 be -1 + 7 + 12/(-4). Factor 8/3*q**v - 2/3 + 8/3*q - 2/3*q**4 - u*q**2.
-2*(q - 1)**4/3
Let t(z) = 6*z**3 - 6*z**2 - 6*z + 10. Let n(b) = -11*b**3 + 14*b**2 + 11*b - 21. Let f(p) = -4*n(p) - 7*t(p). Factor f(j).
2*(j - 7)*(j - 1)*(j + 1)
Let v(g) be the first derivative of g**2 + 2*g - 10. Let f be v(0). Factor -12*b**5 - 4*b + 39*b**4 + 4*b**5 + 7*b**2 - 11*b**4 + 13*b**f - 36*b**3.
-4*b*(b - 1)**3*(2*b - 1)
Let z(v) be the third derivative of -v**5/15 + 5*v**4/3 + 16*v**2 + 2. Find d such that z(d) = 0.
0, 10
Suppose -u = 5*i + 2 - 1, -u + i + 5 = 0. Factor 15*v**4 - 13*v**u - 5*v**4 - 6*v + 9*v**2.
-3*v*(v - 1)**2*(v + 2)
Factor 1/8*j**4 + 693/4*j**2 + 8*j**3 + 1323*j + 9261/8.
(j + 1)*(j + 21)**3/8
Let b = 11762/21 - 560. Let f(w) be the first derivative of -1/14*w**2 - 1/28*w**4 + 0*w + b*w**3 - 3. Factor f(q).
-q*(q - 1)**2/7
Let o(i) be the first derivative of 4 - 4*i**3 - 9/2*i**4 - 3/5*i**5 + 15*i + 9*i**2. Let o(c) = 0. What is c?
-5, -1, 1
Let s(d) be the first derivative of -2*d**3/33 - 24*d**2/11 + 50*d/11 + 104. Factor s(b).
-2*(b - 1)*(b + 25)/11
Factor -16/3 + 8/3*a - 1/3*a**2.
-(a - 4)**2/3
Let m(i) be the third derivative of -i**5/20 - 33*i**4/4 + 67*i**3/2 + 285*i**2. Find z such that m(z) = 0.
-67, 1
Let x(v) be the third derivative of -v**5/160 - 53*v**4/64 - 13*v**3/4 + 8*v**2 - 1. Factor x(h).
-3*(h + 1)*(h + 52)/8
Let p = -43/23 - -439/161. Let 2/7*y**3 + 4/7 + 0*y**2 - p*y = 0. Calculate y.
-2, 1
Let n(s) = 89*s - 6850. Let j be n(77). Suppose -1/3 + 31/6*x**2 - 1/2*x + 8/3*x**4 + 8*x**j = 0. Calculate x.
-2, -1, -1/4, 1/4
Solve 45/2*y**2 - 120 + 5*y + 5/2*y**3 = 0.
-8, -3, 2
Let m(y) be the second derivative of y**6/255 - 3*y**5/85 + 3*y**4/34 + 4*y**3/51 - 12*y**2/17 + 145*y. Suppose m(j) = 0. What is j?
-1, 2, 3
Let m(b) be the first derivative of -1/10*b**6 - 3/10*b**4 + 3/5*b + 2/5*b**3 + 9/10*b**2 + 18 - 9/25*b**5. Suppose m(q) = 0. What is q?
-1, 1
Let n be (-4)/(-26) - (-579)/39. Suppose 3*p - n = -3*g, 4 = p - 3*g + 19. Factor 5*i**2 + 4*i - i**2 + p*i - 12 + 4.
4*(i - 1)*(i + 2)
Suppose -2/5*v**2 + 12/5*v - 16/5 = 0. What is v?
2, 4
Suppose -m = -5*s + 3*m, -2*s + 4*m = 0. Let g(w) be the third derivative of s*w**3 + 3*w**2 + 0 - 1/8*w**4 + 0*w - 1/20*w**5. Solve g(q) = 0 for q.
-1, 0
Let y(x) be the first derivative of -5*x**6/24 + 3*x**5/10 + 9*x**4/16 - x**3/6 + 130. What is r in y(r) = 0?
-1, 0, 1/5, 2
Factor 8427*h - 159*h**2 + 3/4*h**3 + 0.
3*h*(h - 106)**2/4
Let g be 4 + 5 + 483/(-115). Determine u, given that -2*u**2 - g*u - 8/5 = 0.
-2, -2/5
Let r(w) = -3*w**3 + 10*w**2 - 23*w - 2. Let m(g) = 10*g**3 - 30*g**2 + 68*g + 7. Let a(c) = -4*m(c) - 14*r(c). Factor a(b).
