*m**b + 0*m - 2*m**3 - 2*m - 2*m**3 = 0?
-1, 0
Solve 21*j**2 - 7*j**2 + 32*j + 5 + 3 = 0.
-2, -2/7
Let h(o) = 2*o**2 - 48*o + 3. Let f be h(24). Let b(d) be the second derivative of 0 - 2/5*d**5 + 0*d**f - 2/15*d**6 - 1/3*d**4 + 4*d + 0*d**2. Factor b(v).
-4*v**2*(v + 1)**2
Solve -23*i**3 + 2*i**2 - 4*i + 290711 - 32*i**2 - 5*i**4 - 290703 = 0.
-2, -1, 2/5
Factor -9 - s**2 + 5 + 0 + 3*s + 2*s.
-(s - 4)*(s - 1)
Let s be ((-30)/8)/(((-27)/(-2))/(180/(-15))). Factor 0*v - 5/3 - 5/3*v**4 + 0*v**3 + s*v**2.
-5*(v - 1)**2*(v + 1)**2/3
Let f(a) be the first derivative of -9*a**2 - 9*a**3 - 15/8*a**4 - 12 + 12*a. Factor f(j).
-3*(j + 2)**2*(5*j - 2)/2
Let s(w) be the second derivative of -w**6/60 - 13*w**5/40 - w**4/2 - 227*w. Factor s(i).
-i**2*(i + 1)*(i + 12)/2
Suppose 0 = c - 12 - 8. Suppose 15*d - c*d + 25 = 0. Factor -d*x**3 + 2*x**3 - 8*x + 9*x**2 - x + 3.
-3*(x - 1)**3
Let s(y) be the first derivative of 16/3*y**3 + 0*y + 12*y**4 + 0*y**2 + 4*y**5 + 1. Let s(w) = 0. What is w?
-2, -2/5, 0
Let k be (16 + -2)/(-2)*(-60)/(-7). Let s = k - -65. Factor 0 + 32/5*p**4 + 4/5*p**2 - 14/5*p**s + 0*p - 22/5*p**3.
-2*p**2*(p - 1)**2*(7*p - 2)/5
Factor -495*n**4 + 170*n + 845*n**2 + 1031*n**4 - 1045*n**3 - 506*n**4.
5*n*(n - 34)*(n - 1)*(6*n + 1)
Suppose 1 = -8*t + 65. Suppose 6*d = t*d - 6. Find g, given that -9*g**3 + 14*g**3 + d*g**3 + 4*g - 14*g**2 + 2 = 0.
-1/4, 1
Suppose 72/13 + 14/13*n**2 - 174/13*n = 0. What is n?
3/7, 12
Let d(o) be the second derivative of -2*o**4/3 + 9*o**3 + 7*o**2 + 27*o. Determine x, given that d(x) = 0.
-1/4, 7
Let f = 2401 - 2397. Let i(r) be the second derivative of -7*r + 0 - 1/36*r**f + 0*r**2 - 1/6*r**3. Let i(z) = 0. What is z?
-3, 0
Let l(n) be the first derivative of 2*n**5/15 + 7*n**4/6 - 2*n**3 - 7*n**2/3 + 16*n/3 + 62. Factor l(j).
2*(j - 1)**2*(j + 1)*(j + 8)/3
Let f(l) be the second derivative of -l**7/21 + 23*l**6/35 - 193*l**5/70 + 9*l**4/14 + 344*l**3/21 + 48*l**2/7 + 258*l. Solve f(o) = 0.
-1, -1/7, 3, 4
Let t be (-34)/120 + 2/6. Let h(w) be the third derivative of 1/3*w**4 + 0 + 0*w**3 + 0*w - t*w**6 + 0*w**5 - 2*w**2 + 1/105*w**7. Factor h(q).
2*q*(q - 2)**2*(q + 1)
Let c(g) = -4*g**2 - 12*g + 9. Let v be c(9). Let f = -5495/13 - v. Find y such that -f*y**3 + 0*y**2 + 4/13*y + 2/13 - 2/13*y**4 = 0.
-1, 1
Suppose -5*u + 112 = s, -s = 3*s + 12. Let n = u + -23. Factor n*w + 1/4 + 0*w**3 + 1/4*w**4 - 1/2*w**2.
(w - 1)**2*(w + 1)**2/4
Let k = 12 + -16. Let d be ((-46)/(-12) - 4)/(3/k). Let -d*j**3 - 2/9 - 2/3*j**2 - 2/3*j = 0. What is j?
-1
Let m(b) = b**2 + b + 1. Let o(h) = 6*h**2 + 72*h - 504. Let y(i) = -8*m(i) + o(i). Determine w, given that y(w) = 0.
