0*x**2 - 105*x + 45. Let r(w) = 4*c(w) - 15*o(w). Factor r(t).
-5*t*(t - 3)*(t - 2)
Let t(j) = -j**3 - j**2 + j + 1. Let r(m) = 2*m**3 - 6*m**2 - 3*m + 5. Let k(s) = -r(s) + t(s). What is a in k(a) = 0?
-1, 2/3, 2
Let n(l) = -l**3 - l. Suppose 0*d + a - 10 = 2*d, 2*d + 4 = 4*a. Let b(t) = 11*t**3 - 5*t**2 + t + 5. Let o(u) = d*n(u) - b(u). Find j, given that o(j) = 0.
-1, 1
Suppose 0*h - 2*q = 3*h + 38, 4*q - 8 = 0. Let a = 17 + h. Find z, given that -54/5*z - 2/5*z**a - 18/5*z**2 - 54/5 = 0.
-3
Let f be 9 - (8721/133)/17. Solve -32/7*o - 4/7*o**3 + f*o**2 + 0 = 0.
0, 1, 8
Let n(g) be the third derivative of -g**6/600 + g**5/100 + 2*g**4/15 + 2*g**3/5 + 3*g**2 + 19*g. Solve n(m) = 0 for m.
-2, -1, 6
Let g be 11/(-22) - (-2)/4. Suppose g = 4*i + 8*i + 8*i. Find l, given that 2/5*l**5 - 4/5*l**3 + 0 + 2/5*l + 0*l**2 + i*l**4 = 0.
-1, 0, 1
Let m be (-323)/(-17) - (0 + -1). Let y be ((-64)/m)/(4/(-10)). Factor -2*n + y*n**2 + 2*n**2 - 9*n**2 + 0*n + n**3.
n*(n - 1)*(n + 2)
Let p = -46 + 51. Suppose -p*g + 4 + 10 = -2*n, 12 = 4*n. Factor -95*u**2 + 0 + 10*u + 525/2*u**3 - 245/4*u**g - 1715/4*u**5.
-5*u*(u + 1)*(7*u - 2)**3/4
Suppose 0*c - 12 = -5*c - 2*t, -9 = -5*c + t. Find i such that -11*i + 44*i**3 - 50*i**3 + 33*i**c - 15 - i = 0.
-1/2, 1, 5
Let i(n) = -2*n**2 - 10*n + 20. Let j(c) = 4*c - 3*c - 3*c - c + 7 - c**2. Let p(g) = -3*i(g) + 8*j(g). Find q such that p(q) = 0.
1, 2
Let h = 24103/10 - 2410. Factor -2/5 + h*a + 1/10*a**2.
(a - 1)*(a + 4)/10
Let k = 82 - 63. Factor 240*p + 65*p**3 - 11*p**4 + 55*p**3 - k*p**4 + 3*p**5 - 96 - 240*p**2.
3*(p - 2)**5
Suppose -12*f + 39 - 3 = 6*f. Factor -1 - y - 1/4*y**f.
-(y + 2)**2/4
Factor 0*j + 0 + 4/9*j**3 + 2/9*j**5 - 2/3*j**4 + 0*j**2.
2*j**3*(j - 2)*(j - 1)/9
Let l be (-5*(-1)/10)/(3/(-144)). Let b be l/(-56) - 26/(-70). Suppose 0 + 4/5*p**3 - b*p**4 + 0*p**2 + 0*p = 0. What is p?
0, 1
Let x(p) be the second derivative of -5/2*p**2 + 8*p + 0 - 5/2*p**3 - 5/12*p**4 + 1/3*p**6 + 3/4*p**5. Solve x(s) = 0.
-1, -1/2, 1
Find y, given that 3*y**2 + 2*y**2 + 6*y + 9 - 4*y**2 + 0*y**2 = 0.
-3
Let v(t) be the third derivative of -t**6/24 - t**5/2 - 25*t**4/24 + t**2 + 149*t. Determine o so that v(o) = 0.
-5, -1, 0
Factor -47 + 5*k**3 + 7*k**4 - 9*k**2 + 102 - 53 - 5*k.
(k - 1)*(k + 1)**2*(7*k - 2)
Let u(b) be the second derivative of 13/5*b**5 + 0*b**2 + 0 - 4*b**4 + 2/21*b**7 - 4*b + 8/3*b**3 - 4/5*b**6. Solve u(r) = 0 for r.
0, 1, 2
Factor 10/13*o**3 + 20/13*o - 46/13*o**2 + 16/13.
2*(o - 4)*(o - 1)*(5*o + 2)/13
Let s(k) be the second derivative of -k**4/20 + k**3/5 + 21*k**2/2 - 94*k - 2. Solve s(c) = 0.
