ate n.
-1, 0, 1
Let f = 26 + -22. Let z(c) be the second derivative of 0 + 0*c**f + 1/27*c**3 + 0*c**6 - 1/45*c**5 - 2*c + 1/189*c**7 + 0*c**2. Factor z(u).
2*u*(u - 1)**2*(u + 1)**2/9
Let k(h) be the third derivative of h**7/2520 - h**6/360 + h**5/120 + 7*h**4/24 + h**2. Let a(d) be the second derivative of k(d). Solve a(p) = 0.
1
Let b(p) = -3*p**2 - 17*p - 10. Let f(v) = 14*v**2 + 86*v + 50. Let q(r) = -11*b(r) - 2*f(r). Factor q(u).
5*(u + 1)*(u + 2)
Let x(f) be the first derivative of 2*f**3/3 + f**2 + 27. What is z in x(z) = 0?
-1, 0
Let w be ((-640)/(-275))/(40/100). Find z such that -w*z + 8/11 + 14*z**2 - 98/11*z**3 = 0.
2/7, 1
Let r(a) be the second derivative of -a**7/42 + a**6/30 + a**5/20 - a**4/12 - 8*a. Solve r(l) = 0.
-1, 0, 1
Suppose -2 = -c + 4. Let s(z) = 1. Let j(m) = 1. Let w(d) = -6*j(d) + 5*s(d). Let r(k) = -k**2 - k - 4. Let u(p) = c*w(p) - r(p). Factor u(h).
(h - 1)*(h + 2)
Let k be (1/3)/((-3)/9). Let x be (0/(-2))/(2 + k). Determine t so that -1/3*t - 2/3*t**2 + 2/3*t**4 + 1/3*t**5 + 0*t**3 + x = 0.
-1, 0, 1
Suppose o - 11 = 2*g, 0*o = -4*g - 4*o - 16. Let u = g - -5. Factor 6/7*l**4 + 0 - 4/7*l**3 - 2/7*l**2 + u*l.
2*l**2*(l - 1)*(3*l + 1)/7
Determine y so that 0*y - 3*y**2 - 33/2*y**3 + 0 + 27/2*y**5 - 18*y**4 = 0.
-1/3, 0, 2
Suppose -4*h + 13 = 5. Factor -2 + i - 3*i - 2*i - i**h - i**2.
-2*(i + 1)**2
Let j(d) be the first derivative of d**3 - 3*d + 2. Let j(v) = 0. Calculate v.
-1, 1
Let z = -7771/11 - -707. Determine w so that 0*w**2 + 4/11 + 2/11*w**3 - z*w = 0.
-2, 1
Let g(n) = 10*n**3 - 5*n**2 - 4*n - 7. Let m(h) be the first derivative of -4*h**2 + 19/4*h**4 - 13*h - 2 - 3*h**3. Let x(r) = -11*g(r) + 6*m(r). Factor x(u).
(u - 1)*(u + 1)*(4*u + 1)
Let m(p) be the third derivative of p**5/20 + 3*p**4/8 + 6*p**2. Factor m(u).
3*u*(u + 3)
Let m(x) be the first derivative of -3*x**5/20 - x**4/2 - x**3/2 + 4*x - 4. Let r(f) be the first derivative of m(f). Factor r(z).
-3*z*(z + 1)**2
Let x(j) be the first derivative of -7*j**6/120 - j**5/12 + j**4/12 - 3*j**2/2 - 3. Let h(u) be the second derivative of x(u). Factor h(l).
-l*(l + 1)*(7*l - 2)
Let x(r) be the first derivative of 8*r - 2/3*r**3 - 1 + 0*r**2. Solve x(l) = 0.
-2, 2
Factor 6*k**3 + k - k - 2*k**4 - 4*k**3.
-2*k**3*(k - 1)
Let p be 1*(-1)/15 - (-18)/45. Let m(y) be the second derivative of -1/3*y**4 + 0 + 0*y**2 - 3/10*y**5 + p*y**6 + 0*y**3 + 2*y. Factor m(w).
2*w**2*(w - 1)*(5*w + 2)
Let h = 157/231 - 1/77. Let 0*u + h*u**5 + 2/3*u**3 + 0 - 4/3*u**4 + 0*u**2 = 0. Calculate u.
0, 1
Let k(j) be the first derivative of 3*j**5/20 - 9*j**4/16 + 3*j**3/4 - 3*j**2/8 - 2. Factor k(v).
3*v*(v - 1)**3/4
Let x be (0 - (-9 + 10))/(5/(-1)). Let v(n) be the first derivative of -1/2*n**4 + 3 - x*n**5 + 0*n + 0*n**2 - 1/3*n**3. Factor v(i).
