- 4/5*q**2 - 2/5*q + 0.
-2*q*(q + 1)**2/5
Suppose 2/3*x**3 + 8/3 + 16/3*x + 10/3*x**2 = 0. Calculate x.
-2, -1
Solve 0*s**2 - 35/6*s**3 + 2/3*s + 0 + 15/2*s**4 - 7/3*s**5 = 0 for s.
-2/7, 0, 1/2, 1, 2
Let i be ((-18)/(-36))/((-1)/(-6)). Factor 0 + 0*w + 0*w**2 + 4*w**5 - 8/3*w**4 + 0*w**i.
4*w**4*(3*w - 2)/3
Let t(j) = -9*j**3 + 20*j**2 - 5*j - 34. Let r(k) = 6*k**3 - 13*k**2 + 4*k + 23. Let u(f) = 7*r(f) + 5*t(f). Factor u(w).
-3*(w - 3)*(w - 1)*(w + 1)
Let t = -6249 - -6251. Let -6/11 - 4/11*u + 2/11*u**t = 0. What is u?
-1, 3
Suppose 3*p = -2*u - 1, -5*u = -p - 0*u - 23. Let t be (-396)/(-77) + (p - 2). Solve t*w**4 + 0 - 2/7*w - 1/7*w**2 + 2/7*w**3 = 0 for w.
-2, -1, 0, 1
Let d(b) = b**3 - 1. Let u(l) = -5*l**3 + 6*l**2 - 6*l + 5. Let n(a) = 3*d(a) + u(a). Find x such that n(x) = 0.
1
Let k = -2341 - -2343. Factor 0 + 2*h - 4/3*h**k - 2/3*h**3.
-2*h*(h - 1)*(h + 3)/3
Find z such that 30*z**2 - 15/2*z**4 + 0 + 5/4*z**5 + 5/4*z**3 + 20*z = 0.
-1, 0, 4
Let c be (3/(6/7))/(21/24). Let 1/5*t**c + 0 - 1/5*t**2 + t**3 - t = 0. Calculate t.
-5, -1, 0, 1
Factor -2*v**2 + 7*v**2 + 20 - v**2 - 20*v + v**2 + 0*v**2.
5*(v - 2)**2
Let l(c) be the third derivative of -13*c**2 - 4/7*c**3 + 1/12*c**4 - 1/210*c**5 + 0 + 0*c. Solve l(f) = 0.
3, 4
Let w(v) be the first derivative of 0*v + 4/15*v**3 + 6/5*v**2 - 8. Suppose w(a) = 0. What is a?
-3, 0
Let d(m) = -3*m**2 - 7*m + 17. Let c(i) = 2*i**2 + 3*i - 8. Suppose -5*a - 14 = 1. Let b(w) = a*d(w) - 7*c(w). Factor b(r).
-5*(r - 1)*(r + 1)
Let o(k) be the first derivative of -k**5/25 - 13*k**4/20 - 41*k**3/15 - 47*k**2/10 - 18*k/5 - 10. Factor o(h).
-(h + 1)**2*(h + 2)*(h + 9)/5
Let q(c) be the first derivative of c**6/3 + 58*c**5/5 + 195*c**4/2 - 150*c**3 - 173. Factor q(v).
2*v**2*(v - 1)*(v + 15)**2
Let t be 42/(-28) - (1 + (-11)/2). Let d(k) be the first derivative of 2/3*k**t + k - 1/8*k**4 - 12 - 5/4*k**2. Factor d(u).
-(u - 2)*(u - 1)**2/2
Let b(i) be the third derivative of 1/42*i**4 + 1/14*i**3 + 1/1176*i**8 + 0*i - 1/105*i**5 - 1/140*i**6 + 0 + 1/1470*i**7 - 20*i**2. What is q in b(q) = 0?
-1, 1, 3/2
Let d(t) be the second derivative of -t**7/98 + 3*t**5/70 - t**3/14 + 51*t + 2. Factor d(v).
-3*v*(v - 1)**2*(v + 1)**2/7
Suppose 5*k + 6 = -0*q + 4*q, 3*q = k + 10. Factor -24*o**2 + 25*o**2 + k - 6.
(o - 2)*(o + 2)
Let z(l) be the second derivative of l**7/14 + l**6/2 + 2*l + 130. Factor z(g).
3*g**4*(g + 5)
Factor -1/2*h**3 - 22*h + 0 + 12*h**2.
-h*(h - 22)*(h - 2)/2
Let c(g) be the first derivative of 1/12*g**2 - 9 + g - 5/18*g**3. Factor c(v).
-(v + 1)*(5*v - 6)/6
Let c(f) be the second derivative of -f**7/84 - f**6/15 + 7*f**4/12 + 17*f**3/12 + 3*f**2/2 - 8*f + 1. Factor c(w).
