e the first derivative of -i**6/3 - 2*i**5/5 + i**4/2 + 2*i**3/3 - 66. Let q(u) = 0. What is u?
-1, 0, 1
Let 145*k**2 + 2*k - 3*k - 143*k**2 = 0. Calculate k.
0, 1/2
Let u(z) = -1. Let f(r) = 50*r**4 - 90*r**3 + 48*r**2 - 8*r + 5. Let q(j) = f(j) + 5*u(j). Solve q(p) = 0.
0, 2/5, 1
Determine h so that -7/6*h + h**2 + 1/6 = 0.
1/6, 1
Let q(w) be the second derivative of w**5/80 + w**4/12 + w**3/8 + 56*w. Factor q(i).
i*(i + 1)*(i + 3)/4
Let s(q) = -3*q**3 - q. Let x(g) = -19*g**3 - 7*g. Let v(t) = 39*s(t) - 6*x(t). Suppose v(r) = 0. What is r?
-1, 0, 1
Let a(m) be the second derivative of m**5/10 - m**4/6 - 2*m**3/3 + 17*m. Let a(v) = 0. What is v?
-1, 0, 2
Let i(f) be the third derivative of -f**7/70 - f**6/24 - f**5/40 + 5*f**3/6 + 4*f**2. Let b(c) be the first derivative of i(c). Solve b(g) = 0 for g.
-1, -1/4, 0
Let v(i) be the second derivative of i**4/12 + 8*i**3/3 + 32*i**2 - 29*i. Factor v(s).
(s + 8)**2
Let y be (-5 - -3)/(2/(-4)). Let d be (-1)/y + 1/4. Solve 0*x + 2/5*x**2 + d = 0.
0
Suppose 5*w - 2*n = -4 + 6, -5*n = w - 22. Factor -2/11*h**4 - 6/11*h**w - 6/11*h**3 + 0 - 2/11*h.
-2*h*(h + 1)**3/11
Factor -8/13*v + 8/13 + 2/13*v**2.
2*(v - 2)**2/13
Suppose y - 2 = -s, 0 = 5*s - 0*s - y + 2. Let n(k) be the first derivative of 4 + 3/10*k**2 + 3/20*k**4 - 2/5*k**3 + s*k. Find g such that n(g) = 0.
0, 1
Let o = 189 + -1321/7. Factor -4/7 - 2/7*s + o*s**2.
2*(s - 2)*(s + 1)/7
Let g(d) be the third derivative of -3*d**8/560 + d**7/35 - 3*d**6/50 + 3*d**5/50 - d**4/40 - 6*d**2. Factor g(b).
-3*b*(b - 1)**3*(3*b - 1)/5
Let c(f) = -5*f**3 + f. Let r(v) = -v**3 + 3*v - 2*v**3 - v - 6*v**3. Let o(n) = -7*c(n) + 4*r(n). Find a, given that o(a) = 0.
-1, 0, 1
Let o(n) be the third derivative of n**5/450 + n**4/9 + 20*n**3/9 - 6*n**2 - 1. Factor o(z).
2*(z + 10)**2/15
Suppose -18*b + 6 = -17*b. Let t be (b/(-20))/(14/(-35)). Factor 0*x + 1/2*x**2 + 1/4*x**4 + t*x**3 + 0.
x**2*(x + 1)*(x + 2)/4
Let x(t) = t + 7. Let n be x(-3). Let f = n - 1. Factor -2*a**4 + a**5 - 28 - 4*a**f + 28 + 41*a**5.
2*a**3*(3*a - 1)*(7*a + 2)
Suppose -4 = 5*y + 1, -p + 5 = -y. Let o(a) be the third derivative of -1/20*a**6 + 0 + 0*a - a**2 + 0*a**3 + 1/12*a**p - 1/15*a**5. Factor o(s).
-2*s*(s + 1)*(3*s - 1)
Let o(i) = 3*i**2 - 53*i + 43. Let u(r) = -2*r**2 + 27*r - 22. Let z(t) = -3*o(t) - 7*u(t). Factor z(l).
5*(l - 5)*(l - 1)
Let t(u) be the third derivative of u**5/80 + 3*u**4/32 - u**3/2 - 15*u**2. Solve t(p) = 0 for p.
-4, 1
Let b(l) = -3*l**2 + 3*l + 11. Let x be b(5). Let a be 42/x*(-14)/8. Suppose -a*t - 1 - 1/2*t**2 = 0. What is t?
-2, -1
Let f(d) be the second derivative of d**5/5 - d**4 - 2*d**3/3 + 6*d**2 + 5*d. Find t, given that f(t) = 0.
