/60 + 115*i**4/24 - 113*i**3/3 + 16*i**2 - 15. Factor n(w).
-(w - 113)*(w - 2)
Let w be (-3)/(-9) + (-142)/3. Let h = -93/2 - w. Suppose h*m**3 + 0*m + 0*m**2 + 0 = 0. Calculate m.
0
Let r(y) be the second derivative of -1/168*y**7 + 0 - 1/24*y**6 + 25/48*y**4 - 15*y - 5/3*y**3 + 1/16*y**5 + 2*y**2. What is i in r(i) = 0?
-4, 1
Let l(c) = -5*c**3 - 2*c**2 + 2*c + 1. Let m be l(-2). Suppose 8*a - m + 5 = 0. Let -49/6*h**4 + 14/3*h**a - 2/3*h**2 + 0*h + 0 = 0. What is h?
0, 2/7
Factor -27/8*z**4 + 21*z**2 - 48 - 36*z + 3/8*z**5 + 21/4*z**3.
3*(z - 4)**3*(z + 1)*(z + 2)/8
Let d(c) be the third derivative of 0*c + 1/168*c**8 + 22/525*c**7 + 16/75*c**5 + 19/150*c**6 + 13/60*c**4 - 5*c**2 + 2/15*c**3 + 0. Factor d(w).
2*(w + 1)**4*(5*w + 2)/5
Let v(l) = l**3 + l**2 + 10*l. Let p = -73 - -70. Let c(x) = -9*x. Let h(d) = p*v(d) - 4*c(d). Factor h(u).
-3*u*(u - 1)*(u + 2)
Let s be -1*(66/10 + -8). Let a(o) be the second derivative of 0*o**2 - o - 1/10*o**5 + 1/3*o**4 - s*o**6 + 0*o**3 + 0. Factor a(x).
-2*x**2*(3*x + 1)*(7*x - 2)
Let n(d) be the second derivative of d**6/225 - d**5/10 + 3*d**4/10 - 13*d**3/45 + 54*d - 1. Factor n(l).
2*l*(l - 13)*(l - 1)**2/15
Let j = -662 + 665. Let c(o) be the third derivative of 1/30*o**5 + 0 - 3/5*o**j + 0*o + o**2 - 1/20*o**4 - 1/300*o**6. What is m in c(m) = 0?
-1, 3
What is q in -3*q**4 + 7*q**3 - 448*q**5 + 36 + 3*q**2 + 445*q**5 - 60*q + 20*q**3 = 0?
-3, -2, 1, 2
Let o be ((-96)/72 + 0 + 1)*0. Let f(q) be the first derivative of 4/5*q**5 - 1/3*q**6 + q**2 - 1 + o*q**4 - 4/3*q**3 + 0*q. Factor f(a).
-2*a*(a - 1)**3*(a + 1)
Factor -105*l**2 - 67 - 24 - 7*l**3 + 3*l**3 + 294*l - 101 + 7*l**3.
3*(l - 32)*(l - 2)*(l - 1)
Factor -3 + 1/2*p**4 + 1/2*p**3 - 13/2*p - 7/2*p**2.
(p - 3)*(p + 1)**2*(p + 2)/2
Let u be 219/63 - (-40)/(-12). Factor -u*z**4 + 0*z**3 + 3/7*z**2 - 2/7*z + 0.
-z*(z - 1)**2*(z + 2)/7
Let l = -2 + 26. Suppose -4*v + l = -8. Solve 4*m**3 + 3*m - 7*m**2 - 11*m + 4*m**3 + v + m**2 - 2*m**4 = 0.
-1, 1, 2
Suppose 1/2*f**3 - 51/2*f - 2*f**2 + 27 = 0. What is f?
-6, 1, 9
Let k(u) = -15*u + 78. Let d be k(6). Let o(g) = 2*g**3 + 24*g**2 - 2*g - 21. Let j be o(d). Factor 3/4*a**2 - 3/4*a**4 - 3/2*a**j + 0 + 3/2*a.
-3*a*(a - 1)*(a + 1)*(a + 2)/4
Let y(q) be the first derivative of -343*q**5/4 - 245*q**4/4 - 35*q**3/2 - 5*q**2/2 + 14*q + 19. Let v(r) be the first derivative of y(r). Solve v(s) = 0.
-1/7
Let d(k) be the first derivative of -k**5/90 + 2*k**4/9 - 7*k**3/9 - 20*k**2 - 11. Let m(v) be the second derivative of d(v). Factor m(y).
-2*(y - 7)*(y - 1)/3
Let j be (-456)/40 + 12 + 3 + -2. Factor -2/5*v**3 + 4/5 - 1/5*v**4 + j*v + 3/5*v**2.
