 0 - 3 + 2*h**3 - 5 = 0.
-2, 1
Let x = 21068 - 21065. Let 2/15*b**2 - 2/15*b**4 - 2/15*b**x + 0 + 2/15*b = 0. What is b?
-1, 0, 1
Let h(l) be the first derivative of 9*l**4/4 + 313*l**3/2 + 3081*l**2 + 1014*l - 189. Factor h(b).
3*(b + 26)**2*(6*b + 1)/2
Let h(m) be the second derivative of -m**7/42 - 19*m**6/30 - m**5/10 + 401*m**4/6 - 767*m**3/2 + 1521*m**2/2 + 51*m + 1. Solve h(n) = 0 for n.
-13, 1, 3
Let h(b) be the second derivative of -b**6/6 + 3*b**5/4 + 5*b**4/2 - 20*b**3/3 + 32*b - 3. Factor h(u).
-5*u*(u - 4)*(u - 1)*(u + 2)
Let m(s) be the third derivative of -s**7/525 + s**6/60 + 4*s**5/75 - s**4/5 - 12*s**2. Factor m(o).
-2*o*(o - 6)*(o - 1)*(o + 2)/5
Let x = -1 - -3. Suppose -x*m + 24 = m. Factor 3*g**3 + 9*g**2 + 0*g + g + m*g + 3.
3*(g + 1)**3
Solve 1000*i**4 + 6*i**3 + 2*i**2 - 498*i**4 - 4 - 6*i - 500*i**4 = 0 for i.
-2, -1, 1
Let x be (-352)/(-396)*(-9)/(-10) + 8/10. What is l in 0 + x*l**2 - 2/5*l**4 - 16/5*l + 4/5*l**3 = 0?
-2, 0, 2
Let b be -5*(1/1)/(1/(-4)). Let v(p) = p**2 - 1. Let a(k) = 12*k**2 - 44*k + 232. Let o(q) = b*v(q) - 2*a(q). Factor o(l).
-4*(l - 11)**2
Let j = -7 - -10. Suppose 0*s = -j*s. Factor s*r**2 - 4*r**2 + 7*r**2 + 0*r**2 - 3.
3*(r - 1)*(r + 1)
Let h = 761/266 + -87/38. Solve h*w - 16/7*w**2 - 12/7*w**3 + 8/7 = 0.
-1, 2/3
Let d = -830 + 4153/5. Let z(n) be the first derivative of 3*n**3 + 0*n - 9/4*n**4 - 1 - 3/2*n**2 + d*n**5. Factor z(v).
3*v*(v - 1)**3
Let z be ((-9)/(-21))/(2/14). Suppose -z*o - x + 9 = 0, 4*o - 3*x + 0 = -1. Factor -2/7*v**3 + 0 + 0*v - 2/7*v**o.
-2*v**2*(v + 1)/7
Let m = -89507/7 - -12787. Factor 8/7*y**2 - m*y - 6/7.
2*(y - 1)*(4*y + 3)/7
Let m be -3 + 1 + 1 - 3. Let o(i) = -i**2 - 2*i + 7. Let z(v) = 2*v**2 + 3*v - 13. Let b(k) = m*z(k) - 7*o(k). Find s such that b(s) = 0.
-1, 3
Suppose 6*y - 7*y + 85 = 0. Let r = 88 - y. What is q in -3/4*q**5 + 3/2*q**r + 0*q**2 + 0 - 3/4*q + 0*q**4 = 0?
-1, 0, 1
Suppose 8/5*g**3 + 4/5*g**4 + 0 - 128/5*g - 64/5*g**2 = 0. Calculate g.
-4, -2, 0, 4
Suppose -316*v - 107*v + 3480 = 157*v. Factor -25/4 + v*r**2 + 5/2*r**3 - 5/2*r + 1/4*r**4.
(r - 1)*(r + 1)*(r + 5)**2/4
Let g be (6140/90)/((-6)/(-9) - 0). Let v = 105 - g. Factor -4/3 - 26/3*t**2 - v*t**3 - 22/3*t.
-2*(t + 1)*(t + 2)*(4*t + 1)/3
Let b = -90 - -92. Let f be ((-1)/(-2))/(3/(3/b)). Factor 1/4*c**3 - 1/4*c + 1/4 - f*c**2.
(c - 1)**2*(c + 1)/4
Let g be (175/(-28) + 6)*-1. Let b(f) be the second derivative of -1/40*f**5 + 7*f + 0 - f**3 + g*f**4 + 2*f**2. Find v, given that b(v) = 0.
2
Let a be 1 - -33 - -2 - (2 - 1). Factor 32*g - a - 13 - 4*g**2 + 0*g**2.
-4*(g - 6)*(g - 2)
Let d(b) = -2*b**3 - 3*b**2 - 2*b + 1. Suppose 40 = 2*j + 42. Let a be d(j). Factor -2/7*y**4 + 0 + 2/7*y**a + 0*y + 2/7*y**5 - 2/7*y**3.
