*2 = 0. What is w?
-13
Factor -27*h**2 + 8*h**2 + 5*h**2 - 13*h**3 - 23*h**2 + 7*h - h.
-h*(h + 3)*(13*h - 2)
Let m(l) = l**4 - l**3 + l**2 - 4*l + 1. Let s(g) = 8*g**4 - 8*g**3 - 20*g**2 - 22*g + 30. Let k(c) = -6*m(c) + s(c). Find y, given that k(y) = 0.
-3, -1, 1, 4
Let a(c) = 3*c**3 + 12*c**2 + 9*c. Let p(q) = 6*q**3 + 24*q**2 + 18*q. Let z(j) = -5*a(j) + 3*p(j). Factor z(f).
3*f*(f + 1)*(f + 3)
Let d(t) be the second derivative of -t**8/3780 - t**7/945 + t**6/810 + t**5/135 + 7*t**3/6 - 8*t. Let v(p) be the second derivative of d(p). Factor v(f).
-4*f*(f - 1)*(f + 1)*(f + 2)/9
Suppose 0*c = c - 1, -b = 5*c - 15. Suppose -15*r - b*r + 4*r**2 + 100 - r - 14*r = 0. Calculate r.
5
Let s(g) be the first derivative of 2*g**3/15 - 6*g**2/5 + 2*g + 60. Factor s(b).
2*(b - 5)*(b - 1)/5
Let o = 13 - 16. Let f = o - -6. Factor -4 + f - 5 - 3*v**2 + 9*v.
-3*(v - 2)*(v - 1)
Let c be (60 + 260)/(-40) + ((-120)/7)/(-2). Factor 0 + c*q**2 + 0*q**3 - 2/7*q**5 - 4/7*q**4 + 2/7*q.
-2*q*(q - 1)*(q + 1)**3/7
Let m(p) = p**3 + 4*p**2 - 32*p - 10. Let q(z) = -z**3 - 5*z**2 + 35*z + 9. Let x(y) = 6*m(y) + 5*q(y). Find k, given that x(k) = 0.
-3, -1, 5
What is t in -9295*t**2 + 5*t**3 - 15*t - 10 + 9295*t**2 = 0?
-1, 2
Let v(f) be the first derivative of f**5/50 + 4*f**4/5 + 64*f**3/5 + 512*f**2/5 + 34*f - 19. Let b(z) be the first derivative of v(z). What is q in b(q) = 0?
-8
Let k(m) be the second derivative of 3/10*m**5 + 0 - 11*m + 4/15*m**6 + 0*m**2 + 0*m**3 + 0*m**4. Find t, given that k(t) = 0.
-3/4, 0
Let m(g) be the first derivative of -5*g**6/6 - 4*g**5 + 15*g**4/2 + 160*g**3/3 + 175*g**2/2 + 60*g - 66. Factor m(p).
-5*(p - 3)*(p + 1)**3*(p + 4)
Suppose 356 = 4*g - 32. Let l = g + -676/7. Find f, given that 0 - l*f**3 + 6/7*f**2 + 0*f = 0.
0, 2
Suppose -4*c - 2*w + 10 = -5*w, 4*w + 6 = -2*c. Let h = 6 - c. Factor h + 4*n + 0*n - 8*n + 2*n**2 - 3.
2*(n - 1)**2
Let u(r) = -3*r**3 + 10*r**2 + 16*r + 3. Let n(z) = -2*z**3 + 10*z**2 + 16*z + 4. Let m(d) = 5*n(d) - 4*u(d). Factor m(l).
2*(l + 1)*(l + 2)**2
Factor 5*n**5 - 43*n - 17*n - 73*n**2 - 80*n**2 + 21*n**2 - 8*n**2 - 10*n**4 - 95*n**3.
5*n*(n - 6)*(n + 1)**2*(n + 2)
Let q be 32/(-24)*(-6)/32. Let u be 2 + (-4)/(-4) - 1. Suppose -1/2*s - q - 1/4*s**u = 0. What is s?
-1
Let y = 309/368 - 7/1104. Find l such that y*l**4 + 0 - 35/6*l**3 - 25/6*l + 55/6*l**2 = 0.
0, 1, 5
What is q in 1/2*q**2 - 4*q + 8 = 0?
4
Let w(d) be the second derivative of -d**4/15 + 11*d**3/10 - 4*d**2/5 + 37*d. What is q in w(q) = 0?
1/4, 8
Suppose 16 = 2*s - 4*p, 0 = -2*s + 5*p + 19 - 0. Let c be (3/s)/(429/52). Let -c - 2/11*k**2 + 4/11*k = 0. Calculate k.
