2 - 1. Let h(o) = 6*o**5 - 3*o**4 + 3*o**3 - 3*o**2 + 3. Let m(l) = 3*d(l) + h(l). Let m(k) = 0. Calculate k.
0, 1
Find r, given that 0 + 2/9*r**5 + 2/9*r**3 + 4/9*r**4 + 0*r**2 + 0*r = 0.
-1, 0
Let b = 20 - 20. Let u(t) be the third derivative of 0 - 1/1848*t**8 - 1/385*t**7 - 1/330*t**5 + 0*t**3 - 1/220*t**6 - t**2 + 0*t + b*t**4. Factor u(r).
-2*r**2*(r + 1)**3/11
Suppose 4*g**2 - g**3 + g**3 + 2*g**3 - 8*g**3 = 0. Calculate g.
0, 2/3
Let p(h) be the third derivative of 0*h + 1/735*h**7 - 1/210*h**5 + 2*h**2 - 1/420*h**6 + 0*h**3 + 0 + 1/84*h**4. Let p(y) = 0. What is y?
-1, 0, 1
Let q be 2/4*-1*(-16)/20. Factor -2/5*v + q*v**3 + 0*v**2 + 0.
2*v*(v - 1)*(v + 1)/5
Find u, given that 2*u - 2/3 + 2/3*u**3 - 2*u**2 = 0.
1
Let g be ((-1)/(-3))/(2 + -1). Solve 0 + 1/3*c - 1/3*c**4 + 1/3*c**2 - g*c**3 = 0 for c.
-1, 0, 1
Factor -51 - 6*z**4 + 5*z**4 - 6*z + 53 + 2*z**5 + 4*z**2 - 5*z**4 + 4*z**3.
2*(z - 1)**4*(z + 1)
Solve 1/4*u**2 - 3/4 - 1/2*u = 0.
-1, 3
Let i(y) = 6*y**4 - 15*y**3 + 12*y**2. Let p(v) = 7*v**4 - 16*v**3 + 12*v**2. Let q(l) = 4*i(l) - 3*p(l). Factor q(r).
3*r**2*(r - 2)**2
Let u be (26/(-12) + 3)/(40/32). Let h be (-3)/(6/(-4)*9). Let -h*r**2 - 4/9 - u*r = 0. Calculate r.
-2, -1
Let y(p) be the third derivative of 0*p**3 + 0*p**5 + 0*p + 1/660*p**6 + 0*p**4 + 2/1155*p**7 + 1/1848*p**8 + 0 + p**2. What is x in y(x) = 0?
-1, 0
Let p(a) be the second derivative of 0 - 2*a + 1/20*a**6 + 0*a**4 + 0*a**2 + 1/40*a**5 + 0*a**3. Find x such that p(x) = 0.
-1/3, 0
Let h = -225 - -6529/29. Let n = 96/145 + h. Determine g so that -2/5*g**2 - n*g - 2/5 = 0.
-1
Let z(c) = 5*c + 30. Let h be z(-4). Determine o so that h*o**3 - 1/2 - 13/4*o - 4*o**4 - 9/4*o**2 = 0.
-1/4, 1, 2
Let i be -4 + (-5)/((-70)/68). What is l in 0 - i*l**3 - 2/7*l**4 - 4/7*l**2 + 0*l = 0?
-2, -1, 0
Let w = 12068/117 + -1910/13. Let g = 44 + w. Factor 0*d**2 + 4/9*d + 2/9*d**4 - 4/9*d**3 - g.
2*(d - 1)**3*(d + 1)/9
Let y be 96/21 + 12/(-21). Let o(f) be the second derivative of 0*f**2 + 0 - 1/12*f**y - f - 1/6*f**3. Solve o(v) = 0.
-1, 0
Find n, given that -5*n**5 + 5*n**4 + 12 + 11*n**3 - 16*n + 2*n**5 - 9*n**2 - 16 = 0.
-1, -1/3, 2
Let i(v) = -3*v**3 - 6*v**2 - v + 10. Let k(u) = 21*u**3 + 42*u**2 + 6*u - 69. Let p(z) = -27*i(z) - 4*k(z). Find n such that p(n) = 0.
-2, -1, 1
Suppose -5*g + 6 = -2*g. Let h be 1*g - (-16)/(-12). Suppose 4/3*x**2 - 2/3*x - h*x**3 + 0 = 0. Calculate x.
0, 1
Let y be (-64)/(-112) - (-38)/7. Let f(v) = -v**3 - 3*v**2 - v - 1. Let q be f(-3). Factor -y*g**q - 10*g**2 + 9*g**3 + 5*g + 1 + 1.
(g - 1)**2*(9*g + 2)
Let h(u) be the first derivative of -4*u**5/5 - 3*u**4 + 16*u**3/3 - 5. Determine o, given that h(o) = 0.
