2 - 3*m**t - 3*m**2 + 8 - 5*m**2.
-4*(m - 1)*(m + 1)*(m + 2)
Factor -279 - 3/2*o**2 - 561/2*o.
-3*(o + 1)*(o + 186)/2
Let s(d) be the first derivative of 0*d + 1/14*d**4 + 0*d**2 + 29 + 1/21*d**6 + 4/35*d**5 + 0*d**3. Determine a so that s(a) = 0.
-1, 0
Let o = -86299/728 - -11049/91. Determine i so that o*i**2 - 1/8*i**3 + 0 + 3*i = 0.
-1, 0, 24
Let j = -1280080 + 1280082. Solve -32/7 + 12/7*l + 2/7*l**j = 0 for l.
-8, 2
Let j be 1 - -12 - (-16 + 12). Suppose -j = -b - 12. Determine i, given that 4*i**b + 273*i**2 - 8*i**3 + 277*i**2 + 36*i - 16*i**4 - 502*i**2 = 0.
-1, 0, 3
Let b be (-15)/((-600)/(-32))*10*6/(-24). What is y in -1/2 + y - 1/2*y**b = 0?
1
Let a(i) be the first derivative of -i**6/360 - 19*i**5/180 - i**2/2 + 37*i - 21. Let x(z) be the second derivative of a(z). Solve x(s) = 0.
-19, 0
Let n = 4678 - 37351/8. Let i = -53/8 + n. Find u such that 2*u**2 + 1 - i*u - 1/2*u**3 = 0.
1, 2
Let c be 152 - 155 - 163/(-54). Let d(p) be the second derivative of -c*p**4 - 4/9*p**2 - 5/27*p**3 + 0 + 13*p. Factor d(r).
-2*(r + 1)*(r + 4)/9
Suppose -66*j = -71*j + 150. Solve -200*n - 28 + 40*n**3 - 84 - j*n**2 - 32 - 5*n**4 + 19 = 0 for n.
-1, 5
Suppose 5*o + o - 30 = 0. Suppose 2*b + a - 1 = 3, o*b = 5*a + 40. Determine k, given that -b*k**4 - 2*k**2 - 2*k**2 + 6*k**2 - 3 - 4*k**3 + 4*k + 5*k**4 = 0.
-1, 1, 3
Let a be (-154675)/310500 - (6/(-4) + 1). Let l(q) be the third derivative of 1/54*q**4 + 0*q - 6*q**2 + a*q**5 + 2/27*q**3 + 0. Factor l(z).
(z + 2)**2/9
Let f be -1 + (582/72 - 6). Let a = f + -145/156. Find k, given that 392/13 - 56/13*k + a*k**2 = 0.
14
Find u such that 29*u**3 - 89*u + 24*u**4 - 178/3*u**2 - 30 - 16/3*u**5 = 0.
-1, -3/4, 2, 5
Let w(t) be the first derivative of -13 - 8/3*t**4 + 8/3*t**3 + 0*t**2 + t**5 - 2/15*t**6 + 6*t. Let i(f) be the first derivative of w(f). Factor i(n).
-4*n*(n - 2)**2*(n - 1)
Suppose 192 + 1/3*i**5 + 2*i**4 + 16*i - 116/3*i**2 - 5*i**3 = 0. Calculate i.
-4, 3
Factor -733*f - 5*f**2 - 66*f**2 + 38*f**2 - 332*f**2 - 367 + f**3.
(f - 367)*(f + 1)**2
Let j be -32 + (16/(-4) - -5). Let o = 26 + j. Let n(i) = 25*i - 50. Let t(s) = -s**2 - 24*s + 51. Let v(g) = o*t(g) - 6*n(g). Let v(u) = 0. Calculate u.
3
Suppose -210*s + 209*s + 4 = 0. Determine c so that -1021*c**s - 27*c**3 + 1024*c**4 - 72 + 66*c**2 - 24 = 0.
-1, 2, 4
Let k(q) be the first derivative of q**7/14 + 3*q**6/10 + 9*q**5/20 + q**4/4 + 54*q - 65. Let y(o) be the first derivative of k(o). Factor y(g).
3*g**2*(g + 1)**3
Let o be (-13 - (6 - 1794/91))/((-12)/(-28) + 0). Let c = 112/171 - -2/171. Determine t so that c + t**2 - 1/3*t**4 - 1/3*t**3 + o*t = 0.
-1, 2
Let l = -41 - -45. Suppose -l*z - 4*j + 24 = 0, -5*z - j = -4 - 14. Suppose 58*g**z - 32*g**3 - 29*g**3 + g**5 + 2*g**2 = 0. What is g?
