 s*t**4 - 5/4*t**5 + 0 - 9/2*t**3 + 0*t - 5*t**2. Suppose y(z) = 0. What is z?
-3, -1/4
Let r(m) be the second derivative of -m**5/10 + 41*m**4/6 + 59*m**3 + 135*m**2 + 994*m. Find w such that r(w) = 0.
-3, -1, 45
Let h be 20/90 - 58/18. Let x be 345/20 + h + -3. Solve -x*w**2 + 3/2 - 3/4*w = 0.
-2/5, 1/3
Suppose -203 + 223 = 10*n. Suppose 139*i - 2*i**3 - 110 + 268*i - 195*i**n + 37*i**3 + 5*i**4 - 142*i = 0. Calculate i.
-11, 1, 2
Suppose f + z = 5 - 0, 4*z - 12 = -3*f. Suppose -2*l + f*l - 114 = 0. Factor -l*w - w**3 + 10*w + 10*w.
-w*(w - 1)*(w + 1)
Let a(m) be the third derivative of -m**6/420 + 16*m**5/21 - 79*m**4/21 - 356*m**2 - 2. Determine p so that a(p) = 0.
0, 2, 158
Factor 35*t + 11*t - 304*t**2 - 156*t + 12 + 85*t**2 - 75*t**3 - 22*t.
-3*(t + 1)*(t + 2)*(25*t - 2)
Let w(l) be the second derivative of l**5/50 + 1159*l**4/30 + 337552*l**3/15 + 1002252*l**2/5 + 163*l - 32. Factor w(t).
2*(t + 3)*(t + 578)**2/5
Factor 57624 - 15582*a + 300*a**2 - 3/2*a**3.
-3*(a - 98)**2*(a - 4)/2
Factor 12*t**4 + 6716*t**2 + 2 - 370716*t + 366484*t - 2 - 560*t**3.
4*t*(t - 23)**2*(3*t - 2)
Let g(c) be the second derivative of -c**6/90 + c**5/5 - 3*c**4/2 - 16*c**3/3 + 28*c - 1. Let x(b) be the second derivative of g(b). Factor x(n).
-4*(n - 3)**2
Suppose b - 78 = -77. Suppose -4*u = 5*p - 4, 0 = 3*p + 4*u - 5 + b. Factor -2/9*a**4 + 0*a**3 + 1/9*a**5 + 2/9*a**2 - 1/9*a + p.
a*(a - 1)**3*(a + 1)/9
Let a(t) be the first derivative of t**5 + 65*t**4/2 + 925*t**3/3 + 1000*t**2 + 506. Factor a(u).
5*u*(u + 5)**2*(u + 16)
Let v be (16/9 - 2)/((-6)/9) - 0. Let -v*t**2 + 4/3 + 0*t = 0. Calculate t.
-2, 2
Let m(z) = -5*z**3 + 17850*z**2 - 21241506*z + 8425795006. Let j(x) = -x + 1. Let i(g) = -6*j(g) + m(g). Factor i(h).
-5*(h - 1190)**3
Let d(b) be the third derivative of -b**7/420 + 17*b**6/240 + 13*b**5/40 - 17*b**4/48 - 19*b**3/6 + 2*b**2 - 784*b. Find v such that d(v) = 0.
-2, -1, 1, 19
Let p = -2706 - -11261. What is d in p - 8555 - 576*d + 96*d**2 - 4*d**3 = 0?
0, 12
Suppose 0 = 3*z - 6*z. Suppose -73*l + 82*l - 54 = z. Find s such that l + 0*s**4 - 9*s - 3/4*s**5 + 21/4*s**3 - 3/2*s**2 = 0.
-2, 1, 2
Let g(r) be the third derivative of r**7/945 - 11*r**6/540 - 11*r**5/54 - 73*r**4/108 - 10*r**3/9 - 965*r**2. Determine l, given that g(l) = 0.
-2, -1, 15
Let v(l) be the second derivative of l**5/5 - 859*l**4/3 + 3430*l**3/3 - 1714*l**2 + 11963*l. Factor v(y).
4*(y - 857)*(y - 1)**2
Suppose 5*u = -30, 7*w - 29*u - 182 = 3*w. Let l = -4 - -8. Find t, given that 0 - 4/9*t**l + 4/9*t**w + 0*t + 4/9*t**5 - 4/9*t**3 = 0.
-1, 0, 1
Let i = -373 - -381. Let b(g) = 26*g - 208. Let v be b(i). Suppose 0*z - 1/5*z**4 - 3/5*z**3 + v - 2/5*z**2 = 0. What is z?
-2, -1, 0
Let p be (4 + -1 - -6)*30/54. Factor 0*g - 1/2*g**5 + 0 - 16*g**3 + 16*g**2 + p*g**4.