2*b*(b - 5)**2
Let n = -2280/13 + 1231213/7020. Let l(r) be the third derivative of 0*r + n*r**5 + 2/27*r**3 - 6*r**2 + 0 - 5/216*r**4. What is c in l(c) = 0?
1, 4
Let z be (-8)/44 + (-1266)/(-66). Suppose 8*o - z = 13. Factor -55/2*p + 35*p**o + 60*p**2 - 65*p**3 - 15/2*p**5 + 5.
-5*(p - 1)**4*(3*p - 2)/2
Let h(i) be the third derivative of 0*i**3 - 26*i**2 + 2/105*i**7 + 1/336*i**8 - 1/40*i**6 + 0*i + 0 - 3/10*i**5 + 0*i**4. Factor h(x).
x**2*(x - 2)*(x + 3)**2
Factor -1538*k**5 - 36*k**3 + 53*k**4 + 7*k**4 + 1522*k**5.
-4*k**3*(k - 3)*(4*k - 3)
What is t in -21*t + 23*t**2 - 3*t**4 + t**3 + 3854 - 3854 = 0?
-3, 0, 1, 7/3
Let r(o) be the second derivative of -o**6/6 + 5*o**5/4 + 15*o**4/4 - 135*o**3/2 + 270*o**2 + 337*o. Factor r(x).
-5*(x - 3)**3*(x + 4)
Let p be (4/25*-5)/(-8). Let a(y) be the first derivative of 1/20*y**4 - 2/5*y + 2/15*y**3 + 2 - p*y**2. Factor a(l).
(l - 1)*(l + 1)*(l + 2)/5
Let h(o) be the third derivative of 3*o**5/20 - 9*o**4/8 + o**3/2 - 22*o**2. Let w(q) = 10*q**2 - 26*q + 4. Let k(n) = -4*h(n) + 5*w(n). Solve k(i) = 0.
4/7, 1
Suppose o + 5*w - 28 = 0, 0 = 206*o - 202*o - 3*w + 3. Factor 0 + 6/11*l - 8/11*l**2 + 2/11*l**o.
2*l*(l - 3)*(l - 1)/11
Factor -9*o**2 + 33*o**2 - 44 + 5*o + 4 - 5 - 5*o**3 + 21*o**2.
-5*(o - 9)*(o - 1)*(o + 1)
Let c(x) = 8*x - 14. Let r be c(2). Find i, given that -77*i - 3 + 79*i - r*i**2 + 3 = 0.
0, 1
Let d(o) be the first derivative of o**5/5 + 15*o**4/4 + 61*o**3/3 + 21*o**2/2 - 98*o + 70. Factor d(l).
(l - 1)*(l + 2)*(l + 7)**2
Let k(f) be the third derivative of -f**7/42 + 23*f**6/24 + 49*f**5/12 + 125*f**4/24 + 216*f**2. Find c such that k(c) = 0.
-1, 0, 25
Suppose 101*d**2 - d**3 + 56 + 175*d**2 - 71*d**2 - 3*d**3 - 3*d**3 - 254*d = 0. Calculate d.
2/7, 1, 28
Let v(w) be the second derivative of -w**5/220 - 10*w**4/33 - 200*w**3/33 - 233*w. Suppose v(k) = 0. What is k?
-20, 0
Suppose 73 + 32 = 35*o. Factor -2/3*h**o + 4/3 + 10/3*h + 2*h**2 - 2/3*h**4.
-2*(h - 2)*(h + 1)**3/3
Suppose -3/2*p**3 + 1 - 3*p + 1/4*p**4 + 13/4*p**2 = 0. What is p?
1, 2
What is b in -10*b**2 + 1128 + 49*b**2 + 4*b**3 + 61*b**2 + 324 + 748*b = 0?
-11, -3
Suppose -304*q + 308*q = 16. Let w(f) be the third derivative of 0 - 1/30*f**5 - 4/3*f**3 - 1/3*f**q - 12*f**2 + 0*f. Find n such that w(n) = 0.
-2
Let x(m) be the third derivative of m**5/100 - m**4/20 + m**3/10 + 3*m**2 + 11*m. Factor x(o).
3*(o - 1)**2/5
Let g(b) = b**4 - 200*b**3 + 2500*b**2 - 3*b - 3. Let n(s) = -4*s**4 + 600*s**3 - 7500*s**2 + 8*s + 8. Let w(a) = -8*g(a) - 3*n(a). Factor w(k).
4*k**2*(k - 25)**2
Let f = 1397/6084 + -5/676. Suppose -f*j**2 + 2/9*j + 0 = 0. What is j?
0, 1
Let k(a) = 2*a**2 + 16*a + 18. Let j be ((-30)/(-40))/((-2)/8). Let b(c) = -c**2 - 16*c - 19. Let m(v) = j*k(v) - 2*b(v). Determine d so that m(d) = 0.