-(w - 2)*(w + 1)**3*(w + 3)/2
Let t(v) be the third derivative of -2*v**7/315 + 5*v**6/18 + 142*v**5/45 + 118*v**4/9 + 80*v**3/3 - 186*v**2 - 2*v. Let t(s) = 0. What is s?
-2, -1, 30
Let m(q) be the third derivative of -q**8/840 + 2*q**7/525 + q**6/50 - 4*q**5/75 - q**4/12 + 2*q**3/5 + 114*q**2. Suppose m(v) = 0. Calculate v.
-2, -1, 1, 3
Factor 48/5 + 243/5*i**2 + 216/5*i.
3*(9*i + 4)**2/5
Let r = -206 + 210. Let b be 5*2*3/10. Find y such that 4/5 - 2/5*y**r + 2*y - 2/5*y**b + 6/5*y**2 = 0.
-1, 2
Let b = 142 + -137. Suppose 0 = -2*f + 4*a + 8, -a = b*f - 3*a - 12. Find g such that -1/3*g**f - 1/9 - 4/9*g = 0.
-1, -1/3
Let y(p) be the first derivative of p**4/2 + 12*p**3 - 39*p**2 + 40*p + 45. Determine t so that y(t) = 0.
-20, 1
Let p be (4/20)/((-38)/(-95)). Determine m so that -p - m - 1/2*m**2 = 0.
-1
Let a = -179 - -43. Let t = 412/3 + a. Determine i, given that -t*i**2 - 4/3*i**5 + 4/3*i**4 + 4*i**3 + 0 - 8/3*i = 0.
-1, 0, 1, 2
Suppose 0*g - 28 = -2*g - 3*b, 0 = 4*g + 2*b - 72. Factor -16 - 4*l**2 + g - 10 - 11*l + l**3.
(l - 6)*(l + 1)**2
Let j = 2753614/11 + -250799. Let g = j - -471. Factor 0 + 2/11*l**4 + 4/11*l - g*l**2 + 0*l**3.
2*l*(l - 1)**2*(l + 2)/11
Determine u, given that 36*u**4 - 149*u + 32*u**4 + 399*u - 6*u - 68*u**2 + 334*u - 2*u**5 - 576*u**3 = 0.
-1, 0, 1, 17
Let b(d) = -d**3 - 16*d**2 + 35*d - 13. Let j be (5*(-54)/75)/(1/5). Let y be b(j). Factor -4/21*n - 2/7*n**3 + 2/21*n**y + 2/21*n**4 + 0 - 10/21*n**2.
2*n*(n - 2)*(n + 1)**3/21
Let c = 29 + -29. Let n = -2957/7 - -423. Let 0*k**4 + 0 + 0*k + n*k**3 - 4/7*k**5 + c*k**2 = 0. What is k?
-1, 0, 1
Let v be (-2)/2 + (6 - 4/2). Solve 3*j**2 + 2*j**2 + 10 - 10 + 5*j**v = 0 for j.
-1, 0
Let 57 + 134*q**2 - 20 + 62*q**2 - 52*q**3 + 19 - 12*q**4 - 188*q = 0. What is q?
-7, 2/3, 1
Suppose 17*j = -j - 15*j. Let d(f) be the third derivative of j*f**3 + 0*f + 1/16*f**4 + 0 + 1/120*f**5 + 7*f**2. Factor d(g).
g*(g + 3)/2
Let n(b) = 3*b - 15. Let f be n(5). Let x(t) be the third derivative of 0 - 3/40*t**6 - 1/20*t**5 + t**4 + f*t + t**2 - 2*t**3. Factor x(w).
-3*(w - 1)*(w + 2)*(3*w - 2)
Let v(z) = z**3 + 7*z**2 + 6*z. Let i(j) = -j**3 - 6*j**2 - 5*j. Let l(p) = 4*i(p) + 3*v(p). Suppose l(d) = 0. Calculate d.
-2, -1, 0
Let q(g) be the first derivative of 34 + 1/16*g**4 + 0*g**2 + 0*g**3 + 0*g. Factor q(h).
h**3/4
Let s = 149 - 144. Determine q so that 97*q**5 + q**4 - 49*q**s - 2*q**2 - 55*q**5 - 3*q**3 + 11*q**4 = 0.
-2/7, 0, 1
Let t be (-1)/(-2)*(9 - -5). Solve 15*v**2 + 15*v**3 - 12 - 6*v**4 - 3*v**5 - 4*v**4 - 12*v + t*v**4 = 0.
-2, -1, 1, 2
Suppose 4*o = -c + 6, 4*o + 5*c - 10 = 6*c. Factor o*b**5 + 4*b**4 + 2*b**3 - 8*b**2 - b**2 + 9*b**2.
2*b**3*(b + 1)**2
Determine w so that 48/7*w - 4/7*w**3 - 32/7*w**2 + 576/7 = 0.