-5, 7
Let o = 116 - 122. Let j be o/51 + 4/34. Find y such that 0 + j*y**2 + 0*y + 1/2*y**4 - y**3 = 0.
0, 2
Suppose 4/7*a**2 - 1/7*a**3 - 18/7 + 3/7*a = 0. Calculate a.
-2, 3
Let f = 221/1470 - 5/294. Factor -f*w**3 + 0*w**2 + 0*w + 0 - 2/15*w**4.
-2*w**3*(w + 1)/15
Let y(c) be the second derivative of -7*c**6/600 + 3*c**5/50 + c**4/10 - 5*c**3/3 + 9*c. Let q(r) be the second derivative of y(r). Find t such that q(t) = 0.
-2/7, 2
Let y = -24019/30 - -4004/5. Suppose 1/3*r**2 - 1/6*r**4 - 1/6*r - 1/6*r**5 + 1/3*r**3 - y = 0. Calculate r.
-1, 1
Suppose -108 = -1220*w + 1193*w. Factor -11/2*o**3 - 10*o - 12*o**2 - 7/8*o**w - 2.
-(o + 2)**3*(7*o + 2)/8
Determine t so that 3/8*t**5 - 3/8*t**2 - 9/2 + 3/8*t**4 - 27/8*t**3 + 15/2*t = 0.
-3, -2, 1, 2
Let h be 10/(-12) - 608/(-384). Let o(l) be the second derivative of 0*l**2 - h*l**4 - 9/4*l**3 - 3/40*l**5 - 6*l + 0. What is a in o(a) = 0?
-3, 0
Factor -2/3*d + 2*d**3 + 0 + 7/9*d**2 + 5/9*d**4.
d*(d + 1)*(d + 3)*(5*d - 2)/9
Let o(t) = t**2 + 6*t + 4. Let d(m) = 1. Let z(a) = 4*d(a) + o(a). Factor z(x).
(x + 2)*(x + 4)
Let u(y) = 2*y**4 - 18*y**3 - 9*y**2 + 55*y - 27. Let z(b) = b**4 + b**3 - 2*b**2 - 1. Let l(p) = -u(p) - 3*z(p). Factor l(n).
-5*(n - 3)*(n - 1)**2*(n + 2)
Let n(d) = -d**2 + 3*d + 44. Let g be n(0). Suppose -5*r**4 + 35*r**2 + 4405*r - 14 + g + 5*r**3 - 4470*r = 0. What is r?
-3, 1, 2
Let v be (-1*(-23 - -13))/(7 + -2). What is t in 0*t + 0*t**v - 1/3*t**4 + 0 - 2/3*t**3 = 0?
-2, 0
Suppose 134*r - 312 = 90. Factor 0 + 2/19*p + 12/19*p**2 + 10/19*p**r.
2*p*(p + 1)*(5*p + 1)/19
Let g(h) be the first derivative of h**6/195 + h**5/65 - h**4/78 - 2*h**3/39 + 10*h - 15. Let x(j) be the first derivative of g(j). Suppose x(i) = 0. What is i?
-2, -1, 0, 1
Let y(z) be the third derivative of -30*z**3 + 0 - 17*z**2 + 0*z - 5/2*z**4 - 1/12*z**5. Factor y(v).
-5*(v + 6)**2
Let g(q) be the second derivative of 0*q**2 - 1/39*q**4 + 1/39*q**3 - 3*q + 0 + 1/130*q**5. Factor g(i).
2*i*(i - 1)**2/13
Let p(t) = t + 13. Let h be p(-10). Factor 0*l + h*l - l**4 + 5*l**2 - l**3 + 2*l**3.
-l*(l - 3)*(l + 1)**2
Let j(h) be the first derivative of 3*h**5/10 - 3*h**4/2 - 11*h**3/2 - 9*h**2/2 - 116. Suppose j(b) = 0. What is b?
-1, 0, 6
Let u(g) be the second derivative of g**5/170 - 33*g**4/34 + 1089*g**3/17 - 35937*g**2/17 - 202*g + 2. What is j in u(j) = 0?
33
Let n(p) be the second derivative of p**8/11200 + p**7/4200 - p**6/600 + 5*p**4/4 + p. Let s(b) be the third derivative of n(b). Factor s(d).
3*d*(d - 1)*(d + 2)/5
Let z(j) be the second derivative of j**6/15 + j**5/3 + 2*j**4/3 + 2*j**3/3 + j**2/3 + 76*j + 4. Factor z(m).
2*(m + 1)**3*(3*m + 1)/3
Let f be (-6)/(-15)*5/6. Let o(q) be the second derivative of 4*q - 1/12*q**4 + 0 - 1/2*q**2 - f*q**3. Factor o(b).
-(b + 1)**2
Suppose 2/3*o**3 - 16/3*o - 8 + 2/3*o**2 = 0. What is o?
