-143/2. Factor 1/3*t + 0 + y*t**2.
t*(t + 1)/3
Let t = 2 - -2. Factor -17*f**2 + 2*f + 2*f**3 + 4 + 2*f**t - 4*f + 11*f**2.
2*(f - 1)**2*(f + 1)*(f + 2)
Let q be (-5)/(-10) - -3*1/2. Suppose -1/2*r**q - 1/2*r**3 + 1/4*r + 1/4 + 1/4*r**5 + 1/4*r**4 = 0. Calculate r.
-1, 1
What is o in -2*o**2 - 9*o - o**2 + 5*o - 5*o = 0?
-3, 0
Let x(c) = 4*c**3 - 2 + 2*c**2 + 4*c - 3*c**2 + 9*c**2. Let g(u) = 16*u**3 + 32*u**2 + 16*u - 9. Let j(s) = 2*g(s) - 9*x(s). Let j(o) = 0. Calculate o.
-1, 0
Let w(n) be the second derivative of 5*n**7/112 - 17*n**6/80 + 3*n**5/10 - n**4/8 - 2*n + 1. Find a, given that w(a) = 0.
0, 2/5, 1, 2
Let m(g) be the third derivative of 0*g**4 - 1/735*g**7 + 4*g**2 + 1/105*g**5 + 0*g + 0 + 0*g**3 - 1/420*g**6. Factor m(o).
-2*o**2*(o - 1)*(o + 2)/7
Let i(d) be the third derivative of -1/48*d**4 + 1/36*d**3 - 4*d**2 + 1/120*d**5 + 0 + 0*d - 1/720*d**6. Find m such that i(m) = 0.
1
Let m(v) be the third derivative of v**5/60 + v**4/24 - 3*v**2. Suppose m(k) = 0. What is k?
-1, 0
Let g = -140 + 1681/12. Let w(q) be the first derivative of 1 - 1/2*q - g*q**6 - 1/4*q**2 - 1/10*q**5 + 1/4*q**4 + 1/3*q**3. Let w(k) = 0. Calculate k.
-1, 1
Let n(h) be the third derivative of -h**5/270 + h**3/27 + h**2. Suppose n(z) = 0. Calculate z.
-1, 1
Factor -34*t**2 + 91*t**2 + 148*t + 24 + 123*t**2.
4*(5*t + 3)*(9*t + 2)
Let j(c) be the third derivative of 0 - 8*c**2 - 1/180*c**5 + 1/9*c**3 - 1/72*c**4 + 0*c. Determine r, given that j(r) = 0.
-2, 1
Let n(f) = -2*f - 10. Let i be n(-8). Suppose -s + i - 3 = 0. Factor -2*y**2 - 3*y**s + 9*y**2 - 8*y + y**2 + y**3.
-2*y*(y - 2)**2
Let g(a) = -a**2 - 2*a + 1. Let q be g(-1). Factor 25/3*z**q + 4/3 + 20/3*z.
(5*z + 2)**2/3
Let a be 3*(4 - 32/36). Suppose 0 - 2/3*u - 1/3*u**2 + a*u**3 = 0. Calculate u.
-1/4, 0, 2/7
Let a(s) = s**2 - s - 4. Let h be a(3). Suppose 0 = h*y - 4*v - 144, -4*y + 121 = 3*v - 200. Let -y*q**2 + 8 - 4*q + 72*q**3 + 7*q + 5*q = 0. What is q?
-1/4, 2/3
Let j(l) = -96*l + 2 - 2*l**2 + 96*l. Let y(i) = -i + 1. Let r(k) = -3*k + 5. Let w(g) = r(g) - 4*y(g). Let z(p) = j(p) - 6*w(p). Factor z(c).
-2*(c + 1)*(c + 2)
Let h(o) be the first derivative of -o**4/48 - o**3/12 - o**2/8 + o + 1. Let l(f) be the first derivative of h(f). Factor l(y).
-(y + 1)**2/4
Let n(z) = 6*z**4 + 6*z**3 + 17*z**2 + 8*z. Let p = 0 - 5. Let f(t) = 7*t**4 + 6*t**3 + 18*t**2 + 8*t. Let u(l) = p*f(l) + 6*n(l). Factor u(b).
b*(b + 2)**3
Let h(c) = 3*c**4 - 9*c**3 + 10*c**2 + 2*c + 1. Let g(o) = o**4 - 3*o**3 + 3*o**2 + o. Let x(z) = 7*g(z) - 2*h(z). Factor x(n).
(n - 2)*(n - 1)**2*(n + 1)
Let m(z) be the second derivative of -z**7/4200 + z**5/200 + 3*z**4/4 - 8*z. Let v(c) be the third derivative of m(c). Let v(o) = 0. Calculate o.
