7*t**4 + s*t**3 - 384/7*t + 0 = 0 for t.
-8, 0, 3
Suppose v + 16 = 3*k, 9*k - 8 = 5*k - 2*v. Suppose -15*u + 110*u**3 + 92*u**5 + 35 + 15*u**k + 190*u**2 - 97*u**5 + 150*u = 0. What is u?
-1, 7
Let v = 445069 + -445067. Factor 26 - 1/2*a**v + 51/2*a.
-(a - 52)*(a + 1)/2
Let s(n) be the third derivative of -n**7/1575 - n**6/300 + 119*n**5/450 - 31*n**4/12 + 70*n**3/9 + n**2 - 187. Let s(j) = 0. Calculate j.
-14, 1, 5
Let i(l) be the second derivative of -11/14*l**4 + 0*l**3 - 247*l + 0*l**2 + 0 + 1/140*l**5. Factor i(o).
o**2*(o - 66)/7
Let w = 41 - 23. Let v = w - 16. Factor 17*y - 4*y + 4*y**2 + 12 + v*y + y.
4*(y + 1)*(y + 3)
Let h(w) = -w**2 - 734*w + 2215. Let x be h(3). Suppose -1/4*f - 5/8*f**2 - 1/2*f**3 + 0 - 1/8*f**x = 0. Calculate f.
-2, -1, 0
Let m(x) be the first derivative of -8*x**2 - 4*x**3 + 4*x**4 - 4/5*x**5 + 16*x + 37. Find i, given that m(i) = 0.
-1, 1, 2
Solve 33351*x**5 + 2199 - 300*x**4 + 10636*x**3 + 21517 - 33349*x**5 + 58674*x + 45896*x**2 = 0.
-2, -1, 77
Factor 2*j**2 - 85 - 142 + 22 - 23 - 70*j.
2*(j - 38)*(j + 3)
Let y = -6 - -9. Factor 13*s**3 - 24*s**2 + 20 + 9*s**y + 4*s**4 - 8*s**3 + 2*s**3 - 16*s.
4*(s - 1)**2*(s + 1)*(s + 5)
Factor -984/7*h + 80688/7 + 3/7*h**2.
3*(h - 164)**2/7
Factor -102*c - 520/9 + 82/3*c**2 + 4/9*c**3.
2*(c - 4)*(c + 65)*(2*c + 1)/9
Let s(o) = 4*o**4 - 53*o**3 - 285*o**2 - 249*o - 14. Let t(i) = -2*i**4 + 26*i**3 + 142*i**2 + 126*i + 8. Let c(m) = -4*s(m) - 7*t(m). Factor c(z).
-2*z*(z - 19)*(z + 1)*(z + 3)
Suppose 0 = -5*k + j + 13, -k + j + 8 = -j. Suppose -i + 3*i = 4. Factor 7*o**2 - 14*o + i*o**3 + 7 + 1 - 3*o**k.
2*(o - 1)**2*(o + 4)
Let o(s) = -10*s**2 + 12*s - 14. Suppose -3*a + 3 = -9. Let n(i) = 81*i + 11*i**2 + a - 93*i + 11. Let j(k) = 6*n(k) + 7*o(k). Factor j(d).
-4*(d - 2)*(d - 1)
Let l = -7649 - -45895/6. Let i(t) be the second derivative of 7/3*t**3 - l*t**4 - 6*t**2 + 0 - 4*t. Factor i(f).
-2*(f - 6)*(f - 1)
Let m(w) = 2*w + 12. Let p be m(-4). Determine y, given that -73*y**2 - 156 - 24*y**p + 82 + 8*y**2 + 15*y**3 - 106 - 255*y + 29*y**4 = 0.
-3, -1, 4
Let l be (18/30)/((-18)/19890). Let y = 669 + l. Factor 0 - 4/3*a**2 + y*a**4 + 0*a + 14/3*a**3.
2*a**2*(a + 1)*(9*a - 2)/3
Suppose -3*m = -m + z - 4, -5*m = 4*z - 4. Determine w, given that 4*w**3 - 104*w**4 - 54*w - 94*w**4 + 27 + 194*w**m + 27*w**2 = 0.
-3, 1, 3/2
Let q be 1642/(-2463)*3/(-2)*3. Factor -1/2*a**2 + 3/4*a**4 + a**q - 1/4 - a.
(a - 1)*(a + 1)**2*(3*a + 1)/4
Let w(z) be the third derivative of -123*z**5/4 + 1825*z**4/24 + 10*z**3/3 + 40*z**2 + 87. Solve w(h) = 0 for h.
-4/369, 1
Let -171/4*y**4 - 19/2*y + 7/8*y**3 + 33*y**2 + 0 - 9/8*y**5 = 0. Calculate y.
