20*i**6 + 4/15*i**5 + 0*i. Factor p(o).
-2*o*(o - 2)*(3*o - 2)
Let i be (-2*1/2)/((-42)/((-2772)/(-165))). Factor 0*x + 2/5 - i*x**2.
-2*(x - 1)*(x + 1)/5
Factor 301*w**2 - 19*w**4 - 120*w**3 - 471*w**2 - 30 - 5*w**5 - 21*w**4 - 115*w.
-5*(w + 1)**3*(w + 2)*(w + 3)
Let d(a) be the third derivative of 2*a**6/135 + 2*a**5/15 + a**4/2 + 4*a**3 - 11*a**2. Let u(y) be the first derivative of d(y). What is o in u(o) = 0?
-3/2
Let z(r) = -r**2 + 13*r - 22. Let h be z(10). Suppose -j = -h + 8. Suppose 1/2*f**4 + 1/2 + 0*f**3 - f**2 + j*f = 0. What is f?
-1, 1
Let t(j) be the third derivative of -j**6/480 - 17*j**5/120 + 71*j**4/96 - 3*j**3/2 + 3*j**2 + 22. Suppose t(q) = 0. What is q?
-36, 1
Let o(y) = -2*y**4 - 10*y**3 + 10*y - 2. Let d(q) = -8*q**4 - 41*q**3 - q**2 + 41*q - 9. Let p(f) = -4*d(f) + 18*o(f). Factor p(m).
-4*m*(m - 1)*(m + 1)*(m + 4)
Let j(i) be the first derivative of -1/5*i**3 + 3/20*i**4 - 1/10*i**6 + 0*i + 3/25*i**5 + 9 + 0*i**2. Solve j(z) = 0 for z.
-1, 0, 1
Let y(a) be the third derivative of -a**8/192 + a**7/42 + a**6/36 - 2*a**4/3 + 5*a**2. Let k(n) be the second derivative of y(n). Factor k(i).
-5*i*(i - 2)*(7*i + 2)
Let c(y) be the second derivative of -7/50*y**6 + 10*y + 0 - 6/5*y**2 - 57/100*y**5 - 5/4*y**4 - 8/5*y**3 - 1/70*y**7. Suppose c(b) = 0. What is b?
-2, -1
Let p(b) be the first derivative of -4 - 1/12*b**3 - 3/8*b**2 - 1/2*b. Factor p(z).
-(z + 1)*(z + 2)/4
Let k(c) be the third derivative of 1/105*c**7 + 1/336*c**8 + 1/24*c**4 - 1/15*c**5 + 7*c**2 + 0*c - 1/60*c**6 + 0 + 1/3*c**3. Solve k(j) = 0.
-2, -1, 1
What is v in 5/4*v - 5/4*v**3 + 5/4*v**2 + 1/4*v**4 - 3/2 = 0?
-1, 1, 2, 3
Let i(n) = n - 1. Let g(c) = 3. Let d(l) = 3*g(l) + 7*i(l). Let u be d(0). Solve 2/9*s**u + 4/9*s**3 + 0 - 2/9*s**4 - 4/9*s = 0.
-1, 0, 1, 2
Factor i**5 - 2915 + 2915 + 8*i**3 - 5*i**5 + 4*i**4.
-4*i**3*(i - 2)*(i + 1)
Let k(z) = 2*z**2 - 104. Let s(w) = -3*w**2 + 210. Let m(x) = 5*k(x) + 2*s(x). Factor m(b).
4*(b - 5)*(b + 5)
Let r(a) be the second derivative of 5*a**4/24 + 5*a**3 - 65*a**2/4 + 296*a. Determine b so that r(b) = 0.
-13, 1
Suppose 3*n = 14*i - 12*i + 5, -4*i - 4 = -4*n. Let l(w) be the third derivative of 0 + 2*w**2 + 0*w**4 - 2/9*w**n + 0*w + 1/180*w**5. Factor l(b).
(b - 2)*(b + 2)/3
Let p(q) = 8*q**3 - 13*q**2 + 8*q - 3. Let g(y) = -55*y**3 + 90*y**2 - 55*y + 20. Let i(o) = -3*g(o) - 20*p(o). Factor i(b).
5*b*(b - 1)**2
Factor 7*n + 1/3*n**2 + 38/3.
(n + 2)*(n + 19)/3
Suppose 5*r - 5*k = 30 + 5, 0 = k + 5. Let s = -16 + 18. Factor 3*c - 2*c**2 + s*c**2 - r*c**2 - c.
-2*c*(c - 1)
Let k = -29261/58380 - -70/139. Let g(m) be the third derivative of 0*m + m**2 - 1/840*m**6 + 0*m**4 + 0*m**3 + k*m**5 + 0. Factor g(u).
