What is p?
-1, 3
Let o(i) be the third derivative of 1/480*i**6 + 0*i**5 - 1/96*i**4 + 0 + 0*i**3 - 25*i**2 + 0*i. Solve o(s) = 0 for s.
-1, 0, 1
Let n(j) = -55*j**2 - 65*j + 540. Let d(z) = 9*z**2 + 11*z - 90. Let v(t) = 25*d(t) + 4*n(t). Factor v(i).
5*(i - 3)*(i + 6)
Factor -6 + 1 + l**2 + 4 + l**3 - 4*l**3 + 3*l.
-(l - 1)*(l + 1)*(3*l - 1)
Determine w, given that -8/5*w**2 + 2*w**3 - 2/5*w + 0 = 0.
-1/5, 0, 1
Let k be 1*((-21)/2)/((-1)/2). Let v be (-6)/21 - (50/k - 4). Factor -2/3*y**2 - 2/3 - v*y.
-2*(y + 1)**2/3
Let l = -1/4 + 11/4. Let c = 39/14 - l. Determine j, given that 5/7*j**5 - 1/7*j - 4/7*j**3 - c - 8/7*j**4 + 10/7*j**2 = 0.
-1, -2/5, 1
Let r(y) be the third derivative of y**6/132 + y**5/55 - 3*y**4/44 - 2*y**3/33 + 132*y**2 + 2. Find k such that r(k) = 0.
-2, -1/5, 1
Let z be (6 + -10 + 6 - -2) + -4. Let n(i) be the first derivative of -1/12*i**4 + 0*i**2 - 1/9*i**3 + z*i + 6. Let n(s) = 0. What is s?
-1, 0
Let k(y) = -3*y**2 + 9*y + 18. Let m(w) = w**2 - w. Let b(h) = -3*k(h) - 6*m(h). Solve b(x) = 0 for x.
-2, 9
Let b(c) = -2*c**2 + 13*c - 12. Let k be b(5). Suppose 2*j = 4*n - 14, 2*j = -k*j + 5*n - 10. Factor -9/2 + 5/2*y**2 + 3/2*y + 1/2*y**j.
(y - 1)*(y + 3)**2/2
What is l in 0 + 4/5*l**2 + 8/5*l**4 + 2*l**3 + 0*l + 2/5*l**5 = 0?
-2, -1, 0
Let x(b) be the second derivative of b**7/10080 - b**6/4320 - b**5/720 - 7*b**3/6 - 9*b. Let s(g) be the second derivative of x(g). Factor s(q).
q*(q - 2)*(q + 1)/12
Suppose -15 = -4*c + 17. Suppose -c - 2 = -5*i. Factor s + 0*s**3 + 1/2*s**4 - 3/2*s**i + 0.
s*(s - 1)**2*(s + 2)/2
Let z(b) = -7*b**5 + 49*b**4 - 89*b**3 + 41*b**2 - 3. Let m(h) = 6*h**5 - 50*h**4 + 90*h**3 - 42*h**2 + 2. Let p(v) = 3*m(v) + 2*z(v). Factor p(t).
4*t**2*(t - 11)*(t - 1)**2
Let l(s) = s**2 + 3. Let w(g) = -g**2 - 10*g - 33. Let f(z) = 6*l(z) + w(z). Factor f(a).
5*(a - 3)*(a + 1)
Factor 727*a - 1728*a**2 + 744*a**3 + 1109*a - 152*a**4 - 62342*a**5 + 62354*a**5 - 648.
4*(a - 3)**4*(3*a - 2)
Let b(k) be the second derivative of -k**4/66 - 13*k**3/3 + 568*k. What is f in b(f) = 0?
-143, 0
Let s(l) be the first derivative of -l**7/168 - l**6/24 - l**5/8 - 5*l**4/24 + 9*l**3 + 13. Let w(u) be the third derivative of s(u). Factor w(q).
-5*(q + 1)**3
Let u(l) = l**2 - 1. Let c(y) = -y**2 - 45*y - 74. Let v(j) = c(j) - 4*u(j). Factor v(f).
-5*(f + 2)*(f + 7)
Let d = 22/47 - 368/987. Let q(m) be the second derivative of -9*m + 1/84*m**4 + 3/14*m**2 + d*m**3 + 0. Factor q(x).
(x + 1)*(x + 3)/7
Let y = 2077 - 10384/5. Find x, given that 1/5*x**3 - y*x**2 - 3/5 - x = 0.
-1, 3
Let h(p) = -p**2 - p + 1. Let g = -36 - -35. Let u(y) = 3*y + 3. Let s(v) = g*u(v) + 3*h(v). Determine w, given that s(w) = 0.
-2, 0
Let v be 319/(-18) - 15/(-30). Let a = -17 - v. Find m such that a*m**2 + 4/9*m + 0 = 0.