-1, 1
Let n(s) be the third derivative of -s**7/12600 - s**6/900 - s**5/150 + s**4/6 - s**2. Let f(o) be the second derivative of n(o). Factor f(c).
-(c + 2)**2/5
Let b be 21/(-63) + 922/(-15). Let x = b + 62. Factor 4/5 + 4/5*p + x*p**2.
(p + 2)**2/5
Let t = 3 - 4. Let y = t + 4. Solve y - 3 - j**2 = 0 for j.
0
Let k(t) = -4*t**5 + 0*t**3 - t + 9*t**5 - 7*t**3. Let z(p) = -26*p**5 + 36*p**3 + 6*p. Let r(f) = -16*k(f) - 3*z(f). Suppose r(u) = 0. Calculate u.
-1, 0, 1
Factor 72*y - 33*y**2 - 5*y**2 + 90 + 3*y + 15*y**3 - 42*y**2.
5*(y - 3)**2*(3*y + 2)
Let 0*o - 8/9*o**3 + 0 + 2/3*o**2 = 0. Calculate o.
0, 3/4
Let c(s) be the second derivative of -s**7/5040 + s**6/1440 + s**5/120 + s**4/6 - s. Let k(l) be the third derivative of c(l). Find w, given that k(w) = 0.
-1, 2
Let v be (1/(-2))/(4/(-32)). Suppose 3*a - 3*i + 3 = 0, 5*a - v*a = -i + 1. Solve 0 + 0*s + a*s**4 + 2/9*s**3 + 0*s**2 - 2/9*s**5 = 0 for s.
-1, 0, 1
Let k = 7 - -6. Factor -14*y + k*y + y**4 + 1 + 2*y**5 - 2*y**2 + 2*y**3 - 3*y**5.
-(y - 1)**3*(y + 1)**2
Let p = 11 - 5. Let l be ((-4)/p)/(28/(-12)). Factor 4/7*w**3 + 2/7 - 4/7*w - l*w**4 + 0*w**2.
-2*(w - 1)**3*(w + 1)/7
Let m(c) be the first derivative of 0*c - 2 + 0*c**3 + 1/48*c**6 + c**2 + 1/60*c**5 + 0*c**4. Let j(s) be the second derivative of m(s). Factor j(y).
y**2*(5*y + 2)/2
Determine q so that 24*q**2 + 3*q - 9/2 + 21*q**3 + 9/2*q**4 = 0.
-3, -1, 1/3
Let h(x) = x**3 + x**2 + 4. Let o be h(0). Suppose 0 = -0*g + o*g, -5*q - 5*g + 15 = 0. Factor 0*m**2 - 2/3*m**q + 2/3*m + 0.
-2*m*(m - 1)*(m + 1)/3
Let b(k) be the third derivative of 0*k**4 + 0*k - 1/480*k**6 + 0*k**5 + 0*k**3 + 1/840*k**7 - 10*k**2 + 0. Find i such that b(i) = 0.
0, 1
Let g(j) = 5*j**5 + 4*j**4 - 3*j**3 + 2*j**2 - 4. Let r(u) = -6*u**5 - 5*u**4 + 3*u**3 - 3*u**2 + 5. Let x(i) = 5*g(i) + 4*r(i). Solve x(m) = 0.
-1, 0, 2
Let c(s) be the third derivative of -1/60*s**5 - 1/270*s**6 + 0 - 2/3*s**3 + 1/18*s**4 + 0*s - 3*s**2. Let p(m) be the first derivative of c(m). Factor p(o).
-2*(o + 2)*(2*o - 1)/3
Let z be 0*((-2)/(-1))/2. Solve -3 - 12*d**2 + z*d - 3*d - 2*d - 10*d = 0 for d.
-1, -1/4
Let j(t) be the third derivative of 1/945*t**7 + 0*t**3 - 1/270*t**5 + 0 - 1/540*t**6 + 1/1512*t**8 + 6*t**2 + 0*t**4 + 0*t. Find g such that j(g) = 0.
-1, 0, 1
Let f(b) be the first derivative of -b**4/40 + b**3/30 + 5. Factor f(x).
-x**2*(x - 1)/10
Suppose 2/15*d**3 - 2/15 - 2/15*d + 2/15*d**2 = 0. Calculate d.
-1, 1
Let p(r) be the third derivative of -r**7/105 - r**6/4 - 13*r**5/10 - 37*r**4/12 - 4*r**3 - 50*r**2. Factor p(d).
-2*(d + 1)**3*(d + 12)
Let o be -3*12/(-162) - (-5)/18. Factor 2*w + 2 + o*w**2.
(w + 2)**2/2
Let j(t) = 23*t**5 + 50*t**4 + 33*t**3 + 4*t**2 + 2*t - 2. Let z(l) = -l**5 - l**4 + l**2 - l + 1. Let h(q) = -j(q) - 2*z(q). Solve h(o) = 0 for o.
