e first derivative of v(o). Let p(k) = 0. Calculate k.
-6, 0
Let 8*r**2 + 3200/11 - 2/11*r**3 - 1120/11*r = 0. Calculate r.
4, 20
Suppose 11*r = -5*r. Let o = -607/7 + 87. Factor -4/7*a**2 + 2/7*a**3 + o*a + r.
2*a*(a - 1)**2/7
Let g(f) = -59*f - 2710. Let p be g(-46). Factor 0*b - 3/2*b**3 + 3/2*b**p - 1/2*b**5 + 0 + 1/2*b**2.
-b**2*(b - 1)**3/2
Factor 2/3*d**2 - 4/9*d + 0*d**3 + 0 - 2/9*d**4.
-2*d*(d - 1)**2*(d + 2)/9
Suppose -32/7*q**3 - 148/7*q**2 - 162/7*q - 8 + 2/7*q**5 + 12/7*q**4 = 0. What is q?
-7, -1, 4
Let c(b) = -8*b**2 - 40*b - 48. Suppose 4*m - 3 + 4 = -5*t, 3*m - 13 = -t. Let u(w) = 2*w**2 + 10*w + 12. Let h(p) = m*c(p) + 26*u(p). Factor h(g).
4*(g + 2)*(g + 3)
Suppose 0 = 213*n - 495 + 69. Factor 8/3*w**n - 4/3*w + 0.
4*w*(2*w - 1)/3
Let d(w) be the third derivative of 0*w**5 - 48*w**2 + 0*w + 1/144*w**4 + 0*w**3 + 0 - 1/720*w**6. Factor d(g).
-g*(g - 1)*(g + 1)/6
Let b be (468/2457)/((-2)/(-42)). Factor 2/11*c**5 - 14/11*c - 4/11*c**b - 4/11*c**3 + 16/11*c**2 + 4/11.
2*(c - 1)**4*(c + 2)/11
Let c(u) = -3*u**3 - 19*u**2 - 78*u - 64. Let n(w) = -16*w**3 - 96*w**2 - 389*w - 320. Let v(h) = -22*c(h) + 4*n(h). Factor v(o).
2*(o + 1)*(o + 8)**2
Factor 76/3 - 22/3*m**3 + 4/3*m - 1/3*m**4 - 19*m**2.
-(m - 1)*(m + 2)**2*(m + 19)/3
Solve 0 - 196/9*s**3 + 94/9*s**4 - 14/9*s**5 + 104/9*s**2 + 16/3*s = 0.
-2/7, 0, 2, 3
Suppose -4*w = -w - 4*w. Let i(s) be the second derivative of 1/10*s**5 + 1/30*s**6 + w*s**3 + 0*s**2 + 1/12*s**4 + 0 - 2*s. Factor i(r).
r**2*(r + 1)**2
Suppose -5 = v - 7. Suppose -3*k - 3*k**2 - 2*k**2 + 3*k**3 + 2*k**v + 3 = 0. What is k?
-1, 1
Suppose 5*f - g + 5 = 0, g - 2 = 2*f + 3. Suppose 10 = a - 4*s, a - s - 4 = -f. Factor k**2 + 8*k + k**a + 4 + 4.
2*(k + 2)**2
Let t(u) be the second derivative of -4*u + 0*u**4 + 0*u**2 + 1/5*u**5 + 0*u**3 + 0 + 0*u**6 - 2/21*u**7. Factor t(s).
-4*s**3*(s - 1)*(s + 1)
Let c(p) = 2*p**3 + 4*p**2 + 7*p + 14. Let d(q) = -q - 2. Let u(b) = 2*c(b) + 14*d(b). Let u(k) = 0. Calculate k.
-2, 0
Let k = 14601/20 - 730. Let r(g) be the first derivative of -k*g**4 + 0*g**5 + 3 + 0*g**3 + 0*g + 1/30*g**6 + 0*g**2. Factor r(a).
a**3*(a - 1)*(a + 1)/5
Let k(d) = -7 - 16*d - 25 + d**2 + 6*d**2. Let o(i) = -2*i**2 + 4*i + 8. Let m(v) = -2*k(v) - 9*o(v). Determine f so that m(f) = 0.
-1, 2
Let q(z) be the third derivative of z**8/5040 - z**6/180 - z**5/60 - 20*z**2. Let d(h) be the third derivative of q(h). Find k such that d(k) = 0.
-1, 1
Let q(r) be the second derivative of r**5/10 + 11*r**4/9 + 37*r**3/9 + 10*r**2/3 + 2*r + 124. Find u such that q(u) = 0.
-5, -2, -1/3
Suppose -12*l + 11 = -25. Let b(v) = 2*v**2 - 6*v + 2. Let r be b(l). What is d in -22/3*d**4 - 4*d**5 - 4/3*d**3 + 4/3*d + 0 + 10/3*d**r = 0?
