*2. Let z(g) = 0. What is g?
-3, -2, -1, 1
Suppose -3*i + 5*i = 4. Suppose -l = -4*j - 2 + 5, 2*l - 5*j = -3. Factor 7*t**2 - 4*t**2 + 2*t - 2*t**i + l.
(t + 1)**2
Let u(r) be the first derivative of 7*r**4/2 - 6*r**3 - 12*r**2 + 8*r - 24. Factor u(s).
2*(s - 2)*(s + 1)*(7*s - 2)
Let z(u) = 5*u + 48. Let q be z(-9). Let t(v) be the second derivative of -1/80*v**5 + 1/16*v**4 - 4*v + 0 - 1/8*v**q + 1/8*v**2. Solve t(c) = 0 for c.
1
Let f(q) be the second derivative of -1/36*q**4 + 1/3*q**2 + 0 - 5*q + 1/18*q**3. Factor f(p).
-(p - 2)*(p + 1)/3
Suppose 4*u = u + 96. Let i be 8/u + 18/56. Factor 2/7*m - i + 2/7*m**2.
2*(m - 1)*(m + 2)/7
Let w(n) = -n**2 + 8*n - 3. Let k be w(7). Determine s, given that -2*s**2 - s**2 + 1 - 2 + k*s**2 = 0.
-1, 1
Suppose 40 = 5*x - t + 5*t, 0 = -t + 5. Let s(m) be the second derivative of 0 - 2*m - 1/3*m**2 - 3/10*m**5 - 5/6*m**x - 7/9*m**3. Factor s(c).
-2*(c + 1)*(3*c + 1)**2/3
Let 1/3 - 1/2*k + 0*k**2 + 1/6*k**3 = 0. What is k?
-2, 1
Let w(q) be the first derivative of q**6/180 + q**5/60 - q**4/6 - 2*q**3/3 + 1. Let s(d) be the third derivative of w(d). Let s(b) = 0. Calculate b.
-2, 1
Let y(d) be the second derivative of -5*d + 1/50*d**5 + 0 + 0*d**2 - 2/15*d**4 + 4/15*d**3. Factor y(z).
2*z*(z - 2)**2/5
Solve 3*q**2 - 25 + 4*q**2 - 6*q**2 + 10*q - 2*q**2 = 0.
5
Suppose 0*l + 4*l - 8 = 0. Solve 2*v - l*v**3 + 3*v - v - 4*v**2 - 6*v = 0.
-1, 0
Let v(j) = 17*j**3 - 9*j**2 - 4*j - 17. Let f(r) = 4*r**3 - 2*r**2 - r - 4. Let t(z) = -26*f(z) + 6*v(z). What is u in t(u) = 0?
-1, 1
Find r such that 0 + 4/3*r + 2*r**3 - 3*r**2 - 1/3*r**4 = 0.
0, 1, 4
Let v(p) be the first derivative of 3*p**5/2 - 3*p**4 + p**3/2 + 3*p**2/2 + 11. Find h, given that v(h) = 0.
-2/5, 0, 1
Let z(c) be the second derivative of 0*c**2 + 1/24*c**3 + 1/48*c**4 - 2*c + 0. Let z(m) = 0. Calculate m.
-1, 0
Let c be 8/(-304)*(-3 + -1). Factor -2/19*l**2 + 0*l - c*l**4 + 0 - 4/19*l**3.
-2*l**2*(l + 1)**2/19
Let n(u) = -3*u**2 + u - 4. Let f(b) = -2*b**2 + b - 3. Let o(l) = 4*f(l) - 3*n(l). Let r(q) = -2*q**2 - 6*q. Let p(t) = -4*o(t) - r(t). Factor p(d).
-2*d*(d - 1)
Let j(r) = r**2 - 12*r + 9. Let p(n) = -3*n**2 + 35*n - 27. Let g(o) = 17*j(o) + 6*p(o). What is a in g(a) = 0?
3
Suppose -4*c + 6*c - 8 = 0. Solve 2*k**c + 1 - 6*k**3 + 7*k**4 + 9*k - 1 - 3 - 3*k**5 - 6*k**2 = 0 for k.
-1, 1
Find x such that -1/2 - 1/2*x**2 - x = 0.
-1
Let g(d) be the first derivative of -1/18*d**3 - 1/180*d**5 + 0*d + 1/36*d**4 + 3/2*d**2 - 1. Let p(f) be the second derivative of g(f). Factor p(t).
-(t - 1)**2/3
Let o(a) be the second derivative of a**7/84 - a**6/12 + a**5/4 - 5*a**4/12 + 5*a**3/12 - a**2/4 - 5*a. Suppose o(p) = 0. What is p?
1
Factor 3/8 + 1/8*z**2 - 1/2*z.
