*6/27 - 2*t**5/15 + 13*t**4/18 + 2*t**3/27 - t**2 + 4*t/9 - 3. What is r in b(r) = 0?
-2, -1, 1/4, 1
Let d(r) be the third derivative of -r**2 + 0 + 0*r + 3/10*r**3 + 1/20*r**4 + 1/300*r**5. Suppose d(p) = 0. Calculate p.
-3
Let j be 1 + 5/(-15) + (-26)/40. Let k(t) be the second derivative of -2*t + 1/12*t**4 - 2/3*t**2 + j*t**5 + 0 + 0*t**3. Determine b, given that k(b) = 0.
-2, 1
Let f = -20 + 29. Suppose -w - 1 = 3, -8 = x + 4*w. Factor -3*c + 1 - f*c**2 + 4*c**3 - c**3 - 2*c**4 + 2 + x*c**4.
3*(c - 1)*(c + 1)**2*(2*c - 1)
Let d be (4/(40/(-15)))/(-9). What is c in 0 + d*c - 1/6*c**2 = 0?
0, 1
Let k(y) be the second derivative of 0 - 4*y - 2*y**2 + 1/30*y**5 + 1/12*y**4 + 0*y**3. Let i(n) be the first derivative of k(n). Let i(w) = 0. What is w?
-1, 0
Let r(v) = v**3 - v**2 + 2*v - 5. Let o(l) = -3*l**3 + 2*l**2 - 5*l + 14. Let c(g) = 3*o(g) + 8*r(g). Find i, given that c(i) = 0.
-2, -1, 1
Let r be (-3)/(-9) - (-1)/(-21). Find p such that -r*p**2 + 0*p + 0 = 0.
0
Let s = 2 + 0. Find w such that -3*w - 4*w**s + 3*w + w**2 = 0.
0
Let l(m) be the third derivative of -m**8/40320 - m**7/10080 + m**5/15 + 3*m**2. Let d(q) be the third derivative of l(q). Find a such that d(a) = 0.
-1, 0
Let t = -15 - -20. Let g(w) = w - 5. Let a be g(t). Determine d, given that a*d + 0*d**4 + 0 + 1/2*d**5 - 1/2*d**3 + 0*d**2 = 0.
-1, 0, 1
Let g(s) be the first derivative of -2/27*s**3 - 4 - 2/9*s**2 - 2/9*s. Determine q so that g(q) = 0.
-1
Let a be ((-15)/6)/(-5)*6. Let n(p) be the first derivative of -1/5*p**5 + 0*p**a + p + p**2 - 1/2*p**4 + 2. Factor n(w).
-(w - 1)*(w + 1)**3
Let y(n) = 35*n**2 - 55*n - 18. Let b(s) = -12*s**2 + 18*s + 6. Let i(c) = -11*b(c) - 4*y(c). Factor i(f).
-2*(f - 3)*(4*f + 1)
Suppose 6*j + 1 = 25. Let q(f) be the first derivative of 1/15*f**5 - 2 + 0*f + 1/3*f**3 + 1/4*f**j + 1/6*f**2. Suppose q(y) = 0. Calculate y.
-1, 0
Suppose -2*n + 62 = 54. Determine k so that n*k**2 + 40/7*k + 16/7 + 6/7*k**3 = 0.
-2, -2/3
Let u = 0 - -5/2. Let z(h) be the first derivative of -1/6*h**6 + h + 10/3*h**3 - 2 - u*h**2 - 5/2*h**4 + h**5. Determine p, given that z(p) = 0.
1
Let j be 3*(-2 + 1) + 3. Suppose 6 = 3*r - j*r. Factor -16*f**3 - 7*f**4 - 4*f**4 - 2*f**5 + f**4 + 0*f**4 - 8*f**r.
-2*f**2*(f + 1)*(f + 2)**2
Suppose -5*g**3 - 5*g**4 - 4 - 6 - 172*g**2 + 5*g + 187*g**2 = 0. What is g?
-2, -1, 1
Suppose 3*n = -2*n + 15. Determine s so that 4*s**2 - 6*s**n + 2*s - s**3 + 9*s**3 = 0.
-1, 0
Let l(u) = -8*u**4 - 25*u**3 + 17*u**2 + 16*u. Let a(q) = -2*q**4 - 6*q**3 + 4*q**2 + 4*q. Let v be (-6)/(-9) + 75/9. Let x(i) = v*a(i) - 2*l(i). Factor x(p).
-2*p*(p - 1)*(p + 1)*(p + 2)
Let q(f) be the third derivative of 0*f + 0*f**3 - 1/36*f**4 - 7*f**2 + 1/45*f**5 + 0 + 1/60*f**6. Solve q(m) = 0.
