Let i = -2717/12 + 5437/24. Let b(l) be the first derivative of -i*l**3 - 5 + 0*l + 1/32*l**4 - 1/4*l**2. Solve b(p) = 0.
-1, 0, 4
Factor 0 - 2/9*b**3 + 106/9*b - 104/9*b**2.
-2*b*(b - 1)*(b + 53)/9
Suppose 0 = -8*z - 9 + 25. Determine u, given that -6*u + u**3 + 555 + u**z - 555 = 0.
-3, 0, 2
Solve 162848 + c**4 - 560*c - 161692 + 2141*c + 463*c**2 + 39*c**3 = 0 for c.
-17, -4, -1
Let b be (17 + -3)/(20 + -19). Let f be (-4)/((-21)/b + -5). Factor -8/13 - 2/13*w**2 + f*w.
-2*(w - 2)**2/13
Let w(x) be the second derivative of -3*x**6/10 + 558*x**5/5 + 4489*x**4/12 + 458*x**3 + 250*x**2 + 1046*x - 2. Solve w(a) = 0 for a.
-1, -2/3, -1/3, 250
Let c(o) = -14*o**4 + 68*o**3 + 954*o**2 - 2904*o - 1076. Let s(w) = -16*w**4 + 69*w**3 + 953*w**2 - 2898*w - 1075. Let u(l) = -5*c(l) + 4*s(l). Solve u(g) = 0.
-10, -1/3, 3, 18
Let q = -513 - -522. Let p be q/5 - 11/(-55). Solve 0 - 5/2*l - 5/2*l**p = 0.
-1, 0
Let f(q) be the third derivative of -q**5/120 + 7*q**4/24 + 5*q**3/4 - 2706*q**2. Factor f(h).
-(h - 15)*(h + 1)/2
Let i be -7 + (-636)/(-108) + (-17)/(612/(-364)). Suppose -i - 9*q + 15*q**2 + 2/3*q**4 - 17/3*q**3 = 0. What is q?
-1/2, 3
Let c(f) be the third derivative of f**7/105 - f**6/2 + 277*f**5/30 - 65*f**4 + 676*f**3/3 - 1240*f**2 - 1. Factor c(r).
2*(r - 13)**2*(r - 2)**2
What is b in -33*b**2 + 9/2*b + 0 = 0?
0, 3/22
Let l be (-142 + 105)/(-629) - 706/(-136). Factor l*a**3 + 3/4*a**4 + 21/2 - 9/4*a**2 - 57/4*a.
3*(a - 1)**2*(a + 2)*(a + 7)/4
Suppose -8*r + 9 = -15. Suppose -r*a = -2*a - 2. Let -4*t**2 - 12*t + 32 + a*t + 3*t - t = 0. What is t?
-4, 2
Suppose 1584 = 21*d - 5*d. Factor -103*u**2 - 21*u**4 - 3*u**5 + 54*u**3 - d*u**2 + 196*u**2 - 51*u + 27.
-3*(u - 1)**3*(u + 1)*(u + 9)
Suppose -16*t = -1034 + 250. Let y be (t/14)/(-7) - (-10)/20. Factor -2/3 + 2/3*m**2 + y*m.
2*(m - 1)*(m + 1)/3
Let k = -3539 - -3541. Let a(n) be the third derivative of 0 - 4/21*n**3 + 0*n + 9*n**k - 1/105*n**5 - 1/14*n**4. Let a(y) = 0. What is y?
-2, -1
Suppose 0 = 14*k - 24*k - 10. Let s be (-54)/18*k/5. Determine f so that 12/5*f**2 - 33/5*f + 18/5 + s*f**3 = 0.
-6, 1
Suppose -2*y - 299488 + 5*y + 3*y**2 + 298768 = 0. What is y?
-16, 15
Suppose -36*n**3 - 2*n**4 - 3162 + 82*n**2 + 3082 + 5*n + 31*n = 0. What is n?
-20, -1, 1, 2
Find t, given that 575/2*t**2 - 5/2*t**4 + 60*t**3 - 165*t - 1260 = 0.
-3, 2, 28
Let t = 35 - 20. Suppose 3 = 6*d - t. Factor -o - o - 2*o**d + 7*o**3 - 3*o.
5*o*(o - 1)*(o + 1)
Let h(v) be the second derivative of -v**7/147 + 109*v**6/105 - 921*v**5/70 + 2119*v**4/42 - 1906*v**3/21 + 600*v**2/7 - 5466*v + 2. Find s such that h(s) = 0.
1, 6, 100
Let w(p) be the first derivative of -p**4 + 488*p**3/3 + 496*p**2 + 525. Factor w(o).