-2
Suppose 0 = -2*u + 3*x + 19, 4*x - 15 = 7*x. Let c(p) be the first derivative of 2*p**4 + 0*p**3 - 4*p**u - 3 + 4/5*p**5 - 4*p. Factor c(j).
4*(j - 1)*(j + 1)**3
Let m = -119/6 - -64/3. Let k(b) be the first derivative of -m*b**6 + 12/5*b**5 + 3/4*b**4 - 2*b**3 + 0*b + 7 + 0*b**2. Let k(l) = 0. What is l?
-2/3, 0, 1
Let l(n) be the first derivative of -10/3*n**3 + 0*n**2 - 10 - 5/4*n**4 + 0*n. Factor l(c).
-5*c**2*(c + 2)
Let i(n) be the first derivative of -2*n**5/45 + 83*n**4/18 - 168*n**3 + 19600*n**2/9 + 43904*n/9 + 135. Solve i(y) = 0.
-1, 28
Let b(c) = c**2 - 9*c + 9. Let f be b(4). Let h(j) = -14*j**2 + 3*j + 11. Let a(w) = 5*w**2 - w - 4. Let p(o) = f*a(o) - 4*h(o). Factor p(x).
x*(x - 1)
Factor -14/3*q**2 + 32/3 - 2/3*q**3 - 16/3*q.
-2*(q - 1)*(q + 4)**2/3
Let n(a) = 2*a**2 - 14*a + 12. Suppose q + 16 = 2*g, 2*q = 3 + 5. Let c be n(g). Factor -15 + 3 - c*l + 84*l - 3*l**2.
-3*(l - 2)**2
Let c(l) be the first derivative of -l**5/10 + l**4/2 - 13*l - 9. Let t(p) be the first derivative of c(p). Factor t(s).
-2*s**2*(s - 3)
Let w(b) be the first derivative of -2*b**3/27 + 17*b**2/9 - 20*b/3 - 283. Factor w(v).
-2*(v - 15)*(v - 2)/9
Let d = -8933/2 + 4468. Factor -3/2*t**3 - 3/2*t**2 + 3/2*t + d.
-3*(t - 1)*(t + 1)**2/2
Factor 59*t + 166*t**2 - 170*t**2 - 7*t.
-4*t*(t - 13)
Factor 97*z + 72 + 110*z - 3*z**2 - 222*z.
-3*(z - 3)*(z + 8)
Let u(y) be the second derivative of y**8/30240 - y**7/5670 + y**6/3240 - 7*y**4/12 + 28*y. Let h(l) be the third derivative of u(l). Factor h(f).
2*f*(f - 1)**2/9
Let n(i) be the second derivative of -1/20*i**4 + 38*i + 0 - 3/5*i**2 - 3/10*i**3. Solve n(d) = 0 for d.
-2, -1
Let j(u) be the first derivative of -u**4/6 + 40*u**3/3 - 400*u**2 + 16000*u/3 - 96. Factor j(c).
-2*(c - 20)**3/3
Let j(z) be the second derivative of 0 + 0*z**4 + 0*z**2 - 29*z - 8/3*z**3 + 1/5*z**5. Factor j(t).
4*t*(t - 2)*(t + 2)
Let q(r) = -2*r**3 + 10*r**2 - 3*r - 8. Let y be q(4). Factor y - 21*k - 6*k**2 - 38*k**5 + 24*k**3 + 18*k**5 + 17*k**5 - 6*k**4.
-3*(k - 1)**3*(k + 1)*(k + 4)
Suppose 2*m + 4*u - 1 = -69, m - 3*u = -39. Let l = m + 107. Factor -58*y**5 + 0*y - 40*y**5 + l*y**2 + 252*y**4 - 218*y**3 + y**2 - 8*y.
-2*y*(y - 1)**2*(7*y - 2)**2
Let a(d) = d**2 + 3*d - 7. Let s = -3 - 2. Let i be a(s). Factor 0 + 3/5*b**4 + 3/5*b - 3/5*b**i - 3/5*b**2.
3*b*(b - 1)**2*(b + 1)/5
Let -2/15*t**4 + 0 + 0*t + 4/15*t**3 + 0*t**2 - 2/5*t**5 = 0. Calculate t.
-1, 0, 2/3
Let w = 3823/4785 + 1/957. Let z(i) be the second derivative of -4*i**2 + 9*i + w*i**5 - 2*i**3 + 0*i**6 + 0 + 2/3*i**4 - 2/21*i**7. Solve z(a) = 0.
-1, 1, 2
Suppose v + 12 = 3*p, 3*p + 74 = 3*v + 86. Find r such that -4/3*r**3 + p*r - 8/3*r**2 + 0 = 0.
-3, 0, 1
Let p(h) be the third derivative of -h**7/10080 + h**6/720 - h**5/120 - 7*