 + n*v**3 + 0.
-v**2*(v - 2)*(v + 1)**2/2
Let m(a) be the third derivative of a**8/13440 + a**7/1008 + a**6/180 + a**5/60 + a**4/8 + 19*a**2. Let o(l) be the second derivative of m(l). Factor o(q).
(q + 1)*(q + 2)**2/2
Let m(d) be the first derivative of 21*d**4/4 - 202*d**3/9 + 11*d**2/2 + 6*d - 79. Find f such that m(f) = 0.
-2/9, 3/7, 3
Suppose -m + x + 74 = -134, -5*x - 200 = -m. Let q = m - 419/2. Factor -1/2*h + q*h**3 - 1/2*h**2 + 1/2.
(h - 1)**2*(h + 1)/2
Let n(o) be the second derivative of -o**4/12 + 7*o**3/3 - 11*o**2/2 - 18*o. Let l be n(13). Factor -3/5*q**3 + 3*q - 3/5*q**4 + 6/5 + 9/5*q**l.
-3*(q - 2)*(q + 1)**3/5
Suppose 42*c - 40*c = 16. Suppose 0*t = c*t - 168. Solve 21*s**3 + 6*s**5 + 12 + 71*s**2 - 46*s - 2*s - 63*s**4 + t*s**5 - 20*s**2 = 0 for s.
-1, 2/3, 1
Let a(c) be the first derivative of c**5/180 - c**4/18 + 2*c**3/9 + 7*c**2 - 7. Let i(q) be the second derivative of a(q). Let i(s) = 0. What is s?
2
Let l(h) be the first derivative of -5/4*h**4 + h**5 + 0*h - 10/3*h**3 - 16 + 0*h**2. Find c such that l(c) = 0.
-1, 0, 2
Suppose 28*b = -20*b + 288. Let c(y) be the third derivative of 0*y**3 + b*y**2 - 1/45*y**5 + 1/60*y**6 - 1/315*y**7 + 0*y + 0*y**4 + 0. Factor c(r).
-2*r**2*(r - 2)*(r - 1)/3
Let z(y) be the second derivative of -y**8/3360 + y**7/1260 - y**4/3 + 2*y. Let j(b) be the third derivative of z(b). Let j(g) = 0. Calculate g.
0, 1
Determine c, given that 4/7*c**2 + 1296/7 - 144/7*c = 0.
18
Let a = 5905/14 - 843/2. Determine n, given that 16/7*n**2 + a*n**3 + 0 + 32/7*n = 0.
-4, 0
Let w = -8 + 13. Let s(d) = d**3 - 5*d**2 - 21*d + 96. Let k be s(6). Factor o**2 + w - k + 4*o + 1.
o*(o + 4)
Let a(r) be the second derivative of 4*r**5 - 5*r**4/12 - 40*r**3/3 + 5*r**2/2 + 224*r. Determine j, given that a(j) = 0.
-1, 1/16, 1
Let u(d) be the first derivative of -1/120*d**6 + d**3 + 0*d**2 + 0*d + 6 - 1/8*d**4 + 1/20*d**5. Let l(f) be the third derivative of u(f). Factor l(p).
-3*(p - 1)**2
Let p be (-4)/(3 + 13/(-5)). Let c = -7 - p. What is u in 0*u**c - 2*u**2 - 3*u**5 + u**4 + u + 1 - 2*u**3 + 0*u + 4*u**5 = 0?
-1, 1
Suppose -2*k = -k + 6. Let u = 10 + k. Determine a, given that 13*a**u + 8*a**2 + 15*a**4 - 53*a**3 - 5*a**5 - 8 + 26*a**2 + 4*a = 0.
-2/5, 1, 2
Let n = -829/3 - -279. Let z(i) = i**2 + 14*i + 54. Let g be z(-7). Let 2/3*d**g + n - 8*d - 2*d**4 - 2/3*d**3 + 22/3*d**2 = 0. Calculate d.
-2, 1, 2
Factor -104/17*l**2 + 76/17*l**3 - 16/17 - 24/17*l**4 + 2/17*l**5 + 66/17*l.
2*(l - 8)*(l - 1)**4/17
Let m be -1*6*(-2)/20. Let n be 9/(-5)*(80/24)/(-10). Factor m*o + 0 - n*o**2.
-3*o*(o - 1)/5
Let g be (-11)/66 + 2/12. Suppose 27 = 5*x - 3*r, -5*x + g*x - 5*r = -35. Factor 3*y**2 - 3*y**2 + x*y**3 + 4*y**2 + 0*y**3.
2*y**2*(3*y + 2)
Suppose -4*c - 7*x + 40 = -2*x, 0 = 5*c - x - 21. Let y(f) be the first derivative of -1/4*f**4 + 2 + 0*f + 2/3*f**3 - 1/5*f**c + 0*f**2. Factor y(t).