-38, -1, 0, 1/3, 2/3
Let f be ((-32)/24 - 0)*18/(-8). Determine k so that -48*k - 14*k**2 + 42*k**5 - 19*k**5 + 32 + 46*k**f - 21*k**5 - 18*k**4 = 0.
-1, 1, 4
Let k(u) = -u**2 - 14*u - 18. Suppose -h + 31 = 3*g + 4*h, -4*g + 2*h + 24 = 0. Let a(y) = -2*y**2 - 22*y - 27. Let d(i) = g*k(i) - 5*a(i). Factor d(o).
3*(o + 1)*(o + 3)
Let w(m) = 6*m**3 + 39*m**2 - 110*m + 5. Let f(p) = 2*p**3 + 20*p**2 - 56*p + 2. Let i(x) = -5*f(x) + 2*w(x). Factor i(g).
2*g*(g - 6)*(g - 5)
Determine k so that 722/7*k**4 + 8192/7 + 175136/7*k**2 - 76800/7*k + 22800/7*k**3 = 0.
-16, 4/19
Let y be 16/(-72) - (-20)/90. Factor -9/8*m**2 + 1/8*m**3 + y*m + 0.
m**2*(m - 9)/8
Let f = -202300 - -202300. Let -2*d + 2/3*d**2 + f = 0. Calculate d.
0, 3
Let c(x) be the first derivative of -x**3 - 110 + 21/2*x**2 - 30*x. Determine r so that c(r) = 0.
2, 5
Let l(x) be the third derivative of -2*x**7/315 - 179*x**6/540 + 31*x**5/270 + 5*x**4/18 - 7604*x**2. Suppose l(f) = 0. Calculate f.
-30, -1/3, 0, 1/2
Factor -2*d**3 - 22*d**2 - 40*d - 2412 + 4871 - 2395.
-2*(d - 1)*(d + 4)*(d + 8)
Let q(d) be the third derivative of -26*d**5/15 - 37*d**4/12 - 2*d**3 - 7*d**2 + 3*d. What is a in q(a) = 0?
-6/13, -1/4
Let z = 1812 - 1808. Let b(j) be the second derivative of 0 + 0*j**z + 0*j**3 + 2/15*j**6 + 10*j + 0*j**2 + 2/21*j**7 - 2/5*j**5. Suppose b(y) = 0. What is y?
-2, 0, 1
Let o(u) = u**5 - u**4 - u - 1. Let l(w) = -4*w**5 - 17*w**4 - 70*w**3 - 100*w**2 - 62*w - 13. Let d(z) = -l(z) - 3*o(z). Solve d(j) = 0.
-16, -1
Let d(j) be the third derivative of j**10/982800 - j**8/43680 - j**7/16380 - 29*j**5/12 + 4*j**2 - 6*j. Let t(c) be the third derivative of d(c). Factor t(o).
2*o*(o - 2)*(o + 1)**2/13
Let m(w) = 3*w + 12. Suppose -2*r = -4*g + 15 + 5, -5*g - r + 11 = 0. Let j be m(g). Solve j + 39*b + 0 - 3*b**3 + 6*b**2 + 9*b**2 = 0 for b.
-1, 7
Let z(t) be the third derivative of t**7/210 + t**6/120 - t**5/3 - 5*t**2 + 150*t. Factor z(u).
u**2*(u - 4)*(u + 5)
Let l = -1000204/17 - -58836. Factor 0 + 2/17*z**2 - l*z**3 - 6/17*z**4 + 4/17*z.
-2*z*(z + 1)**2*(3*z - 2)/17
Factor 0 - 183/7*f**2 + 0*f - 185/7*f**4 - 367/7*f**3 - 1/7*f**5.
-f**2*(f + 1)**2*(f + 183)/7
Let q(g) = 2*g**3 + 208*g**2 + 33*g + 3435. Let h be q(-104). Factor -3 - 3/4*l**h + 3/4*l**2 + 3*l.
-3*(l - 2)*(l - 1)*(l + 2)/4
Suppose -70 = 11*y - 81. Factor -6994*j + 6984*j + 2*j**2 - y + 9.
2*(j - 4)*(j - 1)
Let p(h) be the third derivative of 3*h**8/112 + 11*h**7/35 - 17*h**6/30 - 14*h**5/5 - 8*h**4/3 - 2*h**2 - 1302*h. Factor p(j).
j*(j - 2)*(j + 8)*(3*j + 2)**2
Find h such that -1/6*h**2 - 43/6 + 22/3*h = 0.
1, 43
Let f(h) = 14*h**3 + 314*h**2 + 156*h. Let l(j) = -j**3 - 14*j**2 - j. Let w(c) = f(c) + 12*l(c). What is z in w(z) = 0?
-72, -1, 0
Let a = 29677 - 88189/3. Let p = a + -280. Factor p + 0*y**2 - 2/3*y**4 - 4/3*y + 4/3*y**3.
