+ 1)*(2*v + 1)/3
Suppose -321*n + 633 = 207*n - 829 + 406. Suppose -5*z + 15 = -10. Solve 24*q**4 + 33/2*q - 21/2*q**z - 21*q**n - 6*q**3 - 3 = 0 for q.
-1, 2/7, 1
Factor 61357/3*h**2 + 49/12*h**4 + 274576/3 + 595*h**3 - 89080*h.
(h - 2)**2*(7*h + 524)**2/12
Let b(w) be the second derivative of -w**6/15 + 2*w**5/5 - 5*w**4/6 + 2*w**3/3 + 1268*w. Suppose b(i) = 0. Calculate i.
0, 1, 2
Suppose 3/4*p**5 + 63*p**3 - 255/4*p + 261/2 + 66*p**4 - 393/2*p**2 = 0. What is p?
-87, -2, -1, 1
Factor 3/7*j**5 - 6/7*j**4 - 3*j**3 + 0 - 12/7*j**2 + 0*j.
3*j**2*(j - 4)*(j + 1)**2/7
Let v = 11 - 7. Let k(i) = -10*i**2. Let o(z) = -13*z**2. Let p(j) = 5*k(j) - 4*o(j). Let c(x) = 1. Let a(d) = v*c(d) - 2*p(d). Let a(y) = 0. Calculate y.
-1, 1
Let l(f) be the second derivative of -f**5/150 + f**4/6 + 11*f**3/15 + 17*f**2/15 + 4*f + 14. Solve l(x) = 0 for x.
-1, 17
Let p(v) be the second derivative of v**4/96 + 27*v**3/4 + 323*v**2/16 + 986*v. Suppose p(a) = 0. What is a?
-323, -1
Let o be (-5)/(-140)*-7 + 4/(-320)*-116. Solve -48/5*d**3 + 96/5 + o*d**5 - 48/5*d**2 + 96/5*d + 6/5*d**4 = 0 for d.
-2, -1, 2
Let k(j) be the third derivative of j**7/945 - j**6/540 - 2*j**5/45 - 2*j**2 - 7*j + 23. Factor k(d).
2*d**2*(d - 4)*(d + 3)/9
Let v = -15733/152 + 1988/19. Suppose -r + 8 = -2*o, -5*r - 2*o = -7*o - 25. Determine u, given that v + 3/2*u + 3/8*u**r = 0.
-3, -1
Determine k so that 364/5*k - 34 + 2/5*k**4 + 4*k**3 - 216/5*k**2 = 0.
-17, 1, 5
Let v(l) = -l**5 + l**3 - 22*l**2 - 1. Let h(q) = 5*q**5 - 20*q**4 + q**3 + 194*q**2 - 6*q - 105. Let a(r) = -2*h(r) - 6*v(r). Determine t, given that a(t) = 0.
-2, -1, 1, 3, 9
Let n be (-2)/(-2) - (1407/9380 + 6/(-15)). Factor 0 + k**2 + k - 13/4*k**3 + n*k**4.
k*(k - 2)*(k - 1)*(5*k + 2)/4
Let n(c) = 72*c + 283. Let a be n(-6). Let u = -145 - a. Factor 0 + 0*p + 0*p**2 - 4/7*p**u + 4/7*p**3.
-4*p**3*(p - 1)/7
Let p be (-1)/3*1 - 76/(-3). Let z = p + -21. Factor -u + 2*u + z + u - 2*u**2 + 0*u.
-2*(u - 2)*(u + 1)
Let l(o) be the second derivative of o**6/120 - 3*o**5/20 - 5*o**4/12 - 50*o**2 - 2*o + 38. Let x(y) be the first derivative of l(y). Find q such that x(q) = 0.
-1, 0, 10
Suppose 2*r + 5*u = 10, 5*r + 1322*u = 1323*u - 2. Let -3/4*b**4 + 0 + 3/4*b**2 + 0*b + r*b**3 = 0. What is b?
-1, 0, 1
Let v(s) be the second derivative of 1/28*s**7 + 0*s**2 + 0*s**6 + 4*s - 2*s**3 + 1 - 33/40*s**5 - 9/4*s**4. Solve v(q) = 0.
-2, -1, 0, 4
Suppose 3 - 94*n**2 - 9*n + 36 + 5 + 43*n**2 + 46*n**2 = 0. Calculate n.
-4, 11/5
Let k(g) = 5*g**5 + 7*g**4 + 11*g**3 - 8*g**2 - 24*g - 7. Let u(z) = 2*z**5 + 3*z**4 + 6*z**3 - 4*z**2 - 12*z - 3. Let m(d) = 6*k(d) - 14*u(d). Solve m(l) = 0.