-t**2*(t - 1)*(t + 2)
Let k be 16/5 + (-8)/40. Suppose k*t - 10 = 2. Factor -4*r**t - 5*r**5 - 2*r**3 + 0*r**3 + 2*r**5 + r**5.
-2*r**3*(r + 1)**2
Factor 36 + 5/6*z**3 - 30*z - 7*z**2 + 1/6*z**4.
(z - 6)*(z - 1)*(z + 6)**2/6
Factor -3/8*u**3 + 147/8 - 189/8*u + 45/8*u**2.
-3*(u - 7)**2*(u - 1)/8
Let p = 1 + 2. Suppose p*g - 5*g = -2. Find o, given that -o**4 - 12*o - 3 - 6*o**3 - g - 8*o**2 - 5*o**2 = 0.
-2, -1
Let j = 1032 - 1025. Let q(f) be the third derivative of 0*f**3 + 1/224*f**8 - 8*f**2 + 0*f**4 + 0*f**5 + 0*f**6 + 0*f + 0*f**j + 0. Factor q(c).
3*c**5/2
Let i be (0 + -2)/(-18)*3. Let z(v) = -v**2 + 4. Let o be z(2). Factor -i*u**3 + o + 1/3*u + 0*u**2.
-u*(u - 1)*(u + 1)/3
Factor 2/11*b**2 + 0 - 122/11*b.
2*b*(b - 61)/11
Let t(o) be the second derivative of -5/2*o**2 + 0*o**3 + 1/30*o**5 + 4*o - 1/12*o**4 + 0. Let m(f) be the first derivative of t(f). Factor m(v).
2*v*(v - 1)
Let u(l) be the second derivative of -7/2*l**5 + 3*l**4 + 68/21*l**3 - 7*l - 98/15*l**6 + 8/7*l**2 + 0. Suppose u(p) = 0. What is p?
-2/7, 1/2
Let n(x) = -621*x**4 + 2625*x**3 - 3679*x**2 + 1711*x + 8. Let f(m) = 620*m**4 - 2625*m**3 + 3680*m**2 - 1710*m - 10. Let a(z) = -4*f(z) - 5*n(z). Factor a(v).
5*v*(5*v - 7)**3
Let z(s) be the third derivative of 11*s**2 + 0*s - 1/60*s**5 + 0 - 1/6*s**3 + 1/12*s**4. Determine m so that z(m) = 0.
1
Factor 27197*o**3 - 331*o**2 + 191*o - 60 - 27041*o**3 + 194*o - 9*o**4 - 141*o.
-(o - 15)*(o - 1)*(3*o - 2)**2
Let t be 8/(-14) + 764/14. What is j in -2*j**2 - 13*j**2 + 15*j**5 + 4*j**3 + t*j**4 - 3*j**2 + 17*j**3 = 0?
-3, -1, 0, 2/5
Solve -92 + 196*u**2 + 362*u + 12 - 108*u**2 - 97*u**2 = 0.
2/9, 40
Let k = 60 + -57. Suppose 13*x**3 + 6*x**k - 3*x**4 - 25*x**3 = 0. Calculate x.
-2, 0
Suppose 0 = 142*p - 135*p. Let m(a) be the third derivative of -2*a**2 + 0 + 0*a**4 + 1/240*a**6 + 0*a**5 + 0*a + 1/672*a**8 + 1/210*a**7 + p*a**3. Factor m(z).
z**3*(z + 1)**2/2
Let m(w) be the second derivative of 1/51*w**3 - 6*w - 1/51*w**4 + 2/17*w**2 + 0 - 1/170*w**5. Factor m(x).
-2*(x - 1)*(x + 1)*(x + 2)/17
Suppose 4*m - 12 = 4*g, 2*m + 27 = -4*g + 51. Determine d so that -18/5 + 4/5*d**g + 48/5*d - 26/5*d**2 = 0.
1/2, 3
Let w(c) = -2*c - 12. Let q be w(-9). Suppose 0*n = -3*n + q. Find v such that -2 + 0*v + v + 2*v**n + 1 - v**3 - v**2 = 0.
-1, 1
Let i = 179 - 179. Let r(u) be the third derivative of -1/132*u**4 + 0 + 0*u**3 - 1/110*u**5 + i*u - 2*u**2. Determine s, given that r(s) = 0.
-1/3, 0
Suppose b - 11 + 8 = -g, 5*b + 15 = 5*g. Let l(d) be the first derivative of -64/3*d**3 + b*d + 8*d**2 - 7 + 21*d**4 - 36/5*d**5. Factor l(z).
-4*z*(z - 1)*(3*z - 2)**2
Let v(b) be the second derivative of -7/80*b**5 - 10*b + 1/30*b**6 + 0*b**2 + 0 - 7/24*b**4 - 1/8*b**3. What is q in v(q) = 0?
