6*t(i) - 5*z(i). Factor x(v).
-2*(v - 5)**2
Solve 8*w**5 + 88*w**2 + 155*w**4 - 24*w + 58*w**3 - 12*w**3 + 140*w**4 - 353*w**4 = 0.
-1, 0, 1/4, 2, 6
Suppose 0 = -2*f - o - o + 108, 2*o = 5*f - 235. Let w = 52 - f. Determine b so that -14/11*b**4 - 26/11*b - 4/11 - 46/11*b**w - 54/11*b**2 = 0.
-1, -2/7
Let w = 68 - 36. Factor 4*q**3 + 32 - w*q**3 + 2*q**4 - 49*q - 31*q + 2*q**4 + 72*q**2.
4*(q - 2)**3*(q - 1)
Factor 14/3*k + 0 - 1/3*k**2.
-k*(k - 14)/3
Let h(w) be the second derivative of 0*w**2 - 3/200*w**5 + 0 + 1/100*w**6 + 0*w**3 - 1/420*w**7 + 4*w + 1/120*w**4. Find y such that h(y) = 0.
0, 1
Let t = 829/3609 - 3/401. Let f(h) be the third derivative of 0*h + 8*h**2 + 1/180*h**6 + 0 - t*h**3 + 0*h**5 - 1/12*h**4. Let f(l) = 0. Calculate l.
-1, 2
Let g = -352 + 352. Let f(j) be the third derivative of 0*j**5 + g*j + 9*j**2 + 1/60*j**6 - 1/4*j**4 + 0 - 2/3*j**3. Factor f(c).
2*(c - 2)*(c + 1)**2
Let c(n) = 7*n**3 + 2*n**2 + n. Let f be c(-1). Let t = f - -34. Factor m**5 + t*m**3 + 12*m**4 + 32*m**2 + 13*m + 4*m + m**5 + 4 + m.
2*(m + 1)**4*(m + 2)
Let k(m) be the second derivative of m**5/5 - 4*m**4 + 22*m**3/3 - 190*m + 2. Suppose k(v) = 0. Calculate v.
0, 1, 11
Suppose -2*p + 10 = 0, 0 = -0*v - 2*v + 5*p - 27. Let y(j) = -j**2. Let t(m) = -2*m**3 - 7*m**2 + 6*m. Let d(c) = v*t(c) + 3*y(c). Factor d(b).
2*b*(b - 1)*(b + 3)
Suppose -3*w = -4*f + 222, 2*f - 2*w - 2*w = 106. Let o = -55 + f. Factor -k - 1/3*k**o + 0.
-k*(k + 3)/3
Let i(r) = -r**3 - 7*r**2 - r - 13. Let v be i(-7). Let g = 10 + v. Let 52 + 10*m - g*m**2 - m**2 - 37 = 0. What is m?
-1, 3
Let b(m) = -m**3 + 31*m**2 - 31*m + 32. Let y be b(30). Let d = 143 + -140. Factor 56/3*l + 686/9*l**d + 196/3*l**y + 16/9.
2*(7*l + 2)**3/9
Let y(x) be the second derivative of -1/21*x**4 + 9*x + 6/7*x**2 + 0 + 4/21*x**3. Suppose y(c) = 0. Calculate c.
-1, 3
Let r = 32500 - 97496/3. Let 2/3 + 2/3*o**2 + r*o = 0. Calculate o.
-1
What is c in -16/7 - 4/7*c**5 - 130/7*c**3 - 82/7*c - 22*c**2 - 46/7*c**4 = 0?
-8, -1, -1/2
Let w(i) be the second derivative of -3/10*i**2 + 1/6*i**3 + 1/150*i**6 - 3/50*i**5 + 1/210*i**7 + 0 + 1/30*i**4 + 8*i. Factor w(c).
(c - 1)**3*(c + 1)*(c + 3)/5
Let r(v) = -11*v**3 - 81*v**2 - 129*v + 1269. Let z(j) = 10*j**3 + 80*j**2 + 130*j - 1260. Let x(k) = -5*r(k) - 6*z(k). Factor x(t).
-5*(t - 3)*(t + 9)**2
Let l = 589 - 589. Let t(w) be the third derivative of 2/15*w**5 + l*w**6 + 0 + 1/6*w**4 + 7*w**2 + 0*w - 4/105*w**7 - 1/84*w**8 + 0*w**3. Factor t(v).
-4*v*(v - 1)*(v + 1)**3
Factor -3*d**3 + 3*d**4 - 29*d**2 - 120 + 193*d - 12*d**2 - 13*d**2 - 37*d.
3*(d - 2)**3*(d + 5)
Let l(r) be the second derivative of r**7/35 + 54*r**6/25 + 1458*r**5/25 + 2916*r**4/5 - 101*r. Find m, given that l(m) = 0.