-2*(y - 1)**3*(y + 1)/3
Let j(a) be the first derivative of a**6/2 - 69*a**5/5 + 249*a**4/2 - 272*a**3 - 1344*a**2 + 3072*a + 15. Determine u, given that j(u) = 0.
-2, 1, 8
Solve 194*h - 1012*h + 3474*h + 1278 + 1175*h - 1044*h**2 + 1035*h**2 = 0.
-1/3, 426
Let b be 2 + 0 - (-6 + (5 - 6)). Let j be (-14)/(-4) - b/6. Solve -3/7*q + 3/7*q**3 + 1/7*q**j - 2/7 + 1/7*q**4 = 0 for q.
-2, -1, 1
Let w = 911 + -901. Suppose 2*a - 3*x + w = 14, -1 = a - 3*x. What is z in 0 + 0*z**4 + 0*z**2 - 1/3*z**3 + 0*z + 1/3*z**a = 0?
-1, 0, 1
Let o(i) be the first derivative of i**6/3 + 362*i**5/5 - 183*i**4/2 - 362*i**3/3 + 182*i**2 + 1460. Determine p, given that o(p) = 0.
-182, -1, 0, 1
Let f(k) = 4*k**3 - 2. Let g(u) = 21*u**3 - 135*u**2 - 290*u - 8. Let b(d) = 4*f(d) - g(d). Factor b(p).
-5*p*(p - 29)*(p + 2)
Solve -27543608 + 59*d**3 + 56739*d - 906*d**2 - 16*d**3 - 330351*d - 44*d**3 = 0 for d.
-302
Let j(h) be the first derivative of -3*h**5/5 + 42*h**4 - 423*h**3 - 162*h**2 + 15228*h - 9107. Factor j(q).
-3*(q - 47)*(q - 6)**2*(q + 3)
Let l be (-8)/(-6) - 222/(-333). Let i(z) be the second derivative of -29*z - 4/3*z**l + 0 + 11/18*z**3 + 1/24*z**4. Factor i(d).
(d + 8)*(3*d - 2)/6
Let g be (-4)/106 + (-9177)/(-3021). Let 2/21 + 2/3*y - 2/21*y**2 - 2/3*y**g = 0. What is y?
-1, -1/7, 1
Let d(s) be the third derivative of s**5/12 - s**4/24 + 7*s**3/6 + 21*s**2. Let g be d(4). Let -g*c + 2*c**3 + c**3 + 110*c - 18*c**2 = 0. Calculate c.
0, 3
Suppose -2974*k - 13*k**2 + 8*k**2 + 2996*k - k**3 - 16 = 0. What is k?
-8, 1, 2
Let m be 3/((-33660)/(-23936)*(-8)/(-6)). Factor -4*x + 16/5 + m*x**2 - 1/5*x**3.
-(x - 4)*(x - 2)**2/5
Let k(y) be the second derivative of 4/5*y**5 - 3 + 2/15*y**6 + 0*y**2 + 0*y**3 - 2*y + 4/3*y**4. Factor k(l).
4*l**2*(l + 2)**2
Factor -400*j - 47 - 3804*j**4 + 3803*j**4 + 192*j**2 - 28*j**3 + 319.
-(j - 2)**3*(j + 34)
Suppose -j - 4 = -a, -13426*a + 13422*a + 18 = -3*j. Solve 1/4*b**j - 11/2*b + 121/4 = 0.
11
Let q = 1419 + -804. Suppose -85 + 18*r**2 + q*r + 259 + 13*r**2 - 10*r**2 = 0. What is r?
-29, -2/7
Let 44/7*q - 2/7*q**2 + 46/7 = 0. What is q?
-1, 23
Find c such that 1420/3*c - 112/3*c**2 - 3800/3 - 4/3*c**3 = 0.
-38, 5
Let c be (-9 - 4)*(-7)/24 + (-235)/1880. Solve -c*x - x**2 + 4/3 = 0.
-4, 1/3
Let x(d) be the second derivative of 67*d + 1/40*d**6 + 0 + 0*d**4 + 0*d**2 + 1/80*d**5 - 1/42*d**7 + 0*d**3. What is i in x(i) = 0?
-1/4, 0, 1
Let z be 7 - -3*(-5)/15. Suppose 4*s - 22 = 7*k - z*k, 5*k - 5 = -3*s. Suppose 0*y - 2/3*y**4 + 2/3*y**3 + 2/9*y**s + 0 - 2/9*y**2 = 0. What is y?
0, 1
Suppose -6*c + 2288 = 2252. Let p(g) be the third derivative of -9/80*g**c - 22*g**2 + 0*g - 7*g**4 - 57/40*g**5 - 16*g**3 + 0. Factor p(k).
-3*(k + 1)*(3*k + 8)**2/2
Let d(v) = -v**3 - 13*v**2 + 