first derivative of -h**5/5 - h**4 - 2*h**3/3 + 2*h**2 + 3*h - 30. Suppose k(o) = 0. What is o?
-3, -1, 1
Let k be 4292/60 + (3/(9/2))/(3215 - 3214). Factor -1/5*l**4 + 684/5*l - 286/5*l**2 - k - 36/5*l**3.
-(l - 1)**2*(l + 19)**2/5
Let c = -328 - -330. Factor -10*d**3 + 12*d**c - d**4 - 8*d - 10*d**2 - 13*d**4 + 25*d**2 + 5*d**2.
-2*d*(d - 1)*(d + 2)*(7*d - 2)
Let m(u) = 69*u**2 - 519*u - 81. Let y(o) = 33*o**2 - 259*o - 40. Let j(s) = -6*m(s) + 13*y(s). Factor j(z).
(z - 17)*(15*z + 2)
Let b = 155 - 152. Suppose -12*s + 23 - 3*s**2 - 59 + 24 + 24 + 3*s**b = 0. Calculate s.
-2, 1, 2
Let s be ((-8)/(-60))/(-48*(-11)/1155). Let z(h) be the second derivative of -s*h**3 + 0 + 8*h - 1/4*h**5 + 1/15*h**6 + 3/8*h**4 + 1/8*h**2. Solve z(n) = 0.
1/2, 1
Find g such that 60*g + 3/2*g**2 + 1125/2 = 0.
-25, -15
Let h(j) be the first derivative of j**6 - 154*j**5/5 + 473*j**4/2 + 254*j**3 - 1456*j**2 + 1352*j - 846. Find r, given that h(r) = 0.
-2, 2/3, 1, 13
Let i(r) be the second derivative of r**6/330 - 17*r**5/110 - 49*r**4/44 - 94*r**3/33 - 38*r**2/11 + 115*r - 14. Solve i(b) = 0.
-2, -1, 38
Suppose 0 = 3*g - 2*h, 4*g - 2*h = -7*h + 23. Let w(s) = -s + 7. Let f be w(4). Find p such that -1 - 2*p**3 - 7*p + p**f - 3*p**2 + 0*p**g + 4*p = 0.
-1
Let l(c) be the third derivative of -c**5/90 - 119*c**4/9 - 56644*c**3/9 + 904*c**2. Suppose l(w) = 0. Calculate w.
-238
Let q = -10212899/5 - -2042581. Factor -14/5*w**4 - q*w**5 + 0*w**2 + 0 + 12/5*w**3 + 0*w.
-2*w**3*(w + 3)*(3*w - 2)/5
Determine w, given that -62*w**2 + w**3 - 685 - 329*w - 961 + 1244 = 0.
-3, -2, 67
Suppose -2*o - 2*c - 6 = -6*o, c - 12 = -3*o. Let w = 54 - 51. Solve 139 + w*b**o - b**2 - 139 - 2*b**2 = 0.
0, 1
Suppose -3*s - 2*c + 28 = 0, 2*s - 4*s = 4*c - 24. Suppose -s*d - 48 = -80. Factor 4*p + 1/3*p**d + 2*p**3 + 13/3*p**2 + 4/3.
(p + 1)**2*(p + 2)**2/3
Find l such that -15594 + 31062 - 15560 + 4*l**2 - 88*l = 0.
-1, 23
Let q(b) be the second derivative of -2 + 20/3*b**4 - 46*b + 0*b**2 - 13*b**3 - 1/10*b**5. Factor q(t).
-2*t*(t - 39)*(t - 1)
Let h(u) be the third derivative of -u**6/72 - u**5/6 - 5*u**4/6 + 53*u**3/6 + 3*u**2 + 4. Let w(t) be the first derivative of h(t). Factor w(x).
-5*(x + 2)**2
Let z(v) be the third derivative of v**8/840 + 2*v**7/525 - v**6/15 + 4*v**5/25 - 58*v**2 + 2. Let z(o) = 0. Calculate o.
-6, 0, 2
Let f(p) be the second derivative of -5*p**7/84 + p**6/4 + 17*p + 6. Factor f(x).
-5*x**4*(x - 3)/2
Let c(p) be the second derivative of -p**4/12 - 97*p**3/12 + 99*p**2/4 + 259*p. Determine t so that c(t) = 0.
-99/2, 1
Let h be ((-12)/50)/((-32)/80). Let c be (119/(-34) + (-10)/(-2))*16/120. Find s such that c*s**2 + 2/5 + h*s = 0.
-2, -1
Let u be (4/(-2))/((-38)/95). Suppose -j = u*m - 25, 2*m + 2*m + 2*j = 26. Solve 0 - 4/5*h + 6/5*h**5 - 2/5*h**3 - 2*h**m + 2*h**2 = 0.
