5*p**5.
-p**3*(p - 2)*(p + 1)
Suppose -7*f**4 + 9*f**4 + 0*f**4 - 4*f**2 - 32*f - 6*f**2 + 8*f**3 + 2*f**2 = 0. Calculate f.
-4, -2, 0, 2
Let z = 74 + -54. Suppose -9*l + z = -7. Solve 0 - 21/2*j**2 - l*j = 0.
-2/7, 0
Let f(a) = a + 2. Let k(o) = -3*o**2 - 423*o - 14706. Let z(p) = 3*f(p) + k(p). Factor z(t).
-3*(t + 70)**2
Factor -484 + 8*t**4 - 924*t - 9*t**4 - 397*t**2 + 56*t**3 - 14*t**3.
-(t - 22)**2*(t + 1)**2
Let a(w) be the first derivative of 2*w**3/9 + 5*w**2/3 - 4*w - 102. Find d, given that a(d) = 0.
-6, 1
Let i(f) be the first derivative of 2*f**5/5 - f**4 - 2*f**3/3 + 2*f**2 - 220. Suppose i(v) = 0. Calculate v.
-1, 0, 1, 2
Let g(d) be the second derivative of 0*d**3 + 3*d**5 - 7*d + 16/5*d**6 - 32/21*d**7 + 0 + 2/3*d**4 + 0*d**2. Suppose g(h) = 0. Calculate h.
-1/4, 0, 2
Let n(q) be the third derivative of -4*q**2 + 1/2*q**4 + 8/3*q**3 - 1/15*q**5 + 0 + 0*q. Find k, given that n(k) = 0.
-1, 4
Find t, given that -167/6*t + 55/3 + 1/2*t**2 = 0.
2/3, 55
Factor -1/2*d - 3/4*d**2 + 0*d**3 + 0 + 1/4*d**4.
d*(d - 2)*(d + 1)**2/4
Let t = 223 + -218. Suppose t*k - 12 = 3*d, 0 = -6*d + 5*d + 1. Factor -48/5*x + 0*x**2 + 48/5 + 12/5*x**k - 3/5*x**4.
-3*(x - 2)**3*(x + 2)/5
Let b(k) be the second derivative of 1/6*k**4 + 121*k**2 + 17*k + 22/3*k**3 + 0. Determine a, given that b(a) = 0.
-11
Solve 0*p + 12*p**2 - 8*p - 4*p**3 - 3*p + 2*p**3 + p**3 = 0.
0, 1, 11
Suppose -3*w - 4*a + 29 = 0, -4*w - a + 12 + 5 = 0. Let u be 4/1 - w - (-5)/35. Factor -2/7*c**3 - 4/7*c**2 + 2*c - u.
-2*(c - 1)**2*(c + 4)/7
Factor -n + 19*n**3 + 2 - 22*n**2 - 9*n**2 + 17*n**2 - 5*n**4 + 6*n - 7*n**2.
-(n - 2)*(n - 1)**2*(5*n + 1)
Let l = 1044 - 1041. Factor 0*f + 0 + 0*f**l + 2/13*f**5 + 2/13*f**4 + 0*f**2.
2*f**4*(f + 1)/13
Let p(a) = -a**4 + 12*a**2 - 7*a - 4. Let l = -10 - 4. Let x(m) = m**2 - m. Let d(u) = l*x(u) + 2*p(u). Determine c so that d(c) = 0.
-2, -1, 1, 2
Let j(l) be the third derivative of -l**8/84 - 2*l**7/35 - l**6/10 - l**5/15 - 131*l**2. Factor j(a).
-4*a**2*(a + 1)**3
Let n(l) = -2*l**2 - 65*l + 39. Let b be n(-33). Factor -b*t + 13/2*t**2 - 3*t**3 + 2 + 1/2*t**4.
(t - 2)**2*(t - 1)**2/2
Let s be ((-3)/(-12)*42)/((-6)/(-8)). Let x be (-1)/2*(-12)/s. Factor -1/7 - x*o - 3/7*o**2 - 1/7*o**3.
-(o + 1)**3/7
Suppose s + s = 4. Let -32*k**s + 33*k**2 - k**3 + k**4 - k**3 = 0. What is k?
0, 1
Suppose 4*n + 45 = 5*q + 55, 0 = -q - 4*n + 22. Determine h, given that -11/2*h + 2*h**q + 1/2*h**3 + 3 = 0.
-6, 1
Let f(q) be the first derivative of -80*q - 5/3*q**3 - 16 + 20*q**2. Solve f(h) = 0 for h.
4
Let l(r) be the first derivative of -r**6/540 - r**5/90 - r**4/54 - 9*r**2 + 27. Let k(v) be the second derivative of l(v). Factor k(z).
