-3*z - 8. Let b be (11/(-22))/(2/z). Factor t**2 - t + 25 - 11*t + b*t.
(t - 5)**2
Let s(w) be the third derivative of 17*w**6/240 + w**5/180 + 137*w**2. Let s(v) = 0. Calculate v.
-2/51, 0
Let y(f) be the second derivative of -18*f + 0*f**6 + 0*f**3 - 1/63*f**7 + 1/30*f**5 + 0 + 0*f**2 + 0*f**4. Factor y(a).
-2*a**3*(a - 1)*(a + 1)/3
Factor -408*v**3 - 1678*v**4 + 3174*v - 1681*v**4 - 4485*v**2 + 3350*v**4.
-3*v*(v + 23)**2*(3*v - 2)
Let j(r) be the third derivative of 0*r - 1/30*r**6 + 0*r**3 + 0*r**4 + 9*r**2 - 1/15*r**5 + 0. Let j(k) = 0. What is k?
-1, 0
Let c = 2944 - 2944. Factor 0 - 1/2*n**4 - 1/4*n**5 + 0*n**2 + c*n - 1/4*n**3.
-n**3*(n + 1)**2/4
Suppose 5*h - 260 = r, 0 = -0*r - 2*r - 3*h - 481. Let s = r - -495/2. Suppose 0*l + s - 5/2*l**2 = 0. Calculate l.
-1, 1
Let s be (76/18*3)/((-2)/(-3)). Factor 6*z + 21*z**2 + 46*z**3 + 2*z + s*z**2 + 14*z**4.
2*z*(z + 1)*(z + 2)*(7*z + 2)
Let p = 169 - 305/2. Let l = p - 16. Factor 1/6*o**3 + 1/2*o - l*o**2 - 1/6.
(o - 1)**3/6
Let l = 5/6584 - -172765/85592. Let p = l - 10/13. What is a in 0*a - 1/2*a**2 + 0 + p*a**3 + 7/4*a**4 = 0?
-1, 0, 2/7
Let u(q) = -9*q**3 - 40*q**2 - 14*q. Let v(t) = t + 9. Let s be v(-15). Let z(r) = -28*r**3 - 120*r**2 - 43*r. Let c(n) = s*z(n) + 17*u(n). Factor c(a).
5*a*(a + 2)*(3*a + 2)
Let q(r) = 6*r**3 - r**2 + 3*r + 3. Let p(b) = -66*b**3 + 10*b**2 - 34*b - 34. Suppose 2*f + 2 = -10. Let c(k) = f*p(k) - 68*q(k). Factor c(m).
-4*m**2*(3*m - 2)
Let y be 3656/1371*(-12)/(-10). Solve -y*j**4 - 12/5 - 68/5*j**2 + 48/5*j**3 + 2/5*j**5 + 46/5*j = 0.
1, 2, 3
Let x be 6/9 + (-73)/219. Factor 0 - 1/3*h**2 - x*h.
-h*(h + 1)/3
Suppose -41*u = -37*u - 76. Let s = u - 18. Factor -s + 3/2*x - 1/2*x**2.
-(x - 2)*(x - 1)/2
Let 24*o**2 + 4*o**3 - 8619*o + 8723*o + 84*o**2 = 0. What is o?
-26, -1, 0
Let l = -907 + 907. Let a(g) be the third derivative of 1/80*g**6 + 7*g**2 + 0*g**5 + 0*g + 0 + l*g**3 - 1/16*g**4. Suppose a(x) = 0. What is x?
-1, 0, 1
Let r(l) be the first derivative of l**3 - 2*l**2 + 2*l + 16. Let i(f) = -7*f**2 + 9*f - 5. Let g(h) = -6*i(h) - 15*r(h). Suppose g(o) = 0. Calculate o.
0, 2
Let c(l) = -3*l**4 + l**3 - 4*l**2 - 4*l. Let i(f) = 21*f**4 - 9*f**3 + 27*f**2 + 30*f. Let r(g) = 27*c(g) + 4*i(g). Let r(k) = 0. Calculate k.
-1, 0, 2
Find v, given that -9/7*v**3 + 18/7 - 39/7*v + 1/7*v**4 + 29/7*v**2 = 0.
1, 2, 3
Let -2*l**2 + 18 - 165*l + 121 + 15*l + 8 + 5*l**2 = 0. What is l?
1, 49
Let r(b) be the first derivative of -b**4/66 - 5*b**3/33 - 4*b**2/11 + 14*b + 1. Let x(l) be the first derivative of r(l). Factor x(o).
-2*(o + 1)*(o + 4)/11
Let m(s) = s. Let r(y) = 7*y + 21. Let o(l) = -4*m(l) + r(l). Let w be o(-7). Suppose 0*k**2 + w*k + 0 + 1/4*k**5 - 1/4*k**4 + 0*k**3 = 0. What is k?