-18, 0
Let b = -75 - -75. Determine q so that 7*q**2 - 2*q**3 + b*q**2 + q**2 + q**4 - 7*q**2 = 0.
0, 1
Suppose -y = 10 - 12. Factor y*x**2 + 3 + 3 - 2*x - 3*x**2 - 3.
-(x - 1)*(x + 3)
Let x = -28 - -16. Let k = x - -13. Let n(h) = -h**4 - h**2 + h - 1. Let g(y) = -7*y**4 - 3*y**2 + 5*y - 5. Let d(w) = k*g(w) - 5*n(w). Factor d(b).
-2*b**2*(b - 1)*(b + 1)
Let f = -172 - -174. Let b(m) = -m**2 - 5*m + 4. Let g be b(-5). Factor -2 - 3*i**2 - 2*i**3 - g*i**2 - 6*i + i**f.
-2*(i + 1)**3
Let p(d) be the third derivative of d**7/84 + 7*d**6/180 + d**5/30 + 2*d**3/3 + 3*d**2. Let u(z) be the first derivative of p(z). Factor u(f).
2*f*(f + 1)*(5*f + 2)
Let o be ((-2300)/(-28))/5 + (-9)/21. Find f, given that -68*f**3 + o + 78*f - 100*f**3 + 34*f + 148*f**2 - 108*f**4 = 0.
-2, -1/3, -2/9, 1
Factor 206*b**4 - 11*b**2 - 23*b**3 - 98*b**4 - 110*b**4.
-b**2*(b + 11)*(2*b + 1)
Suppose 15*b = 3*b + 24. Let s(i) be the second derivative of -4/5*i**3 + 0 + 6/5*i**4 + 1/5*i**b - i. Let s(j) = 0. What is j?
1/6
Factor 2/7*h**2 + 88/7*h + 86/7.
2*(h + 1)*(h + 43)/7
Let n be 2/4*(-3 - 68/(-23)). Let p = 57/23 - n. Factor 7/2*u + 9/2*u**2 + 1/2*u**4 + 1 + p*u**3.
(u + 1)**3*(u + 2)/2
Let z(x) = 35*x**3 - 200*x**2 + 370*x - 10. Let k(o) = 11*o**3 - 67*o**2 + 123*o - 3. Let n(s) = 10*k(s) - 3*z(s). Factor n(b).
5*b*(b - 12)*(b - 2)
Let r = -792 + 797. Let h(b) be the first derivative of 5 - 7/2*b**2 - r*b**3 - b - 9/4*b**4. Suppose h(q) = 0. Calculate q.
-1, -1/3
Let w = -958/979 - -168/89. Let f be (-96)/(-154) + (-6)/(-21). Suppose -4/11*m**3 + w*m**2 - f*m**4 + 4/11*m + 0 = 0. Calculate m.
-1, -2/5, 0, 1
Let j(b) be the third derivative of 121*b**6/30 - 1496*b**5/15 + 266*b**4/3 - 32*b**3 - 665*b**2. Factor j(u).
4*(u - 12)*(11*u - 2)**2
Factor -62*p - 80*p - 70*p + 4*p**2 + 162*p - 9*p**2.
-5*p*(p + 10)
Let c(g) be the first derivative of 2*g + 0*g**4 + 4 - 3/20*g**5 + 1/2*g**3 + 0*g**2. Let j(m) be the first derivative of c(m). Factor j(o).
-3*o*(o - 1)*(o + 1)
Let m = 42 + -92. Let h = m + 52. Suppose 0*g + 4/9*g**h + 0 - 2*g**3 = 0. What is g?
0, 2/9
Let c be (-32)/(-14) - (-6)/(-21)*1. Let x(d) be the second derivative of 0*d**c + 2*d + 1/105*d**6 + 0*d**4 + 0 + 0*d**3 + 1/70*d**5. Factor x(y).
2*y**3*(y + 1)/7
Let p(n) be the first derivative of 3/40*n**5 - 1/120*n**6 - 1/4*n**4 + 0*n + 5 - 3*n**3 + 0*n**2. Let w(o) be the third derivative of p(o). Factor w(y).
-3*(y - 2)*(y - 1)
Factor -31*d - 106*d - 2*d + 145 - 5*d**2 - d.
-5*(d - 1)*(d + 29)
Factor 17*t**3 + 16*t**3 - 5202*t + 15*t**3 - 204*t**2 - 50*t**3.
-2*t*(t + 51)**2
Let i = 1969 - 1965. Let b(o) be the third derivative of 8*o**2 + 5/6*o**i + 4/3*o**3 + 1/30*o**6 + 0 + 0*o + 4/15*o**5. Find a, given that b(a) = 0.
-2, -1
Factor -48 + 1/3*h**4 - 8*h + 8*h**3 + 143/3*h**2.