-1, 0, 2/3, 1
Let i(m) be the second derivative of 1/4*m**5 - 40*m - 135/2*m**2 - 15/2*m**3 + 5/4*m**4 + 0. Suppose i(j) = 0. Calculate j.
-3, 3
Let r(o) be the third derivative of -o**5/390 - 5*o**4/78 + 23*o**3/3 - 46*o**2 + 3. Solve r(a) = 0.
-23, 13
Let g be 875/14*(0 - 4/(-5)). Let b = -50 + g. Factor -8*r**3 + 4*r**4 + b*r**2 - 2*r + 4 - 8*r**2 + 6*r + r**5 + 3*r**5.
4*(r - 1)**2*(r + 1)**3
Let y = 12225 - 85563/7. Factor -40/7*l + y - l**2.
-(l + 6)*(7*l - 2)/7
Let z(a) be the third derivative of a**8/24 - 59*a**7/525 - 49*a**6/100 + 11*a**5/150 + 13*a**4/15 - 4*a**3/5 - 1207*a**2. Suppose z(p) = 0. What is p?
-1, 2/7, 2/5, 3
Let s be 888/66 - 6/(-11). Let c be s + -8 + 8/(-2). Factor -5/2*r**c + 0*r + 0 + 5/2*r**3.
5*r**2*(r - 1)/2
Let t = 5001 - 4998. Factor 4/7*o**2 + 0 + 4/7*o + 1/7*o**t.
o*(o + 2)**2/7
Suppose -139 = -297*b + 298*b. Let a = b - -142. Factor -3*y**a + 0 - 6*y**2 + 3/2*y**4 + 3/4*y**5 + 0*y.
3*y**2*(y - 2)*(y + 2)**2/4
Let g(z) be the second derivative of -3*z**5/5 + 205*z**4/4 + 157*z**3/2 - 78*z**2 + 835*z. Factor g(c).
-3*(c - 52)*(c + 1)*(4*c - 1)
Let i be 2*(2 - -2 - 2). Suppose i*c - 17 = 3. Suppose -290*s - 20*s**4 + 40*s**2 + 130*s + 2*s**5 + 50*s**3 - 128 + 0*s**c = 0. Calculate s.
-1, 4
Suppose -194/7*q**3 + 2/7*q**4 + 384/7*q + 0 + 188/7*q**2 = 0. Calculate q.
-1, 0, 2, 96
Let j(f) be the second derivative of -3*f**5/40 - 3*f**4/4 + 15*f**3/4 + 75*f**2 - 4649*f. Factor j(o).
-3*(o - 4)*(o + 5)**2/2
Let z(w) be the second derivative of -w**6/150 - 7*w**5/100 + w**4/20 + 19*w**3/30 - 7*w**2/5 - 3229*w. Solve z(s) = 0 for s.
-7, -2, 1
Let n(y) = y**2 - 2*y. Let r(t) = 5*t**3 + 35*t**2 + 28*t + 16. Let m(p) = 6*n(p) - r(p). Factor m(d).
-(d + 1)*(d + 4)*(5*d + 4)
Let d be 6/(-4) - 297/(-6). Let m = d - 44. Let -6 - 180*t - 195*t**3 - 153*t**2 - 45*t**m - 137*t**2 - 34 = 0. What is t?
-2, -1, -2/3
Let n(b) be the first derivative of -b**5/2 + 15*b**4/8 + 275*b**3/6 + 705*b**2/4 + 225*b - 691. Find y such that n(y) = 0.
-3, -1, 10
Let q = -3568/3 + 28577/24. Factor -q*m - 5/4 - 1/8*m**2.
-(m + 1)*(m + 10)/8
Factor -29*z + 4*z + 138 + 23*z + 51*z + z**2.
(z + 3)*(z + 46)
Suppose -4*o + 11 + 5 = 0. Find u such that -10*u**2 + o*u**3 - 27 - 21 - 46*u**2 + 100*u = 0.
1, 12
Let a(b) be the third derivative of 1/132*b**4 + 2/33*b**3 + 0 - 1/330*b**5 + 78*b**2 + 0*b. Factor a(w).
-2*(w - 2)*(w + 1)/11
Suppose 0 = -k - 2*s - 166, -23*k + 516 = -26*k + 3*s. Let q be (-496)/k - (-144)/(-1224). Factor 0 + q*d**2 - 2/5*d**4 - 12/5*d + 0*d**3.
-2*d*(d - 2)*(d - 1)*(d + 3)/5
Factor 2/9*d**2 + 970/9*d - 976/3.