-g**2*(g - 4)**2*(g - 2)/2
Let n be -1 - (-14)/18 - -4. Suppose -283*v = -441*v + 221*v - 126. Factor -2/3*r**v - 10/9*r**3 + n*r + 2/9*r**4 - 20/9.
2*(r - 5)*(r - 1)**2*(r + 2)/9
Let d be ((-174)/(-145))/((-4)/150). Let m be 2 + 66/(-21) - 180/d. Factor 2/7*o**2 + m*o + 50/7.
2*(o + 5)**2/7
Find k, given that -3002*k**4 + 38*k**3 + 6*k + 22*k**3 - 37*k**2 + 2993*k**4 = 0.
0, 1/3, 6
Suppose -1809*u + 1831*u = 44. Let g(z) be the third derivative of -z**u - 15*z + 1/2*z**4 + 0 - 3*z**3 - 1/30*z**5. Solve g(y) = 0.
3
Suppose 5*s = 4*t + 54, 5*s - 6*s - 3*t = -7. Factor -17*i**3 - 33*i**2 + 29*i**3 - 19 + 30*i + s.
3*(i - 1)**2*(4*i - 3)
Factor -2/5*w**2 + 152/5*w - 1206/5.
-2*(w - 67)*(w - 9)/5
Let u = 520 + -143. Let p be (-2*(-2)/4)/(u/116). Factor 0 - 2/13*h**5 + 14/13*h**2 + 10/13*h**4 - p*h - 18/13*h**3.
-2*h*(h - 2)*(h - 1)**3/13
Suppose 24*y - 25*y = -3. Factor 288*q + 61*q**3 + 70*q**2 - 56*q**y + 360 + 12*q.
5*(q + 2)*(q + 6)**2
Let p(d) be the first derivative of 1/4*d**4 - 40/3*d**3 + 65 + 0*d + 200*d**2. Determine b so that p(b) = 0.
0, 20
Let d(q) = 6*q**2 + 32*q - 2. Let j be d(-17). Let n be ((-4)/(-3))/(j/162). Suppose 0 + 0*s + 0*s**3 + 0*s**2 + 4/11*s**4 - n*s**5 = 0. What is s?
0, 2
Let g(a) = -a**3 + 4*a**2 + 4*a - 11. Let x be g(4). Let 44*y**3 + 44*y**2 + y**4 + x*y**4 + 6*y**4 - 36 - 4*y**4 - 60*y = 0. What is y?
-3, -1/2, 1
Let b = 153910/3 - 50789. Let p = -513 + b. Suppose p*w**4 - 4*w**2 - 8/3 - 20/3*w + 4/3*w**3 = 0. Calculate w.
-1, 2
Let g(z) = z**3 - 9*z**2 + 21*z - 2. Let j = -588 + 593. Let k be g(j). Determine o, given that 1/5*o**2 + 1/5*o**k - 2/5*o + 0 = 0.
-2, 0, 1
Find b such that -1/3*b**5 - 9 - 14*b**2 + 5/3*b**4 + 2/3*b**3 + 21*b = 0.
-3, 1, 3
Let r(h) be the second derivative of -3*h**5/25 + 26*h**4/15 - 22*h**3/5 - 28*h**2/5 - 3*h + 116. Factor r(p).
-4*(p - 7)*(p - 2)*(3*p + 1)/5
Suppose -583 = -7*t - 555. Let b(v) be the second derivative of 2/3*v**2 - 1/54*v**t + 0 - 28*v - 5/27*v**3. Factor b(y).
-2*(y - 1)*(y + 6)/9
Solve -3*f**2 - 1656 + 3*f**2 - 37*f + f**3 + 763 + 809 = 0.
-4, -3, 7
Let a = 67742 + -270959/4. Solve 0 + 15*f**4 + 41/2*f**3 + 5/4*f + 9*f**2 + a*f**5 = 0 for f.
-5, -1, -1/3, 0
Let j(x) be the third derivative of x**8/1848 + x**7/385 - 4*x**6/165 + 2*x**5/55 - x**2 + 2325*x. Let j(b) = 0. What is b?
-6, 0, 1, 2
Factor 38/5*t**3 + 16/5 - 148/5*t**2 + 136/5*t.
2*(t - 2)**2*(19*t + 2)/5
Let t(k) be the first derivative of k**5/5 + 11*k**4/2 + 140*k**3/3 + 100*k**2 - 393. Factor t(y).
y*(y + 2)*(y + 10)**2
Suppose 8 = 10*g - 23*g + 8. Let b(v) be the second derivative of 0 + 0*v**3 + 1/70*v**5 + 3*v + 1/42*v**4 + g*v**2 - 1/105*v**6 - 1/147*v**7. Factor b(w).
