*3 + 0 - 3/7*i**2 + 0*i = 0.
0, 3
Let l(h) be the third derivative of h**7/70 + 7*h**6/10 + 101*h**5/20 + 61*h**4/4 + 24*h**3 + 326*h**2. Suppose l(j) = 0. Calculate j.
-24, -2, -1
Let q(g) = 14*g**4 - 24*g**3 + 25*g**2 + 5*g + 5. Let f(t) = 12*t**2 - 63*t**3 - 5*t + 51*t**3 + 2 + 6*t**4 + 7*t. Let b(w) = -10*f(w) + 4*q(w). Factor b(i).
-4*i**2*(i - 5)*(i - 1)
Factor -4*f**3 - 27*f + 10*f**2 + 22*f**2 - f.
-4*f*(f - 7)*(f - 1)
Suppose 27 = -5*h + 37. Let v be h - 12/(-30)*-5. Suppose v*j**4 - 3/2*j**5 - 9/2*j - 3*j**2 + 3 + 6*j**3 = 0. What is j?
-2, -1, 1
Suppose 0*w + 2*o - 12 = -2*w, 0 = -w - 5*o + 18. Factor 87*b - w - b**2 - 86*b + 3.
-b*(b - 1)
Let g(x) be the third derivative of x**6/80 + 19*x**5/120 + x**4/6 + 13*x**3/6 - 20*x**2. Let d(w) be the first derivative of g(w). Solve d(j) = 0.
-4, -2/9
Let s = -709 - -712. Let d(p) be the first derivative of 0*p + 2/3*p**s - 1/4*p**4 + 2 - 1/2*p**2. Factor d(b).
-b*(b - 1)**2
Let s(d) be the second derivative of d**5/10 + 13*d**4/6 - 14*d**3/3 - 265*d - 2. Factor s(l).
2*l*(l - 1)*(l + 14)
Let o(u) = -10*u**4 + 35*u**3 - 10*u**2 - 25*u + 25. Let r(m) = 9*m**4 - 34*m**3 + 12*m**2 + 26*m - 25. Let j(w) = -4*o(w) - 5*r(w). Factor j(n).
-5*(n - 5)*(n - 1)**2*(n + 1)
Suppose 2*i - 20 = a, -2*i + 6 = -5*a + 2. Let m be (1/2)/(i/96). Factor 53*c + 3*c**m - 53*c + 3*c**2 + 6*c**3.
3*c**2*(c + 1)**2
Factor -4 + 13*g + 2*g**3 + 23/2*g**2.
(g + 2)*(g + 4)*(4*g - 1)/2
Suppose 5 = 2*h + 4*o - 9, -2*h + 32 = -2*o. Suppose -5 - 10*y + 22*y**2 + 5 + h*y**2 = 0. Calculate y.
0, 2/7
Let t(y) be the first derivative of -7*y**5/15 - y**4 + 4*y**3/9 + 173. Factor t(x).
-x**2*(x + 2)*(7*x - 2)/3
Let p = 19 + -17. Factor 40*h - 5*h**5 + 10*h**5 - 30*h**3 - 6*h**4 + 20*h**p + h**4.
5*h*(h - 2)**2*(h + 1)*(h + 2)
Let o = -575 - -2897/5. Let q(u) be the second derivative of -6*u**4 - o*u**5 - 26/15*u**6 + 0 - 6*u - 14/3*u**3 - 2*u**2 - 2/7*u**7. Factor q(f).
-4*(f + 1)**4*(3*f + 1)
Let t = 9/2 - 43/10. Solve -12/5*u - 6/5*u**3 + t*u**4 + 4/5 + 13/5*u**2 = 0 for u.
1, 2
Let v(g) be the first derivative of 14/33*g**3 - 1 - 14/55*g**5 - 1/22*g**4 + 0*g + 1/11*g**6 - 2/11*g**2. Suppose v(l) = 0. What is l?
-1, 0, 1/3, 1, 2
Let l(v) be the first derivative of -v**3/9 + 92*v**2/3 - 8464*v/3 - 351. Factor l(z).
-(z - 92)**2/3
Let l(c) = 8*c**2 - 857*c + 60497. Let r(w) = 33*w**2 - 3429*w + 241989. Let p(o) = -21*l(o) + 5*r(o). Factor p(q).
-3*(q - 142)**2
Let i = 2678/573 + -4/573. Let 0 - 4/3*c + i*c**4 - 2*c**3 - 14/3*c**2 + 10/3*c**5 = 0. What is c?
-1, -2/5, 0, 1
Let t(q) be the first derivative of -2*q**3/15 + 82*q**2/5 - 3362*q/5 - 117. Determine o so that t(o) = 0.
