 1/525*u**7 - 1/60*u**4 - 2*u**2 + 0*u + 0*u**q - 1/100*u**6 + 0. Factor f(z).
2*z*(z - 1)**3/5
Let p(a) be the third derivative of -1/135*a**6 + 0*a + 1/27*a**5 + 1/12*a**4 + 2/27*a**3 + 0 - 5/1512*a**8 - 2*a**2 - 4/315*a**7. Find x, given that p(x) = 0.
-1, -2/5, 1
Let a be ((-2)/(-20))/((-3)/(-12)). Factor 6/5*i + 2/5*i**3 + a + 6/5*i**2.
2*(i + 1)**3/5
Suppose -8*m**2 - 3*m**3 - 98 + 2 + 7*m**3 - 80*m = 0. What is m?
-2, 6
Let l(f) be the second derivative of -f**6/900 + f**5/300 + f**4/30 - 2*f**3/3 - 3*f. Let m(y) be the second derivative of l(y). Factor m(z).
-2*(z - 2)*(z + 1)/5
Let y(k) be the first derivative of k**5 + 5*k**4 + 10*k**3 + 10*k**2 + 5*k + 2. Factor y(m).
5*(m + 1)**4
Suppose c = 2*c. Let j(f) be the second derivative of 1/27*f**4 + 0 - 2*f - 1/27*f**3 + c*f**2 - 1/90*f**5. Factor j(u).
-2*u*(u - 1)**2/9
Let n(w) be the third derivative of 7/150*w**5 + 1/15*w**3 + 1/12*w**4 + 0*w + 0 + 2*w**2 + 1/100*w**6. Suppose n(c) = 0. What is c?
-1, -1/3
Let s(y) be the first derivative of 14/5*y**5 - 32/3*y**3 + 5/2*y**4 + 0*y + 4*y**2 + 1. Suppose s(g) = 0. Calculate g.
-2, 0, 2/7, 1
Let g(h) be the third derivative of h**5/240 - h**4/48 + h**3/24 - 5*h**2. Suppose g(s) = 0. Calculate s.
1
Let v = -67 + 217/3. Let j be (-244)/(-96) - (-1)/(4 + 4). Find y, given that 0 + v*y**2 - j*y - 10/3*y**3 + 2/3*y**4 = 0.
0, 1, 2
Let i(a) = a**2 + 5*a + 8. Let c(q) = 2*q**2 + 10*q + 17. Let v(s) = -4*c(s) + 10*i(s). Factor v(h).
2*(h + 2)*(h + 3)
Let b be (-14)/63 - 4/(-18). Let r be 3 + (b - 2) + 1. Suppose -2/7*h + 4/7*h**r + 0 - 2/7*h**3 = 0. What is h?
0, 1
Suppose 27*w - 26*w - 3 = 0. Let v(c) be the third derivative of -1/30*c**6 + 0*c**4 + 0*c**w - 3*c**2 + 0 + 0*c - 1/56*c**8 + 0*c**5 - 1/15*c**7. Factor v(d).
-2*d**3*(d + 2)*(3*d + 1)
Let k = -869/285 + 63/19. Let b(f) be the second derivative of k*f**3 + 4/5*f**2 + 0 + 3*f + 1/30*f**4. What is v in b(v) = 0?
-2
Suppose 1/2*x + 0 + 0*x**2 - 1/2*x**3 = 0. Calculate x.
-1, 0, 1
Let d(t) be the third derivative of t**8/672 + t**7/210 + t**6/240 + 5*t**2. Factor d(a).
a**3*(a + 1)**2/2
Find i such that -12*i + 4*i**2 + 19 - 2*i**2 - 10 + 9 = 0.
3
Let u(b) be the third derivative of 1/10*b**4 + 1/40*b**6 + 0*b - b**2 + 0*b**3 - 6/175*b**7 + 3/25*b**5 + 0 - 9/560*b**8. Determine d, given that u(d) = 0.
-1, -2/3, 0, 1
Let c be 4/20 + (-2)/10. Let d be 0 - (c/(-1) - 2). Determine h, given that h**d + h**2 + 2*h**4 + 4*h**3 + 0*h**2 = 0.
-1, 0
Let q(z) be the third derivative of -z**6/60 + 2*z**5/15 - z**4/4 + 23*z**2. Factor q(d).
-2*d*(d - 3)*(d - 1)
Suppose -12*i + 15*i + 5*v - 10 = 0, -i + 10 = 5*v. Suppose -5*o = -o - 8. Find f, given that f**5 + 2/3*f**4 + i*f - 1/3*f**3 + 0*f**o + 0 = 0.
