 + 0*u**2.
-2*u*(u - 1)*(u + 1)/7
Let k(g) be the third derivative of -5*g**7/42 - 17*g**6/8 - 39*g**5/10 + 79*g**4/6 - 12*g**3 + 95*g**2. Factor k(z).
-(z + 2)*(z + 9)*(5*z - 2)**2
Suppose 3*l + 0*p - 4*p - 134 = 0, -2*p + 122 = 3*l. Factor 76*c - 432 - 219*c**2 - 580*c + 41*c**4 - 44*c**4 - l*c**3.
-3*(c + 3)**2*(c + 4)**2
Let h = -14471 + 14471. Let u(r) be the second derivative of -1/2*r**3 + 1/12*r**4 - 29*r + r**2 + h. Solve u(k) = 0.
1, 2
Let b(y) = -9*y**4 + 3*y**3 - 3*y**2 + 10. Let t(i) = 2*i**4 - i**3 - 2. Let r(g) = -b(g) - 5*t(g). Determine z, given that r(z) = 0.
-1, 0, 3
Suppose -i - 74 + 76 = 0. Let n be 6 - (i/(-5 - -3) - -4). Suppose -15*b**2 + 4*b**2 + 9*b - b**2 + n*b**3 = 0. Calculate b.
0, 1, 3
Suppose -30 - 1/2*i**4 - 8*i**3 - 58*i - 71/2*i**2 = 0. What is i?
-10, -3, -2, -1
Let f(l) = -l**3 + 2*l**2 + 734*l - 166. Let z be f(28). Let -1/2*t + 3/2 + 1/2*t**3 - 3/2*t**z = 0. What is t?
-1, 1, 3
Let a be (10 - 1296/128)*0. Let b(n) be the third derivative of a + 4*n**2 + 0*n + 98/3*n**3 - 7/3*n**4 + 1/15*n**5. Determine o, given that b(o) = 0.
7
Let q(l) = 11*l**2 + 41*l - 126. Let u(r) = 12*r**2 + 40*r - 128. Let d(n) = 13*q(n) - 12*u(n). Determine a, given that d(a) = 0.
2, 51
Let u(w) = -45*w**3 + 15*w**2 + 105*w + 25. Let d(h) = 2*h**3 + h**2 - h + 1. Let y = -416 + 396. Let j(c) = y*d(c) - u(c). Factor j(z).
5*(z - 9)*(z + 1)**2
Let q(k) be the second derivative of k**4/90 + 187*k**3/45 + 614*k - 1. Solve q(j) = 0 for j.
-187, 0
Let y(f) = -6*f**3 + 246*f**2 - 1043*f. Let w(v) = -10*v**3 + 368*v**2 - 1560*v. Let t(o) = 5*w(o) - 8*y(o). Solve t(r) = 0 for r.
-68, 0, 4
Let a(f) be the second derivative of -f**3/2 - 94*f. Let k be a(0). What is z in 0*z + 0 - 8/3*z**3 + k*z**2 - 32/3*z**4 - 14/3*z**5 = 0?
-2, -2/7, 0
Suppose -2*l - 9 = -21. Suppose -6*d + 2*d = 3*j - 1, -2*d - j = -3. Suppose 12*x**3 + x**4 - 4*x - l*x**5 - 2*x + 6*x**2 - 4*x**d - 3 = 0. What is x?
-1, -1/2, 1
Let m(b) be the first derivative of -5*b**3/9 - 130*b**2/3 - 500*b/3 - 701. Suppose m(p) = 0. What is p?
-50, -2
Let l(a) be the second derivative of -4/5*a**5 - 28 - 2/3*a**6 + 32*a**2 - 2*a - 2/21*a**7 + 64/3*a**3 + 16/3*a**4. Factor l(r).
-4*(r - 2)*(r + 1)*(r + 2)**3
Let 80 + k**5 + 0*k**3 + 4*k - 23*k**3 + 81*k**4 + 80*k**4 - 232*k**4 - 64*k**2 + 73*k**4 = 0. Calculate k.
-4, -2, 1, 5
Let f be ((-2)/(-19))/((-306)/(-969)). Determine v so that 0 - f*v**2 - 4/3*v = 0.
-4, 0
Suppose -48*y**2 + 48*y**3 + 18 - 22*y**3 + 177*y - 150 - 23*y**3 = 0. What is y?
1, 4, 11
Let c(l) be the second derivative of -l**5/4 + 10*l**4/3 + 55*l**3/6 - 45*l**2 - 911*l. Factor c(f).
-5*(f - 9)*(f - 1)*(f + 2)
Let r = -7919/6 - -104147/78. Solve -40/13*n + r + 2/13*n**2 = 0.