-(v - 2)*(v + 1)**2*(v + 2)/5
Suppose 6*a - 15 = 3*a. Suppose -8*r**4 + 12*r**2 + 8*r**3 - 6*r**a - 10*r + 0*r**5 + 8*r**3 - 4 = 0. What is r?
-2, -1, -1/3, 1
Suppose 0 = -17*c + 11*c + 24. Let a(n) be the third derivative of -1/6*n**c + 0 + 3*n**2 + 0*n**3 + 0*n - 1/30*n**5. Factor a(y).
-2*y*(y + 2)
Let z(p) be the second derivative of -p**6/60 - p**5/8 - 42*p. Suppose z(f) = 0. What is f?
-5, 0
Suppose -2*x + 10 + 6 = 0. Suppose 3*t - 5 = -2*w, 3*w + 2*t - 18 = -x. Factor -s**2 - s + 13/4*s**3 - 5/4*s**w + 0.
-s*(s - 2)*(s - 1)*(5*s + 2)/4
Let x = -43 - -52. Solve x*l**3 - 80*l - 18*l**2 - 4*l**4 - 54*l**2 - 32 - 37*l**3 = 0 for l.
-2, -1
Let l(m) = 4*m - 8. Let o(n) = -n**3 - 2*n**2 + 3*n + 2. Let t be o(-3). Let u(h) = 6*h + 16 + 3*h + 9 + h**2 - 21*h. Let g(z) = t*u(z) + 7*l(z). Factor g(j).
2*(j - 1)*(j + 3)
Suppose -3*u + 2*s + 6 = 3*s, u - 2*s = 9. Let k be (-128)/(-6) + (-7)/21. Factor -k*w - w**3 - 4*w**3 + 7*w**3 + 7*w**u - 6*w**2 - 6.
3*(w - 2)*(w + 1)*(3*w + 1)
Factor -103*x**2 - 14*x**3 - 7*x - x**4 + 4*x + 60*x**2 - 27*x.
-x*(x + 1)*(x + 3)*(x + 10)
Suppose 17*m + 8 = 21*m. Suppose -t - m*g = -13, -2*t + 3*g - 3 = -1. Determine d, given that 0 - 1/8*d**t - 1/8*d + 1/4*d**3 + 0*d**4 + 0*d**2 = 0.
-1, 0, 1
Let d = -787 + 3941/5. Determine k so that 0*k**3 - 9/5*k**2 + 3/5*k**4 - d*k + 0 = 0.
-1, 0, 2
Let q(g) be the third derivative of g**7/7560 - g**5/360 - g**4/3 - 13*g**2. Let n(d) be the second derivative of q(d). What is m in n(m) = 0?
-1, 1
Let d = 6221 + -12441/2. Factor d - 1/2*s**3 + 1/2*s - 1/2*s**2.
-(s - 1)*(s + 1)**2/2
Let b(x) be the second derivative of -x**9/5040 + x**8/1120 - x**7/840 + x**4/6 - x. Let p(v) be the third derivative of b(v). Suppose p(z) = 0. What is z?
0, 1
Let c = 251 + -251. Let q(o) be the first derivative of -3*o**2 + 5 + 2/3*o**3 + c*o. Determine h so that q(h) = 0.
0, 3
Factor -971/4*z**3 + 243*z - 1458 + 27/2*z**4 + 2889/2*z**2 - 1/4*z**5.
-(z - 18)**3*(z - 1)*(z + 1)/4
Solve -25*b**3 - 40*b**2 + 776 - 776 + 20*b = 0 for b.
-2, 0, 2/5
Let v be 2*(-7)/((-56)/8). Determine w so that 0*w**4 + 4/21*w**v + 2/7*w**3 - 2/21*w**5 + 0*w + 0 = 0.
-1, 0, 2
Determine f so that 1/5*f**2 + 1/5 + 2/5*f = 0.
-1
Let d = -15 - -20. Suppose d = 4*g - 27. Suppose -p**4 - 13*p**2 + 2*p**4 + 4 + g*p**2 = 0. What is p?
-2, -1, 1, 2
Let m(o) = -o**2 - 18*o - 17. Let t be m(-1). Let a(p) be the third derivative of -6*p**2 + 0*p + 1/33*p**3 + t*p**4 + 0 - 1/330*p**5. Factor a(g).
-2*(g - 1)*(g + 1)/11
Find w such that -56*w - 235 - 27*w**2 + 730 + 52*w**2 + 206*w - 30*w**2 = 0.
-3, 33
Factor 17/7*n**2 - 19/7*n + 2/7.
(n - 1)*(17*n - 2)/7
Let r(c) be the third derivative of -c**6/60 + c**5/30 + 3*c**4/4 - 3*c**3 - 2*c**2 + 56*c. Factor r(o).
-2*(o - 3)*(o - 1)*(o + 3)
Let u(i) be the second derivative of -5*i**6/24 - i**5/4 + 9*i**2/2 - 3*i. Let d(s) be the first derivative of u(s). Suppose d(g) = 0. What is g?