1
Let a(t) be the third derivative of -t**5/80 + 3*t**4/32 + t**2 + 76*t. Factor a(o).
-3*o*(o - 3)/4
Let j(t) = -7*t**5 - 9*t**4 + 5*t**3 - t**2 + 7*t + 5. Let c(v) = -6*v**5 - 8*v**4 + 4*v**3 + 6*v + 4. Let u(b) = 5*c(b) - 4*j(b). Factor u(a).
-2*a*(a - 1)*(a + 1)**3
Let w(i) = 23*i**3 + 128*i**2 + 190*i + 43. Let h(g) = -275*g**3 - 1535*g**2 - 2280*g - 515. Let s(d) = -3*h(d) - 35*w(d). Suppose s(c) = 0. Calculate c.
-4, -2, -1/4
Let v be (12/(-15))/(2/(-10)). Let o(q) be the first derivative of 0*q**3 - 2/15*q**5 + 2/3*q - 2/3*q**2 + 3 + 1/3*q**v. Find r, given that o(r) = 0.
-1, 1
Suppose -6 + 12 = 2*o. Let a(p) = -p**3 + 4*p**2 - p - 4. Let h be a(o). Find z, given that 0 + 1/3*z**3 + 0*z + 2/3*z**h = 0.
-2, 0
Let l(z) = z**3 - 10*z**2 + 13*z - 12. Let u be l(9). Let r = 44 - u. Factor -2 + 2*j**3 - 3*j + j + r*j**2 - 18*j**2.
2*(j - 1)*(j + 1)**2
Let w(p) be the second derivative of -p**7/1890 - 2*p**6/45 - 8*p**5/5 - 19*p**4/6 + 40*p + 2. Let q(v) be the third derivative of w(v). Factor q(n).
-4*(n + 12)**2/3
Let k be (-4)/(-30) - (-1467)/135. Let w(n) = -n + 13. Let q be w(k). Let -2/7*l**5 + 0*l**q + 0*l + 2/7*l**3 + 0 + 0*l**4 = 0. Calculate l.
-1, 0, 1
Let j(v) be the third derivative of v**6/96 + 17*v**5/48 + 105*v**4/32 - 135*v**3/8 - 8*v**2 + 8*v. Factor j(z).
5*(z - 1)*(z + 9)**2/4
Let g(d) be the first derivative of -d**2/2 + 5*d - 6. Let i be g(-4). Find f such that 4*f**4 - f + i - 3*f**2 - f**4 + 5*f**3 - 9 - 4*f**5 = 0.
-1, -1/4, 0, 1
Let n = -17915/12 + 1493. Let y(g) be the second derivative of 0 + 2*g + 1/6*g**3 - n*g**4 + 1/80*g**5 + 0*g**2. Suppose y(r) = 0. Calculate r.
0, 2
Let n(c) be the first derivative of -c**5/15 + c**4/6 + 8*c**2 - 13. Let u(k) be the second derivative of n(k). Factor u(o).
-4*o*(o - 1)
Let r(j) = -38*j**2 - j. Let x be r(-1). Let w = 41 + x. Determine u, given that -3/2*u + 1 - 1/2*u**w - 1/2*u**2 + 3/2*u**3 = 0.
-1, 1, 2
Let x(f) be the first derivative of -f**4 - 16*f**3/3 + 64*f**2 - 66. Factor x(v).
-4*v*(v - 4)*(v + 8)
Let b = -213 + 210. Let g be b/90 + ((-26)/(-5) - 5). Determine p so that 0 + g*p - 1/6*p**3 + 1/6*p**4 - 1/6*p**2 = 0.
-1, 0, 1
Let x(m) be the third derivative of -5*m**8/336 + m**7/21 + m**6/12 - 2*m**5/3 + 35*m**4/24 - 5*m**3/3 + 30*m**2. Factor x(k).
-5*(k - 1)**4*(k + 2)
Factor -3*k**3 + 7*k**3 - 4*k + 1094 + 743 - 2689 + 852*k**2.
4*(k - 1)*(k + 1)*(k + 213)
Let w(m) be the second derivative of -m**7/6300 + m**6/600 - m**4/4 + 11*m. Let q(n) be the third derivative of w(n). Factor q(k).
-2*k*(k - 3)/5
Factor -11*o - 2*o**4 + o**4 - 82 + 3*o**3 + 3*o**2 + 88.
-(o - 3)*(o - 1)**2*(o + 2)
Let q(a) be the third derivative of 1/150*a**6 - 1/1050*a**7 - 1/100*a**5 + 0 - 2*a**2 - 1/30*a**4 + 0*a + 2/15*a**3. Factor q(u).
