p**5 + 4*p**2 + i*p**4 - 3 - 3 - 7*p**5 - 10.
2*(p - 1)*(p + 1)*(p + 2)**3
Let m(h) be the second derivative of h**5/60 + 25*h**4/27 - 34*h**3/27 - 66*h + 1. Factor m(v).
v*(v + 34)*(3*v - 2)/9
Let d(y) be the first derivative of -y**5/25 + 7*y**4/10 + y**3/15 - 7*y**2/5 + 94. Solve d(v) = 0.
-1, 0, 1, 14
Let n(l) be the first derivative of -l**8/1176 + l**6/210 - l**4/84 - 7*l**2 - 1. Let i(y) be the second derivative of n(y). Factor i(g).
-2*g*(g - 1)**2*(g + 1)**2/7
Let a(v) be the first derivative of -9/4*v**4 + 26 + 3/5*v**5 + 15/4*v**2 - 4*v**3 + 9*v + 1/4*v**6. What is c in a(c) = 0?
-3, -1, 1, 2
Let l(p) = 6*p**3 + 4*p**2 + 3*p. Let h(w) = -4*w - 7*w**3 + 0*w**2 - 4*w**2 - 9*w + 10*w. Let o(j) = -5*h(j) - 6*l(j). Factor o(r).
-r*(r + 1)*(r + 3)
Let g(o) = -o**2 + 14*o + 3. Let h be g(14). Suppose q + 4 = h*w, q + 0*q = -3*w + 8. Factor 1/2 - 7/4*d - d**w.
-(d + 2)*(4*d - 1)/4
Suppose -6*v = -63 + 9. Factor 4*b**2 - 3*b + 2*b + v*b.
4*b*(b + 2)
Let b = -4 - -2. Let l = -3/2 - b. Factor l*m**2 + 0 - m.
m*(m - 2)/2
Let t(a) = -10*a**2 - 6 + 36*a**2 - 13*a**2 - 14*a - 9*a**2. Let b be t(4). Factor 1/5*k + 2/5*k**b + 1/5*k**3 + 0.
k*(k + 1)**2/5
Let k(y) be the first derivative of -y**6/12 - 4*y**5/5 - 13*y**4/8 - y**3 + 194. Let k(b) = 0. What is b?
-6, -1, 0
Factor 3/4*t**5 + 3*t**3 - 15/4*t + 3/2 - 3*t**4 + 3/2*t**2.
3*(t - 2)*(t - 1)**3*(t + 1)/4
Factor -8*w + 4 - 48*w**2 + 44*w**2 - 4.
-4*w*(w + 2)
Let m = 1 + 13. Determine a, given that 0 + 46*a**3 - m*a**5 + 8 - 10*a**4 - 32*a + 17*a**2 - 15*a**2 = 0.
-2, -1, 2/7, 1
Suppose 8 = -109*w + 111*w. Let h(a) = 2*a**3 - 8*a**2 - a + 8. Let n be h(w). Factor t**n + 0*t - t**3 - 1/3*t**5 + 1/3*t**2 + 0.
-t**2*(t - 1)**3/3
Let t(u) be the first derivative of 7*u**5/30 + 11*u**4/8 + 16*u**3/9 - u**2 + 95. Factor t(f).
f*(f + 2)*(f + 3)*(7*f - 2)/6
Let s(u) be the third derivative of u**8/336 - u**7/35 + u**6/120 + 2*u**5/5 - 5*u**4/6 - 7*u**2 + 3. Suppose s(z) = 0. What is z?
-2, 0, 1, 2, 5
Suppose -8 = -2*y - f + 13, 11 = y + f. Let -y*r**2 + 5 + 30*r - 50 + r**2 + 4*r**2 = 0. What is r?
3
Let j be (26 + 116)/(8*1). Let l = j + -17. Find q such that 0*q + l*q**2 + 0 + 1/4*q**3 = 0.
-3, 0
Let p = -835 + 4183/5. Find r, given that p*r + 0 - 36/5*r**2 = 0.
0, 2/9
Let s(g) = 19*g**5 + 24*g**4 + g**3 - 33*g**2 + 16*g - 9. Let d(y) = 8*y**5 + 12*y**4 - 16*y**2 + 8*y - 4. Let b(r) = -9*d(r) + 4*s(r). Factor b(z).
4*z*(z - 2)*(z - 1)**2*(z + 1)
Let u(l) be the first derivative of -2*l**6/3 - 52*l**5/5 - 67*l**4 - 228*l**3 - 432*l**2 - 432*l + 402. Factor u(k).
-4*(k + 2)**2*(k + 3)**3
Let c be 4/(16/(-6)) + 9/6. Suppose 4*j - 8 = -3*r + 1, 5*r + 5 = c. Factor 0 - 1/4*s - 1/4*s**j + 1/2*s**2.