-1, 0, 1/3
Let y(f) be the third derivative of f**7/350 - f**6/30 + 11*f**5/300 + f**4/20 + 53*f**2. Factor y(z).
z*(z - 6)*(z - 1)*(3*z + 1)/5
Suppose -3*i = -5*a - 6, -5*a = 5*i - 2*a - 10. Let p(d) be the first derivative of 1/7*d**i + 0*d + 2/21*d**3 - 1. Find l such that p(l) = 0.
-1, 0
Let g(s) be the third derivative of -s**8/1680 + s**7/525 + s**6/300 - s**5/75 - s**4/120 + s**3/15 - 14*s**2. Solve g(p) = 0.
-1, 1, 2
Let n(c) = -2*c - 6. Let y be n(-4). Factor -s**2 - 8*s - s**3 - 6 - s**2 - 3*s**y + 2.
-(s + 1)*(s + 2)**2
Let o(d) be the third derivative of d**5/120 + d**4/48 - 14*d**2. Solve o(z) = 0 for z.
-1, 0
Let b(j) be the third derivative of j**6/90 - 11*j**5/180 + 5*j**4/72 + j**3/9 - 9*j**2. Let b(i) = 0. Calculate i.
-1/4, 1, 2
Let w = -539 - -2697/5. Factor 0 - 16/5*z**5 - w*z - 36/5*z**3 + 14/5*z**2 + 8*z**4.
-2*z*(z - 1)*(2*z - 1)**3/5
Let c be 3 - (2 + (-28)/4). Let b = c - 8. Find q such that 1/2*q - q**3 + 1/2*q**5 + 0*q**4 + 0*q**2 + b = 0.
-1, 0, 1
Solve -2/9*t**3 + 2/3*t - 4/9 + 0*t**2 = 0 for t.
-2, 1
Let u = -162/5 - -1498/45. Factor -10/9*q**3 - 2/9*q**5 - u*q**4 + 0*q + 0 - 4/9*q**2.
-2*q**2*(q + 1)**2*(q + 2)/9
Let v(h) = 2*h - 1. Let q be v(1). Let y be 6*4/(35 + q). Determine m, given that y - m + 1/3*m**2 = 0.
1, 2
Let p(i) = -i**3 - 31*i**2 - 77*i - 43. Let f(l) = -15*l**2 - 39*l - 21. Let q(n) = 5*f(n) - 3*p(n). Factor q(z).
3*(z + 2)**3
Let h(n) = 50*n**2 + 120*n - 83. Let o(u) = -25*u**2 - 60*u + 42. Let m(a) = 3*h(a) + 7*o(a). Determine w so that m(w) = 0.
-3, 3/5
Let y(g) be the first derivative of -g**8/1680 - g**7/420 + g**5/60 + g**4/24 + g**3 + 3. Let v(a) be the third derivative of y(a). Solve v(i) = 0 for i.
-1, 1
Let o be (1 + 1/(-1))/1. Let u(b) be the third derivative of o*b + 1/6*b**3 + 0 + 1/24*b**4 - b**2 - 1/60*b**5 - 1/120*b**6. Suppose u(d) = 0. Calculate d.
-1, 1
Factor -1/5*k**2 + 0*k + 1/5.
-(k - 1)*(k + 1)/5
Let d(l) be the first derivative of 0*l + 1/15*l**5 + 4/9*l**3 + 2 + 0*l**2 - 1/3*l**4. Find c, given that d(c) = 0.
0, 2
Factor 0*g + 1/2*g**3 + 0*g**2 + 0.
g**3/2
Let u(j) be the first derivative of 2*j**3/21 - 6*j**2/7 + 16*j/7 + 1. Factor u(w).
2*(w - 4)*(w - 2)/7
Let u(q) be the first derivative of 5*q**4/4 + 11*q**3/2 + 3*q**2 - 9*q + 6. Let l(k) be the first derivative of u(k). Solve l(r) = 0.
-2, -1/5
Suppose 5*c + v - 31 = 0, -3*c = -c - 3*v - 9. Let r be ((-10)/c + 2)/1. Factor -t**2 - 1/3 - t - r*t**3.
-(t + 1)**3/3
Let b(f) be the first derivative of -f**6/40 - 3*f**5/20 - 3*f**4/8 - f**3/2 + 3*f**2/2 - 4. Let n(d) be the second derivative of b(d). Factor n(w).
-3*(w + 1)**3
Let c be 6/(4 + -1)*-2. Let a = c + 8. Factor 2/7*h + 2/7*h**2 + 0 - 2/7*h**a - 2/7*h**3.
-2*h*(h - 1)*(h + 1)**2/7
Suppose -s**2 + 24*s**5 - 4*s**4 + 3*s**2 + s**3 - 27*s**5 = 0. What is s?