-1, 0, 1/3
Let o(q) be the second derivative of -q**6/2 - 51*q**5/20 - 21*q**4/4 - 11*q**3/2 - 3*q**2 - 2*q. Let o(b) = 0. What is b?
-1, -2/5
Solve 0 - 6/11*x**2 + 4/11*x + 2/11*x**3 = 0.
0, 1, 2
Let h(p) be the third derivative of 0 + 0*p - 1/21*p**4 + 0*p**3 - 4*p**2 - 2/105*p**5 - 1/420*p**6. Let h(w) = 0. Calculate w.
-2, 0
Let s(x) = -x**3 - 23*x**2 + 2. Let v be s(-23). Factor 4/3*y + 2 + 2/9*y**v.
2*(y + 3)**2/9
Let l(g) be the second derivative of -2*g**7/105 - 2*g**6/75 + g**5/5 + g**4/15 - 16*g**3/15 + 8*g**2/5 + 11*g. Factor l(o).
-4*(o - 1)**3*(o + 2)**2/5
Let g(w) be the second derivative of -w**6/255 + 3*w**5/170 - w**4/34 + w**3/51 + w. Factor g(l).
-2*l*(l - 1)**3/17
Let d = 9/31 + 17/155. Determine n so that -4/5*n**3 + 0 + 0*n**2 + 0*n**4 + 2/5*n + d*n**5 = 0.
-1, 0, 1
Let f(h) be the first derivative of 15*h**4/16 - h**3/2 - 15*h**2/8 + 3*h/2 - 5. Factor f(j).
3*(j - 1)*(j + 1)*(5*j - 2)/4
Let m(s) be the first derivative of -4*s**3/21 + 16. Let m(k) = 0. What is k?
0
Let h be (4/(-18))/((-7)/21). Factor 0 + 4/3*o**2 + h*o**3 + 2/3*o.
2*o*(o + 1)**2/3
Let h(r) be the third derivative of r**7/420 + r**6/240 - r**5/120 - r**4/48 - 5*r**2. Find p such that h(p) = 0.
-1, 0, 1
Let u(h) be the first derivative of -h**5 + 5*h**3/3 - 9. Factor u(m).
-5*m**2*(m - 1)*(m + 1)
Let f(z) = 5*z**3 + z**2 + 8. Let s(w) = -2*w**3 - 4. Let u(c) = 3*f(c) + 7*s(c). What is i in u(i) = 0?
-2, 1
Let -2*v**3 + 99 - 5*v**4 + 95*v**2 - 19 - 3*v**3 + 140*v - 35*v**2 = 0. Calculate v.
-2, -1, 4
Let t(p) be the third derivative of 0*p**3 + 1/12*p**4 - 1/30*p**5 + 0*p + 0 - 3*p**2. Factor t(s).
-2*s*(s - 1)
Let s(t) be the second derivative of 3*t - 2/15*t**3 + 1/30*t**4 + 1/5*t**2 + 0. Solve s(y) = 0 for y.
1
Suppose 3*v - 130 = -2*v. Determine m, given that 10*m**2 - m + 22*m**3 + 5*m**5 - 2 - v*m**3 + 5*m**4 - 13*m**4 = 0.
-1, -2/5, 1
Let b(q) be the first derivative of -5*q**6/21 - 6*q**5/35 + q**4/7 - 5. Suppose b(l) = 0. Calculate l.
-1, 0, 2/5
Let x(t) = -15*t**3 + 10*t**2 + 21*t - 4. Let g(p) = 45*p**3 - 30*p**2 - 62*p + 13. Let w(q) = 6*g(q) + 17*x(q). Let w(y) = 0. Calculate y.
-1, 2/3, 1
Let -15/4*i**3 + 3/2 + 15/4*i - 3/2*i**2 = 0. Calculate i.
-1, -2/5, 1
Let q(i) be the first derivative of 3*i**5/5 + 33*i**4/4 + 24*i**3 - 54*i**2 + 40. Factor q(v).
3*v*(v - 1)*(v + 6)**2
Let i = -4 - -19/4. Let z(l) be the first derivative of -15/16*l**4 - 4 + 15/8*l**2 - 3/4*l**3 - i*l + 3/5*l**5. Solve z(p) = 0 for p.
-1, 1/4, 1
Solve 0*z + 55*z**2 - 29*z**2 - 29*z**2 + 3*z = 0 for z.
0, 1
Let j(b) be the second derivative of b**6/90 - b**4/12 - b**3/9 + 2*b. Suppose j(r) = 0. What is r?
-1, 0, 2
Suppose -5*w = -0*w + 60. Let x be w - -9 - 11/(-3). Let -1/3 - u + 2/3*u**3 - x*u**2 + 1/3*u**5 + u**4 = 0. What is u?
