 be s(-1). Let x be 42/(-35)*10/(-3). Determine u, given that 3/2 + 6*u**3 + 3/2*u**x + t*u**2 + 6*u = 0.
-1
Let r(s) = -s + 9. Let j be r(4). Solve 16 + x**2 + j*x + 0*x**2 + 2*x + x = 0.
-4
Let v(r) be the first derivative of 27/4*r + 3/4*r**3 - 1/16*r**4 - 27/8*r**2 - 14. Factor v(x).
-(x - 3)**3/4
Let n(v) = v**2 + v - 1. Let d be (-1)/(4/(-20)) + -3. Let s be n(d). Factor -s + 9 + 3*a**2 - 4 + 3*a.
3*a*(a + 1)
Let a(y) be the second derivative of 245*y**6/3 + 749*y**5/4 - 375*y**4/2 + 70*y**3/3 + 20*y**2 - 461*y. Suppose a(w) = 0. What is w?
-2, -1/10, 2/7
Let c(v) = -69*v**3 - 502*v**2 - 41*v + 72. Let f(h) = -102*h**3 - 752*h**2 - 62*h + 108. Let n(u) = 8*c(u) - 5*f(u). Factor n(y).
-2*(y + 6)*(3*y - 1)*(7*y + 3)
Let s = -39 + 56. Suppose -2 = -w + 3, -i = -5*w + s. Suppose -2*d + 2*d**2 - 6*d + 0*d + i = 0. What is d?
2
Factor -9183*r + 9181*r + 0*r**3 - 2*r**3 + 8*r**2 - 12.
-2*(r - 3)*(r - 2)*(r + 1)
Let i = -30487/7 - -4422. Let v = 67 - i. Factor 4/7*x**2 + 0 + 0*x**3 - v*x - 4/7*x**4 + 2/7*x**5.
2*x*(x - 1)**3*(x + 1)/7
Determine v, given that -55*v**3 - 617*v**5 + 10*v**4 + 1244*v**5 - 622*v**5 - 60*v**2 = 0.
-4, -1, 0, 3
Let b(l) be the third derivative of -l**7/315 - l**6/30 - 2*l**5/45 + l**4/6 + 5*l**3/9 + 45*l**2. Let b(r) = 0. Calculate r.
-5, -1, 1
Let b(t) = t - 4. Let q be b(4). Let j = -332 - -334. Factor x + q - 1/3*x**3 - 2/3*x**j.
-x*(x - 1)*(x + 3)/3
Let t = 1/76 + 1055/684. Suppose -4/9*f**3 + 4/9 + t*f**2 - 14/9*f = 0. Calculate f.
1/2, 1, 2
Let n(i) be the second derivative of 4*i**2 + 1/10*i**5 + 34*i + 0 + 0*i**3 - 1/2*i**4. Factor n(k).
2*(k - 2)**2*(k + 1)
Let l(j) be the third derivative of -2*j**7/105 + j**6/15 + 7*j**5/15 + 2*j**4/3 - 4*j**2 - 30. Factor l(n).
-4*n*(n - 4)*(n + 1)**2
Let p = 569/7 - 81. Suppose 203 = 21*u + 140. Solve 2/7*x + 0 + 1/7*x**4 - 1/7*x**2 - p*x**u = 0.
-1, 0, 1, 2
Let f = -179 - -260. Let q = 83 - f. Let 0*x + 0*x**3 + 2/11*x**5 + 0 + 0*x**q - 2/11*x**4 = 0. Calculate x.
0, 1
Let l(j) be the third derivative of -j**9/75600 - j**8/12600 - 11*j**5/60 - 16*j**2. Let a(y) be the third derivative of l(y). Factor a(k).
-4*k**2*(k + 2)/5
Factor -18 - 5*x**2 + 5*x**5 + 1716*x**4 - 1711*x**4 + 22*x - 2 + 18*x - 25*x**3.
5*(x - 1)**3*(x + 2)**2
Let o(z) = -z**3 + 8*z**2 + 8*z + 9. Let i be o(9). Let d(r) be the second derivative of -r + i + 1/60*r**4 + 0*r**3 - 1/10*r**2. Factor d(q).
(q - 1)*(q + 1)/5
Let n(r) be the third derivative of -1/70*r**7 + 0*r**6 + 0 + 0*r - 8*r**2 + 0*r**3 + 1/20*r**5 + 0*r**4. Find d, given that n(d) = 0.
-1, 0, 1
Let q(j) = 3*j**2 - j - 1. Let u(n) = -52*n**2 - 166*n + 4250. Let f(g) = 36*q(g) + 2*u(g). Determine s, given that f(s) = 0.
46
Determine n so that -2/7*n**2 - 162/7 + 36/7*n = 0.
9
Let z = 178 - 226. Let d be (-1)/(-2) + (-72)/z. Find g such that 0 - 4/5*g**d - 4/5*g + 8/5*g**3 = 0.