-s*(s - 1)**2/4
Let f(w) = -w**2 + 19*w + 2. Let o be f(0). Let v(k) be the first derivative of 1/6*k**3 + o*k - 2 + k**2. Factor v(r).
(r + 2)**2/2
Let 5*z**2 + 10 - 6*z**3 - 14*z + 26 - 18*z + 7*z**3 = 0. What is z?
-9, 2
What is y in 2/7*y**2 - 8/7*y - 6 = 0?
-3, 7
Factor 306/11 - 2/11*u**2 + 96/11*u.
-2*(u - 51)*(u + 3)/11
Find y such that -2/3*y**2 - 2/15*y**3 + 4/5*y + 0 = 0.
-6, 0, 1
Find p such that 0*p - 8/7*p**4 - 2/7*p**3 + 0 + 10/7*p**5 + 0*p**2 = 0.
-1/5, 0, 1
Let j = -14769/11 - -1343. Factor 2/11*b + 2/11 - j*b**2.
-2*(b - 1)*(2*b + 1)/11
Let b = 6 - 3. Let o = b - 0. Find z, given that -2*z**4 + 4*z**3 - 2*z**o + 0*z**4 + 0*z**3 = 0.
0, 1
Let o = -16 + 52/3. Let f be -2*3/18*-6. Determine h, given that -2/3*h**5 + 0 + 0*h + 4/3*h**4 + 2/3*h**3 - o*h**f = 0.
-1, 0, 1, 2
Let r be (-6)/1*(1 + -2). Suppose 12 = -2*y + r*y. Determine t, given that 4*t**3 - 4*t**4 + 2 + 0*t - t - y*t + 2*t**4 = 0.
-1, 1
Let i(k) be the second derivative of 2*k**3 + 5/6*k**4 - 1/6*k**5 - 8*k + 0*k**2 + 0 + 1/72*k**6. Let t(d) be the second derivative of i(d). Factor t(w).
5*(w - 2)**2
Let h(d) = -9*d**3 - 187*d**2 - 3067*d - 16374. Let b(f) = 5*f**3 + 93*f**2 + 1533*f + 8186. Let y(k) = -5*b(k) - 3*h(k). Solve y(s) = 0 for s.
-16
Let f = 89 - 83. Let o(x) be the third derivative of -1/15*x**5 - 7/60*x**f + 0*x**4 + 0*x + 0*x**3 + 0 + 4*x**2. Factor o(h).
-2*h**2*(7*h + 2)
Let d(q) be the second derivative of q**4/30 - q**3/15 - 6*q**2/5 + 48*q. Determine v, given that d(v) = 0.
-2, 3
Let t(c) = -3*c**5 + 6*c**4 - 23*c**3 + 18*c**2 + 2*c + 2. Let f(v) = 10*v**5 - 17*v**4 + 70*v**3 - 54*v**2 - 7*v - 7. Let n(i) = 2*f(i) + 7*t(i). Factor n(p).
-p**2*(p - 3)**2*(p - 2)
Let j(s) be the third derivative of -s**6/200 - 7*s**5/100 - 3*s**4/10 - 4*s**2 - 23*s. Factor j(h).
-3*h*(h + 3)*(h + 4)/5
Let n = -1553 + 6215/4. Let s(c) be the first derivative of -9/4*c - 1/12*c**3 - 1 - n*c**2. Solve s(k) = 0.
-3
Factor 2/3*p**2 - 28/3 - 26/3*p.
2*(p - 14)*(p + 1)/3
Let j(h) = 3*h**2 + 872*h + 63956. Let i(w) = 3*w**2 + 871*w + 63958. Let k(o) = 4*i(o) - 5*j(o). Factor k(x).
-3*(x + 146)**2
Factor -3*z**4 + 0 + 0*z + 1/4*z**5 - 25/2*z**2 + 45/4*z**3.
z**2*(z - 5)**2*(z - 2)/4
Let j(c) = -7*c**2 - 8*c - 19. Let q(w) = 13*w**2 + 18*w + 38. Let l(o) = -11*j(o) - 6*q(o). Factor l(m).
-(m + 1)*(m + 19)
Let h(w) be the second derivative of 3*w**6/2 + 19*w**5/2 + 265*w**4/12 + 70*w**3/3 + 10*w**2 - w + 12. Factor h(v).
5*(v + 1)**2*(v + 2)*(9*v + 2)
Let j(s) be the first derivative of -s**2 + 2 + 1/12*s**4 + 5*s + 1/6*s**3. Let t(l) be the first derivative of j(l). Factor t(d).
(d - 1)*(d + 2)
Let c be 10/35 - (-519)/21. Suppose k + 4*z + 20 = 0, c = k - 6*k - 5*z. Let 2/11*r**5 + 4/11*r**4 - 4/11*r**2 + 0 - 2/11*r + k*r**3 = 0. What is r?
