*2 + 7/3*p**f - 3*p**3 + 4/3*p + 0.
p*(p - 2)*(p + 1)*(7*p - 2)/3
Let a(n) be the second derivative of -n**7/420 + n**5/60 + n**3/3 - 2*n. Let u(y) be the second derivative of a(y). Determine i so that u(i) = 0.
-1, 0, 1
Let h(q) be the second derivative of q**7/1260 + q**6/90 + q**5/15 + 2*q**4/9 - 7*q**3/6 - 5*q. Let p(w) be the second derivative of h(w). Factor p(r).
2*(r + 2)**3/3
Let k(j) = -j**2 - 7*j - 5. Let t be k(-5). Let x(y) be the third derivative of 1/3*y**3 + 0 - 1/60*y**t - y**2 - 1/24*y**4 + 0*y. Let x(a) = 0. Calculate a.
-2, 1
Let f(y) be the first derivative of y**4/42 - y**3/21 + 4*y - 4. Let o(w) be the first derivative of f(w). Solve o(s) = 0.
0, 1
Let i = -64 - -66. Factor 0*f - 1/4*f**i + 0.
-f**2/4
Let y(q) = 3*q - 11. Let n be y(5). Let d(u) be the second derivative of 0 + 1/10*u**6 + 3/20*u**5 - 1/4*u**n - 2*u + 0*u**2 - 1/14*u**7 + 0*u**3. Factor d(c).
-3*c**2*(c - 1)**2*(c + 1)
Let y(j) be the third derivative of j**8/80 + 6*j**7/175 - 4*j**6/25 - 3*j**5/50 + 5*j**4/8 - 3*j**3/5 + 3*j**2. Determine s, given that y(s) = 0.
-3, -1, 2/7, 1
Suppose -430 = 2*b + 3*b. Let c = 776/9 + b. Suppose 4/3*i**5 - 20/9*i**3 + 8/9*i + 2/9 + 0*i**2 - c*i**4 = 0. Calculate i.
-1, -1/2, -1/3, 1
Factor -1/4*g - 1/4*g**3 - 1/2*g**2 + 0.
-g*(g + 1)**2/4
Factor -2/7*b + 1/7 + 1/7*b**2.
(b - 1)**2/7
Let i = -171 - -173. Let g(t) be the second derivative of 1/24*t**3 + 3*t - 1/80*t**5 - 1/24*t**4 + 1/60*t**6 + 0*t**i + 0. Find d such that g(d) = 0.
-1, 0, 1/2, 1
Let z(q) be the second derivative of 0 - 1/20*q**5 - 1/12*q**4 + 1/30*q**6 + 0*q**2 + 1/42*q**7 + 0*q**3 - 4*q. Solve z(r) = 0 for r.
-1, 0, 1
Let y(x) = 9*x - 81. Let j be y(9). Solve -2/11 + 2/11*n**2 + j*n = 0 for n.
-1, 1
Let n(r) be the first derivative of r**6/80 + r**5/40 - 5*r**2/2 - 1. Let k(t) be the second derivative of n(t). Factor k(x).
3*x**2*(x + 1)/2
Let p = -60 + 63. Let w(y) be the first derivative of 2 - 10/9*y**2 - 20/9*y**4 + 2/9*y + 22/9*y**p + 32/45*y**5. Find b, given that w(b) = 0.
1/4, 1
Let u(a) be the first derivative of -2/5*a**3 + 1/10*a**4 + 2 + 2/5*a**2 + 0*a. Factor u(l).
2*l*(l - 2)*(l - 1)/5
Let t(q) = 7*q**3 - 9*q**2 + 5*q. Let j(h) = h**3 - h**2 + h. Let n = -6 + 7. Let g(m) = n*t(m) - 5*j(m). Factor g(s).
2*s**2*(s - 2)
Let h be 18/56 - (-1)/4. Let l = h + 2/21. Suppose 0 - 4/3*d + l*d**2 = 0. Calculate d.
0, 2
Let o(k) be the second derivative of 21*k**7/2 + 217*k**6/8 - 327*k**5/5 + 823*k**4/16 - 41*k**3/2 + 9*k**2/2 - 15*k. Let o(i) = 0. What is i?
-3, 1/4, 2/7, 1/3
Let m(w) be the first derivative of -2*w**5/65 - w**4/13 - 2*w**3/39 - 6. Factor m(j).
-2*j**2*(j + 1)**2/13
Let x = 8 - 2. Suppose 4 = -4*b + x*b. Solve 3*f + 2*f**b - 4*f + 3*f = 0 for f.
-1, 0
Factor -1/4*d**2 - 49/4 - 7/2*d.