(h - 1)*(h + 1)*(h + 12)**2/3
Suppose -39 + 21 + 11*x**2 - 189*x - 7*x**2 + 11*x**2 - 60 = 0. Calculate x.
-2/5, 13
Factor 1/7*i**3 + 15/7*i - i**2 - 9/7.
(i - 3)**2*(i - 1)/7
Let y be 4/(-18) - 7/(-18). Suppose 5*f - 250 = 5*k - 295, 4*k = -4*f - 36. Suppose 1/3*j**3 + y*j**2 + k - 1/6*j = 0. Calculate j.
-1, 0, 1/2
Factor 960*n**2 - 67200*n - 14111*n + 21915*n + 19*n**3 - 17404*n + 2048000 - 23*n**3.
-4*(n - 80)**3
Let m(d) be the first derivative of d**6/3 - 6*d**5/5 - 3*d**4/2 + 22*d**3/3 - 6*d**2 - 131. Let m(y) = 0. Calculate y.
-2, 0, 1, 3
Let d(c) be the third derivative of c**9/3024 + c**8/1344 - 11*c**4/24 - 5*c**2. Let h(r) be the second derivative of d(r). Factor h(v).
5*v**3*(v + 1)
Suppose 0 = 4*v - x - 15, 4*v - 27 + 9 = -2*x. Let a(o) be the second derivative of -3/4*o**3 + 4*o + 27/8*o**2 + 1/16*o**v + 0. Factor a(m).
3*(m - 3)**2/4
Let x(c) be the third derivative of -c**11/83160 + c**10/37800 - c**5/6 - 8*c**2. Let b(w) be the third derivative of x(w). Factor b(y).
-4*y**4*(y - 1)
Let o be 741/(-65) + 11 - (-58)/120. Factor -1/12*s**2 - o + 1/6*s.
-(s - 1)**2/12
Let i(w) be the first derivative of -16/7*w + 5 - 1/7*w**4 + 4/21*w**3 + 8/7*w**2. Factor i(d).
-4*(d - 2)*(d - 1)*(d + 2)/7
Let x(h) = -35*h**5 - 250*h**4 - 60*h**3 + 5*h + 5. Let t(i) = 18*i**5 + 125*i**4 + 30*i**3 - 2*i - 2. Let g(r) = -5*t(r) - 2*x(r). Factor g(u).
-5*u**3*(u + 6)*(4*u + 1)
Suppose 0 = 13*q - 15*q + 26. Factor m**2 + 12*m + 2 - q*m - 4.
(m - 2)*(m + 1)
Let n = 702731/60390 - 1/5490. Factor n + 2/11*i**3 + 24/11*i**2 + 96/11*i.
2*(i + 4)**3/11
Suppose -4*n - s + 17 = 3, 2 = -s. Determine r so that 91*r**5 + 0 - 108*r**n - 144*r**3 + 42*r**5 + 83*r**5 + 4 + 8*r**2 + 24*r = 0.
-1/3, 1/2, 1
Let a(n) = 4*n - 16. Let w be a(5). Solve 734*l - w*l**3 - 731*l + 2*l**2 + 6*l**3 - 3*l**3 = 0.
-1, 0, 3
Let c(f) be the first derivative of 8*f**2 + 16/3*f**3 + f**4 + 0*f - 11. Factor c(g).
4*g*(g + 2)**2
Suppose 20 = 5*x - x. Suppose 0 = x*b - 3*b - 6. Factor -h**4 - 3*h**4 - 2*h**4 + 20*h**4 - 4*h**b - 10*h**5.
-2*h**3*(h - 1)*(5*h - 2)
Solve 19/5*v - 2 - 8/5*v**2 - 1/5*v**3 = 0 for v.
-10, 1
Suppose 2*d + 2*d - 88 = -5*l, 0 = d - 2*l - 22. Suppose z**4 - d*z - z**3 + 22*z = 0. What is z?
0, 1
Let -405/4 - 45/2*f - 5/4*f**2 = 0. Calculate f.
-9
Let d(g) be the third derivative of g**6/300 + 2*g**5/25 + 3*g**4/4 + 18*g**3/5 + 81*g**2. Solve d(c) = 0.
-6, -3
Let b be ((-1)/(-2))/((-104)/64). Let o = b - -21/26. Factor o*r - 1/3 - 1/6*r**2.
-(r - 2)*(r - 1)/6
Let o(u) be the third derivative of 0*u + 1/350*u**7 + 1/100*u**6 + 0 + 2/5*u**3 - 1/10*u**4 + 35*u**2 - 3/100*u**5. Factor o(m).
3*(m - 1)**2*(m + 2)**2/5
Let p(n) be the second derivative of 0 + 0*n**4 + 0*n**3 + 0*n**2 + 2