-4*o*(o - 124)*(o + 2)
Suppose x + 283 = 2*l + 295, -3*l - 10 = -x. Let -2/7*u**3 - 118/7 + 234/7*u - 114/7*u**l = 0. Calculate u.
-59, 1
Let d be (-5 + -545)*((2 - 5) + 5). Let h be ((-4)/10)/(132/d). Factor -1 + 0*y**3 - 10/3*y**2 + 5/3*y**4 + h*y - 2/3*y**5.
-(y - 1)**4*(2*y + 3)/3
Let i(y) be the third derivative of y**6/90 - 20*y**5/9 - y**4/18 + 200*y**3/9 - 471*y**2. What is x in i(x) = 0?
-1, 1, 100
Let j(t) be the second derivative of -5/24*t**4 + 0*t**2 + 0*t**3 - 3/20*t**5 + 2*t - 20 - 1/60*t**6. Factor j(g).
-g**2*(g + 1)*(g + 5)/2
Let -16*b**2 - 10619*b + 2*b**3 - 4*b**3 + 11*b**2 + 144 - 47*b**2 + 10529*b = 0. What is b?
-24, -3, 1
Let d(f) be the second derivative of -f**5/30 + 5*f**4/12 + 2*f**3 + 118*f**2 - 64*f. Let t(g) be the first derivative of d(g). What is x in t(x) = 0?
-1, 6
Let o be 42/287*41*(-1)/(-3). Factor 20/9 + 2*q - 2/9*q**o.
-2*(q - 10)*(q + 1)/9
Let l(j) = -j**2 - 15*j + 2. Let m be l(-15). Let 145*s - 6438*s**2 + 6468*s**m + 11*s + 168 - 3*s**3 = 0. Calculate s.
-2, 14
Let f(y) be the first derivative of y**3/6 - 45*y**2/2 + 261*y/2 - 5126. Suppose f(b) = 0. What is b?
3, 87
Let n(j) be the third derivative of 0*j + 0 - 16/3*j**3 - 14*j**2 + 1/6*j**6 + 2*j**4 + 6/5*j**5. Find v such that n(v) = 0.
-2, 2/5
Let l(g) be the second derivative of 1 - 8*g + 0*g**2 + 1/28*g**4 + 3/7*g**3. Let l(k) = 0. Calculate k.
-6, 0
Let x(w) be the second derivative of w**5/50 - 4*w**4/15 + 7*w**3/5 - 18*w**2/5 - 1092*w. Factor x(s).
2*(s - 3)**2*(s - 2)/5
Let x(p) = -4*p**3 + 15*p**2 + 99*p + 162. Let y(j) = -23*j**3 + 89*j**2 + 594*j + 972. Let a(k) = 34*x(k) - 6*y(k). Find f such that a(f) = 0.
-3, 18
Let i(f) be the second derivative of f**4/66 + 140*f**3/3 + 53900*f**2 - 2331*f. Find o such that i(o) = 0.
-770
Let y(q) be the second derivative of -9*q + 55/12*q**4 + 1/6*q**6 + 25/6*q**3 + 0*q**2 + 7/4*q**5 + 1. Suppose y(n) = 0. Calculate n.
-5, -1, 0
Let f be (4 + -5)/((-104)/16 - -3). Find p such that f*p + 2/7*p**5 + 8/7*p**2 - 4/7*p**3 - 4/7 - 4/7*p**4 = 0.
-1, 1, 2
Suppose 2*k = 2*g + 26, 6*k = -5*g + k - 95. Let m be 3 - (g/4 - -3). Factor 6 + 2*x**2 + 0*x**2 + 6*x - m - 6 - 6*x**3 + 2*x**4.
2*(x - 2)*(x - 1)**2*(x + 1)
Determine d so that -213*d**3 - 21/2*d**4 - 192 - 774*d**2 - 876*d = 0.
-16, -2, -2/7
Let s(y) = -y**3 - 414*y**2 - 5180*y - 8720. Let r(h) = -9*h**3 - 3864*h**2 - 48348*h - 81387. Let f(m) = -8*r(m) + 75*s(m). Find w such that f(w) = 0.
-22, -2
Factor -190*w**2 - 1926*w + 38*w**2 + 30 + 1172*w.
-2*(w + 5)*(76*w - 3)
Let m be 220/275*1*(-275)/22 + 43/4. Factor 3/8*r**3 - 9/8*r**2 + m + 3/8*r**4 - 3/8*r.
3*(r - 1)**2*(r + 1)*(r + 2)/8
Let p = -11184/91 - -1620/13. Factor p - 2/7*z - 2/7*z**2.
-2*(z - 2)*(z + 3)/7
Let y be -1310*7/(-840) - 77/66. Suppose -3 = -f - 0. Factor 0 - y*k**2 + 21/2*k**f - 15/4*k**4 + 3*k.
