 - 2)*(p + 1)**2
Factor 38003*h**3 - 2*h + h**4 - 38032*h**3 + 80*h**2 + 0 - 50*h + 0.
h*(h - 26)*(h - 2)*(h - 1)
Let a(w) be the third derivative of 1/504*w**8 + 0*w**5 + w**2 + 0*w**7 + 1/36*w**4 + 0*w**3 - 1/90*w**6 + 0*w + 0. What is r in a(r) = 0?
-1, 0, 1
Let r(k) = -31*k - 3. Let d be r(-1). Suppose -d - 41 = -23*c. Factor 0 + 2/7*j**c - 2/7*j**2 + 0*j + 10/7*j**4 + 6/7*j**5.
2*j**2*(j + 1)**2*(3*j - 1)/7
Let m(x) be the third derivative of -x**9/60480 + x**8/20160 + 19*x**5/60 + 8*x**2. Let t(k) be the third derivative of m(k). Factor t(o).
-o**2*(o - 1)
Let d(o) = -15*o - 300. Let b be d(-20). Suppose 1/4*g**3 - 3/4*g + b*g**2 - 1/2 = 0. Calculate g.
-1, 2
Let k(f) = 20*f**4 - 58*f**3 + 66*f**2 - 30*f + 6. Let z = 327 + -326. Let n(g) = -g**4 - 2 - 4 + 5. Let y(a) = z*k(a) + 2*n(a). Determine i so that y(i) = 0.
2/9, 1
Let z be -3 + -13*(-4)/2. Suppose t - g = 5, 5*t - t - z = 5*g. Find r, given that 3*r**5 - 4*r**2 + 2*r**t - 4*r**4 + 6*r**2 - r**3 - r**3 - r = 0.
-1, 0, 1/3, 1
Let x(b) be the third derivative of -b**8/210 + b**7/75 - b**6/150 - b**5/150 + 71*b**2. Factor x(z).
-2*z**2*(z - 1)**2*(4*z + 1)/5
Suppose 4*q - 20 = -4*y, 4*q + 7 = -6*y + 11*y. Factor 1/8*o**4 - 1/8*o**q + 1/4*o - 1/4*o**3 + 0.
o*(o - 2)*(o - 1)*(o + 1)/8
Suppose 3*g + 3 - 27 = 2*j, -5*j + 2*g - 38 = 0. Let x be j/8*5 - -4. Let -1/4*h**4 + 0 - 1/4*h**5 + 0*h + 1/4*h**2 + x*h**3 = 0. Calculate h.
-1, 0, 1
Let v be (-1)/(-1) - (-2)/(4/6). Suppose 20 - 13*z + v*z - 5*z**2 - 6*z = 0. Calculate z.
-4, 1
Let z be 2 + 0 + 4 + 3. Suppose z = -3*d, -2*d + 36 = -q + 4*q. Factor -q*r + 14*r + 2*r**4 + 6*r**4 + 4*r**5.
4*r**4*(r + 2)
Let o = -2/9727 - -87547/19454. Factor -o*i**3 - 3/4*i**4 - 15/2*i - 9/4 - 9*i**2.
-3*(i + 1)**3*(i + 3)/4
Determine l, given that -96*l - 2/9*l**4 - 96 - 32*l**2 - 40/9*l**3 = 0.
-6, -2
Let h(w) be the first derivative of 1/24*w**4 + 1/2*w - 5/12*w**2 + 1/18*w**3 - 2. Factor h(n).
(n - 1)**2*(n + 3)/6
Let l(p) = 9*p - 3. Let d(q) = -q**2 + 1. Let s = -10 + 12. Suppose 5 = -3*z - 4*a, -s*z - a = 3*z - 3. Let f(r) = z*l(r) + 3*d(r). Factor f(o).
-3*o*(o - 3)
Let p(o) be the first derivative of 13 - 16*o**2 + 12*o + 20/3*o**3. Determine n, given that p(n) = 0.
3/5, 1
Factor -4*q**2 - 59 + 106 - 62 + 19*q**2 + 5*q**3 - 5*q.
5*(q - 1)*(q + 1)*(q + 3)
Let w = 4254 - 4252. Let 1/4*z**4 - 2 + 3/2*z**w + z - 5/4*z**3 = 0. What is z?
-1, 2
Let t = 2147/10 - 1061/5. Factor t*k + 25/4 + 1/4*k**2.
(k + 5)**2/4
Let t = -1693227 - -951594419/562. Let y = -1/281 + t. Find z, given that -y*z**2 + 5/4*z**4 + 1/4 + 1/2*z**3 + 1/4*z - 3/4*z**5 = 0.
-1, -1/3, 1
Let w be (16/3)/((-16)/(-48)). What is a in -w - 10*a + a**2 - 35 + 40 = 0?
