l**u.
2*l**2*(5*l + 2)/5
Let k = -144 + 148. Let a(q) be the first derivative of -2/3*q - 1/9*q**3 + k - 1/2*q**2. What is c in a(c) = 0?
-2, -1
Let m(p) be the third derivative of 1/24*p**4 + 0*p**5 - 1/420*p**7 + 1/12*p**3 + 0*p - 1/120*p**6 - 2*p**2 + 0. Determine b so that m(b) = 0.
-1, 1
Let z(n) be the third derivative of 5*n**8/336 - 2*n**7/21 + n**6/6 + n**5/6 - 25*n**4/24 + 5*n**3/3 + 23*n**2. Let z(s) = 0. Calculate s.
-1, 1, 2
Let o = -517 - -517. Determine c so that 4/7*c + o - 2/7*c**2 - 2/7*c**3 = 0.
-2, 0, 1
Let a = 9 + -6. Suppose 0 = -g - a*g - 4, -4*w + 10 = -2*g. Factor 0 + 0*n**3 + 1/3*n**4 - 1/3*n**w + 0*n.
n**2*(n - 1)*(n + 1)/3
Let j(s) be the first derivative of s**7/2940 - s**5/140 + s**4/42 + 2*s**3/3 + 8. Let t(l) be the third derivative of j(l). Determine d, given that t(d) = 0.
-2, 1
Let y = 71/480 + 5/96. Suppose -2/5 - 4/5*m**2 - y*m**3 - m = 0. Calculate m.
-2, -1
Let g = 511 + -509. Factor 8/7 + 16/7*v - 6/7*v**3 + 2/7*v**g.
-2*(v - 2)*(v + 1)*(3*v + 2)/7
Factor -2*m + 3*m**3 + 3*m**4 + 2*m**2 - 9*m**2 - m + 6 - 2*m**2.
3*(m - 1)**2*(m + 1)*(m + 2)
Suppose 3*r + 46 = 5*k - r, 0 = -5*k - 3*r + 18. Let m be k/4*(1 + 1). Factor 0*q**4 + q**4 + q**2 + q**m + q**3.
q**2*(q + 1)**2
Suppose 4 = 4*m - 8. Determine t, given that m*t**4 + 6*t**5 - 1 - 4*t**2 + 2*t - 8*t**3 + 1 + t**4 = 0.
-1, 0, 1/3, 1
Let q(u) = -u**2 - 17*u + 18. Let v be q(-18). Let f(s) be the third derivative of -3*s**2 + 1/6*s**3 - 1/60*s**5 + v*s + 1/16*s**4 + 0. Solve f(d) = 0 for d.
-1/2, 2
Let g be (-6)/(-2) + -3 + 3. Factor 168*x - g*x**3 + 2*x**2 - 2 - 170*x + 5*x**3.
2*(x - 1)*(x + 1)**2
Let l(t) be the third derivative of -1/60*t**6 + 0 + 0*t + 0*t**3 + 1/12*t**4 - 5*t**2 + 0*t**5. Solve l(o) = 0.
-1, 0, 1
Determine d so that -5*d + 23*d - 15*d**3 + 6*d**2 + 5*d**3 + 2*d**4 = 0.
-1, 0, 3
Factor 4*c - 2*c**3 + 4 - 3*c + 6*c - c.
-2*(c - 2)*(c + 1)**2
Let k be 0 + (1 - (-2)/(-6)). Let u be (5 - (-387)/(-81)) + 1/(-18). Factor -5/6*q - k*q**2 - u*q**3 - 1/3.
-(q + 1)**2*(q + 2)/6
Let f(s) = -s**3 + 9*s**2 + 3*s**2 + 13 - 5*s + 32*s. Let k(h) = 3 - 4 - h**3 - h + 2*h. Let r(t) = f(t) - 3*k(t). Suppose r(y) = 0. Calculate y.
-2
Let l(t) = t**4 + t**2 + t + 1. Let r(s) = -2*s**4 - s**3 - 6*s**2 + 2*s - 5. Let m(n) = -3*l(n) - r(n). Factor m(x).
-(x - 1)**3*(x + 2)
Let a(q) be the third derivative of -q**7/735 - q**6/210 + q**5/70 + q**4/21 - 4*q**3/21 + 62*q**2 - q. Let a(j) = 0. What is j?
-2, 1
Let 3*l**2 - l**2 + 6 + 3*l**2 - 26 = 0. Calculate l.
-2, 2
Let w = -8 - -12. Let y be ((-4)/w)/2 + 1. Find a, given that a**3 + y*a - 3/2*a**2 + 0 = 0.
0, 1/2, 1
Suppose -7*g + 21 = -0*g. Let o(v) be the third derivative of -1/10*v**5 + 1/12*v**4 - 1/105*v**7 - 2*v**2 + 0*v**g + 0 + 1/20*v**6 + 0*v. Factor o(y).
