-1, 0, 3
Let b(v) = v**4 + v**3 - v - 1. Let k(u) = 553*u**3 - 1101*u**2 + 549*u - 1. Let z(r) = 5*b(r) - 5*k(r). Factor z(q).
5*q*(q - 550)*(q - 1)**2
Let s = -134 + 136. Find l such that 200*l + 124*l**5 + 20 + 425*l**3 - 44*l**5 + 420*l**3 + 440*l**4 + 665*l**s = 0.
-2, -1, -1/4
Let v(p) be the first derivative of -4/5*p**5 + 0*p + 0*p**2 + 0*p**3 + 28 + 0*p**4 + 1/6*p**6. Factor v(y).
y**4*(y - 4)
Let i(r) be the third derivative of 16/3*r**4 + 34*r**2 - 1/210*r**7 - 12/5*r**5 + 512/3*r**3 + 11/60*r**6 + 0*r + 0. Determine n, given that i(n) = 0.
-2, 8
Let w = -129372 + 646884/5. Factor 0 - w*f - 2/5*f**2.
-2*f*(f + 12)/5
Let x be ((-101061)/37430)/(3 - 24/5). Factor x*m**2 - 36*m + 0.
3*m*(m - 24)/2
Let w(m) = -5*m - 109. Let s be w(-21). Let o be (4 - 0)/(-88)*s. Factor 6/11*r**2 - 4/11*r + 0 - o*r**3.
-2*r*(r - 2)*(r - 1)/11
Suppose -4*z = 10*q - 14*q + 124, -3*q + 2*z + 98 = 0. Factor 2*o**4 - 14*o**3 + 0*o + 16 - 24*o - 16*o + q*o**2.
2*(o - 2)**3*(o - 1)
Let u = -7607785 + 8330525431/1095. Let n = u + 4/219. Factor n - 2/5*f - 2/5*f**2.
-2*(f - 1)*(f + 2)/5
Let p(c) be the first derivative of -c**5/270 + c**4/2 - 27*c**3 - 61*c**2 - 110. Let f(y) be the second derivative of p(y). What is z in f(z) = 0?
27
Let h = 762/277 - 6166/3047. Suppose 26/11*u**3 + 8/11*u**4 + 6/11*u**2 - 32/11*u - h = 0. Calculate u.
-2, -1/4, 1
Suppose j + 2*z - 10 = -6, 5*j - 5*z = 5. Suppose j*n + 3*h - 7 = 9, 0 = -2*h + 4. Solve -12*r**4 - 6*r**n + 0*r - 16/9*r**2 + 0 - 8*r**3 = 0 for r.
-2/3, 0
Let j = 9613/2 - 4802. Let v(a) be the first derivative of 6/5*a**5 - 9/4*a**4 - j*a**2 + 0*a - 8*a**3 + 27. Factor v(b).
3*b*(b - 3)*(b + 1)*(2*b + 1)
Let b be 2/(-39)*16929/(-54) + 5*-3. Let w = 2 + 1. Suppose -10/13*u**4 - b*u + 4/13 + 14/13*u**w + 6/13*u**2 = 0. What is u?
-1, 2/5, 1
Let k(c) = -c**3 + 6*c**2 + 4*c + 24. Let i be k(7). Suppose -9*d - i*d = -204. Find y, given that 28*y + 21 - 60*y**3 + y**2 - 18*y**4 - d - 10 - 9*y**2 = 0.
-3, -1, 1/3
Let p(w) = 14*w - 330. Let o be p(24). Solve -6 + 60*m - 3*m**3 + 3*m**2 - o - 27*m - 21*m = 0.
-2, 1, 2
Let z(j) = -j**2 + 13*j + 0 + 9 + 7. Let h be z(14). Let -3*l**h + 15 - 2*l**2 + 29*l - 19*l = 0. Calculate l.
-1, 3
Let a be 1 + (42/48)/((-3)/189). Let w = 13/8 - a. What is t in 10*t + 45/4*t**5 + w*t**3 + 141/4*t**2 + 1 + 163/4*t**4 = 0?
-1, -2/5, -2/9
Let l(f) = 2*f**5 + f**4 + f**2 + f - 1. Let p(a) = -8*a**5 + a**4 - 7*a**2 - a + 3. Let n(k) = -3*l(k) - p(k). Determine w so that n(w) = 0.
-1, 0, 1
Let f be 20/96*6384/1995. Factor 14/3*k**3 - 36 + 6*k**2 + f*k**4 - 18*k.
2*(k - 2)*(k + 3)**3/3
Let h(k) be the first derivative of 4/3*k**4 + 0*k + 32/3*k**3 + 0*k**2 - 66 + 2/45*k**5. Factor h(x).
