0*j**2 + 2*j**2 = 0. Calculate j.
-2, -1
Let q(i) = -i**2 + i. Let l(o) = -15*o**4 + 20*o**3 + 6*o**2 - 11*o. Let m(d) = l(d) + q(d). Find n such that m(n) = 0.
-2/3, 0, 1
Let h(t) = t**2 + 4*t - 1. Let b be h(-5). Factor 0*w**2 + 2/9*w**3 + 4/9*w**b + 2/9*w**5 + 0*w + 0.
2*w**3*(w + 1)**2/9
Let a be (-2)/(1/4*-2). Suppose -b - 6 = -0*v + 3*v, -a*v - 46 = -5*b. Factor -11 + 11 - 4*w**3 - 2*w**2 + b*w**4.
2*w**2*(w - 1)*(3*w + 1)
Let h = -4 - -7. Determine q, given that -2*q**h - q**2 - 2*q**4 - q**3 + 3*q**4 - q + 4*q**2 = 0.
0, 1
Let g = 12 - 10. Factor g - q + 0 - 5 + 3*q**2 + q**3.
(q - 1)*(q + 1)*(q + 3)
Factor 106 - 111 + 25*l**5 + 20*l**4 - 15*l - 10*l**3 - 65*l**4 + 50*l**2.
5*(l - 1)**3*(l + 1)*(5*l + 1)
Suppose 0*x - 2 = -u + 3*x, 0 = -u + 4*x - 2. Let i be ((-6)/u)/(12/(-42)). Let 0*a**4 + 3*a**3 - 3/2*a**5 + 0 + 0*a**2 - i*a = 0. What is a?
-1, 0, 1
Factor 200*p - 405*p + 202*p - 3*p**2.
-3*p*(p + 1)
Factor 242/5 + 2/5*w**2 - 44/5*w.
2*(w - 11)**2/5
Let y = 753/4 + -399/2. Let i = y + 143/12. Factor -i + g**2 - 1/3*g**3 + 1/3*g - 1/3*g**4.
-(g - 1)**2*(g + 1)*(g + 2)/3
Solve -2 + 2*p + 7*p**2 + 3 + 0*p**2 - 6*p**2 = 0.
-1
Factor -9/2 + 15*v - 25/2*v**2.
-(5*v - 3)**2/2
Let m(w) be the third derivative of 0 - 1/120*w**4 + w**2 - 1/300*w**5 + 0*w + 0*w**3. Let m(b) = 0. What is b?
-1, 0
Let t be 440/120 + (1 + 0)*-3. Suppose -2/3*u**3 + t*u**2 + 0 + 0*u = 0. What is u?
0, 1
Factor -7*v + 3 + 2*v**2 + 7*v - 2*v - 3*v**2.
-(v - 1)*(v + 3)
Suppose 0 = r - 2, -4*u - r + 5*r + 12 = 0. Let g(p) be the third derivative of 1/18*p**3 + 3*p**2 - 1/72*p**4 + 0*p + 1/360*p**6 + 0 - 1/180*p**u. Factor g(n).
(n - 1)**2*(n + 1)/3
Let c(t) be the third derivative of t**6/30 - 2*t**5/15 - t**4/6 + 4*t**3/3 - 7*t**2. Let c(a) = 0. What is a?
-1, 1, 2
Let u = -12 + 15. Solve 6*y - 24*y - u*y - 6 - 9*y**2 = 0.
-2, -1/3
Let k(d) be the second derivative of -d**5/60 + 7*d**4/36 - 4*d**3/9 - 8*d**2/3 - 18*d. Suppose k(h) = 0. Calculate h.
-1, 4
Suppose 0*v**2 + 1/4*v**3 - 1/2 - 3/4*v = 0. Calculate v.
-1, 2
Let g(m) be the third derivative of m**7/1050 - m**5/300 - 6*m**2. Factor g(z).
z**2*(z - 1)*(z + 1)/5
Solve 0 + 2/7*z**2 + 6/7*z = 0.
-3, 0
Let j(g) be the second derivative of 1/6*g**4 + g**2 - 2*g + 0 + 2/3*g**3. Factor j(b).
2*(b + 1)**2
Let z = 3 + -1. Suppose b + 0*b = 2. Find l such that l**2 - 2*l**2 - 2*l - 3*l**z - b*l**3 = 0.
-1, 0
Let j(z) be the second derivative of -1/20*z**5 + 7*z - 1/30*z**6 + 0 + 0*z**2 + 0*z**4 + 0*z**3. Solve j(v) = 0.
-1, 0
Let l(k) be the first derivative of -k**4/22 - 10*k**3/33 - 7*k**2/11 - 6*k/11 + 13. Factor l(w).