-2*z*(z + 1)*(z + 2)/9
Let b(y) be the second derivative of y**6/15 + y**5/2 + y**4/2 - 3*y**3 + 19*y. Let b(l) = 0. Calculate l.
-3, 0, 1
Suppose 5*g + 8 = 7*g. Let u(c) = c**3 - 5*c**2 + 5*c - 2. Let p be u(g). Factor -5*x - 10*x**4 + 3*x - 14*x**p + 0*x**4 - 18*x**3 - 2*x**5 - 2*x.
-2*x*(x + 1)**3*(x + 2)
Let j(v) = 11*v + 202. Let g be j(-18). Let z(b) be the second derivative of 5*b + 2/5*b**6 + 3/2*b**g - 27/20*b**5 + 0*b**2 - 1/2*b**3 + 0. Factor z(s).
3*s*(s - 1)**2*(4*s - 1)
Let h(o) be the first derivative of -16*o**6/3 - 224*o**5/5 - 175*o**4/2 - 146*o**3/3 + 11*o**2 + 10*o + 228. What is p in h(p) = 0?
-5, -1, -1/4, 1/4
Let j(g) be the second derivative of g**6/540 - 11*g**5/270 - 21*g**2 + 2*g - 1. Let t(v) be the first derivative of j(v). Factor t(l).
2*l**2*(l - 11)/9
Let v(c) be the first derivative of -c**4/4 - 2*c**3/3 + 2*c**2 + 3*c + 10. Let q be v(-3). Let 6/11*k**3 - 4/11*k + q + 6/11*k**2 - 4/11*k**4 = 0. What is k?
-1, 0, 1/2, 2
Let h(a) be the first derivative of -125*a**6/6 + 185*a**5/3 - 285*a**4/4 + 39*a**3 - 9*a**2 + 151. Determine q so that h(q) = 0.
0, 3/5, 2/3
Factor 0 - 7/8*g**2 - 3/4*g - 1/8*g**3.
-g*(g + 1)*(g + 6)/8
Let f = 6925 - 13843/2. Solve 3/2*j**3 - 17/6*j - f*j**2 - 1/2 = 0.
-1/3, 3
Let r(q) = q. Let c(x) = -9*x - 4*x**2 + 7*x + x**2. Let i(t) = -c(t) - 2*r(t). Factor i(u).
3*u**2
Let d(y) be the third derivative of y**6/2160 - y**5/180 + y**4/36 - 5*y**3/2 + 16*y**2. Let n(a) be the first derivative of d(a). Factor n(t).
(t - 2)**2/6
Let r(n) be the second derivative of -n**6/105 - 3*n**5/70 + n**4/7 + 8*n**3/21 - 7*n - 14. Factor r(i).
-2*i*(i - 2)*(i + 1)*(i + 4)/7
Suppose 4*b + j - 21 = 0, 3*b + 11*j = 8*j + 27. Let 80*p + 2*p**5 + 166*p**2 - 32 + 47/2*p**b + 98*p**3 = 0. What is p?
-4, -2, 1/4
Let -12/7*g**3 + 15/7*g + 0 - 57/7*g**2 = 0. Calculate g.
-5, 0, 1/4
Let y(l) be the first derivative of 3*l**4/32 + 10*l**3 + 5031*l**2/16 + 4563*l/4 - 255. Factor y(i).
3*(i + 2)*(i + 39)**2/8
Let -20/3 + 3*y - 1/3*y**2 = 0. What is y?
4, 5
Factor 8*v - 4*v**4 + v**2 + 11*v**2 - 7*v**4 + 7*v**4.
-4*v*(v - 2)*(v + 1)**2
Let k(t) be the second derivative of 40*t + 1/36*t**4 + 0 + 1/6*t**3 - 2/3*t**2. Solve k(l) = 0.
-4, 1
Let z(d) be the third derivative of -d**6/840 - 11*d**5/420 - 74*d**2. Determine i, given that z(i) = 0.
-11, 0
Let w(c) be the first derivative of c**3/7 - 45*c**2/7 - 93*c/7 + 372. Let w(s) = 0. Calculate s.
-1, 31
Let t(c) = 4*c**2 + 12*c + 64. Suppose -7*v - 5 - 2 = 0. Let i(z) = -z. Let n(s) = v*t(s) + 20*i(s). Determine o, given that n(o) = 0.
-4
What is f in 176/7*f - 3872/7 - 2/7*f**2 = 0?
44
Suppose 0 = -2*o - 0*o + 5*u + 1, o = 4*u - 4. Let 34*a**3 - 12*a**3 - o*a**2 - 18*a**3 + 4*a = 0. Calculate a.
0, 1
Let y(v) be the second derivative of -v**6/80 - v**5/5 - v**4 - 19*v**2/2 + 33*v. Let z(i) be the first derivative of y(i). Factor z(p).