2*x**2*(x + 12)**2/9
Let q(o) be the third derivative of o**6/30 + 68*o**5/15 + 22*o**4 + 9*o**2 + 45*o. Determine m, given that q(m) = 0.
-66, -2, 0
Let u = 1168/39 + -346/13. Let c(d) be the first derivative of 7*d**2 - u*d**3 - 6*d + 1/2*d**4 + 17. What is o in c(o) = 0?
1, 3
Suppose -3*q - 5*i + 260 = 700, -2*i + 754 = -5*q. Let g = -150 - q. Let g + 1/7*w**2 + 1/7*w = 0. Calculate w.
-1, 0
Let p(d) be the third derivative of 0*d - 2/105*d**7 + 10/3*d**3 + 0 + 7/30*d**6 - 13/12*d**4 - 1/168*d**8 - 4/15*d**5 - 36*d**2. Solve p(a) = 0 for a.
-5, -1, 1, 2
Let k be 1*(1 - -4) - 6/3. Suppose k*b - 43 = -34. Suppose -3/5*x**5 + 81/5*x**2 + b*x**3 + 36/5 - 9/5*x**4 + 96/5*x = 0. Calculate x.
-2, -1, 3
Find q, given that -27/8*q**4 + 27/2 - 105/4*q**3 - 519/8*q**2 - 45*q = 0.
-3, -2, 2/9
Factor -464*b**4 + 897*b**4 - 24*b**5 - 447*b**4.
-2*b**4*(12*b + 7)
Let u be (-60)/24*8/(-10). Suppose 5*y = 2*x + 36, -2*y + 6 = -10. Factor 2*l - 3*l**u - 1/2*l**4 - 1/2 + x*l**3.
-(l - 1)**4/2
Suppose -8*a = -15 - 17. Factor 6*m**3 - 9 + 33*m - 42*m**2 + 2*m**4 + 12*m**3 + m**a - 3*m**5 + 0*m**2.
-3*(m - 1)**4*(m + 3)
Let w(c) be the first derivative of -2*c**3/9 + 46*c**2 - 1072*c/3 + 183. Factor w(g).
-2*(g - 134)*(g - 4)/3
Let u(v) be the third derivative of -v**6/360 - 3*v**5/20 + v**4/72 + 3*v**3/2 - 6*v**2 - 238*v. Solve u(w) = 0.
-27, -1, 1
Let v be ((-6)/27)/(6 + (-1678)/273). Let o = -11/12 + v. Let -1/5*g**2 + 2/5*g + o = 0. Calculate g.
-1, 3
Factor 1351*b + 350*b + 1431*b - 149*b - 1340964 - 4*b**2 + 1649*b.
-4*(b - 579)**2
Let j = 356 - 354. Suppose -841 + 867 - h**j - 24*h - h**2 = 0. Calculate h.
-13, 1
Suppose -4*m - 752 - 55 = -3*q, 2*q = 4*m + 806. Let x = m + 203. Determine y, given that -4/23*y + 0 - 2/23*y**x = 0.
-2, 0
Factor -85*j**2 + 171*j**2 - 385*j - 81*j**2 + 1110.
5*(j - 74)*(j - 3)
Factor 83/5*k**3 - 1/5*k**4 + 981/5*k - 613/5*k**2 - 90.
-(k - 75)*(k - 6)*(k - 1)**2/5
Let u = -725712/5 + 145146. Factor -u + 2/5*r**2 - 16/5*r.
2*(r - 9)*(r + 1)/5
Let r(d) be the third derivative of -242*d**2 - 1/120*d**6 + 0*d**3 - 1/1344*d**8 + 0 + 0*d**5 + 0*d - 1/168*d**7 + 0*d**4. Suppose r(w) = 0. Calculate w.
-4, -1, 0
Suppose -12176*m + 12033*m = 0. Solve 1/2*f**2 + m*f + 0 = 0.
0
Find a such that 917*a**2 - 66*a - 3844*a**3 - 224 + 123*a**4 - 4474*a**3 + 7573*a**3 - 5*a**5 = 0.
-2/5, 1, 7, 16
Let z(f) be the third derivative of -29*f**2 + 1/240*f**6 + 0*f**3 + 0*f**4 + 0 - 1/2016*f**8 + f + 0*f**7 - 1/180*f**5. Let z(x) = 0. Calculate x.
-2, 0, 1
Let m(x) = 17*x - 31. Let u be m(-36). Let s = 646 + u. Determine n, given that 1/2*n**4 + n**2 + 5/2*n - 3/2 - 3*n**s + 1/2*n**5 = 0.
-3, -1, 1
Let k = 1836 + -1834. Let m(u) be the first derivative of -2/7*u - 1/21*u**3 - 3/14*u**k + 8. Find n such that m(n) = 0.
