315 - 44*o**4/21 + 32*o**3/7 + 21*o**2. Factor h(i).
-2*(i - 6)**2*(i - 2)**3/21
Suppose -23*n - 3*n - 26 = 0. Let r be (30/(-18))/(-1) + n. Let -2/3*x - 1/3*x**2 + 1/3*x**4 + r*x**3 + 0 = 0. Calculate x.
-2, -1, 0, 1
Find f, given that 19/7*f**2 - 19/7*f**4 + 0 + 3/7*f**3 + 3/7*f**5 - 6/7*f = 0.
-1, 0, 1/3, 1, 6
Let i(v) = 16*v**2 - 20*v - 12. Let h = 258 + -263. Let m(g) = 11*g**2 - 13*g - 8. Let s(j) = h*i(j) + 8*m(j). Find r such that s(r) = 0.
-1/2, 1
Let z(p) = p**3 + 6*p**2 - 7*p - 3. Let t(i) = -6*i**2 + 6*i + 2. Suppose -4*s = -9*s + 45. Let m = s + -15. Let l(n) = m*t(n) - 4*z(n). Factor l(v).
-4*v*(v - 2)*(v - 1)
Let k(j) = -j**3 + j + 4. Let f be k(4). Let r = f + 59. Factor 3*t**3 - 110*t + 221*t - 117*t + r*t**2.
3*t*(t - 1)*(t + 2)
Let i(t) be the first derivative of -t**3/3 + 33*t**2/2 + 148*t + 326. Factor i(s).
-(s - 37)*(s + 4)
Let l(j) = -1. Let q(v) be the second derivative of -v**5/20 - v**4/3 + 35*v**3/6 + 151*v**2/2 + v - 2. Let g(x) = -l(x) - q(x). Factor g(y).
(y - 6)*(y + 5)**2
Let w = 508 + -47. Suppose 461 = c + w. Factor -1/2*r**3 + c + 0*r + 0*r**2.
-r**3/2
Suppose 0 = 8*j - 12 - 60. Suppose j*i - 20 = 5*i - 4*z, -2*z + 6 = 0. Suppose 11/2*r**3 + 15/2*r - 1 - 12*r**i = 0. Calculate r.
2/11, 1
Let v(j) be the second derivative of -j**5/5 + 89*j**4/3 - 176*j**3/3 + 705*j. Let v(f) = 0. Calculate f.
0, 1, 88
Let b(a) = 14*a**2 + 86*a + 24. Let l(h) = h**2 + 4*h - 1. Suppose 0*y + 3 = -s - 3*y, -5*s + y = 63. Let c(v) = s*l(v) + b(v). Factor c(k).
2*(k + 1)*(k + 18)
Let q(y) be the third derivative of y**5/105 - 11*y**4/21 + 10*y**3 - 5178*y**2. Factor q(f).
4*(f - 15)*(f - 7)/7
Let z(v) be the first derivative of 8/17*v**2 + 32*v + 1/102*v**4 - 3/17*v**3 + 18. Let m(l) be the first derivative of z(l). Factor m(w).
2*(w - 8)*(w - 1)/17
Determine h so that -4*h**3 - 23*h**3 + 78*h + 2*h + 15*h**2 + 4*h - 3*h**2 = 0.
-14/9, 0, 2
Let g(i) be the second derivative of 17 + 1/75*i**6 - 2*i - i**2 - 2/5*i**4 - 1/25*i**5 - 14/15*i**3. Factor g(x).
2*(x - 5)*(x + 1)**3/5
Let o be 2799/1701 - (2 - 17/7). Let m(c) be the first derivative of -8/3*c**2 + 0*c - 20 + o*c**3 + 11/3*c**4 - 14/5*c**5 - c**6. Determine r so that m(r) = 0.
-3, -2/3, 0, 2/3
Suppose 0 = 31*l - 4*l + l. Let z(q) = -q + 2. Let f be z(-2). Find v such that v**f - 2*v - 4*v**3 - 1 + 3*v**3 + l*v**4 + 3*v**3 = 0.
-1, 1
Let l = -16463/3 + 5488. Let z(i) be the first derivative of 16 + l*i**3 + 1/2*i**2 - 2*i. Suppose z(y) = 0. Calculate y.
-2, 1
Let d(c) be the second derivative of -5*c**4/12 - 245*c**3/3 + 1515*c**2/2 + 42*c + 4. Factor d(q).
-5*(q - 3)*(q + 101)
Let d(h) = h**3 - h**2 + 3*h + 1. Let v(f) = f**5 + 35*f**4 + 119*f**3 + 97*f**2 - 152*f - 132. Let r(b) = 24*d(b) + 3*v(b). Find u such that r(u) = 0.
