7/21 - 2*s**6/15 - s**5/10 + 3*s - 4. Let y(d) be the first derivative of j(d). Let y(b) = 0. Calculate b.
-1, 0
Let i be (16/(-12))/(-4)*15. Let v(r) be the third derivative of 0*r + 0*r**3 - 1/300*r**i + 0 - r**2 + 1/120*r**4. Factor v(j).
-j*(j - 1)/5
Suppose 0 = -0*g + 9*g - 17*g. Determine h, given that g - 2/3*h + 2/3*h**2 = 0.
0, 1
Let a(j) = j**3 - 14*j**2 + 4*j. Let f(w) = -15*w**2 + 5*w. Let u(d) = -5*a(d) + 4*f(d). Factor u(l).
-5*l**2*(l - 2)
Suppose -w - 10 = -4*a, a - 5*w - 13 = -10*w. Suppose -a = -3*z + 6. Factor -3*h**2 + z + h**2 - 3*h**3 + h - 3.
-h*(h + 1)*(3*h - 1)
Let u be (-1 + -23)*1/(-3). Factor -8*r**2 + 24*r**3 + 16*r**5 - 12*r**4 - 14*r**5 - u*r**2.
2*r**2*(r - 2)**3
Let t = -219/10 + 22. Let m(q) be the second derivative of 0*q**2 - 1/15*q**3 + 1/50*q**5 + 0 + 3*q - 1/25*q**6 + t*q**4. Let m(g) = 0. What is g?
-1, 0, 1/3, 1
Let n = -2/3 - -5/12. Let d = 3/4 + n. Factor -d*v**2 - v - 1/2.
-(v + 1)**2/2
Let p(w) be the first derivative of w**6/18 + 3*w**5/5 + 9*w**4/4 + 23*w**3/9 - 4*w**2 - 12*w + 11. Determine q so that p(q) = 0.
-3, -2, 1
Let y(i) = -2*i**3 + 18*i**2 + 10*i + 14. Let x(o) = o**3 - 6*o**2 - 3*o - 5. Let w(c) = 8*x(c) + 3*y(c). Suppose w(a) = 0. What is a?
-1
Suppose 2 + 1 = x. Let a = -10 - -12. Find s such that -1/4*s**5 - 1/2*s**a + 3/4*s**4 + 3/4*s - 1/4 - 1/2*s**x = 0.
-1, 1
Let 9/2 + 3/2*c**2 + 6*c = 0. What is c?
-3, -1
Factor 0 - 1/2*a**2 + 3/2*a.
-a*(a - 3)/2
Let z = -1241/18 - -69. Let v(l) be the third derivative of 0 + 1/36*l**4 + 0*l + z*l**3 + 1/180*l**5 + 4*l**2. Factor v(m).
(m + 1)**2/3
Let l(z) = -4*z - 3. Let v be l(-2). Let k(y) = 9*y - 1. Let c be k(v). Determine u so that 40*u**4 + 3*u - 3*u**3 + 4 - c*u**2 + 6*u - 3*u - 3*u**3 = 0.
-1, -1/4, 2/5, 1
Let m be 14/(-42)*12/(-22). Factor 0 - m*j - 2/11*j**2.
-2*j*(j + 1)/11
Let y(h) be the second derivative of 5*h - 1/54*h**4 + 0*h**5 + 1/135*h**6 + 0*h**2 + 0*h**3 + 0. Factor y(q).
2*q**2*(q - 1)*(q + 1)/9
Let l(w) be the first derivative of -2*w**6/15 - 4*w**5/5 - 5*w**4/3 - 4*w**3/3 - 2*w - 1. Let p(m) be the first derivative of l(m). What is d in p(d) = 0?
-2, -1, 0
Suppose -m = 2*z + 2, -z - 38 = -4*m - 10. Suppose -m = -f - 1, -h - 4*f + 20 = 0. Factor 6/7*s**2 + 6/7*s**3 + 2/7*s**4 + 2/7*s + h.
2*s*(s + 1)**3/7
Let o(v) be the second derivative of v**4/30 - 4*v**3/15 + 4*v**2/5 - 11*v. Factor o(i).
2*(i - 2)**2/5
Let v(j) be the third derivative of -1/30*j**6 + 0*j**3 + 0*j**4 + 0*j + 9*j**2 + 0 - 2/15*j**5. Solve v(l) = 0 for l.
-2, 0
Let u = -20 + 40. Suppose 5*d + 0*d = u. Factor -2/3*i**2 + 0 - 2/3*i - 2*i**d + 10/3*i**3.
-2*i*(i - 1)**2*(3*i + 1)/3
Let u(m) be the second derivative of -m**9/4536 + m**7/1260 - 2*m**3/3 - 5*m. Let a(t) be the second derivative of u(t). Find r such that a(r) = 0.