-1, 11
Let g = -19 + 21. Factor -5*k - 3*k - 4*k**g + 3 + 6*k**3 + 2*k**3 + 1.
4*(k - 1)*(k + 1)*(2*k - 1)
Let v = -3 + 6. Let z = v + 1. Suppose 2*i**4 + i**3 + i**2 - 3*i**4 - 16*i**5 - 15*i**z = 0. Calculate i.
-1, -1/4, 0, 1/4
Suppose 59*n - 99 = 26*n. Let x(o) be the third derivative of -1/9*o**n + 0*o + 0 + 1/90*o**5 - 1/180*o**6 + 9*o**2 + 1/36*o**4. What is t in x(t) = 0?
-1, 1
Let o(k) be the first derivative of 1/12*k**4 + 1/15*k**5 - 2/9*k**3 + 9 + 0*k**2 + 0*k. Suppose o(d) = 0. Calculate d.
-2, 0, 1
Suppose -17*v = 13 - 81. Let y(r) be the third derivative of 2*r**2 + 0*r**6 + 0*r**v + 0*r**3 + 0 - 1/735*r**7 + 0*r + 1/210*r**5. Factor y(c).
-2*c**2*(c - 1)*(c + 1)/7
Let d(q) be the second derivative of -25*q**7/42 - 13*q**6/6 - 9*q**5/4 + 5*q**4/12 + 5*q**3/3 - 220*q. Let d(i) = 0. What is i?
-1, 0, 2/5
Let u(s) = 5*s**4 - 40*s**2 - 55*s - 15. Let n(m) = m**3 + m**2 + 1. Let w = -46 - -47. Let d(k) = w*u(k) - 5*n(k). Let d(h) = 0. Calculate h.
-1, 4
Let l be (96/40 - 4)/((-28)/14). Factor -l*a - 2/5*a**2 + 8/5 + 1/5*a**3.
(a - 2)**2*(a + 2)/5
Let k = 993 - 39719/40. Let t(o) be the third derivative of -1/40*o**6 + o**2 + 3/32*o**4 + 1/448*o**8 + 0 + 0*o + 0*o**7 + 1/4*o**3 - k*o**5. Factor t(j).
3*(j - 2)*(j - 1)*(j + 1)**3/4
Let m(w) be the third derivative of w**7/42 - 8*w**6/3 + 256*w**5/3 - 5*w**2 + 15*w. Solve m(j) = 0.
0, 32
Let x be 671/44 + (-2)/8. Factor 30*g**2 + 5*g**2 - 50*g**3 - x + 20*g - 5 + 15*g**4.
5*(g - 2)*(g - 1)**2*(3*g + 2)
Let c(h) be the second derivative of -h**4/6 - 70*h**3/3 - 1225*h**2 + 8*h - 8. Factor c(t).
-2*(t + 35)**2
Determine t so that 21/5*t - 21/5*t**3 + 0 + 3/5*t**2 - 3/5*t**4 = 0.
-7, -1, 0, 1
Let r = -12340 - -12342. Find o such that -15/2*o**3 - 6*o**r - 2*o**4 + 0 + 2*o = 0.
-2, 0, 1/4
Let c(f) be the first derivative of 5 + 9/2*f**4 - 2/5*f**5 - 20*f - 50/3*f**3 + 27*f**2. Let c(n) = 0. Calculate n.
1, 2, 5
Let a = -1 + 7. Let u = 10 + -7. Solve v - a*v**2 + 5*v**3 - 10*v**4 + 7*v**u + 3*v**5 + 0*v**5 = 0.
0, 1/3, 1
Let g(a) be the third derivative of 2*a**5/5 - 19*a**4/8 + 3*a**3 - 294*a**2. Find b such that g(b) = 0.
3/8, 2
Factor -16/5*g**2 + 26/5*g + 2/5*g**3 - 12/5.
2*(g - 6)*(g - 1)**2/5
Suppose 2*n - 8 = 2*b, 0 = 4*n - 7*n + b + 8. Factor -6*o + 2 + 4*o**3 - 9*o**2 + 22*o**n + 2*o**5 - 9*o**2 - 6*o**4.
2*(o - 1)**4*(o + 1)
Factor -16*o**2 + 20*o + 153*o**3 - 32 - 151*o**3 + 20*o.
2*(o - 4)*(o - 2)**2
Let o(j) be the second derivative of -3*j**5/20 - j**4/4 + 5*j**3 - 12*j**2 + 15*j + 3. Determine v, given that o(v) = 0.
-4, 1, 2
Let i(r) be the first derivative of r**8/840 + r**7/210 - r**5/30 - r**4/12 - 8*r**3 - 32. Let n(m) be the third derivative of i(m). Let n(v) = 0. Calculate v.
