*2 + i*v.
-2*(v - 2)**2/15
Let q = 26/63 - -1597/252. Determine j so that 0 - 3/2*j - q*j**2 = 0.
-2/9, 0
Let s(i) be the third derivative of 7/72*i**4 + 0 + 8*i**2 - 1/60*i**5 + 0*i - 1/9*i**3. Factor s(r).
-(r - 2)*(3*r - 1)/3
Let 4*w**3 + 25*w**2 + w**3 + 29 + 0*w**3 - 80 - 10*w - 69 = 0. What is w?
-4, -3, 2
Let x = 44 + -42. Let d = 1732/7 - 247. Factor -3/7*f + d*f**x + 0.
3*f*(f - 1)/7
Let k(z) be the first derivative of 5/6*z**6 - 10*z - 25/2*z**2 + 4*z**5 + 5*z**4 + 16 - 10/3*z**3. Factor k(l).
5*(l - 1)*(l + 1)**3*(l + 2)
Let t(n) be the first derivative of n**4 - 4*n**3/3 + 34. Factor t(r).
4*r**2*(r - 1)
Let a be -15 + (-270)/(-60) + (13 - 2). Solve k**2 - 3 - a*k**3 + 5/2*k = 0.
-2, 1, 3
Let s be 105/(-9) + 0 + 2/(-6). Let z = -9 - s. Solve -2/11*b + 0 + 2/11*b**z + 0*b**2 = 0 for b.
-1, 0, 1
Let q(y) = y**2 - 19*y + 2. Let u(s) = -15*s**2 + 246*s - 27. Let w(d) = 27*q(d) + 2*u(d). Solve w(j) = 0 for j.
-7, 0
Suppose 0 = 5*c + 2*q + 33, -c + 0*c = 4*q + 3. Let b(m) = 4*m**2 + 72*m + 318. Let n(o) = 4*o**2 + 72*o + 317. Let h(v) = c*b(v) + 6*n(v). Factor h(t).
-4*(t + 9)**2
Let m(q) = -q + 23. Let j be (-5)/(2/8*-1). Let d be m(j). Factor 0 - 1/5*i**d - 2/5*i**2 - 1/5*i.
-i*(i + 1)**2/5
Let y = -2045 - -2045. Determine a so that -2/13*a + y - 2/13*a**2 = 0.
-1, 0
Let t = -17502 - -17502. Determine i so that 2/13*i**2 + 2/13*i**3 + 0*i + t = 0.
-1, 0
Let i be -5 + -8*(-4)/8. Let r = 1 - i. Suppose -2 + 192*m**3 + 19*m + 144*m**r - 5 + 10 + 17*m = 0. Calculate m.
-1/4
Factor 3/5*n**2 - 48/5 - 9*n.
3*(n - 16)*(n + 1)/5
Let t(k) = -k**3 - 18*k**2 - 17*k + 3. Let n(f) = -2*f**2 + 16*f + 1. Let j be n(9). Let m be t(j). Let 6/7*d - m*d**2 + 0 = 0. Calculate d.
0, 2/7
Find a, given that 0 + 28*a**4 + 40/3*a**2 + 0*a - 164/3*a**3 = 0.
0, 2/7, 5/3
Let o = -40 + 55. Let d be (-15)/12*(-6)/o. Factor -2 + 4*m - 5/2*m**3 + 1/2*m**5 - d*m**2 + 1/2*m**4.
(m - 1)**3*(m + 2)**2/2
Solve -176/3*j + 2/3*j**2 + 3872/3 = 0 for j.
44
Suppose 2*x = -2*x - 5*a - 18, -5*x - 8 = -a. Let w be (-1)/6 + (x - 5/(-2)). Factor l**3 - 1/3*l**4 + 0 + w*l - l**2.
-l*(l - 1)**3/3
Suppose -5*z + 5*o = 5, 4*z - 8 = 12*o - 10*o. Determine m so that 8/15*m**2 + 0 + 2/5*m**z - 4/15*m**3 - 8/15*m**4 - 2/15*m = 0.
-1, 0, 1/3, 1
Suppose -7*v = -9*v - 3*x, 5*v + x = 13. Let k(z) be the second derivative of 3/2*z**2 + z**v + 0 + 1/4*z**4 + 7*z. Factor k(s).
3*(s + 1)**2
Suppose -16*q**5 - 12*q**4 + 55/4*q**3 + 9/4*q + 12*q**2 + 0 = 0. Calculate q.
-1, -3/8, 0, 1
Let h(q) be the third derivative of q**8/840 + 2*q**7/105 - 3*q**6/25 + 19*q**5/75 - 13*q**4/60 + 2*q**2 - 13*q. Factor h(f).
2*f*(f - 1)**3*(f + 13)/5
Let j(t) be the first derivative of -t**6/10 - 3*t**5/16 - t**4/16 + 8*t + 14. Let x(k) be the first derivative of j(k). Factor x(p).