0, 1
Let c(j) = j**3 - 4*j**2 + 3*j - 1. Let d be c(2). Let g = d + 5. Factor -4*t**4 - 2*t**2 + 0*t**5 - 5*t**5 - g*t**4 + 3*t**5 - 6*t**3.
-2*t**2*(t + 1)**3
Let a(f) = f**2 + 10*f - 2. Suppose -5*n + 3*n + 14 = -4*z, -2*z + 3*n + 3 = 0. Let v(p) = -2*p**2 - 19*p + 3. Let t(m) = z*v(m) - 11*a(m). Factor t(s).
(s + 2)**2
Let t = 11527/3 - 3840. Factor 22/3*o - t*o**3 - 8/3 + 23/3*o**2.
-(o - 4)*(o + 1)*(7*o - 2)/3
Let i(a) be the first derivative of a**3/5 + 21*a**2/10 + 18*a/5 + 329. Determine p, given that i(p) = 0.
-6, -1
Let k = -26961 + 53927/2. Factor -4 + 3*s**2 - k*s**3 + 2*s + 1/2*s**4.
(s - 2)**3*(s + 1)/2
Let m(k) = k**4 + k**3 - k**2. Let n(y) = 28*y**5 + 92*y**4 - 388*y**3 + 300*y**2 + 36*y - 72. Let r(z) = 4*m(z) + n(z). Factor r(q).
4*(q - 1)**3*(q + 6)*(7*q + 3)
Let l = -89 + 87. Let z be ((-6)/(-9))/(l/(-9)) - 3. Factor 0*a - 2/7*a**2 + z.
-2*a**2/7
Let c(b) be the third derivative of 7*b**6/40 + 57*b**5/10 + 60*b**4 + 64*b**3 - 5*b**2 + 9*b. Let c(r) = 0. What is r?
-8, -2/7
Let b(y) be the first derivative of y**4/20 - 2*y**3/3 + 7*y**2/10 + 18*y/5 + 103. Factor b(f).
(f - 9)*(f - 2)*(f + 1)/5
What is b in -4617 + 568*b - 4599 - 4*b**2 + 9788 = 0?
-1, 143
Let l(h) be the third derivative of h**5/240 - 5*h**4/48 + 2*h**2 + 20*h. Factor l(v).
v*(v - 10)/4
Suppose 0 = -10*s - 14*s + 4*s + 100. Let o = 3 - 1. Suppose o*a**s - 2/3*a**4 - 6*a**3 + 0 + 4/3*a - 2*a**2 = 0. Calculate a.
-1, 0, 1/3, 2
Let s(d) = -d**2 + 70*d + 152. Let f(h) = -10*h**2 + 770*h + 1670. Let b(w) = -4*f(w) + 45*s(w). Factor b(k).
-5*(k - 16)*(k + 2)
Suppose -4*a + 1 = j - 9, 3*a - 12 = -3*j. Let y be 74/185 - j/30. Factor -y*s**2 + 0*s + 1/3*s**3 + 0.
s**2*(s - 1)/3
Suppose 0 = -2*t - 70 + 76. Let c be (-6)/(((-2)/t*6)/2). Factor 2/7 - 5/7*r - 9/7*r**c - 16/7*r**2.
-(r + 1)**2*(9*r - 2)/7
Suppose 2*j + 10 = r + 3, 5*j = 5*r - 25. Let f(x) = 7*x - 21. Let y be f(r). Factor y*m**2 + 0 - 4/7*m + 4/7*m**3.
4*m*(m - 1)*(m + 1)/7
Suppose -18 - 26 = -22*w. Let x(y) be the second derivative of 0*y**w + 0 + 0*y**3 + 2*y - 1/24*y**4 - 1/40*y**5. Factor x(p).
-p**2*(p + 1)/2
Suppose 0*g + 2*g - n = 81, -4*n - 72 = -2*g. Factor 10*r**2 + 2*r**3 - 55*r**2 + 10*r - 9*r**3 + g*r**3.
5*r*(r - 1)*(7*r - 2)
Let o(g) be the second derivative of -1/2520*g**6 - 1/6*g**3 + 0*g**2 + 0*g**5 - 4*g + 0 + 1/168*g**4. Let k(a) be the second derivative of o(a). Factor k(r).
-(r - 1)*(r + 1)/7
Let w(p) = -p**2 + 11*p - 28. Let r be w(7). Let k(a) be the second derivative of r*a**3 + 0 + 0*a**2 - 1/21*a**4 - 6*a + 1/70*a**5. Let k(f) = 0. Calculate f.
0, 2
Let b = 3404 + -3400. Factor 1/3*j**b + 0 - j**3 + 0*j + 2/3*j**2.
j**2*(j - 2)*(j - 1)/3
Factor 128/9*k**3 + 1024/9 - 128/9*k**2 + 2/9*k**5 - 28/9*k**4 - 512/9*k.