-u**2*(u - 1)/7
Let f(p) be the third derivative of -p**6/120 + p**5/60 + 10*p**2. Let l(k) = -k**4 - 6*k**3 + 11*k**2 + 4*k - 8. Let t(z) = 10*f(z) - 2*l(z). Factor t(i).
2*(i - 2)*(i - 1)*(i + 2)**2
Factor 4/7*x**3 + 72/7*x**2 - 288/7 - 16/7*x.
4*(x - 2)*(x + 2)*(x + 18)/7
Find d, given that 6*d**3 - 133*d**5 + 156*d**5 + 2*d - 3*d + 71*d**4 + d = 0.
-3, -2/23, 0
Find n such that -65/2*n**3 + 245/2*n**2 + 35*n - 5/2*n**5 - 85/2*n**4 - 80 = 0.
-16, -2, -1, 1
Suppose -10 + 8 = -u. What is j in -3*j**2 - j**2 + 60*j - 4*j**u - 12*j**2 - 45 = 0?
3/2
Factor 309/4*r**2 - 3/4*r**3 + 0*r + 0.
-3*r**2*(r - 103)/4
Factor 110/3*m**2 + 520/3 - 625/3*m - 5/3*m**3.
-5*(m - 13)*(m - 8)*(m - 1)/3
Let i = -218/257 - -3146/1285. Find s such that -4/5 + 4/5*s**2 + 2/5*s**5 - i*s**3 + 6/5*s + 0*s**4 = 0.
-2, -1, 1
Let m be 35/138 - (1 + 341/66 - 6). Factor -m*l**3 - 8/23*l + 10/23*l**2 + 0.
-2*l*(l - 4)*(l - 1)/23
Let n = -12 + 7. Let j = n - -12. Suppose j*b**4 - 16*b**2 + 6*b**2 - 5*b**3 + 2*b - 6*b**2 - 6*b = 0. Calculate b.
-1, -2/7, 0, 2
Let t = -498 + 920. Factor -4*y**2 + t - 10*y - y**2 - 407.
-5*(y - 1)*(y + 3)
Suppose 21 = -14*m + 12 + 37. Factor -1/5*u**5 + 1/5 + 2/5*u**m - 3/5*u**4 - 2/5*u**3 + 3/5*u.
-(u - 1)*(u + 1)**4/5
Let x(f) be the third derivative of -5*f**8/336 + f**7/6 - f**6/8 - 19*f**5/12 + 5*f**4/6 + 10*f**3 - 81*f**2. Determine j so that x(j) = 0.
-1, 1, 2, 6
Let t be 65/10 + (-2)/(-4). Let m(g) = -27*g - 4*g + 17*g**2 + t*g. Let u(w) = 4*w**2 - 6*w. Let n(r) = 2*m(r) - 9*u(r). Find x, given that n(x) = 0.
0, 3
Let f = 2/325 - -5194/975. Determine v so that 14/3*v**2 + f*v - 10/3*v**3 - 8/3 = 0.
-1, 2/5, 2
Let c(o) be the third derivative of o**7/7560 + o**6/360 + o**5/40 - o**4/6 - 14*o**2. Let a(w) be the second derivative of c(w). What is n in a(n) = 0?
-3
Let a(m) be the second derivative of 0*m**2 + 1/4*m**3 + 0 - 4*m - 5/8*m**4. Factor a(p).
-3*p*(5*p - 1)/2
Let g(r) be the first derivative of 55*r**3/3 - 30*r**2 + 5*r - 18. Factor g(x).
5*(x - 1)*(11*x - 1)
Suppose 6*r + r = -r. Let t(h) be the second derivative of -1/3*h**4 + r*h**2 + 1/10*h**5 + 0*h**3 + 4*h + 0. Find u such that t(u) = 0.
0, 2
Let b(y) be the third derivative of -8/105*y**7 + 1/84*y**8 + 0*y**4 + 44*y**2 + 0*y**5 + 1/10*y**6 + 0*y + 0*y**3 + 0. Factor b(f).
4*f**3*(f - 3)*(f - 1)
Let p(w) = w**2 - 47*w - 64. Let y(g) = 2*g**2 - 70*g - 96. Let t(o) = -8*p(o) + 5*y(o). Let i(x) = x + 1. Let a(d) = 28*i(d) - 2*t(d). Factor a(h).
-4*(h + 3)**2
Let v(k) be the first derivative of 13 + 1/6*k**6 + 3/2*k**2 - 2/3*k**3 + 2*k + 0*k**5 - k**4. Find d, given that v(d) = 0.
-1, 1, 2
Let f(i) = -8*i**3 - 450*i**2 - 2866*i + 7687. Let u(q) = 5*q**3 + 300*q**2 + 1910*q - 5125. Let c(r) = -5*f(r) - 7*u(r). Factor c(p).