-3, -1, 0, 2
What is h in -140013 - 24044 - 1521*h - 4*h**2 - 129707 - 647*h = 0?
-271
Let j(d) be the second derivative of -d**5/570 + 4*d**4/57 - 64*d**3/57 - 19*d**2/2 + 75*d. Let k(a) be the first derivative of j(a). Let k(t) = 0. Calculate t.
8
Let r(v) be the first derivative of -20/27*v**3 + 0*v**4 + 8/45*v**5 + 4/3*v + 1/9*v**2 + 53 - 1/27*v**6. Let r(b) = 0. Calculate b.
-1, 1, 2, 3
Let y(c) be the second derivative of -c**4/42 + 296*c**3/21 - 84*c**2 + c + 1051. Determine p, given that y(p) = 0.
2, 294
Let v(b) = -186*b**2 - 15*b - 33. Let n be v(-3). Let r = 1664 + n. Let 12/7*x**5 + 0 + 45/7*x**3 + 3*x**r + 3/7*x + 39/7*x**4 = 0. What is x?
-1, -1/4, 0
Let r(v) be the third derivative of 53/15*v**5 + 44/105*v**8 + 16/75*v**7 - 89/30*v**6 - 28/15*v**4 + 34 + v**2 + 8/15*v**3 + 0*v. Suppose r(x) = 0. What is x?
-2, 2/11, 1/4, 1
Suppose 15*n = 2*n + n. Let a be 3/1 - (-16)/8. Let -4/9*i**4 + n + 0*i**3 + 0*i - 2/9*i**a + 0*i**2 = 0. What is i?
-2, 0
Find w, given that 52 + 308/3*w + 34/3*w**3 - 1/3*w**4 + 187/3*w**2 = 0.
-2, -1, 39
Let f(a) be the third derivative of -60*a**2 + 1/12*a**5 + 0*a - 25/3*a**3 + 0 - 15/8*a**4. Find b such that f(b) = 0.
-1, 10
Let n(g) = -12438*g - 124372. Let w be n(-10). Determine m, given that 1/3*m**5 + 28/3*m - 2*m**2 - 11/3*m**3 + 0*m**4 + w = 0.
-2, -1, 2, 3
Let o(i) be the first derivative of i**6/16 + 93*i**5/40 - 9*i**4/32 - 91*i**3/8 + 93*i**2/8 + 4091. Solve o(z) = 0 for z.
-31, -2, 0, 1
Let x = -1765 - -1773. Suppose x + 34 = 21*j. Factor 0*c + 0 - 2/3*c**j.
-2*c**2/3
Let a(d) be the third derivative of 0*d + 3/10*d**6 + 0 + 2/105*d**7 - 25/6*d**4 - 1/5*d**5 + 139*d**2 + 12*d**3. Factor a(v).
4*(v - 1)**2*(v + 2)*(v + 9)
Let y = 107786/407 - 9792/37. Factor 0*s**2 - y*s + 0 + 2/11*s**3.
2*s*(s - 1)*(s + 1)/11
Let j(p) = 21*p**2 - 84*p + 90. Suppose 12*z = 10*z - 4. Let s(y) = -5*y**2 + 21*y - 22. Let o(l) = z*j(l) - 9*s(l). Let o(a) = 0. Calculate a.
1, 6
Suppose -56/15*v**3 + 2/15*v**4 + 896*v + 7680 - 568/15*v**2 = 0. What is v?
-10, 24
Let g = -4637 - -4641. Let v(h) be the second derivative of -9/4*h**g + 1/10*h**6 - 3/20*h**5 + 0 - 11/2*h**3 - 14*h - 6*h**2. Find t, given that v(t) = 0.
-1, 4
Find i, given that -138*i**2 - 672 + 1520/3*i - 2/3*i**4 + 16*i**3 = 0.
4, 7, 9
Suppose -735*b - 831*b - 22 = -6286. Determine r, given that -1/4*r**b + 9/4*r**3 - 9/4*r + 1/4*r**2 + 0 = 0.
-1, 0, 1, 9
Suppose -227*v + 174*v + 106 = 0. Factor -5/3*j - v + 1/3*j**2.
(j - 6)*(j + 1)/3
Let v(l) be the first derivative of 2/45*l**5 - 2/3*l**2 + 0*l - 183 + 0*l**4 - 14/27*l**3. Factor v(d).
2*d*(d - 3)*(d + 1)*(d + 2)/9
Suppose 225 - 211 = -2*b. Let h be (-48)/40*(b + 2)/10. Find c such that -2/5*c + h*c**2 - 1/5 = 0.
-1/3, 1
Let d(q) = -2*q + 317. Let c be d(0). Let -11110*y**2 - 1870*y**3 - c*y**3 - y**5 - 8573*y**2 - 81*y**4 = 0. What is y?
