Suppose 5*a - 198 = -83. Suppose 3*l - a = -3*x - x, 2*l - 5*x = 0. Determine i, given that -8*i**3 + i - l*i - 10*i**2 + 78*i**4 - 80*i**4 = 0.
-2, -1, 0
Factor -1/3*w**2 - 148 + 80/3*w.
-(w - 74)*(w - 6)/3
Factor 339 - 681/2*n + 3/2*n**2.
3*(n - 226)*(n - 1)/2
Let y(b) = b**3 - 16*b**2 - 11*b. Let w = 64 - 102. Let h = w - -32. Let i(p) = p**3 - 8*p**2 - 5*p. Let c(o) = h*y(o) + 10*i(o). Factor c(g).
4*g*(g + 2)**2
Let b be ((-6)/(-5))/((-9)/(-6180)). Factor 24*s**2 - 9*s**3 + 5*s**3 - 856*s + b*s.
-4*s*(s - 4)*(s - 2)
Let w be 2/3*6*8359/(-468). Let g = w - -79. What is t in 20/9*t**4 - 12 - 6*t + 8*t**2 + 2/9*t**5 + g*t**3 = 0?
-3, -2, 1
Suppose 0 = 5*d + l - 15, 0*l - 5*l + 12 = 4*d. Factor -4*h**2 + 3*h**4 - 4*h + 6*h**5 - 7*h**5 - h**4 + 3*h**d.
-h*(h - 2)**2*(h + 1)**2
Let z(d) be the first derivative of 0*d + 3*d**3 + 3/16*d**4 + 181 + 0*d**2. Factor z(n).
3*n**2*(n + 12)/4
Let f(k) be the second derivative of -9*k**7/980 + 11*k**6/420 - k**5/70 - 3*k**3 + 50*k. Let u(p) be the second derivative of f(p). Factor u(h).
-6*h*(h - 1)*(9*h - 2)/7
Let j(z) be the first derivative of -z**6/630 - 4*z**5/35 - 23*z**4/42 - 2*z**3/3 - 79*z + 108. Let g(p) be the third derivative of j(p). Factor g(n).
-4*(n + 1)*(n + 23)/7
Let d = -44617/2 + 22310. Let y(b) be the first derivative of 2/3*b**3 - 3/5*b**5 + 1/6*b**6 + 38 + b + 1/2*b**4 - d*b**2. Find r such that y(r) = 0.
-1, 1
Factor 5*s**2 - 945*s + 3941 - 3941.
5*s*(s - 189)
Let b be (-864)/75*(-5)/(-20)*230. Let j = 664 + b. Suppose -4/5*f - j*f**2 + 12/5 = 0. What is f?
-3/2, 1
Let p(f) be the first derivative of 2 + 1/10*f**5 - 2/3*f**4 + 15/2*f**2 + 16/9*f**3 + 0*f. Let g(l) be the second derivative of p(l). Factor g(q).
2*(3*q - 4)**2/3
Suppose -3/2*f**4 - 27/2*f + 213/2*f**2 + 27/2*f**3 - 105 = 0. Calculate f.
-5, -1, 1, 14
Let a = 276/7 - 39. Let z be (-17 + 17)/(3 - 4). Factor z + a*j**3 + 12/7*j - 12/7*j**2.
3*j*(j - 2)**2/7
Suppose -144 = -2*n - 5*y, -216 = -3*n + 9*y - 4*y. Let g be 20/(-12) + 3/(n/43). Determine b so that g*b**2 - 1/8*b + 0 = 0.
0, 1
Let s(c) be the second derivative of -7*c**7/10 - 7*c**6/2 + 1647*c**5/100 + 1087*c**4/20 + 236*c**3/5 + 18*c**2 + 696*c + 2. Let s(y) = 0. Calculate y.
-5, -1, -2/7, 3
Let i = -674/17 + 3608/85. Determine c, given that -i*c**2 + 16/5*c + 32/5 + 2/5*c**3 = 0.
-1, 4
Factor -184/7 + 146/7*z - 6/7*z**2.
-2*(z - 23)*(3*z - 4)/7
Let h be (-3)/(-5)*(-448)/(-49 + -7)*10/12. Factor -2*f + 0 + 9/2*f**2 + 7/4*f**h + 33/4*f**3.
f*(f + 1)*(f + 4)*(7*f - 2)/4
Let i = -182 - -183. Let y be 12/60*15 + 0/i. Solve 2*t**y - 4/9*t + 10/9*t**4 + 0 - 10/9*t**2 - 14/9*t**5 = 0.