-3*p*(p + 4)**2/2
Let u(o) = -3*o**2 - 6*o + 3. Let z(k) = 14*k - 7 - 2*k + 6*k**2 - k. Let l(s) = 5*u(s) + 3*z(s). Factor l(c).
3*(c - 1)*(c + 2)
Let q(u) be the third derivative of -26*u**2 + 0 - 1/45*u**5 + 0*u + 2/9*u**3 - 1/180*u**6 + 1/36*u**4. Suppose q(b) = 0. Calculate b.
-2, -1, 1
Let r(w) be the first derivative of -w**5/5 - w**4/4 + 7*w**3/3 + 13*w**2/2 + 6*w + 21. Factor r(z).
-(z - 3)*(z + 1)**2*(z + 2)
Let f(n) be the third derivative of n**7/525 - n**6/75 + n**5/30 - n**4/30 - 258*n**2. Suppose f(s) = 0. Calculate s.
0, 1, 2
Let j(x) be the second derivative of -x**4/90 - x**3/5 - 14*x**2/15 - 3*x - 10. What is b in j(b) = 0?
-7, -2
Let n(t) = -115*t**3 - 685*t**2 - 530*t - 180. Let j(c) = -13*c**3 - 76*c**2 - 59*c - 20. Let l(a) = -55*j(a) + 6*n(a). Factor l(d).
5*(d + 1)**2*(5*d + 4)
Let r be (-64)/(-64) + (2 - (-36)/(-28)). Factor r*n + 2/7*n**2 - 2.
2*(n - 1)*(n + 7)/7
Let m be 6091/63 - (-4 - (-136)/36). Let l = -289/3 + m. Solve -2/7*f**3 + l + 8/7*f**2 - 10/7*f = 0.
1, 2
Suppose -4*l - 12 = -4*c, 6*c - 24 = 4*c - 4*l. Suppose c*v = 5*v + 3. Let -p + 6 + v*p - 15*p**2 - 11*p = 0. What is p?
-1, 2/5
Let h(a) = 9 - 4*a - a**2 + 3*a + 3*a**2 - 2. Let n be h(5). Factor 14*f**4 + n*f**3 + 8*f - 4 - 8 + 69*f**2 - 15*f**2 + 4.
2*(f + 1)**2*(f + 2)*(7*f - 2)
Factor 62*o + 1/2*o**2 + 1922.
(o + 62)**2/2
Let c(j) be the first derivative of -j**6/12 - j**5/2 - 7*j**4/8 + j**3/6 + 2*j**2 + 2*j - 273. Find i such that c(i) = 0.
-2, -1, 1
Factor -6/11*x**2 + 126/11*x - 324/11.
-6*(x - 18)*(x - 3)/11
Let m(v) be the second derivative of -v**7/63 - v**6/15 + v**5/30 + 11*v**4/18 + 4*v**3/3 + 4*v**2/3 - 66*v. Determine j so that m(j) = 0.
-2, -1, 2
Let c(k) = -k - 2. Let l(a) = -5*a**2 - 11*a + 138. Let s(b) = 6*c(b) - l(b). Factor s(q).
5*(q - 5)*(q + 6)
Let d be ((-29)/(-9) - 2/9)*(-1630)/(-978). Find b, given that 2/5 + 4*b**3 + 2*b**4 + 4*b**2 + 2/5*b**d + 2*b = 0.
-1
Let k(z) be the first derivative of -z**4/30 + 2*z**3/15 + 3*z**2/5 + 2*z/3 - 198. Solve k(v) = 0.
-1, 5
Let w = 24964/3 - 8321. Factor 0 + l**3 - w*l**4 + 1/3*l - l**2.
-l*(l - 1)**3/3
Let x = -433 - -6499/15. Suppose 0*q**4 + 2/15*q**5 + 0*q**2 - x*q**3 + 0 + 2/15*q = 0. What is q?
-1, 0, 1
Factor -4/3*r**2 + 8/3*r + 0.
-4*r*(r - 2)/3
Let k(i) be the first derivative of -3*i**4/32 + 23*i**3/4 + 285*i**2/16 + 18*i - 72. Factor k(m).
-3*(m - 48)*(m + 1)**2/8
Let h = 19860/17 + -1168. Factor h*s - 2/17*s**2 + 6/17.
-2*(s - 3)*(s + 1)/17
Suppose -8*z + 432 = -16*z. Let i be (-3)/18*-3*(-24)/z. Factor 2/9 + i*g**4 + 0*g**3 + 0*g - 4/9*g**2.
2*(g - 1)**2*(g + 1)**2/9
Let u be (10 + (-1550)/160)*18/15. Factor 3/4*c**2 + 3/8*c + 0 + u*c**3.
3*c*(c + 1)*