-6)*3*-6. Determine o, given that 294*o**4 - 216*o**2 - 1476*o**3 - 32*o + 670*o**x - 54*o**5 + 550*o**3 = 0.
-1/3, -2/9, 0, 2, 4
Let o(j) = j**3 + 21*j**2 + 19*j - 13. Let y be o(-20). Suppose -17*z = -19*z + 6. Suppose y*g**2 + 3 + 6*g**z - 2*g + 1 - 4*g**3 - 11*g**2 = 0. Calculate g.
-1, 1, 2
Let g(z) be the first derivative of z**3 - 450*z**2 + 897*z - 1104. Suppose g(s) = 0. What is s?
1, 299
Let i(o) be the third derivative of o**7/630 + o**6/24 - 41*o**5/180 - 341*o**4/24 - 484*o**3/9 + 194*o**2 - 7. Factor i(y).
(y - 8)*(y + 1)*(y + 11)**2/3
Suppose -7*p = -28*p + 105. Let s(y) be the second derivative of 0 - 5/6*y**3 + p*y**2 - 5/12*y**4 - 2*y. Find b such that s(b) = 0.
-2, 1
What is j in 2/21*j**4 - 38/7*j**2 - 30/7*j + 0 - 22/21*j**3 = 0?
-3, -1, 0, 15
Let q(x) be the second derivative of x**5/20 - x**4 - 27*x**3/2 - 34*x**2 - x + 438. What is n in q(n) = 0?
-4, -1, 17
Let -7*x**5 - 1215 - 411*x**2 + 690*x**3 - 902*x + 105*x**4 + 2*x**5 + 1521*x**2 + 209*x + 8*x**5 = 0. Calculate x.
-27, -5, -3, -1, 1
Let w(v) = 2*v**2 + 78*v + 758. Let s be w(-21). Let m be ((-2)/8)/(63/(-84)). Factor -1/3*k**3 - m - k**s - k.
-(k + 1)**3/3
Let d = -4081 + 4086. Let j(s) be the first derivative of 1/2*s**4 - 2/3*s**3 - s**2 + 2*s - d. Factor j(y).
2*(y - 1)**2*(y + 1)
Let k = -541 + 543. Let x be ((-1)/18*k)/((-6)/18). Let x*q**4 - q**2 + 0*q**3 + 0 - 2/3*q = 0. What is q?
-1, 0, 2
Let y(q) be the first derivative of 15*q + 3*q**2 - 171 - q**3 - 9*q**2 - 156 + 343. Factor y(s).
-3*(s - 1)*(s + 5)
Let d be (6 - 0) + -1 + 8. Suppose d*o - 84 = -8*o. Let -16/5 - 4/5*b**2 - o*b = 0. What is b?
-4, -1
Let g(u) = 9*u**2 + 39*u - 394. Let b(l) = -20*l**2 - 77*l + 790. Let c(k) = -5*b(k) - 11*g(k). Let c(p) = 0. What is p?
12, 32
Let h be 3/6*-585*-2. Suppose 5*v - 600 + h = 0. Factor 0*j + 2/7*j**4 + 20/7*j**2 - 2*j**v + 0.
2*j**2*(j - 5)*(j - 2)/7
Suppose 5*c - 14 = -2*i - i, 0 = 4*i + 5*c - 17. Factor -3*u**4 + 6*u**2 + 7474*u**5 + 1 - 4 - 2*u**i + u - 7473*u**5.
(u - 3)*(u - 1)**2*(u + 1)**2
Suppose -7*f + 8*f - 73 = 0. Suppose -4*c + f = 69. Determine u so that -5*u**2 - 580*u**3 + c - 1 + 575*u**3 = 0.
-1, 0
Suppose -36 = 4*p + 4*a, -2*p - 3*p - 2*a = 60. Let u(n) = 23*n + 326. Let s be u(p). Factor -2/17 + 2/17*j**s + 0*j**2 + 4/17*j**3 - 4/17*j.
2*(j - 1)*(j + 1)**3/17
Let o = 1/159122 + 1280136481/1432098. Let k = o + -893. Solve k*i + 2/9*i**2 + 8/9 = 0 for i.
-2
Solve 4152/7 + 3/7*p**2 + 2082/7*p = 0 for p.
-692, -2
Suppose 39*r = 8*r + 93. Factor -2/17*j**r - 100/17 - 24/17*j**2 - 90/17*j.
-2*(j + 2)*(j + 5)**2/17
Suppose -k - 9*w - 26 = -14*w, -4*k + 3*w + 32 = 0. Let f(v) be the third derivative of 1/24*v**4 + 0*v + k*v**2 + 0*v**3 + 0 + 1/300*v**5. Factor f(a).
a*(a + 5)/5
Let d(b) be the third derivative of b**8/840 + 58*b**7/525 + 167*b**6/300 + 11*b**5/15 - 1948*b**2. Solve d(o) = 0 for o.