16
Let u(t) be the first derivative of t**4/12 - t**3/9 - 2*t**2 - 16. Factor u(z).
z*(z - 4)*(z + 3)/3
Suppose 0 = 6*a + 83 - 23. Let p = a + 21/2. Factor t**2 + 0 - p*t**3 - 1/2*t.
-t*(t - 1)**2/2
Solve 0 + 10*m**2 + 5*m**3 + 5/2*m**5 - 10*m**4 - 15/2*m = 0 for m.
-1, 0, 1, 3
Find z, given that -418*z**2 + 605*z - 7*z**4 + 1/5*z**5 - 1331/5 + 86*z**3 = 0.
1, 11
Let y(b) = 3*b**2 - 5. Let u(o) = 25*o**2 - 38. Let n(a) = -6*u(a) + 51*y(a). Suppose n(z) = 0. What is z?
-3, 3
Let -54*i - 23*i**2 - 98*i**5 + 88*i**4 - 58*i + 4*i**3 - 185*i**2 + 86*i**5 = 0. Calculate i.
-1, -2/3, 0, 2, 7
Let n(s) be the second derivative of -5*s**4/12 + 85*s**3 - 13005*s**2/2 + 39*s. Solve n(d) = 0 for d.
51
Suppose 195*t + 582*t + 87*t + 4*t**2 = 0. Calculate t.
-216, 0
Let w be -8 - (10/((-360)/484) + 5). Factor -1/9*n**5 + 0 + 4/3*n**2 - 13/9*n**3 - w*n + 2/3*n**4.
-n*(n - 2)**2*(n - 1)**2/9
Let y(t) be the third derivative of -7/48*t**4 + 0 + 0*t + 5/36*t**3 + 1/90*t**5 + 33*t**2. Solve y(h) = 0 for h.
1/4, 5
Let z = 1929 + -1144. Find p such that -3*p**4 - z*p**2 - 2*p**3 + 794*p**2 - 4*p**3 = 0.
-3, 0, 1
Let n(w) be the first derivative of -w**8/336 + w**6/60 - w**4/24 - 6*w**2 + 5. Let r(o) be the second derivative of n(o). Factor r(q).
-q*(q - 1)**2*(q + 1)**2
Let v(z) be the first derivative of 27*z**4/40 - 29*z**3/15 + 7*z**2/4 - 2*z/5 - 6. Factor v(o).
(o - 1)**2*(27*o - 4)/10
Let f(a) be the first derivative of a**4/26 + 2*a**3/13 - 6*a**2/13 - 16*a/13 + 494. Factor f(w).
2*(w - 2)*(w + 1)*(w + 4)/13
Let w(i) be the third derivative of -i**7/42 + i**6/4 - i**5 + 25*i**4/12 - 5*i**3/2 + 2*i**2 + 12. Suppose w(l) = 0. What is l?
1, 3
Let l(t) be the third derivative of 0*t + 1/6*t**4 + 2*t**2 - 4/3*t**3 + 1/2*t**5 + 23/120*t**6 + 0 + 1/42*t**7. Solve l(v) = 0.
-2, -1, 2/5
Let g = -7 + 10. Factor 0*r**g + 3*r**3 + 18*r - 9*r**2 - 6*r - 3*r - 3.
3*(r - 1)**3
Let h(u) be the second derivative of u**6/150 - u**5/100 - u**4/60 + u**3/30 + 20*u - 9. Factor h(j).
j*(j - 1)**2*(j + 1)/5
Let g be (180/3078)/((-1)/(-9)). Let -16/19*p + g*p**2 + 8/19 - 2/19*p**3 = 0. Calculate p.
1, 2
Let k(c) be the third derivative of -c**5/12 - 5*c**4/6 - 79*c**2. What is i in k(i) = 0?
-4, 0
Factor 2*o**2 - 7*o + 11*o**3 - 4*o**4 - 2*o + 3*o**4 - o**2 - 2*o.
-o*(o - 11)*(o - 1)*(o + 1)
Let f(b) be the third derivative of b**8/168 + 4*b**7/45 + 61*b**6/180 - b**4 + 52*b**2. Suppose f(y) = 0. Calculate y.
-6, -3, -1, 0, 2/3
Suppose o + 88 - 90 = 0. Let q(l) = 5*l**3 - 2*l**2 + 1. Let w be q(1). Factor 2*v**2 + o*v**2 + 3*v + 3*v**2 - w*v**2.
3*v*(v + 1)
Let p(o) be the second derivative of o**4/21 - 74*o**3/21 + 72*o**2/7 - 564*o. Factor p(k).
4*(k - 36)*(k - 1)/7
Suppose -36*o + 30*o = 36. Let u be ((-9)/o)/(18/(-66)*-1). Factor 9/2*n**2 + 1 + u*n.