-1, -1/2, 0, 2/3
Let f(n) = n**3 + 16*n**2 + 16*n + 18. Let t be f(-15). Factor -t*y - y + 2*y + 2*y**2.
2*y*(y - 1)
Suppose -42*i**3 - 6*i**3 + 44 - 416*i + 354*i**2 + 84 - 22*i**3 + 4*i**4 = 0. What is i?
1/2, 1, 8
Let m = -11/25 + 93/200. Let p(o) be the second derivative of -1/12*o**3 - 1/12*o**4 - 3*o + m*o**5 + 1/2*o**2 + 0. Factor p(x).
(x - 2)*(x - 1)*(x + 1)/2
Factor 4/3*n**2 + 197/3*n + 49/3.
(n + 49)*(4*n + 1)/3
Let m(j) be the second derivative of j**4/12 + j**3/6 + j**2 - 7*j. Let c(o) = -6*o**2 - 5*o - 10. Let k(h) = 4*c(h) + 22*m(h). What is y in k(y) = 0?
-1, 2
Let t(k) be the second derivative of -1/15*k**3 - 2/15*k**4 - 1/105*k**7 - 4/75*k**6 - 3/25*k**5 + 0 + 5*k + 0*k**2. What is h in t(h) = 0?
-1, 0
Let y(a) be the second derivative of -a**4/36 + a**3/3 - 75*a. Factor y(u).
-u*(u - 6)/3
Let c(r) be the third derivative of -7/6*r**4 + 0 + 1/10*r**5 + 1/40*r**6 + 22*r**2 - 1/210*r**7 + 4*r**3 + 0*r. Find b such that c(b) = 0.
-3, 2
Let h be 4*(-9)/(-30)*(-25)/(-10). Factor -8*t**2 + 10*t**h - 13*t**2 + 5*t**2 + 5*t**4 + t**2 - 40*t - 20.
5*(t - 2)*(t + 1)**2*(t + 2)
Let g(d) be the first derivative of -d**6/4 - 6*d**5/5 - 15*d**4/8 - d**3 + 6. What is f in g(f) = 0?
-2, -1, 0
Let f be ((-8)/6)/(4/(-6)). Suppose -6 = f*s, s - 2*s = 4*w - 9. Factor 1 - w*i - 1 + i**2 - 2*i**2.
-i*(i + 3)
Let s(x) be the first derivative of -x**7/5880 + x**5/280 - x**4/84 - 7*x**3/3 + 13. Let y(j) be the third derivative of s(j). Factor y(c).
-(c - 1)**2*(c + 2)/7
Factor 0 + 2/5*d**2 - 2/5*d**3 + 24/5*d.
-2*d*(d - 4)*(d + 3)/5
Let r = -79/35 - -177/35. Solve -12/5*h**2 - 4/5*h**4 + 4/5 + 2/5*h - r*h**3 = 0.
-2, -1, 1/2
Let h(t) be the second derivative of 5*t**5/48 - 5*t**4/12 - 5*t**3/6 + 7*t**2 + 6*t. Let m(k) be the first derivative of h(k). Factor m(l).
5*(l - 2)*(5*l + 2)/4
Let i be (2/(-6))/(1/(-33)). Let z(n) = -n**2 + 4*n - 1. Let t(x) = 5*x**2 + 6*x - 27*x - 10 + 11 + 4. Let p(h) = i*z(h) + 2*t(h). Suppose p(a) = 0. What is a?
1
Let c(f) be the third derivative of f**7/280 + f**6/30 + f**5/10 - 7*f**3/2 - 15*f**2. Let z(r) be the first derivative of c(r). Factor z(p).
3*p*(p + 2)**2
Let k(u) = -12*u**2 - 10*u + 17. Let y(d) = 10*d**2 + 10*d - 16. Let n(c) = -4*k(c) - 5*y(c). Factor n(j).
-2*(j - 1)*(j + 6)
Let d(n) be the second derivative of -25*n**4/12 - 295*n**3/6 + 548*n. What is a in d(a) = 0?
-59/5, 0
Find t such that 72*t**3 - 2500 + 19*t**2 + 60*t + 2500 + 109*t**2 - 4*t**5 = 0.
-3, -1, 0, 5
Let c(m) be the second derivative of 0 - 1/14*m**4 - 1/70*m**5 - 8*m + 0*m**2 - 2/21*m**3. Factor c(z).
-2*z*(z + 1)*(z + 2)/7
Factor 80 + 29*a - 59*a - 55*a + 5*a**2.
5*(a - 16)*(a - 1)
Let c(o) be the second derivative of 0*o**2 + 5*o + 0 - 2*o**3 + 1/10*o**5 + 1/6*o**4. Let c(f) = 0. Calculate f.
