3*(c - 1)
Let j be -3 - 4 - 1612/(-217). Factor -18/7*u**3 - 12/7*u**5 + 27/7*u**4 + 0 + 0*u + j*u**2.
-3*u**2*(u - 1)**2*(4*u - 1)/7
Let u(i) be the first derivative of i**3/15 - 119*i**2/5 + 14161*i/5 - 72. Solve u(a) = 0.
119
Let w be 72/(-120) + 9*6/90. Solve 0 + w*h - 4/5*h**5 - 4*h**4 - 32/5*h**3 - 16/5*h**2 = 0.
-2, -1, 0
Let b(h) = -8*h**3 - 23*h**2 - 21*h + 11. Let k(i) = 4*i**3 + 12*i**2 + 10*i - 6. Let c be 6 + -9 - (-1)/1. Let r(p) = c*b(p) - 5*k(p). Factor r(j).
-2*(j + 2)**2*(2*j - 1)
Let s(t) be the first derivative of 2*t**5/5 - 2*t**3 + 2*t**2 - 441. Let s(v) = 0. Calculate v.
-2, 0, 1
Let c(d) be the second derivative of d**5/20 + 5*d**4/12 + d**3/3 - 3*d**2/2 + 8*d. Let i be c(-3). Factor -17*u**3 + i*u**3 - u**2 + 6*u**3.
-u**2*(2*u + 1)
Suppose -3*g + 43 = 5*u, u - 7 = -2. Factor -30*k**4 + 12*k**4 + g*k**3 - 21*k**5 + 33*k**4.
-3*k**3*(k - 1)*(7*k + 2)
Let s = 86/165 + -4/33. Let y(q) = -q**3 + 6*q**2 - 5*q - 9. Let r be y(4). Suppose 2/5*a**r - 2/5*a - 2/5*a**2 + s = 0. Calculate a.
-1, 1
Let o be 20/10*((-2619)/(-78) + 0). Let q = o - 67. Find c such that q*c - 2/13*c**2 + 0 = 0.
0, 1
Let z be (30/(-2)*15/((-1275)/(-34)))/(-3). Factor -152/3*n + 8/3 + 722/3*n**z.
2*(19*n - 2)**2/3
Let d(u) = 9*u - 18. Let t be d(2). Let k(z) = -2*z**2 - z. Let r be k(t). Factor r + 5/4*g**4 - 1/2*g + 1/4*g**2 + 2*g**3.
g*(g + 1)**2*(5*g - 2)/4
Suppose 4970*m = 4953*m. Factor 0*u**2 + 1/3*u**5 + 2/3*u**4 + 1/3*u**3 + m + 0*u.
u**3*(u + 1)**2/3
Let m(g) be the third derivative of g**6/360 + 2*g**5/15 + 8*g**4/3 + 13*g**3/3 + 2*g**2. Let b(o) be the first derivative of m(o). Factor b(n).
(n + 8)**2
Let w(n) be the second derivative of -5/24*n**4 + 5/18*n**3 + 0*n**2 - 5/24*n**5 + 0 + 12*n. Suppose w(i) = 0. What is i?
-1, 0, 2/5
Let m(z) be the first derivative of -3*z**4/4 - 8*z**3 - 33*z**2/2 + 60*z - 257. What is y in m(y) = 0?
-5, -4, 1
Factor 4/5*z**2 + 0 - 348/5*z.
4*z*(z - 87)/5
Let 19/4*a**2 + 37/8*a + 0 + 1/8*a**3 = 0. Calculate a.
-37, -1, 0
Let l(z) = z**3 + 3*z**2 - 6*z + 7. Let u be l(-4). Suppose 3*c = -5*o + 14, -o = -4*c - 4*o + u. Suppose -1/2*m**2 + 1/6*m**c + 1/2*m - 1/6 = 0. Calculate m.
1
Let k(n) be the third derivative of -n**5/15 + n**4/2 + 8*n**3/3 + 2*n**2 - 14. Factor k(g).
-4*(g - 4)*(g + 1)
Let x be 10*2/2 - 2/2. Let q(i) = 5*i**2 + 7*i - 12. Let r(l) = 2*l**2 + 4*l - 6. Let s(y) = x*r(y) - 4*q(y). Factor s(u).
-2*(u - 3)*(u - 1)
Suppose -39/5*g - 3/5*g**4 + 3*g**3 + 9/5*g**2 - 6 = 0. What is g?
-1, 2, 5
Suppose 0 = -5*x - 3*x + 16. Factor 3*m**2 - m**3 - 5*m + m - 15*m**3 - 23*m**x.
-4*m*(m + 1)*(4*m + 1)
Factor 28/9*v - 10/3 + 2/9*v**2.
2*(v - 1)*(v + 15)/9
Let y(m) be the first derivative of -2*m**3/7 - 16*m**2/7 + 24*m/7 - 404. Determine n, given that y(n) = 0.
