ird derivative of -l**8/12 + 52*l**7/105 - l**6/5 - 32*l**5/15 + 13*l**4/6 + 4*l**3 + l**2 + 11. What is u in f(u) = 0?
-1, -2/7, 1, 3
Let i be 1/5 + 368/(-40). Let j be i + (-132)/(-15) - (-22)/10. Factor 0 + 2/7*g**j + 2/7*g**3 + 0*g.
2*g**2*(g + 1)/7
Factor -41/3*g**4 + 1/3*g**5 - 1331/3*g + 198*g**3 + 14641 - 3146/3*g**2.
(g - 11)**4*(g + 3)/3
Let i be (10/36)/((-20)/480*-30). Factor 0*t**2 + 0*t**3 + 0 + i*t**4 + 0*t.
2*t**4/9
Suppose -2/11*b**3 + 7350/11 - 134/11*b**2 - 2030/11*b = 0. What is b?
-35, 3
Let f(p) = p**2 + 16*p + 4. Let l be f(-16). Suppose 3*d - 11 = -3*o + 2*d, -2*o + 5*d = l. Factor -3/4*k**o + 15/4*k**2 + 3 - 6*k.
-3*(k - 2)**2*(k - 1)/4
Let h(w) be the third derivative of 26*w**7/105 + 37*w**6/30 + 11*w**5/5 + 7*w**4/6 - 4*w**3/3 + 94*w**2 + w. Determine p so that h(p) = 0.
-1, 2/13
Let t = 30 - 959/32. Let g(j) be the third derivative of 0*j - 1/8*j**3 + 0 + 1/80*j**5 + t*j**6 - 5/32*j**4 - 4*j**2. Let g(v) = 0. Calculate v.
-1, -1/5, 1
Let r be (2 - 5)/(15/(-10)). Suppose r*f - 4 = 4*f + 5*m, 0 = -2*m - 4. Suppose 14*g**f + 2*g**4 + 2*g**2 - 18*g**3 + 8*g**3 = 0. What is g?
-1, 0
Let z(g) = -10*g**2 + 24*g - 14. Let a(l) = -7*l**2 + 16*l - 10. Let w(b) = 7*a(b) - 5*z(b). Let w(k) = 0. Calculate k.
0, 8
Let m(k) be the second derivative of k**6/6 - 41*k**5 + 5465*k**4/2 + 34030*k**3/3 + 34445*k**2/2 + 168*k - 1. Factor m(s).
5*(s - 83)**2*(s + 1)**2
Let q(l) be the first derivative of -9/5*l**2 - 32/15*l**3 - 12/25*l**5 - 7/5*l**4 - 4/5*l + 10 - 1/15*l**6. Determine b, given that q(b) = 0.
-2, -1
Let g = -11 - -19. Let v be g/20 + 23/5. Factor -4*s**3 - 13*s**v + s**3 + 16*s**5.
3*s**3*(s - 1)*(s + 1)
Let n be 0/(4 + (1 - 3)). Determine d so that n*d**2 + d - 2*d**3 - 4*d**4 + 1 + 4*d**5 - 2*d**2 + 5*d**4 - 3*d**5 = 0.
-1, 1
Let g be (-16)/(-28)*(-7)/(-2). Let r = -2 - -6. Factor 19*l**g + 11*l + 2 + 8*l**r - 5*l**4 + 17*l**3 - 4*l**3.
(l + 1)**2*(l + 2)*(3*l + 1)
Let t(v) be the third derivative of -v**8/33600 + v**4/4 + 9*v**2. Let o(y) be the second derivative of t(y). Factor o(z).
-z**3/5
Suppose -l = y - 9, -5*y = -2*y + 2*l - 24. Suppose -7/3*z**3 - 20/3*z - 8/3 - 1/3*z**4 - y*z**2 = 0. What is z?
-2, -1
Let i(g) be the second derivative of g**7/6300 + g**6/900 + g**5/300 + 7*g**4/6 - 9*g. Let q(p) be the third derivative of i(p). Factor q(m).
2*(m + 1)**2/5
Determine x, given that 0*x**5 - 15*x**2 - 9*x**2 - 4*x**5 + 4*x**3 - 128*x**2 + 128 + 24*x**4 = 0.
-2, -1, 1, 4
Suppose -202*p + 201*p + 3 = 0. Let n be (-16)/(-42) + (-3)/((-105)/10). Determine s, given that 2/3*s**p - 1/6 - s**2 - 1/6*s**4 + n*s = 0.
1
Let r(b) = -b**2 + b + 1. Suppose -64 + 60 = 4*y. Let j(t) = 24*t**2 - 40*t + 20. Let v(k) = y*j(k) + 4*r(k). Find m, given that v(m) = 0.