-2, 0, 1
Let h(w) be the first derivative of -w**4/4 + 83*w**3/3 - 81*w**2 + 6433. Factor h(x).
-x*(x - 81)*(x - 2)
Let w(z) be the third derivative of -7*z**7/6 + 217*z**6/3 - 3718*z**5/3 - 1860*z**4 - 1080*z**3 + 2399*z**2. Factor w(v).
-5*(v - 18)**2*(7*v + 2)**2
Suppose 6*w - 2*w = 4*h + 28, 0 = 3*w + 5*h + 19. Determine l, given that -3010*l**3 + 54*l**w - 5*l + 47*l + 22*l - 12*l + 3012*l**3 = 0.
-26, -1, 0
Let f(i) be the third derivative of 0*i + 20*i**2 - 8/3*i**3 - 1/60*i**5 - 5/12*i**4 + 0. Let f(y) = 0. Calculate y.
-8, -2
Let c(k) be the first derivative of k**3 + 2232*k**2 + 1660608*k - 3277. Factor c(t).
3*(t + 744)**2
Let s(f) be the second derivative of -f**6/360 - f**5/45 - 8*f**2 + 33*f. Let b(w) be the first derivative of s(w). Factor b(a).
-a**2*(a + 4)/3
Let t = -1650158 + 1037948844/629. Let j = t - -36/37. What is c in -4/17 - 4/17*c**4 - 4/17*c**3 + j*c + 2/17*c**5 + 8/17*c**2 = 0?
-1, 1, 2
Suppose 585*s + 30 = 591*s. Suppose 5*j**4 - 32*j + 10*j**3 - 10*j**4 + 102*j + 60*j**2 - s + 30 = 0. What is j?
-1, 5
Let l = 3789 - 3787. Let x(k) be the third derivative of k**4 + 2*k**l + 1/4*k**5 + 1/40*k**6 + 0 + 0*k + 2*k**3. Suppose x(j) = 0. Calculate j.
-2, -1
Let b be (3 - -55)*(0 + (-3)/(-2)). Let x = -72 + b. Factor -4*w - w + 5*w**2 + x - 21*w + 6*w.
5*(w - 3)*(w - 1)
Solve -338*v**3 + 53*v**3 - 75*v**3 - 5*v**4 + 1500*v**2 - 1520*v = 0.
-76, 0, 2
Let g = 181 + -181. Solve g*j**3 + 864*j**2 - 849*j**2 + 3*j**3 = 0.
-5, 0
What is h in 8 - 2/9*h**3 + 68/9*h**2 + 142/9*h = 0?
-1, 36
Let f(i) be the third derivative of -i**6/150 - 194*i**5/75 + 13*i**4/2 + 43*i**2. Factor f(y).
-4*y*(y - 1)*(y + 195)/5
Let y(i) be the third derivative of i**5/180 - 31*i**4/18 + 41*i**3/6 - 221*i**2 + 16. Suppose y(f) = 0. Calculate f.
1, 123
Let o(l) be the first derivative of l**6/18 + 4*l**5/15 - l**4/4 - 10*l**3/9 + 4*l**2/3 + 1188. Factor o(r).
r*(r - 1)**2*(r + 2)*(r + 4)/3
Suppose -25*n + 37*n = -44*n. Let t(w) be the third derivative of 0 + w**2 + n*w - 1/9*w**3 - 1/120*w**5 + 1/12*w**4 - 1/144*w**6. Factor t(m).
-(m - 1)*(m + 2)*(5*m - 2)/6
Let z(g) be the second derivative of g**6/6 + 5017*g**5/4 + 3496570*g**4 + 11706508000*g**3/3 + 11685541120*g**2 + 385*g. Find d, given that z(d) = 0.
-1672, -1
Let p = 313411 + -313407. Factor -2/3*r**3 + 16/9 + 14/9*r**2 + p*r.
-2*(r - 4)*(r + 1)*(3*r + 2)/9
Let t = 1623 - 48689/30. Let n(j) be the second derivative of 4/15*j**3 - 25*j + t*j**4 + 0*j**2 + 0. Let n(d) = 0. Calculate d.
-4, 0
Determine p so that 65 - 47 - 117*p + 3480*p**2 - 3364*p**3 - 17 = 0.
1/58, 1
Suppose -63*w - 2641 = -2641. Find d, given that w - 2/9*d**4 + 0*d + 0*d**3 + 2/9*d**2 = 0.