-1, -1/4, 0, 3
Suppose 0 = -12*w + 15*w - 1 - 8. Let 0 - 44/3*g**3 + 0*g - 38/3*g**4 - 8/3*g**2 - w*g**5 = 0. Calculate g.
-2, -2/9, 0
Let p(c) = 7*c**3 - 13*c - 10. Let t(o) = -8*o**3 + 12*o + 10. Suppose 4*w + 8 = 5*f - f, -2*f = 2. Let u(y) = w*p(y) - 2*t(y). Find s such that u(s) = 0.
-1, 2
Let c(w) be the third derivative of 0*w + 0 - 1/36*w**4 - 4/1575*w**7 + 1/225*w**6 + 1/2520*w**8 + 2/45*w**3 + 15*w**2 + 1/225*w**5. What is f in c(f) = 0?
-1, 1, 2
Let i = 248 - 2975/12. Let u(l) be the first derivative of 2/5*l**5 + 4 + 5/8*l**4 + 1/3*l**3 + i*l**6 + 0*l**2 + 0*l. Factor u(h).
h**2*(h + 1)**2*(h + 2)/2
Let -154*b**3 + 60*b**2 - b**5 - 9*b**5 + 424 - 232*b**2 - 64*b**4 - 440 - 88*b = 0. What is b?
-2, -1, -2/5
Suppose -3*y + 6*y = 3. Let x(o) = -2*o**2 + 2*o. Let f(t) = -t**2 + t. Let b(p) = y*x(p) - 4*f(p). Let b(c) = 0. What is c?
0, 1
Let n be 0 - -2 - 7/((-35)/(-6210)). Let j be 6/39 + 3 + n/455. Factor 0 + 0*h + j*h**2 + 3/7*h**5 + 9/7*h**3 + 9/7*h**4.
3*h**2*(h + 1)**3/7
Let -14/5*j - 6/5 - 1/10*j**4 - 4/5*j**3 - 23/10*j**2 = 0. What is j?
-3, -2, -1
Let h(o) = -82*o**4 - 310*o**3 + 264*o**2 - 16*o. Let i(p) = 16*p**4 + 62*p**3 - 53*p**2 + 3*p. Let f(n) = -3*h(n) - 16*i(n). Factor f(c).
-2*c**2*(c + 7)*(5*c - 4)
Let a(x) be the second derivative of -x**4/42 - 19*x**3/21 - 34*x**2/7 - 2*x - 15. Determine z, given that a(z) = 0.
-17, -2
Let h be (30/21)/(-5 - (-96)/18). Let w be (1/(-2))/(1/(-4)). Let -75/7 - 3/7*o**w + h*o = 0. Calculate o.
5
Let n(g) = -g**4 + g**2. Suppose -5*v = 5*z, -5*z - 2*v + 12 = 3. Let u(k) = k**3 - k. Let q(l) = z*n(l) + 3*u(l). Factor q(x).
-3*x*(x - 1)**2*(x + 1)
Let f = 2329 - 2325. Solve -15/4*v**3 + 3*v + 0 + 3/4*v**5 + 0*v**2 + 0*v**f = 0.
-2, -1, 0, 1, 2
What is n in 0 - 14/5*n**4 + 16/5*n + 56/5*n**2 + 36/5*n**3 - 2*n**5 = 0?
-2, -1, -2/5, 0, 2
Let s(q) = 22*q**3 - 101*q**2 + 172*q - 93. Let m(w) = -5*w**3 + 25*w**2 - 43*w + 23. Let j(y) = -9*m(y) - 2*s(y). Find x, given that j(x) = 0.
1, 21
Suppose -5*f = 3*g - 3*f - 25, 0 = 4*g - f - 26. Solve -4*j - g*j**2 + 3*j**2 - 2*j**2 = 0.
-2/3, 0
Let p(h) be the first derivative of 2*h**5/45 - 5*h**4/18 + 2*h**3/9 + h**2 + 28. Solve p(i) = 0.
-1, 0, 3
Let r(o) be the third derivative of 0*o - 1/5*o**5 + 0*o**3 - 3*o**2 + 0 + 1/3*o**4 + 1/30*o**6. Solve r(k) = 0.
0, 1, 2
Let w(m) = m**3 - 3*m**2 + 4*m**2 + 4*m - 1 - 5*m**2. Let h be w(3). Find d, given that -d**3 - 2*d**3 + h*d**2 + 4*d + d**3 = 0.
-1, 0, 2
Factor 95*u + 58*u - 17*u**3 - 30 - 60*u**2 - 28*u - 18*u**3.
-5*(u - 1)*(u + 3)*(7*u - 2)
Suppose 171*u + 288*u**3 + 194*u - 297*u - 276*u**2 -