2*(k - 4)**4*(k + 2)/9
Let s(u) be the first derivative of -2*u**5/5 + 2*u**3/3 + 55. Solve s(o) = 0 for o.
-1, 0, 1
Solve 6/11*n**2 - 54/11*n + 108/11 = 0 for n.
3, 6
Let 0*o + 12/5*o**2 - 64/5 - 2/5*o**3 = 0. Calculate o.
-2, 4
Let q be (-3*3)/(33/(-44)). Suppose l = -l + q. Solve l*r - 30*r - 36 - 10*r**2 + 3*r**2 + 3*r**2 = 0.
-3
Let f = 5184 - 207349/40. Let p(g) be the second derivative of 5/24*g**4 + 1/6*g**3 + 0*g**2 - f*g**5 + 1/15*g**6 - 4*g + 0. Factor p(a).
a*(a - 2)*(a - 1)*(4*a + 1)/2
Factor -558/7*j**2 + 5600 - 5520*j - 2/7*j**3.
-2*(j - 1)*(j + 140)**2/7
Determine o so that -20/7 + 24/7*o - 4/7*o**2 = 0.
1, 5
Let x(w) be the first derivative of 49*w**5/5 + 161*w**4/2 - 57*w**3 - 86*w**2 - 28*w + 44. Factor x(r).
(r - 1)*(r + 7)*(7*r + 2)**2
Suppose 5 = 34*i - 97. Let -27*f**i - 78/5*f**2 - 24/5 + 15*f**4 + 108/5*f = 0. What is f?
-1, 2/5, 2
Let h(y) be the first derivative of -2*y**3/21 - 72*y**2/7 + 146*y/7 - 40. Solve h(w) = 0 for w.
-73, 1
Suppose 0 = -66*b + 61*b - 4*v + 28, -4*b - 5*v + 26 = 0. Let 1/4*z - 1/4*z**3 - 1/2 - 1/4*z**b + 3/4*z**2 = 0. What is z?
-2, -1, 1
Let f(g) = -4*g**2 - 10*g - 1. Let y be f(-2). Factor -12*s + y*s**3 + 5*s**4 + 30*s**2 + 38*s**5 - 17*s**4 + 35*s**5 - 70*s**5 - 24.
3*(s - 2)**3*(s + 1)**2
Let m(t) be the second derivative of -t**6/285 - t**5/95 + 2*t + 8. Factor m(k).
-2*k**3*(k + 2)/19
Let y(b) = -b. Let s be y(11). Let k be (17 + s)*(-1)/(-2). Factor 30*p**2 + 2*p - 235*p**4 + 15*p**5 + 285*p**4 + 60*p**k + 3*p.
5*p*(p + 1)**3*(3*p + 1)
Let 0*j - 8/11*j**4 + 0*j**2 + 0 + 6/11*j**5 - 8/11*j**3 = 0. Calculate j.
-2/3, 0, 2
Let x = -4866 - -4868. Let -1/2*d + 1/4*d**x + 0 + 1/4*d**3 = 0. What is d?
-2, 0, 1
Find o, given that 2/7*o**2 + 58/7 - 60/7*o = 0.
1, 29
Let b = -470/29 - -1027/58. Let -3/2*v**3 + 3 - 3*v**2 + b*v = 0. Calculate v.
-2, -1, 1
Let d(y) be the third derivative of -y**9/10584 - y**8/1960 - 2*y**3 + 15*y**2. Let n(u) be the first derivative of d(u). Factor n(c).
-2*c**4*(c + 3)/7
Let f(o) be the second derivative of -19*o + o**5 + o**4 + 2/15*o**6 - 10/3*o**3 - 8*o**2 + 0. Factor f(g).
4*(g - 1)*(g + 1)**2*(g + 4)
Let s(i) = -i**2 + 3*i. Let r(p) = -6*p**2 - 117*p - 1323. Let f(o) = r(o) - 3*s(o). Find y such that f(y) = 0.
-21
Suppose -3*i**2 + 6*i**4 + 0 + 11/2*i**3 + 0*i - 5/2*i**5 = 0. Calculate i.
-1, 0, 2/5, 3
Let s = -60 - -64. Let p(b) = 20*b**3 + 4*b**2 - 7*b - 3. Let n(r) = -r**3 + r**2 + 1. Let o(l) = s*n(l) + p(l). Determine x so that o(x) = 0.
-1, 1/4
Solve 19*k**2 + 11*k**2 - 8*k**2 - 240*k**3 - 24*k + 6*k**2 + 236*k**3 = 0 for k.
0, 1, 6
Let f(m) = 5*m**2 + 45*m - 110. Let c(t) = t**2 - 1. Let g(s) = -10*c(s) + f(s). Factor g(l).
-5*(l - 5)*(l - 4)
Let w = -21377 + 320657/15. Let 0*y**3 - 4/15*y**2 + 4/15*y**4