-1, 1
Let q(t) = t**2 - 1 - t**3 - t - 2*t - t**4 + 3*t + t. Let m(r) = -2*r**4 + 2*r**2 - 3. Let a(o) = 2*m(o) - 6*q(o). Determine d, given that a(d) = 0.
-3, -1, 0, 1
Suppose -4*z - 10 = -42. Let j be 10/25 + z/5. Find y such that 1/2*y**j + 0*y - 1/2 = 0.
-1, 1
Let v = 135 + -3239/24. Let r(y) be the third derivative of 2*y**2 + 0 + v*y**4 - 1/120*y**6 + 0*y**3 + 1/210*y**7 + 0*y - 1/60*y**5. Factor r(t).
t*(t - 1)**2*(t + 1)
Let p(u) be the third derivative of -u**5/240 + u**4/96 + u**3/12 - 8*u**2. Suppose p(l) = 0. What is l?
-1, 2
Let p(q) = -q**4 + q**3 - q**2 - q. Let v(t) = 3 + 3*t - t**3 - 3 + 2*t**2 + 0 + 2*t**4. Let f(w) = -3*p(w) - v(w). Let f(n) = 0. Calculate n.
0, 1
Let g(x) be the second derivative of -169*x**5/20 + 13*x**4/2 - 2*x**3 - 2*x**2 + 3*x. Let p(f) be the first derivative of g(f). Let p(y) = 0. What is y?
2/13
Solve 294*m**4 + 4*m**2 + 2*m - 298*m**4 - m**5 - 4*m**5 + 3*m**5 = 0.
-1, 0, 1
Let c(s) = s**3 + 9*s**2 - 11*s - 8. Let f be c(-10). Let k be f + -2 + (-16)/(-12). Determine g, given that -k + 2*g + 10/3*g**2 = 0.
-1, 2/5
Let c(r) be the second derivative of 0 + 0*r**4 - 1/50*r**5 + 1/5*r**3 - 2/5*r**2 + 2*r. Find t, given that c(t) = 0.
-2, 1
Let b be (1/(-12))/((-26)/(-318)). Let p = -10/13 - b. Suppose 1/4*c**2 - p*c**3 - 1/4 + 1/4*c = 0. What is c?
-1, 1
Let b(q) be the second derivative of q**8/2520 - q**7/630 - q**3/3 + q. Let x(a) be the second derivative of b(a). Suppose x(o) = 0. What is o?
0, 2
Let a be 1 - -2 - (-3)/3. Suppose -a*n = -3 - 9. Determine h, given that -4/5*h**4 + 2/5*h - 2/5*h**5 + 4/5*h**2 + 0 + 0*h**n = 0.
-1, 0, 1
Let a = -556 - -2225/4. Factor 0*p - 1/2*p**4 - a*p**3 + 0*p**2 - 1/4*p**5 + 0.
-p**3*(p + 1)**2/4
Let w(r) be the second derivative of 0*r**2 + 0*r**3 + 0 - 1/60*r**5 + 1/90*r**6 + 0*r**4 + 2*r. Factor w(j).
j**3*(j - 1)/3
Let m be 2040/280 + (-14)/2. What is t in -m*t + 2/7*t**4 - 6/7*t**3 + 6/7*t**2 + 0 = 0?
0, 1
Let k(u) = u**2. Let s be k(1). Factor -12*f**3 + 3 + 3*f**4 - 12*f + 18*f**2 + s - 1.
3*(f - 1)**4
Let -3*v**5 - 9*v**5 - 5*v**4 - v**2 + 2*v**3 - v**4 + 17*v**4 = 0. What is v?
-1/3, 0, 1/4, 1
Let r(w) be the third derivative of -3*w**2 + 0*w**5 - 1/40*w**6 + 0 + 1/8*w**4 + 0*w + 1/4*w**3 - 1/140*w**7. Solve r(t) = 0 for t.
-1, 1
Factor 3*s + 3*s**3 + 6*s**3 + 9*s**2 - 6*s**4 + 9*s**4.
3*s*(s + 1)**3
Let r = -4 + 4. Suppose 4*j - 8 = -4*w, 2*w + r*j = -3*j + 3. Determine m, given that -2*m**2 - w*m**2 + 7*m**2 = 0.
0
Suppose 2/11*d**5 - 8/11*d + 0 - 8/11*d**4 + 8/11*d**2 + 6/11*d**3 = 0. Calculate d.
-1, 0, 1, 2
Solve 2/17*x**4 - 42/17*x**3 + 0 + 294/17*x**2 - 686/17*x = 0.
0, 7
Let x(t) = -t + 4. Let m be x(3). Let f(r) be the first derivative of 1/16*r**4 + 1/2*r + 0*r**