-1, 0, 2/3
Suppose -2*i - 13 = -4*w - 5, 2*w + 20 = -5*i. Let 0 - 1/3*d**3 + d**2 + w*d = 0. Calculate d.
0, 3
Factor 1/2*s**2 + 0*s + 0 - 1/4*s**3.
-s**2*(s - 2)/4
Let q be -1*(-3 - (-1 - 0)). Let i be 3*1/3*3. Solve j**q - 2*j + 7*j - i*j = 0.
-2, 0
Let b(n) be the second derivative of n**7/21 + 4*n**6/15 - n**5/10 - 2*n**4/3 - 35*n. Let b(p) = 0. Calculate p.
-4, -1, 0, 1
Let m(u) = -u + 14. Let t be m(10). Let q be 24/(-16)*t/(-3). Solve -1/4*a**q - 1/2 - 3/4*a = 0.
-2, -1
Let u = -3 + 8. What is g in g**3 + 7*g**4 + 4*g**5 - g**u + 0*g**5 + 4*g**3 + g**2 = 0?
-1, -1/3, 0
Suppose 0 = -2*n - 1 + 7. Factor -s**3 - 1 - n*s + 2*s**3 + 0*s**3 - 1.
(s - 2)*(s + 1)**2
Let z(x) be the first derivative of -2*x**3/3 - 3*x**2 - 4*x + 2. Let z(a) = 0. Calculate a.
-2, -1
Let u(k) = -15*k**2 + 6*k + 12. Let n(o) = -o**2 + 1. Let q(w) = -12*n(w) + u(w). Factor q(y).
-3*y*(y - 2)
Let f(y) be the second derivative of -1/6*y**4 + 0 + 0*y**2 + 1/3*y**3 - 6*y. Factor f(g).
-2*g*(g - 1)
Find t, given that 4*t**4 + 6*t**4 + 5*t - 5*t**4 + 15*t**2 + 15*t**3 = 0.
-1, 0
Let y(n) be the third derivative of -n**7/105 + n**6/30 - n**5/30 - 6*n**2. Factor y(w).
-2*w**2*(w - 1)**2
Let q = -1236 + 1236. Suppose -42/5*i**5 - 4/5*i**2 + 0 + q*i + 8*i**4 + 6/5*i**3 = 0. Calculate i.
-1/3, 0, 2/7, 1
Let n(v) be the first derivative of -v**4/4 - 3*v**3/2 - 3*v**2 - 4*v + 3. Let b(o) be the first derivative of n(o). Find g such that b(g) = 0.
-2, -1
Let g(w) = -w**3 + w**2 + w + 4. Let n be g(2). Let x(h) be the first derivative of h**4 + 0*h**3 - 2*h - n*h**2 - 4 + 2/5*h**5. Factor x(j).
2*(j - 1)*(j + 1)**3
Let v(b) = -5*b**5 - 28*b**4 - 27*b**3 - 8*b**2 + 2*b. Let i(m) = 9*m**5 + 55*m**4 + 53*m**3 + 17*m**2 - 5*m. Let a(d) = -2*i(d) - 5*v(d). Factor a(l).
l**2*(l + 1)*(l + 3)*(7*l + 2)
Suppose -6*v + 3 - 27 = 0. Let u be (-22)/(-10) - v/(-20). Factor 0*b + 2/7*b**4 + 2/7*b**3 + 0*b**u + 0.
2*b**3*(b + 1)/7
Let q(m) be the first derivative of 3/4*m**4 - 3/2*m**2 - 2 + 3*m - m**3. Factor q(k).
3*(k - 1)**2*(k + 1)
Factor 2/3*d**4 + 10/3*d - 4/3 - 2/3*d**3 - 2*d**2.
2*(d - 1)**3*(d + 2)/3
Let j(z) be the first derivative of -z**9/1944 - z**8/630 - z**7/1260 + z**6/810 - 7*z**3/3 + 5. Let d(x) be the third derivative of j(x). Solve d(g) = 0 for g.
-1, 0, 2/7
Determine s so that 5 - 1 + 1 - 2*s**2 - 3 = 0.
-1, 1
Let k(y) be the third derivative of y**5/330 - y**4/44 - 10*y**3/33 + 10*y**2. Factor k(p).
2*(p - 5)*(p + 2)/11
Let l be (1/123)/((-3)/9). Let y = l + 45/164. Let -1/4*s + 0 + 0*s**2 + y*s**3 = 0. Calculate s.
-1, 0, 1
Let u(r) = r**2 - 10*r + 2. Let b be u(10). Let 1 + n**2 - b*n**2 + n + 0 - n**3 + 0*n**3 = 0. Calculate n.
-1, 1
Let b(c) be the third derivative of c**6/300 - c**5/75 