j = 10 + -4. Let m(t) = j*k(t) + 11*r(t). Determine o so that m(o) = 0.
-1, 1
Let y = -6 - -9. Let j(w) be the third derivative of 0*w - 1/60*w**6 + 0 + 1/15*w**5 - 1/12*w**4 + 0*w**y - w**2. Let j(o) = 0. What is o?
0, 1
Let m(y) be the first derivative of y**6/6 - y**4/4 - 3. Factor m(p).
p**3*(p - 1)*(p + 1)
Suppose -4 = -h - 1. Factor 0*l**h + 0*l**3 + 10*l**5 + 4*l**4.
2*l**4*(5*l + 2)
Factor 8/9 - 2/9*l**3 + 0*l - 2/3*l**2.
-2*(l - 1)*(l + 2)**2/9
Let r(t) be the second derivative of 21*t**5/40 - 11*t**4/12 - t**3/12 + t**2/2 + 8*t. Determine b so that r(b) = 0.
-2/7, 1/3, 1
Let u(l) be the second derivative of -2*l + 1/11*l**3 - 1/66*l**4 + 0 - 2/11*l**2. Solve u(a) = 0.
1, 2
Let h(b) = 9*b**3 + 3*b**2 - 9*b + 9. Let s(x) = x**3 + x**2 - x. Let l(t) = h(t) - 12*s(t). Factor l(y).
-3*(y - 1)*(y + 1)*(y + 3)
Let q = -37 - -40. Let k(t) be the first derivative of -2 + 3/14*t**4 + 0*t + 0*t**2 - 2/35*t**5 - 4/21*t**q. Suppose k(f) = 0. Calculate f.
0, 1, 2
Suppose 4*t**2 - 4 - 18*t + 8*t + 10*t = 0. What is t?
-1, 1
Let 11*g**2 - 3*g**3 + 18*g**3 + 2*g**4 + 3*g**4 + 4*g**2 + 5*g = 0. Calculate g.
-1, 0
Let c(n) be the second derivative of 0*n**2 + 1/15*n**6 - 1/6*n**4 + 1/28*n**7 - 1/12*n**3 + 6*n + 0 - 1/20*n**5. Find l, given that c(l) = 0.
-1, -1/3, 0, 1
Suppose -1/3*w**2 + 4/3*w - 1 = 0. What is w?
1, 3
Let z(u) be the third derivative of 0*u + 0*u**3 + 2*u**2 - 1/30*u**5 + 0 - 1/12*u**4. Factor z(a).
-2*a*(a + 1)
Let m(d) be the first derivative of -d**6/60 + d**5/15 - 9*d**2/2 - 4. Let i(b) be the second derivative of m(b). Let i(l) = 0. Calculate l.
0, 2
Let k = -856/3 - -290. Factor k*w**2 - 10/3*w - 4/3.
2*(w - 1)*(7*w + 2)/3
Let v(i) be the third derivative of 0*i**4 - 3*i**2 - 1/33*i**3 + 0 + 1/330*i**5 + 0*i. Factor v(t).
2*(t - 1)*(t + 1)/11
Suppose -3*m + 5*m - 6 = 0. Let o(z) be the first derivative of -1/12*z**4 - 1/2*z**2 - 1/3*z - 1/3*z**m + 1. Factor o(k).
-(k + 1)**3/3
Suppose -5*a = 3*b + 3, -4*a + 3*b = -0*b - 3. Factor -3/2*v**3 + a + 3/2*v - 3/2*v**2 + 3/2*v**4.
3*v*(v - 1)**2*(v + 1)/2
Let h = 23 - 8. Let a be ((-5)/(h/9))/(-1). Solve 0*g**5 - 9*g - g**5 + 2 - 6*g**4 + 4*g**3 + a*g**5 + 3*g + 4*g**2 = 0.
-1, 1
Let x(t) be the third derivative of -t**6/30 - t**5/15 + 2*t**2. Factor x(b).
-4*b**2*(b + 1)
Let z = 0 - -2. Let n(p) be the third derivative of -1/70*p**5 - 1/28*p**4 - 2*p**z + 0 - 1/420*p**6 - 1/21*p**3 + 0*p. Find d, given that n(d) = 0.
-1
Let n(k) = k**2 + k - 1. Let c = 22 - 16. Let y(s) = 7*s**2 - 6*s + 1 + 14*s - c. Let r(w) = 6*n(w) - y(w). Suppose r(h) = 0. What is h?
-1
Let u be (-160)/(-128) - (-5)/(-4). Suppose u - 2/5*b + 7/5*b**2 = 0. What is b?
0, 2/7
Suppose 20/9*t**2 + 0 + 0*t - 4/9*t**3 = 0. What is t?