-2*w**2*(w - 1)*(w + 1)**2/7
Find v, given that 2/15*v**3 + 0 + 10/3*v**2 + 76/5*v = 0.
-19, -6, 0
Let o(i) be the first derivative of 20/3*i**3 + 0*i - 15/2*i**2 - 48 - 5/4*i**4. Find c, given that o(c) = 0.
0, 1, 3
Let w = -32600 + 32602. Suppose -18/7*m - 20/7 + 2/7*m**w = 0. What is m?
-1, 10
Let h(x) be the second derivative of x**5/80 + 17*x**4/16 + 21*x**3 - 490*x**2 + 6821*x. Solve h(r) = 0.
-28, 5
Suppose -4*t - 94 = -362. Suppose 90 + t*q - 5*q**2 - 15*q + 33*q = 0. What is q?
-1, 18
Suppose -p + 0 - 3 = 0, 0 = 3*x - p - 42. Factor 5*f**4 + 0*f**4 + 15*f**4 - 11*f**2 + x*f - 1 - 8*f**4 - 13*f**3.
(f - 1)**2*(f + 1)*(12*f - 1)
Let j(s) be the third derivative of 89*s**6/120 - 22*s**5/15 - 179*s**4/24 - s**3/3 + s**2 + 338*s - 2. Factor j(n).
(n - 2)*(n + 1)*(89*n + 1)
Let d(a) be the second derivative of a**6/70 - 3*a**5/14 + 17*a**4/28 - 4*a**3/7 + 2312*a. Suppose d(f) = 0. What is f?
0, 1, 8
Let z(j) be the second derivative of -j**9/105840 - j**8/15680 - j**7/5880 - j**6/5040 - j**4/4 + j - 21. Let n(q) be the third derivative of z(q). Factor n(w).
-w*(w + 1)**3/7
Let f(b) be the third derivative of -b**6/300 - 29*b**5/150 - 37*b**4/15 + 28*b**3 - 3185*b**2. Factor f(w).
-2*(w - 2)*(w + 10)*(w + 21)/5
Let a(i) = -i**3 + 18*i**2 - 110*i + 235. Let o be a(7). Factor -5 + 24/5*d**2 + 2*d**3 + 1/5*d**o - 2*d.
(d - 1)*(d + 1)*(d + 5)**2/5
Let n(c) = -c**3 + 227*c**2 - 13437*c - 13695. Let j(g) = -4*g**3 + 909*g**2 - 53751*g - 54779. Let t(q) = 6*j(q) - 23*n(q). Factor t(x).
-(x - 117)**2*(x + 1)
Factor -32 + 62*s + 9 + 26*s**3 - 1 + 36 - 100*s**2.
2*(s - 3)*(s - 1)*(13*s + 2)
Let f = 254283/303881 + 3/7067. Let v = f + -137/215. Factor -v*l**2 + 0*l + 0.
-l**2/5
Let k(r) be the second derivative of -r - 2/3*r**3 + r**2 + 1/6*r**4 + 3. Factor k(i).
2*(i - 1)**2
Let h(w) be the second derivative of 33*w - 1 + 1/65*w**5 + 1/273*w**7 - 1/39*w**4 - 1/13*w**2 - 1/13*w**3 + 1/65*w**6. Let h(a) = 0. What is a?
-1, 1
Let d(w) be the first derivative of w**6/480 + w**5/60 + w**4/32 + w**2/2 + 6*w + 43. Let m(s) be the second derivative of d(s). Find b, given that m(b) = 0.
-3, -1, 0
Let a be 56/(-28)*((-22)/20 + 1). Find o, given that -a*o**3 + 0*o + 1/5*o**5 + 0*o**2 + 0*o**4 + 0 = 0.
-1, 0, 1
Let x be ((-2)/(-5 - -3))/(-7 + (-220)/(-30)). Let y(s) be the first derivative of 8*s + 22 + 4/3*s**x - 6*s**2. Factor y(u).
4*(u - 2)*(u - 1)
Let o be (492/(-574))/((-15)/(-7) - 2) - -8. Let p(t) be the second derivative of 6 + t**o - 1/72*t**4 + 1/120*t**5 - 5*t - 2/9*t**3. Let p(z) = 0. What is z?
-3, 2
Let f = -101 + 103. Let u(d) = 13*d + 104. Let w be u(-8). Factor -1/3*l**f + l + w.
-l*(l - 3)/3
Let y = 805981 - 805977. Let t = 8 - 5. Find g such that 0*g + 4/5*g**t + 7/5*g**5 + 16/5*g**y + 0*g**2 + 0 = 0