(z - 3)*(z - 1)/8
Let a be (-8)/(-6) - 4/(-6). Suppose a*x = -x + 9. Factor -2*v**3 - 2*v**4 + x*v**4 + v**2 - 2*v**3 + 3*v**2.
v**2*(v - 2)**2
Let t(l) = l**3 + 7*l**2 + 2*l. Let j be t(-5). Let k be j/18 + 4/(-18). Suppose u**k - 2/3 + u - 2/3*u**3 = 0. What is u?
-1, 1/2, 2
Let d = 22 + -7. Determine x so that -18*x**3 - 17*x + 3*x**4 - 12*x**2 + d*x - 11*x**4 = 0.
-1, -1/4, 0
Let o be (-6)/10 + 342/95. Let t(w) be the second derivative of 0*w**o + 0*w**2 + 0*w**6 - 3*w - 1/14*w**7 + 3/20*w**5 + 0*w**4 + 0. Factor t(i).
-3*i**3*(i - 1)*(i + 1)
Let g(h) be the second derivative of h**5/120 + h**4/6 + 4*h**3/3 + h**2/2 + 7*h. Let a(b) be the first derivative of g(b). Determine f, given that a(f) = 0.
-4
Let o = -34 + 19. Let x = -11 - o. Factor -6*g**2 + g + 0 - 25/4*g**x + 45/4*g**3.
-g*(g - 1)*(5*g - 2)**2/4
Suppose 5*l + 0 = 10. Let w = 5 - l. Find p such that 9*p**3 + 2*p**2 - 3*p**w - 4*p**3 = 0.
-1, 0
Suppose 2*c = -w - 20, -5*c - w = -3*w + 41. Let i = 12 + c. Determine n, given that 1/3*n**5 - 2/3*n**2 + 1/3 + 1/3*n + 1/3*n**4 - 2/3*n**i = 0.
-1, 1
Let p be (0 - 1/(-1))*0. Let y(a) be the third derivative of p*a + 1/300*a**5 + 2/15*a**3 - 3*a**2 + 0 + 1/30*a**4. Find b such that y(b) = 0.
-2
Let w be (5 + -3)/((-8)/(-229)). Let p = w + -57. Factor p*q**2 - 1/4 + 3/4*q - 3/4*q**3.
-(q - 1)*(q + 1)*(3*q - 1)/4
Let r(u) be the first derivative of u**4/4 - 7*u**3/15 + u**2/5 - 6. Determine n so that r(n) = 0.
0, 2/5, 1
Factor -3/5*z - 1/5*z**3 + 0 - 4/5*z**2.
-z*(z + 1)*(z + 3)/5
Let c = -647/14 - -93/2. Factor -4/7*a**3 - 2/7*a**4 + c + 4/7*a + 0*a**2.
-2*(a - 1)*(a + 1)**3/7
Suppose -j = -0*j - 10. Let u(s) = s - 8. Let p be u(j). Factor 0 + 5/3*i**p - 8/3*i**3 - 1/3*i + 4/3*i**4.
i*(i - 1)*(2*i - 1)**2/3
Let k(c) be the third derivative of c**7/315 - 2*c**6/45 + c**5/5 - 4*c**4/9 + 5*c**3/9 + 2*c**2 + 14*c. Factor k(m).
2*(m - 5)*(m - 1)**3/3
Suppose 3*f - 6 = -2*f - s, -5*f + 4*s + 26 = 0. Let k(x) be the first derivative of 2/3*x**6 - 2/3*x**3 + 0*x + 3/2*x**4 - f - x**2 + 2*x**5. Factor k(q).
2*q*(q + 1)**3*(2*q - 1)
Suppose 0 = -2*x - 0*c - 2*c - 124, 54 = -x - 3*c. Let w be (3/9)/((-1)/x). What is r in 0*r**5 - r**5 + w*r**4 + 18*r**2 - 4*r - 5*r**5 - 30*r**3 = 0?
0, 2/3, 1
Let k(w) be the third derivative of -w**6/40 - 7*w**5/40 - w**4/8 + 3*w**3/4 + 4*w**2. Factor k(z).
-3*(z + 1)*(z + 3)*(2*z - 1)/2
Let k(p) = p**3 - 6*p**2 - 3*p - 8. Let u be k(7). Let n = -20 + u. Factor 12/5*f**4 + n - 18/5*f**3 - 3/5*f**5 + 12/5*f**2 - 3/5*f.
-3*f*(f - 1)**4/5
Solve -4 + 2*o - 3 - 1 + 2*o + 4*o**2 = 0.
-2, 1
Let l(a) be the third derivative of -a**7/42 + a**6/6 - a**5/2 + 5*a**4/6 - 5*a**3/6 - 2*a**2. Factor l(w).
