 49 + -63. Let h(j) = 2*j**2 + 25*j - 40. Let d be h(c). Determine s so that 1/2*s**d + 0 + 1/2*s = 0.
-1, 0
Let k(j) be the second derivative of 3*j**7/14 - 16*j**6/5 - 73*j**5/10 + 5*j**4/3 + 49*j**3/6 - 6*j**2 + 2*j - 115. Suppose k(u) = 0. Calculate u.
-1, 1/3, 12
Let t(g) = g + 17. Let r be t(-13). Solve 11*i**2 + r + 8*i**2 + 19*i + 4*i**3 - 7*i**2 - 7*i = 0.
-1
Find x, given that -1728*x**2 - 1/2*x**4 - 165888 - 48*x**3 - 27648*x = 0.
-24
Factor 255*n**3 + 282*n**2 - 531*n**3 - 36504 - 126828*n + 255*n**3 + 2988*n**2.
-3*(n - 78)**2*(7*n + 2)
Let v be (-3 + 0)*12/(-9). Suppose -3*m - 10 = -2*x, -2*m = v*x - 0*m - 4. Factor 3*d**5 + 3*d**x - 3*d**5 + 3*d**5 + 9*d**3 + 9*d**4.
3*d**2*(d + 1)**3
Let c be -3 - (-7)/720*309. Let u(a) be the third derivative of 1/24*a**3 + 0 - 1/48*a**4 + 0*a**5 + 0*a - 1/840*a**7 + c*a**6 - 11*a**2. Factor u(n).
-(n - 1)**3*(n + 1)/4
Let 18*y + 79472*y**3 - 3*y + 5*y**4 - 79487*y**3 - 5*y**2 = 0. Calculate y.
-1, 0, 1, 3
Let u(z) be the second derivative of z**5/50 - 4*z**4/15 + 19*z**3/15 - 12*z**2/5 + 2*z + 20. Solve u(t) = 0 for t.
1, 3, 4
Let h = 18 + -11. Let d = -250 + 253. Factor 38*w**2 - 32*w**2 - 3 + h + 2*w**d - 2*w**4 - 10*w.
-2*(w - 1)**3*(w + 2)
Suppose 5*l = 20, 26*n - 21*n - l = 11. Factor -3/4*k**4 - 21/4*k**n - 3 - 39/4*k - 45/4*k**2.
-3*(k + 1)**3*(k + 4)/4
Let z(l) be the first derivative of -l**5/40 + 26*l**4 - 10816*l**3 + 2249728*l**2 - 233971712*l + 435. Factor z(d).
-(d - 208)**4/8
Let x = 299 - 296. Let j(l) be the third derivative of 0 - 7*l**2 + 1/24*l**4 + 0*l - 1/40*l**5 + 1/12*l**x. Determine d, given that j(d) = 0.
-1/3, 1
Let a(u) be the second derivative of -5*u**4/12 - 35*u**3/2 + 55*u**2 + 139*u. Factor a(v).
-5*(v - 1)*(v + 22)
Let h(y) = -y**2 + 7*y**2 + 19 + 22*y + y**2. Let c(g) = -6*g**2 - 21*g - 18. Let l(q) = -4*c(q) - 3*h(q). Factor l(f).
3*(f + 1)*(f + 5)
Let m(t) = -3*t - 12. Let d be m(-5). Factor c**d - 8*c + 78*c**2 - 5*c**3 + 2*c**3 - 70*c**2.
-2*c*(c - 2)**2
Let c(q) = 4*q**3 - 5*q**2 - 17*q + 8. Let s be (3 - 3/3) + 0. Let z(g) = 3*g**s + 0 - g - 2*g**3 - 2 + 10*g - 2. Let f(m) = -3*c(m) - 5*z(m). Factor f(v).
-2*(v - 1)**2*(v + 2)
Let r(i) = 148*i. Let l be r(0). Suppose -3 = -3*p + f, 5*p + 0*f - 25 = -5*f. Solve 0 + 2/5*j**p + l*j = 0 for j.
0
Find z, given that 11/4*z + 1/4*z**2 + 5/2 = 0.
-10, -1
Let r = -54 - -72. Suppose -r = -f - 16. Let 2/11*w**3 + 0 + 2/11*w**f - 2/11*w - 2/11*w**4 = 0. Calculate w.
-1, 0, 1
Find m, given that -15*m**2 - 6*m - 5*m**2 + 3*m + 8*m**2 = 0.
-1/4, 0
Let s(l) be the second derivative of l**5/40 - l**4/12 - 2*l**3/3 + 2*l + 272. Factor s(j).
j*(j - 4)*(j + 2)/2
Solve -6*o**4 - 25*o**2 + 48*o**2 + 3*o**5 - 12*o**3 + 33*o**2 - 6*o - o**5 - 42*o = 0 for o.
