11*p + 20*p**2 - 5*p + 14*p = 0?
-2, 0
Let i(c) be the second derivative of -c**4/12 - 27*c. Suppose i(h) = 0. What is h?
0
Let n(j) be the third derivative of 0*j**4 + 1/21*j**3 - 1/105*j**5 + 4*j**2 + 1/735*j**7 + 0*j + 0*j**6 + 0. Factor n(c).
2*(c - 1)**2*(c + 1)**2/7
Let n(u) = -4*u**3 - 16*u**2 - u - 7. Let j(l) = -3*l**3 - 15*l**2 - 6. Let o = -7 + 0. Let x(q) = o*j(q) + 6*n(q). Factor x(i).
-3*i*(i - 2)*(i - 1)
Let d(b) be the second derivative of -b**5/180 + b**2 + b. Let z(s) be the first derivative of d(s). Factor z(j).
-j**2/3
Let g(w) = -w**2 - 30*w + 2. Let u be g(-30). Determine l, given that -2/5*l**3 - 8/5 + 8/5*l + 2/5*l**u = 0.
-2, 1, 2
Let b(f) = 12*f**2 - 47*f + 24. Let p(i) = -4*i**2 + 16*i - 8. Let y(w) = -4*b(w) - 11*p(w). Factor y(r).
-4*(r - 2)*(r - 1)
Let t(v) be the first derivative of 2*v**5/25 - v**4/10 - 4*v**3/15 - 16. Determine p so that t(p) = 0.
-1, 0, 2
Suppose -5*u = -8*u. Let x(i) be the second derivative of -2/3*i**3 + i**2 + 1/6*i**4 + u + 3*i. Suppose x(c) = 0. What is c?
1
Let l(z) be the second derivative of -z**8/168 - 2*z**7/105 + z**5/15 + z**4/12 + z**2/2 + 3*z. Let o(v) be the first derivative of l(v). Factor o(y).
-2*y*(y - 1)*(y + 1)**3
Let c(p) = 0*p**2 - 3*p**2 + 5 - 1 - p**2. Let a(j) = 11*j**2 - 11. Let b(t) = 3*a(t) + 8*c(t). Suppose b(o) = 0. Calculate o.
-1, 1
Let n(a) be the first derivative of -16*a**5/5 + 4*a**3 - 2*a**2 - 4. Solve n(z) = 0 for z.
-1, 0, 1/2
Suppose 2*y + 2 = 8, 6 = -3*v + 3*y. Suppose v = 2*m - c + 2*c, 5*c = -15. Let -2/3 + l - l**3 + 2/3*l**m = 0. What is l?
-1, 2/3, 1
Let l(j) be the second derivative of -j**6/50 - 3*j**5/50 + j**3/5 + 3*j**2/10 + 4*j. Factor l(c).
-3*(c - 1)*(c + 1)**3/5
Let p(s) be the third derivative of -s**8/1176 + s**7/245 + s**6/210 - s**5/35 - s**4/84 + s**3/7 - 32*s**2. Solve p(q) = 0 for q.
-1, 1, 3
Factor 4*j**2 + 2/3*j**4 - 16/3 + 8/3*j - 10/3*j**3.
2*(j - 2)**3*(j + 1)/3
Let i(y) = -2*y**3 - 11*y**2 + 11*y - 14. Let r(d) = -d**3 - 4*d**2 + 4*d - 5. Let c(a) = 4*i(a) - 11*r(a). Let s be c(1). Factor -6/7*k + 2/7*k**s + 4/7.
2*(k - 2)*(k - 1)/7
Let a be 15/5 - 1388/(-3). Let v = -461 + a. Find m such that 7/3*m - v*m**3 + 7/3*m**5 + 2/3 + 2/3*m**4 - 4/3*m**2 = 0.
-1, -2/7, 1
Suppose 0 = -4*b - 0*b. Suppose b*m = 5*c + 2*m - 13, -3*c + 4 = 5*m. Find k such that k**4 + 11/3*k**c + 5*k**2 + 2/3 + 3*k = 0.
-1, -2/3
Let k(l) be the first derivative of -2*l**5/25 + 3*l**4/10 - 2*l**3/5 + l**2/5 - 8. Find a, given that k(a) = 0.
0, 1
Let y(t) be the second derivative of 1/40*t**5 + 1/36*t**4 + 6*t + 0 + 1/180*t**6 + 0*t**2 + 0*t**3. Factor y(i).
i**2*(i + 1)*(i + 2)/6
Let m(n) be the third derivative of -99/40*n**6 - 11/2*n**4 + 139/20*n**5 + 0*n + 3*n**2 + 2*n**3 + 0. Solve m(p) = 0.
2/11, 2/9, 1
Let r be (-1)/(-3) - (-254)/6. Let d = -42 + r. Let 2/3*h**2 + 0 - d*h = 0. What is h?