-2, 0
Let h be -4 + 3/142*(-26480)/(-132). Let g = h + -4/71. Factor 8/11*d - 8/11 - g*d**2.
-2*(d - 2)**2/11
Let v = -17067 - -17079. Solve 15/2*h**3 + 21/2*h**2 - v*h - 6 = 0 for h.
-2, -2/5, 1
Factor -1/2*m**4 - 13/2*m**2 + 7/2*m**3 - 3/2*m + 9.
-(m - 3)**2*(m - 2)*(m + 1)/2
Let g be (2 + (-57)/30)*(-4)/(-16). Let k(d) be the third derivative of 6*d**2 + 0*d - g*d**5 + 0*d**3 + 1/80*d**6 + 0 + 1/140*d**7 - 1/16*d**4. Factor k(u).
3*u*(u - 1)*(u + 1)**2/2
Let f(v) be the first derivative of 2*v**5/25 - 3*v**4/10 - 22*v**3/15 + 3*v**2/5 + 4*v + 458. Let f(q) = 0. Calculate q.
-2, -1, 1, 5
Let h(l) = l - 4. Let a(k) = -4*k**2 + 208*k + 232. Let s(y) = a(y) + 4*h(y). Determine t, given that s(t) = 0.
-1, 54
Let z(y) be the third derivative of 0 + 0*y - 1/300*y**6 - 8*y**2 + 1/100*y**5 + 1/30*y**4 - 1/1050*y**7 - 2/15*y**3. Let z(n) = 0. Calculate n.
-2, 1
Suppose 21 = -6*k - k. Let t(j) = j**3 - 9*j. Let v be t(k). Solve 0 + v*b + 2/3*b**2 = 0.
0
Let p be 18/24 - ((-30)/8)/3. Let u be (((-165)/(-18))/(-11) - -1)*10. Determine q so that 2/3 + 1/3*q**3 + 4/3*q**p + u*q = 0.
-2, -1
Suppose -4*p - 63 = -4*d - 3*p, 5*d - 78 = p. Solve -132*f**4 + 135*f**4 - 13*f + f - d*f**2 - 3*f**5 + 12 + 15*f**3 = 0.
-2, -1, 1, 2
Suppose 0 = -0*l - 5*l - 2*k + 35, 7 = l - k. Let a(c) = -10*c + 72. Let s be a(l). Factor -8/5*n**2 - 4/5 - 2/5*n**3 - s*n.
-2*(n + 1)**2*(n + 2)/5
Let z(f) be the third derivative of f**7/420 - 7*f**6/240 + f**5/20 + 161*f**2. Factor z(j).
j**2*(j - 6)*(j - 1)/2
Let z(g) = -10*g**3 + 29*g**2 - 20*g + 1. Let d(q) = -110*q**3 + 320*q**2 - 220*q + 10. Let k = 23 - 19. Let u(f) = k*d(f) - 45*z(f). Factor u(b).
5*(b - 1)**2*(2*b - 1)
Solve -6*p**2 + 11/2*p + 0 + 1/2*p**3 = 0.
0, 1, 11
Determine t so that -20 + 88/5*t**3 + 4/5*t**4 + 296/5*t - 288/5*t**2 = 0.
-25, 1
Let g(l) be the first derivative of l**3/15 + 7*l**2/10 - 18*l/5 - 354. Factor g(q).
(q - 2)*(q + 9)/5
Suppose -16582*y + 63 = -16561*y. Factor -17/6*t**2 - 5/6*t**y + 0 - t.
-t*(t + 3)*(5*t + 2)/6
Factor 1/3*l**2 + 0 + 28/3*l.
l*(l + 28)/3
Let t(w) be the second derivative of -5*w**4/12 - 5*w**3 - 45*w**2/2 + 306*w + 2. Factor t(s).
-5*(s + 3)**2
Let l(w) = w**2 - w + 4. Let d be l(0). Let x = -12 + 16. Let -12*y**x + 12*y**2 + 2*y**5 - 10*y**3 + d*y + 14*y**5 - 8*y**3 - 2*y**3 = 0. Calculate y.
-1, -1/4, 0, 1
Let c(s) be the second derivative of 1/3*s**5 + 3*s**2 + 2*s + 1/3*s**4 + 0 + 0*s**3 + 1/10*s**6. Let z(r) be the first derivative of c(r). Factor z(v).
4*v*(v + 1)*(3*v + 2)
Let b(a) be the first derivative of -a**5/60 - a**4/12 - a**3/6 + 7*a**2 + 28. Let p(w) be the second derivative of b(w). Factor p(n).
