 + r*y**2 + 33/4*y.
3*(y + 2)*(y + 9)/4
Let k(p) be the third derivative of 33*p**2 + 0*p**3 + 0 - 1/130*p**5 - 1/780*p**6 + 0*p + 3/26*p**4. Factor k(f).
-2*f*(f - 3)*(f + 6)/13
Let o(i) = 3*i**2 - 9*i - 86. Let w(z) = -2*z**2 + 18*z + 86. Let x(h) = -3*o(h) - 4*w(h). Factor x(b).
-(b + 2)*(b + 43)
Factor 889*k - 67 - 52*k**2 - 869*k + 235.
-4*(k - 2)*(13*k + 21)
Suppose -16986 = -7*b - 31*b. Factor -32*l + 12 + 148*l**2 - b*l**2 + 146*l**2 - 36 + 139*l**2 - 2*l**3.
-2*(l + 2)**2*(l + 3)
Let v(w) be the second derivative of w**4/12 + 8*w**3/3 - 18*w**2 - 256*w. Let u be v(-18). Factor 1/5*g**5 + u + 6/5*g**3 + 4/5*g**4 + 1/5*g + 4/5*g**2.
g*(g + 1)**4/5
Let a be (-1)/4 + (-18)/(-8). Let u be 9 + (3 - (-6 - -15)). Factor -8*j**2 + a*j**4 - 2*j**u + 5*j + 3*j - 1 + 1.
2*j*(j - 2)*(j - 1)*(j + 2)
Let v(h) = -6*h - 36. Let n(t) = -7*t - 35. Let q(u) = 4*n(u) - 5*v(u). Let w be q(-17). Factor 75*a**4 + 9 - 3 - 20*a**5 - 60*a**3 - 20*a**2 - w.
-5*a**2*(a - 2)**2*(4*a + 1)
Let b(g) be the third derivative of g**7/70 - 13*g**6/40 - 23*g**5/10 - 4*g**4 + 965*g**2. Determine a, given that b(a) = 0.
-2, -1, 0, 16
Let y(x) be the second derivative of 1/6*x**7 + 239/20*x**5 - 34/15*x**6 + 47*x + 0 - 173/6*x**4 + 36*x**2 + 22*x**3. Suppose y(w) = 0. Calculate w.
-2/7, 2, 3
Suppose -3*s + 12 = 21. Let c be s/(90/(-70)) - (-2)/(-6). Factor 18/5 - 12/5*r + 2/5*r**c.
2*(r - 3)**2/5
Suppose -3*m = -6, -m + 5*m = -3*h + 245. Suppose 0 = 28*c - h - 5. Factor -2/3*q**c + 2/3*q**2 + 4/3*q + 0.
-2*q*(q - 2)*(q + 1)/3
Let c be ((-54)/(-36))/((-6)/(-16)). Suppose -3*z + t + 12 = 6, -4*z + c*t = 0. Factor 1/2*a**z + 0 + 0*a + 2*a**2.
a**2*(a + 4)/2
Let d(k) be the third derivative of -k**6/240 + k**5/40 - k**3/3 + 89*k**2. Factor d(m).
-(m - 2)**2*(m + 1)/2
Let c = 487 + -475. Let l(k) = k**2 + 10*k + 2. Let i be l(-10). Factor 10*z + c*z + 4*z**4 + 16*z**3 - 24*z**i - 38*z + 20.
4*(z - 1)**2*(z + 1)*(z + 5)
Let l(g) = 5*g**3 - 330*g**2 - 110*g + 7262. Let w be l(66). Let -8712/7 + 264/7*r - 2/7*r**w = 0. Calculate r.
66
Solve 118*d + 190*d - 567*d + 3*d**2 - 1288 + 103*d + d**2 = 0 for d.
-7, 46
Factor 223*h**3 - 114*h**3 + 100*h**2 - 174 - 108*h**3 - h + 74*h**2.
(h - 1)*(h + 1)*(h + 174)
Let t(j) = -395*j**2 - 13*j - 10. Let a be t(-1). Let v = -390 - a. What is k in -8/7*k**v + 0 - 2/7*k**3 - 6/7*k = 0?
-3, -1, 0
Let -4896/7 - 3/7*d**4 + 93/7*d**3 + 3552/7*d - 906/7*d**2 = 0. Calculate d.
4, 6, 17
Let f(s) = -235*s + 5. Let q be f(5). Let a = 3046 + q. Let -a*v**2 - v**3 - v**3 + 10*v + 1884*v**2 = 0. What is v?
-1, 0, 5
Let a be (48/(-660))/(3 + 105/(-33)). Let l(u) be the first derivative of 26 - a*u**2 - 2/5*u**4 - 2/25*u**5 + 0*u - 2/3*u**3. Factor l(s).