-55, -2, -1, 0
Suppose b - 21 = -b + w, -b - w = -15. Let j(u) be the first derivative of -1/3*u + 1/2*u**2 - 1/4*u**4 - b + 1/9*u**3. Factor j(m).
-(m - 1)*(m + 1)*(3*m - 1)/3
Factor 2/5*w + 0 + 1/5*w**2.
w*(w + 2)/5
Let z(a) = 3*a + 0*a**2 + 2 - 2*a**2 + 0*a**2 - 5*a. Let x(m) = 6*m - 10*m**2 - 1 + 12 - 9*m - 7*m. Let d(k) = 2*x(k) - 11*z(k). Factor d(o).
2*o*(o + 1)
Let o(k) = -6*k**2 - 42*k + 30. Let g = 994 - 985. Let i(w) = w**2 + 3*w + 3*w - 5*w. Let p(d) = g*i(d) + o(d). Factor p(c).
3*(c - 10)*(c - 1)
Let i(h) be the third derivative of 0*h + 1/21*h**7 + 0*h**3 - 1/6*h**5 + 4 + 1/30*h**6 - 1/6*h**4 + 8*h**2. Factor i(r).
2*r*(r - 1)*(r + 1)*(5*r + 2)
Suppose 959*n - 95 = 912*n - 1. Factor u + 5/3*u**n - 2/3.
(u + 1)*(5*u - 2)/3
Let f(c) be the first derivative of -c**4 - 50/3*c**3 + 2*c**2 + 2/5*c**5 + 17 + 48*c. Find s such that f(s) = 0.
-4, -1, 1, 6
Factor 30 - 3056*g + 6038*g - 3013*g + g**2.
(g - 30)*(g - 1)
Suppose 12*a + 3*u = 13*a - 65, 0 = -3*a + 5*u + 203. Factor -34*b + 3*b**2 + 74*b + 108 + a*b.
3*(b + 1)*(b + 36)
Let f be ((-5)/(-950))/((-42)/(-70)). Let x = f - -63/38. Factor -4/3*k - 4/3*k**2 + 13/3*k**3 + 0 - x*k**4.
-k*(k - 2)*(k - 1)*(5*k + 2)/3
Let g(a) be the first derivative of 95/2*a**2 - 55/3*a**3 + 5/4*a**4 - 77 - 45*a. Factor g(s).
5*(s - 9)*(s - 1)**2
Let i(b) be the third derivative of b**5/60 - 3*b**4/8 - 11*b**3/3 - 2371*b**2. Solve i(n) = 0 for n.
-2, 11
Let r(q) be the first derivative of -17*q**3/8 + 1179*q**2/16 - 69*q/4 - 876. Factor r(t).
-3*(t - 23)*(17*t - 2)/8
Factor 3416*r**3 + 2/3*r**4 + 6563844*r**2 + 1795168669014 + 5605522776*r.
2*(r + 1281)**4/3
Factor -1/12*y**5 - 194423424320/3*y + 619182880/3*y**2 - 985960/3*y**3 + 24419582094592/3 + 785/3*y**4.
-(y - 628)**5/12
Let d be (16/(-28))/(((-255)/(-238))/(-5)). Let u be 14 - 5 - 3 - (1 - -1). Factor -28/3*k + 4/3*k**5 + d - 8/3*k**3 + 32/3*k**2 - 8/3*k**u.
4*(k - 1)**4*(k + 2)/3
Let f be 75/2*(6 + -20). Let c = f + 6827/13. Suppose -2/13*a + 0 - c*a**2 = 0. What is a?
-1, 0
Let a = 1126843/3 + -375611. Find l, given that -8/3*l + 2/3 + a*l**2 - 4/3*l**3 = 0.
1/2, 1
Let h(m) be the first derivative of -m**7/245 - 5*m**6/84 - 4*m**5/105 - 17*m**2/2 - 25. Let q(a) be the second derivative of h(a). Factor q(p).
-2*p**2*(p + 8)*(3*p + 1)/7
Let w be (42*(-216)/2520)/(((-147)/(-20))/(-7)). Solve -2/7*g**2 + 26/7 - w*g = 0.
-13, 1
Factor -21/2 + 11*t - 1/2*t**2.
-(t - 21)*(t - 1)/2
Let t be (3/(-21705))/((-22)/(-110)). Let u = t - -1450/4341. Find g such that -1/3*g**2 - u*g + 0 = 0.
