et d(b) = -10*b**3 + 32*b**2 + 38*b - 2. Let p(t) = 14*t**3 - 32*t**2 - 40*t + 3. Let r(i) = 3*d(i) + 2*p(i). Determine m so that r(m) = 0.
-1, 0, 17
Let g(l) be the third derivative of -l**3 + 0 + 20*l**2 + 1/10*l**5 + 0*l - 1/12*l**4 + 1/60*l**6. Factor g(r).
2*(r - 1)*(r + 1)*(r + 3)
Factor 1500*i**5 - 1497*i**5 + 5*i**4 - 24*i**2 - 2*i**3 + 8*i**3 + 10*i**4.
3*i**2*(i - 1)*(i + 2)*(i + 4)
Factor -160*k**2 + 7*k + 16*k**3 + 364*k - 63*k + 484.
4*(k + 1)*(2*k - 11)**2
Let v(a) be the first derivative of -a**6/24 - 3*a**5/10 - 5*a**4/16 + 81. Factor v(n).
-n**3*(n + 1)*(n + 5)/4
Let g(u) be the third derivative of u**5/240 + 11*u**4/96 - 7*u**3/4 + 4*u**2 + u. Factor g(o).
(o - 3)*(o + 14)/4
Let m(o) be the second derivative of 0 + 0*o**4 + 11*o + 0*o**3 + 1/105*o**6 + 1/70*o**5 + 0*o**2. Solve m(r) = 0.
-1, 0
Let b(x) be the first derivative of 0*x**2 + 5/3*x**6 + 0*x - 6/5*x**5 - 28 - x**4 + 0*x**3. Factor b(k).
2*k**3*(k - 1)*(5*k + 2)
Factor 56*u - 196/3 + 9*u**2 + 1/3*u**3.
(u - 1)*(u + 14)**2/3
Let p(x) be the second derivative of x**4/15 + 14*x**3/15 + 4*x**2 + 4*x - 18. Factor p(f).
4*(f + 2)*(f + 5)/5
Determine w so that 0 + 1/7*w**3 - 9/7*w - 8/7*w**2 = 0.
-1, 0, 9
Let z(v) be the first derivative of -v**5/10 + v**4/8 + 4*v**3/3 - 3*v**2 + 80. Factor z(g).
-g*(g - 2)**2*(g + 3)/2
Suppose 136*p - 271*p**2 - 137*p**2 + 4*p**5 - 140*p**3 + 132*p**4 - 199*p**2 + 475*p**2 = 0. What is p?
-34, -1, 0, 1
Suppose 3*i - 2*b + 6*b = 51, 69 = 3*i - 2*b. Solve 13 + 2*z**3 + 2*z**4 + 8 - i = 0.
-1, 0
Factor 16/5*b**2 + 0 - 2/5*b**3 + 8*b.
-2*b*(b - 10)*(b + 2)/5
Factor 3/2*h**3 + 0 + 0*h**2 - 3/2*h.
3*h*(h - 1)*(h + 1)/2
Let d be (177 + -182)*(-1 - 0)/2. Factor -1/2*g - 1 - g**3 + d*g**2.
-(g - 2)*(g - 1)*(2*g + 1)/2
Let j(h) = h**3 - 15*h**2 + h - 12. Suppose 37 = 4*w - 23. Let y be j(w). Factor -3*c**3 + 3*c**5 + c**5 + c**y - 2*c**3.
4*c**3*(c - 1)*(c + 1)
Let x be 32/30 + (-2)/5. Let b be (-85)/(-170)*24/27. Factor 0*a**2 - x*a + 2/9*a**3 + b.
2*(a - 1)**2*(a + 2)/9
Let w(u) be the first derivative of u**7/210 - u**5/10 - u**4/3 - u**3 - 10. Let v(b) be the third derivative of w(b). Factor v(m).
4*(m - 2)*(m + 1)**2
Let x(g) be the first derivative of -g**7/315 - g**6/36 - 7*g**5/90 - g**4/12 + 3*g**2/2 + 10. Let y(i) be the second derivative of x(i). Factor y(a).
-2*a*(a + 1)**2*(a + 3)/3
Find z, given that -95*z - 68*z - 94*z - z**2 - 74 + 387*z - 55*z = 0.
1, 74
Suppose 78*p - 180 = 18*p. Factor 0 + 8/3*w**p + 7/3*w**2 + w**4 + 2/3*w.
w*(w + 1)**2*(3*w + 2)/3
Let c(d) = -d + 14. Let x be c(11). Factor -3*a**2 + 4*a**2 + a**2 - 20 + x*a**2.
5*(a - 2)*(a + 2)
Let q(l) = -l**2 + 2*l + 2. Let g be q(0). Suppose -4*y = -g*y - 4. Let -k**2 - 2*k**y + 3*k + 6*k**2 = 0. Calculate k.