-3*k*(k - 1)**2*(5*k - 4)/4
Suppose 960*i - 2123*i + 75*i**3 - 60*i**2 - 5*i**4 + 1023*i = 0. What is i?
-1, 0, 2, 14
Let j be (-22 - 9918/(-406)) + 3/(-7)*1. Factor 2/15*g**j + 4/15*g + 0.
2*g*(g + 2)/15
Let k be 2*(-18)/(-48) - (-27)/12. Factor -105*c**2 + 96*c - 99*c**3 + 41*c**3 - 20 + 33*c**k.
-(c + 5)*(5*c - 2)**2
Let c be (-4)/(-63) + (-585)/(-819). Let y(f) be the first derivative of -c*f**2 + 18 + 20/9*f + 2/27*f**3. Factor y(x).
2*(x - 5)*(x - 2)/9
Let q(o) = -3*o**2 + 129*o - 566. Let h be q(38). Let n(u) be the second derivative of 5/12*u**h - 5/2*u**3 + 0*u**2 + 0 - 20*u. Factor n(i).
5*i*(i - 3)
Suppose -78*w**3 + 154*w**4 + 216*w**4 - 368*w**4 = 0. What is w?
0, 39
Let f be (-14)/21*(27/(-6) - 0/(-9)). Let r = -22 + 27. Let 15/4*n**3 + 3/4*n**r + 0*n + 0 + 3/2*n**2 + f*n**4 = 0. What is n?
-2, -1, 0
Suppose -122 = -s - 10*v, -v = -249*s + 244*s - 2. Solve 0*o**s + 0 - 4/13*o**3 + 2/13*o**5 + 2/13*o + 0*o**4 = 0 for o.
-1, 0, 1
Let g be (((-12)/(-15))/(-2))/((-70)/14525). Let v = -81 + g. Suppose 7/6*r**4 + 8/3 - 4/3*r - 23/6*r**v + 7/6*r**3 + 1/6*r**5 = 0. What is r?
-4, -1, 1
Suppose -2*k - k - k = 0. Suppose -7*d + 196 = -k*d. Factor d*b**2 - 14*b**2 - 16 - 10*b**2 - 12*b.
4*(b - 4)*(b + 1)
Let w be (234/(-28))/((-12978)/15141). Factor -w*h + 11/4*h**2 + 45/4 - 1/4*h**3.
-(h - 5)*(h - 3)**2/4
Let a(y) be the third derivative of -3*y**8/392 - 38*y**7/245 + 11*y**6/105 + 11*y**5/35 + 13*y**4/84 + 3586*y**2. Determine q so that a(q) = 0.
-13, -1/3, 0, 1
Suppose -21*a + 18*a = 3*m - 6, 5*m = a - 14. Let f(l) be the second derivative of 3*l + 0*l**2 + 1/2*l**3 + 1/2*l**a + 3/20*l**5 + 0. Factor f(q).
3*q*(q + 1)**2
Let t(f) be the first derivative of 62 - 1/8*f**4 - 3/2*f**3 + 11/2*f**2 + 0*f. Factor t(v).
-v*(v - 2)*(v + 11)/2
Let w(a) be the third derivative of a**6/420 + 17*a**5/105 + 145*a**4/84 + 12522*a**2. Let w(q) = 0. Calculate q.
-29, -5, 0
Let g(x) be the first derivative of -1/8*x**4 - 233 + 0*x + 7/6*x**3 + 0*x**2 - 7/10*x**5 + 1/12*x**6. Determine p so that g(p) = 0.
-1, 0, 1, 7
Let z = -208066 - -416139/2. Factor 0 - 1/2*f + 5/4*f**4 + 7/4*f**2 + z*f**3.
f*(f + 1)*(f + 2)*(5*f - 1)/4
Let n(l) be the first derivative of -3*l**5/5 - 9*l**4/2 + 9*l**3 + 21*l**2 + 1058. Solve n(t) = 0 for t.
-7, -1, 0, 2
Let 13122/11 - 6/11*d**5 - 12780/11*d**2 + 486*d - 342/11*d**4 - 5340/11*d**3 = 0. What is d?
-27, -3, -1, 1
Let y = -214 + 239. Let j be 1/6 - y/(-210). Find q, given that -4/7*q + j - 6/7*q**2 = 0.
-1, 1/3
Let u(j) = j**3 - 2*j**2 + 8*j - 7. Let d be u(1). Suppose 2*n - 2*h - 4 = -n, d = -2*n + 5*h + 10. Factor 2/5*r + 2/5*r**2 + n.
2*r*(r + 1)/5
What is k in 1/2*k**3 + 25/2 + 301/6*k + 229/6*k**2 = 0?
-75, -1, -1/3
Let v(c