(n + 1)*(9*n + 2)/2
Let t(b) = -b**2 - 9*b + 6. Let k = -28 - -32. Let d(g) = g**2 - g - 1. Let o(x) = k*d(x) - t(x). Factor o(z).
5*(z - 1)*(z + 2)
Let w(k) be the first derivative of -2*k**3/3 - 13*k**2 + 60*k - 277. Factor w(o).
-2*(o - 2)*(o + 15)
Let q be (1*-2 - -5)/1. Suppose 2*v = 3*p, p = -4*p + 2*v + 4. Let q*d**5 - 3*d**2 + 5*d + 6*d**4 - p*d - 3*d**2 - 6*d**5 = 0. What is d?
-1, 0, 1
Suppose 0 = -5*u + 3*a, 5*a - 2*a = 0. Let m(b) be the second derivative of 0 + 0*b**5 - 5/42*b**7 + 1/6*b**6 + b + u*b**3 + 0*b**4 + 0*b**2. Factor m(r).
-5*r**4*(r - 1)
Let o = 1192/7 - 4663/28. Factor 3/4*n**3 + 21/4*n - o*n**2 - 9/4.
3*(n - 3)*(n - 1)**2/4
Let s = 512 - 499. Let l(m) be the first derivative of -8*m**3 - s + 16*m**2 + 3/2*m**4 + 0*m - 1/10*m**5. Determine h, given that l(h) = 0.
0, 4
Let z(w) be the third derivative of -w**9/52920 - w**8/5880 - w**7/2205 - 3*w**4/8 + 7*w**2. Let k(x) be the second derivative of z(x). Factor k(n).
-2*n**2*(n + 2)**2/7
Factor 39*m + 27/2*m**2 + 3/2*m**3 + 36.
3*(m + 2)*(m + 3)*(m + 4)/2
Suppose 5*g - 29 + 9 = 0. Suppose -44*b = 5*r - 47*b - 15, 2*b + 10 = 0. Let -3/2*c**5 - 3/2*c - 6*c**g + r - 9*c**3 - 6*c**2 = 0. What is c?
-1, 0
Let o be ((-3 - -13)/(-2))/(-1). Suppose -o*x = 4*p, -4 - 1 = p. Factor 5*g**x - 2*g - 10*g**4 - 24*g**3 - 12*g**2 - 11*g**4.
-2*g*(2*g + 1)**3
Let q(j) = j**2 + 10*j + 10. Let t(i) = -3*i**2 - 32*i - 31. Let k(x) = -7*q(x) - 2*t(x). Let k(s) = 0. What is s?
-4, -2
Let t(u) be the first derivative of 9*u**4/20 - 44*u**3/5 + 81*u**2/2 + 30*u - 562. Determine w, given that t(w) = 0.
-1/3, 5, 10
Determine c, given that -2/5*c**2 - 8/5 + 8/5*c = 0.
2
Let p(m) be the second derivative of m**7/3360 - m**6/720 - m**5/480 + m**4/48 - 5*m**3/3 + 5*m. Let o(g) be the second derivative of p(g). Factor o(w).
(w - 2)*(w - 1)*(w + 1)/4
Let g(a) = a**2 - 22*a - 363. Let j be g(-11). Factor 0 + j*r + 1/6*r**3 + 1/12*r**4 + 1/12*r**2.
r**2*(r + 1)**2/12
Let r(b) = b**3 + 10*b**2 - b - 10. Let t(o) = 12*o**3 + 110*o**2 - 12*o - 110. Let x(j) = -68*r(j) + 6*t(j). Suppose x(q) = 0. Calculate q.
-1, 1, 5
Let f = -285 - -293. Let v(w) be the first derivative of f + 0*w**3 + 2/15*w**5 + 1/6*w**4 + 0*w + 0*w**2. Factor v(x).
2*x**3*(x + 1)/3
Let -5/2*t**3 - 2*t + 6*t**2 + 0 = 0. Calculate t.
0, 2/5, 2
Let g(z) = 2*z**2 + 8. Let v be g(0). Let h(b) = -5*b**3 - b**2 + 4. Let o(n) = 3*n**3 + n**2 - 3. Let y(i) = v*o(i) + 5*h(i). Factor y(m).
-(m - 2)**2*(m + 1)
Suppose -3*n = f - 21 + 5, -f - 12 = -4*n. Suppose -1/6*d**n + 1/2*d**3 - 1/6*d**2 + 1/3 - 1/2*d = 0. Calculate d.
-1, 1, 2
Determine i so that -24*i**2 - 32*i**4 - 12*i - 8 + 64*i**2 - 4*i**5 - 6*i**5 + 14*i**5 + 8*i**5 = 0.
-1, -1/3, 1, 2
Suppose -2/5*c**2 - 6/5 + 2*c - 2/5*c**3 = 0. What is c?
-3, 1
Let p = -1367 - -1371. Let i(o) be the fi