0, 1
Let d be 1 + 2 - (-3)/1. Find t, given that 0*t**4 + d*t**2 - 2*t**2 - 2*t**3 - 2*t**4 = 0.
-2, 0, 1
Let k(f) = -3*f - 2. Let h be k(-2). Factor -h + 3*j**3 - 4*j**3 - 12*j**2 + 4*j**3 + j**3 + 12*j.
4*(j - 1)**3
Let u(l) be the second derivative of 1/15*l**6 + 1/10*l**5 + 1/63*l**7 - 4*l + 0*l**2 + 0 + 1/18*l**4 + 0*l**3. Factor u(h).
2*h**2*(h + 1)**3/3
Let k = -262 - -1053/4. Let a be (-11)/(-14) + (-4)/14. Factor a*h**3 + k*h**2 - 1/2*h - 5/4*h**4 + 0.
-h*(h - 1)*(h + 1)*(5*h - 2)/4
Factor 10*b**2 + 4*b**4 + 8 - 20*b**3 - 28*b + 0 + 26*b**2.
4*(b - 2)*(b - 1)**3
Let y(t) = -t**3 - 12*t**2 + 14*t + 15. Let o be (-3 + 1)*(-26)/(-4). Let g be y(o). Let -1/2*b**g - 1/2*b**5 + 1/2*b**4 + 1/2*b**3 + 0*b + 0 = 0. Calculate b.
-1, 0, 1
Factor -6*m**4 + 2*m**4 + m + 5*m**4 + 3*m**3 + 3*m**2.
m*(m + 1)**3
Let k(s) = -s**4 + s**3 + s**2 - s - 1. Let n = 11 - 15. Let g(x) = 3*x**4 - 4*x**3 - 2*x**2 + 4*x + 3. Let o(t) = n*k(t) - g(t). Let o(z) = 0. Calculate z.
-1, 1
Let v be (-93)/(-4)*9 + -1. Let k = v + -203. Find o, given that -o - 5*o**2 - k*o**3 + 0 = 0.
-2/3, -2/7, 0
Let z(f) = f**2 - 5*f - 4. Let r be z(7). Let h be ((-33)/5)/((-9)/r). What is x in -4/9*x - 40/9*x**4 - h*x**3 - 10/3*x**2 + 0 = 0?
-1, -2/5, -1/4, 0
Let j = 18 + -10. Suppose -2*o + 5*g + j = 0, o + o + g - 8 = 0. What is c in c**3 + 2*c**2 + c**o - 3*c**2 + 8 - c - 8 = 0?
-1, 0, 1
Let i(b) be the third derivative of -b**7/1680 - b**6/960 - 13*b**2. Find y, given that i(y) = 0.
-1, 0
Let t be 2*(-6)/12*-2. Determine b so that -3/2*b**t - b**3 + 1/2 + 0*b = 0.
-1, 1/2
Factor 8*c**4 + 45*c + 5*c**5 + 15*c**2 - 88*c**2 - 10 + 70*c**3 - 7*c**2 - 38*c**4.
5*(c - 2)*(c - 1)**4
Let x(w) be the second derivative of -w**3/6 + 9*w**2/2 + w. Let c be x(6). Factor 0*y**3 - 2*y**4 - y**3 - 3*y**c.
-2*y**3*(y + 2)
Let a(x) be the second derivative of -x**4/4 + 3*x**2/2 + 13*x. Factor a(u).
-3*(u - 1)*(u + 1)
Let n(w) be the second derivative of -3*w + 1/15*w**4 + 1/50*w**5 - 1/15*w**3 + 0 - 2/5*w**2. Find l, given that n(l) = 0.
-2, -1, 1
Suppose y - 3*y + 6 = 0. Suppose q = 3*p - 6, 5*q - p = -2 - 0. Determine m so that y*m - 2*m**3 - m + q*m = 0.
-1, 0, 1
Let n(z) be the third derivative of -z**5/240 + z**4/32 + z**3/6 + 6*z**2. Factor n(y).
-(y - 4)*(y + 1)/4
Let z(f) = 98*f**3 - 219*f**2 + 138*f - 17. Let d(n) = 33*n**3 - 73*n**2 + 46*n - 6. Let l(w) = 14*d(w) - 4*z(w). Factor l(p).
2*(p - 1)*(5*p - 4)*(7*p - 2)
Suppose -2*p - 4*p - 2*p = 0. Suppose c**3 + 1/2*c**4 + 0 + 0*c**2 + p*c = 0. Calculate c.
-2, 0
Find u, given that -6 - 9*u**2 + 27/2*u + 3/2*u**3 = 0.
1, 4
Let w(f) = 5*f**5 - 10*f**4 - f**3 - 6*f**2. Let c(l) = -20*l**5 + 40*l**4 + 5*l**3 + 25*l**2. Let b(t) = 6*c(t) + 25*w(t). Factor b(v).