-3, 0, 2
Let y(h) be the second derivative of -7*h**6/30 + h**5/60 + h**4/12 - 11*h**2/2 - 15*h. Let r(q) be the first derivative of y(q). Factor r(g).
-g*(4*g + 1)*(7*g - 2)
Let b be ((0/2)/(-5 - -11))/(-2). Let p(s) be the second derivative of 1/10*s**3 + 1/10*s**2 + 2*s + 1/30*s**4 + b. Determine l, given that p(l) = 0.
-1, -1/2
Factor -664 + 11555*j**3 + 640*j - 11551*j**3 + 387*j + 305*j - 672*j**2.
4*(j - 166)*(j - 1)**2
Let t(y) be the third derivative of y**7/1260 + 7*y**6/360 - 2*y**5/15 + 19*y**4/24 + 13*y**2. Let l(o) be the second derivative of t(o). Factor l(p).
2*(p - 1)*(p + 8)
Solve -4*x + 2 + 0 + 7*x - x + 2*x**2 + 2*x = 0.
-1
Let c = 5827/5 - 1165. Let p be (-4)/60*(-21)/7. Factor 1/5*v**3 + c*v**2 - 2/5 - p*v.
(v - 1)*(v + 1)*(v + 2)/5
Let s(h) be the third derivative of -h**7/105 - h**6/30 + h**5/10 + h**4/3 - 4*h**3/3 + 24*h**2 - 1. Factor s(t).
-2*(t - 1)**2*(t + 2)**2
Let k(a) = 13*a**2 + 14*a + 1. Let i(m) = 78*m**2 + 84*m + 6. Let y(p) = 6*i(p) - 39*k(p). Factor y(h).
-3*(h + 1)*(13*h + 1)
Suppose 75 = -5*m - 5*f, -m + 3 = -5*f - 0. Let u be (-78)/m + 1 - 5. Solve -5 - 25/2*w - u*w**3 - 10*w**2 = 0.
-2, -1
Let w(a) = -9*a**2 - 384*a - 666. Let s(d) = -3*d**2 - 129*d - 222. Let c(p) = 11*s(p) - 4*w(p). Determine l, given that c(l) = 0.
-37, -2
Factor 32/5*a**3 + 34/5*a**2 + 0 + 2/5*a.
2*a*(a + 1)*(16*a + 1)/5
Factor 0*o - 76/3*o**2 + 4/3*o**4 + 10*o**3 + 0.
2*o**2*(o - 2)*(2*o + 19)/3
Let j(d) be the third derivative of -d**8/6720 - d**7/1120 - d**6/480 - d**5/480 + 13*d**3/3 - 6*d**2. Let y(i) be the first derivative of j(i). Factor y(m).
-m*(m + 1)**3/4
Let f(c) = c**3 - 14*c**2 - 12*c - 316. Let q be f(16). Factor 1/7*o**q + 0 + 0*o - 8/7*o**3 + 16/7*o**2.
o**2*(o - 4)**2/7
Suppose 0 = -3*n - 3, -3*n + 2 = -8*k + 3*k. Let l be -7 - (k - 2) - -7. What is s in 4/7*s**2 + 4/7*s**l + 0*s + 0 = 0?
-1, 0
Factor 0 - 4/7*y**5 - 16/7*y + 24/7*y**4 - 52/7*y**3 + 48/7*y**2.
-4*y*(y - 2)**2*(y - 1)**2/7
Let r(a) be the first derivative of -1/11*a**2 - 4/11*a - 12 + 1/22*a**4 + 4/33*a**3. Factor r(k).
2*(k - 1)*(k + 1)*(k + 2)/11
Let -472*j**3 + 128*j + 5*j**5 + 768*j**2 - 35*j**5 - 22*j**5 - 372*j**4 = 0. Calculate j.
-4, -2/13, 0, 1
Factor 28*h - 1/3*h**2 - 588.
-(h - 42)**2/3
Factor 6 - o**2 + 3 - 7 + o - o**2 - o**3.
-(o - 1)*(o + 1)*(o + 2)
Let h(n) = n**3 - 16*n**2 - 57*n - 38. Let s(v) = -5*v**3 + 80*v**2 + 286*v + 190. Let w(f) = -11*h(f) - 2*s(f). Factor w(g).
-(g - 19)*(g + 1)*(g + 2)
Let k = 3 + -8. Let a be 6 + (-147)/14 - k. Factor 0*y - a + 1/2*y**2.
(y - 1)*(y + 1)/2
Let y(l) be the third derivative of 0 - 1/56*l**4 + 0*l - 1/294*l**7 + 1/60*l**5 - 1/21*l**3 + 12*l**2 + 1/280*l**6. Solve y(n) = 0.
-1, -2/5, 1
Let o(f) be the third derivative of f**8/2520 + f*