5*(p - 2)*(p + 16)**2
Suppose 4*g + 7 = -m + g, -5*g - 10 = 0. Let t(k) = 8*k**3 + 7*k**2 - k - 2. Let j(a) = a**3. Let d(h) = m*t(h) + 2*j(h). Solve d(b) = 0 for b.
-1, -2/3, 1/2
Suppose 8*x = 3*x + 25. Suppose -x*i - 3*z + 6*z = -119, -4*z - 12 = 0. Factor -v**5 + 31*v + 2 - i*v + 16*v**2 + 14*v**3 + 6*v**4 + v**5 + v**5.
(v + 1)**4*(v + 2)
Let r = -1277 - -1280. Let w(h) be the second derivative of -1/3*h**r - 10*h - h**2 + 1/10*h**5 + 1/6*h**4 + 0. Determine v, given that w(v) = 0.
-1, 1
Let b(g) be the second derivative of g**5/60 + g**4/8 + g**3/3 + 10*g**2 - 5*g - 5. Let p(f) be the first derivative of b(f). Factor p(v).
(v + 1)*(v + 2)
Let l(v) = -9*v - 528. Let k be l(-59). What is n in 7/6*n**5 + 0 + 1/3*n**4 - 2/3*n - 10/3*n**2 - 7/2*n**k = 0?
-1, -2/7, 0, 2
Let f be 54/(-14)*((-212)/(-24) + -9). Let w(i) be the first derivative of 0*i + 4 + f*i**2 + 1/7*i**3. Factor w(p).
3*p*(p + 3)/7
Suppose r + 4*b = -0*b + 5, 15 = 3*r - 5*b. Factor -2*c**2 - 3*c**3 + r*c**3 - 2*c**3 - 2*c**3.
-2*c**2*(c + 1)
Factor 0 - 18*i**3 + 0*i + 6*i**4 + 0*i**2 + 3/2*i**5.
3*i**3*(i - 2)*(i + 6)/2
Factor -1/4*s**2 + 31*s - 961.
-(s - 62)**2/4
Let l(q) = 15*q - 2*q + 0 - 12*q - 3. Let v be l(6). Factor -3/7*a**v + 3/7*a - 3/7 + 3/7*a**2.
-3*(a - 1)**2*(a + 1)/7
Let -4*z - 1/4*z**5 - 5/4*z**2 + 9/4*z**3 + 1/4*z**4 + 3 = 0. Calculate z.
-2, 1, 3
Let q(d) be the second derivative of d**7/126 - d**6/6 + 3*d**5/2 - 15*d**4/2 + 45*d**3/2 - 81*d**2/2 + 16*d. Factor q(j).
(j - 3)**5/3
Let k(j) be the first derivative of 6*j**2 + 6*j**3 + 3*j**4 + 8 + 3/5*j**5 + 3*j. Suppose k(o) = 0. What is o?
-1
Let -10/21*w + 2/21*w**3 + 2/7*w**2 - 2/21*w**4 + 4/21 = 0. What is w?
-2, 1
Suppose -2*c = -5 - 9. Let r be (-14)/(-4)*4/c. Suppose -2 - 4*l**2 - 2*l**2 + 7*l**2 - 4*l - 3*l**r = 0. What is l?
-1
Let s(o) be the third derivative of -2*o**7/21 - 11*o**6/2 - 363*o**5/4 + 347*o**2. Determine k so that s(k) = 0.
-33/2, 0
Let c(m) be the second derivative of -m**8/23520 - m**7/8820 + m**6/630 + m**5/105 - 17*m**4/12 - 19*m. Let j(l) be the third derivative of c(l). Factor j(k).
-2*(k - 2)*(k + 1)*(k + 2)/7
Let 3 + 13/4*w**2 + 20*w = 0. Calculate w.
-6, -2/13
Let l(r) be the third derivative of r**5/15 - 5*r**4 + 58*r**3/3 - 3*r**2 + 143. Factor l(u).
4*(u - 29)*(u - 1)
Let o(u) be the second derivative of -u**5/40 - 2*u**4/3 + 35*u**3/12 - 9*u**2/2 - 10*u + 55. Determine w, given that o(w) = 0.
-18, 1
Let m(i) be the first derivative of 11 - 1/24*i**3 - 13/2*i**2 - 1/240*i**5 - 1/48*i**4 + 0*i. Let h(x) be the second derivative of m(x). Factor h(w).
-(w + 1)**2/4
Let j(o) be the third derivative of o**7/1470 - o**6/42 - 11*o**5/210 + 5*o**4/42 + o**3/2 + 4*o**2 - 15*o. Factor j(t).
(t - 21)*(t - 1)*(t + 1)**2/7
Suppose 2*n = -n - 69. Let f = n - -25. So