-3/5, 0
Factor 0 + 20*a - 41 - 5*a**2 + 26.
-5*(a - 3)*(a - 1)
Let s(v) be the second derivative of v**5/110 - 4*v**3/33 - 94*v + 2. Factor s(p).
2*p*(p - 2)*(p + 2)/11
Let k(z) = -z**2 + 7*z - 1. Let y be k(6). Suppose 10 + 4 = 2*c - 4*v, -c + 1 = 4*v. Factor -c*n**4 - 11*n**y - 7*n**5 + 13*n**5 + 25*n**2 + 15*n**3 + 10*n.
-5*n*(n - 2)*(n + 1)**3
Suppose 6*d - 2*d = 0. Suppose d = 5*f - 3*m, f + 14 = 5*m - 8. Factor 7*c**2 + 0*c**2 + 140*c**3 - 7*c**4 - 142*c**f + 2*c.
-c*(c - 1)*(c + 1)*(7*c + 2)
Let d = 4/251 + 239/753. Let s(o) be the second derivative of 0 - 5*o - 7/6*o**3 + o**2 + 1/5*o**5 + d*o**4. Suppose s(z) = 0. Calculate z.
-2, 1/2
Solve 40/21 - 2/21*x - 2/21*x**2 = 0.
-5, 4
Let g(b) be the third derivative of b**7/945 - 19*b**6/1080 - b**5/36 + b**4 - 12*b**2. Let r(v) be the second derivative of g(v). Factor r(n).
2*(n - 5)*(4*n + 1)/3
Let r(u) be the first derivative of u**4/2 - 4*u**3 - 63*u**2 + 784*u - 272. Let r(n) = 0. Calculate n.
-8, 7
Factor 57*h + 9 - 123/4*h**2.
-3*(h - 2)*(41*h + 6)/4
Let a = 35 + 5. Suppose a - 29*z**2 + 13*z**2 + 12*z**2 + 12*z = 0. Calculate z.
-2, 5
Let h(g) = 3*g**5 - 2*g**4 + 4*g**3 - 2. Suppose -3 = v - 9. Let a(d) = -7*d**5 + 3*d**4 - 8*d**3 + 5. Let i(t) = v*a(t) + 15*h(t). Solve i(w) = 0.
0, 2
Let x(s) = -s**3 - s**2 + s + 1. Let f(h) = 6*h**3 + 24*h**2 + 107*h + 187. Let b(a) = 2*f(a) + 10*x(a). Find k, given that b(k) = 0.
-8, -3
Factor -117/5 - 1/5*d**2 + 42/5*d.
-(d - 39)*(d - 3)/5
Let q(w) = w**2 - 4*w + 5. Suppose 5*j = 2*i + 10, -2*i - 1 = -3*j + 1. Let d be q(j). Factor 2*x**3 + d*x**3 - 5*x**3 - 6*x**2 + 8*x**2.
2*x**2*(x + 1)
Factor 17/3*f**2 + f**4 - 5*f**3 + 0 - 2*f + 1/3*f**5.
f*(f - 1)**3*(f + 6)/3
Let p(y) = -y**3 + y**2 - y + 1. Suppose -2*d - 5*d + 7 = 0. Let z be p(d). Factor 4/11*q + 2/11*q**4 + z - 4/11*q**3 - 2/11*q**2.
2*q*(q - 2)*(q - 1)*(q + 1)/11
Let k(o) be the second derivative of -o**4/12 - o**3/2 + 20*o**2 + 269*o. Factor k(b).
-(b - 5)*(b + 8)
Let v be (-7)/(-5)*(-17 + 22). Let w(z) be the second derivative of 1/24*z**3 - 1/96*z**4 + 0 - 1/16*z**2 + v*z. Let w(y) = 0. What is y?
1
Let o be (6/4)/((-2)/(-4) - 0). Let j be o + 9/(-10)*(-40)/(-16). Factor 0 - 3/4*l**5 + 0*l + 0*l**4 + j*l**3 + 0*l**2.
-3*l**3*(l - 1)*(l + 1)/4
Let y(n) be the first derivative of -n**4/12 + 83*n**3/3 - 6889*n**2/2 + 571787*n/3 + 291. Let y(v) = 0. Calculate v.
83
Let j(m) be the third derivative of -m**8/4032 - m**7/168 - m**6/16 - 7*m**5/30 + 4*m**2. Let i(g) be the third derivative of j(g). Suppose i(a) = 0. What is a?
-3
Let j(c) be the second derivative of -c**6/6 + 2*c**5 - 65*c**4/12 + 5*c**3 + 895*c. Factor j(l).
-5*l*(l - 6)*(l - 1)**2
Let h(l) be the second de