lculate t.
-1, 0, 1
Suppose 0*r + 3*r = 0. Let a = 5 + r. Determine y so that 1/4*y - 1/2*y**4 - 1/4*y**a + 1/2*y**2 + 0 + 0*y**3 = 0.
-1, 0, 1
Let o(c) be the first derivative of -c**4/22 + 2*c**3/11 + 31. Factor o(q).
-2*q**2*(q - 3)/11
Let x be 1 - (2 - (-285)/(-279)). Let o = x + 730/651. What is s in 2*s**2 - 4/7*s - 2/7 - o*s**3 = 0?
-1/4, 1
Let h(r) be the third derivative of -r**7/350 + r**5/100 - 14*r**2. Determine m so that h(m) = 0.
-1, 0, 1
Let v = 3/8 + 1/8. Factor 1/2*r + 1/2*r**2 - 1/2 - v*r**3.
-(r - 1)**2*(r + 1)/2
Let j(w) be the second derivative of -w**8/23520 - w**7/4410 - w**6/2520 - w**4/6 - w. Let k(n) be the third derivative of j(n). Suppose k(d) = 0. What is d?
-1, 0
Factor -10 - 4*w - 2/5*w**2.
-2*(w + 5)**2/5
Let j(g) be the first derivative of 3 - 1/20*g**4 + 1/10*g**2 - 1/15*g**3 + 1/5*g. Suppose j(a) = 0. What is a?
-1, 1
Let c be (-4)/16 - 2/(-8). Find f, given that -9 - 8*f - 2*f**2 + c*f + 1 + 0*f = 0.
-2
Let y be (9/(-45))/((-2 - 0)/2). Let j(c) be the first derivative of -4/15*c**3 - 3 - 1/10*c**4 + 0*c - y*c**2. Find l such that j(l) = 0.
-1, 0
Let o be (4/6)/(15/27). Let h(g) be the first derivative of 2/3*g**3 + 0*g**4 + 2/3*g**6 + 1 + 0*g**2 + 0*g - o*g**5. Factor h(w).
2*w**2*(w - 1)**2*(2*w + 1)
Suppose -g - 3 = 0, 4*s = 5*g - 14 + 41. Factor 0 + 0*o**s + 1/5*o**2 - 1/5*o**4 + 0*o.
-o**2*(o - 1)*(o + 1)/5
Let p(o) be the second derivative of o**5/20 + o**4/3 + 5*o**3/6 + o**2 - 5*o. What is l in p(l) = 0?
-2, -1
Let l(t) = -t**2 + 7*t - 7. Let n be l(5). Let r be (-5)/(-5)*1/n. Determine f, given that -r + 2/3*f - 1/3*f**2 = 0.
1
Let s be 2/(-3) - -2 - 55/(-15). Let c(f) be the second derivative of 0 - f**s - 5/3*f**3 + f + 5/3*f**4 + 1/3*f**6 + f**2 - 1/21*f**7. Factor c(g).
-2*(g - 1)**5
Factor -u**3 + u**2 - 4147 + 4147.
-u**2*(u - 1)
Let u be (-23)/18 + 27/18. Suppose -2*s + 10 = 2*c - 0*s, -10 = c - 2*s. Find z, given that -2/9*z**2 + c + 2/9*z**4 + u*z - 2/9*z**3 = 0.
-1, 0, 1
Let 0 - 72/5*v - 6/5*v**2 = 0. Calculate v.
-12, 0
Let w(d) be the third derivative of d**5/60 + d**4/24 - d**3/3 - 6*d**2. Factor w(a).
(a - 1)*(a + 2)
Let k(v) be the third derivative of -v**7/630 + v**6/360 - 12*v**2. Solve k(t) = 0.
0, 1
Let u(i) be the first derivative of -i**3/18 + i**2/2 - 3*i/2 - 11. Factor u(b).
-(b - 3)**2/6
Suppose 0*g + g = 0. Let a**2 - a + g*a + a = 0. What is a?
0
Let m be (-140)/56*2/(-10). Let m*b**2 + 3*b + 9/2 = 0. Calculate b.
-3
Let w(y) be the first derivative of 4*y**5/5 - y**4 - 4*y**3 + 10*y**2 - 8*y + 4. What is h in w(h) = 0?
-2, 1
Suppose -b - 2 = -4. Let n(h) be the first derivative of 0*h**2 + b + h - 1/3*h**3. Determine g, given that n(g) = 0.
-1, 1
Let i(o) be the first derivative of -o**5/10 + o**4/4 + 2*o**3/3 - o**2/2 - 3*o/2 - 40. Find n such that i(n) = 0.
-1, 1, 3
Let l(k) = -144*k**2 - 105*k + 3. Let n(x) = -41*x**2 - 30*x + 1. Let p(h) = -5*l(h) + 18*n(h). Find d such that p(d) = 0.