-1, -2/7, 0, 1
Let j(s) = 5*s**2 + 16*s. Let i(x) = x**2 + 2*x - 6. Let g(t) = -2*i(t) + j(t). Find k, given that g(k) = 0.
-2
Let q be -23*2/(-10) - (-2)/5. Suppose 0 = -q*t + 5*j, -5*t = j - 4*j - 4. Factor 0*i + 5*i - 4*i + 2*i**t.
i*(2*i + 1)
Let k(l) be the third derivative of -3*l**8/8960 - l**7/1680 - l**6/2160 - 13*l**5/15 - 27*l**2. Let n(o) be the third derivative of k(o). Factor n(h).
-(9*h + 2)**2/12
Let n(h) = 2*h**2 + 11*h + 44. Let r be n(-7). Find m such that 26*m + 2*m**2 + 21*m - r*m + 22*m = 0.
-2, 0
Let x = 250339/77020 + -6/19255. Suppose 1/4*v**3 + x*v - 3/2 - 2*v**2 = 0. What is v?
1, 6
Let d(s) be the first derivative of s**3/6 + 525*s**2 + 551250*s + 1615. Let d(h) = 0. What is h?
-1050
What is l in -107207*l**2 - 1824368 - 1052*l**3 - 10204449*l - 698051*l - 2*l**4 - 95096*l**2 + 17503*l**2 - 8894382 = 0?
-175, -1
Suppose 3*v - 25 = -3*k - 100, -4*k + 3*v = 65. Let h(c) = c**2 + 19*c - 20. Let a be h(k). Find x such that 0*x**2 + 2*x**2 - x**2 + a*x**2 = 0.
0
Let l(n) be the second derivative of 14*n + 588245/6*n**3 + 1/6*n**6 - 1 + 0*n**2 + 12005/4*n**4 + 147/4*n**5. Factor l(w).
5*w*(w + 49)**3
Let k(g) be the first derivative of 8*g**5/9 - 161*g**4/18 + 218*g**3/9 - 8*g**2/9 - 32*g/9 + 1170. What is z in k(z) = 0?
-1/5, 1/4, 4
Let i(l) be the second derivative of -l**5/30 + l**4/4 + 4*l**3/3 + 21*l**2/2 - 84*l. Let u(h) be the first derivative of i(h). Factor u(q).
-2*(q - 4)*(q + 1)
Let f = 2/95101 + 95081/951010. Factor -36/5 - 13/10*g**3 + f*g**4 - 6/5*g + 23/5*g**2.
(g - 6)**2*(g - 2)*(g + 1)/10
Let a be (-7 + (-2125)/51 + (2 - -10))/(-1). Suppose 25/6*l + a*l**2 - 10/3 = 0. Calculate l.
-4/11, 1/4
Suppose 10*z = -608 + 2368. Let b = z - 2990/17. Solve -4/17*j**3 - b*j**2 + 4/17*j + 2/17 = 0.
-1, -1/2, 1
Let c(d) be the second derivative of 7*d**6/120 + 2021*d**5/80 + 719*d**4/24 - 24*d**3 - 117*d + 51. Find w, given that c(w) = 0.
-288, -1, 0, 2/7
Let p(s) be the third derivative of -s**7/70 + 3*s**6/8 - 9*s**5/5 - 35*s**4/2 - 230*s**2 - s + 1. Suppose p(g) = 0. Calculate g.
-2, 0, 7, 10
Let x = 1103 - 1099. Let i(y) be the third derivative of y**3 + 0 + 2*y**2 + 0*y - 1/60*y**5 - 1/24*y**x. Factor i(v).
-(v - 2)*(v + 3)
Let k(v) be the second derivative of -7*v**5/20 + 17*v**4/4 - 14*v**3 + 10*v**2 + 50*v - 55. Find f, given that k(f) = 0.
2/7, 2, 5
Let m(i) be the second derivative of -1/4*i**4 + 3/8*i**3 + 0 + 27/4*i**2 - 48*i - 3/80*i**5. Solve m(d) = 0.
-3, 2
Let g(x) be the second derivative of -x**4/48 - 1427*x**3/12 - 2036329*x**2/8 + 1814*x. What is l in g(l) = 0?
-1427
Let y(d) be the first derivative of 17*d - 1/54*d**4 - 34 - 1/3*d**2 - 4/27*d**3. Let o(i) be the first derivative of y(i). Factor o(v).
-2*(v + 1)*(v + 3)/9
Let n(i) = 2*i**2 - 3*i + 2. Let a be n(0). Suppose 5 = 4*d - 15. Determine z so that -5*z**a + z**2 - 5 - z**4 + 13 + d*z**3 - 4*z - 2*z**2 = 0.