-1, -2/7, 0
Let n(m) be the second derivative of m**5/5 - 2*m**4/3 - 2*m**3 - 22*m. Suppose n(q) = 0. What is q?
-1, 0, 3
Suppose -9*x + 5 = -4*f - 4*x, 4*f - 4 = -4*x. Let j(m) be the third derivative of 1/20*m**5 + f + 1/6*m**3 + 0*m - 1/120*m**6 - 1/8*m**4 + 2*m**2. Factor j(k).
-(k - 1)**3
Let 5*l**4 + 5*l**3 + 13*l**2 - l + l - 23*l**2 = 0. Calculate l.
-2, 0, 1
Let h(n) = 23*n**3 - 28*n**2 + 27*n - 6. Let x(l) be the first derivative of -15*l**4/4 + 19*l**3/3 - 9*l**2 + 4*l - 5. Let b(k) = 5*h(k) + 8*x(k). Factor b(s).
-(s - 1)**2*(5*s - 2)
Let l(i) be the second derivative of -i**3/6 + 2*i**2 - 5*i. Let g be l(4). Factor 0*m**3 + 0 - 2/7*m**4 + 0*m**2 + g*m - 2/7*m**5.
-2*m**4*(m + 1)/7
Suppose -26*s = -21*s - 10. Let b(c) be the second derivative of s*c - 1/9*c**3 + 0 + 1/6*c**2 + 1/36*c**4. Find g such that b(g) = 0.
1
Let h = 1139983/5735 + 27/1147. Let k = -198 + h. Determine t so that 2/5 + 2/5*t**2 - k*t = 0.
1
Let d(r) = r**2 - r - 2 - 1 - 1. Let m be d(3). Factor m*z + 2*z**2 + 2 - 4*z - 2*z.
2*(z - 1)**2
Suppose 0 = -2*j - 15 + 19. Let p(h) be the second derivative of 0 - 2/9*h**j - 1/90*h**5 - h - 5/27*h**3 - 2/27*h**4. Factor p(t).
-2*(t + 1)**2*(t + 2)/9
Let n(f) = -f**3 - 5*f**2 - 6*f - 6. Let g be n(-4). Suppose g*w + 6 = 4*w. Factor x**2 + x**4 + 6*x**3 + 2*x**w - 10*x**3.
x**2*(x - 1)**2
Let k(i) be the second derivative of -i**5/4 + 5*i**4/2 - 15*i**3/2 + 10*i**2 - 9*i. Factor k(l).
-5*(l - 4)*(l - 1)**2
Let q(h) be the second derivative of -16/9*h**3 - 4*h + 17/18*h**4 - 1/6*h**5 + 0 + 4/3*h**2. Determine r so that q(r) = 0.
2/5, 1, 2
Factor 0 - 8/17*c + 2/17*c**2.
2*c*(c - 4)/17
Determine t so that -9*t**5 + 0*t**2 + 24*t**4 + t**3 + 6*t**2 - 22*t**3 = 0.
0, 2/3, 1
Let m(d) be the second derivative of 0*d**2 + 3/40*d**5 + 1/60*d**6 + 0*d**3 + 0 - 2*d + 1/12*d**4. Solve m(k) = 0.
-2, -1, 0
Factor -w**4 - 12*w**2 - 8*w - 2 + w**3 - w**4 - 4*w**3 - 5*w**3.
-2*(w + 1)**4
Let g(u) be the first derivative of -u**5/3 + 5*u**4/6 + 5*u**3/9 - 5*u**2/3 - 16. Factor g(h).
-5*h*(h - 2)*(h - 1)*(h + 1)/3
Let m(h) = -3*h**2 - 6*h - 4. Let w(j) = 7*j**2 + 13*j + 8. Let l(q) = 5*m(q) + 2*w(q). Factor l(d).
-(d + 2)**2
Let a = -2/91 + 1373/364. Let r = -9/4 + a. Factor 0*o + 3/2*o**3 + 0 + r*o**2.
3*o**2*(o + 1)/2
Suppose 0 = -4*s + v - 1, 0*v = -5*s + 4*v - 4. Let m be (-2)/((-5 - -2) + 2). Factor s*z + 0 - 1/4*z**m.
-z**2/4
Let y(b) be the first derivative of -b**4 + 4*b**3 + 8*b**2 - 9. Factor y(z).
-4*z*(z - 4)*(z + 1)
Let b(n) be the third derivative of -n**5/60 + n**4/24 - 5*n**2. Factor b(v).
-v*(v - 1)
Solve 6/5*r**4 - 2/5*r + 2*r**2 - 14/5*r**3 + 0 = 0 for r.
0, 1/3, 1
Let b = -79/9 + 9. Find a such that -2/9*a + b*a**2 + 0 = 0.