-1, 0, 1
Let m(b) = 4121*b**4 - 784*b**3 - 1344*b**2 + 576*b - 69. Let r(t) = 6182*t**4 - 1176*t**3 - 2016*t**2 + 864*t - 104. Let u(g) = -8*m(g) + 5*r(g). Factor u(l).
-2*(3*l + 2)*(7*l - 2)**3
Let d(j) = 2*j**2 - 4*j + 10. Let r(b) = -3*b**2 + 4*b - 11. Let w(x) = -5*d(x) - 4*r(x). Factor w(v).
2*(v - 1)*(v + 3)
Let k = 22 + -12. Let t be k/(-4)*112/(-105). Solve -2*o**4 - 4/3*o**3 - 2/3 + t*o**2 + 4/3*o = 0 for o.
-1, 1/3, 1
Let c(b) be the first derivative of 0*b**3 - 2/5*b**2 + 3 + 1/5*b**4 + 2/5*b - 2/25*b**5. Factor c(v).
-2*(v - 1)**3*(v + 1)/5
Factor -250 + 250 - 4*l**2.
-4*l**2
Let i = -11 - -15. Let f(c) be the third derivative of -2*c**2 + 1/420*c**6 + 0*c**3 + 0*c + 1/210*c**5 - 1/42*c**i + 0. Let f(l) = 0. Calculate l.
-2, 0, 1
Let d be (-3)/2 + 13/2. Let u = 16 + -15. Let -3 - d - u + 6*y - y**2 = 0. What is y?
3
Let i = -19 - -19. Suppose 8*g - 2*g = i. Find w, given that g - 2/11*w + 2/11*w**2 = 0.
0, 1
Solve -110/9*f**3 - 26/3*f**4 + 8/9*f - 50/9*f**2 + 8/9 - 2*f**5 = 0 for f.
-2, -1, -2/3, 1/3
Determine s so that -35*s - 98 + 11*s**2 + 7*s - 5*s**2 - 8*s**2 = 0.
-7
Let h(y) be the second derivative of -y**6/10 + 3*y**5/20 + y**4/4 - y**3/2 + 5*y. Determine x so that h(x) = 0.
-1, 0, 1
Let y(z) be the third derivative of 5*z**8/168 - 8*z**7/105 - z**6/15 + 12*z**2. Let y(x) = 0. What is x?
-2/5, 0, 2
Factor 6*a - 5*a - a**3 + a**4 - 2*a**2 + a**2.
a*(a - 1)**2*(a + 1)
Let l(q) = -q**2 - 2*q. Let d(n) = -2*n**2 - 4*n. Let r(a) = -6*d(a) + 11*l(a). What is y in r(y) = 0?
-2, 0
Let c(n) = -3*n - 42. Let g be c(-15). Let 4/3 - 8*b - 25/3*b**g + 15*b**2 = 0. Calculate b.
2/5, 1
Let i(w) be the third derivative of w**10/100800 + w**9/40320 + w**5/20 + 7*w**2. Let l(h) be the third derivative of i(h). Factor l(c).
3*c**3*(c + 1)/2
Let -3/2*m**3 + 15/4*m**5 + 0*m**2 + 0*m + 27/4*m**4 + 0 = 0. Calculate m.
-2, 0, 1/5
Let n(s) be the third derivative of -1/32*s**4 + 0 + 0*s + 1/240*s**5 + 1/12*s**3 + 3*s**2. Determine k, given that n(k) = 0.
1, 2
Let y(m) be the first derivative of 7*m**6/480 + m**5/80 + m**3 + 3. Let u(t) be the third derivative of y(t). Solve u(w) = 0.
-2/7, 0
Let b(k) = k + 15. Let r be b(-13). Let n(g) be the third derivative of 0 + 1/12*g**4 + 0*g - 1/6*g**3 + 2*g**r - 1/60*g**5. Factor n(i).
-(i - 1)**2
Let n(c) be the second derivative of 0*c**6 + 0*c**2 + c - 3/20*c**5 + 0*c**4 + 0*c**3 + 1/14*c**7 + 0. What is l in n(l) = 0?
-1, 0, 1
Let s be 2/(-5) + 18/45. Let r(y) be the second derivative of s + 1/100*y**5 + 0*y**2 + y - 1/20*y**4 + 1/15*y**3. Solve r(v) = 0.
0, 1, 2
Suppose 2*h = -h + 6. Let n be (1 + -1)*1/h. Factor -4*x**5 + x**3 + 3*x**5 + n*x**3.
-x**3*(x - 1)*(x + 1)
Suppose 5/2*m**3 + 15/4*m**2 - 5 - 5/4*m**4 - 5*m = 0. What is m?
