65*b**3 + 72*b**2 - 12*b + 203. Suppose u(q) = 0. Calculate q.
2/11, 1
Let u be 14/10*10/(-245)*-28. Find l such that -u*l**2 + 6/5*l**3 + 0 + 2/5*l = 0.
0, 1/3, 1
Let n(l) be the second derivative of 0*l**2 - 1/8*l**3 + 45*l + 1/8*l**4 + 0 - 3/80*l**5. Factor n(m).
-3*m*(m - 1)**2/4
Let v = -112 - -114. Let h(q) be the first derivative of 1/4*q**4 + v + 1/4*q + 3/4*q**2 + 3/4*q**3. Find g such that h(g) = 0.
-1, -1/4
Let r(f) = -2*f**2 + 7*f + 3. Let p(h) = -3*h**2 + 13*h + 5. Suppose 11*v + 55 = -0*v. Let d(j) = v*r(j) + 3*p(j). Solve d(g) = 0 for g.
-4, 0
Suppose 46*l + 34 = 121 + 97. Factor 2/3*v**l - 4/3 - 2*v**2 - 2/3*v**3 + 10/3*v.
2*(v - 1)**3*(v + 2)/3
Let w(f) be the third derivative of -f**7/504 - f**6/180 - f**4/8 - 49*f**2. Let d(m) be the second derivative of w(m). What is j in d(j) = 0?
-4/5, 0
Let -5*r**2 - 16*r - 36 - 35 + 46 + 46*r = 0. What is r?
1, 5
Let u be (-784)/160 - 2/20. Let g(v) = 4*v**2 + 6*v - 10. Let b(y) = -5*y**2 - 6*y + 11. Let f(r) = u*b(r) - 6*g(r). Determine q, given that f(q) = 0.
1, 5
Let r be 289/(-68)*10/(-85) + 33/6. Determine w, given that r*w + 10/3 - 4/3*w**2 = 0.
-1/2, 5
Let n(z) = -3*z - 91. Let f be n(-11). Let g be (-3)/8 + f/16 - -4. Suppose -27/5*v**2 - 6*v**3 - 9/5*v**4 + g - 6/5*v = 0. What is v?
-2, -1, -1/3, 0
Let j(t) be the first derivative of 54*t**2 + 28 - 7*t**4 + 12*t**3 + 4/5*t**5 - 216*t. Let j(x) = 0. What is x?
-2, 3
Let y = 1/5 - -1/45. Let u(m) be the first derivative of 5 - y*m**3 + 5/6*m**2 - 2/3*m. Factor u(p).
-(p - 2)*(2*p - 1)/3
Let n(w) be the second derivative of 0*w**2 + 0 + 50*w - 1/3*w**3 - 1/6*w**4. Let n(t) = 0. What is t?
-1, 0
Factor -15/4*z**2 - 1/2*z**3 + 12*z - 5.
-(z - 2)*(z + 10)*(2*z - 1)/4
Let k = 3 + -3. Suppose 3*b - 5 - 4 = k. Factor 2*f + b*f**2 + f + f**4 - f - 2*f**4.
-f*(f - 2)*(f + 1)**2
Let w(l) be the second derivative of l**5/4 + 35*l**4/4 - 60*l**3 - 159*l. Factor w(u).
5*u*(u - 3)*(u + 24)
Let g(w) = 10*w**4 - 540*w**3 - 1860*w**2 - 1310*w + 65. Let p(x) = x**4 - 49*x**3 - 169*x**2 - 119*x + 6. Let n(y) = -6*g(y) + 65*p(y). Factor n(h).
5*h*(h + 1)*(h + 5)**2
Let k(q) be the second derivative of -q**7/21 + q**5/5 - q**3/3 + 11*q - 2. Factor k(m).
-2*m*(m - 1)**2*(m + 1)**2
Let h = 13943/1230 - 406/41. Let w = 11/6 - h. Factor 54/5 - 54/5*p - w*p**3 + 18/5*p**2.
-2*(p - 3)**3/5
Let v(a) be the second derivative of a**7/42 - a**6/30 - a**5/10 + a**4/6 + a**3/6 - a**2/2 + 57*a. Factor v(s).
(s - 1)**3*(s + 1)**2
Factor 2/7*x**2 + 15/7*x - 1/7*x**3 - 36/7.
-(x - 3)**2*(x + 4)/7
Let s(x) = -101*x**3 - 1719*x**2 - 8143*x + 1200. Let o(z) = 34*z**3 + 574*z**2 + 2714*z - 400. Let m(j) = 17*o(j) + 6*s(j). Factor m(g).
-4*(g + 10)**2*(7*g - 1)
Let s(y) = -y**3 + y. Let r(t) = -5*t**5 + 20*t**4 + 27*t**3 - 180*t**2 + 138*t. Let a(v) = -r(v) + 3*s(v). Let a(j) = 0. Calculate j.