-31, -2, -1, 1
What is t in 0 - 880/3*t + 4/3*t**2 = 0?
0, 220
Let h be (6/10)/((-5)/(-50)). Factor r**2 + h - 25*r + 24 + 7*r**2 - 3*r**2.
5*(r - 3)*(r - 2)
Let f(o) be the second derivative of 0 - 1/4*o**4 + 1/20*o**5 + 8*o**2 + 1/2*o**3 - 24*o. Let j(c) be the first derivative of f(c). Find t such that j(t) = 0.
1
Let j(p) be the third derivative of 1/140*p**7 - 1/120*p**6 + 9*p**2 - 1/120*p**5 + 0*p + 2 + 0*p**4 + 0*p**3. Factor j(x).
x**2*(x - 1)*(3*x + 1)/2
Let n(a) be the second derivative of -a**7/168 - 31*a**6/120 - 97*a**5/80 + 97*a**4/16 - 27*a**3/4 + 7895*a - 1. Determine j, given that n(j) = 0.
-27, -6, 0, 1
Let z(w) be the second derivative of 29*w**7/147 + 2*w**6/105 - 87*w**5/70 - 32*w**4/21 - 4*w**3/21 - 47*w - 11. Suppose z(y) = 0. Calculate y.
-1, -2/29, 0, 2
Let r(w) be the second derivative of w**5/30 - 169*w**4/9 + 337*w**3/9 + w + 414. Suppose r(c) = 0. Calculate c.
0, 1, 337
Let a(k) be the third derivative of 7/30*k**4 - 1 + k**2 + 0*k**3 + 0*k - 1/150*k**6 - 2/25*k**5. Determine d, given that a(d) = 0.
-7, 0, 1
Let r = -22 - -37. Suppose 0*h + 5*h = r. Find w such that 3*w**h + 0*w**3 - 26*w**2 + 6*w**3 + 32*w - 8 - 3*w**3 = 0.
1/3, 2
Let b(f) be the third derivative of f**6/360 - 83*f**5/30 + 6889*f**4/8 - 198*f**2 - 2*f. Factor b(i).
i*(i - 249)**2/3
Suppose 166*s - 115 - 36 - 181 = 0. Let d(a) be the first derivative of -37 - 85/8*a**4 + 0*a + 40/3*a**3 + 5/2*a**5 - 5*a**s. Determine f so that d(f) = 0.
0, 2/5, 1, 2
Let k(y) be the second derivative of -y**7/4200 - 7*y**6/600 - 3*y**5/25 - 49*y**4/6 - 38*y. Let j(u) be the third derivative of k(u). Factor j(b).
-3*(b + 2)*(b + 12)/5
Factor -170/3*r + 5/3*r**2 + 1040/3.
5*(r - 26)*(r - 8)/3
Let k(l) be the third derivative of -l**8/1176 + 13*l**7/735 + 3*l**6/140 - 83*l**5/30 + 35*l**4/3 + 196*l**3 - 1013*l**2 - 2*l. Solve k(r) = 0 for r.
-6, -2, 7
Let s(y) be the third derivative of -40/3*y**3 + 0*y + 0 + 133*y**2 + 1/15*y**5 + 1/6*y**4. Determine b so that s(b) = 0.
-5, 4
Suppose -4*k = k - 60. Let w be ((0 - k)/(-2))/((-12)/(-16)). Suppose 10 + 14 - 4*b**2 + w - 8*b = 0. Calculate b.
-4, 2
Let c be ((-31)/(-31))/(-8*(-3)/144). What is k in -10/3*k**3 - 32/3*k**4 + 0*k + 0 - c*k**5 + 4/3*k**2 = 0?
-1, 0, 2/9
Let q(j) be the second derivative of -43/30*j**3 + j - 1/15*j**4 - 40 + 11/10*j**2. Factor q(o).
-(o + 11)*(4*o - 1)/5
Let h(v) be the second derivative of -v**4/36 + 116*v**3/9 + 67*v + 8. What is u in h(u) = 0?
0, 232
Factor 29/2*z + 168 + 1/4*z**2.
(z + 16)*(z + 42)/4
Let u be (135/90 - -5) + (-10)/4*-4. Solve -1089/4 - 1/4*i**2 + u*i = 0.
33
Factor 0 + 0*f + 40/3*f**2 - 1/3*f**3.
-f**2*(f - 40)/3
Let i be (0 - (-9)/6)/((-14)/(-28)). Factor -13*a**3 - 6*a**i - a**4 + 11*a**3 - 4*a**3.