-1/2, 0, 1
Let n(j) = 2*j**3 + 26*j**2 + 25*j + 29. Let m(f) = f**3 + 13*f**2 + 14*f + 14. Let t(z) = -7*m(z) + 3*n(z). Find h such that t(h) = 0.
-11, -1
Let g be 6/10 - 88/(-20). Suppose 3*d + 4 = g*d. Let d*q + 3*q**2 + 3*q**2 - 4*q**2 = 0. What is q?
-1, 0
Find l, given that 82*l**2 - 2*l**2 + 2*l**3 - 5*l**3 + 27*l = 0.
-1/3, 0, 27
Let q = -1 - -2. Let j be -3 + 4 + q + 0. Factor 6*s**j + 21*s**3 + 5 - 19*s**4 - 5 - 8*s**4.
-3*s**2*(s - 1)*(9*s + 2)
Let a(n) = n**3 - 38*n**2 + 398*n + 2. Let s(p) = p**2 - p + 1. Let v(d) = a(d) - 2*s(d). Factor v(b).
b*(b - 20)**2
Let x(y) be the third derivative of -y**6/80 - y**5/24 + y**4/24 + 4*y**2 + 4. Factor x(u).
-u*(u + 2)*(3*u - 1)/2
Let r be -5 + (1534/22)/13. Find y, given that -2/11 - 4/11*y**5 + r*y**2 + 4/11*y + 14/11*y**4 - 16/11*y**3 = 0.
-1/2, 1
Let h(d) be the third derivative of -d**7/1470 + 11*d**6/840 - 31*d**5/420 + d**4/8 - 331*d**2. Factor h(p).
-p*(p - 7)*(p - 3)*(p - 1)/7
Let p(v) be the third derivative of 1/6*v**4 + 0 + 0*v + 0*v**3 - 1/30*v**5 - 1/60*v**6 + 15*v**2. Factor p(y).
-2*y*(y - 1)*(y + 2)
Let p(t) = 2*t**3 + 1. Let v(n) = 163840*n**4 - 46068*n**3 + 4320*n**2 - 135*n + 6. Let b(k) = 6*p(k) - v(k). Factor b(f).
-5*f*(32*f - 3)**3
Let o be (9 - -1)/5 + 6. Factor -4*y**2 - 2*y - o - 2*y**3 + 9 - 1.
-2*y*(y + 1)**2
Let v(s) = -2*s - 13. Suppose 5*y - 5*d = 3 - 38, 0 = -2*y - 3*d - 24. Let t be v(y). Factor 4*n**4 - t*n**2 + 12*n**3 - 5*n**2 + 3*n**2 + 15*n**2.
4*n**2*(n + 1)*(n + 2)
Let q be (-17)/((-136)/(-48880)) - 1*4. Let w = -54874/9 - q. Factor 0 + w*s**2 - 722/9*s**3 - 8/9*s.
-2*s*(19*s - 2)**2/9
Let r be (-54)/8*(-13)/(-78)*-10. Suppose 3/2 - 21/4*d**5 + 30*d**2 + 45/2*d**4 - 75/2*d**3 - r*d = 0. Calculate d.
2/7, 1
Factor -2 - 8/3*u - 2/3*u**2.
-2*(u + 1)*(u + 3)/3
Suppose 0 = -2*d + 2*k + 16, 2*d - d + 8 = -3*k. Suppose -3 = z - d*z. What is j in -3 - 6*j - j**3 + z + j - 4*j**2 = 0?
-2, -1
Let l(v) be the first derivative of 8*v**5/35 - 53*v**4/14 + 6*v**3/7 + 53*v**2/7 - 26*v/7 + 263. What is b in l(b) = 0?
-1, 1/4, 1, 13
Let z(s) be the first derivative of -4*s**6/33 + 18*s**5/55 + 29*s**4/11 - 26*s**3/3 + 96*s**2/11 - 32*s/11 + 83. Let z(v) = 0. What is v?
-4, 1/4, 1, 4
Let k be (-4)/(7/(-12) - 3/(-9)). Factor 24*u + k + 3*u**2 + 8 + 4 - u**3.
-(u - 7)*(u + 2)**2
Let z(n) be the first derivative of 3*n**5/20 + 7*n**4/4 - n**3/2 - 21*n**2/2 + 13*n + 2. Let t(d) be the first derivative of z(d). Factor t(k).
3*(k - 1)*(k + 1)*(k + 7)
Suppose -6*h + 2 = -10. Let s = h + 0. Suppose 10*t**5 + 1 - 6*t**5 + 4*t + 1 - 8*t**2 - 8*t**3 + 4*t**4 + s = 0. What is t?