-(d + 7)**2/4
Solve -8*w**2 - 6*w**2 + 9*w**4 + 4*w**5 - 2*w**2 - 16*w + 7*w**4 + 12*w**3 = 0.
-2, -1, 0, 1
Let d(r) be the first derivative of -5*r**3/3 - 30*r**2 - 180*r - 41. Factor d(b).
-5*(b + 6)**2
Let v(x) be the second derivative of x**8/11200 - x**6/1200 - 7*x**4/12 - x. Let j(o) be the third derivative of v(o). Find z such that j(z) = 0.
-1, 0, 1
What is r in 0 + 0*r**2 - 2/9*r**4 + 0*r**3 + 0*r = 0?
0
Solve 0*h**3 + 4/3*h + 0 + 2/3*h**4 - 2*h**2 = 0.
-2, 0, 1
Let a = -6 + 4. Let i be a/(-18)*(1 + 5). Determine s, given that 16/3*s**2 + 3*s**3 - i + 5/3*s = 0.
-1, 2/9
Let i(k) be the third derivative of -k**6/30 - 2*k**5/5 + 5*k**4/2 - 16*k**3/3 - 30*k**2. Determine x so that i(x) = 0.
-8, 1
Let o = 62/9 + -301/45. Determine z so that -o + 1/5*z**4 - 2/5*z + 0*z**2 + 2/5*z**3 = 0.
-1, 1
Let y(m) be the first derivative of m**5/270 - m**3/27 - 3*m**2 + 7. Let g(p) be the second derivative of y(p). Suppose g(v) = 0. What is v?
-1, 1
Factor 0*r + 28*r + 6 - 2 - 6*r + 32*r**2 + 14*r**3.
2*(r + 1)**2*(7*r + 2)
Let w(v) be the first derivative of -9*v**6/5 - 222*v**5/25 - 10*v**4 + 128*v**3/15 + 64*v**2/5 - 32*v/5 - 7. What is n in w(n) = 0?
-2, -1, 2/9, 2/3
Let f(c) = -c**5 + c**4 + c**3 - c**2. Let w(h) = 4*h**5 - 6*h**4 - 3*h**3 + 7*h**2 - h - 1. Let j(g) = -5*f(g) - w(g). Factor j(y).
(y - 1)**2*(y + 1)**3
Let q = 1 + -1. Let a = -133/4 + 34. Factor -a*l**4 + 0 - 1/4*l**2 - l**3 + q*l.
-l**2*(l + 1)*(3*l + 1)/4
Let x(o) = -1 + 2*o - 11 + 0. Let k be x(8). Factor 2*f**5 + f**4 + 0*f**k - 3*f**5.
-f**4*(f - 1)
Let d(i) be the first derivative of i**4/20 - 2*i**3/15 + i**2/10 + 7. Determine o so that d(o) = 0.
0, 1
Let k(m) = 5*m**4 - 15*m**3 + 9*m**2 - 11*m - 6. Let c(g) = g**2 + g + 1. Let x(i) = 6*c(i) + k(i). Factor x(s).
5*s*(s - 1)**3
Let s(w) = 2*w + 3. Let k be s(-6). Let u be 12/k - (-10)/3. Determine v, given that 0 + 1/3*v**3 - 1/3*v**5 + 1/3*v**u - 1/3*v**4 + 0*v = 0.
-1, 0, 1
Let b = 3 + -8. Let u(r) = r**3 + 6*r**2 + 6*r + 7. Let k be u(b). Suppose 6/5*h**k - 4/5 + 2*h = 0. What is h?
-2, 1/3
Suppose 0 = -4*y - 6 + 2. Let h be (-27)/(-42) - y/2. Factor -12/7*k**2 - 8/7*k - 2/7 - h*k**3 - 2/7*k**4.
-2*(k + 1)**4/7
Let g(b) be the third derivative of b**8/1512 + b**7/315 + b**6/180 + b**5/270 - 11*b**2. Factor g(u).
2*u**2*(u + 1)**3/9
Let r(v) be the first derivative of v**7/4620 + v**6/990 + v**5/660 - 2*v**3/3 + 3. Let g(k) be the third derivative of r(k). Find y, given that g(y) = 0.
-1, 0
Let z(t) be the second derivative of -t**4/6 + 22*t**3/9 - 121*t**2/9 - 6*t + 4. Solve z(o) = 0.
11/3
Suppose -5*t + 20 = -2*l + 7*l, -l = -t. Let a = 3/14 + 1/28. Factor -a*k**l - 1 - k.
-(k + 2)**2/4
Let c be 2/(-1 + 6 + (-4 - 0)). Find l, given that 0 + 1/2*l**c + 0*l = 0.
0
Let k(p) = 7*p**4 - 11*p**2 + 4*p - 5. Let l(y) = -22*y**4 + 34*y**2 - 12*y + 16. Let s(z) = -16*k(z) - 5*l(z). Let s(j) = 0. What is j?