41
Let r = 20 + -18. Let w(b) be the third derivative of -1/270*b**6 - 2*b**r + 0*b**4 + 0*b + 0*b**3 + 0 - 1/945*b**7 - 1/270*b**5. Factor w(u).
-2*u**2*(u + 1)**2/9
Let a(j) be the second derivative of 3*j**4/4 + 43*j**3 + 84*j**2 + 70*j. Factor a(g).
3*(g + 28)*(3*g + 2)
Let x(m) be the third derivative of 0*m**6 + 1/4*m**5 + 0 - 5/12*m**4 + 14*m**2 + 0*m - 1/42*m**7 + 0*m**3. Determine q, given that x(q) = 0.
-2, 0, 1
Let r(a) = -a**2 - 4*a - 1. Let z be r(-1). Let n be z + 5 + -7 - 1/(-6). Factor -n*h - 1/2*h**3 - 1/2*h**2 + 0 - 1/6*h**4.
-h*(h + 1)**3/6
Let h be 8*(3 + (-65)/15 + 23/15). Factor 2*y - h - 2/5*y**2.
-2*(y - 4)*(y - 1)/5
Factor 183*k**2 - 30*k**3 + 5*k**4 - 283*k**2 + 155*k**2 - 30*k.
5*k*(k - 3)*(k - 2)*(k - 1)
Factor 75*r + 2 - 2 + 4324*r**2 - 4325*r**2.
-r*(r - 75)
Suppose -163 = 2*x + 25. Let k = -92 - x. Factor -2/13*d**k + 4/13*d - 2/13.
-2*(d - 1)**2/13
Let v be 0/(5/(7/(-4 + 11))). Let i(w) be the first derivative of 0*w + 4*w**4 - 4/5*w**5 + v*w**2 - 16/3*w**3 - 5. Factor i(k).
-4*k**2*(k - 2)**2
Let q(j) = -j**3 - 2*j**2 + 5*j + 9. Let y be q(-4). Solve -y*z**2 + 9*z**2 + 2*z + 10*z**2 = 0 for z.
0, 1
Let z be (-18)/45 + (-4 - -8*(-332)/(-440)). Factor z*j - 6/11 + 24/11*j**2.
6*(j + 1)*(4*j - 1)/11
Let g be (-564)/(-7) + 27/63. Let z = 325/4 - g. Factor -3/4*i - 1/4*i**3 - 3/4*i**2 - z.
-(i + 1)**3/4
Let h(f) be the second derivative of -f**5/12 + 5*f**4/12 + 5*f**3/2 - 27*f**2/2 + 38*f. Let d(m) be the first derivative of h(m). Find w, given that d(w) = 0.
-1, 3
Let d = 622 - 619. Let n(g) be the first derivative of -9 + g**d - 1/4*g**4 - g**2 + 0*g. Factor n(q).
-q*(q - 2)*(q - 1)
Let b(h) be the first derivative of -5*h**4/4 - 5*h**3 - 5*h**2 - 120. Determine s, given that b(s) = 0.
-2, -1, 0
Factor -16/5*s**2 + 2/5*s**3 + 24/5*s + 0.
2*s*(s - 6)*(s - 2)/5
Let j(q) = q**2 + 27*q - 58. Let v(y) = -y**2 + 1. Let h(b) = -j(b) - 4*v(b). Factor h(u).
3*(u - 6)*(u - 3)
Factor 0*z + 16/5*z**5 + 6/5*z**2 + 4/5*z**3 - 26/5*z**4 + 0.
2*z**2*(z - 1)**2*(8*z + 3)/5
Let y(w) be the first derivative of -15/14*w**2 + 3/28*w**4 - 4 - 1/7*w**3 - 9/7*w. Factor y(j).
3*(j - 3)*(j + 1)**2/7
Factor 35*j**5 + 16*j - 36*j**2 + 16 + 4*j**4 - 4*j**3 - 23*j**5 - 40*j**3.
4*(j - 2)*(j + 1)**3*(3*j - 2)
Factor 32/3*s - 512/3 - 1/6*s**2.
-(s - 32)**2/6
Let r(w) be the first derivative of 0*w**2 - 1/27*w**6 + 1/18*w**4 + 1 + 0*w**3 + 0*w + 0*w**5. Suppose r(s) = 0. What is s?
-1, 0, 1
Let s(q) be the second derivative of -10*q + 0*q**3 + 1/21*q**7 + 1/6*q**4 + 0 - 1/10*q**5 - 1/15*q**6 + 0*q**2. Factor s(v).
2*v**2*(v - 1)**2*(v + 1)
Let k(d) be the first derivative of -d**4/16 - d**3/12 + d**2/4 - 277. Factor k(y).
-y*(y - 1)*(y + 2)/4
Let g = -8 - -9. Let b be g*3 + (-6)/6. Suppose 3*n**3 - b - 3*n + 0 + 0 - 2*n**3 = 0. Calculate n.