-6, 4
Let w = -1467/5 - -294. Factor 9/5 + w*m**2 + 3*m - 3/5*m**3.
-3*(m - 3)*(m + 1)**2/5
Find f such that 135/2 + 15*f + 5/6*f**2 = 0.
-9
Let s(z) be the second derivative of z**5/30 - z**4/45 - 4*z**3/45 - 6*z**2 + 25*z. Let y(v) be the first derivative of s(v). Let y(c) = 0. Calculate c.
-2/5, 2/3
Let g(b) = b**3 - b**2 + b - 1. Suppose 0 = 4*v - 16 + 12. Let l(i) = 4*i**2 - 4. Let a(z) = v*l(z) - 4*g(z). Factor a(w).
-4*w*(w - 1)**2
Determine b, given that -1/3*b**3 + 11/3*b**2 + 1 - 2/3*b**4 - 11/3*b = 0.
-3, 1/2, 1
Let n(z) = 7*z**4 + 25*z**3 - 107*z**2 + 146*z - 61. Let u(t) = -6*t**4 - 24*t**3 + 106*t**2 - 144*t + 60. Let i(y) = -4*n(y) - 5*u(y). Factor i(d).
2*(d - 2)*(d - 1)**2*(d + 14)
Let f(o) be the second derivative of 0 + 40/7*o**3 - 16/7*o**2 - 54/35*o**6 - 58/21*o**4 - 207/35*o**5 - 14*o. Solve f(c) = 0.
-2, -1, 2/9
Let v be 2 - (2/12 - 187/(-102)). Suppose v*y**2 + 0*y + 3/2*y**5 + 3*y**4 + 3/2*y**3 + 0 = 0. Calculate y.
-1, 0
Let o(i) be the third derivative of 5/672*i**8 - 13*i**2 - 1/24*i**4 + 1/120*i**5 - 13/420*i**7 + 3/80*i**6 + 0 + 0*i + 0*i**3. Solve o(f) = 0 for f.
-2/5, 0, 1
Find a, given that 345*a**2 + 27*a**3 - 5248*a + 645*a**2 + 5899*a + 108 = 0.
-36, -1/3
Let w(c) = -c**3 + 6*c**2 + c - 6. Let r be w(6). Factor -2*v**2 + 3*v**2 - v + r*v**2 - 3*v.
v*(v - 4)
Let x(z) = -z**3 + 175*z**2 + 634*z + 614. Let l(k) = -10*k**3 + 1575*k**2 + 5705*k + 5525. Let g(v) = -6*l(v) + 55*x(v). Factor g(b).
5*(b + 2)**2*(b + 31)
Let l(x) be the second derivative of 1/3*x**4 + 0*x**2 + 0*x**3 - 4/15*x**6 - 30*x + 0 - 1/5*x**5. Factor l(y).
-4*y**2*(y + 1)*(2*y - 1)
Let r(z) = -z - 5. Let y be r(-9). Let m(l) be the second derivative of 0*l**2 + 0*l**3 - 9*l + 0*l**5 + 0 + 1/120*l**6 - 1/48*l**y. Find s such that m(s) = 0.
-1, 0, 1
Let x be (-6)/(-30) + 138/60. Factor 0 + 2*i**4 + 0*i - x*i**3 - 1/2*i**5 + i**2.
-i**2*(i - 2)*(i - 1)**2/2
Find o, given that 2/5*o**4 - 4/5 + 1/5*o**5 - 8/5*o**3 + 2/5*o**2 + 7/5*o = 0.
-4, -1, 1
Suppose -10 = 43*a - 48*a. Let 60*i - 4*i**4 + 35*i**2 - 7*i**a + 0*i**2 - 72 - 12*i**3 = 0. What is i?
-3, 1, 2
Let z(d) be the third derivative of -d**8/112 + d**7/70 + 7*d**6/20 + 13*d**5/10 + 19*d**4/8 + 5*d**3/2 + 13*d**2 + 2. Factor z(o).
-3*(o - 5)*(o + 1)**4
Let v(d) be the second derivative of 0*d**2 + 0*d**3 + 2/15*d**6 + 0*d**5 + 30*d + 0*d**4 + 2/21*d**7 + 0. Factor v(i).
4*i**4*(i + 1)
Let s(y) = -y**3 + 4*y**2 - 3*y + 10. Let i be s(4). Let l be (-1 - i)/((-5)/(-235)). Factor -27*p**4 - 84*p**2 + l*p**3 - 7*p + 21*p**3 + 7*p**4 - 8 + 51*p.
-4*(p - 1)**3*(5*p - 2)
Let y(f) be the first derivative of 2*f**5/45 + 2*f**4/9 + 10*f**3/27 + 2*f**2/9 + 69. Find g, given that y(g) = 0.
-2, -1, 0
Let x(h) be the second derivative of h**8/560 - h**7/280 - h**6/60 + 7*h**3/3 + 16*h. Let s(o) be