-3*p**2*(p + 1)*(4*p + 1)/4
Factor 20*i - 672*i**2 + 336*i**2 - 20 + 331*i**2.
-5*(i - 2)**2
Suppose 17*z = 8 + 94. Let x(m) be the second derivative of z*m + 1/21*m**3 - 1/42*m**4 - 1/70*m**5 + 0 + 1/7*m**2. Suppose x(n) = 0. What is n?
-1, 1
Let k be (-221)/(-65) - (-4)/(-10). Let g(q) be the second derivative of q**2 - 1/6*q**4 + 4*q + 0 + 0*q**k. Factor g(a).
-2*(a - 1)*(a + 1)
Let c(q) be the first derivative of q**7/1260 + 3*q**3 + 6. Let b(j) be the third derivative of c(j). Suppose b(m) = 0. Calculate m.
0
Factor -24/5 + 4/5*j**2 - 29/5*j.
(j - 8)*(4*j + 3)/5
Let u be 8/48*12*(-3)/(-12). Factor -u - 1/2*f**2 - f.
-(f + 1)**2/2
Let z be (72/(-64))/((2/4)/((-18)/27)). Solve z*t**3 + 9/2 - 15/2*t + 3/2*t**2 = 0 for t.
-3, 1
Let l be 4 + (4 - (162/(-7))/(-3)). Let g = 60/161 + -2/23. Factor -2/7*b**4 + g*b**2 + 0 + l*b - 2/7*b**3.
-2*b*(b - 1)*(b + 1)**2/7
Solve 5 - 5*p - 8 - 1 - p**2 = 0.
-4, -1
Suppose 0*q = -3*q + 12. Let g = q - 1. Suppose -5*i**3 - g*i**3 + 2*i**2 - 2*i**4 + 2*i + 6*i**3 = 0. Calculate i.
-1, 0, 1
Let m(f) = f**3 - 21*f**2 - 44*f - 42. Let a be m(23). Suppose -p - 1 = 0, 5*c - 4*p - 6 = a*c. Factor 4/3*q**c + 20/3*q + 16/3.
4*(q + 1)*(q + 4)/3
Let l be (61 - 56) + 2*(3/4 - 2). Factor -5/2*u**2 + 0 + 0*u + l*u**3.
5*u**2*(u - 1)/2
Suppose -6 = 3*b - 3*m, -3*m - 115 = -b - 125. Solve -8/3 + 2*c + 2/3*c**b = 0 for c.
-4, 1
Let a(m) be the first derivative of -m**6/180 + m**4/12 + 10*m**3/3 - 11. Let y(t) be the third derivative of a(t). Suppose y(n) = 0. What is n?
-1, 1
Let w(t) = t**4 + 10*t**3 - 11*t**2. Let b(j) = -10*j**3 + 10*j**2. Let m(u) = 4*b(u) + 5*w(u). Determine n, given that m(n) = 0.
-3, 0, 1
Let k(l) be the first derivative of 2*l**5/5 + l**4/2 - 176*l**3/27 + 76*l**2/9 - 32*l/9 - 66. Determine c so that k(c) = 0.
-4, 1/3, 2/3, 2
Let g be 3/((-341)/(-44) - 10 - -6). What is w in -g + 39/5*w**2 + 0*w + 7*w**3 = 0?
-1, -2/5, 2/7
Suppose 2*m**3 - 3*m**3 + 20*m**2 - 8*m**2 = 0. What is m?
0, 12
Let q be ((-2)/4)/(-1 + (-50)/(-60)). Let s(t) be the third derivative of 0*t - 2*t**2 + 9/4*t**5 + q*t**4 + 2*t**3 + 5/8*t**6 + 0. Factor s(f).
3*(f + 1)*(5*f + 2)**2
Factor -1/11*h + 12/11 - 1/11*h**2.
-(h - 3)*(h + 4)/11
Let j be 114 + -4 + (1 - 0). Find k such that -409*k**5 + 18*k**3 - 91*k**3 - 700*k**4 - 473*k**5 - 16*k**2 - j*k**3 = 0.
-2/7, -2/9, 0
Let f = 16 - 6. Suppose -u = -2*i - f, -2*u - 6 = -u + 2*i. Let -m**u - 9*m + 2*m**2 - 4*m**2 = 0. Calculate m.
-3, 0
Suppose -5*c = -5 - 0. Let n be (4 + (-19)/5)*c. What is q in -n*q**5 - 9/5*q**3 - 7/5*q**2 + 0 - 2/5*q - q**4 = 0?
-2, -1, 0
Suppose -4*m = 3*m + 28. Let i be ((-4)/m)/1 + -1. Factor -2/5 + i*l + 6/5*l**2 - 4/5*l**3.