-1, 2
Suppose 3 = -3*r, 10 = 5*v + r + 1. Factor -25*y - 11*y**3 + 9434 - 9434 + 35*y**v + y**4.
y*(y - 5)**2*(y - 1)
Let b(o) be the second derivative of -o**7/63 - 538*o**6/45 - 7396*o**5/3 - 215464*o**4/9 - 853328*o**3/9 - 566048*o**2/3 + 1361*o - 1. Solve b(p) = 0 for p.
-266, -2
Let n(x) be the first derivative of -2*x**3/63 + 131*x**2/21 + 76*x/3 + 1459. Find c such that n(c) = 0.
-2, 133
Let n be 13 - -8 - (-1 + 3 - 1). Determine i, given that 8*i**2 + 24*i**3 - 175*i + 12 - n*i**4 - 13*i**5 + 147*i + 17*i**5 = 0.
-1, 1, 3
Let u(j) = -j**3 - 13*j**2 - 20*j. Let m(z) = z**2 + z. Suppose -3*q - 2*q = 10, -3*d = 3*q + 9. Let s(r) = d*u(r) - 5*m(r). Solve s(f) = 0 for f.
-5, -3, 0
Let j(c) = c**3 + c**2 + c. Let u(v) be the first derivative of 15*v**4/4 - 4*v**3/3 + 2*v**2 + 151. Let s(h) = 24*j(h) - 3*u(h). Factor s(m).
-3*m*(m - 2)*(7*m + 2)
Let w = 3562 - 14247/4. Let u(x) be the second derivative of 1/2*x**3 + 0 + 0*x**2 - w*x**4 - 22*x. Suppose u(f) = 0. What is f?
0, 1
Let k(l) be the first derivative of l**6/2 - 363*l**5/5 - 741*l**4/2 - 746*l**3 - 1497*l**2/2 - 375*l + 4227. Solve k(n) = 0.
-1, 125
Let l(g) = -115*g - 342. Let s be l(-3). Let c(r) be the first derivative of 1/22*r**4 + 2/33*r**s - 2/55*r**5 + 0*r - 1/11*r**2 - 15. Factor c(n).
-2*n*(n - 1)**2*(n + 1)/11
Let j = -101706 + 101706. Factor 4/7*c**2 + j*c - 16/7.
4*(c - 2)*(c + 2)/7
Let v = -77907 - -233725/3. Factor 2/3*m**3 - 2*m - v*m**2 + 0.
2*m*(m - 3)*(m + 1)/3
Suppose 3690 = 40*n - 3750. Suppose -23*c = n - 255. Factor -1/6*h**4 - 1/2*h**c + 1/6*h**2 + 0 + 1/2*h.
-h*(h - 1)*(h + 1)*(h + 3)/6
Let a(h) = h**2 - 41571*h + 290950. Let o be a(7). Let 20/7*t**4 + 12/7*t + 0 - 58/7*t**3 - 10/7*t**o = 0. Calculate t.
-1/2, 0, 2/5, 3
Suppose -3*z = 2*z + 4*o - 880, -4*z - o + 704 = 0. Let v = z + -174. Factor 3*s**v + s + 5/3*s**3 - 1/3.
(s + 1)**2*(5*s - 1)/3
Let d(m) = m**3 - 5*m + 7. Let a(f) = f**2 - 1. Let t(n) = 4*a(n) + d(n). Let w be t(-5). Factor -6*l**2 + 12*l + w + 0 - 9*l**2.
-3*(l - 1)*(5*l + 1)
Let h = -113750/3 + 38402. Let r = h - 485. Find t, given that r*t**2 + 1/6*t**5 + 1/3*t**3 + 1/6 - 1/2*t - 1/2*t**4 = 0.
-1, 1
Let y(p) be the first derivative of -5*p**6/18 - 19*p**5/2 - 135*p**4/8 + 5*p**3/18 + 45*p**2/4 - 9140. Solve y(r) = 0.
-27, -1, 0, 1/2
Let b(y) be the first derivative of 2*y**6/3 - 52*y**5/5 - 81*y**4 - 620*y**3/3 - 248*y**2 - 144*y + 1487. Factor b(d).
4*(d - 18)*(d + 1)**3*(d + 2)
Let o(k) be the first derivative of -k**3 + 711*k**2/2 + 714*k + 566. Factor o(i).
-3*(i - 238)*(i + 1)
Let a(r) = -r**2 + 109*r - 306. Let k(q) = -q**2 + 4*q - 1. Let f(t) = a(t) - 6*k(t). What is z in f(z) = 0?
-20, 3
Let q(i) = -9*i + 131. Let g be q(14). Let t(a) be the first derivative of 