-1, 1, 3
Let u(d) = d**2 - 2*d + 2. Let n(g) = 6*g**2 - 10*g + 13. Let j(w) = -6*w**2 + 9*w - 13. Let y(x) = 3*j(x) + 4*n(x). Let a(c) = 39*u(c) - 6*y(c). Factor a(t).
3*t**2
Suppose 3*x = -4*n + 27, -3*n = 2*x - 7*x + 16. Factor -1/3*p**n - p**2 - 1/3 - p.
-(p + 1)**3/3
Let v(n) be the second derivative of n**6/360 - n**5/60 + n**4/24 + n**3 - 5*n. Let y(c) be the second derivative of v(c). Factor y(z).
(z - 1)**2
Let x(g) be the second derivative of -3*g**4/26 - 14*g**3/13 - 49*g**2/13 - g + 2. Factor x(r).
-2*(3*r + 7)**2/13
Let r(t) be the second derivative of -t**4/6 - 4*t**3/3 - 4*t**2 + 5*t - 5. Factor r(d).
-2*(d + 2)**2
Let q(r) be the first derivative of 2 + 1/12*r**4 - 1/3*r + 1/9*r**3 - 1/6*r**2. Suppose q(g) = 0. What is g?
-1, 1
Let j(f) be the second derivative of -f**9/5040 + 3*f**8/2240 - f**6/60 - f**4/4 - 2*f. Let q(r) be the third derivative of j(r). Solve q(i) = 0.
-1, 0, 2
Let w(j) = -6*j**2 - 13*j - 1. Let d(x) = -12*x**2 - 25*x - 3. Let f(c) = 3*d(c) - 5*w(c). Determine u, given that f(u) = 0.
-1, -2/3
Suppose -3*t + 19 = -4*l, 4 = 2*t + 3*l - 3. Find j such that 14*j**4 + 0 + 8/3*j**2 + 98/3*j**t + 0*j - 16*j**3 = 0.
-1, 0, 2/7
Let g be 4 - 5 - (-3)/(15/7). Factor 0 + 2/5*u + g*u**2.
2*u*(u + 1)/5
Let t(d) be the third derivative of d**7/420 + d**6/270 + d**3 - d**2. Let v(p) be the first derivative of t(p). Determine y, given that v(y) = 0.
-2/3, 0
What is r in -2*r**2 - 4*r**3 - 2*r**3 - 3*r**4 - 2*r**2 + r**4 = 0?
-2, -1, 0
Solve 0 + 1/4*y**2 + 11/4*y = 0.
-11, 0
Let j be 9/15 - (-108)/45. Let -2/11*c**j + 0 + 2/11*c + 0*c**2 = 0. Calculate c.
-1, 0, 1
Let b(q) = -q**3 + 2*q**2 - 1. Let c(o) = 2*o**3 + 15*o**2 - 120*o + 103. Let j(a) = 3*b(a) + c(a). Solve j(i) = 0 for i.
1, 10
Let u(n) be the first derivative of n**8/10080 - n**6/1080 + n**4/144 + 7*n**3/3 - 4. Let j(g) be the third derivative of u(g). Let j(o) = 0. Calculate o.
-1, 1
Let j(t) be the first derivative of 4*t**2 + 2/5*t**5 + 5 + 4*t**3 - 16*t - 5/2*t**4. Let j(f) = 0. What is f?
-1, 2
Let a(f) be the third derivative of -f**6/60 - f**5/3 - 3*f**4/4 - 19*f**2. Find w such that a(w) = 0.
-9, -1, 0
Let w = -167/10 + 17. Let o(r) be the first derivative of -2/3*r**3 + 1/15*r**6 + 2/25*r**5 - 2/5*r**2 + 0*r + 3 - w*r**4. Factor o(s).
2*s*(s - 2)*(s + 1)**3/5
Let y(t) be the second derivative of -1/40*t**5 + 0*t**2 + 0 + 1/8*t**4 - 2*t - 1/6*t**3. Let y(j) = 0. Calculate j.
0, 1, 2
Factor 1/5*o**2 + 0*o**3 + 0*o - 1/5*o**4 + 0.
-o**2*(o - 1)*(o + 1)/5
Let z(c) be the first derivative of 0*c**2 + 0*c + 0*c**3 - 6 - 3/20*c**5 + 3/16*c**4. Factor z(t).
-3*t**3*(t - 1)/4
Let z(f) = -f**3 + 3*f**2 - 2*f + 3. Let p be z(2). What is t in 5 - t**4 - 3*t**2 - 4*t + 3*t**3 + t**p - 1 = 0?
-1, 1, 2
Let a(r) be the second derivative of 3*r + 0 + 1/6*r**4 - 4/15*r**5 + 0*r**2 - 1/27*r**3 + 16/135*r**6. Factor a(j).