-1, 0, 1
Let t be (-7)/1 + 55 + -44. Let k(l) be the second derivative of -1/15*l**t + 0 - 4/15*l**3 - 2/5*l**2 - 26*l. Find g such that k(g) = 0.
-1
Let g(n) be the second derivative of -n**4/18 + 49*n**3/9 - 16*n**2 - 4*n. Factor g(i).
-2*(i - 48)*(i - 1)/3
Let d = 29 + -29. Let b(v) be the first derivative of -5*v**2 + d*v + 5*v - v**2 + 4 + 3*v + v**4. Determine w, given that b(w) = 0.
-2, 1
Let m = -193268/3 + 64426. Factor m*z + 2/9*z**2 + 28/9.
2*(z + 1)*(z + 14)/9
What is d in 2/5*d**2 + 428/5*d + 22898/5 = 0?
-107
Suppose 204*x - 356 = 51*x - 25*x. Let l be (-1)/4 + (-98)/(-72). Factor 2/3*u - 2 + 2/9*u**3 + l*u**x.
2*(u - 1)*(u + 3)**2/9
Let q(v) be the first derivative of 15 + 0*v**2 + 5/6*v**3 + 3/4*v**5 - 5/4*v**4 - 11*v - 1/6*v**6. Let i(w) be the first derivative of q(w). Solve i(f) = 0.
0, 1
Let h(a) be the first derivative of -a**6/120 - a**5/4 - 9*a**4/8 - 19*a**3/3 + a + 23. Let x(c) be the third derivative of h(c). Factor x(i).
-3*(i + 1)*(i + 9)
Let z(v) be the first derivative of -v**5/600 - 23*v**4/120 + 118*v**2 - 256. Let p(t) be the second derivative of z(t). Let p(y) = 0. Calculate y.
-46, 0
Let l(d) be the first derivative of -5*d**3/3 + 120*d**2 - 880*d + 1371. Suppose l(o) = 0. What is o?
4, 44
Let w(j) be the first derivative of -2*j**3/11 - 1875*j**2/11 + 12704. Factor w(x).
-6*x*(x + 625)/11
Let w(l) be the first derivative of -l**5/25 - l**4/5 + 31*l**3/5 - 146*l**2/5 + 52*l + 1643. Factor w(u).
-(u - 5)*(u - 2)**2*(u + 13)/5
Let t(n) = 69*n**2 + 38370*n - 15462. Let h(q) = -20*q**2 - 10963*q + 4417. Let i(c) = -18*h(c) - 5*t(c). Factor i(k).
3*(k + 366)*(5*k - 2)
Suppose -20 + 28 = -k. Let d be (-1 + 2)*(-4)/(k/10). Suppose -4*w**d + 12*w - 9*w**3 - 2*w**3 + 16*w**2 + 3*w**3 - 16*w**4 = 0. What is w?
-3, -1, 0, 1
Let z(s) be the first derivative of -10125*s**4/8 - 8775*s**3 - 22815*s**2 - 26364*s + 895. Factor z(c).
-3*(15*c + 26)**3/2
Let m(f) = 2*f**2 - f + 2. Let y(a) = 4*a**2 + 7820*a - 3825928. Let d(h) = 4*m(h) - y(h). Factor d(i).
4*(i - 978)**2
Let k(h) be the first derivative of 224 + 15616/11*h**2 - 2113/22*h**4 - 1/11*h**6 + 8192/11*h + 6176/11*h**3 + 56/11*h**5. Find i, given that k(i) = 0.
-1, -1/3, 16
Let a = 24 - 20. Suppose 3*c - 28 = -a*o, -7*c + 2*c = 5*o - 35. Let o*g**2 - 5*g**2 - 2*g**4 + 7*g**3 - 3*g**3 - 4*g = 0. What is g?
-1, 0, 1, 2
Let q(s) be the second derivative of 5*s**5/4 - 295*s**4/12 - 385*s**3/6 - 65*s**2/2 + 4*s - 26. Factor q(b).
5*(b - 13)*(b + 1)*(5*b + 1)
Let u(i) = 3*i**3 - 5*i**2 - 6*i + 41. Let w be u(4). Suppose -2*n - 41*n = -w. Factor 0*d**2 + 3*d**3 - 3/2 - n*d + 3/2*d**4.
3*(d - 1)*(d + 1)**3/2
Let h(u) be the third derivative of 7/72*u**4 - 1/120*u**6 + 7/90*u**5 + 0*u - 5/9*u**3 + 301*u**2 + 0. Factor h(w).
-(w - 5)*(w + 1)*(3*w - 2)/3
Let q be ((-12)/(-1