-1, 0
Suppose -9*z + 12 = -15. Let q(y) = 17*y**4 - 9*y**3 - y**2 + 9*y. Let a(r) = -6*r**4 + 3*r**3 - 3*r. Let o(b) = z*q(b) + 8*a(b). Factor o(m).
3*m*(m - 1)**2*(m + 1)
Find t such that 237 - 237 + 12*t + 4*t**2 = 0.
-3, 0
Let i(v) be the second derivative of v**6/24 - 5*v**5/12 + 5*v**4/8 + 15*v**3/2 + 23*v**2/2 - 21*v. Let z(s) be the first derivative of i(s). Factor z(q).
5*(q - 3)**2*(q + 1)
Let k(u) = 28*u**2 - 4*u + 16. Let x(m) = -m**2 - 1. Suppose -2*j - 2*y - 4 = -0*y, 3*j = 3*y. Let v = 7 - 31. Let i(d) = j*k(d) + v*x(d). Solve i(p) = 0.
-1, 2
Let z(t) be the first derivative of -t**6/900 + t**4/180 - 4*t**2 - 5. Let i(w) be the second derivative of z(w). Factor i(a).
-2*a*(a - 1)*(a + 1)/15
Suppose 33 = -2999*u + 3010*u. Factor 8/5*q**2 - 2/5*q**u + 0 - 8/5*q.
-2*q*(q - 2)**2/5
Let t(x) be the third derivative of x**5/420 + x**4/84 - x**3/14 - 4*x**2 - 7. Let t(s) = 0. Calculate s.
-3, 1
Suppose -1/4*i**3 + 17/4*i + 0 - 4*i**2 = 0. What is i?
-17, 0, 1
Let a be (3 + -4)*(2 - 1). Let q(s) = -5*s**5 + 3*s**3 - 8*s**2 - 6*s. Let y(b) = -b**5 + b**3 - b**2 - b. Let d(x) = a*q(x) + 6*y(x). Solve d(j) = 0.
-1, 0, 2
Let g(c) = -c**2 - 14*c + 243. Let a be g(-24). Let h be 1/3 + 10/6. Factor -9*s - s**4 - 2*s**2 - h*s**3 + a*s**2 + 11*s.
-s*(s - 1)*(s + 1)*(s + 2)
Suppose 0 = 3*a + 4*u - 23, 5*a = -3*u + 32 - 1. Determine q so that -15*q**4 + q**3 + 19*q**5 + q**a - 6*q**3 = 0.
-1/4, 0, 1
Let r(t) be the second derivative of -t**6/195 + 3*t**5/130 - 2*t - 1. Factor r(l).
-2*l**3*(l - 3)/13
Factor 82*l**2 + 63*l**4 - 409*l**5 - 135*l**3 - 13*l**2 + 412*l**5.
3*l**2*(l - 1)**2*(l + 23)
Let m(b) = 30*b + 424. Let l be m(-14). What is q in 0*q**3 + 1/7*q**2 + 2/7*q**5 + 0*q - 3/7*q**l + 0 = 0?
-1/2, 0, 1
Let i(o) = -2*o**3 - 4*o**2 + 2*o. Let v(s) = 4*s**3 + 9*s**2 - 3*s. Let l(k) = 5*i(k) + 2*v(k). What is b in l(b) = 0?
-2, 0, 1
Let x(o) = -2*o**2 - 24*o - 14. Let c be x(-11). Let s(z) = -z + 14. Let g be s(c). Solve 3*q**3 + 6*q**4 + q**4 + 2*q**2 - g*q**4 = 0 for q.
-2, -1, 0
Let f(j) be the second derivative of 8*j - 4/5*j**2 + 0 - 1/75*j**6 + 4/15*j**3 + 1/10*j**4 - 1/25*j**5. Determine a so that f(a) = 0.
-2, 1
Factor 1291*u + 12*u**5 - 164*u**4 + 286*u - 1824*u**2 + 824*u**3 - 512 + 87*u.
4*(u - 4)**3*(u - 1)*(3*u - 2)
Let i be (32/56)/((-2)/(-7)). Determine n, given that 5*n**3 + n**2 - 3*n**2 + 0*n**i - 4*n**3 + n = 0.
0, 1
Let p(t) be the third derivative of -t**6/80 + t**4 + 82*t**2. Factor p(n).
-3*n*(n - 4)*(n + 4)/2
Let m(n) be the second derivative of 5*n**9/3024 - n**7/84 + n**5/24 + 19*n**3/6 - 19*n. Let k(j) be the second derivative of m(j). Factor k(b).
5*b*(b - 1)**2*(b + 1)**2
Let l(u) be the first derivative of u**2/2 + 6*u + 2. Let a be l(-4). Factor -8 - 3*z**2 - 4*z + 4 - a*z**2 + 4*z**2.