-2*s*(s + 1)**2*(s + 2)/5
Let v = 225 + -149. Suppose -v + 31 = -5*l. Suppose -l*o**3 + 5*o**3 + 12*o**3 - o**2 + 5*o**2 = 0. Calculate o.
-1/2, 0
Let b = -161745 - -161745. Factor -8/7*a**2 + b*a + 8/7*a**3 + 0 + 4/7*a**5 + 2*a**4.
2*a**2*(a + 2)**2*(2*a - 1)/7
Suppose 210 = 2*c - 8*c. Let a be 1 + 5 + ((-2600)/c)/(-13). Solve a*q**5 + 2/7*q**4 + 2/7*q - 4/7*q**2 + 2/7 - 4/7*q**3 = 0.
-1, 1
Let t(r) = -18*r**3 + 2*r. Let u be t(-1). Factor -9 + 20*h**2 + u*h**2 - 12*h + 10*h**2 - 49*h**2.
-3*(h + 1)*(h + 3)
Suppose -4*u = 4*h + 40, 3*u + 16 + 8 = 3*h. Let t be 230/(-207)*u/6. Find z, given that -z + 1/6 - t*z**3 + 2*z**2 + 1/2*z**4 = 0.
1/3, 1
Suppose -4*a = -5*x + 44, -5*a + 2*x - 88 = 4*x. Let l = 37 + a. Determine h, given that -2*h**2 - 19 + 10*h + 5*h**3 + 11*h**2 + 16*h**2 - l = 0.
-4, -2, 1
Let m(x) be the first derivative of 1/3*x**3 + 25*x**2 + 53 + 625*x. Let m(t) = 0. Calculate t.
-25
What is g in 14*g**4 - 124544*g + 11547 - 66155*g**2 - 18959 - 3146*g**3 + 244007*g**2 - 42764 = 0?
-2/7, 1, 112
Determine t, given that -4/3*t**5 + 8/3*t**4 + 512/3 - 832/3*t + 188/3*t**3 + 128/3*t**2 = 0.
-4, 1, 8
Find o such that -266*o**4 - 233*o**4 + 561*o**2 - 300*o**3 + 240*o + 323*o**2 + 739*o**4 - 224*o**4 = 0.
-1/4, 0, 4, 15
Factor 239 - 2*o**3 - 26 + 30 - 66 + 3 + 40*o**2 - 218*o.
-2*(o - 10)*(o - 9)*(o - 1)
Let p be 1*5 - 598/(-4550)*-35. Let -p*x**2 + 0 - 4/5*x = 0. What is x?
-2, 0
Solve -2/5*l**4 + 104/5 - 32*l + 52/5*l**3 + 6/5*l**2 = 0 for l.
-2, 1, 26
Suppose -15 = -9*y - 60. Let g be (-25)/(-10)*(-6)/y. Find t such that 5/3*t - 1/3*t**2 - 1/3*t**g - 1 = 0.
-3, 1
Let u = -148 + 142. Let s(t) = -t**3 - 9*t**2 - 23*t - 28. Let p be s(u). Factor 1/2*k**3 - p*k**2 + 3/2*k + 0.
k*(k - 3)*(k - 1)/2
Let t(g) be the third derivative of -g**5/20 + 23*g**4/4 - 129*g**3/2 - 3*g**2 + 1259. Factor t(w).
-3*(w - 43)*(w - 3)
Let 8/5*t**5 + 1176/5*t + 128 - 344/5*t**3 - 108/5*t**4 + 308/5*t**2 = 0. Calculate t.
-5/2, -1, 2, 16
Factor -2/7*q**3 - 10*q + 34/7 + 38/7*q**2.
-2*(q - 17)*(q - 1)**2/7
Let x be (-126)/7*3/6. Let r be ((-28)/6)/(((-60)/x)/(-10)). Let 15 - r*q**2 + 21*q - 41*q + 12*q**2 = 0. Calculate q.
1, 3
Let o(h) = 2*h + 17. Let s be o(2). Let z be (-66)/(-20) + s/35*-5. Solve -z + 1/10*b**2 + 1/5*b = 0 for b.
-3, 1
Let v = 50/37 - 2/111. Let x = -468196/3 + 156066. Find l such that -x*l**2 + 2 + v*l = 0.
-1, 3
Let c(k) be the second derivative of -69169*k**4/30 + 526*k**3/3 - 5*k**2 + 2*k - 618. Let c(n) = 0. Calculate n.
5/263
Suppose -3*b + 2*y + 17 = 0, -4*b - 8*y = -13*y - 32. Let q(m) be the second derivative of 0 + 0*m**b - 7*m + 1/6*m**4 + 0*m**2 + 1/10*m**5. Factor q(l).
2*l**2*(l + 1)
Let o(r) = -r**2 - 14*r - 18. Let b be o(-13). Let j be 0 - 1 - (b + 1). Factor -6*x - 48*x**j + 0*x**2 + 2*x**4 + 2*x**2 + 54*x**3 - 4.
