h.
2*(h - 1)*(h + 1)*(3*h - 1)
Let f(o) be the third derivative of 0*o**3 - 7/30*o**6 + 8*o**2 + 2/9*o**4 + 1/36*o**8 + 8/45*o**5 + 2 + 4/315*o**7 + 0*o. Determine t, given that f(t) = 0.
-2, -2/7, 0, 1
Let l(b) be the second derivative of -b**6/6 - 9*b**5/2 - 115*b**4/4 - 130*b**3/3 + 3*b + 29. Let l(n) = 0. What is n?
-13, -4, -1, 0
Factor -32*b + 79 + 3*b**4 + 20798*b**2 - 41867*b**2 + 98*b**3 + 20932*b**2 - 11.
(b - 1)**2*(b + 34)*(3*b + 2)
Let z(t) be the second derivative of t**7/252 + 71*t**6/180 + 176*t**5/15 - 847*t**4/9 - 122452*t**3/9 - 995588*t**2/3 - 470*t - 1. What is a in z(a) = 0?
-22, 17
Let f be ((-9)/20 + 0)/(402/(-335)). Determine z so that 3/2*z + 3/2 + f*z**2 = 0.
-2
Factor -509*f + 237*f + f**4 + 4*f**2 - 9*f**3 - 53*f**2 + 233*f.
f*(f - 13)*(f + 1)*(f + 3)
Factor 0 + 17/2*x**2 + 7/2*x**3 + 9/2*x - 1/2*x**4.
-x*(x - 9)*(x + 1)**2/2
Let 424/5 - 432/5*s**4 + 848/5*s**3 - 852/5*s + 8/5*s**2 + 4/5*s**5 = 0. Calculate s.
-1, 1, 106
Let n(t) be the second derivative of t**7/21 + 11*t**6/5 - 263*t**5/10 + 221*t**4/2 - 674*t**3/3 + 240*t**2 + 143*t + 2. Let n(o) = 0. What is o?
-40, 1, 2, 3
Solve 609/5*f**4 + 0 + 0*f + 30603/5*f**2 + 3/5*f**5 + 31209/5*f**3 = 0 for f.
-101, -1, 0
Suppose -4*t + 292 = 2*b, 4*b + 4*t - 152 - 412 = 0. Factor 208 + 4*k**2 - k**2 - b - 26*k - 7*k.
3*(k - 8)*(k - 3)
Determine g, given that 1/3*g**4 - 4/9*g**3 + 0*g**2 + 0*g + 0 + 1/9*g**5 = 0.
-4, 0, 1
Let h(p) be the first derivative of -p**6/24 - 9*p**5/20 - 7*p**4/16 + 3*p**3/4 + p**2 + 3197. Solve h(s) = 0 for s.
-8, -1, 0, 1
Let s(p) be the third derivative of p**9/90720 - p**8/560 + 9*p**7/70 - 27*p**6/5 + 29*p**5/20 - 65*p**2. Let h(k) be the third derivative of s(k). Factor h(r).
2*(r - 18)**3/3
Let u(g) = -g**2 + 416*g + 405. Let r(i) = 3. Let y(z) = 4*r(z) + u(z). Determine f so that y(f) = 0.
-1, 417
Let g(c) be the second derivative of -c**7/42 - 2*c**6/5 + 4*c**5/5 + 17*c**4/6 - 21*c**3/2 + 13*c**2 - 31*c + 3. Let g(d) = 0. What is d?
-13, -2, 1
Let q(n) be the first derivative of -n**4/3 + 8*n**3/3 - 8*n**2 + 15*n + 77. Let k(h) be the first derivative of q(h). Factor k(i).
-4*(i - 2)**2
Let z(u) be the third derivative of -u**7/7560 + u**6/1080 - u**5/360 - 13*u**4/6 + 35*u**2. Let a(w) be the second derivative of z(w). Factor a(t).
-(t - 1)**2/3
Suppose 6*v + 141 = 165. Let s(t) be the first derivative of 2/5*t**3 - 12 + 0*t + 3/4*t**v + 0*t**2. Suppose s(u) = 0. What is u?
-2/5, 0
Let t(h) = h**4 + 2*h**3 - h**2 + h + 1. Let d(w) = -3*w**4 - 56*w**3 + 33*w**2 + 182*w + 112. Let n(k) = -d(k) - 8*t(k). Factor n(o).
-5*(o - 6)*(o - 4)*(o + 1)**2
Find w such that -86 + 57*w**3 + 17*w**4 - 180*w - 48*w**2 + 51 + w**4 - 3*w**5 - 61 = 0.
-2, -1, 2, 8
Suppose 45*u - 28*u = -68. Let h be (4/12)/(2/28) + u. Let 0 + 4/9*z - 2/9*z**5 - 2/9*z**3 + h*z**2 - 2/3*z**4 = 0. What is z?
