rst derivative of 0*t + 1/15*t**5 + 0*t**2 - 3 + 1/9*t**3 + 1/6*t**4. Let s(n) = 0. What is n?
-1, 0
Let z(q) = 6*q**3 - 6*q + 5. Let g(l) = -21*l**3 + 21*l - 18. Let k be 71/4 - 3/(-12). Let a(o) = k*z(o) + 5*g(o). Factor a(t).
3*t*(t - 1)*(t + 1)
Find m such that 2/7*m - 13/7*m**2 + 0 + 20/7*m**3 - 9/7*m**4 = 0.
0, 2/9, 1
Let x(m) = -m**2 - 4*m. Let o be x(-3). Suppose o*h = 7*h - 4. Factor k + k**2 - h + k + 2.
(k + 1)**2
Let f(x) be the third derivative of -5*x**7/21 + 11*x**6/12 - 7*x**5/5 + 17*x**4/15 - 8*x**3/15 - 3*x**2. Find n, given that f(n) = 0.
2/5, 1
Let s(l) = 2*l**3 - 5*l**2 - 11*l - 9. Let p(n) = -3*n**3 + 8*n**2 + 17*n + 14. Let q(b) = -5*p(b) - 8*s(b). Factor q(d).
-(d - 2)*(d + 1)**2
Suppose 4*u = 4*w + 12, 3*u = w + 3*w + 9. Suppose -u*m - m = -12. Let -3*j**m + 5*j**3 - j**2 - j**4 + 0*j**3 = 0. What is j?
0, 1
Let u(b) be the first derivative of -3*b**4/8 - 10*b**3/9 - 13*b**2/12 - b/3 + 7. Factor u(n).
-(n + 1)**2*(9*n + 2)/6
Let n(t) be the second derivative of 1331*t**5/90 + 121*t**4/9 + 44*t**3/9 + 8*t**2/9 - 7*t. Factor n(a).
2*(11*a + 2)**3/9
What is w in 0 - 2/5*w**3 + 6/5*w**2 - 4/5*w = 0?
0, 1, 2
Let u(g) be the third derivative of -g**8/1344 - g**7/105 - g**6/20 - 2*g**5/15 - g**4/6 + 24*g**2. Let u(w) = 0. What is w?
-2, 0
Suppose 5 = -37*u + 79. Solve 0*f + f**u + 0 + 3/2*f**3 = 0.
-2/3, 0
Let d be -3*(-1 - (1 - -5)). Suppose -5*z + d = -4. Factor 3*w**5 - 2*w**z + 0*w**5 + 2*w**2 - 3*w**4 - 3*w + 1 + 0*w**5 + 2*w**3.
(w - 1)**4*(w + 1)
Factor -1/8 - 1/2*v - 1/2*v**2.
-(2*v + 1)**2/8
Factor 0 + 3/4*f**2 + 3/4*f**3 + 0*f.
3*f**2*(f + 1)/4
Let a be 3/(-9) - (-208)/48. Solve -12*j**a - 3/4*j + 0 - 6*j**3 + 21/4*j**2 = 0.
-1, 0, 1/4
Let g(s) be the second derivative of 0 + 49/80*s**5 + 4/3*s**3 + 77/48*s**4 - 3*s + 1/2*s**2. Let g(m) = 0. Calculate m.
-1, -2/7
Factor 2 - 11 + 5*a**2 - 2*a**2 - 6*a.
3*(a - 3)*(a + 1)
Suppose 14*h - 10 = -10. Factor 0*x - 2/9*x**3 + 0*x**2 + 2/9*x**5 + h*x**4 + 0.
2*x**3*(x - 1)*(x + 1)/9
Let i(o) be the third derivative of 1/140*o**6 - 3*o**2 + 0*o**3 + 0*o**4 - 1/490*o**7 + 0*o + 0 - 1/140*o**5. Let i(z) = 0. Calculate z.
0, 1
Let l(n) = 8*n**2 - 8*n + 5. Let f(u) = 7*u**2 - 7*u + 4. Let s(j) = -7*f(j) + 6*l(j). Factor s(q).
-(q - 2)*(q + 1)
Let k be 20*(2 - (-28)/(-10)). Let u be k/30*(-18)/12. Suppose -18/5*d - u + 8/5*d**3 + 24/5*d**4 + 2*d**5 - 4*d**2 = 0. Calculate d.
-1, -2/5, 1
Let z(y) be the second derivative of 1/5*y**6 - 2*y**4 + 0 + 3/10*y**5 - 3*y**2 + 7/2*y**3 - 1/14*y**7 + 3*y. Determine b, given that z(b) = 0.
-2, 1
Suppose d + 1 = -1. Let k be d/7 - (-65)/105. Factor -1/3 + k*q**3 - q**2 + q.
(q - 1)**3/3
Let w(q) be the first derivative of 4*q**3/7 - 32*q**2/7 - 48*q/7 + 3. Solve w(s) = 0.
