*u**2 - 5*u**2 - 13*u**2 + 30*u**2 + 3*u**3 - 5*u**2.
3*u*(u - 1)**2
Let m(w) = -5*w**2 - 6*w - 7. Let v(f) = f**2 + 1. Let o(n) = m(n) + 4*v(n). Let x be o(-5). Factor 2*j**3 - 2*j + 3*j - x*j - j**5.
-j*(j - 1)**2*(j + 1)**2
Let y(v) = -v**2 - 1. Let o(d) = -15*d**2 + 36*d - 12. Let f(n) = -o(n) + 12*y(n). Find q such that f(q) = 0.
0, 12
Solve -2*h**3 + 34*h**2 - 10*h**2 - 2*h**3 - 18 - 22 - 12*h = 0.
-1, 2, 5
Suppose 7 - 148*l**2 - 40*l + 153*l**2 + 53 = 0. Calculate l.
2, 6
Let r(b) be the second derivative of -b**5/40 + 13*b**4/24 + 29*b**3/12 + 15*b**2/4 + 193*b. Factor r(u).
-(u - 15)*(u + 1)**2/2
Suppose 0 = 2*q + 10, -t + 5*q + 19 = -9. Suppose 4*z = -3*j + 5*z + 5, 5*z = 5*j - 5. Factor -2 - t*n**j - 20*n + 6 + 0 + 12*n**2.
(n - 2)*(9*n - 2)
Factor -25/3*k**2 + 29/3*k**3 + 0 + 4/3*k**4 - 8/3*k.
k*(k - 1)*(k + 8)*(4*k + 1)/3
Let q(c) = 16*c - 21*c**2 + 50*c**2 - 13*c**2 - 19*c**2 - 9. Let m(f) = 2*f - 6*f + 1 + 3*f. Let x(w) = -6*m(w) - q(w). Find b, given that x(b) = 0.
1/3, 3
Let q(k) = -k**4 + 5*k**3 + k**2 + k + 6. Let p = -104 + 74. Let h(a) = -a**3 - 1. Let s(y) = p*h(y) - 5*q(y). Factor s(x).
5*x*(x - 1)*(x + 1)**2
Let o(u) = -2*u**3 + 2*u**2 + 2*u + 10. Let w(m) = -3*m**3 + 3*m**2 + 3*m + 19. Suppose 14 = 2*v - 8. Let h(y) = v*o(y) - 6*w(y). Factor h(f).
-4*(f - 1)**2*(f + 1)
Let z(b) be the first derivative of b**4/18 + 8*b**3/9 + 7*b**2/3 - 196*b/9 + 68. Factor z(j).
2*(j - 2)*(j + 7)**2/9
Suppose 0 = -4*w + 3 + 5. Suppose -18 - 6*j**3 + 3*j**3 + 9*j**w - 4*j**3 + 12*j + 14 = 0. Calculate j.
-1, 2/7, 2
Let m be (-217)/(-868)*8/5. Suppose 2/5*u + 0 - 4/5*u**2 + m*u**3 = 0. What is u?
0, 1
Let u(w) be the first derivative of -1/14*w**4 - 5/21*w**6 + 4/21*w**3 - 16/35*w**5 + 0*w**2 + 15 + 0*w. Factor u(m).
-2*m**2*(m + 1)**2*(5*m - 2)/7
Let p = 311 + -307. Let v(f) be the second derivative of -8/3*f**3 + 5/6*f**p + 0 - 1/10*f**5 + 4*f**2 + 5*f. Factor v(s).
-2*(s - 2)**2*(s - 1)
Let p be ((-80)/(-6))/(798/171). Let 32/7*q - p*q**2 - 16/7 + 4/7*q**3 = 0. Calculate q.
1, 2
Let y(m) be the second derivative of 5*m**7/98 + 6*m**6/35 + 27*m**5/140 + m**4/14 - 2*m - 101. Factor y(w).
3*w**2*(w + 1)**2*(5*w + 2)/7
Let u(h) be the second derivative of -h**5/60 - 4*h - 11. Solve u(j) = 0.
0
Let y(n) be the first derivative of -n**6/4 - 21*n**5/20 + 3*n**4/4 - 114. Factor y(z).
-3*z**3*(z + 4)*(2*z - 1)/4
Let a(r) be the first derivative of -4*r**5/5 + 11*r**4 - 24*r**3 + 57. Factor a(c).
-4*c**2*(c - 9)*(c - 2)
Let p(o) = o**2 - 33*o - 24. Let z(w) = 2*w**2 - 34*w - 24. Let m(u) = 6*p(u) - 5*z(u). Factor m(l).
-4*(l + 1)*(l + 6)
Factor 350*h**2 + 387*h**3 - 187*h**3 + 6125*h - 195*h**3.