-(n + 1)**2
Let r(t) be the second derivative of t**6/144 - t**5/48 + 5*t**3/6 + 14*t. Let q(f) be the second derivative of r(f). Factor q(w).
5*w*(w - 1)/2
Determine z, given that -4 - 7*z**2 - 12*z**2 - 4 + 23*z**2 - 8 = 0.
-2, 2
Suppose 108*p + 33*p = 32*p. What is o in -1/2*o + 3/4*o**2 + 0*o**3 + p - 1/4*o**4 = 0?
-2, 0, 1
Let b be 1029/(-504)*-4*(-8)/(-14). Factor 16/3*u + b - 26/3*u**2 - 4/3*u**3.
-2*(u - 1)*(u + 7)*(2*u + 1)/3
Let m(t) be the second derivative of -t**6/1260 - t**5/84 - t**4/14 - 7*t**3/2 + 27*t. Let x(r) be the second derivative of m(r). What is h in x(h) = 0?
-3, -2
Let b(y) be the third derivative of y**7/42 - y**6/12 - 7*y**5/12 - 5*y**4/6 + 302*y**2. Factor b(m).
5*m*(m - 4)*(m + 1)**2
Let m(a) be the third derivative of -3/2*a**3 + 0 + 0*a - 5/8*a**4 + 2/15*a**6 + 2/15*a**5 - 14*a**2. Factor m(i).
(i - 1)*(4*i + 3)**2
Factor 0*q + 0 + 0*q**2 - 8*q**3 - 2/17*q**4.
-2*q**3*(q + 68)/17
Let u = 2/1929 - -13499/3858. Let -11/4*w**4 + u*w**3 + 3/4*w**5 + 1/4 - 1/4*w - 3/2*w**2 = 0. What is w?
-1/3, 1
Let v(p) be the first derivative of -p**3/21 + p**2/14 + 6*p/7 + 12. Determine o, given that v(o) = 0.
-2, 3
Let n(f) = 28*f - 6. Let x be n(2). Let j = 50 - x. Factor 0 + j*i + 1/2*i**4 - i**2 - 1/2*i**3.
i**2*(i - 2)*(i + 1)/2
Let v(i) = 2*i**4 - 2*i**3 + 7*i**2 + 5*i - 12. Let b(g) = 3*g**4 - 5*g**3 + 14*g**2 + 10*g - 22. Let z(u) = 3*b(u) - 5*v(u). Determine m, given that z(m) = 0.
-6, -1, 1
Let y(t) be the first derivative of t**6/30 - 2*t**5/5 + 17*t**4/20 - 8*t**3/15 - 188. Solve y(b) = 0.
0, 1, 8
Let i = -322 - -324. Let w(h) be the first derivative of 2*h - 2*h**i - 1 + 2/3*h**3. Factor w(j).
2*(j - 1)**2
Let p = -10 + 19. Suppose 0 = 2*x + f - 0 - 2, 0 = 2*x - 5*f - 26. Factor -p - 11 - 3*a + 9*a + 17 - x*a**2.
-3*(a - 1)**2
Find i, given that 2*i - 21*i + 10*i**3 + 0*i**2 + 8 + i + 8*i - 2*i**4 - 6*i**2 = 0.
-1, 1, 4
Let n(z) be the first derivative of 2*z**3/3 - 43*z**2 + 352. Suppose n(h) = 0. What is h?
0, 43
Let 0*p + 5/3*p**3 + 35/3*p**2 - 60 = 0. Calculate p.
-6, -3, 2
Let a(s) = -2*s**3 - 9*s**2 + 30*s - 16. Let d(o) = -2*o**3 - 10*o**2 + 30*o - 16. Let t(n) = 2*a(n) - 3*d(n). Factor t(q).
2*(q - 1)**2*(q + 8)
Let b = 4028/5 - 28181/35. Suppose b*n**4 - 9/7*n**2 + 6/7 + 3/7*n - 3/7*n**3 = 0. What is n?
-1, 1, 2
Let b(v) be the first derivative of v**3/15 - 18*v**2/5 + 324*v/5 + 42. Solve b(d) = 0 for d.
18
Solve -309/2*o - 225/2 - 87/2*o**2 - 3/2*o**3 = 0 for o.
-25, -3, -1
Let n = 3403 - 3400. Determine y, given that 0*y**n + 2/11*y**5 - 4/11*y**2 + 4/11*y**4 - 2/11*y + 0 = 0.
-1, 0, 1
Let d(t) = t**2 + 3*t - 7. Let r = -25 - -20. Let o be d(r). Let -5*i**3 + 6*i**3 + 2*i**4 + 11*i**o + i**4 + 12*i**2 = 0. What is i?
-2, 0
Let f be -1 + -1 + 5792/2880. Let u(a) be the second derivative of 0*a**3 + 1/36*a**4 + 0*