-2*(l - 1)**2*(2*l + 1)/5
Let g(p) be the second derivative of 26*p - 1/100*p**5 - 6/5*p**3 + 0*p**2 + 0 - 1/5*p**4. Suppose g(q) = 0. Calculate q.
-6, 0
Let y = -51 + 42. Let l(d) = -3*d**2 - 6*d - 12. Let u(r) = r**2 + 3*r + 6. Let f(z) = y*u(z) - 4*l(z). Factor f(t).
3*(t - 2)*(t + 1)
Suppose -8*x - 3*x = -77. Let o = 9 - x. Determine k, given that -2/3*k**3 + 0 + 1/3*k + 1/6*k**o - 1/2*k**4 = 0.
-1, 0, 2/3
Factor 9/5*s**2 - 48/5*s + 3/5*s**3 + 36/5.
3*(s - 2)*(s - 1)*(s + 6)/5
Let n = 2343/8 - 878/3. Let x(a) be the first derivative of n*a**6 - 1/4*a**4 - 1/8*a**2 + 0*a - 5 + 3/10*a**5 - 1/2*a**3. Let x(t) = 0. What is t?
-1, -1/5, 0, 1
Let k(q) be the first derivative of 3*q**4/4 - 11*q**3/6 - 7*q**2/4 + 5*q + 233. Let k(j) = 0. Calculate j.
-1, 5/6, 2
Let t be 1/(2/(-2)) - -7. Suppose -6*i = -0*i - t. What is p in -2 + i - 4*p**2 + 12*p + 1 = 0?
0, 3
Solve 55/7 - 15/7*d**2 + 39/7*d + 1/7*d**3 = 0.
-1, 5, 11
Let x(n) be the first derivative of 0*n**3 + 0*n**2 - 2/55*n**5 + 0*n + 1/11*n**4 + 12. Factor x(l).
-2*l**3*(l - 2)/11
Let z(h) be the third derivative of -1/480*h**6 + 11*h**2 + 1/30*h**5 + 0*h - 1/6*h**4 + 0*h**3 + 0. Factor z(l).
-l*(l - 4)**2/4
Let o = 22635/2 - 11317. Factor o*q**2 - 1/2 + 1/2*q - 1/2*q**3.
-(q - 1)**2*(q + 1)/2
Let q(w) be the first derivative of w**8/420 + w**7/210 - w**6/90 - w**5/30 + 7*w**3 + 19. Let y(k) be the third derivative of q(k). Solve y(d) = 0.
-1, 0, 1
Suppose k = -4*g + 4, -2*k + 5*g - 5 = -0*k. Suppose k = 4*u - 290 + 278. Factor -11/3*d**u + 5/3*d**2 + 4/3*d**4 + 2/3*d + 0.
d*(d - 2)*(d - 1)*(4*d + 1)/3
Let z(u) be the second derivative of -u**5/100 + 7*u**4/20 + 11*u**3/15 + 69*u. Factor z(g).
-g*(g - 22)*(g + 1)/5
Let r(c) = 3*c**2 + 33*c - 14. Let t be r(-12). Suppose -4*w**4 - 7*w**2 - 42 + 96*w - 24*w**3 - t + 11*w**2 - 8*w**2 = 0. Calculate w.
-4, 1
Let i(p) be the second derivative of 1/9*p**3 + 1/36*p**4 + 5*p + 0 + 1/6*p**2. Solve i(m) = 0 for m.
-1
Suppose 5*y = x + 13, -y - 5 = -4*y + 2*x. Factor -2*h**3 - 2*h**y + 15*h**4 - 2*h**3 + 21*h**5.
3*h**3*(h + 1)*(7*h - 2)
Let n = 3601/763 + 15/109. Let g = n - 278/63. What is l in 2/3*l**2 - g*l + 0 - 2/9*l**3 = 0?
0, 1, 2
Let z(x) be the third derivative of x**6/240 + 3*x**5/10 + 119*x**4/16 + 289*x**3/6 + 437*x**2. Let z(c) = 0. Calculate c.
-17, -2
Let o be -4*(-9)/(-54) + 574/357. Factor -14/17*l**2 + 2/17*l**3 + 28/17*l - o.
2*(l - 4)*(l - 2)*(l - 1)/17
Let s be (-1)/(-2)*(-4)/(-8). Let u(l) be the second derivative of -s*l**4 + 0 - l + 1/2*l**3 + 3*l**2. Factor u(x).
-3*(x - 2)*(x + 1)
Let y = -154 - -156. Let t(r) be the first derivative of 4 + y*r**3 + 0*r**2 + 1/2*r**4 + 0*r. Let t(s) = 0. Calculate s.
-3, 0
Factor 24/11*d + 26/11 - 2/11*d**2.
-2*(d - 13)*(d + 1)/11
Let u(s) be the second derivative of s**6/285 + 