-1, 0, 1
Let r(x) be the first derivative of 5*x**6/6 - 2*x**5 - 5*x**4/2 + 40*x**3/3 - 35*x**2/2 + 10*x - 10. Solve r(n) = 0 for n.
-2, 1
Let b be (2 + -2)/(6 - 6 - 1). Let y(f) be the first derivative of 3 - 1/34*f**4 + b*f + 0*f**2 - 2/51*f**3. Let y(l) = 0. What is l?
-1, 0
Suppose 4*l - 81 = 5*p + 93, 3*l = 5*p + 128. Let x be l/4*(-7 + 9). Factor 0 - x*q**3 + 0 + 27*q**3 - 12*q**2.
4*q**2*(q - 3)
Let x(f) be the second derivative of -3*f**5/4 - 25*f**4/6 + 20*f**3/3 + 17*f. Determine z, given that x(z) = 0.
-4, 0, 2/3
Suppose -7*j = 27 + 1. Let a be j - -2 - 36/(-16). Factor 1/4*z**3 - 1/4*z**4 + 0 - a*z + 1/4*z**2.
-z*(z - 1)**2*(z + 1)/4
Suppose 4*g + 3 = 3*v, 3*v - 7 + 4 = 0. Let q(l) be the first derivative of -4 - 3/22*l**4 + 2/11*l**3 - 1/11*l**2 + 2/55*l**5 + g*l. Factor q(u).
2*u*(u - 1)**3/11
Let b(r) be the third derivative of 0*r + 1/3*r**3 + 3/8*r**4 - 2/5*r**5 + 0 + 13/120*r**6 + 24*r**2. Factor b(t).
(t - 1)**2*(13*t + 2)
Let h(j) be the first derivative of -5*j**6/12 - 15*j**5/2 + 45*j**4 - 190*j**3/3 + 407. Factor h(d).
-5*d**2*(d - 2)**2*(d + 19)/2
Let m(n) be the first derivative of 0*n + 3/28*n**4 + 6/7*n**2 + 1 + 5/7*n**3. Solve m(f) = 0 for f.
-4, -1, 0
Let i(x) = -25*x**3 + 64*x**2 - 13*x - 6. Let g(b) = -24*b**3 + 64*b**2 - 12*b - 8. Let q(l) = 3*g(l) - 4*i(l). Factor q(d).
4*d*(d - 2)*(7*d - 2)
Let z(y) be the third derivative of y**7/3780 - y**5/45 - y**4/6 + 31*y**2. Let d(r) be the second derivative of z(r). Determine s so that d(s) = 0.
-2, 2
Let c(h) be the third derivative of -h**5/150 - h**4/30 - h**3/15 + h**2 - 12*h. Find a such that c(a) = 0.
-1
Find g, given that g**5 - 17*g**3 + 0*g**2 - g**3 - 6*g**2 + 22*g**3 + 6 - 12*g**3 + 7*g = 0.
-2, -1, 1, 3
Factor 20*v**2 + 2*v**2 - 3*v + 0*v - 19*v**2.
3*v*(v - 1)
Let j(d) be the third derivative of 0 + 0*d - 3*d**2 - 1/180*d**5 + 5/36*d**4 - 25/18*d**3. Suppose j(n) = 0. What is n?
5
Let l(t) be the first derivative of t**4/4 + t**2/2 + 6. Let q(b) = 2*b**3 + b**2 + 5*b. Let d(k) = -3*l(k) + q(k). Let d(g) = 0. Calculate g.
-1, 0, 2
Let j be (210/(-28) - -8)/((-8)/(-66)). Factor -j*p - 27/8*p**2 - 3/4.
-3*(p + 1)*(9*p + 2)/8
Suppose 6*g - 85 = 2*g - k, -3*g + 80 = 4*k. Factor 19 + 4*n**2 - 12 + n**2 + 13 - g*n.
5*(n - 2)**2
Factor -8/13*o**2 - 2/13*o**3 + 20/13 + 14/13*o.
-2*(o - 2)*(o + 1)*(o + 5)/13
Suppose -18*m = 5 - 77. Suppose 130*k + m = 131*k. Let 1/4*r**k + 1/4 - 1/2*r**2 - 1/2*r**5 + r**3 - 1/2*r = 0. Calculate r.
-1, 1/2, 1
Let t(m) = 2*m**2. Let r(p) = 9*p**2 - 45*p. Let d(x) = r(x) - 6*t(x). Find v, given that d(v) = 0.
-15, 0
Find k, given that -38*k**2 - 78 + 3*k**3 - 238*k + 85*k - 34*k**2 = 0.
-1, 26
Let t(i) be the third derivative of -41*i**2 + 0*i + 1/90*i**6 - 8/9*i**3 - 2/15*i**5 + 0 + 1/2*i**4. Fin