-2/3, 6
Let y(w) = -15*w**3 - 15*w**2 + 15*w + 4. Let m(c) = -9 + 8*c**2 - 8*c + 6 + 8*c**3 + 1. Let b(h) = 11*m(h) + 6*y(h). Factor b(g).
-2*(g - 1)*(g + 1)**2
Suppose 7 + 3 = 5*z. Suppose z*s = -2*s + 12. Factor 1/2*a + s*a**3 - 2*a**2 - 2*a**4 + 0 + 1/2*a**5.
a*(a - 1)**4/2
Suppose -4*r - 2*g = -1 - 1, -4*g + 4 = 0. Factor 1/5*v**3 + r + 0*v - 2/5*v**2.
v**2*(v - 2)/5
Let d = 270 + -1349/5. Factor 1/5*u - d*u**3 + 0*u**2 + 0.
-u*(u - 1)*(u + 1)/5
What is h in h + 5*h + h**3 - 351*h**4 + 13*h**2 + 349*h**4 = 0?
-2, -1/2, 0, 3
Let b(u) = u**3 + 11*u**2 + 9*u - 7. Let n be b(-10). Let o(x) = 6*x - 3. Let l(j) = j**2 - 12*j + 6. Let d(k) = n*l(k) + 5*o(k). What is f in d(f) = 0?
1
Let n(s) be the third derivative of 0 + 1/420*s**7 + 0*s**3 + 3*s**2 + 1/160*s**6 + 0*s + 0*s**5 - 1/96*s**4. Factor n(g).
g*(g + 1)**2*(2*g - 1)/4
Let v(o) be the first derivative of 3*o**4/32 + o**3/4 - 3*o**2/16 - 3*o/4 + 20. Factor v(a).
3*(a - 1)*(a + 1)*(a + 2)/8
Let o(a) be the third derivative of -a**6/180 - 19*a**5/360 + 5*a**4/144 + 19*a**2. Determine v, given that o(v) = 0.
-5, 0, 1/4
Let n be -4*((-3)/2)/3. Factor 2*l + 0*l - n*l**3 + 0*l**3.
-2*l*(l - 1)*(l + 1)
Let f(b) = -b**3 + 4*b**2 - 2*b. Let j be f(3). Factor 3*u**j + 8*u + 8*u**2 + 12*u**2 - 13*u**3 - 18*u**3.
-4*u*(u - 1)*(7*u + 2)
Let r(w) be the third derivative of 3*w**2 + 0*w - 1/90*w**5 + 0*w**3 + 0*w**4 + 0. What is l in r(l) = 0?
0
Suppose 3*x + 0*m - 5 = -m, x - 1 = -m. Solve 0 - 2/5*g**3 + 0*g**x + 2/5*g = 0 for g.
-1, 0, 1
Let d be (-1)/10 - 15/(-75). Let s(v) be the third derivative of -1/60*v**6 + d*v**5 + 0*v + 1/3*v**3 + 0 - 1/4*v**4 - v**2. Suppose s(u) = 0. Calculate u.
1
Suppose 0 = -7*y + 41 - 6. Suppose -3*b - k + 11 = -2*k, -y*k = -4*b + 33. Find a such that 3/2*a + 3/2*a**b + 0 = 0.
-1, 0
Let y(o) be the second derivative of -4*o + 1/10*o**3 + 0 - 1/60*o**4 - 1/5*o**2. Factor y(s).
-(s - 2)*(s - 1)/5
Let z(j) = 2*j**4 - 12*j**2 + 16*j. Let t(s) = 2*s**4 - s**3 - 11*s**2 + 16*s. Let l(q) = -4*t(q) + 3*z(q). Suppose l(x) = 0. Calculate x.
-2, 0, 2
Let h(g) be the third derivative of -g**5/300 - g**4/120 + g**3/15 + 13*g**2. Factor h(y).
-(y - 1)*(y + 2)/5
Let n(o) be the first derivative of -35*o**4/4 + 25*o**3/3 + 215*o**2 + 120*o + 2. Factor n(a).
-5*(a - 4)*(a + 3)*(7*a + 2)
Let n(d) = -d**3 + 4*d**2 - d - 3. Let f be n(3). Let r be ((-3)/12)/(f/(-12)). Find j such that r + j + 1/4*j**2 = 0.
-2
Let l = -219783 - -90550913/412. Let z = -2/103 + l. Factor -1/4*i - 1/4*i**4 - 3/4*i**2 + 0 - z*i**3.
-i*(i + 1)**3/4
Let b be 10/8 + (-12)/(-16). Determine y, given that 0*y**2 - 4*y + 2*y**2 - 2*y**b + 10*y**3 + 6*y**2 = 0.
-1, 0, 2/5
Let a(f) be the second derivative of 1/27*f**3 + 1/54*f**4 + 4*f - 2/9*f**2 + 0. Determine w, given that a(w) = 0.