5*h*(h + 35)**2
Let v(x) be the first derivative of -x**3/21 - 4*x**2/7 - 29. Determine y so that v(y) = 0.
-8, 0
Let q(d) be the first derivative of 2*d**3/15 - 26*d**2 + 1690*d - 254. Find b such that q(b) = 0.
65
Let a(k) = -k**3 + 7*k**2 + 12. Let o be a(7). Let g(m) be the first derivative of -o + 4/19*m**2 + 0*m - 2/57*m**3. Determine q, given that g(q) = 0.
0, 4
Let p(l) = 4*l**2 + 17*l + 75. Let i(v) = 3*v**2 + 15*v + 72. Let n(t) = 5*i(t) - 4*p(t). Solve n(w) = 0.
-5, 12
Let a(q) be the second derivative of q**6/210 + 41*q**5/140 - q**4/2 - 108*q + 1. Factor a(j).
j**2*(j - 1)*(j + 42)/7
Let r(p) be the second derivative of p**8/1008 + 2*p**7/315 + p**6/72 + p**5/90 + 11*p**2/2 + 18*p. Let y(h) be the first derivative of r(h). Factor y(s).
s**2*(s + 1)**2*(s + 2)/3
Let j(b) be the second derivative of b**4/6 + 10*b**3 + 29*b**2 + 248*b. Factor j(t).
2*(t + 1)*(t + 29)
Let c = -396132/17 - -23302. Factor -c*d**3 - 6/17*d**2 + 6/17 + 2/17*d.
-2*(d - 1)*(d + 1)*(d + 3)/17
Let b = 117 - 116. Let q be b/2 + (-1 - -1). Factor -q*j**2 - 1/2*j + 0.
-j*(j + 1)/2
Let p be (-2)/56 + (-7)/28 - (-2)/7. Factor 1/2*o**2 - 3/4*o**4 - 1/4*o**3 + 0 + p*o.
-o**2*(o + 1)*(3*o - 2)/4
Let a(u) be the first derivative of 0*u + 6 - 2/3*u**4 - 1/3*u**2 + 10/9*u**3. Determine j so that a(j) = 0.
0, 1/4, 1
Let h(v) be the first derivative of -v**3 - 3*v**2/2 + 60*v + 132. Find p such that h(p) = 0.
-5, 4
Let c(o) = -o**2 - o + 1. Suppose 6*v - 22*v = 16. Let z(i) = -10*i + 5. Let u(q) = v*z(q) + 5*c(q). Factor u(y).
-5*y*(y - 1)
Let w(i) be the second derivative of i**5/5 + i**4/3 - 10*i**3/3 + 6*i**2 + i + 25. What is c in w(c) = 0?
-3, 1
Factor -3/4*l**3 + 33 + 9/2*l**2 + 153/4*l.
-3*(l - 11)*(l + 1)*(l + 4)/4
Let a = 1 + 2. Let o = 0 + a. Suppose -3*r**2 + 2*r**4 - 3*r**3 + o*r**5 + 13*r - 13*r + r**4 = 0. Calculate r.
-1, 0, 1
Let z be (17/68)/((-1)/4). Let a be ((-144)/(-28) - 3) + z. Factor -2/7*g**2 + a*g - 8/7.
-2*(g - 2)**2/7
Let h = -15/8 - -241/120. Let d(x) be the second derivative of h*x**3 + 1/20*x**4 - 2/5*x**2 + 0 + 7*x. Factor d(i).
(i + 2)*(3*i - 2)/5
Let r(p) be the second derivative of -p**5/360 + p**4/24 - 2*p**2 - 12*p. Let g(w) be the first derivative of r(w). Factor g(z).
-z*(z - 6)/6
Let g be -11*75/90*4/10 + 5. What is p in -2*p**2 + 3*p - g + 1/3*p**3 = 0?
1, 4
Suppose -54*y = -128 - 17 - 17. Find b, given that 0*b**y + 0 + 2/9*b**5 + 4/9*b**2 - 2/9*b - 4/9*b**4 = 0.
-1, 0, 1
Suppose 8 = 5*i - p, -5*i + i + 3*p + 2 = 0. Factor -6*b**i - 9*b**3 - 3*b - b**2 + 8*b**2 + 8*b**2 + 3*b**4.
3*b*(b - 1)**3
Let k = 162 - 482/3. Let b be ((-160)/(-45))/((-32)/(-24)). Factor b - k*l - 8/3*l**2 + 4/3*l**3.
4*(l - 2)*(l - 1)*(l + 1)/3
Let n(q) be the second derivative of -289*q**4/20 + 34*q**3/5 - 6*q**2/5 + 46*q. Factor n(o).
-3*(17*o - 2)**2/5
Factor 2/5*l**2 + 6*l + 52/5.