-(z + 2)**2
Let a = 7 - -4. Let c = -8 + a. Find z such that -3/2*z**c + 3/2*z + 3/2*z**4 + 3 - 9/2*z**2 = 0.
-1, 1, 2
Suppose 1/2*d + 1/4 + 1/4*d**2 = 0. What is d?
-1
Suppose 4*v + 0*v = 5*r + 13, -r = 2*v - 3. Factor -1 + 13/2*m - 11/2*m**v.
-(m - 1)*(11*m - 2)/2
Let w(h) = -h**2 + 23*h - 73. Let m be w(4). Suppose 0*x + 4/5*x**2 + 2/5*x**5 + 0 + 0*x**4 - 6/5*x**m = 0. What is x?
-2, 0, 1
Suppose -723*j + 718*j - c + 5 = 0, -4*j - 2 = 2*c. Solve 3*m**j - 3/4*m**4 + 0*m + 3/4*m**5 - 3*m**3 + 0 = 0.
-2, 0, 1, 2
Factor -1/8*k**2 + 1/4 + 1/8*k.
-(k - 2)*(k + 1)/8
Let d(k) be the first derivative of k**6/720 + k**5/120 + k**4/48 + 11*k**3/3 + 6. Let t(i) be the third derivative of d(i). Solve t(b) = 0.
-1
Let o(g) be the second derivative of -g**8/3360 - g**7/560 - g**6/360 + 11*g**3/6 + 26*g. Let k(q) be the second derivative of o(q). Factor k(j).
-j**2*(j + 1)*(j + 2)/2
Let y = 1239 + -7411/6. Let w = 31/6 - y. Factor 8/3*z**4 + 4/3*z**3 + 0*z**2 + w*z**5 + 0 + 0*z.
4*z**3*(z + 1)**2/3
Solve 2/9 - 2/9*n**4 - 4/9*n**3 + 0*n**2 + 4/9*n = 0 for n.
-1, 1
Let y = -106503 - -12354153/116. Let i = 2/29 - y. Factor i*x - 1/2 + 5/4*x**2 - x**3.
-(x - 2)*(x + 1)*(4*x - 1)/4
Let m(g) = 0*g + 4*g + 8 - 6*g + g. Let j be m(4). Factor 2/5*a**j - 2/5*a + 0 - 6/5*a**3 + 6/5*a**2.
2*a*(a - 1)**3/5
Let p = -17 + 22. Suppose -2*h = -h - p*f, -h = -f. Let h - 2/7*o + 5/7*o**3 + 3/7*o**2 = 0. What is o?
-1, 0, 2/5
Let y be 0/(((-4)/2)/1). Suppose 1 = 2*a - l, 2*a + 2*a + l - 17 = y. Find h, given that 15*h - 15*h - 9*h**4 - 6*h**2 - 15*h**a = 0.
-1, -2/3, 0
Suppose 36 = 6*x - 0. Let w(i) be the first derivative of 3/5*i**5 - i**3 + 5 - 3/4*i**4 + 0*i**2 + 1/2*i**x + 0*i. Solve w(t) = 0.
-1, 0, 1
Determine l so that -52*l**4 - 16*l + 10 + 15*l**2 + 4*l**3 + 47*l**4 + l**3 - 9*l = 0.
-2, 1
What is b in -69/5*b - 33/5 - 39/5*b**2 - 3/5*b**3 = 0?
-11, -1
Let f be 999/8 + 13/104. Factor 15*h**2 + f + 7*h**3 - 12*h**3 + 75*h + 6*h**3.
(h + 5)**3
Solve -2*j**2 + 0 - 4/7*j**3 + 2*j**4 + 4/7*j = 0 for j.
-1, 0, 2/7, 1
Let i(d) be the first derivative of -14 - 5/3*d**3 + 15/2*d**2 + 20*d. Factor i(l).
-5*(l - 4)*(l + 1)
Suppose 4*x + 15 = -5, u = 5*x + 63. Let k = u + -32. Factor 31*f**2 + 21*f**2 - 44*f**2 + 3*f + k*f**3 - 11*f.
2*f*(f + 2)*(3*f - 2)
Let u = 2734 - 2729. What is i in 2/13*i**2 + 0 - 2/13*i**4 + 2/13*i**u + 4/13*i - 6/13*i**3 = 0?
-1, 0, 1, 2
Let b(j) be the first derivative of j**9/2016 - j**8/1120 - j**7/560 + j**6/240 + 29*j**3/3 - 18. Let s(l) be the third derivative of b(l). Factor s(k).
3*k**2*(k - 1)**2*(k + 1)/2
Let k(v) be the first derivative of -2*v**5/5 + 5*v**4/4 - v**3/3 - v**2 + 422. Solve k(i) = 0 for i.
-1/2, 0, 1, 2
Suppose -2/3*b**4 + 280/3*b - 39