-4, 0, 1
Let s = 105/16 - 251/48. Suppose 1/3*p**4 - s - 8/3*p - 1/3*p**2 + 5/3*p**3 - 1/3*p**5 = 0. Calculate p.
-1, 2
Factor 4/7 - 2/7*z**2 - 2/7*z.
-2*(z - 1)*(z + 2)/7
Let i = -3348 + 110492/33. Let m = 1/11 + i. Suppose 0 + 2/3*f**2 - m*f**3 + 0*f = 0. What is f?
0, 2
Solve -2*c**2 + c + 3*c**3 + c + 0*c**2 + 9*c**2 - 7*c**4 - 5*c**5 = 0 for c.
-1, -2/5, 0, 1
Let c(n) be the second derivative of 1/45*n**5 - 2*n + 0*n**3 + 1/135*n**6 + 1/54*n**4 + 0*n**2 + 0. Factor c(q).
2*q**2*(q + 1)**2/9
Let g(i) be the third derivative of -i**5/15 + 14*i**4/3 - 392*i**3/3 + 12*i**2. Solve g(v) = 0.
14
Let 54/11*t**4 + 4/11 + 6/11*t - 58/11*t**2 + 56/11*t**5 - 62/11*t**3 = 0. Calculate t.
-1, -1/4, 2/7, 1
Let p be 6/2*(5 - 6). Let n be 84/20 + p - 0. Suppose -4/5*a + 0 + n*a**2 + 2/5*a**5 + 2/5*a**3 - 6/5*a**4 = 0. What is a?
-1, 0, 1, 2
Let h = 19/21 - -3/7. Factor 1/3*j**4 + 0 + 0*j + h*j**2 - 4/3*j**3.
j**2*(j - 2)**2/3
Let w = 3841/60 + -64. Let c(f) be the second derivative of 2*f + 1/18*f**3 - w*f**5 + 5/36*f**4 - 1/3*f**2 + 0 - 1/30*f**6. Find k such that c(k) = 0.
-1, 2/3, 1
Let p(g) be the first derivative of 1/24*g**6 + 7/20*g**5 + g + 2*g**2 + 25/12*g**3 + 4 + 19/16*g**4. Find d such that p(d) = 0.
-2, -1
Suppose 2*y = 13 - 7. Let z(o) be the first derivative of 7/10*o**5 + 0*o - 2 + 0*o**2 + 5/8*o**4 - 1/3*o**y. Factor z(k).
k**2*(k + 1)*(7*k - 2)/2
Let u(k) be the third derivative of k**8/1008 + k**7/210 + k**6/180 - k**5/90 - k**4/24 - k**3/18 + 8*k**2. What is y in u(y) = 0?
-1, 1
Suppose -3*c + 5*w + 31 = -c, -3*c - 2*w - 1 = 0. Let k(j) be the third derivative of 0*j - 1/15*j**3 - 1/60*j**4 + 2/25*j**5 + c*j**2 + 0. Solve k(x) = 0.
-1/4, 1/3
Let j(s) be the first derivative of -1/15*s**3 + 0*s + 1/150*s**5 - s**2 + 0*s**4 + 4. Let h(b) be the second derivative of j(b). Factor h(g).
2*(g - 1)*(g + 1)/5
Let z be (4/6)/(10/45). Suppose -z*j + 2 + 6 + 19*j + 12*j**2 - 4 = 0. What is j?
-1, -1/3
Factor 3/8*g**2 - 3/8*g - 9/4.
3*(g - 3)*(g + 2)/8
Solve 2/9*d**3 + 0*d**2 + 4/9 - 2/3*d = 0 for d.
-2, 1
Let t(j) be the first derivative of -1/15*j**3 + 0*j**2 + 0*j - 4. Factor t(k).
-k**2/5
Let b = 373 + -6339/17. Let u = b + 11/51. Solve u*c**4 - 1/3*c**2 + 0*c**3 + 0*c + 0 = 0 for c.
-1, 0, 1
Let u(t) = 3*t**3 - t**2 - t + 1. Let h be u(1). Determine c, given that -c**h - 3 - c - 1 + 7*c**2 - c = 0.
-2/3, 1
Let y(t) be the second derivative of -1/8*t**4 - 2*t + t**2 + 1/3*t**3 + 1/60*t**5 + 0. Let a(g) be the first derivative of y(g). Solve a(v) = 0.
1, 2
Let a(u) be the first derivative of u**7/21 - 2*u**6/15 - u**5/10 + u**4/3 + 2*u + 6. Let f(s) be the first derivative of a(s). Factor f(d).
2*d**2*(d - 2)*(d - 1)*(d + 1)
Let y(a) = -7*a**4 + 6*a**3 - 3*a**2 - 4. Let i(h) = -57*h**4 + 48*h**3 - 24*h**2 - 33. Let r(q) = -4*i(q) + 33*y(q). What is p in r(p) = 0?