0, 5
Let t = 6458/879 - 4/293. Let d = 48/5 + -124/15. Find q such that d - t*q + 28/3*q**2 + 8/3*q**3 + 14/3*q**5 - 32/3*q**4 = 0.
-1, 2/7, 1
Let o(y) be the third derivative of -y**7/840 + y**5/40 - y**4/24 + 7*y**2. Let n(x) be the second derivative of o(x). What is v in n(v) = 0?
-1, 1
Let l be (0/1)/(1*-1). Suppose -5*z + 4*x = 0, l*x + x + 11 = 4*z. Suppose -2/3*c**z + 2/3*c**5 - 2/3*c**3 + 2/3*c**2 + 0*c + 0 = 0. What is c?
-1, 0, 1
Factor -21*s + 3*s**2 + 21*s + 12*s**5 - 9*s**3.
3*s**2*(s + 1)*(2*s - 1)**2
Factor 13 - 2*w**2 - 8*w - 9 + 2*w**3 + 4.
2*(w - 2)*(w - 1)*(w + 2)
Let f(t) = t + 5. Let n be f(-2). Suppose n*j - 8 = -2. Find l such that -6*l + 4/3 - 8*l**5 - 2/3*l**j - 2/3*l**4 + 14*l**3 = 0.
-1, 1/4, 2/3, 1
Factor -5*k**3 - 5*k**2 + 0*k**2 - 2*k**2 + 2*k**2.
-5*k**2*(k + 1)
Find i such that 9/4*i + 15/4*i**2 + 3/4*i**3 - 27/4 = 0.
-3, 1
Let d = -61 - -63. Let w(s) be the first derivative of -2 + 0*s + 0*s**d + 1/20*s**4 - 1/15*s**3. Factor w(b).
b**2*(b - 1)/5
Let j(d) be the third derivative of -1/18*d**3 - 1/180*d**5 - 1/36*d**4 + 0*d + 0 - d**2. Factor j(o).
-(o + 1)**2/3
Let p(q) be the third derivative of q**8/1680 + q**7/1050 - q**6/600 - q**5/300 + 2*q**2. Factor p(t).
t**2*(t - 1)*(t + 1)**2/5
Let o = -113/3 - -38. Factor 0 - 1/3*r**3 - o*r + 2/3*r**2.
-r*(r - 1)**2/3
Let h(y) = -2*y**2 + 18*y - 19. Let b(d) = -10*d**2 + 90*d - 94. Let a(m) = -6*b(m) + 28*h(m). Solve a(p) = 0 for p.
1, 8
Let h be 91/(-98) + 15/10. Find i such that h + 2/7*i - 2/7*i**2 = 0.
-1, 2
Let c = 1/351 + 2/27. Let m(g) be the first derivative of 0*g - c*g**2 - 2/39*g**3 - 2. Factor m(p).
-2*p*(p + 1)/13
Let p(c) be the second derivative of -1/12*c**4 + 0 - c + 0*c**2 + 1/20*c**5 + 0*c**3. Solve p(s) = 0.
0, 1
Let h be -2 + 3 + 9/3. Let -20/9*r**3 - 2*r**5 - 2/9 + 4/3*r**2 + 2/3*r - 14/3*r**h = 0. Calculate r.
-1, 1/3
Let u = -15 - -17. Factor 2*o**4 - 4*o**4 - 6*o**3 + 3*o + o**2 + 4 + 3*o - 3*o**u.
-2*(o - 1)*(o + 1)**2*(o + 2)
Suppose 2*g + g + 2*g = 0. Let c(p) be the first derivative of 3 + g*p**2 + 0*p - 1/16*p**4 - 1/12*p**3. Factor c(v).
-v**2*(v + 1)/4
Let c(i) be the first derivative of -2/3*i**3 + 0*i**2 - 3 + 0*i. Determine l, given that c(l) = 0.
0
Suppose 4*b + 16 = 8*b. Let t(z) = 2*z - 5. Let r be t(b). Determine d so that -d**4 + d**2 - r*d**3 - 5*d**3 + 6*d**4 + 2*d = 0.
-2/5, 0, 1
Let d(g) = -g**2 + 5*g - 10. Let f(v) = -2*v**2 + 5*v - 11. Let r(k) = -3*d(k) + 2*f(k). Let o be r(-6). Solve 0*q + 0 - 1/5*q**3 + 1/5*q**o = 0 for q.
0, 1
Let h(o) be the first derivative of -2*o**5/15 + 4*o**4/3 - 44*o**3/9 + 8*o**2 - 6*o - 11. Let h(u) = 0. What is u?
1, 3
Solve o**2 + 2*o**3 + 7*o**2 - 4*o - 6*o**3 = 0 for o.