-(u - 2)**2*(u - 1)*(u + 1)/5
Let l(y) be the first derivative of -y**7/210 + 2*y**5/5 - 8*y**4/3 + 13*y**3/3 + 4. Let c(f) be the third derivative of l(f). Suppose c(q) = 0. Calculate q.
-4, 2
Let s(z) be the second derivative of 1/15*z**5 + 1/3*z**2 + 5/18*z**4 - z + 4/9*z**3 + 0. Suppose s(d) = 0. What is d?
-1, -1/2
Suppose -4 = -4*i + 4. Suppose 0*m - m = -i. Factor 0*j**2 - 2*j**3 - 2*j**m + j**3 + j**4.
j**2*(j - 2)*(j + 1)
Let f(z) be the third derivative of z**7/18900 - z**6/5400 + 4*z**4/3 - 2*z**2. Let s(o) be the second derivative of f(o). Suppose s(n) = 0. Calculate n.
0, 1
Suppose 30*z + 14 = 224. Let v(o) be the first derivative of 2/3*o + 22/9*o**3 + 5/6*o**4 + 7/3*o**2 - z. Factor v(f).
2*(f + 1)**2*(5*f + 1)/3
Let q(f) be the second derivative of f**3/2 + 17*f**2/2 + 28*f. Let u be q(-5). Determine g so that 0 + 0*g + 2/7*g**u + 0*g**3 - 2/7*g**4 = 0.
-1, 0, 1
Let q(h) be the third derivative of -h**9/52920 + h**7/8820 - 5*h**4/8 - 12*h**2. Let c(t) be the second derivative of q(t). Find v, given that c(v) = 0.
-1, 0, 1
Suppose -2*o = -6*o + 12. Find h, given that -140*h**4 - 92*h**3 + 140*h**2 - 153*h**o + 245*h**5 - 55*h**3 - 20*h + 75*h**3 = 0.
-1, 0, 2/7, 1
Let o be (-21)/12 - (-405)/108. Factor 1/4*j + 0 + 13/8*j**o.
j*(13*j + 2)/8
Let j(v) be the first derivative of 3/20*v**5 - 1/2*v**3 + 0*v**4 + 1/20*v**6 - 9 - 7*v - 3/4*v**2. Let d(o) be the first derivative of j(o). Factor d(i).
3*(i - 1)*(i + 1)**3/2
Let -102 - 147*h - 26*h**3 - 42*h**2 - 24*h**3 - 22*h**3 + 75*h**3 = 0. What is h?
-2, -1, 17
Factor -4*f**2 + 2*f**3 + 26*f**2 - 82*f**2 - 67*f**2 - 29*f**2.
2*f**2*(f - 78)
Let l(c) be the second derivative of 2*c**2 - 12*c + 0 - 1/5*c**5 + c**4 - 2*c**3. Solve l(y) = 0.
1
Let g be (-1*(0 + -1))/((-10)/(-160)). Factor 100 - g*z - 29*z + 4*z**2 + 5*z.
4*(z - 5)**2
Factor -195/2*k + 12675/4 + 3/4*k**2.
3*(k - 65)**2/4
Let t(f) be the first derivative of f**5/120 + f**4/48 - f**3/6 + 7*f**2/2 - 8. Let x(a) be the second derivative of t(a). Find g such that x(g) = 0.
-2, 1
Let b(o) = 2*o**3 + o**2 - o. Let z(n) = -5*n**3 + 85*n**2 + 110*n + 20. Let y(c) = 25*b(c) + z(c). Factor y(r).
5*(r + 1)**2*(9*r + 4)
Let o(n) = 316*n**2 + 96*n + 1. Let c(w) = 631*w**2 + 196*w + 1. Let z(d) = -4*c(d) + 9*o(d). Factor z(i).
5*(8*i + 1)**2
Let d(p) be the second derivative of -13*p**6/40 - 237*p**5/80 - 81*p**4/8 - 29*p**3/2 - 3*p**2 + 612*p. Suppose d(z) = 0. Calculate z.
-2, -1/13
Let i(y) = -y**2 - 4*y + 12. Let b = 13 + -19. Let w be i(b). Determine p so that 5*p**4 - 8*p**4 + 6*p**3 - 3*p**2 + 0*p**4 + w*p**4 = 0.
0, 1
Suppose -2*j = -6 - 0. Suppose -5 - j = -2*o + 2*f, 2*o - 5*f = 20. Factor -4/7*k**2 + o + 0*k + 6/7*k**3.
2*k**2*(3*k - 2)/7
Let t(v) be the first derivative of -1/4*v**2 - 1/8*v**4 - 6 + 1/3*v**3 + 0*v. Factor t(l).
-l*(l - 1)**2/2
Let a(s) be the second d