-2*y*(y - 1)**3
Let z(h) be the third derivative of h**7/105 + h**6/30 - h**4/6 - h**3/3 - 9*h**2. Solve z(o) = 0.
-1, 1
Suppose -1882*j + 15 = -1879*j. Factor 0*k**4 + 0 - 2/5*k**3 + 0*k + 2/5*k**j + 0*k**2.
2*k**3*(k - 1)*(k + 1)/5
Suppose -2*y - 2*y = 36. Let v(m) = -m**3 - 10*m**2 - 9*m + 3. Let z be v(y). Let -5/3*u**4 + 0*u**2 + 0*u - 2/3*u**z + 0 = 0. Calculate u.
-2/5, 0
Let d(f) be the second derivative of 3/10*f**5 + 1/15*f**6 - 2*f + 1/2*f**4 + 0 + 0*f**2 + 1/3*f**3. Determine s so that d(s) = 0.
-1, 0
Let p(w) = w**2. Let v be (8/(-6))/(2/(-6)). Let q = 5 - 4. Let s(d) = -3*d**2 - 1. Let i(j) = q*s(j) + v*p(j). Factor i(y).
(y - 1)*(y + 1)
Let q = -736 - -1475/2. Suppose 3/2*p**4 + 1/2*p**5 + 0 - q*p**2 - p + 1/2*p**3 = 0. What is p?
-2, -1, 0, 1
Let b(c) be the third derivative of c**5/720 - c**4/16 + 21*c**2. Let b(x) = 0. What is x?
0, 18
Let a(x) be the first derivative of 1 + 2/9*x - 1/9*x**2 - 2/27*x**3 + 1/18*x**4. Suppose a(j) = 0. What is j?
-1, 1
Factor -5*o - 5/3*o**2 - 10/3.
-5*(o + 1)*(o + 2)/3
Let y(k) be the second derivative of k**9/45360 - k**8/5040 + k**7/1890 - k**4/4 + 3*k. Let f(g) be the third derivative of y(g). Factor f(c).
c**2*(c - 2)**2/3
Let b(p) = 4*p**2 - 2*p + 1. Let n be b(1). Suppose 0 = -n*c + 7*c - 20. What is q in -1/3*q**c + 0*q**2 + 0*q + 2/3*q**4 + 0 - 1/3*q**3 = 0?
0, 1
Suppose 0 + 2/7*h**3 - 8/7*h + 0*h**2 = 0. Calculate h.
-2, 0, 2
Let k(l) = 5*l - 4. Let i be k(3). Let y(j) = -j**2 + 12*j - 11. Let h be y(i). Let 0*x + 0 - 2*x**5 + h*x**2 + 2/3*x**3 - 4/3*x**4 = 0. What is x?
-1, 0, 1/3
Let q be -2*2/(16*8). Let k = 61/96 - q. Factor 0 - k*f**2 - 2/3*f**3 + 2/3*f + 2/3*f**4.
2*f*(f - 1)**2*(f + 1)/3
Factor 0 + 2/5*f**2 - 8/5*f.
2*f*(f - 4)/5
Suppose 4*f - 6 = 2. Factor 3/7*p**3 + 0 + 0*p**f - 3/7*p.
3*p*(p - 1)*(p + 1)/7
Let j = 9 - 7. Factor -7*t**2 - 6*t**3 + 0*t**3 + t**3 - j*t.
-t*(t + 1)*(5*t + 2)
Let v(m) be the third derivative of -m**10/378000 - m**9/151200 - m**5/30 + 4*m**2. Let l(o) be the third derivative of v(o). What is f in l(f) = 0?
-1, 0
Let h be (-11)/(-3) - 21/(17 + -10). Determine z so that 4/3 - 2/3*z**2 + h*z = 0.
-1, 2
Let g be (-4780)/(-25) - (0 - -2). Let a = 190 - g. Factor -12/5*c**2 - a*c - 6/5*c**4 - 13/5*c**3 + 0 - 1/5*c**5.
-c*(c + 1)**2*(c + 2)**2/5
Let n be (0 - 994/(-357)) + (-2)/17. Solve 0 - 2/3*w**2 + n*w**3 - 4/9*w - 14/9*w**4 = 0 for w.
-2/7, 0, 1
Factor 5*n + 20 + 4*n**2 + 0 - 4 + 15*n.
4*(n + 1)*(n + 4)
Let 0*k**2 - 2*k - 4/3 + 2/3*k**3 = 0. What is k?
-1, 2
Let d(m) = 2*m**2 - 4*m - 19. Let t(y) = -2*y**2 + 4*y + 18. Let x(n) = -2*d(n) - 3*t(n). Solve x(r) = 0 for r.
-2, 4
Let t(f) be the first derivative of -2/3*f**3 + 8 + 5/18*f**4 + 4/9*f - 5/9*f**2 + 14/45*f**5. Let t(i) = 0. Calculate i.