0, 1
Let a = -6 - -8. Suppose -a = -q - 11. Let g(x) = -81*x**2 + 24*x + 7. Let z(v) = 40*v**2 - 12*v - 3. Let k(m) = q*z(m) - 4*g(m). Factor k(b).
-(6*b - 1)**2
Suppose -3*w + 3*z + 4 - 1 = 0, 3*w + 4*z = 17. Suppose 5*t - 3*d - w = 1, 3*t - 14 = -4*d. Factor -2/5*a**t + 0*a + 0.
-2*a**2/5
Find d such that 22/3*d**2 + 6*d**4 + 0 + 4/3*d**5 + 2*d + 10*d**3 = 0.
-3/2, -1, 0
Let r(n) be the second derivative of -n**7/1260 - n**6/270 + 4*n**3/3 - 3*n. Let d(x) be the second derivative of r(x). Factor d(a).
-2*a**2*(a + 2)/3
Factor 6*y**3 + 29*y + 2*y**3 - y + 8 - 8*y**2 + 36*y**2.
4*(y + 1)*(y + 2)*(2*y + 1)
Let o(k) be the first derivative of k**8/5880 + k**7/980 + k**6/420 + k**5/420 + 4*k**3/3 - 3. Let g(w) be the third derivative of o(w). Factor g(y).
2*y*(y + 1)**3/7
Solve -1/2*h**2 + 3/8*h**4 + 0*h - 1/8*h**5 + 0*h**3 + 0 = 0 for h.
-1, 0, 2
Factor 4/7*d - 4/7*d**2 + 4/7 - 4/7*d**3.
-4*(d - 1)*(d + 1)**2/7
Let w(x) be the second derivative of x**6/540 + x**5/180 + x**3/2 + 4*x. Let l(q) be the second derivative of w(q). Find h such that l(h) = 0.
-1, 0
Let j(r) be the second derivative of -r**5/4 + 5*r**4/4 + 5*r**3/6 - 15*r**2/2 + 4*r - 6. Factor j(q).
-5*(q - 3)*(q - 1)*(q + 1)
Let k(n) = -11*n**3 + 16*n**2 + 18*n + 9. Let d(s) = -5*s**3 + 8*s**2 + 9*s + 4. Let g(l) = 9*d(l) - 4*k(l). Let t be g(9). Factor -1/2*c + 1/2*c**2 + t.
c*(c - 1)/2
Let u = 7/624 + 2/39. Let g(a) be the first derivative of 0*a - 1/2*a**2 - 1 + 1/3*a**3 - u*a**4. Solve g(k) = 0.
0, 2
Let p(x) be the first derivative of -x**4/9 - 4*x**3/27 + 2*x**2/9 + 4*x/9 - 24. Suppose p(t) = 0. What is t?
-1, 1
Let q(c) be the second derivative of c**4/4 + 5*c**3/2 - 20*c. Find f such that q(f) = 0.
-5, 0
What is d in d + 0 - 1/3*d**2 = 0?
0, 3
Let q be (2/8)/(2/204). Let g = q + -21. Factor 0*b + 9/4*b**4 + g*b**2 + 6*b**3 - 3/4.
3*(b + 1)**3*(3*b - 1)/4
Let c(i) be the first derivative of -i**3/27 + 5*i**2/9 - 25*i/9 - 12. Factor c(p).
-(p - 5)**2/9
Let i(a) be the second derivative of a**8/560 + a**7/315 - a**6/60 - a**5/15 - a**4/3 + 5*a. Let b(c) be the third derivative of i(c). Solve b(s) = 0.
-1, -2/3, 1
Suppose -527 = 17*p - 578. Determine j, given that -6/7*j**p + 4/7*j + 2/7*j**2 + 0 = 0.
-2/3, 0, 1
Let y(r) be the first derivative of -r**3/3 + 8*r**2 - 64*r - 19. Determine p, given that y(p) = 0.
8
Let p(d) be the second derivative of 2*d + 0*d**2 + 0 - 1/42*d**4 - 1/70*d**5 + 0*d**3. Suppose p(h) = 0. Calculate h.
-1, 0
Let n(v) be the second derivative of 1/18*v**3 - 7*v + 1/12*v**4 + 1/20*v**5 + 1/90*v**6 + 0 + 0*v**2. Suppose n(d) = 0. What is d?
-1, 0
Let g(i) be the first derivative of 2*i + 0*i**2 + 1/15*i**6 + 1/3*i**3 + 3/10*i**5 - 3 + 1/2*i**4. Let r(d) be the first derivative of g(d). Factor r(o).
2*o*(o + 1)**3
Let u be 6 - (2 - (0 - -1)). Let w(p) be the second derivative of -p