-2*(w + 1)**2*(w + 3)/11
Let b(a) = -a + 7. Let z be b(6). Let i be z/6*(-3 - -43). Suppose -6*o**2 - i*o**3 - 1/3 - 7/3*o - 8/3*o**4 = 0. Calculate o.
-1, -1/2
Let o(a) = -2*a + 27. Let n be o(11). Let q(z) be the second derivative of 0 + 2*z + 0*z**n - 1/168*z**7 + 0*z**3 + 0*z**2 + 1/120*z**6 + 0*z**4. Factor q(j).
-j**4*(j - 1)/4
Let i be 1 + (-46)/(-40) + 3. Let j = i + -19/4. Factor 4/5 - 2/5*h**2 - j*h.
-2*(h - 1)*(h + 2)/5
Let f = 12 - 8. Factor 0*r**3 - 3*r**3 + f - 36*r + 18*r**2 + 10 + 10.
-3*(r - 2)**3
Let m(y) be the first derivative of 4*y**5/65 - 7*y**4/26 + 6*y**3/13 - 5*y**2/13 + 2*y/13 + 8. Factor m(j).
2*(j - 1)**3*(2*j - 1)/13
Let p(v) be the first derivative of -v**4/16 - v**3/12 + v**2/8 + v/4 - 4. Factor p(u).
-(u - 1)*(u + 1)**2/4
Let l(d) be the third derivative of -d**5/120 + d**4/16 - d**3/6 - 25*d**2. Factor l(m).
-(m - 2)*(m - 1)/2
Let q(t) be the second derivative of -t**6/15 + 4*t**5/25 + 2*t**4/15 - 5*t. Factor q(r).
-2*r**2*(r - 2)*(5*r + 2)/5
Factor 4*u + 3*u**3 + 2*u**5 - u**2 - u**2 + 2*u**4 - 9*u**3.
2*u*(u - 1)**2*(u + 1)*(u + 2)
Let s(h) = 4*h - 15. Let d be s(5). Let t(i) be the third derivative of 1/300*i**d - 1/30*i**3 + 0 - 2*i**2 + 0*i + 0*i**4. Factor t(y).
(y - 1)*(y + 1)/5
Let j(a) = -a - 14. Let k be j(-16). Suppose -18/5 - 2/5*n**k - 12/5*n = 0. Calculate n.
-3
Suppose -3*q = -q - 8. Suppose -6*n**4 + 2*n**2 + q*n**2 + 3*n**4 - 3*n**2 = 0. What is n?
-1, 0, 1
Let u(z) = -5*z**2 + 20*z - 22. Let b(m) = 110*m**2 - 440*m + 485. Let k(o) = -2*b(o) - 45*u(o). What is n in k(n) = 0?
2
Let v(j) be the second derivative of -j**9/3600 - j**8/5600 - 7*j**4/12 + 7*j. Let u(z) be the third derivative of v(z). Factor u(k).
-3*k**3*(7*k + 2)/5
Suppose -r = -6*r - 4*i + 26, -12 = -3*i. Suppose a = -q + r, -q + 2*q + 5*a - 2 = 0. Find c such that 0*c**q - 3*c**2 + c**2 = 0.
0
Solve -5*q + 39*q**2 + 5*q - q**4 - 38*q**2 = 0.
-1, 0, 1
Let l(r) be the second derivative of -2*r**7/21 - 4*r**6/15 + 2*r**5/5 + 4*r**4/3 - 2*r**3/3 - 4*r**2 - 20*r. Determine d, given that l(d) = 0.
-2, -1, 1
Let m(g) be the second derivative of 0 - 1/2*g**4 + 1/3*g**3 + 0*g**2 + 2*g + 1/5*g**6 - 1/10*g**5. Factor m(h).
2*h*(h - 1)*(h + 1)*(3*h - 1)
Determine m so that -9*m**3 + 14*m**2 - 2*m**2 - 8*m - 2*m**3 + 7*m**3 = 0.
0, 1, 2
Let a(r) be the second derivative of 0*r**3 + 3/20*r**5 - 1/10*r**6 + 2*r + 1/2*r**4 + 0*r**2 + 0. Factor a(h).
-3*h**2*(h - 2)*(h + 1)
Let c(p) = -7*p**3 - 17*p**2 - 17*p - 7. Let b(j) = j**3 + j**2 + j + 1. Let s(l) = -2*b(l) - c(l). Factor s(n).
5*(n + 1)**3
Suppose -26*k + 30*k = 12. Solve -18/13 + 10/13*m**2 + 2/13*m**k + 6/13*m = 0 for m.
-3, 1
Let t be 8/10*200/16. Suppose 0 = -6*x + x + t. Suppose -1/3*q**4 + 2/3*q**3 + 0 - 1/3*q**x + 0*q = 0. What is q?
0, 1
Suppose -k - k + 9 = -b, -2*k - 2*b = 0. Suppose 0 = -m - 2*m + 15. Solve -m*w**2 + 3*w**2 + 2 + 2*w**3 + w - k*w = 0 for w.