-1, 2
Suppose 0 = -31*u + 27*u + 8. Let -5*k**u + 12 - 12 = 0. Calculate k.
0
Factor -47*v**2 + 150*v - 385*v - 50 + 2*v**2.
-5*(v + 5)*(9*v + 2)
Suppose -1718*j + 36 = -1706*j. Let q(g) be the third derivative of -2/15*g**j + 4*g**2 + 0*g + 1/40*g**4 + 0 + 1/300*g**5. What is v in q(v) = 0?
-4, 1
Let w(b) be the second derivative of -b**6/900 - 7*b**5/150 - 49*b**4/60 - 343*b**3/45 - 11*b**2 + 21*b. Let l(c) be the first derivative of w(c). Factor l(x).
-2*(x + 7)**3/15
Let j(o) be the second derivative of -o**4/54 - 14*o**3/27 + 5*o**2/3 - 170*o. Factor j(c).
-2*(c - 1)*(c + 15)/9
Suppose 3*j - 5*m + 2 + 2 = 0, -2*m + 12 = 4*j. Let 2*p**j - 2*p - 2/3*p**3 + 2/3 = 0. Calculate p.
1
Let r**2 + 21 + 521*r - 451*r - 240 = 0. What is r?
-73, 3
Let r(b) be the first derivative of b**8/9240 - b**7/660 + 2*b**6/495 + 4*b**5/165 + 2*b**3/3 - 3. Let a(m) be the third derivative of r(m). Factor a(v).
2*v*(v - 4)**2*(v + 1)/11
Let d(w) be the third derivative of -w**5/630 - w**4/7 - 36*w**3/7 + 32*w**2. Factor d(k).
-2*(k + 18)**2/21
Suppose 41*s + 67 = 149. What is d in 3/2 + 3/2*d**s - 3*d = 0?
1
Let r(w) be the second derivative of -5/21*w**3 - 20*w + 0 - 2/21*w**4 - 1/7*w**2. Solve r(i) = 0 for i.
-1, -1/4
Let w be -8*14/(-144)*(-48)/(-42). Suppose -w*p + 0 - 2/9*p**3 - 10/9*p**2 = 0. Calculate p.
-4, -1, 0
Let h(m) = m**3 + 9*m**2 + 9*m + 1. Let g be h(-6). Suppose -g = -12*l + 7*l. Factor l*u**3 + 5*u**2 - 5*u**3 - 2*u - 7*u**3 - 2*u**4.
-u*(u - 1)*(u + 2)*(2*u - 1)
Let v(t) be the third derivative of t**8/420 - t**7/210 - t**6/45 + 5*t**3/2 - 10*t**2. Let r(z) be the first derivative of v(z). Factor r(m).
4*m**2*(m - 2)*(m + 1)
Let s(x) be the second derivative of x**6/12 - x**5/5 - 19*x**4/24 - x**3/2 - 33*x. Determine n, given that s(n) = 0.
-1, -2/5, 0, 3
Let m(o) be the first derivative of 2*o**4 + 8*o + 7 - 10*o**2 + 4/3*o**3. What is g in m(g) = 0?
-2, 1/2, 1
Determine l, given that -16*l - 28/3*l**2 + 16/3 = 0.
-2, 2/7
Let i(k) be the second derivative of -k**5/15 - 7*k**4/6 + 16*k**3/3 - 7*k**2 + 16*k. Let s(g) be the first derivative of i(g). Factor s(a).
-4*(a - 1)*(a + 8)
Let y(h) = 71*h**3 - 2*h**2 + 1. Let a be y(1). Factor -a - 50*r - 5*r**2 - 25 + 27 - 57.
-5*(r + 5)**2
Let h(b) be the third derivative of -b**5/30 - 11*b**4/2 - 47*b**2. Suppose h(o) = 0. What is o?
-66, 0
Let l(v) be the third derivative of -24*v**2 + 1/56*v**4 + 3/140*v**5 - 1/280*v**6 + 0 - 3/14*v**3 + 0*v. Solve l(b) = 0.
-1, 1, 3
Let z = -42 - -44. Factor -4 - 33*n**2 - 14*n**3 - 16*n - 4*n**4 - 4*n**3 + z*n**3 + 9*n**2.
-4*(n + 1)**4
Suppose 2 = x + 13. Let p = x - -15. Let -2*y - 8*y**2 + 4 - 2*y**p - 2*y**5 - y**3 + 6*y**4 + 5*y**3 = 0. Calculate y.
-1, 1, 2
Suppose -10*m + 30 = -0*m. Let 2*p**2 + 5*p**m + p**5 + 2*p**2 + 3*p**3 - 