10
Let u be (-3 + 7)*33/44. Suppose 5*k + 4*a - 17 + 11 = 0, 3*a = -3*k + u. Let -2/3*t**k - 96 - 16*t = 0. Calculate t.
-12
Let d(s) be the second derivative of s**7/14 - 243*s**5/20 + 27*s**4 + 486*s**3 + 71*s + 1. Solve d(c) = 0 for c.
-9, -3, 0, 6
Suppose -4*w + 8016 = -4*f + 26972, -w = -4*f + 18944. Suppose 4759*n**2 + n**3 - f*n**2 + 3*n**3 - 128 = 0. What is n?
-4, 2
Let d(h) be the first derivative of -4*h**5/15 - 7520*h**4/3 - 28275200*h**3/3 - 53157376000*h**2/3 - 49967933440000*h/3 + 9817. Solve d(c) = 0.
-1880
Let q be (-3 - -2) + (-1 - -3) - 1. Suppose z - 5*n + 11 = q, 0*n + n - 7 = -z. Factor -443*f**4 + 447*f**z - 3*f**3 - f**3.
4*f**3*(f - 1)
Let h(p) be the first derivative of -p**6/45 + 124*p**5/75 - 179*p**4/30 + 236*p**3/45 - 8140. Suppose h(y) = 0. What is y?
0, 1, 2, 59
Factor 0 + 1/2*o**2 - 40*o.
o*(o - 80)/2
Let g be (-12)/8*1728/(-594). What is b in 4/11 - 30/11*b - 2*b**3 + g*b**2 = 0?
2/11, 1
Suppose 4*m + 26 = -2*y, 1 = 2*m + 9. Let c(p) = p**4 - 2*p**3 + 1. Let s(u) = -u**4 - 27*u**3 - 9*u**2 + 2*u + 5. Let z(j) = y*c(j) + s(j). Factor z(v).
-v*(v + 1)*(v + 2)*(6*v - 1)
Let o(d) be the first derivative of -3/13*d**4 + 23 + 1/130*d**5 + 13*d + 36/13*d**3 - 216/13*d**2. Let j(r) be the first derivative of o(r). Solve j(k) = 0.
6
Let y(n) be the first derivative of 4/9*n**2 - 61 + 2/3*n + 2/27*n**3. Find i such that y(i) = 0.
-3, -1
Let s = -613 - -674. Let h = s + -417/7. Factor 2/7*g**2 + 8/7 - h*g.
2*(g - 4)*(g - 1)/7
Determine v, given that -4/7*v**5 - 34/7*v**2 + 66/7*v**4 + 0*v + 36/7*v**3 + 0 = 0.
-1, 0, 1/2, 17
Let p(j) = 14*j**4 + 170*j**3 + 10*j**2 - 746*j + 6. Let k(s) = 17*s**4 + 167*s**3 + 9*s**2 - 745*s + 7. Let w(u) = -6*k(u) + 7*p(u). Factor w(t).
-4*t*(t - 47)*(t - 2)*(t + 2)
Factor 54992*r**3 - 16*r - 1692*r**2 + 2256 - 110168*r**3 + 54624*r**3 + 4*r**4.
4*(r - 141)*(r - 1)*(r + 2)**2
Let a(y) be the third derivative of -7/4*y**4 + 31/80*y**6 + 13/20*y**5 - 84*y**2 + 0 + 1/14*y**7 + 0*y - 10*y**3 + 1/224*y**8. Factor a(r).
3*(r - 1)*(r + 2)**3*(r + 5)/2
Let t(b) be the third derivative of -13*b**6/120 + 41*b**5/90 - b**4/9 - 2277*b**2. Factor t(r).
-r*(r - 2)*(39*r - 4)/3
Suppose -10*f + 20*f - 90 = 0. Let n be f*(-34)/(-1071) + 1 + -1. What is q in -n*q**2 - 2/7 - 4/7*q = 0?
-1
Let k(u) be the first derivative of u**5/15 - 2*u**4/9 - 2*u**3 + 12*u**2 - 57*u + 63. Let q(s) be the first derivative of k(s). Factor q(y).
4*(y - 3)*(y - 2)*(y + 3)/3
Let w(g) be the first derivative of -g**4/16 + 4*g**3 - 165*g**2/2 + 484*g + 1689. Factor w(h).
-(h - 22)**2*(h - 4)/4
Suppose -46*y + 51 = -48*y + 5*d, -5*d = -y - 53. Suppose 0 + 1/6*p - 1/2*p**y - 1/6*p**4 + 1/2*p**3 = 0. What is p?