-2, 3
Suppose 0*o = -o + y + 5, 5*y + 16 = 2*o. Suppose s - 8 = -3*s. Factor d**2 + 11*d**s - 4*d - o*d**2 + 10*d + 1.
(3*d + 1)**2
Let g(t) be the first derivative of t**8/3360 - t**6/144 + t**4/12 + 13*t**3 + 33. Let s(p) be the third derivative of g(p). Suppose s(z) = 0. Calculate z.
-2, -1, 1, 2
Suppose -3*r = 2*r, 5*r = 4*w - 112. Factor -64 + w*p**2 - 68*p + 272*p**3 - 77*p - 76*p**3 - 15*p.
4*(p - 1)*(7*p + 4)**2
Let s(r) = 2*r**2 - 15*r - 1. Let y be s(8). Suppose f = -y + 9. Solve 3/5*o**3 + 2/5*o + 0 + o**f = 0.
-1, -2/3, 0
Let m(t) = t**3 - t**2 - t. Let u(b) = -2*b**3 - 13*b**2 + 72*b. Let n(h) = -3*m(h) + u(h). Suppose n(o) = 0. Calculate o.
-5, 0, 3
Let u(s) = -s**2 - 16*s - 44. Let t be u(-12). Let z(k) be the second derivative of -5/2*k**3 + 0 + k**t - 3/20*k**5 + 2*k + 3*k**2. What is i in z(i) = 0?
1, 2
Let a = 4228 - 4226. Let 0*q**a - 3/10*q - 1/5 + 1/10*q**3 = 0. What is q?
-1, 2
Let k(y) = -4*y**2 + 3*y - 2. Let m(i) = -1. Let j(g) = k(g) - 3*m(g). Factor j(n).
-(n - 1)*(4*n + 1)
Let n(a) be the second derivative of 1/10*a**5 + 9*a - 3*a**2 + 7/3*a**3 - 5/6*a**4 + 0. Factor n(z).
2*(z - 3)*(z - 1)**2
Let x(p) = -15*p**2 + 34*p + 225. Let w(z) = -19*z**2 + 35*z + 225. Let a(k) = -4*w(k) + 5*x(k). Solve a(r) = 0.
-15
Let z(m) be the second derivative of m**5/60 - m**4/8 - 4*m**2 + 23*m. Let f(d) be the first derivative of z(d). Factor f(h).
h*(h - 3)
Let g be 5 + (3 - (3 - -2)). Let i(y) be the second derivative of 0 + 0*y**2 - 5*y + 2/15*y**g + 1/5*y**4. Suppose i(j) = 0. Calculate j.
-1/3, 0
Let u(p) be the third derivative of 3*p**8/784 + 2*p**7/147 + 13*p**6/840 + p**5/210 + 107*p**2. Suppose u(v) = 0. Calculate v.
-1, -2/9, 0
Solve 0*f + 9/4*f**4 + 0*f**2 + 3/2*f**3 + 0 + 3/4*f**5 = 0.
-2, -1, 0
Suppose 43*n - 36 = 37*n. Let y(t) be the third derivative of -1/135*t**5 + 0 + 1/108*t**4 - 3*t**2 + 0*t**3 + 1/540*t**n + 0*t. Find r such that y(r) = 0.
0, 1
Let v(o) be the first derivative of -19*o**4 + 24*o + 28/5*o**5 + 38*o**2 + 40 - 52/3*o**3. Let v(k) = 0. What is k?
-1, -2/7, 1, 3
Factor -22/9*z**2 + 0 + 4/3*z + 2/9*z**4 + 8/9*z**3.
2*z*(z - 1)**2*(z + 6)/9
Let h(a) = -3*a + 4*a + 9 + 3*a - 7*a. Let i be h(5). Let y(b) = -5*b**2 + 36*b + 54. Let f(k) = -3*k**2 + 18*k + 27. Let n(s) = i*y(s) + 11*f(s). Factor n(z).
-3*(z + 3)**2
Suppose 20 = 5*g - 2*f, 0 = g + f - 4. Factor 8*b - 2*b**3 + g - 2*b + 0*b**3.
-2*(b - 2)*(b + 1)**2
Let i(t) be the first derivative of -t**6/75 - t**5/15 - t**4/15 - t**2 - 24. Let l(w) be the second derivative of i(w). Suppose l(k) = 0. Calculate k.
-2, -1/2, 0
What is z in 4*z - 5*z**3 + 0*z**3 - z**3 + 5*z**3 = 0?
-2, 0, 2
Let k(w) be the first derivative of -7*w**4/8 + 19*w**3/3 - 57*w**2/4 + 9*w - 363. Let k(z) = 0. What is z?
3/7, 2, 3
Let k(a) be the third derivative of a**8/2