-1, 1
Let h(p) be the third derivative of -25*p**2 + 0*p**3 + 0*p**4 + 7/60*p**5 + 1/120*p**6 + 0*p + 0. Factor h(t).
t**2*(t + 7)
Let m(w) be the second derivative of -3*w**5/20 - 5*w**4/2 - 9*w**3/2 + 407*w. Factor m(q).
-3*q*(q + 1)*(q + 9)
Let y(g) be the third derivative of g**5/6 - 37*g**4/6 - 5*g**3 + 13*g**2 + 4. Determine v so that y(v) = 0.
-1/5, 15
Let g(c) be the third derivative of c**7/70 + 9*c**6/20 - c**5 - 9*c**4/4 + 19*c**3/2 - 34*c**2. Factor g(s).
3*(s - 1)**2*(s + 1)*(s + 19)
Suppose 5*u - 12*u + 49 = 0. Suppose u*g - 1 = -1. Determine y, given that -8/7*y**4 - 18/7*y**3 - 2/7*y + g - 12/7*y**2 = 0.
-1, -1/4, 0
Determine r so that 1/2*r**4 - 8/3*r**3 - 91/6*r**2 - 38/3*r + 6 = 0.
-2, 1/3, 9
Let a(p) be the third derivative of -p**7/42 + p**6/4 - 3*p**5/4 + 5*p**4/6 - 114*p**2. Factor a(c).
-5*c*(c - 4)*(c - 1)**2
Suppose 0 = -h + 5*c + 12, 6 = 4*c - 2*c. Let x be 90/h + 1/(-3). Let 12*n**2 + 4 - 33*n + 2 + 3*n**3 + 12*n**x = 0. What is n?
-2, 1/5, 1
Let w(r) be the first derivative of -4*r**3 - 3*r**2/2 + 9*r + 12. Let w(s) = 0. What is s?
-1, 3/4
Factor -8/7*q**2 + 4/7*q**3 + 4/7*q**4 + 0*q + 0.
4*q**2*(q - 1)*(q + 2)/7
Solve -2*w**5 + 0*w**5 + 10*w**3 - 13*w + 2*w**3 - 2*w**3 + 5*w = 0 for w.
-2, -1, 0, 1, 2
Suppose 0 = 4*x - 3*c - 9, 11*x - 2*c = 8*x + 7. Factor -3/8*a**5 + 0 + 0*a**2 - 3/4*a**4 + 0*a - 3/8*a**x.
-3*a**3*(a + 1)**2/8
Let j(w) be the first derivative of -2*w**6/3 + 24*w**5/5 - 10*w**4 + 22*w**2 - 24*w + 435. Let j(b) = 0. What is b?
-1, 1, 2, 3
Let f be ((-5)/5)/((91/28)/(-13)). Let w(x) be the third derivative of 0*x**5 + 0*x**3 + 1/180*x**6 + 0*x + 1/945*x**7 - 1/27*x**f + 0 - 6*x**2. Factor w(b).
2*b*(b - 1)*(b + 2)**2/9
Let z(o) be the second derivative of o**7/126 - 2*o**6/15 + 41*o**5/60 - o**4/18 - 10*o**3 + 100*o**2/3 - 6*o - 7. Find p such that z(p) = 0.
-2, 2, 5
Let y be -3 - (-2)/(4/54). Suppose 2*z + 5*b = y, z = -4*z - b + 14. Factor -2*u - 4*u**z + 3*u + u**2 + 5*u.
-3*u*(u - 2)
Let k(u) be the second derivative of 0 - 19*u + 3/28*u**4 - 9/7*u**2 + 1/2*u**3. Let k(x) = 0. Calculate x.
-3, 2/3
Let j(p) be the first derivative of -p**4/24 + p**3/3 - 3*p**2/4 - 38*p + 34. Let x(n) be the first derivative of j(n). Factor x(s).
-(s - 3)*(s - 1)/2
Let m(w) be the third derivative of -w**7/840 - w**6/180 + w**3/3 + 17*w**2. Let l(b) be the first derivative of m(b). Factor l(s).
-s**2*(s + 2)
Let o(x) = 16*x**4 - 6*x**3 + 8*x**2 - 18*x. Let h(i) = 35*i**4 - 13*i**3 + 15*i**2 - 37*i. Let j(t) = 6*h(t) - 13*o(t). Suppose j(w) = 0. Calculate w.
-3, 0, 1, 2
Let c(q) = 2*q**2 + q + 7. Let i(j) = -6*j**2 - 2*j - 22. Let y(o) = -16*c(o) - 5*i(o). Let g be y(-2). Solve 5/2*m - 1/2*m**5 - 2*m**3 + 1 - g*m**4 + m**2 = 0.
-2, -1, 1
Let n(d) = -d**3 - 6*d**2 + 2. Let x be n(-6). Determine l, given that -45*l + 45*l**3 + 8*l**x + 13*l**2 - 35*l