-a**3*(a + 12)
Let q(k) be the first derivative of -3*k**4/32 - k**3 + 183*k**2/16 - 39*k/2 - 2685. Suppose q(l) = 0. What is l?
-13, 1, 4
Suppose 136*n + 78*n**3 + 10*n**3 + 356*n + 1200 - 4*n**4 - 132*n**2 + 68*n - 416*n**2 = 0. What is n?
-1, 3, 10
Let q be (-3)/18 + 2/3*(-32)/(-128). Let j(f) be the second derivative of q*f**2 + 1/6*f**6 - 5/3*f**3 - 4*f - f**5 + 25/12*f**4 + 0. Factor j(u).
5*u*(u - 2)*(u - 1)**2
Let k(m) = -9*m**2 + 35*m - 1. Let d be 7/21 + (-96)/(-9). Let y(z) = 5*z**2 - 19*z. Let j(c) = d*y(c) + 6*k(c). Factor j(o).
(o - 2)*(o + 3)
Let z = 13060 + -117538/9. Factor z*b**2 - 2/3*b + 0.
2*b*(b - 3)/9
Let t(d) = 3*d - 4. Let b be t(2). Factor 1173*f + b*f**2 - 590*f - 584*f + 3*f**3.
f*(f + 1)*(3*f - 1)
Let w(q) = -428*q**3 + 1630*q**2 - 1982*q - 22. Let u(r) = 60*r**3 - 233*r**2 + 283*r + 3. Let v(n) = -22*u(n) - 3*w(n). Factor v(h).
-4*h*(h - 5)*(9*h - 14)
Let n(j) be the second derivative of -2*j**6/15 - 16*j**5/5 + 55*j**4/3 + 644*j**3/3 - 720*j**2 - 10416*j. Determine o so that n(o) = 0.
-18, -4, 1, 5
Let d be (-14)/(-161) - (-3294)/47196*44. Factor 14/19*v + 2/19*v**2 - d.
2*(v - 3)*(v + 10)/19
Let o(h) be the second derivative of -h**6/75 + 17*h**5/25 - 7*h**4/2 - 1176*h**3/5 - 11*h - 117. Let o(u) = 0. Calculate u.
-8, 0, 21
Let y be (((-12)/(-10))/2)/(11/55). Factor -4 - j - y*j + j**2 + 6 + j**2.
2*(j - 1)**2
Let d be -12 - (-6)/27*(-43 - -100). Factor -72*n**2 - d*n**4 + 0 + 144*n + 12*n**3.
-2*n*(n - 6)**3/3
Let r(b) = b + 9. Let q(t) = 3*t**2 + 483*t - 180. Let g(o) = q(o) + 2*r(o). Factor g(x).
(x + 162)*(3*x - 1)
Let s(k) be the third derivative of k**8/1344 - 23*k**7/504 - k**6/6 - 17*k**4/12 + 257*k**2. Let p(d) be the second derivative of s(d). Factor p(u).
5*u*(u - 24)*(u + 1)
Let d(z) be the third derivative of z**5/300 - 19*z**4/10 + 2*z**2 + 433. Factor d(w).
w*(w - 228)/5
Let s(d) = 2 - 16 + 3*d + 6. Let u be s(4). Solve 495*x + u*x**2 - 511*x + 7 + 9 = 0 for x.
2
Factor 114*o + 90 - 672 - 2*o**2 + 0*o**2 + 86*o.
-2*(o - 97)*(o - 3)
Let r be (3 - 1) + 1/(-1). Suppose 3*d + 4*p = 17 + r, -3*d = -2*p. Determine w, given that 3*w**d - 3*w**2 + 2*w**2 - 3*w**2 = 0.
0
Let v(x) be the second derivative of -x**6/80 - 3*x**5/80 + x**3/8 + 3*x**2/16 + 103*x + 1. Factor v(q).
-3*(q - 1)*(q + 1)**3/8
Find r such that 24*r**2 - 112 - 20 - 3*r**3 + 3071*r - 2960*r = 0.
-4, 1, 11
Let x(g) be the third derivative of -g**7/2520 - g**6/180 + g**5/24 - g**4/9 + 85*g**3/6 + 2*g**2 - 43. Let p(u) be the first derivative of x(u). Factor p(z).
-(z - 1)**2*(z + 8)/3
Suppose 0 = -8*c + 466 - 482. Let x = 7/2 + c. Determine r, given that 1/2*r**4 + x*r**3 + 1/2*r**2 - 3/2*r - 1 = 0.
-2, -1, 1
Suppose 38*x - 42*x = 1204. Let k = 301 + x. Find j such that j**4 -