-6, 2/3
Let u(h) be the second derivative of h**6/315 + 3*h**5/140 + h**4/42 + 8*h**3/3 + 11*h. Let r(x) be the second derivative of u(x). Factor r(k).
2*(k + 2)*(4*k + 1)/7
Let l(u) = u - 1. Let f(p) = -5*p**2 - 23*p - 17. Let i(d) = -f(d) - 3*l(d). Solve i(q) = 0.
-2
Let t be ((-6)/60*6)/(1/(-5)). Suppose 1/3*a**t + 0 + 1/3*a + 2/3*a**2 = 0. Calculate a.
-1, 0
Let n(k) be the second derivative of 0*k**2 + 0*k**3 + 5 + 1/180*k**5 - 1/18*k**4 - k. Factor n(x).
x**2*(x - 6)/9
Factor -6*l + 31/11*l**2 + 0 + 34/11*l**3 + 1/11*l**4.
l*(l - 1)*(l + 2)*(l + 33)/11
Let a be 16/(-5) - (-8)/40. Let s be a/(-2)*24/9. Find u, given that -98*u**2 - 6 - 56*u - s + 2 = 0.
-2/7
Suppose 3*r + 9 - 16 = t, 0 = -4*r + 5*t + 13. Factor 1/2*b**r - 3/4*b + 1/4.
(b - 1)*(2*b - 1)/4
Let z(h) = 3*h**2 - 101*h + 618. Let d be z(8). Factor 0 - 3/2*k**d + 0*k.
-3*k**2/2
Let q(y) be the third derivative of 0*y + 32/3*y**3 + 4/3*y**4 - 9*y**2 + 0 + 1/30*y**6 - 7/15*y**5. Factor q(z).
4*(z - 4)**2*(z + 1)
Let a = 16387/24585 - -1/8195. Factor 4/9 + 0*i**2 - a*i + 2/9*i**3.
2*(i - 1)**2*(i + 2)/9
Suppose -5*r - 10 = 0, 6*b = 8*b + 4*r - 2. Let t(h) be the first derivative of 1/3*h**3 + b + 0*h**2 + 0*h. Factor t(y).
y**2
Let p(g) be the first derivative of 0*g**3 + 1/26*g**4 + 4/13*g + 28 - 3/13*g**2. Factor p(f).
2*(f - 1)**2*(f + 2)/13
Let f = 1/56 + 107/280. Factor 1/5 + 0*i**2 - 1/5*i**4 + f*i**3 - 2/5*i.
-(i - 1)**3*(i + 1)/5
Let j(i) be the first derivative of i**5/5 - i**4 + i**3 + 87. Factor j(k).
k**2*(k - 3)*(k - 1)
Solve -375*t**3 + 220*t**2 - 33*t + 185*t**4 + 45*t**3 - 35*t**5 - 7*t = 0 for t.
0, 2/7, 1, 2
Suppose -3*r**2 + 9 + 16*r**3 - r**4 + 9*r**2 + 3*r**5 - r**4 - 13*r**4 + 2*r**3 - 21*r = 0. What is r?
-1, 1, 3
Let k = -400 - -1601/4. Let m(l) be the first derivative of 0*l + k*l**4 + 5 + 4/5*l**5 - 1/2*l**2 - 4/3*l**3. Determine p so that m(p) = 0.
-1, -1/4, 0, 1
Suppose 16*t = 25*t. Suppose -7*a + 1 = -9*a - 5*w, t = -2*w - 2. Let -1/3*m**2 - 5/3*m - a = 0. What is m?
-3, -2
Let g(k) be the first derivative of -9*k**3 + 191*k**2/2 - 14*k + 919. Factor g(t).
-(t - 7)*(27*t - 2)
Let y(m) be the third derivative of -1/24*m**3 + 1/240*m**5 + 0 + 0*m + 5/96*m**4 - 1/96*m**6 - 7*m**2. What is o in y(o) = 0?
-1, 1/5, 1
Let d = 71/1710 + 10/171. Let i(x) be the first derivative of 3/5*x**3 + 8 - 9/25*x**5 + 0*x - d*x**6 - 3/20*x**4 + 3/5*x**2. Determine a so that i(a) = 0.
-2, -1, 0, 1
Factor -2*f - 2*f**4 - 4*f**3 - 2/5*f**5 - 2/5 - 4*f**2.
-2*(f + 1)**5/5
Let n(p) = 12*p - 135. Let d be n(11). Let s be (102/(-30) + 3)/d. Find i, given that 4/15*i + s*i**2 - 2/5 = 0.
-3, 1
Let l(z) be the second derivative of -z**4/78 + 40*z**3/39 - 400*z**2/13 - 53*z. Factor l(h).