-1, 1
Let p be (4/(-18) - 0) + (-80)/(-144). Let l(b) be the first derivative of 9/8*b**2 + 1/2*b + 2 + p*b**3. Find k, given that l(k) = 0.
-2, -1/4
Let j(f) be the first derivative of 3*f**5/20 + f**4/4 - 5*f**3/2 + 9*f**2/2 - 34*f + 31. Let n(u) be the first derivative of j(u). Solve n(l) = 0.
-3, 1
Suppose 4*j = 3*j + 14. Let c(p) = 10*p**2 - 16*p + 6. Let v(t) = -2*t**2 + 3*t - 1. Let b(g) = j*v(g) + 3*c(g). Factor b(z).
2*(z - 2)*(z - 1)
Let j(o) be the first derivative of 0*o**4 - 1/1980*o**6 + 1/660*o**5 + 0*o**2 + 4 - o**3 + 0*o. Let c(k) be the third derivative of j(k). Factor c(p).
-2*p*(p - 1)/11
Let g(u) be the third derivative of 5*u**6/36 - 37*u**5/6 - 38*u**4/3 - 92*u**3/9 - 99*u**2. Determine t, given that g(t) = 0.
-2/5, 23
Let d(l) = l**3 - 1128*l**2 + 2274*l - 1147. Let i(h) = -376*h**2 + 758*h - 382. Let c(s) = 2*d(s) - 7*i(s). Solve c(w) = 0.
-190, 1
Let h(p) be the second derivative of 7*p**3 + 0 + 2*p**2 + 29/3*p**4 + 39/10*p**5 - 14*p. Factor h(y).
2*(y + 1)*(3*y + 1)*(13*y + 2)
Let v = -4 - -7. Suppose -2*f = -431*b + 436*b + 4, 2*b + 4*f = -8. Solve b + 11/7*j**2 + j**4 + 16/7*j**v + 2/7*j = 0 for j.
-1, -2/7, 0
Suppose 23*b + 0*b + 598 = 0. Let g be b/56 - (-6 + 147/28). Let -2/7*d**2 + 4/7 + 6/7*d - g*d**4 - 6/7*d**3 = 0. What is d?
-2, -1, 1
Let y = 95 + -79. Let k be 1/(-4)*1 - (-4)/y. What is a in 3/7*a - 3/7*a**3 + 0*a**2 + k = 0?
-1, 0, 1
Let j(b) = -4*b - 137. Let x be j(-35). Suppose -3*t + 2*p - 2 = -x, 4*t + 8 = 5*p. Let 0 + 4/9*y**2 - 2/9*y - 2/9*y**t = 0. What is y?
0, 1
Factor -22/5*l + 24/5 - 2/5*l**2.
-2*(l - 1)*(l + 12)/5
Let i(w) be the second derivative of -2 + 1/14*w**4 + 1/10*w**5 + 0*w**2 + 3*w + 0*w**3 + 2/105*w**6. Factor i(p).
2*p**2*(p + 3)*(2*p + 1)/7
Let r be (-25)/510 + (-6 - 37/(-6)). Let r*n**4 - 6/17*n**2 + 0*n**3 + 0 + 4/17*n = 0. Calculate n.
-2, 0, 1
Suppose -360*l = -359*l - 2. Suppose 0*h + 5/4*h**5 - 5/4*h**3 + 0*h**4 + 0*h**l + 0 = 0. What is h?
-1, 0, 1
Factor 1/2*v - 1/8*v**3 - 3/8*v**2 + 0.
-v*(v - 1)*(v + 4)/8
Let c(z) be the third derivative of -z**6/48 + 16*z**5/15 - 47*z**4/12 - 8*z**3 - 2*z**2 - 55. Factor c(v).
-(v - 24)*(v - 2)*(5*v + 2)/2
Let h(i) = -i**2 - 1019*i - 8083. Let p be h(-8). Factor -4*c**4 + 0 + 26/3*c**3 - 8*c**2 + 8/3*c + 2/3*c**p.
2*c*(c - 2)**2*(c - 1)**2/3
Let j(q) be the first derivative of 8*q**5/25 + 3*q**4/2 + 32*q**3/15 + 3*q**2/5 - 4*q/5 - 71. Find r such that j(r) = 0.
-2, -1, 1/4
Let v(i) = i**3 - 9*i**2 + 12*i - 30. Let l be v(8). Let s be (-60)/(-48)*(-2)/(-5). Factor -5/2*c**3 + 0 + 4*c**l - 2*c + s*c**4.
c*(c - 2)**2*(c - 1)/2
Let q(d) = -6 + 1 - d**2 - 11*d - 2. Let s be q(-10). Solve -3*x**4 + 4*x**2 + 8*x**s + 11 - 10*x**2 - 10 = 0.
-1/3, 1
Find k, given that -52/11*k**2 - 38*k - 88 - 2/11*k**3 = 0.
-11, -4
Let t be 7 +