2*(l + 2)*(l + 13)/5
Factor 0 - 6*l + 1/4*l**2.
l*(l - 24)/4
Factor 0*f - 9*f + 15 - 2*f**2 + 4*f + 7*f**2 - 45.
5*(f - 3)*(f + 2)
What is g in 27/2*g**2 + 3/2*g - 27/2 - 3/2*g**3 = 0?
-1, 1, 9
Let m = -40 + 45. Let z(c) be the second derivative of -3*c + 0*c**2 + 0*c**3 - 1/70*c**m + 0 - 1/42*c**4. Find b such that z(b) = 0.
-1, 0
Let w(u) be the second derivative of -u**4/66 + 7*u**3/33 - 10*u**2/11 + 6*u - 9. Factor w(d).
-2*(d - 5)*(d - 2)/11
Let z(l) = 3*l**3 + 8*l**2 - l - 5. Let x(s) be the third derivative of s**6/30 + 2*s**5/15 - s**3 + 33*s**2. Let w(p) = 5*x(p) - 6*z(p). Factor w(h).
2*h*(h - 3)*(h - 1)
Let i(l) be the first derivative of -2*l**3/3 - 74*l**2 - 2738*l + 345. Solve i(c) = 0 for c.
-37
Let f(n) be the first derivative of n**5/10 + 7*n**4/8 - 15. Factor f(j).
j**3*(j + 7)/2
Let q(r) be the second derivative of -r**7/336 - r**6/48 - 9*r**5/160 - 7*r**4/96 - r**3/24 + 3*r. Factor q(b).
-b*(b + 1)**3*(b + 2)/8
Let v(m) be the second derivative of -m**7/2940 + m**6/420 - m**5/210 - 16*m**3/3 + 30*m. Let c(x) be the second derivative of v(x). Factor c(b).
-2*b*(b - 2)*(b - 1)/7
Let a(s) = -s**4 + s**3. Let o(t) = 36*t**3 + 4*t - 15*t**4 - 5*t + t + 27*t**2. Let j(v) = -18*a(v) + o(v). Factor j(d).
3*d**2*(d + 3)**2
Let x(a) be the first derivative of 13 - 9/20*a**5 - 1/3*a**3 - 5/4*a**4 + 0*a + 0*a**2. Factor x(f).
-f**2*(f + 2)*(9*f + 2)/4
Let r(t) = t**3 - t**2 + t. Let x(n) = -10*n**3 + 31*n**2 - 12*n. Let s(k) = -6*r(k) - x(k). Let f be s(6). Let f + 2/9*i - 4/9*i**2 = 0. What is i?
0, 1/2
Find o such that 2*o + 10*o + 6*o**2 - 1151 + 1127 - 3*o**3 = 0.
-2, 2
Factor 4/3*v + 2/3*v**3 + 10/3*v**2 - 16/3.
2*(v - 1)*(v + 2)*(v + 4)/3
Let k be 1 + -2 - (-3 - 1 - -1). Suppose 0 = -k*y + 10, -23 = -4*a - 5*y + 2. Factor a*f**2 + 24/7*f**4 + 0 - 18/7*f**3 - 9/7*f**5 + 3/7*f.
-3*f*(f - 1)**3*(3*f + 1)/7
Let r(v) be the third derivative of -v**5/130 + v**4/12 + 10*v**3/39 - 3*v**2 - 3*v. Factor r(t).
-2*(t - 5)*(3*t + 2)/13
Suppose -6*d = 1 - 1. Let o(z) be the second derivative of 0 + 1/15*z**6 + 0*z**3 + 0*z**2 + 5*z - 1/10*z**5 + d*z**4. Solve o(k) = 0 for k.
0, 1
Let p(g) be the second derivative of -g**7/315 - 2*g**6/75 - g**5/150 + 4*g**4/15 - 16*g**3/45 + g + 14. Let p(a) = 0. Calculate a.
-4, 0, 1
Suppose -4*r = -4*s + 3 + 5, -4*s - 3*r + 15 = 0. Let q = 7 + -2. Factor -6*c + q*c + 4*c - 3*c**2 + 0*c - s*c**3 + 3.
-3*(c - 1)*(c + 1)**2
Suppose 8 = -2*r + 4*s, -2*r + 2*s + 12 = 3*r. Factor -10*i**2 + 2*i**3 + 3*i**3 - r + 4.
5*i**2*(i - 2)
Let l(n) = -n**3 - 7*n**2 + 11*n - 13. Let v(m) = -2*m**3 - 5*m**2 + 10*m - 11. Let i(z) = 4*l(z) - 5*v(z). Factor i(k).
3*(k - 1)*(k + 1)*(2*k - 1)
Let c be (-4)/(-20)*10/36. Let z(m) be the first derivative of -2*m - c*m**4 