ive of 0*c**3 + 1/120*c**p + 0*c - 1/240*c**6 + 1/24*c**4 + 4*c**2 + 0. Solve f(z) = 0.
-1, 0, 2
Find u, given that -570/7*u**2 - 975/7*u + 12/7*u**3 + 3/7*u**5 + 1500/7 + 30/7*u**4 = 0.
-5, 1, 4
Let s be (-63)/7*(4/36)/((-8)/12). Find l such that -s*l - 9/2 - 1/8*l**2 = 0.
-6
Let x be (2 + 27)*(2/1 + 0). Factor -u**2 + 58 - x + 3*u.
-u*(u - 3)
Let w(j) = -27*j**2 + 387*j + 84. Let h(v) = 54*v**2 - 776*v - 169. Let t(q) = -6*h(q) - 11*w(q). Factor t(p).
-3*(p - 15)*(9*p + 2)
Let w(q) = -23*q**4 + 2*q**2 - 5*q**2 + 3*q - 2*q**3 + 3*q**3 + 20*q**4 - 2. Let v(s) = s**4 - s + 1. Let k(m) = 4*v(m) + w(m). Suppose k(b) = 0. Calculate b.
-2, -1, 1
Let r = 37434/13 - 278288/91. Let b = r + 179. Factor 0 + b*l**2 + 0*l - 3/7*l**3.
-3*l**2*(l - 1)/7
Let z(y) be the first derivative of -y**5/20 + y**4/8 - y**3/12 + 110. Factor z(t).
-t**2*(t - 1)**2/4
Let l(x) be the first derivative of -3*x**5/5 - 3*x**4/4 + 14*x**3 + 36*x**2 - 189. Factor l(z).
-3*z*(z - 4)*(z + 2)*(z + 3)
Factor 2/3*o**4 + 0 + 10/3*o**2 - 4/3*o - 8/3*o**3.
2*o*(o - 2)*(o - 1)**2/3
Solve 375 - 678*w**3 + 1013*w - 381*w + 165*w**4 + 1018*w - 12*w**5 + 420*w**2 = 0.
-1, -1/4, 5
Let -395*j**2 + 14578 - 280*j - 14638 - 25*j**3 - 24*j = 0. What is j?
-15, -2/5
Let i(b) = -b**3 - 10*b**2 - 26*b - 6. Let r be i(-4). Let q be (-3)/2 + 3/1. Find d, given that -q*d**4 - 21/2*d - 15/2*d**3 - 27/2*d**r - 3 = 0.
-2, -1
Let d(s) be the second derivative of -s**5/20 + 7*s**4/4 - 49*s**3/2 + 343*s**2/2 + 5*s + 12. Suppose d(h) = 0. What is h?
7
Let m(a) = a**2 + 9*a + 11. Let d be m(-8). Find o, given that -o**d + 6*o**3 - o**5 - 3*o**5 - o**3 = 0.
-1, 0, 1
Suppose -4*h = -0*h - 8. Let z be h/8 - (-49)/28. Factor -5*w**z - 14*w**3 + 13*w**3 - 3*w**2 - 16*w.
-w*(w + 4)**2
Suppose 0 = -203*b + 148*b + 165. Find f such that 12/7*f**2 + 15/7*f + 6/7 + 3/7*f**b = 0.
-2, -1
Suppose 163 = 9*g - 26. Let -28 - 6 - 5*l**3 - 60*l - 9*l**2 - 6 - g*l**2 = 0. Calculate l.
-2
Let q(u) be the first derivative of -4/3*u**2 + 2/9*u**3 - 8/3*u - 24 + 1/6*u**4. Let q(r) = 0. What is r?
-2, -1, 2
Let f(b) be the third derivative of -3/32*b**4 + 0*b + 0 + 1/80*b**5 - 18*b**2 - 1/2*b**3. Let f(z) = 0. What is z?
-1, 4
Let s(o) = 4*o**2 - 2*o - 2. Let x(a) = 9*a**2 - 5*a - 4. Let p be (3 - (-3 - -1))*-1. Let k(i) = p*s(i) + 3*x(i). Suppose k(r) = 0. Calculate r.
-2/7, 1
Let w(s) be the second derivative of -4*s**7/21 - 17*s**6/45 + 97*s**5/30 - 11*s**4/2 + 35*s**3/9 - 4*s**2/3 + 42*s + 1. Determine j so that w(j) = 0.
-4, 1/4, 1/3, 1
Find o, given that 3 + 17 - 4 - 11 - 4*o - 2*o**2 - 7 = 0.
-1
Suppose -5*f + 8 = -2. Suppose f*w + 111 = 275. Solve 2 - w*j**2 + 30*j + 97*j**2 - 512*j**5 + 320*j**3 + 145*j**2 = 0.