-i**2*(i + 1)**2
Let b(a) be the third derivative of -a**7/1620 + a**6/648 + a**5/270 - 7*a**4/24 + a**2. Let v(d) be the second derivative of b(d). Factor v(o).
-2*(o - 1)*(7*o + 2)/9
Factor 3*j**3 - 2*j**3 - 2*j**3 - 6*j**2 + 3*j**4 - 2*j**3.
3*j**2*(j - 2)*(j + 1)
Let x be (-10)/(-15)*(0 - -3). Suppose 4*z**2 + z**2 - 3*z**x = 0. Calculate z.
0
Let g = -5/4 + 47/12. Factor -16/3*p**2 - 2/3 - g*p**3 - 10/3*p.
-2*(p + 1)*(2*p + 1)**2/3
Suppose -2*w = -5*l + 10, 0*w = -5*l + 3*w + 15. Factor 0 + l*v**2 + 0*v - 1/7*v**4 - 3/7*v**3.
-v**3*(v + 3)/7
Let x be 6/10*60/108. What is o in -5/3*o**2 + 2/3 + o**4 + x*o**3 - 1/3*o = 0?
-1, 2/3, 1
Let x be (-2090)/(-627)*(6/(-5))/(-2). Find l such that -2/7*l**x + 2/7*l**4 + 2/7*l + 0 - 2/7*l**3 = 0.
-1, 0, 1
Factor -8/11*y**2 - 2/11*y**3 + 0*y + 0.
-2*y**2*(y + 4)/11
Let l(k) be the third derivative of -k**7/2205 + k**6/1260 - 4*k**2. Factor l(s).
-2*s**3*(s - 1)/21
Let v(o) be the second derivative of o**4/42 + 2*o**3/21 - 9*o. Determine z so that v(z) = 0.
-2, 0
Let g be ((-4)/150*3)/(-1). Let y = g - -36/175. Factor y*s**2 + 2/7*s**3 + 0 + 0*s.
2*s**2*(s + 1)/7
Let k(t) be the first derivative of 3*t**5/5 - 21*t**4/4 + 11*t**3 - 15*t**2/2 + 1. Find z such that k(z) = 0.
0, 1, 5
Suppose 1 = g - 2*o + 7, -4*o = -4*g - 8. Suppose -3*n = g*n - 10. Suppose -5 - 6*r**2 + 2*r**5 + 6*r**4 + 2*r**n + 4*r**3 + 1 + 2 - 6*r = 0. What is r?
-1, 1
Let c = -335/6 - -56. Let y(s) be the third derivative of -2/3*s**3 - 1/60*s**5 + 0 + 3*s**2 + 0*s - c*s**4. Determine t, given that y(t) = 0.
-2
Suppose 0*q = 2*q + 4*p - 14, 0 = 4*q - 4*p - 4. Let g = 0 + 4. Factor 4*u**4 - 2*u**4 - q*u**g - u**2 + 2*u**3.
-u**2*(u - 1)**2
Solve 0*y - 5*y**3 + 0 - 10/3*y**5 - 15/2*y**4 - 5/6*y**2 = 0.
-1, -1/4, 0
Suppose 7 = 2*w - 5. Let d(i) be the first derivative of -w*i - 1 + 2*i**2 - 2/9*i**3. Factor d(r).
-2*(r - 3)**2/3
Let u(f) = 18*f**2 + 15*f - 6. Let d(v) = 53*v**2 + 43*v - 17. Let r(k) = 6*d(k) - 17*u(k). Find t such that r(t) = 0.
-1/4, 0
Suppose f + 39*j = 35*j - 18, -3*f + j = -11. Factor 2*n - 1/2*n**f - 2.
-(n - 2)**2/2
Let c(x) be the second derivative of x**5/35 + x**4/42 - x**3/21 - 7*x. Factor c(u).
2*u*(u + 1)*(2*u - 1)/7
Let a = -2425/7 - -347. Suppose -5*g - 5 = -5*s, -4*s - 2 = 5*g - 15. Factor -6/7*l**s + 2/7*l**3 + a*l + 0.
2*l*(l - 2)*(l - 1)/7
Let h(l) be the third derivative of -l**5/240 - l**4/24 - l**3/8 - 12*l**2. Factor h(z).
-(z + 1)*(z + 3)/4
Let b(d) be the first derivative of -2197*d**5 - 2535*d**4/2 - 260*d**3 - 20*d**2 + 9. Factor b(a).
-5*a*(13*a + 2)**3
Factor 13/4*s**2 - 1/2*s + 0.
s*(13*s - 2)/4
Let t(q) = q - 2. Let z be t(4). Factor -2*n**3 + 6*n**4 - 9*n**4 - z*n**5 - n**4 + 0*n**3.