-2*(h - 20)**2/13
Let j(x) = -13*x**4 - 111*x**3 - 175*x**2 - 27*x. Let k(n) = 66*n**4 + 555*n**3 + 876*n**2 + 135*n. Let m(d) = 24*j(d) + 5*k(d). Factor m(t).
3*t*(t + 3)**2*(6*t + 1)
Let w = -69 + 74. Solve -4 + 7*i**2 - 3*i**2 + w*i + i**3 + 6 = 0 for i.
-2, -1
Let l be 1/4 + (-5)/(-28). Let u be 2 + (-17)/(-7) - 4. Solve 2/7 + u*q**3 - 1/7*q**2 - 1/7*q**4 - l*q = 0 for q.
-1, 1, 2
Let d(n) be the second derivative of -n**6/15 - n**5/10 + 49*n. Let d(z) = 0. What is z?
-1, 0
Find h, given that -6/5*h - 2/15*h**3 + 0 - 4/5*h**2 = 0.
-3, 0
Let i be 85/(-204)*(0 - (-40)/(-225)). Let c(v) be the first derivative of -10/9*v**2 + i*v**3 - 9 + 50/9*v. What is j in c(j) = 0?
5
Solve 0 + 1/5*r**4 + 2/5*r**3 - 2/5*r - 1/5*r**2 = 0 for r.
-2, -1, 0, 1
Let l(f) be the first derivative of -5*f**4/4 + 20*f**3/3 + 25*f**2/2 - 72. Find t such that l(t) = 0.
-1, 0, 5
Let o = -7/209 - -349/4180. Let j(g) be the third derivative of 0*g**4 + 1/60*g**6 + 2*g**2 + 0*g**3 + 0*g + 1/210*g**7 + 0 - o*g**5. Factor j(p).
p**2*(p - 1)*(p + 3)
Let b(d) = d**2 - 10*d + 33. Let o be b(14). Suppose 12 = 93*l - o*l. Factor -4/7*n**2 - 2/7*n + 0 - 2/7*n**l.
-2*n*(n + 1)**2/7
Let m(b) be the first derivative of -2*b**5/115 + 2*b**3/23 - 2*b**2/23 - 50. Find j such that m(j) = 0.
-2, 0, 1
Factor 21*i - 32*i**2 + 8*i**2 + 45*i**2 - 45 + 3*i**3.
3*(i - 1)*(i + 3)*(i + 5)
Let y(x) = 3*x - 16. Let g = 12 - 6. Let j be y(g). Determine v so that v**j - 3/2*v**3 + 0 + 0*v = 0.
0, 2/3
Suppose 2*j - 9 = -j - 5*n, -2*j - 3*n = -7. Let -j*l**3 - l**4 - 2*l**4 + 4*l**2 + 7*l**4 = 0. What is l?
0, 1
Let h(a) = -3*a**4 + 12*a**3 - 5*a**2 + 2*a - 2. Let k(b) = 65*b**4 - 265*b**3 + 110*b**2 - 45*b + 45. Let c(v) = 45*h(v) + 2*k(v). Factor c(r).
-5*r**2*(r - 1)**2
Let x(d) be the third derivative of d**8/12 - 10*d**7/7 + 136*d**6/15 - 392*d**5/15 + 24*d**4 + 160*d**3/3 - 210*d**2 + 1. Let x(k) = 0. What is k?
-2/7, 2, 5
Let p(u) = u**2 - 3*u - 3. Let o be p(-2). Let g = 29/4 - o. Find n, given that -1/2*n + 1/4*n**3 + 0 + g*n**2 = 0.
-2, 0, 1
Suppose 0 = -0*z + 2*z - 12. Let v be 2 + (-2)/(4/(-6)). Solve -6 - 54*d**2 - 18*d**4 + 0 - 42*d**3 + z*d**2 - 27*d - 3*d**v = 0 for d.
-2, -1
Let k(w) be the third derivative of 0*w + 0*w**3 - 7*w**2 - 1/12*w**5 + 1/120*w**6 + 0 + 0*w**4. Solve k(i) = 0.
0, 5
Let -3/8*g**2 + 45 + 87/4*g = 0. What is g?
-2, 60
Factor -544*i - 227*i - 27380 - 5*i**2 + 31*i.
-5*(i + 74)**2
Let o(s) be the second derivative of 5*s**4/16 - 133*s**3/8 + 117*s**2/4 - 220*s. Factor o(t).
3*(t - 26)*(5*t - 3)/4
Let j = 10 + 1. Let n be (-3)/(-18) - j/(-6). Factor -3*r**4 + n*r + 17*r**4 - 32*r**3 + r + 22*r**2 - 7*r.
2*r*(r - 1)**2*(7*r - 2)
Let 25/8 - 3*w**2 - 1/8*w**4 - 5/4*w + 5/4*w**3 = 0. Calculate w.
-1, 1, 5
Let n(l) = 8*l**2 - 63