0, 1
Let b(f) be the third derivative of -f**5/20 - 3*f**4/8 + f**3/3 - 183*f**2. Let i(d) = 2*d**2 + 6*d - 1. Let t(n) = 5*b(n) + 8*i(n). Solve t(j) = 0 for j.
-2, -1
Suppose -q = -s + 3, -q + 19 = 4*s + 2*q. Suppose s*u = 3*y + 3 - 6, -3*y = u - 18. Factor -84 + 29 + 4*t**2 + 37 + u*t - t**2.
3*(t - 2)*(t + 3)
Let h(j) be the first derivative of -j**5/150 + 7*j**4/12 + 12*j**3/5 + 9*j**2/2 - 27. Let v(q) be the second derivative of h(q). Suppose v(y) = 0. Calculate y.
-1, 36
Let x = 2052 - 1937. Suppose u = -112 + x. Find z such that -8/5 + 13/10*z**u - 6/5*z + 24/5*z**2 - 21/5*z**4 + 9/10*z**5 = 0.
-2/3, 1, 4
Let w(y) = -2*y + 51. Let b be w(21). Suppose -4*h = h. Factor 2*q**4 + 2*q**5 - 5*q + h*q**3 + b*q - 6*q**3 - 2*q**2 + 0*q**5.
2*q*(q - 1)**2*(q + 1)*(q + 2)
Let c(k) be the third derivative of -k**7/42 + k**6/4 + k**5/12 - 5*k**4/4 - 2*k**2 - 1275. Solve c(q) = 0.
-1, 0, 1, 6
Let f be 48/360 - (-22)/180*3. Let m = 162 - 323/2. Determine g, given that -g - f - m*g**2 = 0.
-1
Let y be 50/125 + (-103)/220. Let s = 155/308 - y. Factor -4/7*i**2 + s + 0*i.
-4*(i - 1)*(i + 1)/7
Suppose 15 - 79 = -4*f. Suppose 2*n = f - 6. Suppose p**n + 8*p**4 - 6*p**5 - 3*p**4 = 0. Calculate p.
0, 1
Let r(q) be the first derivative of q**6/72 + 3*q**5/8 + 5*q**4/3 - 10*q**3/3 + 40. Let v(o) be the third derivative of r(o). Factor v(s).
5*(s + 1)*(s + 8)
Let m(r) be the first derivative of 1/24*r**6 + 5/2*r**2 - 5/6*r**4 + 0*r - 1/30*r**5 + 10 + 4/3*r**3. Let y(n) be the second derivative of m(n). Factor y(b).
(b - 2)*(b + 2)*(5*b - 2)
Suppose -2*v + 0 - 6 = 0, -v = -5*y + 53. Suppose 0 = z - y*z + 36. Factor 25*m**4 + 0*m + m**5 + 4*m + 22*m**2 + 9*m**z + 42*m**3 + 9*m**5.
2*m*(m + 1)**3*(5*m + 2)
Let 244*h**4 + 31*h**3 + 338*h - 127*h**4 + 17*h**3 - 308*h**2 - 113*h**4 + 190*h - 272 = 0. Calculate h.
-17, 1, 2
Suppose -n + t + 556 = n, 3*n - 4*t - 829 = 0. Let g = 281 - n. What is m in 0*m - 3/5*m**3 + 3/5*m**g - 3/5*m**4 + 0 + 3/5*m**5 = 0?
-1, 0, 1
Factor -124/7*k**4 + 0 - 1200*k**2 + 1880/7*k**3 + 2/7*k**5 + 0*k.
2*k**2*(k - 42)*(k - 10)**2/7
Let m(o) be the first derivative of -o**7/42 + o**6/4 - o**5 + 5*o**4/3 + 6*o**2 - 4*o - 178. Let f(j) be the second derivative of m(j). What is t in f(t) = 0?
0, 2
Suppose -10*j + 91 = -77 + 138. Let v(d) be the first derivative of -5*d + 1/3*d**j - 2*d**2 - 1. Let v(a) = 0. What is a?
-1, 5
Let u be 10 - ((-327)/(-35) + 12/(-228) + (-96)/1064). Determine p so that -3/5*p**2 + 12/5 + 1/5*p**3 - u*p = 0.
-2, 2, 3
Let b(i) = i**3 + 4*i**2 - 3*i - 7. Let v(d) = 2*d - 22. Let f be v(9). Let o be b(f). Let -o*j + 0*j**2 + 11*j - j**2 - 2 - 5*j**2 + 2*j**3 = 0. Calculate j.
1
Let k(w) be the first derivative of -w**3/9 - 22*w**2 - 131*w/3 + 1087. Factor k(x).
-(x + 1)*(x + 131)/3
Let t(b) be the third derivative of 21/4*b**4 - b**2 + 1/20*b**5 - 12