-27, 0
Let j(m) = 3*m**2 + 440*m - 507. Let s(g) = 4*g**2 + 435*g - 511. Let f(k) = -9*j(k) + 8*s(k). Factor f(r).
5*(r - 95)*(r - 1)
Let h(m) = 4*m**4 - 4*m**3 - 233*m**2 - 567*m. Let q(r) = -2*r**4 + 2*r**3 + 117*r**2 + 283*r. Let v(n) = 5*h(n) + 9*q(n). Factor v(g).
2*g*(g - 9)*(g + 4)**2
Let w = -31293 + 156477/5. Let z = 104/35 + -18/7. Determine m so that -8/5*m**4 + 0 - 2/5*m**5 - z*m - w*m**3 - 8/5*m**2 = 0.
-1, 0
Factor 1/6*v**3 + 4*v + 7/3*v**2 + 0.
v*(v + 2)*(v + 12)/6
Suppose 3/4*i**2 - 3/4*i + 0 = 0. Calculate i.
0, 1
Let v(g) be the third derivative of -2/105*g**5 + 0*g**3 + 0 + 0*g + 27*g**2 + 1/42*g**4 + 4/735*g**7 - 1/210*g**6. Determine k so that v(k) = 0.
-1, 0, 1/2, 1
Suppose -2*r + 50*p = 45*p + 1, -4*r + 4*p + 4 = 0. Let j = 986 + -858. Factor j*w + 2/3*w**3 + 16*w**r + 1024/3.
2*(w + 8)**3/3
Let d = 20341/3 - 6780. Let w(r) be the first derivative of 1/8*r**4 + d*r**3 - 10 + 0*r + 1/4*r**2. Factor w(j).
j*(j + 1)**2/2
Let v(u) be the first derivative of -u**6/420 + u**5/70 + 13*u**4/84 - 5*u**3/7 - 72*u**2 - 3. Let k(f) be the second derivative of v(f). Factor k(n).
-2*(n - 5)*(n - 1)*(n + 3)/7
Factor -t**2 + 68 + 58*t - 18 - 53*t.
-(t - 10)*(t + 5)
Determine y so that -14682*y**2 - 18*y**4 - 193*y**3 + 153216*y + 19*y**4 - 4*y**4 + 577*y**3 - 477603 = 0.
7, 57
Suppose -120/7*j + 675/7 - 3/7*j**2 = 0. What is j?
-45, 5
Factor 0 + 474*v**2 + 4/3*v**3 + 710/3*v.
2*v*(v + 355)*(2*v + 1)/3
Let d be (4/(-8))/(2/(-8)). Find p such that 5*p**4 + 11*p**3 + 21*p - 35*p**d - 2*p - p**3 + p = 0.
-4, 0, 1
Suppose 5*v**4 - 38*v**2 + 261*v - 31*v - 12*v**3 - 57*v**2 - 8*v**3 + 59 - 179 = 0. What is v?
-4, 1, 6
Let y be (0 + 15/6)*(278/240 + 357/8568). Factor -82/5*a - 44/5*a**2 - 8 - 2/5*a**y.
-2*(a + 1)**2*(a + 20)/5
Let s(f) be the first derivative of -49 + 0*f - 1/3*f**3 - f**2. Let s(j) = 0. Calculate j.
-2, 0
Let h(d) be the first derivative of 2*d**6/27 + 26*d**5/45 - 28*d**4/9 - 206*d**3/27 - 4*d**2 - 2193. Determine r, given that h(r) = 0.
-9, -1, -1/2, 0, 4
Suppose -243*f + 223*f = -83 - 17. Let -56/5*h**4 - 134/5*h**2 + 129/5*h**3 + 12*h - 8/5 + 9/5*h**f = 0. What is h?
2/9, 1, 2
Let x(f) be the first derivative of f**3/5 + 141*f**2/10 + 1026*f/5 + 5870. Factor x(i).
3*(i + 9)*(i + 38)/5
Let d(c) be the second derivative of 2*c**6/15 + 48*c**5/5 + 622*c**4/3 + 736*c**3 + 1058*c**2 - c + 2472. Factor d(b).
4*(b + 1)**2*(b + 23)**2
Let 2*w**4 + 39*w + 10178076*w**2 - 3*w**4 - 10178047*w**2 - 11*w**3 = 0. What is w?
-13, -1, 0, 3
Let x(v) be the second derivative of -v**6/540 + v**5/30 + 5*v**4/54 - 13*v**2 - 100*v - 1. Let l(b) be the first derivative of x(b). Let l(y) = 0. What is y?
-1, 0, 10
Let j(m) be the first derivative of -10 + 0*m**2 + 0*m**4 - 1/2*m**