-2, -1, 0, 1
Let o be (59/15 + -3)*12/8*30/9. Factor 4/3*j + 0 + 10/3*j**4 + o*j**2 + 6*j**3 + 2/3*j**5.
2*j*(j + 1)**3*(j + 2)/3
Suppose 18 = -1450*f + 1456*f. Suppose 5*w + 4*g - 30 = 0, 4*g + 9 - 23 = f*w. What is n in 1/3*n**3 - 14/3*n**w + 49/3*n + 0 = 0?
0, 7
Let q = 72784 - 582191/8. Find k such that 65/8*k**3 + q*k**2 + 3/2*k - 1/2 = 0.
-1, -2/5, 2/13
Suppose b - 334 + 326 = 0. Suppose 4*z + b = 4*f, -3*f = z - 5 - 9. Factor -1/5*c**3 + 1/5*c - 2/5 + 2/5*c**z.
-(c - 2)*(c - 1)*(c + 1)/5
Let c(r) = -8*r**3 + 6*r + 4. Let a be c(-1). Find j, given that 4 + j**4 + 135*j**3 - 140*j**3 + 4*j + a*j**2 + j**5 - 11*j**2 = 0.
-2, -1, 1, 2
Let y(g) be the third derivative of g**7/1260 + g**6/240 + g**5/360 - g**4/48 - g**3/18 + 233*g**2 + 1. Suppose y(t) = 0. Calculate t.
-2, -1, 1
Let v(r) = -9*r**3 - 42*r**2 - 78*r + 390. Let b(a) = a**3 - 2*a**2 + a - 1. Let u(c) = 6*b(c) + v(c). Factor u(y).
-3*(y - 2)*(y + 4)*(y + 16)
Let b(l) be the first derivative of -l**5/60 - l**4/18 + l**3/18 + l**2/3 + 28*l - 67. Let y(f) be the first derivative of b(f). Factor y(m).
-(m - 1)*(m + 1)*(m + 2)/3
Let k(m) be the third derivative of m**5/90 - 79*m**4/12 + 236*m**3/9 + 1257*m**2. Find y, given that k(y) = 0.
1, 236
Let t(r) be the third derivative of 0*r**3 + 0 + 1/10*r**4 + 0*r - 1/150*r**5 - 20*r**2. Determine l, given that t(l) = 0.
0, 6
Factor -64/7*b + 8/7*b**2 + 2/7*b**3 + 0.
2*b*(b - 4)*(b + 8)/7
Suppose 9*c = -0*c + 18. Suppose -2*r + 2 = -p, c*r + 2 = 2*p + 6. Factor 1/3*o**2 + 2/3*o + r.
o*(o + 2)/3
Suppose -18162 - 6338 = 50*d. Let n = -488 - d. Factor -4/7 - 12/7*x - 9/7*x**n.
-(3*x + 2)**2/7
Let w = 297 - 158. Let m = 141 - w. Suppose 0 + 4/7*f**3 + 16/7*f**m + 12/7*f = 0. Calculate f.
-3, -1, 0
Let k = -29566 + 29572. Factor -k*y**2 + 10/3 + 4/3*y**3 - 4*y.
2*(y - 5)*(y + 1)*(2*y - 1)/3
Determine j so that -8/9*j**2 + 0 + 0*j + 0*j**3 - 2/9*j**5 + 2/3*j**4 = 0.
-1, 0, 2
Suppose 595 = -6*z + 4*z - 5*p, -4*z - 1135 = -p. Let u = z - -2566/9. Factor 0 + 1/9*c + u*c**2.
c*(c + 1)/9
Suppose 44*y + 62 = 55 + 227. Let s(g) be the third derivative of -2/15*g**y + 0*g - 2/105*g**7 + 0*g**3 + 0 - 1/10*g**6 + 0*g**4 - 3*g**2. Factor s(a).
-4*a**2*(a + 1)*(a + 2)
Let i(d) be the first derivative of 2*d**3/27 - 1900*d**2/3 + 1805000*d + 667. Factor i(b).
2*(b - 2850)**2/9
Let r(s) = 40*s**2 + 305*s - 2870. Let x(f) = -5*f**2 - 38*f + 360. Let j(l) = 3*r(l) + 25*x(l). Factor j(u).
-5*(u - 6)*(u + 13)
Let b(i) = 34*i + 40. Let q be b(2). Let g be ((-24)/18)/((-88)/q). Determine u so that 12/11*u**2 - 16/11*u**3 + g*u - 12/11*u**4 + 0 - 2/11*u**5 = 0.