5*v**3*(v - 1)**2
Let k(s) = -3*s**3 + 4*s**2 + 3*s. Let p = -7 - -3. Let g(i) = i**3 - i**2 - i. Let w(y) = p*g(y) - k(y). Solve w(n) = 0 for n.
-1, 0, 1
Let f(k) = 4*k**5 + 20*k**4 + 8*k**3 - 20*k**2 - 16*k. Let h(b) = 4*b**5 + 19*b**4 + 9*b**3 - 19*b**2 - 16*b. Let n(m) = -3*f(m) + 4*h(m). Factor n(c).
4*c*(c - 1)*(c + 1)*(c + 2)**2
Suppose -4*g = 5*q - 31, 3 = -5*q + 5*g - 2. Factor -c**3 - c**4 + 1 + q*c**2 - 4*c**3 + 5*c - 3*c**4.
-(c - 1)*(c + 1)**2*(4*c + 1)
Suppose -2*d + d + 4 = 0. Suppose -2*i + 3*l = -4 + 1, d*i = 5*l + 7. Determine w, given that 1/5 - 3/5*w - 1/5*w**i + 3/5*w**2 = 0.
1
Let b = -19721 - -79895/4. Let u = b - 251. Factor 1/4*q + 1/2*q**2 + 0 - u*q**3 + q**4.
q*(q - 1)**2*(4*q + 1)/4
Factor -2 - 1 + 3*s**2 + 0*s**2 - s - 1.
(s + 1)*(3*s - 4)
Let w(x) = -x - 16. Let t be w(-24). Factor -t*r**4 + 14/3*r**5 + 2*r**3 + 0 + 0*r + 4/3*r**2.
2*r**2*(r - 1)**2*(7*r + 2)/3
Let x(z) be the third derivative of 0*z**3 + 0 + 0*z**4 + 2*z**2 + 1/30*z**5 + 0*z. Suppose x(g) = 0. Calculate g.
0
Let r be 3 + 7/(-42)*16. Factor -3*u + r*u**4 + 5/3*u**3 + 0 + u**2.
u*(u - 1)*(u + 3)**2/3
Let k(h) = h**3 + 7*h**2 + h + 17. Let s be k(-7). Suppose -5*z = -s*z + 10. Factor 0 + 2/7*n**z - 4/7*n.
2*n*(n - 2)/7
Suppose 0 = 10*c - 6*c - 8. Suppose 6/5*x**c - 4/5*x + 0 - 2/5*x**3 = 0. What is x?
0, 1, 2
Let t(n) be the second derivative of -10/21*n**7 + 17/6*n**4 - 19/15*n**6 + 2*n**2 + 3*n + 0 - 1/10*n**5 + 11/3*n**3. Solve t(l) = 0 for l.
-1, -1/2, -2/5, 1
Let m(p) be the second derivative of -5*p**4/12 + 5*p**3/6 - 10*p - 2. Factor m(q).
-5*q*(q - 1)
Let s(p) be the third derivative of p**6/30 + 2*p**5/15 + p**4/6 - 5*p**2. Let s(n) = 0. What is n?
-1, 0
Factor 0 + 0*z + 1/7*z**2.
z**2/7
Let n(a) = -4*a**3 + 2*a**2 + 3*a. Let c be 39/(-2)*(-4)/(-3). Let w(j) = -17*j**3 + 9*j**2 + 13*j. Let x(z) = c*n(z) + 6*w(z). Let x(t) = 0. Calculate t.
-1, 0
Let z(a) = 8*a**4 - 7*a**3 + 4*a - 2. Suppose -s + 5*s - 8 = 0. Let n(q) = 7*q**4 - 7*q**3 - q**2 + 5*q - 2. Let r(y) = s*z(y) - 3*n(y). Factor r(l).
-(l - 1)**2*(l + 1)*(5*l - 2)
Let p(f) = 2*f**3 - 17*f**2 - 7*f - 13. Let y be p(9). Let h(i) be the third derivative of 0 + 0*i - 1/240*i**y + 2*i**2 - 1/6*i**3 - 1/24*i**4. Factor h(d).
-(d + 2)**2/4
Solve -2 - 3*i**2 + 4 - 8 - 6 + 12*i = 0 for i.
2
Factor 3/8*q**2 + 0 + 0*q.
3*q**2/8
Let f = 12 - 9. Factor -6*a**4 + a**5 - 18*a**f + 26*a**3 - 4*a**2 + a**4.
a**2*(a - 2)**2*(a - 1)
Let q(x) be the second derivative of x**5/70 - 5*x**4/42 + 2*x**3/21 + 8*x**2/7 - 11*x. Factor q(f).
2*(f - 4)*(f - 2)*(f + 1)/7
Let a(g) be the second derivative of 1/45*g**6 - 1/189*g**7 - 6*g + 1/54*g**4 - 1/30*g**5 + 0*g**2 + 0*g