-1/4, 1
Let c = -73/7 - -671/63. Factor 32/9*q + 0 - 16/9*q**2 + c*q**3.
2*q*(q - 4)**2/9
Let w(f) be the second derivative of -1/15*f**5 + 1/6*f**3 - 1/18*f**4 + 0 + 1/126*f**7 + 1/45*f**6 + 0*f**2 - 4*f. Factor w(d).
d*(d - 1)**2*(d + 1)*(d + 3)/3
Let z(n) be the second derivative of 0 - 1/12*n**4 + 0*n**3 + 1/2*n**2 + n. Suppose z(f) = 0. What is f?
-1, 1
Let v(o) be the first derivative of -13*o**7/3780 - o**6/810 - 4*o**3/3 + 26. Let p(c) be the third derivative of v(c). Factor p(u).
-2*u**2*(13*u + 2)/9
Suppose -5*w = -3*r + 26, -6 = 5*r + 3*w + w. Let -5*u + r*u**3 + 6*u**2 + 15*u - 6*u = 0. Calculate u.
-2, -1, 0
Let t(h) = -h**2 - h + 3. Let l be t(0). Suppose 0 = -2*c - 78 + 82. Factor -r**3 + 15*r**2 + c - 8*r - 4*r**l + 2*r**4 - 3*r**2 - 3*r**3.
2*(r - 1)**4
Let c(p) be the second derivative of p**4/30 - 2*p**3/5 + 9*p**2/5 + 501*p. Find b, given that c(b) = 0.
3
Let b(y) be the first derivative of -y**3/15 + 116*y**2/5 - 13456*y/5 - 152. Factor b(p).
-(p - 116)**2/5
Let s = -14 - -169/12. Let r(q) be the first derivative of -s*q**4 - 4 + 1/2*q**2 - 2/3*q + 0*q**3. Find t, given that r(t) = 0.
-2, 1
Let t(b) be the third derivative of 1/105*b**7 + 0 - 27*b**2 + 10/3*b**3 + 0*b - 1/10*b**5 - 13/12*b**4 + 1/12*b**6. Suppose t(v) = 0. What is v?
-5, -2, 1
Let j = -8546/5 + 51301/30. Factor 0 + a**2 - j*a**3 + 0*a + 1/6*a**4.
a**2*(a - 3)*(a - 2)/6
Let r be (-23)/(-20) - 4*(-12)/(-64). Factor -4/5*f + 0 - r*f**2.
-2*f*(f + 2)/5
Solve 57*c**3 + 24*c**2 + 33*c**4 + 6*c**5 + 9*c + 7*c**2 + 8*c**2 = 0.
-3, -1, -1/2, 0
Let k = 26 + -25. Let l(w) = -21*w**2 - 15*w. Let r(s) = s**2 + s. Let i(v) = k*l(v) + 18*r(v). What is a in i(a) = 0?
0, 1
Let c be (-8)/(-16) + 6/4. Find z such that 3*z**2 + c*z**5 + 2*z**3 - 23*z - 6*z**4 + 10*z + 9*z + 3*z**2 = 0.
-1, 0, 1, 2
Let a(o) be the second derivative of o**6/10 + 3*o**5/5 - 8*o**4 + 54*o. Find z, given that a(z) = 0.
-8, 0, 4
Let d be 14/(-98) + 355/525. Let y(n) be the first derivative of -1/30*n**4 + 2 - 8/15*n**2 - 2/9*n**3 - d*n. Factor y(b).
-2*(b + 1)*(b + 2)**2/15
Factor 5/2*z + 5/4 + 5/4*z**2.
5*(z + 1)**2/4
Let q(h) be the first derivative of h**9/4536 - h**7/630 + h**5/180 + 7*h**3/3 - 30. Let z(p) be the third derivative of q(p). What is j in z(j) = 0?
-1, 0, 1
Let l = -7605/368 - -339/16. Determine j, given that l + 2/23*j**2 - 14/23*j = 0.
1, 6
Factor -2/5*u**5 + 0*u**2 + 6/5*u**4 + 0 + 0*u + 8/5*u**3.
-2*u**3*(u - 4)*(u + 1)/5
Let d = 68 + -66. Factor r - 2*r + 2*r**d + 4*r - r.
2*r*(r + 1)
Let x(s) be the first derivative of -s**3/6 + 83*s**2/4 + 42*s + 293. Find k such that x(k) = 0.
-1, 84
Let b be (-4)/(-16) + -15*1/(-4). Solve -2*w**3 - 3*w**3 + 2*w**b + 4*w**3 = 0 for w.
0, 1/2
Let h(z) be the second derivative of -z**5/120 + z**3/36 - 5*z + 5. Factor h(a).