-3, 0, 1, 3
Let t(l) = -4*l**3 - 19*l**2 + 15*l - 6. Let h(a) = 2*a**2 - 2 + 5*a - 54*a**3 - 8*a**2 + 0*a + 53*a**3. Let y(w) = 21*h(w) - 6*t(w). Factor y(i).
3*(i - 2)*(i - 1)**2
Let c be (-3 - -8)*(-24)/(-30). Let 5/2*s**3 - 3/2*s**c - s**2 + 0*s + 0 = 0. What is s?
0, 2/3, 1
Let d(c) be the first derivative of c**6/6 + c**5/5 - c**4/2 - 2*c**3/3 + c**2/2 + c + 44. Factor d(m).
(m - 1)**2*(m + 1)**3
Suppose d + 8 = -4*w + 2*w, -w + 2*d = 9. Let u be (w/4)/(1/(-4)). Factor 3*q**3 - q**5 - q**2 - 2*q + q**4 - 5*q**5 + u*q**5.
-q*(q - 2)*(q - 1)*(q + 1)**2
Let s = 440/61 - -3892/915. Let v = s - 32/3. Solve v*f - 2/5 - 2/5*f**2 = 0 for f.
1
Let u(q) be the first derivative of q**5/60 - q**4/12 - q**3/2 + 11*q**2/2 - 6. Let z(s) be the second derivative of u(s). Suppose z(c) = 0. What is c?
-1, 3
Let z be -1*(4/(-8))/(45/6). Let k(t) be the third derivative of 0*t**3 + 0 + 1/60*t**6 + 1/12*t**4 - 8*t**2 + 0*t - z*t**5. Find s, given that k(s) = 0.
0, 1
Let b(m) = -4*m**2 + 50*m - 117. Let h(x) = 2*x**2 - 24*x + 58. Let y(q) = 6*b(q) + 11*h(q). Factor y(c).
-2*(c - 16)*(c - 2)
Let b be ((-3)/(-6)*2/1)/(-1). Let a be 15/(-12)*b + (-1 - 0). Factor 0*n**2 + 1/4*n + 0 - a*n**3.
-n*(n - 1)*(n + 1)/4
Solve 1/4*n + 0 - 3/8*n**5 - 11/8*n**4 - 11/8*n**3 - 1/8*n**2 = 0 for n.
-2, -1, 0, 1/3
Let m = -24 - -40. Determine y so that -m*y**2 + 8*y**5 - 4*y + 14*y**4 + 0*y**4 + 16*y**3 - 20*y**3 + 2 = 0.
-1, 1/4, 1
Let a be 2457/1521 + (-8)/(-156). Factor 40*w + a*w**2 + 240.
5*(w + 12)**2/3
Let w(b) be the first derivative of 24*b**3 + 57/4*b**4 + 0*b + 27/2*b**2 - 18 + 12/5*b**5. Factor w(o).
3*o*(o + 1)*(o + 3)*(4*o + 3)
Let w = -3/1856 - -5589/12992. What is o in w - 24/7*o + 39/7*o**2 - 18/7*o**3 = 0?
1/6, 1
Factor 10*b**2 - 5*b**3 - 4*b**2 - 4*b**3 + 33*b + 18*b**2.
-3*b*(b + 1)*(3*b - 11)
Factor 564*z**2 + 18*z - 42 - 561*z**2 - 3*z.
3*(z - 2)*(z + 7)
Let c = 175 - 173. Factor -60*w - 563*w**c - 24 + 1205*w**2 - 564*w**2 - 21*w**3.
-3*(w - 2)**2*(7*w + 2)
Let b(g) be the first derivative of 25*g**4/38 + 370*g**3/57 + 416*g**2/19 + 512*g/19 + 260. Find c, given that b(c) = 0.
-16/5, -1
Let f(u) = -6*u + 28. Let r be f(5). Let z be -3 + r/10 + (-64)/(-20). Factor z + 0*y - 2/7*y**3 + 2/7*y**2.
-2*y**2*(y - 1)/7
Let s(j) be the third derivative of -j**5/30 + 5*j**4 - 300*j**3 - 44*j**2. Let s(x) = 0. Calculate x.
30
Let f(z) be the first derivative of -z**6/6 + z**5/2 - 5*z**4/12 + 3*z - 9. Let u(v) be the first derivative of f(v). Factor u(n).
-5*n**2*(n - 1)**2
Let h be 372/216 + (-6)/4. Determine t so that -8/9 + 0*t + h*t**2 = 0.