-2*n**3*(n + 1)**2
Suppose -6 = 2*m + 3*f, -2*m - 6 = -4*m + 3*f. Suppose 9 - q - q**2 + m*q - 9 = 0. What is q?
-1, 0
Factor 2/9*h**2 + 32/9 + 16/9*h.
2*(h + 4)**2/9
Factor 5*u**2 + 4 + 2*u + 0*u + 4*u - 3*u**2.
2*(u + 1)*(u + 2)
Let p be 4 + (-5)/(-15) - 3. Let y(g) be the first derivative of p*g**3 + 2/15*g**5 + 2/3*g + 4/3*g**2 - 1 + 2/3*g**4. Factor y(b).
2*(b + 1)**4/3
Solve 8*p**5 - 9*p**5 - 9*p**3 - 12*p**4 - 27*p**3 = 0.
-6, 0
Let p(i) be the third derivative of 0*i**3 + 0*i**7 + 0*i**5 + 0 - 1/1512*i**8 + 1/540*i**6 - 2*i**2 + 0*i**4 + 0*i. Solve p(l) = 0.
-1, 0, 1
Suppose r - 3 = -0*r. Let y(k) be the second derivative of -1/60*k**5 + 0*k**r + 0*k**2 + 1/36*k**4 - k + 0. Factor y(p).
-p**2*(p - 1)/3
Let t(n) be the second derivative of -n**8/8736 - 2*n**7/4095 - n**6/4680 + n**5/390 + n**4/4 - 8*n. Let p(i) be the third derivative of t(i). Factor p(y).
-2*(y + 1)**2*(5*y - 2)/13
Let p be 0 + -3*(-3)/3. Let a be 0/1*(-1)/(-2). Determine g, given that a*g**2 - 1/2*g**5 + 0*g - 1/4*g**4 + 1/4*g**p + 0 = 0.
-1, 0, 1/2
Determine m so that 2/11*m**5 + 6/11*m**3 + 0*m - 2/11*m**2 - 6/11*m**4 + 0 = 0.
0, 1
Let b(r) be the third derivative of -r**10/151200 + r**8/20160 - r**5/60 - r**2. Let x(o) be the third derivative of b(o). Factor x(t).
-t**2*(t - 1)*(t + 1)
Let p(u) be the third derivative of -u**8/84 - 2*u**7/105 + u**6/15 + 2*u**5/15 - u**4/6 - 2*u**3/3 - 14*u**2. Factor p(k).
-4*(k - 1)**2*(k + 1)**3
Factor -1/11*c**3 - 4/11*c + 0 + 4/11*c**2.
-c*(c - 2)**2/11
Factor -33*q + 86*q**2 - 60*q**3 + 4 - 15*q + 5 - 1 + 14*q**4.
2*(q - 2)*(q - 1)**2*(7*q - 2)
Suppose 5*g = 3*y + 12, -4*g - 2*y + 5 = -9. Let -2*r**2 + 0*r**5 + r**4 - 7*r**5 - r + 6*r**5 + 2*r**g + 1 = 0. What is r?
-1, 1
Let k(d) = 4*d**3 - 3*d**2 - d. Let i(p) = -p**3 + p**2. Let f(n) = -7*i(n) - 2*k(n). Solve f(u) = 0.
-2, 0, 1
Let d = -1 - -9. Suppose -q + 2*n + 3*n = -20, d = 4*q - 2*n. Suppose -y**2 + 1/2*y**3 + q + 1/2*y = 0. Calculate y.
0, 1
Let i(l) be the second derivative of -l**6/15 + 7*l**5/10 - 5*l**4/2 + 13*l**3/3 - 4*l**2 - 57*l. Find f, given that i(f) = 0.
1, 4
Let w(s) be the first derivative of 0*s + 1/6*s**6 + 0*s**2 - 1/5*s**5 + 2 - s**3 - 5/4*s**4. Solve w(r) = 0 for r.
-1, 0, 3
Factor -188*n - n**3 + 188*n - 4*n**2 - 3*n**3.
-4*n**2*(n + 1)
Suppose 3*r - 12*z + 9*z = 0, r = -2*z. Factor 0*t + r + 1/4*t**3 - 1/4*t**4 + 0*t**2.
-t**3*(t - 1)/4
Let w(i) = -i**2 + 2*i. Let x(q) = 2*q**2 - 4*q. Suppose -2*o - p = -26, -o - 2*o + 39 = p. Let c(b) = o*w(b) + 6*x(b). Factor c(k).
-k*(k - 2)
Let 5*c**2 + 4 - 2*c**2 - 6*c - c**2 + 0*c**2 = 0. What is c?
1, 2
Let n(q) be the first derivative of -q**7/840 + q**6/360 + q**5/120 - q**4/24 - 7*q**3/3 + 6. Let h(r) be the third derivative of n(r). What is w in h(w) = 