2*y**2*(y - 1)**2*(y + 1)/7
Let y = -9451 + 9454. Determine o so that -3/5*o - 1/5*o**y - 3/5*o**2 - 1/5 = 0.
-1
Factor 76/7 + 2/7*k**2 - 6*k.
2*(k - 19)*(k - 2)/7
Let y(w) be the first derivative of w**3/12 + 3*w**2/8 + 97. Factor y(v).
v*(v + 3)/4
Let p(g) be the third derivative of g**6/120 + 7*g**5/60 + 2*g**4/3 + 2*g**3 - 59*g**2. Factor p(w).
(w + 2)**2*(w + 3)
Let g(c) be the third derivative of c**8/560 + 2*c**7/525 - 7*c**6/600 - c**5/75 + c**4/30 - c**2 - 63*c. Let g(x) = 0. Calculate x.
-2, -1, 0, 2/3, 1
Let q(m) be the second derivative of -m**6/6 + 3*m**5/4 + 85*m**4/12 - 65*m**3/2 + 50*m**2 + 223*m. Solve q(c) = 0 for c.
-4, 1, 5
Let h(m) = -7*m**4 + 27*m**3 - 195*m**2 + 175*m - 12. Let x(r) = -6*r**4 + 27*r**3 - 195*r**2 + 174*r - 10. Let w(p) = 5*h(p) - 6*x(p). Factor w(g).
g*(g - 13)**2*(g - 1)
Find c such that 0 + 1/5*c**2 - 1/5*c = 0.
0, 1
Let h = -536 + 1618/3. Let 4/3 - 2/3*o**4 + 2*o**2 + h*o - 2/3*o**3 = 0. What is o?
-1, 2
Let l(a) = -7*a**2 + 593*a + 161. Let z(q) = -42*q**2 + 3558*q + 969. Let m(d) = -34*l(d) + 6*z(d). Find g such that m(g) = 0.
-2/7, 85
What is f in 78*f**2 - 1451*f + 2312 + 2179 + 437*f - 97 + 2*f**3 - 4*f**3 = 0?
13
Factor 14*g - 5*g**2 - 12 + 1/2*g**3.
(g - 6)*(g - 2)**2/2
Let g(v) be the second derivative of -485*v**4/12 + 1385*v**3/6 - 165*v**2 + 2*v. Let a(n) = 22*n**2 - 63*n + 15. Let l(b) = -45*a(b) - 2*g(b). Factor l(j).
-5*(j - 3)*(4*j - 1)
Suppose 5*y + w - 3*w = 30, -2*w - 12 = -2*y. Suppose 5*z**4 + 20*z**2 + 10*z - z**2 + y*z**2 + 20*z**3 = 0. Calculate z.
-2, -1, 0
Let z be ((-10)/6)/((15/(-4))/((-45)/(-10))). Suppose -5*t = 5*c + 10, -2*c - 1 = -3*t + 3. Factor -4/3*o**4 + t*o + o**3 + 0 + 1/3*o**z.
-o**2*(o - 1)*(4*o + 1)/3
Determine q, given that -72*q**3 + 235 + 3*q**2 + 364*q + 76*q**3 + 353 + 65*q**2 = 0.
-7, -3
Let z(c) be the second derivative of c**5/80 - c**3/8 - c**2/4 - 65*c. Factor z(p).
(p - 2)*(p + 1)**2/4
Let z(g) be the first derivative of 7/2*g + 30 + 1/6*g**3 - 2*g**2. Factor z(h).
(h - 7)*(h - 1)/2
Let p = 9641/7 + -1377. Factor 0 - 1/7*t + p*t**2.
t*(2*t - 1)/7
Let a(y) be the third derivative of -y**5/30 + 101*y**4/6 - 10201*y**3/3 - 2*y**2 - 136. Factor a(p).
-2*(p - 101)**2
Let l(a) be the second derivative of -a**6/135 - a**5/30 - a**4/18 - a**3/27 - 155*a. Suppose l(o) = 0. What is o?
-1, 0
Let u = 16477 - 16474. What is k in 0 + 2/9*k**u + 4/9*k**2 + 0*k = 0?
-2, 0
Let j be 3/5*(-30)/(-1). Suppose 5*l + 0*b = -2*b + 16, 0 = -3*l - 4*b + j. Factor z - 2*z**l - 3*z - z + z.
-2*z*(z + 1)
Solve -16*x**3 + 4 + 64*x + 23 - 4*x**2 - 11 = 0 for x.
-2, -1/4, 2
Suppose 4*k = 5*t - 2, -2*t + 3*k = 6 - 4. Let o(i) be the second derivative of 3/7*i**2 - 1/28*i**4 + 0 + t*i + 1/14*i**3. Factor o(y).