4/7, 1
Find j such that -859*j + 803*j + j**2 + 289 + 495 = 0.
28
Let l(t) be the second derivative of -11*t**6/150 - 3*t**5/4 - 59*t**4/30 + 4*t**3/5 + 194*t. Find x, given that l(x) = 0.
-4, -3, 0, 2/11
Let z be (0 - 2)*(-119)/9282. Let w(b) be the second derivative of -1/273*b**7 + 0*b**6 + 0*b**2 + 1/65*b**5 + 0 - z*b**3 + 0*b**4 + 6*b. Factor w(q).
-2*q*(q - 1)**2*(q + 1)**2/13
Suppose -13/3*a**2 + 1/3*a**4 - 8 + 38/3*a - 2/3*a**3 = 0. Calculate a.
-4, 1, 2, 3
Let g(p) be the first derivative of p**4/4 - 4*p**3/3 - 3*p**2 + 5*p - 23. Let a be g(5). Suppose a + 6/7*d**2 - 2/7*d**3 - 4/7*d = 0. Calculate d.
0, 1, 2
Suppose -12*q = -11*q - 4. Suppose -2*l = -2*u - l + 1, -q = 5*u + 4*l. Factor u*i - 4*i - 1 + 2*i - i**2.
-(i + 1)**2
Let m be -5 + 2 + 2 - -6. Let b(l) = l**2 + 8*l - 23. Let i(z) = 3*z**2 + 15*z - 45. Let y(p) = m*b(p) - 2*i(p). Factor y(u).
-(u - 5)**2
Let c(v) = 15*v**2 - 6*v - 13. Let d(u) = 16*u**2 - 6*u - 10. Let h(p) = 6*c(p) - 5*d(p). Factor h(b).
2*(b - 2)*(5*b + 7)
Let z(v) be the first derivative of v**6/1260 + v**5/210 + 8*v**3/3 - 2. Let n(c) be the third derivative of z(c). Let n(u) = 0. Calculate u.
-2, 0
Suppose -3*j = p - 8, -3 = -3*p - 2*j - 0. Let a(y) = 23*y**2 - 15*y**2 - 2 + 14*y + 22*y + 18*y**2. Let u(n) = -n + 1. Let d(b) = p*a(b) - 6*u(b). Factor d(l).
-2*(l + 1)*(13*l + 2)
Let k(u) = u**3 + 4*u**2 + 4. Let x be k(-4). Let i = -236 - -268. Factor i*r**5 + x*r**2 - 96*r**5 + 112*r**4 - 32*r**4 - 32*r**3.
-4*r**2*(2*r - 1)**2*(4*r - 1)
Let p be 495/(-21)*(-540)/50. Let d = p - 252. Factor -d*u**2 - 24/7*u - 8/7.
-2*(3*u + 2)**2/7
Let p(d) be the first derivative of d**6/30 - d**5/15 + 9*d**2/2 + 3. Let n(i) be the second derivative of p(i). Factor n(j).
4*j**2*(j - 1)
Let v(z) be the second derivative of 5*z**4/12 - 5*z**3/3 + 6*z**2 - 29*z. Let f(h) = 5*h**2 - 10*h + 11. Let u(n) = -7*f(n) + 6*v(n). Let u(c) = 0. What is c?
1
Let j(h) be the first derivative of h**5/15 - 7*h**4/12 + 2*h**3 - 10*h**2/3 + 8*h/3 - 34. Factor j(b).
(b - 2)**3*(b - 1)/3
Let k(s) be the first derivative of s**7/1680 - s**6/480 - s**5/160 + s**4/24 - s**3/12 - 7*s**2/2 + 22. Let l(c) be the second derivative of k(c). Factor l(r).
(r - 2)*(r - 1)**2*(r + 2)/8
Let d(s) be the second derivative of -s**7/1680 - s**6/180 - s**5/60 - 10*s**3/3 + 12*s. Let g(i) be the second derivative of d(i). Factor g(b).
-b*(b + 2)**2/2
Let n be (-6)/(-45)*5*6. Find f, given that -7*f**3 + 17*f**3 + f**n - 6*f**4 = 0.
0, 2
Let x = 7 + -5. Suppose -t - 2*w + 10 = 0, -2*t - 2*t + 2*w + 10 = 0. What is c in c**t - 4*c**x + 2*c**5 - 9*c**4 - 4*c**5 - 14*c**3 + 4*c**3 = 0?
-2, -1, 0
Suppose 37*z = 34*z + 9. Let m(t) be the first derivative of -7/12*t**6 + 1/2*t**5 + 7 + 0*t + 0*t**2 + 0*t**z + 1/4*t**4. Factor m(g).