2*j*(j - 1)*(4*j - 1)**2/9
Let q be (10/(-35))/(2/(-14)). Let c(z) be the first derivative of -2 + 0*z + 0*z**q + 1/6*z**3 + 1/4*z**4 + 1/10*z**5. What is l in c(l) = 0?
-1, 0
Factor 4*n - 2*n - 5*n**3 + 6*n - 3*n.
-5*n*(n - 1)*(n + 1)
Suppose -2/19*a**4 + 2/19*a + 6/19*a**3 + 0 - 6/19*a**2 = 0. What is a?
0, 1
Let a(x) be the second derivative of -1/30*x**6 - 1/12*x**4 + 0*x**3 + 0*x**2 - 5*x + 0 - 1/10*x**5. Determine z so that a(z) = 0.
-1, 0
Solve 33*t**2 - 31*t**2 - 2*t**4 + 7*t + 4*t**3 - 11*t = 0 for t.
-1, 0, 1, 2
Factor 2/3*x**3 - 2/3*x - 7/3*x**2 + 7/3*x**4 + 0.
x*(x - 1)*(x + 1)*(7*x + 2)/3
Let w(c) be the first derivative of c**6/33 + 16*c**5/55 + 25*c**4/22 + 76*c**3/33 + 28*c**2/11 + 16*c/11 + 6. Factor w(z).
2*(z + 1)**2*(z + 2)**3/11
Let s be ((-6)/(-4))/((-7)/(-888)). Let z = -190 + s. Factor 2/7*b**2 - z*b - 4/7.
2*(b - 2)*(b + 1)/7
Let r be (-12)/18 - 22/(-24). Let k = -1 + 4. Factor 0 + h**2 - 1/4*h**k - h**4 + r*h.
-h*(h - 1)*(h + 1)*(4*h + 1)/4
Let g(z) be the first derivative of 2*z**5/5 + 11*z**3/3 + 5*z**2/2 - 3*z - 3. Let s(h) = -h**4 - h**2 - h. Let b(q) = g(q) + 5*s(q). Factor b(r).
-3*(r - 1)**2*(r + 1)**2
Let u(o) = -6*o - 30. Let a be u(-5). Let l(n) be the first derivative of -1/6*n**3 + a*n + 1/8*n**4 + 2 + 0*n**2. Factor l(m).
m**2*(m - 1)/2
Let b(g) be the second derivative of g**5/4 + 5*g**4/6 - 10*g**3/3 - 20*g**2 - 4*g. Factor b(r).
5*(r - 2)*(r + 2)**2
Suppose -3*w = -5*w + 10. Let u be 4/w - 132/240. Find l such that u*l**3 + 1/2*l**2 - 1/2 - 1/4*l = 0.
-2, -1, 1
Let v = -63 + 319/5. Factor -1/5*c**4 - 6/5*c**2 - v*c**3 - 1/5 - 4/5*c.
-(c + 1)**4/5
Find x such that -8 - 2*x**2 - 6*x**2 + 8 - 4*x**3 = 0.
-2, 0
Let w(t) be the third derivative of -t**8/2856 - t**7/595 - t**6/340 - t**5/510 - 4*t**2. Let w(y) = 0. Calculate y.
-1, 0
Let t(k) be the third derivative of -k**6/180 - k**5/45 + k**4/36 + 2*k**3/9 - 4*k**2. Find q, given that t(q) = 0.
-2, -1, 1
Let i = 965/1461 - -3/487. What is a in -16/3*a - 32/3 - i*a**2 = 0?
-4
Suppose -5*k + 89 + 86 = 0. Let f be (-4)/7*k/(-50). Factor -6/5*p**2 - f*p**3 - 2/5 - 6/5*p.
-2*(p + 1)**3/5
Let s(f) be the second derivative of -1/90*f**6 + 1/30*f**5 - 1/9*f**3 + 1/6*f**2 - f + 0*f**4 + 0. Let s(k) = 0. What is k?
-1, 1
Let y(c) be the third derivative of -c**8/504 + c**6/90 - c**4/36 - 10*c**2. Find m, given that y(m) = 0.
-1, 0, 1
Suppose d = -3*x - 4, 3*d + 0*x - 3*x = 12. Determine i, given that 1/4*i**3 + 3/4*i - 1/4 - 3/4*i**d = 0.
1
Let u(k) be the second derivative of 1/6*k**4 + 4*k**2 - 2*k + 4/3*k**3 + 0. Let u(r) = 0. Calculate r.
-2
Suppose 0 = 2*x + 3*u + 2, 4 = x - 2*u - 2. Suppose 2*q - 9 = -x*b + q, -5*b - q + 15 = 0. Factor b + 1/2*c*