-3*(y - 2)*(y + 1)/7
Let o(z) be the first derivative of -6*z + 13 + 3/2*z**3 - 3/8*z**4 + 0*z**2. Solve o(s) = 0 for s.
-1, 2
Let d(t) be the second derivative of t**7/105 + 2*t**6/75 - t**4/15 - t**3/15 + 2*t + 19. Factor d(f).
2*f*(f - 1)*(f + 1)**3/5
Let o(r) = -4*r + 54. Let l be o(13). Let b be 27*l/(-15) + 4. What is s in 0 - 4/5*s**3 - 2/5*s**4 + b*s**2 + 4/5*s = 0?
-2, -1, 0, 1
Let t(x) = x**3 + 8*x**2 - 38*x - 55. Let l be t(-11). Suppose 6/7*b**4 + 0 - 3/7*b**3 + 3/7*b**5 + l*b - 6/7*b**2 = 0. Calculate b.
-2, -1, 0, 1
Let x(u) be the third derivative of 29*u**8/672 + 83*u**7/420 + 5*u**6/16 + 17*u**5/120 - u**4/12 - 43*u**2 - 5. Suppose x(s) = 0. What is s?
-1, 0, 4/29
Let y(t) be the first derivative of -t**3 + 21*t**2 - 39*t - 65. Find u, given that y(u) = 0.
1, 13
Suppose -2*m + 37 = 31. Solve 35*u**4 + 4*u**m + 1 - 1 - 39*u**4 = 0 for u.
0, 1
Let s be (1 - 7)*(-48)/18. Suppose 0 = s*g - 13*g. Determine y, given that 4/11*y**4 + g*y + 0 - 2/11*y**3 + 2/11*y**5 - 4/11*y**2 = 0.
-2, -1, 0, 1
Determine v so that 24*v**3 + 17*v**3 - 31*v**3 + 5*v**4 + 5*v**2 = 0.
-1, 0
Let n(i) be the first derivative of 1/360*i**5 + 1/18*i**3 + 1/2*i**2 - 3 + 0*i - 1/48*i**4. Let p(c) be the second derivative of n(c). Solve p(s) = 0 for s.
1, 2
Let v(z) be the first derivative of z**4/4 - 25*z**3/3 + 25*z**2/2 - 18*z + 5. Let n be v(24). Factor n*g**3 + 0 - 9/7*g**2 - 6/7*g.
3*g*(2*g - 1)*(7*g + 2)/7
Let a(d) = -12*d**4 - 2*d**3 + 2*d + 2. Let o(w) = 36*w**4 + 5*w**3 - 7*w - 7. Suppose 5 = b + 3, 3*v - 5*b + 31 = 0. Let g(y) = v*a(y) - 2*o(y). Factor g(t).
4*t**3*(3*t + 1)
Solve -8*o**3 - 99*o - 6 - 26*o**2 + 5 + 9 + 125*o = 0.
-4, -1/4, 1
Let o(d) = -3*d**2 - 50*d - 141. Let q be o(-13). Factor 4/15 - 2/15*a**q + 2/15*a.
-2*(a - 2)*(a + 1)/15
Let d = -3/32 + 51/32. Determine t, given that d*t**3 - 3 - 6*t**2 + 15/2*t = 0.
1, 2
Let k(v) be the third derivative of -v**5/240 + 253*v**4/48 - 64009*v**3/24 + 665*v**2 + 2. Suppose k(p) = 0. Calculate p.
253
Let q be 16/12*((-7)/1 + (-1755)/(-216)). Let 0 + 3/2*k**5 - q*k**3 + 0*k + 3/2*k**4 - 3/2*k**2 = 0. What is k?
-1, 0, 1
Let w be (2/4)/((-4)/(-16)). Solve 2/7 + 2/7*u**w - 4/7*u = 0.
1
Determine k so that 0*k**2 - k + 1/3*k**3 - 2/3 = 0.
-1, 2
Suppose 4*x + 3*u + 22 = 0, -2*x - 52*u - 16 = -50*u. Factor 0 + 2/9*b**x - 26/9*b.
2*b*(b - 13)/9
Let d be (-1170)/650 + -2 + 7. Factor 0*q - d + 4/5*q**2.
4*(q - 2)*(q + 2)/5
Let x(b) be the third derivative of 5*b**6/8 - 5*b**5/4 - b**4/8 + b**3/2 - b**2 - 10. Find m such that x(m) = 0.
-1/5, 1/5, 1
Determine o, given that -15*o**3 - 115*o**2 + 3*o**5 - 2*o + 133*o**2 - 5*o**4 + 2*o - o**4 = 0.
-2, 0, 1, 3
Factor -51*z**5 + 17*z**4 - 23*z**4 + 2*z**2 + 3*z**3 + 50*z**5 + 6*z**4.
-z**2*(z - 2)*(z + 1)**2
Let x = -23 - -21