-1, 1/6
Let q = -509/3 - -171. Suppose 2/3*r**2 + 0 - q*r = 0. Calculate r.
0, 2
Let y = 7 + -2. Suppose 7 = y*o - 3. Suppose 0*w**3 - w**3 + w - w**o + 2*w**2 - 1 = 0. Calculate w.
-1, 1
Factor -48*i - 80 - 4*i**3 - 40*i**2 + 29*i - 81*i - i**3.
-5*(i + 2)**2*(i + 4)
Suppose -m = -2*d + 11, -3*d + 8 - 2 = 2*m. Suppose 0*x**2 + 0*x**d - 4/3*x**3 + 2/3*x**5 + 0 + 2/3*x = 0. What is x?
-1, 0, 1
Suppose -5*m = 3*y + 10, -y + 6 = 3*m + 12. Solve 3/5*i + 3/5*i**3 + y - 6/5*i**2 = 0 for i.
0, 1
Let c = 17 - 12. Find g, given that 6*g**4 + 6*g**3 + 2*g**5 + 0*g**5 - 2*g**3 + 0*g**c = 0.
-2, -1, 0
Let a(k) be the third derivative of k**6/200 + k**5/100 - 18*k**2. Find h such that a(h) = 0.
-1, 0
Let a be (-3)/5 - ((-1057)/70 - -14). Suppose 0 + a*q**5 + 0*q + 4*q**3 + 2*q**2 + 5/2*q**4 = 0. Calculate q.
-2, -1, 0
Suppose -3*m - 35 = -8*m. Factor m*p + 2*p**2 + 4 + p**2 + p + 0*p**2.
(p + 2)*(3*p + 2)
Let q(j) be the third derivative of j**5/120 + j**4/16 + j**3/6 + 16*j**2. Factor q(o).
(o + 1)*(o + 2)/2
Let c(d) = -d**3 + 2*d**2 + 3*d + 3. Let j be c(3). Let q = -1 + j. Factor 8/7*m - 8/7*m**q + 0 + 2/7*m**3.
2*m*(m - 2)**2/7
Let s(l) be the second derivative of l**4/6 - l**3/3 - 2*l**2 - 5*l. Let s(o) = 0. What is o?
-1, 2
Determine g so that -1/3*g**4 + 0*g**2 + 0 - 4/3*g + g**3 = 0.
-1, 0, 2
Let g(j) be the third derivative of -j**6/360 - j**5/60 + j**4/72 + j**3/6 - 5*j**2. Factor g(u).
-(u - 1)*(u + 1)*(u + 3)/3
Let b = 6 - -1. Suppose -6*l + b = -4*l + a, -20 = -4*l - 4*a. Let h**l + 1/3*h**3 + h + 1/3 = 0. What is h?
-1
Let b be 10/(-35) - 14/(-49). Solve 0 + 0*v**2 - 1/6*v**4 + 0*v + b*v**3 = 0.
0
Suppose 13 = 5*w - 7. Solve -3*i - 2*i**5 + i + w*i**3 + 0*i**5 = 0.
-1, 0, 1
Let f(i) be the first derivative of -4/3*i**3 + 4 + 0*i**2 + 2*i + 2/5*i**5 + 0*i**4. Factor f(o).
2*(o - 1)**2*(o + 1)**2
Factor -4*p**5 - p**5 - 4*p**2 + 10*p**3 + p**4 - 9*p**4 + 7*p**5.
2*p**2*(p - 2)*(p - 1)**2
Let u = 748 - 2243/3. Solve 1/6*w**4 + 0*w**2 - 1/6 + 1/3*w**3 - u*w = 0 for w.
-1, 1
Let m = 0 - 19. Let r = m + 37. Factor -2*w - 22*w**3 - 3*w**5 + 4 - 5*w + r*w**2 + 13*w**4 - 3.
-(w - 1)**4*(3*w - 1)
Suppose 0*a - 12 = -4*a. Suppose t = -a*t. Find d, given that 2/5 - 2/5*d**2 + t*d = 0.
-1, 1
Let x(c) be the first derivative of -1/2*c**4 + 0*c**3 + c**2 + 2 + 0*c. Solve x(g) = 0 for g.
-1, 0, 1
Suppose 88 = 5*i - 2*l, 5*i = -4*l + 92 + 2. Let x = i - 14. Factor 2/9*o**2 - 4/9*o**3 + 0*o + 0 + 2/9*o**x.
2*o**2*(o - 1)**2/9
Let i(q) = 4*q**2 - 8*q - 20. Let z(c) = -3*c**2 + 5*c + 13. Let k(d) = -5*i(d) - 8*z(d). Factor k(v).