-1, 0
Let p = 250 - 259. Let c(i) = i**3 + 199*i**2 + 359*i + 179. Let q(w) = w**3 + 99*w**2 + 179*w + 89. Let b(m) = p*q(m) + 4*c(m). Factor b(t).
-5*(t + 1)**2*(t + 17)
Suppose j - 8 - 20 = d, -4*j = -d - 103. Let 75*m**4 + 5 + 35*m - 105*m**4 - m**3 - 34*m**3 + j*m**2 = 0. What is m?
-1, -1/6, 1
Suppose -q - 1 = -4*g, 5*q = -7 + 2. Let r = g - -16. Determine n, given that -19*n - 5 - r*n + 20*n**3 - 4 + 25*n**2 - 1 = 0.
-2, -1/4, 1
What is a in 3/5*a**4 + 4311/5*a**2 + 1470 + 219/5*a**3 + 2289*a = 0?
-35, -2, -1
Let m = 387 + -385. What is r in 11*r - 4*r**2 - 11*r + 2*r**m + 54 - r**2 - 9*r = 0?
-6, 3
Suppose c = 4*p - 9 - 2, 0 = 2*p - 3*c - 13. Suppose -31*m + 27*m = 5*v + 10, 6 = -p*v - 2*m. Determine z, given that -1/3*z + 2/3*z**v + 0 = 0.
0, 1/2
Let r(w) be the first derivative of -w**3/3 - 13*w**2/2 + 68*w - 1675. Solve r(x) = 0.
-17, 4
Suppose d = -0*m - m + 1, 3*d = -5*m - 3. Let z(w) = -3*w**2. Let p(l) = -l**3 - 3*l**2 - 108*l + 216. Let x(c) = m*p(c) + 21*z(c). Solve x(s) = 0 for s.
6
Suppose -141*k + 45 = -2*j - 136*k, -3*k = -3*j - 27. Let x(g) be the first derivative of -9/4*g**2 + 24 + j*g - 1/2*g**3. Determine n so that x(n) = 0.
-3, 0
Find f such that -4*f**3 - 156*f + 160*f**2 + 11*f - 587*f - 116*f + 1088 = 0.
2, 4, 34
Factor 11229*i**3 + 169869312/5 + 41730048/5*i + 1/5*i**5 + 3012992/5*i**2 + 402/5*i**4.
(i + 9)**2*(i + 128)**3/5
Let q(g) be the first derivative of -3*g**2 - 29 + 0*g - 3*g**3 + 1/6*g**4 - 1/270*g**5. Let w(z) be the second derivative of q(z). Let w(v) = 0. What is v?
9
Let k(z) be the second derivative of -z**6/15 + 3*z**5/4 - 3*z**4/2 - z**3/6 + 3*z**2 + 22*z - 2. Factor k(o).
-(o - 6)*(o - 1)**2*(2*o + 1)
Factor -38/7*m**2 + 3/7*m**3 - 103/7*m - 30/7.
(m - 15)*(m + 2)*(3*m + 1)/7
Let a(b) = 8*b**3 - 19*b**2 + 21*b - 6. Let g(l) be the first derivative of l**4/4 + l**3/3 + l**2 - 32. Let r(v) = 5*a(v) - 5*g(v). Factor r(d).
5*(d - 1)**2*(7*d - 6)
Let i(l) be the second derivative of -l**4/54 + 14*l**3/9 - 13*l**2 - 19*l. Factor i(r).
-2*(r - 39)*(r - 3)/9
Let k(n) = 61*n**2 - 8179*n + 673. Let j be k(134). Factor 0 + 18/11*q**2 - 10/11*q - 6/11*q**j - 2/11*q**4.
-2*q*(q - 1)**2*(q + 5)/11
Let v(w) be the second derivative of 213*w + 18/13*w**2 + 0 - 121/13*w**3 + 118/39*w**4 - 3/10*w**5. Factor v(l).
-2*(l - 3)**2*(39*l - 2)/13
Let g = 255195 - 255195. Find r such that 0 - 3/5*r**4 + 0*r**2 - 93/5*r**3 + g*r = 0.
-31, 0
Let g(m) be the third derivative of -m**5/105 - 43*m**4/14 + 264*m**3/7 - 26*m**2 - 60. Determine r, given that g(r) = 0.
-132, 3
Let w = -2107 - -2112. Let n(p) be the second derivative of 0 - 2*p + 1/150*p**6 - 1/100*p**w + 1/30*p**3 + 0*p**2 - 1/60*p**4. Factor n(v).
v*(v - 1)**2*(v + 1)/5
Suppose 4/5*a**3 - 712/5 + 1424/5*a**2 - 712/5*a**4 - 2/5*a - 2/5*a**5 = 0. What is a?
-356, -1, 1
Let t(c) be the first derivat