2*(x - 1)*(x + 1)**2*(x + 2)
Let j be (-88)/(-24) - 4/(-3). Solve -5*v + 563*v**3 + j*v**4 - 35*v**2 + 30 - 281*v**3 - 277*v**3 = 0.
-3, -1, 1, 2
Find v such that 129/2*v + 223/2*v**3 + 347/2*v**2 + 0 + 5/2*v**4 = 0.
-43, -1, -3/5, 0
Let r be -14*((-7)/42)/((-134)/2680*(-2)/4). Factor 2/3*f**2 + r*f + 9800/3.
2*(f + 70)**2/3
Let d(l) = l - 15. Suppose 863 = 31*x + 305. Let b be d(x). Factor 22/3*o - 4/3 + 3/2*o**b - 19/3*o**2.
(o - 2)**2*(9*o - 2)/6
Let r(x) = -2*x**3 + 35*x**2 + 43*x + 8. Let f be r(-1). Let m(i) be the first derivative of 1/4*i**4 + 29 + i**3 - 3*i - 1/2*i**f. Factor m(j).
(j - 1)*(j + 1)*(j + 3)
Let y(b) be the third derivative of b**8/1512 - 4*b**7/63 + 32*b**6/45 - 343*b**5/135 - 59*b**4/36 + 106*b**3/3 + 6170*b**2. Find s, given that y(s) = 0.
-1, 2, 3, 53
Let f = -38/581 + 68351/1053934. Let i = f + 3637/16326. Find y, given that 4/9*y**3 - 4/9*y - 8/9*y**2 + i*y**4 + 2/3 = 0.
-3, -1, 1
Suppose b + 9 = 4*b. Suppose 5 - 23 = -b*j. Factor 35*l**3 + 9*l**4 - j*l**2 + 27*l**2 - 12*l - 5*l**3 - 12.
3*(l + 1)**2*(l + 2)*(3*l - 2)
Let p = 2 + -4. Let k(c) = 2*c**2 + 21*c + 3. Let z(g) = -g**2 - g - 1. Let f(i) = p*k(i) - 6*z(i). Factor f(y).
2*y*(y - 18)
Let j(k) = 193*k + 7. Let l be j(2). Let f = l - 262. Let -128*q**3 - 2*q**5 + q**5 + f*q**3 + 2*q**2 = 0. What is q?
-1, 0, 2
Let y(b) be the first derivative of -b**6/24 + b**5/6 + b**3/3 + 39*b - 92. Let s(h) be the third derivative of y(h). Factor s(p).
-5*p*(3*p - 4)
Suppose 0 = -2*l + 18, -5*u + 13*l + 55 = 18*l. Factor 24/11*h**u + 6/11 + 12/11*h**3 + 20/11*h + 2/11*h**4.
2*(h + 1)**3*(h + 3)/11
Suppose 18/5*s**3 + 72/5 + 2/5*s**4 - 74/5*s**2 - 18/5*s = 0. What is s?
-12, -1, 1, 3
Let b(a) be the first derivative of a**6/165 - a**4/22 - 2*a**3/33 - 39*a - 19. Let z(v) be the first derivative of b(v). Suppose z(p) = 0. What is p?
-1, 0, 2
Let b(g) be the first derivative of -g**6/15 + 56*g**5/25 - 99*g**4/10 + 136*g**3/15 + 20*g**2 - 192*g/5 + 3878. Let b(h) = 0. Calculate h.
-1, 1, 2, 24
Solve 0 - 24/5*v + 4/5*v**2 + 4/5*v**3 = 0 for v.
-3, 0, 2
Let n(i) be the first derivative of 12/25*i**5 + i**4 - 21/10*i**2 - 2/15*i**3 - 38 - 2*i + 1/30*i**6. Factor n(k).
(k - 1)*(k + 1)**3*(k + 10)/5
Let r(g) be the third derivative of g**6/6 + 574*g**5/5 - 1037*g**4/6 - 460*g**3 + 2470*g**2. Factor r(z).
4*(z - 1)*(z + 345)*(5*z + 2)
Let g be (-1)/(-7) + (9045/42)/1. Let x = -215 + g. Suppose 0*u + 1/4*u**5 - 1/2*u**4 + 0 - 1/4*u**3 + x*u**2 = 0. Calculate u.
-1, 0, 1, 2
Suppose -5*p + 46 = -69. Suppose 5*v + 13 = p. Solve 25*l - 47*l**3 - 12*l**2 + 2 + 3 + 2*l**3 + 27*l**v = 0.
-1/3, 1
Find w such that -18*w**2 - 660*w**3 + 147 + 15*w**4 + 203*w - 556*w**3 + 1158*w**3 - w**5 = 0.
-1, 3, 7
Let l(f) be the first d