be the second derivative of 3*d + 0 - 1/36*d**4 + 1/270*d**5 - 1/2*d**2 + 2/27*d**3. Let c(k) be the first derivative of g(k). Factor c(o).
2*(o - 2)*(o - 1)/9
Suppose 32*s + 256/3 + 4*s**2 + 1/6*s**3 = 0. Calculate s.
-8
Let j(l) be the third derivative of -l**6/160 + l**4/32 + 4*l**2. Factor j(h).
-3*h*(h - 1)*(h + 1)/4
Let r(s) be the first derivative of 3*s**4/8 + 3*s**3/2 - 6*s - 11. Suppose r(b) = 0. Calculate b.
-2, 1
What is d in -2*d**2 - 2 + 3*d + 2 + 3*d**2 = 0?
-3, 0
Let b(n) be the first derivative of -1/30*n**5 + 1/3*n**2 + 3*n - 1/18*n**4 + 1/9*n**3 - 2. Let k(h) be the first derivative of b(h). Let k(m) = 0. Calculate m.
-1, 1
Let z(p) = -2*p**3 - 15*p**2 + 42*p - 22. Let l(k) = -3*k**3 - 15*k**2 + 43*k - 23. Let f(n) = 3*l(n) - 2*z(n). Factor f(x).
-5*(x - 1)**2*(x + 5)
Let l = -1/544 + -805/5984. Let y = 4/11 - l. Find k such that -3/2*k**2 - 1/2*k**3 - y - 3/2*k = 0.
-1
Let u(h) be the first derivative of -h**8/448 - h**7/70 - h**6/32 - h**5/40 + 3*h**2/2 + 1. Let a(q) be the second derivative of u(q). Factor a(m).
-3*m**2*(m + 1)**2*(m + 2)/4
Let k be 1/(75/(-20) - -4). Let p(j) be the third derivative of 0*j - 1/60*j**6 + 1/3*j**3 + j**2 + 0 + 1/12*j**k - 1/30*j**5. Factor p(y).
-2*(y - 1)*(y + 1)**2
Let w(g) be the second derivative of 0*g**2 + 1/20*g**5 + 0*g**3 + 1/12*g**4 + g + 0. Factor w(z).
z**2*(z + 1)
Find x, given that -6*x**2 - 8*x**2 + 4*x**3 + 2*x**3 + 17*x**2 = 0.
-1/2, 0
Let d(l) be the third derivative of -l**5/15 + l**4/6 - 4*l**2. Find g such that d(g) = 0.
0, 1
Let r(d) be the first derivative of -d**6/3 - 4*d**5/5 + 2*d**4 + 16*d**3/3 - 15. Suppose r(w) = 0. What is w?
-2, 0, 2
Suppose 3*l - 3*y = -21, -17 - 10 = 3*l - 5*y. Let s be 5 + l + (1 - 0). Factor -2*q**s + q**2 + 0*q**3 + 2*q**3 - 4*q + 3*q**2.
2*q*(q - 1)*(q + 2)
Let p(n) = -3*n**4 - 6*n**3 - 2*n**2 + 6*n + 5. Let m(l) = -l**2 + 1. Let u(w) = 2*m(w) - p(w). Factor u(s).
3*(s - 1)*(s + 1)**3
Factor -42 + 56 - 44 - 5*d**2 + 25*d.
-5*(d - 3)*(d - 2)
Let o(j) = j**3 + 5*j**2 - 8*j - 7. Let b be o(-6). Factor 6*m**2 - 4*m**3 - 3*m**3 + b*m**4 - 4*m**2.
m**2*(m - 1)*(5*m - 2)
Let b(c) = c**2 - 2. Let x be b(-2). Suppose -4*d - 9 = -25. Factor 4*l**3 + 6*l**d - 2*l**x + 0*l**3 + 0*l**3.
2*l**2*(l + 1)*(3*l - 1)
Let p(x) = -x**3 - 3*x**2 + 2*x + 2. Let u be p(-2). Let a be 1/(u/4 + 2). Factor 0 - 2/5*z**a + 0*z.
-2*z**2/5
Let p(j) be the third derivative of -j**7/840 - j**6/480 + 6*j**2. Suppose p(y) = 0. What is y?
-1, 0
Let c(k) be the first derivative of -3*k**4/20 + k**3/5 + 3*k**2/10 - 3*k/5 + 17. Determine x so that c(x) = 0.
-1, 1
Let o(v) be the second derivative of -v**5/70 + v**4/42 + 5*v. Solve o(k) = 0.
0, 1
Factor 0*y**4 - 1/2*y**5 + 2*y**3 + y**2 - 3/2*y - 1.
-(y - 2)*(y - 1)*(y + 1)**3/2
Let y(q) be the first derivative of 0*q + 2*q**2 - 3 + 2/5*q**5 + 10/3*q**3 + 2*q**4. Factor y(h).
2*h*(h + 1)**2*(h + 2)
Let o be ((-15)/(-6))/5 - (-16)/16. Factor 0 - 3/4*b**4 - 9/4*b**3 - o*b**2 + 0*b.
-3*b**2*(b + 1)*(b + 2)/4
Factor 9*i**4 - 14*i**2 - 28*i**2 - 3*i**3 + 27*i - 6 + 15*i**2.