-2, 1
Let b = 123 - 981/8. Let j = b - 1/8. Factor -u**2 - u**4 - j*u**5 - 1/4*u + 0 - 3/2*u**3.
-u*(u + 1)**4/4
Let w(f) be the first derivative of 2*f**3/21 + 5*f**2/7 + 12*f/7 + 20. Factor w(p).
2*(p + 2)*(p + 3)/7
Suppose 7 - 25 = -6*q. Factor 0 + 0*v**2 + 2/9*v**5 + 0*v**4 - 4/9*v**q + 2/9*v.
2*v*(v - 1)**2*(v + 1)**2/9
Let s(i) = -2*i**2 + 8. Let k be s(-2). Solve k*x + 0*x**2 - 1/2*x**5 - x**4 + 0 - 1/2*x**3 = 0.
-1, 0
Let h(b) be the second derivative of -b**7/14 + 3*b**6/5 - 9*b**5/5 + 5*b**4/2 - 3*b**3/2 - 2*b - 10. Factor h(w).
-3*w*(w - 3)*(w - 1)**3
Let f(g) be the second derivative of -3*g**5/40 - 3*g**4/4 - 9*g**3/4 - 3*g**2 - 21*g. Factor f(h).
-3*(h + 1)**2*(h + 4)/2
Solve 8/3*g - 4*g**2 + 8/3*g**3 - 2/3 - 2/3*g**4 = 0.
1
Let l(q) = 2*q**2 + 2*q + 3. Let y be l(0). Factor 0*i**2 + 2/3*i**5 + 4/3*i**4 + 0*i + 0 + 2/3*i**y.
2*i**3*(i + 1)**2/3
Let y(n) be the first derivative of -n**2 + 7 - 1/2*n**4 + 0*n - 4/3*n**3. Factor y(x).
-2*x*(x + 1)**2
Let y(t) be the second derivative of -t**6/85 + t**5/34 - t**4/51 + 11*t. Factor y(r).
-2*r**2*(r - 1)*(3*r - 2)/17
Suppose -6*h = -0*h + 11*h. Suppose 0 + h*v + 2/9*v**2 = 0. Calculate v.
0
Let q be (-18)/(-153) - 166/(-34). Suppose 0 = 3*n - 5*z + 11, -5*z + q + 21 = 2*n. Factor -8/3*v - 5/3*v**2 - 1/3*v**n - 4/3.
-(v + 1)*(v + 2)**2/3
Let q be (-5)/(-3) - (-364)/(-420). Factor 0 - 6/5*w**2 + q*w.
-2*w*(3*w - 2)/5
Factor -2/5 + 3/5*z**2 - 1/5*z.
(z - 1)*(3*z + 2)/5
Let l(r) = 3*r**3 - 6*r + 3. Suppose 7*a + 0*a + 21 = 0. Let s(z) = -3*z**3 + 5*z - 2. Let o(b) = a*s(b) - 2*l(b). Determine h so that o(h) = 0.
-1, 0, 1
Let k(m) be the first derivative of 0*m + 5/3*m**3 - 2 + m**2. Factor k(d).
d*(5*d + 2)
Factor -3*a + 4*a**2 + 1 - 3*a**2 - 2*a + 3*a.
(a - 1)**2
Let o = 421 - 418. Solve 0*j + 0 + 1/3*j**2 - j**o + j**4 - 1/3*j**5 = 0.
0, 1
Let n(s) be the second derivative of s**7/231 + s**6/55 + s**5/110 - s**4/22 - 2*s**3/33 - 6*s. Let n(c) = 0. What is c?
-2, -1, 0, 1
Let i be (5 + 255/(-50))*-4. Factor 0*h - i + 2/5*h**2.
2*(h - 1)*(h + 1)/5
Let w = 0 + -3. Let f be ((-4)/12)/(4/w). What is h in -f*h + 1/4*h**4 + 1/4*h**3 - 1/4*h**2 + 0 = 0?
-1, 0, 1
Suppose 3 - 26*k - k**2 + 16*k - 7*k**2 + 15*k = 0. What is k?
-3/8, 1
Let l(v) = -8*v**2 + 2*v + 10. Let o(a) = -a**3 + a**2 - a - 1. Let g = 11 + -7. Let n(u) = g*o(u) + 2*l(u). Factor n(r).
-4*(r - 1)*(r + 2)**2
Suppose -14*z + 11*z - 3*m = 0, -4*m = -z + 10. Let -2/5*y + 2/5*y**z + 0 = 0. Calculate y.
0, 1
Let a(h) = 5*h - 91. Let v be a(19). Determine r, given that 4/9 + 56/9*r**v - 20/3*r**2 + 2/9*r - 2/9*r**3 = 0.
-1, -1/4, 2/7, 1
Factor -10/3 + 5/3*o**2 - 5/3*o.
5*(o - 2)*(o + 1)/3
Let t = -10 + 18. Suppose h + 3*h = t. Factor -5*n - 8*n**2 + 3*n - 2*n**