-3, 0, 2
Let d be (12/45)/(2/80) + -10. Let 2/3*n + d*n**2 - 4/3 = 0. What is n?
-2, 1
Let z(q) = -19*q**3 + 218*q**2 + 89*q + 12. Let d(t) = -2*t**3 - t**2 - 1. Let j(g) = 6*d(g) + 2*z(g). What is a in j(a) = 0?
-1/5, 9
Let y = -154 + 168. Suppose 16*a - 9*a = y. Let 0 + 1/3*b**3 + 1/3*b + 2/3*b**a = 0. Calculate b.
-1, 0
Let i = 18 - -13. Factor 20 + 4*h**2 + 10*h - 3*h - i*h.
4*(h - 5)*(h - 1)
Let t(f) = -f**3 + 14*f**2 + 31*f + 20. Let a be t(16). Let u(s) be the first derivative of 0*s**2 + 0*s - 2*s**3 + 2 - 15/4*s**a. Factor u(i).
-3*i**2*(5*i + 2)
Let r(q) be the first derivative of -1/6*q**3 - 12 + 0*q - 1/16*q**4 + 0*q**2. Factor r(j).
-j**2*(j + 2)/4
Find x, given that 36*x + 3*x**3 - 5*x**2 + 2*x**2 + 3*x**4 - 39*x = 0.
-1, 0, 1
Suppose 9*t + 1260 = -5*t. Let z be (3/(-5) - -1)/((-9)/t). Determine m so that -10*m**3 + 16/3*m**2 - 2/3*m + 0 - 16/3*m**z + 32/3*m**5 = 0.
-1, 0, 1/4, 1
Suppose 0*q + 2*q = -4. Let n(p) = 2*p**2 + 2*p - 1. Let d be n(q). Factor -y**3 - 2*y + 0*y**2 - d*y**2 + 6*y**2.
-y*(y - 2)*(y - 1)
Suppose y = -3*r + 9, -r - y + 0*y + 3 = 0. Let w = 8 + -5. Solve -2*s**2 - 11 - 1 - r*s**w + 6*s**2 + 5*s**2 = 0 for s.
-1, 2
Let m(h) be the second derivative of -h**6/30 - 3*h**5/4 - 4*h**4 - 22*h**3/3 - 375*h. Solve m(k) = 0.
-11, -2, 0
Let g = -42 - -45. Suppose 2*f - f = g, 1 = -m + f. Find v, given that -2/5*v**m - 4/5 - 6/5*v = 0.
-2, -1
Suppose 11*o = 3*o + 360. Let u be (o/10 - 6)/(-9). Let -1/2*j**2 + u*j + 1/3*j**3 + 0 = 0. Calculate j.
0, 1/2, 1
Let h(w) be the first derivative of -1/51*w**6 - 8/85*w**5 - 1/17*w**2 - 3/17*w**4 + 2 - 8/51*w**3 + 0*w. Solve h(f) = 0.
-1, 0
Let f be 1 + -2 + -4 + 65. Find l such that -f + 5*l + l + 63 + 3*l**2 = 0.
-1
Let f(c) be the first derivative of -c**4/12 + 20*c**3/9 - 56*c**2/3 + 64*c + 253. Let f(r) = 0. Calculate r.
4, 12
Let y(u) = 6*u**2 + 6*u - 4. Let m(k) = -6*k + 3*k**2 + 6*k - 4*k**2. Let p be 2 - (-24)/(3 - -1). Let c(d) = p*m(d) + y(d). Factor c(a).
-2*(a - 2)*(a - 1)
Let c(a) = 5*a**3 - 7*a**2 - a - 5. Let y be (21/(-6) - -3)*-6. Let f(k) = -k**3 - k**2 + k - 1. Let w(b) = y*c(b) - 12*f(b). Factor w(t).
3*(t - 1)*(3*t + 1)**2
Let j(i) be the second derivative of i**4/42 + 41*i**3/21 + 712*i. Solve j(a) = 0 for a.
-41, 0
Let d(z) = -z - 112. Let y be d(19). Let c = 919/7 + y. Factor 4/7 - 6/7*g + c*g**2.
2*(g - 2)*(g - 1)/7
Let r(u) = -2*u**3 - 14*u**2 - 9*u + 3. Suppose -14 = 3*s - 20. Let v(g) = -3*g**3 - 15*g**2 - 8*g + 2. Let z(t) = s*r(t) - 3*v(t). Find j, given that z(j) = 0.
-3, -2/5, 0
Let k = -75/239 + 853/1195. Factor 0*i - k*i**2 + 6/5*i**3 + 0 - 4/5*i**4.
-2*i**2*(i - 1)*(2*i - 1)/5
Let z(y) be the third derivative of -1/2*y**4 - 11/60*y**5 + 0*y - 2/3*y**3 + 7*y**2 + 0 - 1/40*y**6. Find s such that z(s) = 0.