-a*(a - 1)*(a + 1)/6
Let d = -39 + 37. Let y be (-15)/108*-2 - d/9. Suppose -1/2*c**5 + 0*c + 0 - y*c**3 - c**4 + 0*c**2 = 0. Calculate c.
-1, 0
Suppose -54 = 2*p - 4*z, 2*p + 4*z = 3*p + 23. Let x = 35 + p. Factor -22*g - 12*g**2 + 34*g - 2 + 2 - x + 4*g**3.
4*(g - 1)**3
Suppose 118*s - 300 = -32*s. Factor -2/7*j**3 + 6/7 - 2*j + 10/7*j**s.
-2*(j - 3)*(j - 1)**2/7
Factor -1/7*j**3 + 1/7*j + 0 + 0*j**2.
-j*(j - 1)*(j + 1)/7
Solve -15*x**2 - 1/2*x**3 + 0*x + 0 = 0.
-30, 0
Let y = -6251/18 + 347. Let o = y - -7/9. Factor 1/6*n**2 + o*n + 1/3.
(n + 1)*(n + 2)/6
Let t(x) be the first derivative of -x**5 - 45*x**4/4 - 45*x**3 - 135*x**2/2 + 120. Factor t(d).
-5*d*(d + 3)**3
Let q(o) be the third derivative of o**7/840 - o**6/180 + o**5/120 + o**4/3 + 9*o**2. Let n(g) be the second derivative of q(g). Factor n(s).
(s - 1)*(3*s - 1)
Suppose -849 - 611 + 432 = -257*o. Factor 6/5*l**3 + 0 + 3/5*l**2 - 6/5*l - 3/5*l**o.
-3*l*(l - 2)*(l - 1)*(l + 1)/5
Let 0*o - 60*o**2 + 2/3*o**3 + 0 = 0. What is o?
0, 90
Let h(q) = -4*q**2 + 3*q - 2. Let u be h(1). Let b be 4*(u/(-2))/3. Find l, given that 0*l + l**3 - 3*l**3 + b*l = 0.
-1, 0, 1
Let v(w) be the second derivative of -135*w**7/14 - 177*w**6/2 + 62*w**5 - 35*w**4/3 + 107*w. Determine c so that v(c) = 0.
-7, 0, 2/9
Let m(r) be the first derivative of r**7/672 + r**6/48 - 32*r**3/3 + 5. Let b(i) be the third derivative of m(i). Determine c, given that b(c) = 0.
-6, 0
Suppose z + 22 = -4*i + 13, -4*z + i + 15 = 0. Let b(l) be the first derivative of -z + 0*l**3 + 0*l + 0*l**2 + 1/4*l**4. Factor b(u).
u**3
Let b(i) = -37*i**3 - 15*i**2 + 2*i. Let t(n) = 185*n**3 + 815*n**3 + 405*n**2 - 64*n + 9*n. Let m(y) = 55*b(y) + 2*t(y). Factor m(s).
-5*s**2*(7*s + 3)
Factor -69*v + 67*v - 5*v**2 + 35*v + 82*v.
-5*v*(v - 23)
Let v(c) = 6*c**3 - 13*c**2 + 12*c + 5. Let k be (-34)/10 + 10/25. Let s(l) = 3*l**3 - 6*l**2 + 6*l + 3. Let w(x) = k*v(x) + 5*s(x). Factor w(a).
-3*a*(a - 2)*(a - 1)
Let p = -219 + 220. Suppose t = -3*y - 3 - p, -5*y = -t + 20. Find v, given that 1/5*v**t + 1/5*v**3 + 0 - 3/5*v**4 - 2/5*v + 3/5*v**2 = 0.
-1, 0, 1, 2
Solve -13*j**2 + 11*j**4 - 9*j**3 + 12 + 8*j - 10*j**4 + 745*j**5 - 744*j**5 = 0.
-2, -1, 1, 3
Suppose 134 - 22 = 4*u. Let m be 74/26 - u/(-182). Find t, given that -2*t**2 + 8/3 + 2/3*t**m + 0*t = 0.
-1, 2
Let s = 1300 + -1295. Let c(m) be the first derivative of -7 + 0*m + 0*m**4 - 1/20*m**s + 1/12*m**3 + 0*m**2. Factor c(p).
-p**2*(p - 1)*(p + 1)/4
Let y(v) be the second derivative of v**7/840 + 13*v**6/360 + 2*v**5/5 + 3*v**4/2 + 5*v**3/6 - 35*v. Let i(s) be the second derivative of y(s). Factor i(z).
(z + 1)*(z + 6)**2
Let q(n) be the first derivative of 2/3*n**3 + 1/5*n**5 + 0*n + 3/4*n**4 + 0*n**2 + 9. Factor q(c).
c**2*(c + 1)*(