0, 1
Suppose -1 + 1 = 2*t. Solve 0*s + 0*s**2 + 1/3*s**3 + t = 0.
0
Suppose 0 = 6*t - 2*t - 12. Suppose -2*k + 7*a = 3*a + 4, 2*k + t*a = 10. Let 4*h - 4*h + k + 3*h + h**2 = 0. What is h?
-2, -1
Let g(l) be the first derivative of -4*l + l**4 - 2*l**2 + 7 + 4/3*l**3. Determine v, given that g(v) = 0.
-1, 1
Let u(p) be the third derivative of p**5/150 - p**4/60 - 2*p**3/15 - 14*p**2. Determine n so that u(n) = 0.
-1, 2
Let k(r) be the second derivative of -3/10*r**5 - 2*r + 0 + 0*r**3 + 1/10*r**6 + 1/4*r**4 + 0*r**2. Let k(u) = 0. Calculate u.
0, 1
Let t(b) be the second derivative of -b**7/1260 + b**6/180 - b**5/60 - b**4/6 - 2*b. Let n(v) be the third derivative of t(v). Suppose n(o) = 0. What is o?
1
Let p = 4 - 1. Factor -d**4 + 3*d**p - 2*d**3 - d**2 + d**3.
-d**2*(d - 1)**2
Suppose 6 = -5*t + 16. Suppose 5*a = 2*u - t + 12, 5*a - 10 = -5*u. Solve u - 1/2*h**2 + 0*h = 0.
0
Let o(b) be the first derivative of b**6/21 + 2*b**5/7 + 4*b**4/7 + 8*b**3/21 - 2. Factor o(c).
2*c**2*(c + 1)*(c + 2)**2/7
Let q = 7 + -5. Solve 2*t**2 - 3*t**2 + 0 + q - 1 = 0 for t.
-1, 1
Let n(r) be the third derivative of -r**6/40 + 3*r**4/8 + r**3 - 3*r**2. Factor n(b).
-3*(b - 2)*(b + 1)**2
Suppose f = -f - 5*v + 11, -7 = -3*f + 2*v. Find w, given that -18/5*w**f - 2/5*w + 0 + 14/5*w**4 + 2*w**2 - 4/5*w**5 = 0.
0, 1/2, 1
Let g(x) be the first derivative of x**3 - 3*x**2 + 3*x - 18. Factor g(t).
3*(t - 1)**2
Let q(p) = -1 - 2 + 4*p + p**2 + 9*p**4 + 8 - 9*p**3. Let u(b) = 5*b**4 - 5*b**3 + b**2 + 2*b + 3. Let h(v) = 3*q(v) - 5*u(v). Let h(d) = 0. What is d?
-1, 0, 1
Let c(k) be the first derivative of 7 - 10/21*k**3 + 16/21*k**6 + 16/7*k**5 + 2/7*k - 5/7*k**2 + 25/14*k**4. Determine y, given that c(y) = 0.
-1, 1/4
Factor 5/2*s**3 + 5/2*s**2 + 0 - 5/2*s**5 - 5/2*s**4 + 0*s.
-5*s**2*(s - 1)*(s + 1)**2/2
Determine p so that -49*p**3 - 35*p**4 + 304*p**3 + 80 + 80 - 480*p - 350*p**2 = 0.
-1, 2/7, 4
Let z = -7/4 - -25/12. Let n(b) be the second derivative of 3*b + 0 + z*b**2 + 5/9*b**3 + 2/9*b**4. Factor n(h).
2*(h + 1)*(4*h + 1)/3
Suppose -2*u - 3*u = -10, -5*z + 4*u = 148. Let j be 14/18*(-16)/z. Suppose 2/9*k**3 + j*k + 2/3*k**2 + 0 = 0. What is k?
-2, -1, 0
Let g(k) be the first derivative of 343*k**6/3 + 4018*k**5/5 + 1806*k**4 + 4384*k**3/3 + 544*k**2 + 96*k - 27. Factor g(l).
2*(l + 2)*(l + 3)*(7*l + 2)**3
Factor 10*w**2 + 35*w**5 - 36*w**5 - 8*w**3 + 48*w - 6*w**4 + 6*w**2 + 32.
-(w - 2)*(w + 2)**4
Let i(c) be the third derivative of -5*c**8/84 + 44*c**7/105 - 14*c**6/15 + 8*c**5/15 - 12*c**2. Solve i(g) = 0 for g.
0, 2/5, 2
Let t(j) be the second derivative of j**7/1120 - j**6/1440 - j**4/4 - 2*j. Let r(c) be the third derivative of t(c). Factor r(q).
q*(9*q - 2)/4
Find p such that 3*p**