-g**3*(g - 1)*(7*g + 2)/2
Let t = -163 - -165. Let c(s) be the second derivative of -s + 0*s**t + 0 + 1/105*s**6 + 0*s**3 - 1/42*s**4 + 0*s**5. Factor c(d).
2*d**2*(d - 1)*(d + 1)/7
Let l(o) be the second derivative of -o**4/12 - o**3/3 + 3*o**2/2 - 3*o. Solve l(m) = 0.
-3, 1
Let a be 2/9 + (-440)/(-45). Let c = a + 3. Factor -4*r - r - 2 + c*r**2 - 1 - 11*r**2.
(r - 3)*(2*r + 1)
Suppose 151 = 79*s - 35 + 28. Let 0 - 8/11*k**s - 6/11*k**5 + 0*k - 24/11*k**3 - 2*k**4 = 0. What is k?
-2, -1, -2/3, 0
Let p = 3005/41678 + -2/2977. Let h(y) be the first derivative of -2/21*y**3 - 1/42*y**6 + 1/7*y - 1/14*y**2 + 1/35*y**5 - 12 + p*y**4. Factor h(w).
-(w - 1)**3*(w + 1)**2/7
Suppose 0 = -o - 3*n - 11, 15*o - 2*n - 22 = 12*o. Let 3/5*k**5 + 3*k**3 - 6/5*k**2 + 0 - 12/5*k**o + 0*k = 0. What is k?
0, 1, 2
Let x be ((-16)/40)/(1/50). Let n = x + 22. Suppose -2/5*a**4 + 0*a + 4/5*a**3 + 0 - 2/5*a**5 + 0*a**n = 0. Calculate a.
-2, 0, 1
Let j(a) be the third derivative of a**8/420 + a**7/210 - 13*a**3/6 - 7*a**2. Let m(i) be the first derivative of j(i). Factor m(q).
4*q**3*(q + 1)
Suppose 41*t - 19*t = 88. Let 2*p**t + 0 + 3/2*p - 2*p**2 - 1/2*p**5 - p**3 = 0. Calculate p.
-1, 0, 1, 3
Let d(j) be the second derivative of j**6/75 + 3*j**5/50 - 2*j**4/15 - 4*j**3/5 - j + 5. Solve d(c) = 0 for c.
-3, -2, 0, 2
Let h(c) be the second derivative of c**6/210 - 19*c**5/140 - c**4/4 + 19*c**3/42 + 10*c**2/7 + 8*c + 21. Solve h(f) = 0.
-1, 1, 20
Let v(a) = -7*a**2 - 10*a + 315. Let o(d) = -d**2. Let m(s) = 2*o(s) - v(s). Find c such that m(c) = 0.
-9, 7
Let u(n) = -11*n**4 + 16*n**3 + 5*n**2 - 4*n + 6. Let b(p) = -p**4 + p**3 + p + 1. Let i = -97 + 96. Let z(h) = i*u(h) + 6*b(h). Let z(v) = 0. What is v?
-1, 0, 1, 2
Let w(g) be the first derivative of 6*g**4 - 3*g**4 - 8 - 5*g**4 + 2*g**2 + g**4. Factor w(m).
-4*m*(m - 1)*(m + 1)
Let p = 1799 + -1799. Let h(f) be the third derivative of 0*f - 1/80*f**5 + 1/6*f**3 - 9*f**2 + 0*f**4 + 1/480*f**6 + p. Factor h(t).
(t - 2)**2*(t + 1)/4
Let q(n) be the first derivative of -5*n**4/4 - 20*n**3/3 - 25*n**2/2 - 10*n + 138. What is l in q(l) = 0?
-2, -1
Let z(r) = 7*r**2 + 15*r + 16. Let h(t) = -15*t**2 - 29*t - 31. Let n(m) = 6*h(m) + 13*z(m). Let a be n(-20). Suppose 1/2*u + 0 - 1/2*u**a = 0. Calculate u.
0, 1
Let f = -1907 - -5725/3. Solve -2/3*b + 2/3*b**2 - f = 0 for b.
-1, 2
Let x(d) = -d**2 - 11*d - 12. Let v be x(-11). Let f be (1 - -8)*(-2)/v. Determine t, given that -f*t - 3*t**2 + 0 = 0.
-1/2, 0
Factor -2*h**4 - 357*h - 40*h**3 + 1453*h - 76*h**2 + 56*h - 20*h**2.
-2*h*(h - 4)*(h + 12)**2
Let a(k) be the first derivative of 5*k**6/6 - 11*k**5/4 + 5*k**4/16 + 65*k**3/12 - 25*k**2/8 - 5*k/2 + 72. Solve a(s) = 0 for s.
-1, -1/4, 1, 2
Fac