-1, 1
Let x be 169/720 + (-6)/27. Let q(l) be the third derivative of 0*l + 0 + 1/24*l**3 + x*l**5 + 1/32*l**4 + 1/480*l**6 - 3*l**2. Factor q(o).
(o + 1)**3/4
Let g(z) = -9*z**2 + 65*z + 74. Let p(v) = -6*v**2 + 43*v + 49. Let d(q) = 5*g(q) - 7*p(q). Factor d(f).
-3*(f - 9)*(f + 1)
Suppose 4*n = -2*m + 310, 5*n - 3*n - 306 = -2*m. Let q = m - 1055/7. Find t, given that q*t**2 + 0 + 0*t + 2/7*t**3 = 0.
-1, 0
Let x(a) be the first derivative of 2*a**3/3 + 8*a**2 + 32*a - 8. Let x(t) = 0. Calculate t.
-4
Let q(d) be the third derivative of d**7/210 - d**6/40 - d**5/20 + 7*d**4/24 + d**3 + 44*d**2. Let q(v) = 0. Calculate v.
-1, 2, 3
Suppose 0 = -3*v + 78 + 180. Let t = 260/3 - v. What is c in -t*c + 4/3 - 2/3*c**2 = 0?
-2, 1
Let d be -3 - -6 - 159/48. Let a = d + 13/16. Determine k so that 1/2*k**4 - a*k**3 + 0 + 0*k**2 + 0*k = 0.
0, 1
Let j(l) = 16*l. Let h(z) = -z**2 + 47*z. Let f(q) = 4*h(q) - 11*j(q). Find d, given that f(d) = 0.
0, 3
Factor -5/4*q**2 + 0 + 0*q - 5/4*q**5 + 5/4*q**4 + 5/4*q**3.
-5*q**2*(q - 1)**2*(q + 1)/4
Factor -4/5*a + 1/5*a**2 + 3/5.
(a - 3)*(a - 1)/5
Let -26*x**3 - 460*x**2 + 194*x - 74*x**3 - 20 + 2*x = 0. Calculate x.
-5, 1/5
Let g(v) be the third derivative of -v**8/6720 + v**7/1260 + v**6/180 - v**5/15 - v**4/24 - 5*v**2. Let q(u) be the second derivative of g(u). Factor q(i).
-(i - 2)**2*(i + 2)
Let g(b) be the second derivative of b - 1/18*b**3 + 0*b**4 + 0 + 0*b**2 + 1/60*b**5. Solve g(u) = 0 for u.
-1, 0, 1
Let h(j) be the first derivative of j - 1/60*j**5 + 1/18*j**4 + 1/18*j**3 - 1/3*j**2 + 2. Let c(g) be the first derivative of h(g). Find k such that c(k) = 0.
-1, 1, 2
Let c(g) be the first derivative of 3 - g + 1/3*g**3 + 0*g**2. Factor c(p).
(p - 1)*(p + 1)
Let d be 3 + -8*3/9. Factor 0 + 0*r**2 + 1/3*r**3 - d*r.
r*(r - 1)*(r + 1)/3
Factor 3 + 0*g**2 + 3*g**2 + g - 7*g.
3*(g - 1)**2
Let y(o) be the third derivative of 1/525*o**7 + 0*o**3 + 0*o**4 - 7*o**2 + 0*o + 1/50*o**6 + 0 + 3/50*o**5. Find k, given that y(k) = 0.
-3, 0
Let o(n) be the second derivative of -n**7/14 + n**6/2 - 27*n**5/20 + 7*n**4/4 - n**3 + 5*n. Factor o(m).
-3*m*(m - 2)*(m - 1)**3
Let o = -14 + 5. Let n = -44/5 - o. Let 0*f + 1/5 - n*f**2 = 0. Calculate f.
-1, 1
Let f = 5657/15 - 377. Let r(z) be the third derivative of -2*z**2 + 0 + f*z**3 + 0*z + 1/150*z**5 + 1/20*z**4. Factor r(y).
2*(y + 1)*(y + 2)/5
Let r = -40 + 42. Let k(c) be the second derivative of -3/40*c**5 + 0 + 0*c**2 + r*c + 0*c**3 + 1/8*c**4. Suppose k(p) = 0. Calculate p.
0, 1
Let j be ((-160)/300)/((-24)/20). Solve -4/9*d**2 + 0*d + j*d**4 - 2/9*d**3 + 2/9*d**5 + 0 = 0.
-2, -1, 0, 1
Suppose 0 = k + q, 5*k + 2*q + 6 = k. Let n be -2 - k - (0 + -1). Factor 0*g - 2/3*g**4 + 2/3*g**n - 2/3*g**3 + 0 + 2/3*g*