-1, 2
Let b = -1 - -8. Let -2 + 3*u**4 - 10*u + 6*u**3 + 3*u**2 + b*u + u**3 = 0. What is u?
-1, 2/3
Let s be 18/15*(-20)/(-6). Let q(x) be the first derivative of 0*x**2 + 0*x + 0*x**3 - 1/10*x**5 + 1/8*x**s - 1. Let q(b) = 0. Calculate b.
0, 1
Let w be (9/27)/((-2)/(-78)). Solve 4*b**4 + 3*b**3 - 2*b**3 + 7*b**4 + b**5 - w*b**4 = 0.
0, 1
Let k(c) = -6*c**5 + 57*c**4 - 36*c**3 - 15*c**2 + 15*c + 15. Let x(g) = g**5 - 8*g**4 + 5*g**3 + 2*g**2 - 2*g - 2. Let q(t) = 2*k(t) + 15*x(t). Factor q(z).
3*z**3*(z - 1)**2
Let d(y) be the third derivative of -y**7/630 + y**5/60 - y**4/36 - 13*y**2. Factor d(m).
-m*(m - 1)**2*(m + 2)/3
Let d(u) be the third derivative of -u**7/2100 - u**6/300 + u**4/15 - 5*u**3/6 + 6*u**2. Let l(r) be the first derivative of d(r). Factor l(t).
-2*(t - 1)*(t + 2)**2/5
Let h = 656 - 654. Find y, given that -3/2 + 1/2*y**h - y = 0.
-1, 3
Determine r, given that 0*r + 0 + 5/2*r**2 - 5/4*r**3 = 0.
0, 2
Let x be 20/18 + (-2)/3. Let l(d) be the first derivative of -2/27*d**3 - 2 - 1/3*d**2 - x*d. Solve l(t) = 0 for t.
-2, -1
Factor -1/4*k**2 - 9 + 3*k.
-(k - 6)**2/4
What is a in -8/5*a**3 + 2/5*a**4 + 12/5*a**2 + 2/5 - 8/5*a = 0?
1
Let c(p) = p**3 + 11*p**2 - 3*p - 9. Let z(x) = -12*x**3 - 144*x**2 + 39*x + 117. Let a(i) = 27*c(i) + 2*z(i). Suppose a(q) = 0. What is q?
-3, -1, 1
Let h(y) = -4*y**2 + y - 2. Let f(r) = -3*r**2 + r - 2. Let c(m) = 5*f(m) - 4*h(m). Find p, given that c(p) = 0.
-2, 1
Let b(l) be the third derivative of -l**6/480 - l**5/80 + 3*l**4/32 + 9*l**3/8 - 10*l**2. Solve b(o) = 0.
-3, 3
Let g(d) = d**3 + 6*d**2 - d + 1. Let s be g(-7). Let r = -161/4 - s. Find h, given that r*h**4 - 3/4*h**2 - 1/4*h**3 + 0 + 1/2*h - 1/4*h**5 = 0.
-1, 0, 1, 2
Let q(z) be the second derivative of -z**7/105 + z**5/15 - z**3/3 - 3*z**2 + z. Let a(j) be the first derivative of q(j). Factor a(b).
-2*(b - 1)**2*(b + 1)**2
Let o(v) be the third derivative of v**8/3360 - v**7/315 + v**6/90 + v**4/4 - 2*v**2. Let b(d) be the second derivative of o(d). Factor b(w).
2*w*(w - 2)**2
Suppose -4*t + 46 - 46 = 0. Let 0 + 2/7*g**3 + t*g**2 + 0*g - 2/7*g**4 = 0. Calculate g.
0, 1
Let d(m) be the first derivative of -m**4/18 + 2*m**3/27 + m**2/9 - 2*m/9 - 2. Determine k so that d(k) = 0.
-1, 1
Let t(p) be the third derivative of -2*p**7/105 + p**6/30 + 4*p**5/15 - 2*p**4/3 - 34*p**2. Factor t(j).
-4*j*(j - 2)*(j - 1)*(j + 2)
Let 0 + 0*z + 1/3*z**2 - 1/3*z**3 = 0. What is z?
0, 1
Let y(k) = -k**3 - k**2 + k + 3. Let u be y(0). Let -c**3 + 19*c + 0*c**u + c**2 - 19*c = 0. What is c?
0, 1
Let b(x) = -3*x**2 + 6*x + 6. Let q(l) = -6*l**2 + 13*l + 13. Let w(s) = 13*b(s) - 6*q(s). Factor w(m).
-3*m**2
Let c be (-7)/(-4)*(-12)/(-42). Find v such that 3/2*v**2 + c + 1