-1, 2/7, 1
Suppose 18 = -f + 3*f. Suppose 4*b - f*b = 0. Let -40/7*h**5 + b + 0*h - 30/7*h**3 + 66/7*h**4 + 4/7*h**2 = 0. Calculate h.
0, 1/4, 2/5, 1
Let l(x) = -x**3 - 5*x**2 - 13*x. Let y(o) = -5*o**3 - 19*o**2 - 53*o. Let k(u) = 26*l(u) - 6*y(u). Find h, given that k(h) = 0.
-1, 0, 5
Let z(u) be the first derivative of 3/5*u**2 + 2 - 1/15*u**3 - 9/5*u. Find w, given that z(w) = 0.
3
Let o be (10/6)/((-11)/(-33)). Suppose -o*i + 2*m - 5*m + 21 = 0, -4*i - 2*m = -16. What is r in 0*r - 4/5*r**2 + 2/5*r**4 + 0*r**i + 2/5 = 0?
-1, 1
Let m = -13 - -22. Determine a so that -6*a - 2*a - 1 - a - m*a**2 - 1 = 0.
-2/3, -1/3
Let -2/11*i**4 - 18/11*i**2 - 14/11*i - 10/11*i**3 - 4/11 = 0. What is i?
-2, -1
Let 4 + 3*s - 1 - 3*s**2 - 3*s = 0. Calculate s.
-1, 1
Let z(q) be the second derivative of q**4/12 + q**3/6 - q**2 - q - 19. Factor z(w).
(w - 1)*(w + 2)
Let g(j) = 11*j**2 + 47*j - 48. Let o(x) = 5*x**2 + 23*x - 24. Let h(f) = -2*g(f) + 5*o(f). Factor h(t).
3*(t - 1)*(t + 8)
Let h(b) be the third derivative of b**5/15 - b**4 + 6*b**3 + 15*b**2. Factor h(d).
4*(d - 3)**2
Let a = -9 - -14. Suppose 4*w - 1 - 21 = -2*i, a*w - 35 = -4*i. Suppose 1/4*b**2 + 1/4*b - 1/4*b**w - 1/4 = 0. Calculate b.
-1, 1
Let a(p) be the second derivative of -p**4/6 - p**3 + 17*p. Let a(r) = 0. What is r?
-3, 0
Suppose 3*a - a - 16 = 0. Let k be (-6)/(-4) + 4/a. Factor -1/2*f + 0 - 1/4*f**k.
-f*(f + 2)/4
Let z(o) be the third derivative of 3*o**7/35 + 13*o**6/20 + 29*o**5/15 + 3*o**4 + 8*o**3/3 - 4*o**2. Let z(v) = 0. What is v?
-2, -1, -2/3
Suppose -7*l + 3*l + 12 = 0. Let n = 2 + l. Find d, given that -n*d**5 + 3*d**5 + 2*d**3 + 2*d**4 - 4*d**4 + 5*d**2 - 3*d**2 = 0.
-1, 0, 1
Let v(z) = -5*z**5 - 9*z**4 + z**3 + 9*z**2 + 4*z - 7. Let j(l) = -2*l**5 - 4*l**4 + 4*l**2 + 2*l - 3. Let d(y) = -14*j(y) + 6*v(y). Solve d(n) = 0 for n.
-1, 0, 1, 2
Let c(x) = x**3 - 8*x**2 + x - 4. Let n be c(8). Let w be (-5)/20 + 13/n. Factor 4/9*d**w - 4/9*d - 2/9 + 2/9*d**4 + 0*d**2.
2*(d - 1)*(d + 1)**3/9
Let m(y) be the first derivative of -5*y**3/3 + 5*y**2/2 - 3*y + 2. Let t(v) = 6*v**2 - 4*v + 2. Let k(s) = -4*m(s) - 3*t(s). Factor k(j).
2*(j - 3)*(j - 1)
Let h(g) = 3*g**5 - g**4 + 2*g**3 - 9*g**2. Let z(f) = f**5 + f**3 - 4*f**2. Let x(t) = 2*h(t) - 5*z(t). Factor x(q).
q**2*(q - 2)*(q - 1)*(q + 1)
Let x = 14 + -12. Let t(l) be the second derivative of 0 + 2*l - 1/6*l**4 + 0*l**x - 1/6*l**3 - 1/20*l**5. Factor t(c).
-c*(c + 1)**2
Let -1/3*s**2 + 1/6 - 1/3*s**5 - 1/3*s + 1/6*s**4 + 2/3*s**3 = 0. Calculate s.
-1, 1/2, 1
Let c(a) be the first derivative of a + 3. Let h(k) = -2*k**2 + 3*k - 1. Let v(p) = 3*c(p) + h(p). Determine l, given that v(l) = 0.
-1/2, 2
Suppose -3*n + t + 19 = 0, n - t = -4*n + 33.