2*(d - 3)*(d + 488)/9
Let q = 3459 - 96849/28. Let n(l) be the second derivative of 0 + q*l**4 - 1/14*l**5 - 1/21*l**3 + 0*l**2 + l. Solve n(p) = 0.
0, 2/5, 1/2
Let o(j) be the third derivative of -1/40*j**5 - 1 + 0*j + 1/8*j**4 - 72*j**2 + 1/480*j**6 - 1/3*j**3. Let o(t) = 0. Calculate t.
2
Solve 17296/9*p - 4/9*p**2 - 18696976/9 = 0 for p.
2162
Let l(z) = 30*z**3 + 2*z**2 + 3*z + 1. Let f be l(-1). Let k = 45 + f. Find w such that 1504*w**2 - 10 + 5*w**4 + 0 - 1499*w**2 + 15*w - k*w**3 = 0.
-1, 1, 2
Suppose 183*n = 185*n - 18. Let m(u) = -u**3 + 14*u**2 - 47*u + 21. Let s be m(n). Factor 0 - 3/8*l**2 + 3/8*l**s - 3/4*l.
3*l*(l - 2)*(l + 1)/8
What is k in -376*k - 3*k**2 + 235*k - 714*k + 858 = 0?
-286, 1
Let z(a) be the first derivative of a**8/112 - a**7/14 + a**6/5 - a**5/5 - 7*a**2/2 + 122. Let t(p) be the second derivative of z(p). Factor t(b).
3*b**2*(b - 2)**2*(b - 1)
Let h(n) be the second derivative of 5*n + 3*n**2 + 13/2*n**3 + 12 - 18*n**4 - 41/5*n**6 + 3/2*n**7 + 177/10*n**5. Factor h(k).
3*(k - 1)**4*(21*k + 2)
Let -5000/3*i - 3125000/3 - 2/3*i**2 = 0. Calculate i.
-1250
Suppose -10*r - 23 + 23 = -147*r - 44*r. Solve r + 2*k - 2/9*k**2 - 2*k**3 + 2/9*k**4 = 0 for k.
-1, 0, 1, 9
Let y(k) be the first derivative of -24 - 125/4*k**4 - 45*k**3 + 130*k + 125/2*k**2 + k**5. Find s such that y(s) = 0.
-1, 1, 26
Let r(w) be the third derivative of w**5/4 - 2001*w**4/8 + 200*w**3 - 3*w**2 - 719*w. Let r(z) = 0. Calculate z.
1/5, 400
Let x(m) be the third derivative of m**6/30 - 122*m**5/5 + 363*m**4/2 - 820*m**2 - 2. Factor x(r).
4*r*(r - 363)*(r - 3)
Factor -303317 - 259*n**2 + 518*n**2 - 3600*n - 344683 - 264*n**2.
-5*(n + 360)**2
Let f = -209 + 212. Let a(v) = -2*v**2 - 2*v + 10. Let u(p) = 5*p**2 + 15*p + 3*p**2 + 7*p**2 - 80. Let k(z) = f*u(z) + 25*a(z). Factor k(o).
-5*(o - 1)*(o + 2)
Let n be 0/6 - ((-146)/6 - 1). Let x = -22 + n. Find b such that 10/3*b**2 + x + 25/3*b = 0.
-2, -1/2
Suppose 0 = 2*n - 310 + 334. Let r be (n/(-42))/((-13)/(-78)). Find f such that -33/7*f - r*f**2 - 18/7 + 3/7*f**3 = 0.
-1, 6
Suppose 0 = -5*n + 10, 3*x + 0*x + n - 80 = 0. What is g in -g**5 + 200*g**2 + 39 - 34 + 9*g**4 + 0*g**5 - x*g**3 - 166*g**2 - 21*g = 0?
1, 5
Suppose -200 = 12*d - 224. Let g(r) be the second derivative of 1/26*r**4 - 1/130*r**5 + r + 0 - 2/39*r**3 + 0*r**d. Suppose g(n) = 0. What is n?
0, 1, 2
Let k(s) be the second derivative of 13/36*s**3 + 1 + 1/72*s**4 + 0*s**2 - 46*s. Factor k(o).
o*(o + 13)/6
Let b(v) = 45*v**2 - 362645*v + 730478125. Let l(z) = 5*z**2 - 40294*z + 81164237. Let w(x) = 4*b(x) - 35*l(x). Suppose w(c) = 0. Calculate c.
4029
Let f(v) be the second derivative of -v**7/42 - v**6/10 + v**5/4 + v**4/4 - 2*v**3/3 - 123*v + 16. Factor f(y).
-y*(y - 1)**2*(y + 1)*(y + 4)
Let o = -1153764/11 + 104888. Factor -o*a - 2/11*a**2 + 0.
-2*a*(a + 