-2, 0, 1
Let x be 3985/75 + 4/6. Let k = 54 - x. Solve 0*f + k*f**2 + 0 = 0 for f.
0
Let 2/9*g**2 - 2/3*g + 0 = 0. What is g?
0, 3
Let g(r) = -63*r**4 - 273*r**3 - 381*r**2 - 213*r - 60. Let q(t) = 18*t**4 + 78*t**3 + 109*t**2 + 61*t + 17. Let j(w) = 5*g(w) + 18*q(w). Solve j(m) = 0.
-2, -1, -1/3
Let b(x) be the first derivative of 2/3*x**4 - 8/3*x - 34/9*x**3 + 20/3*x**2 + 2. Factor b(u).
2*(u - 2)**2*(4*u - 1)/3
Let b(s) be the third derivative of s**5/480 + s**4/64 + s**3/24 + 9*s**2. Find o such that b(o) = 0.
-2, -1
Suppose 3*f + 48*w - 46*w - 6 = 0, -5*f + 2*w + 10 = 0. Factor -3/2 - 9*t - 27/2*t**f.
-3*(3*t + 1)**2/2
Let d(b) be the first derivative of -4/5*b**5 - 3 + 5/18*b**6 + 0*b**2 + 0*b + 3/4*b**4 - 2/9*b**3. Factor d(q).
q**2*(q - 1)**2*(5*q - 2)/3
Let 0 - 2/5*z**2 - 2/5*z = 0. Calculate z.
-1, 0
Let y(c) be the first derivative of -2*c**3/33 - 3*c**2/11 + 3. Factor y(h).
-2*h*(h + 3)/11
Let t(x) = 30*x**3 - 3*x**2 - 39*x + 12. Let b(l) = -15*l**3 + 2*l**2 + 19*l - 6. Let f(y) = -9*b(y) - 4*t(y). Factor f(q).
3*(q - 1)*(q + 1)*(5*q - 2)
Determine i so that 0*i - 2*i**2 - 1/2*i**5 - 4*i**3 + 0 - 5/2*i**4 = 0.
-2, -1, 0
Let i(p) be the first derivative of -p**3 + 3*p**2 - 3*p + 3. Let i(f) = 0. Calculate f.
1
Let q(n) = 7*n**4 - 4*n**3 - 4*n**2 + 7*n. Let r(i) = 36*i**4 - 20*i**3 - 20*i**2 + 36*i. Let b(x) = -16*q(x) + 3*r(x). Determine j so that b(j) = 0.
-1, 0, 1
Let o(d) = 11*d**2 + 3. Let k(y) = -10*y**2 - 2. Let u(g) = 7*k(g) + 6*o(g). Factor u(r).
-4*(r - 1)*(r + 1)
Let b = -15 - -18. Let r(h) be the third derivative of -1/300*h**6 - 2*h**2 + 1/15*h**b + 1/50*h**5 + 0*h + 0 - 1/20*h**4. Factor r(d).
-2*(d - 1)**3/5
Let q be 3 - 0 - (1 + 0). Suppose -q*u + 0 + 4 = 0. Let 3*w - w + w**u - w + 0*w**2 = 0. Calculate w.
-1, 0
Suppose -72/5 - 24/5*q + 42/5*q**2 - 6/5*q**3 = 0. Calculate q.
-1, 2, 6
Let i(r) be the second derivative of r**7/10080 + r**6/1440 - r**5/160 + r**4/2 - 4*r. Let f(c) be the third derivative of i(c). Suppose f(z) = 0. What is z?
-3, 1
Let n = 10 - -1. Let w = 16 - n. Let 0 - 8/5*i**4 + 4/5*i**3 + 8/5*i**2 - 6/5*i**w + 2/5*i = 0. Calculate i.
-1, -1/3, 0, 1
Let -5/7*n**2 + 4/7*n**5 - 3/7*n**3 + 5/7*n**4 + 0 - 1/7*n = 0. Calculate n.
-1, -1/4, 0, 1
Let o(a) be the first derivative of 3*a**4/4 + a**3 - 6*a**2 - 12*a + 3. Factor o(g).
3*(g - 2)*(g + 1)*(g + 2)
Let k(o) = o**3 + 6*o**2 - 2*o. Suppose 1 - 3 = g. Let y(m) = 3*m**3 + 13*m**2 - 3*m. Let u(s) = g*y(s) + 5*k(s). Factor u(q).
-q*(q - 2)**2
Let q(i) = -i**2 + 5*i - 1. Let z be q(5). Let j = z - -4. Solve -2*a**j + 2*a**2 + 2*a**4 - 10*a**2 + 2*