-2, -1, -2/3
Let b be 8 + 0 + 1 + -1 + -2. Determine t so that -3*t**3 - 2 - 505*t**4 - t**3 + b*t - 4*t**2 + 511*t**4 - 2*t**5 = 0.
-1, 1
Let y be (-1998)/(-414) + -5 + 0. Let l = 39/92 + y. Determine o so that 1/2*o**2 - 1/4*o**3 + 0 - l*o = 0.
0, 1
Solve -110*a**3 - 145*a**3 + 164*a**5 + 60*a**3 + 35*a**4 - 110*a - 159*a**5 + 55*a**2 + 210*a**2 = 0 for a.
-11, 0, 1, 2
Let 4901/5*u - 650*u**2 - 41/5*u**4 + 586/5*u**3 + 1/5*u**5 - 2197/5 = 0. What is u?
1, 13
Let c = -12528 - -225581/18. Let v = c - 34/9. Factor s**3 - s + 1/2*s**2 + 0 - v*s**4.
-s*(s - 2)*(s - 1)*(s + 1)/2
Find a such that 1/7*a**2 + 0*a - 1/7 = 0.
-1, 1
Let r(k) = 7*k - k + 20 + 6*k + 0*k. Let p(d) = d**2 + 1. Let o(x) = 4*p(x) - r(x). Suppose o(w) = 0. What is w?
-1, 4
Let w = 3 + -9. Let k = w + 9. Let 2*l**3 - l - 3*l**3 + 2*l**k + l**4 + l**2 - 2*l**2 = 0. What is l?
-1, 0, 1
Determine i, given that -8/5*i**4 - 4/5*i**2 - 2/5*i**5 - 2*i**3 + 0 + 0*i = 0.
-2, -1, 0
Let l(p) be the second derivative of 1/63*p**7 + 3/10*p**5 + 0 + 0*p**4 + 0*p**2 - 13*p + 2/15*p**6 + 0*p**3. What is a in l(a) = 0?
-3, 0
Suppose 7*u - 11 - 38 = 0. Suppose 0 = u*a - 10 - 11. Find z such that 2*z**4 - 5*z**a + 8*z**4 - 5*z**4 - 10*z**2 = 0.
-1, 0, 2
Factor -1014 + 3/2*a**3 + 1092*a - 159/2*a**2.
3*(a - 26)**2*(a - 1)/2
Factor 432/7*q + 3/7*q**2 + 15552/7.
3*(q + 72)**2/7
Let p = 380 + -1896/5. Find y, given that 2/5*y**5 + 12/5*y**4 + 18/5*y + 28/5*y**3 + p + 32/5*y**2 = 0.
-2, -1
Let n be -8 + (-2)/((-90)/375). Factor -8/3*b**2 - n*b**3 + 0 - 16/3*b.
-b*(b + 4)**2/3
Let j(i) be the second derivative of i**7/735 - i**6/180 - i**5/210 - 4*i**3/3 - i. Let m(y) be the second derivative of j(y). Factor m(k).
2*k*(k - 2)*(4*k + 1)/7
Let i = 28 + -16. Factor i - 12 - 2*d**2 + 8.
-2*(d - 2)*(d + 2)
Suppose -36*l + 16*l = 0. Factor 9/5*k**3 - 3/5*k**5 - 12/5*k**2 + 6/5*k**4 + l - 12/5*k.
-3*k*(k - 2)**2*(k + 1)**2/5
Let 36/5 + 51/5*p - 3*p**2 = 0. What is p?
-3/5, 4
Let x(p) be the third derivative of -p**8/2240 + p**7/168 - 5*p**6/144 + 11*p**5/60 - 24*p**2. Let f(y) be the third derivative of x(y). Factor f(u).
-(3*u - 5)**2
Suppose 1 = -g, 0 = 7*b - 3*b - 3*g - 15. Factor 29*j**b + 3*j**2 - j**4 + 2 + 25*j**3 - 5*j + 26*j**3 - 79*j**3.
-(j - 1)**3*(j + 2)
Suppose 42*s = 47*s - 30, 3 = 3*j - 2*s. What is b in 3*b**j - 12/5*b**2 + 39/5*b**4 + 0 + 12/5*b**3 + 0*b = 0?
-2, -1, 0, 2/5
Let d(r) be the third derivative of 0 + 0*r - 2/5*r**4 + 11/75*r**5 + 18*r**2 + 8/15*r**3 - 1/50*r**6. Factor d(j).
-4*(j - 2)*(j - 1)*(3*j - 2)/5
Let a(v) be the first derivative of 2/33*v**3 - 8/11*v**2 - 1/33*v**6 + 5/22*v**4 + 5 - 2/55*v**5 + 8/11*v. Solve a(n) = 0 for n.
-2, 1
Factor 4/3*k**2 + 31/3 + 125/3*k.
(k + 31)*(4*k + 1)/3
Let b = 269