3*(i - 1)**2*(i + 2)*(3*i - 1)
Let x(s) be the first derivative of 3*s**5 - 55*s**4/4 + 55*s**3/3 - 5*s**2/2 - 10*s + 13. Factor x(u).
5*(u - 2)*(u - 1)**2*(3*u + 1)
Let u(z) be the second derivative of 5*z**7/21 + 9*z**6/5 + 11*z**5/2 + 53*z**4/6 + 8*z**3 + 4*z**2 + 7*z. Factor u(y).
2*(y + 1)**3*(y + 2)*(5*y + 2)
Suppose 50 + 51 = -4*o - 5*n, -o = -5*n + 19. Let f be o/80*(-10)/12. Factor f*b**3 + 0 + 0*b - 1/4*b**2.
b**2*(b - 1)/4
Suppose 2/3*g**4 - 26/3*g + 10*g**2 + 8/3 - 14/3*g**3 = 0. Calculate g.
1, 4
Let m(b) be the second derivative of -23/20*b**5 - 2*b - 13/6*b**3 - 9/4*b**4 - b**2 + 0 - 7/30*b**6. Factor m(w).
-(w + 1)**3*(7*w + 2)
Let o = -2/27 - -41/189. Let p(b) be the first derivative of o*b**4 + 2/35*b**5 + 0*b**2 + 3 + 0*b + 2/21*b**3. Solve p(v) = 0 for v.
-1, 0
Let l(q) = -5*q**2 - 4*q. Let j(u) = 2*u - 6. Let t be j(5). Let a(c) = 0*c + c**2 - 5*c**2 - t*c. Let m(w) = 7*a(w) - 6*l(w). Factor m(d).
2*d*(d - 2)
Solve -6/5 + 3*c**2 + 9/5*c = 0.
-1, 2/5
Let q(a) be the third derivative of a**9/7560 + a**8/4200 + 2*a**3/3 + 3*a**2. Let w(h) be the first derivative of q(h). Solve w(b) = 0.
-1, 0
Let r(h) = -h**2 - h - 1. Let s be r(4). Let z = s + 85/4. Factor 0 + z*m - m**2.
-m*(4*m - 1)/4
Let l(g) be the first derivative of -g**7/21 - 2*g**6/15 - g**5/10 - 2*g + 3. Let d(s) be the first derivative of l(s). Factor d(q).
-2*q**3*(q + 1)**2
Let b(k) be the third derivative of -k**9/3780 + k**8/1120 + k**7/630 + 3*k**4/8 + 4*k**2. Let w(u) be the second derivative of b(u). Find x such that w(x) = 0.
-1/2, 0, 2
Let p(x) = x**3 + 4*x**2 + 5*x + 6. Suppose -2*w + 5*w = -4*o - 27, -4*w = o + 23. Let c be p(o). Factor -2/9*r**2 + c + 4/9*r.
-2*r*(r - 2)/9
Let y be 10/4 - (-1)/(-2). Let z(r) = r**2 - 7*r - 5. Let h be z(8). Suppose -5*i**2 + 8*i**y + h*i**2 + 8*i - 8 = 0. Calculate i.
-2, 2/3
Let v = 62/2927 - 223030/1132749. Let k = 2/43 - v. Factor -k*s**2 + 4/9*s + 0.
-2*s*(s - 2)/9
Solve 20*y + 0*y**2 - 3*y**2 - 31*y + 17*y = 0 for y.
0, 2
Suppose -5*i**3 + 2 - 8*i**2 + 2 - 1 - 1 - i = 0. What is i?
-1, 2/5
Suppose 0 = -2*f + 9 - 3. Suppose -1 + f = h. Find g, given that 1 + g**3 + 0*g + 3 - 3*g**h + 0*g = 0.
-1, 2
Factor 0*m**2 - 2/7*m**3 + 0 + 8/7*m.
-2*m*(m - 2)*(m + 2)/7
Let k(w) = -3*w**3 - w**2 + 5*w + 8. Let p(a) = -a**3 + a + 1. Let g(j) = -k(j) + 5*p(j). Let i(u) be the first derivative of g(u). Solve i(c) = 0 for c.
0, 1/3
Suppose 4*l - 4 = j, 4*j - 4*l = -j + 12. Suppose -3*m + 5 = j*d, 5*m + 8 = 3*d - 3. Determine c, given that 2/9 - 8/9*c**4 + 10/9*c**3 + 2/3*c**d - 10/9*c = 0.
-1, 1/4, 1
Suppose 0 = 5*x - o - 13, -3*x - 2*x + 4*o = -22. Let g(c) be the first derivative of 3 - 5/4*c**4 + 2*c**x + 1/5*c**5 + 2*c**3 - 8*c. Factor g(w).
(w - 2)**3*(w + 1)
Let c be (0 - (-3 + 1)) + (0 - 0). Let 1/5 - 1/5*x**c + 1/5*x - 1/5*x**3 = 0. What is x?
-1, 1
Let d be (4/6)/((-14)/(-6)). Suppose 5*k + 79 = 89. Suppose 2/7*v + d*v**k + 0 = 0. What is v?
-1, 0
Factor 6/7*v + 8/7 - 2/7*v**2.
-2*(v - 4)*(v + 1)/7
Suppose -2 = -5*s + 13. Factor -g**4 + 5*g**3 - s - 7*g**3 + 3.
-g**3*(g + 