4*(v - 1)*(v + 1)
Let v(o) be the third derivative of 2*o**8/21 + 4*o**7/21 - 7*o**6/30 - 11*o**5/15 - o**4/6 + 2*o**3/3 + 3*o**2. Determine j so that v(j) = 0.
-1, -1/2, 1/4, 1
Solve 0 + 3/2*x**4 + 3/2*x - 3/2*x**2 - 3/2*x**3 = 0 for x.
-1, 0, 1
Factor -75/2 - 33/2*x**2 + 105/2*x + 3/2*x**3.
3*(x - 5)**2*(x - 1)/2
Let n be 16/12*20*(-18)/(-336). Factor -2/7*i**5 - 2*i**2 - n*i**4 - 18/7*i**3 - 4/7*i + 0.
-2*i*(i + 1)**3*(i + 2)/7
Let i(c) = 7*c**3 + 3*c + 5. Suppose 6 = -4*s + 18. Let n(d) = -d**2 + 6*d**s + d**4 + 2*d - 1 + 4 + 1. Let h(u) = 4*i(u) - 5*n(u). What is a in h(a) = 0?
-1, -2/5, 0, 1
Factor -3 + 3*v**2 + 0*v**2 + 15*v**4 + 15*v + 12*v**2 - 35*v**3 - 7.
5*(v - 1)**3*(3*v + 2)
Let s be 3/4*(-8)/(-2). Let f be s - 3/1 - 0. Determine q so that -2/9*q**3 + f*q + 0*q**2 + 0 - 2/9*q**4 = 0.
-1, 0
Let d(m) = m**2 + m - 2. Let n(s) = -2*s + s**2 + 2*s - 3 + s. Let g be (4/6)/((-3)/(-9)). Let h(x) = g*n(x) - 3*d(x). Let h(w) = 0. Calculate w.
-1, 0
Let c(h) be the first derivative of -h**4/4 + 2*h**3/3 + h**2/2 - 2*h - 2. Let c(k) = 0. Calculate k.
-1, 1, 2
Let i be 44/(-66) - 52/(-42). Factor -4/7*l + i*l**3 - 2/7 + 2/7*l**4 + 0*l**2.
2*(l - 1)*(l + 1)**3/7
Let o(a) be the second derivative of -a**5/20 + a**4/42 - 2*a. Solve o(i) = 0.
0, 2/7
Let u = -8 + -4. Let q be (2/4)/((-15)/u). Find t such that -q*t**4 + 2/5*t**2 + 0 + 2/5*t - 2/5*t**3 = 0.
-1, 0, 1
Let t be (6 - (-30)/(-12)) + 0. Find n, given that t*n**4 - n**3 - 3/2*n**5 - 3*n**2 + 5/2*n - 1/2 = 0.
-1, 1/3, 1
Determine l so that -34*l**2 - 12*l - 14*l**3 - 13*l**3 - 2*l**2 + 0*l**3 = 0.
-2/3, 0
Let x = 10 + -8. Let c be (-51)/34*2/(-6). Factor 0 - 1/2*r**4 - 1/2*r + c*r**x + 1/2*r**3.
-r*(r - 1)**2*(r + 1)/2
Let w be (2 + (-3)/(-6) + -4)*-2. Let v(o) be the second derivative of 1/70*o**5 + 2*o + 0*o**w + 1/14*o**4 + 0 - 4/7*o**2. Factor v(m).
2*(m - 1)*(m + 2)**2/7
Factor -48*o**2 + 9*o**2 + 21*o**2 - 2*o**3 - 48*o - 40.
-2*(o + 2)**2*(o + 5)
Let p = -268 - -2416/9. Let o(l) be the first derivative of 5/3*l**5 + 0*l + p*l**3 - 5/3*l**4 + 3 + 0*l**2. What is g in o(g) = 0?
0, 2/5
Let t(s) be the first derivative of -s**5/15 + s**3/3 + s**2/3 - 15. Factor t(o).
-o*(o - 2)*(o + 1)**2/3
Let q(t) = 71*t**3 - 16*t**2 - 105*t - 1. Let v(p) = -9*p**3 + 2*p**2 + 13*p. Let d(o) = 6*q(o) + 51*v(o). Factor d(c).
-3*(c - 1)*(c + 1)*(11*c - 2)
Let y(v) be the third derivative of 1/2*v**3 + 1/1080*v**6 + 1/72*v**4 + 1/180*v**5 + 0 - v**2 + 0*v. Let b(w) be the first derivative of y(w). Factor b(g).
(g + 1)**2/3
Suppose 6/5 - 3/5*x**2 + 7/5*x = 0. Calculate x.
-2/3, 3
Let u(c) be the second derivative of -c**6/15 - 9*c**5/20 - 5*c**4/4 - 11*c**3/6 - 3*c**2/2 - 17*c. Solve u(f) = 0 for f.
-3/2, -1
Let k(r) = -r**3 + r**2 - r. Let a