-5*(w - 1)**4
Let a = 214/651 + -4/93. Suppose 5*g - 4 - 19 = -4*c, -5*g + 15 = 0. Solve -a*l**c + 2/7*l + 4/7 = 0.
-1, 2
Factor 1/5*y**4 + 0*y + 0 + 1/5*y**2 + 2/5*y**3.
y**2*(y + 1)**2/5
Suppose m - 8*m + 21 = 0. Let g(a) be the second derivative of -2*a - 2/3*a**2 - 1/30*a**5 + 1/9*a**m + 0 + 1/9*a**4. Factor g(q).
-2*(q - 2)*(q - 1)*(q + 1)/3
Let x(z) = -3*z**2 - 2 + 2*z + 4 - z**3 - 2*z. Let j be x(-3). Solve -q + q**2 - 3*q**j - 2*q**3 + 3*q + 2 = 0.
-1, 1
Suppose 12/5*y**3 + 6/5 - 3*y**2 - 21/5*y = 0. What is y?
-1, 1/4, 2
Let s(d) be the first derivative of -21*d**4/20 + 19*d**3/5 - 12*d**2/5 - 12*d/5 - 8. Factor s(k).
-3*(k - 2)*(k - 1)*(7*k + 2)/5
Let a be (-28 + 23)*(-24)/260. Solve 2/13*p**2 + 4/13*p - a = 0 for p.
-3, 1
Let l = -143/15 + 61/5. Determine f, given that -l + 40/3*f - 50/3*f**2 = 0.
2/5
Let g(d) be the second derivative of -d**4/7 - 4*d**3/21 - 20*d. Determine h so that g(h) = 0.
-2/3, 0
Let q = -14 + 16. Suppose q*c = -2*c. Suppose 1/3*v**3 - v**2 + c*v + 4/3 = 0. What is v?
-1, 2
Let v(k) be the second derivative of 4*k - 1/26*k**5 + 7/78*k**4 + 0 - 4/13*k**2 + 8/39*k**3. Find b, given that v(b) = 0.
-1, 2/5, 2
Let g(w) be the first derivative of w**7/385 - 7*w**6/660 + w**5/110 + w**4/44 - 2*w**3/33 - w**2 - 1. Let h(y) be the second derivative of g(y). Factor h(u).
2*(u - 1)**3*(3*u + 2)/11
Determine h so that -6*h**3 - 6 - 6 + 152*h**4 + 9*h + 15*h**2 - 3*h**3 - 155*h**4 = 0.
-4, -1, 1
Let g(i) be the third derivative of -i**6/1800 - i**5/600 + i**3/6 + 2*i**2. Let y(t) be the first derivative of g(t). Factor y(j).
-j*(j + 1)/5
Let x(p) be the third derivative of -p**8/3360 - p**7/630 + p**6/360 + p**5/30 + p**4/12 + 6*p**2. Let c(n) be the second derivative of x(n). Factor c(g).
-2*(g - 1)*(g + 1)*(g + 2)
Let h = -7 + 11. Let -3*a**3 + 4*a**2 - 2*a**4 + 3*a**5 - 2*a**2 + a**4 - a**h = 0. Calculate a.
-1, 0, 2/3, 1
Find j such that -3/7*j**2 - 192/7 - 48/7*j = 0.
-8
Let c = -58/9 + 1169/180. Let l(w) be the second derivative of -1/12*w**4 + 1/2*w**2 + 0 + 2*w - 1/6*w**3 + c*w**5. Let l(g) = 0. What is g?
-1, 1
Let j(f) be the second derivative of 1/35*f**5 + 0*f**2 - 2/21*f**3 + 0 - 7*f + 1/21*f**4 - 2/105*f**6. Solve j(x) = 0 for x.
-1, 0, 1
Let p(r) be the second derivative of -5*r**7/84 - 5*r**6/12 - 5*r**5/4 - 25*r**4/12 - 25*r**3/12 - 5*r**2/4 + 5*r. Solve p(c) = 0 for c.
-1
Let c be 2 - ((-8)/(-2) + -12 + 6). Determine a, given that 2/5*a + 2/5*a**2 - 2/5*a**c + 0 - 2/5*a**3 = 0.
-1, 0, 1
Let n(f) be the first derivative of -f**4 + 4*f**3/3 - 3. Factor n(l).
-4*l**2*(l - 1)
Suppose -4*k = -i - i - 24, -i - k - 6 = 0. Let w = i + 1. Let q(a) = a**2 - a. Let s(d) = -4*d**2 + 4*d. Let c(h) = w*q(h) - 2*s(h). Solve c(m) = 0.
0, 1
Let r = -16 - -19. Factor -3*z - 3*z**2 + r*z.
-3*z**2
Let u(d) be the third derivative of d**8/504 - 2*d**7/315 - d**6