-2, -1
Let p = 155959 - 155956. Solve 0*y - 2/11*y**4 - 12/11*y**p + 0 - 10/11*y**2 = 0.
-5, -1, 0
Let q(s) = -s**3 - 4*s**2 + s + 4. Let c(j) be the third derivative of -j**5/20 + j**3/2 - j**2 + 268. Let i = 3 - 5. Let f(v) = i*c(v) + 3*q(v). Factor f(r).
-3*(r - 1)*(r + 1)*(r + 2)
Let o be (5/((-500)/(-15)))/((-9)/(-84)). Solve 1/5*p**3 + 0 - o*p**2 + 2*p = 0.
0, 2, 5
Let r(y) = 15*y**3 - 95*y**2 + 5. Let m(q) = -1 + 7 - 47*q**2 + 11*q**3 - 3 - 3*q**3. Let h(b) = 5*m(b) - 3*r(b). Solve h(d) = 0 for d.
0, 10
Let l(a) be the second derivative of 0*a**2 - 16/3*a**4 - 22/5*a**5 - 1 + 0*a**3 + 2/5*a**6 + 18*a. Factor l(i).
4*i**2*(i - 8)*(3*i + 2)
Let y be (-482)/(-40) + -66 + 54. Let v(k) be the third derivative of 0 - 1/105*k**7 - 1/120*k**5 - 1/4*k**4 + 11*k**2 + y*k**6 - 1/3*k**3 + 0*k. Factor v(l).
-(l - 2)**2*(2*l + 1)**2/2
Let c(o) be the third derivative of -3 - o**2 - 1/144*o**6 - 1/420*o**7 + 0*o + 23/180*o**5 - 10/9*o**3 - 7/36*o**4. Suppose c(a) = 0. Calculate a.
-5, -2/3, 2
Let p(m) be the third derivative of 20/3*m**3 - 2*m**2 + 2/15*m**5 + 2/3*m**6 + 0 - 8/35*m**7 + 1/84*m**8 + 0*m - 7/2*m**4. Find o, given that p(o) = 0.
-1, 1, 10
Let t(b) be the third derivative of -1/105*b**5 + 8/21*b**3 + 11/420*b**6 + 1/1176*b**8 - 2/245*b**7 + 0 - 4*b**2 - 1/7*b**4 - 13*b. Factor t(f).
2*(f - 2)**3*(f - 1)*(f + 1)/7
Suppose -5*o = -8*o + 4*i - 9, 0 = -o + 2*i - 5. Let y be 4 - (-52)/78*o*-3. Factor 16/7*q + y + 2/7*q**2.
2*(q + 1)*(q + 7)/7
Let u(s) = -2*s**2 - 4*s + 7. Let m be u(2). Let j be (-4 - m)*12/70. What is l in -8/21*l**3 - 46/21*l**2 + j - 20/7*l = 0?
-3, 1/4
Find d such that 4418 + 502669/2*d**2 + 225/2*d**4 + 10605*d**3 + 66458*d = 0.
-47, -2/15
Let q(n) be the first derivative of -79 - 1/5*n**5 - 1/18*n**6 - 1/4*n**4 + 0*n + 0*n**2 - 1/9*n**3. Factor q(p).
-p**2*(p + 1)**3/3
Let u = 96321/78208 + -5/6016. What is o in -24/13 + 2/13*o**3 + 38/13*o - u*o**2 = 0?
1, 3, 4
Let a(v) = v + 9. Let h be a(-5). Suppose -5*j + 7 = -5*g - 3, 0 = -j - g + h. Factor 4*x + 8 - j*x**3 + 2*x**3 + 5*x**2 - 13*x**2 - 3*x**3.
-4*(x - 1)*(x + 1)*(x + 2)
Let b(a) be the second derivative of a**4/12 - a**3 + 5*a**2/2 - 2207*a. Suppose b(t) = 0. Calculate t.
1, 5
Let i = -899 + 689. Let h = i + 1479/7. What is g in -3/7*g**2 + h*g + 0 = 0?
0, 3
Factor 18*t**2 - 30*t + 8*t + 440*t**3 + 8 - 2*t**4 - 442*t**3.
-2*(t - 1)**3*(t + 4)
Let g(c) be the first derivative of 1/6*c**3 - 2*c - 1/16*c**4 + 126 + 1/2*c**2. Factor g(n).
-(n - 2)**2*(n + 2)/4
Let i(x) be the first derivative of -x**5/10 + 105*x**4/8 - 969*x**3/2 + 7803*x**2/4 + 773. Determine m, given that i(m) = 0.
0, 3, 51
Suppose 8*b - 5*m = 13*b, 2*m - 6 = -5*b. Find w such that b - 9*w**3 - 2 - 154*w**4 + 6*w**2 + 157*w**4 = 0.
0, 1, 2
Suppose 8*m - 893 = 