-2, 2
Let n(p) be the second derivative of -p**7/1120 + 3*p**5/160 + p**4/16 + p**3/3 - 33*p. Let v(x) be the second derivative of n(x). Solve v(q) = 0.
-1, 2
Let r(g) = 4*g**3 + 51*g**2 + 72*g - 7. Let c(v) = -4*v**3 - 50*v**2 - 72*v + 6. Let z(d) = -7*c(d) - 6*r(d). Factor z(t).
4*t*(t + 2)*(t + 9)
Let a be 0/1 + 0 + (-47 - -52). Suppose 4*c - 27 = 5*s, 4*s + 7 = -a. Solve 1/3*t**4 + 0 + 0*t**2 + 0*t - 2/3*t**5 + 1/3*t**c = 0 for t.
-1/2, 0, 1
Let b(o) be the first derivative of -3 + 21*o**3 - 6*o**2 - 15/4*o**4 + 0*o. Factor b(k).
-3*k*(k - 4)*(5*k - 1)
Let l = 11291/5 + -33863/15. Factor 0*a**2 - l*a**4 + 4/3*a + 2/3 - 4/3*a**3.
-2*(a - 1)*(a + 1)**3/3
Let n(j) = 2*j**2 + 4*j + 2. Suppose 5*k + 0*k + 10 = 0. Let c be n(k). Solve -16 + 0 + 12*t**c - 6*t**3 + 10*t**3 = 0.
-2, 1
Let z(p) be the second derivative of 19*p**4/18 + 22*p**3/9 + p**2 + 111*p. Let z(f) = 0. What is f?
-1, -3/19
Factor -6480*g + 1807*g**4 + 6120*g**2 + 1816*g**4 - 3618*g**4 + 355*g**3.
5*g*(g - 1)*(g + 36)**2
Let o(q) be the third derivative of q**8/1680 - 3*q**6/200 + q**5/75 + q**4/10 - 34*q**2 + 3*q. Find h such that o(h) = 0.
-3, -1, 0, 2
Let s(g) be the third derivative of -g**6/100 + 47*g**5/50 - 23*g**4/10 - 44*g**2 - 2*g. Solve s(r) = 0 for r.
0, 1, 46
Let l be (-1)/(4/12) + 16. Let g = l - 11. Factor -4*a + 2 - g - 2*a**2.
-2*a*(a + 2)
Let j be 7/28*(-16)/34 + (-448)/(-1496). Factor -10/11*p + 0 + j*p**2.
2*p*(p - 5)/11
Let q(c) be the second derivative of 3*c**5/20 - c**4/2 - 5*c**3/2 + 9*c**2 - 3*c - 43. Let q(p) = 0. Calculate p.
-2, 1, 3
Let b = 6396/5 + -70346/55. Let -2/11*c**4 - 10/11*c**3 - 6/11*c**2 + 0 + b*c**5 + 0*c = 0. Calculate c.
-1, 0, 3
What is o in -1/2*o**2 - 65/2*o + 33 = 0?
-66, 1
Let c(z) be the third derivative of -z**6/480 - 17*z**5/240 - z**4/6 - 378*z**2. Factor c(y).
-y*(y + 1)*(y + 16)/4
Let q be ((-40)/(-52))/(-5) - (-46608)/11934. Let h = -60/17 + q. Factor -10/9*y**2 - h*y + 0.
-2*y*(5*y + 1)/9
Let u(f) be the third derivative of f**6/720 - f**5/45 + 5*f**4/36 - 4*f**3/9 - 2*f**2 - 9. Suppose u(k) = 0. What is k?
2, 4
Solve -854*k - 2 + 125*k**3 + 715*k**2 + 2 + 9*k - 21*k**4 + 26*k**4 = 0.
-13, 0, 1
Let y(h) be the third derivative of -h**6/150 - 16*h**5/75 - h**4/2 + 2*h**2 + 21. Solve y(d) = 0.
-15, -1, 0
Let x = -62999/90 + 700. Let l(r) be the third derivative of -4/9*r**3 - x*r**5 + 5*r**2 + 0 + 1/60*r**6 - 2/9*r**4 + 0*r. Factor l(k).
2*(k - 2)*(k + 1)*(3*k + 2)/3
Let o(h) be the third derivative of h**8/168 - 23*h**7/735 + 13*h**6/420 + 19*h**5/210 - 5*h**4/21 + 4*h**3/21 - 227*h**2. Find v such that o(v) = 0.
-1, 2/7, 1, 2
Let c(g) be the second derivative of g**7/28 + 4*g**6/5 - 21*g**5/8 + 9*g**4/4 + 2*g - 55. Factor c(h).
3*h**2*(h - 1)**2*(h + 18)/2
Let a(j) be the third derivative of -j**7/840 - j**6/240 - j**4/6 + 8*j**2. Let y(x) 