-3, -1, 0, 1
Let u be 168736/8960 - ((-5707)/(-520) - 11). Factor -62/7*l - 2/7*l**2 + u.
-2*(l - 2)*(l + 33)/7
Let h(z) be the first derivative of -3*z**4/4 - 159*z**3 + 3052. Factor h(p).
-3*p**2*(p + 159)
Let f(c) = -9*c - 9. Let z be f(-6). Let h = z + -43. Factor h - 2*l**2 + 19*l**3 - 2*l**2 + 12*l - 31*l**3 + 6 - 4*l**4.
-4*(l - 1)*(l + 1)**2*(l + 2)
Let f be (-4)/(-6) - (-196)/(-294). Let d(i) be the second derivative of -1/60*i**5 + f - 1/18*i**3 + 1/18*i**4 + 0*i**2 - 10*i. Factor d(p).
-p*(p - 1)**2/3
Suppose -p + 11*s + 9 = 8*s, -2*p + 4*s = -16. Let r(n) = 34*n**2 - 204*n. Let l be r(p). What is g in 12/5*g + l*g**2 + 3/5*g**4 - 9/5*g**3 + 0 = 0?
-1, 0, 2
Let x = 121 - 117. Let p(n) be the second derivative of -2/3*n**x - n**2 - 1/10*n**5 + 0 + 1/42*n**7 + 3*n + 1/15*n**6 - 7/6*n**3. Find h, given that p(h) = 0.
-1, 2
Let i(a) be the second derivative of 5*a**4/2 + 12325*a**3/6 - 2055*a**2/2 - 4158*a. Suppose i(p) = 0. Calculate p.
-411, 1/6
Let m be 28 + 41724/(-2261) - 10/(-68)*24/(-30). Suppose 108/7 + 6/7*o**2 + m*o = 0. What is o?
-9, -2
Suppose -55 = -3*n + 5*v, 4*n + 17154 = 6*v + 17220. Let -14/13*o - 2/13*o**2 + n = 0. Calculate o.
-7, 0
Suppose -3*b - 6 + 0 = -4*w, -4*w + 5*b + 2 = 0. Let z(r) be the second derivative of 40*r**2 + 10/3*r**4 - 1/4*r**5 + 0 - 50/3*r**w - 25*r. Factor z(q).
-5*(q - 4)*(q - 2)**2
Factor 6*x - 13*x**4 + 16*x**4 - 10*x + 15*x**3 + 12*x**2 + x**4.
x*(x + 2)**2*(4*x - 1)
Let h(f) = 18*f**2 - 227*f + 64. Let v(t) = -2. Let l(k) = 13*k**2 - 170*k + 70. Let p(b) = 2*l(b) + 22*v(b). Let w(n) = 8*h(n) - 5*p(n). Factor w(x).
2*(x - 8)*(7*x - 2)
Let x(a) = -611*a**2 + 12220*a. Let y be x(20). Solve 5/2*v**3 + y + 12*v**2 - 3*v**4 - 10*v = 0 for v.
-2, 0, 5/6, 2
Let r(n) be the first derivative of -19 + 4*n**4 + 2/15*n**6 - 20/3*n**3 - 6/5*n**5 + 6*n**2 + 15*n. Let w(h) be the first derivative of r(h). Factor w(s).
4*(s - 3)*(s - 1)**3
Let h(z) be the second derivative of -z**7/525 + z**6/300 - 87*z**2/2 + 13*z + 1. Let n(f) be the first derivative of h(f). Factor n(y).
-2*y**3*(y - 1)/5
Let l = 35 + -41. Let s be 6/4 + (-3)/l. Factor -5*f**4 + 37 + 4*f**4 - 3*f**3 + 12*f + 3*f**2 - 29 - f**s.
-(f - 2)*(f + 1)*(f + 2)**2
Suppose 2*y + 13*y - 340 = -325. Let z(l) be the first derivative of 1/5*l**4 - 2/5*l**2 - 8/5*l + 8/15*l**3 - y. Factor z(g).
4*(g - 1)*(g + 1)*(g + 2)/5
Let i(b) be the first derivative of -b**3/3 - 15*b**2/2 + 129*b - 75. Let x be i(-21). Let 7/2*m**2 + 3/2*m**4 + m + 0 + 4*m**x = 0. What is m?
-1, -2/3, 0
Let o be (-116)/(-12) + (-1 - 5). Let h = -70 + 212/3. Factor o*w - h - 13/3*w**2 + 4/3*w**3.
(w - 2)*(w - 1)*(4*w - 1)/3
Solve -4*f**2 - 21 + 203 + 214 - 256*f - 892 = 0.
-62, -2
Find k such that 2/5*k**4 - 18*k - 94/5*k**3 + 182/5*k**2 + 0 = 0.
0, 1, 45
Factor -111*r -