 Suppose 4*j + t + 38 = 101, -2*t + 24 = 2*j. Factor -3*f - s*f + 69 - j*f + 39 + 3*f**2.
3*(f - 6)**2
Let k be 43 + 3 + -16 + -14. Let s(p) be the first derivative of 5*p**2 + 5/3*p**3 + k + 5*p. Suppose s(y) = 0. Calculate y.
-1
Let f(m) be the third derivative of 3*m**6/200 + 1333*m**5/50 + 74148*m**4/5 + 197136*m**3/5 + 638*m**2 + 3*m. Factor f(n).
3*(n + 444)**2*(3*n + 2)/5
Let a = -83 + 87. Suppose 0 = -4*g - 3*p - 3 + 4, 20 = -a*p. Factor 1/9*x**3 + 0*x**g + 0 + 0*x - 1/9*x**5 + 0*x**2.
-x**3*(x - 1)*(x + 1)/9
What is d in -4626/7*d**2 - 916628022/7 - 3566646/7*d - 2/7*d**3 = 0?
-771
Suppose o - 22 = 2. Let i = 29 - o. Suppose -2*x**i - 5*x**2 + 15*x**2 - 3*x**5 + 5*x - 34*x**4 + 24*x**4 = 0. Calculate x.
-1, 0, 1
Let -64/11*z**2 - 900/11 + 570/11*z + 2/11*z**3 = 0. Calculate z.
2, 15
Factor 80/3*x**3 + 0*x + 0 - 143/6*x**4 + 14/3*x**2.
-x**2*(11*x - 14)*(13*x + 2)/6
Let f(g) be the first derivative of g**6/30 - 13*g**5/25 + 11*g**4/10 + 2*g**3/15 - 23*g**2/10 + 11*g/5 - 1290. Factor f(t).
(t - 11)*(t - 1)**3*(t + 1)/5
Let w(n) = -36*n**4 - 6*n**4 - 100*n**3 - 12 - 12*n - 27*n**4 + 36*n**2 + 154*n**3. Let y(m) = m**4 + m - 1. Let c(a) = -w(a) + 12*y(a). Factor c(q).
3*q*(3*q - 2)**2*(3*q + 2)
Suppose 0*r**2 - 4/7*r**4 + 0*r + 0 + 16/7*r**3 = 0. What is r?
0, 4
Let u(c) = -27*c + 6. Let i be u(-1). Suppose -40*r**3 + 68*r**3 - i*r**3 + 20*r = 0. What is r?
-2, 0, 2
Let -110 - 662/3*g - 2/3*g**3 - 334/3*g**2 = 0. Calculate g.
-165, -1
Let a = -12/222811 + 23172452/2005299. Factor -70/9*k - 4/3 - 46/9*k**3 - a*k**2.
-2*(k + 1)**2*(23*k + 6)/9
Let m(l) = 2*l**5 - 21*l**4 + 25*l**3 - 5*l**2 + 1. Let d = -217 + 216. Let r(v) = -v**5 + v**4 + v**2 + 1. Let c(y) = d*r(y) + m(y). Factor c(w).
w**2*(w - 6)*(w - 1)*(3*w - 1)
Let u(h) = 9*h - 23. Let f be u(5). Suppose 2*t + 4*d - f = -2, 18 = 3*t + 2*d. Factor 22*z + 19*z**2 + 29*z**2 + z**t + 13*z**3 - 7*z + 21*z.
z*(z + 1)*(z + 6)**2
Let n be 14/49 + (-95)/(-35). Suppose m - 2*l = 3*m - 16, -n*m + 4 = -l. Factor -4/7*j**2 - 2/7*j + 0 - 2/7*j**m.
-2*j*(j + 1)**2/7
Let j = 2043 - 6125/3. Let w(r) be the first derivative of -8*r - j*r**3 + 21 - 6*r**2. Factor w(x).
-4*(x + 1)*(x + 2)
Let x be (-1736)/310 - 24/10 - (-24)/3. Factor x - 22/5*u + 2/5*u**2.
2*u*(u - 11)/5
Let v(t) be the first derivative of -1/10*t**2 + 1/20*t**4 - 2/15*t**3 - 98 + 2/5*t. Factor v(m).
(m - 2)*(m - 1)*(m + 1)/5
Let t be 3/(-4) - (-135)/36. Let l(s) be the second derivative of -1/66*s**4 + 0*s**t + 1/55*s**5 + 0 + 0*s**2 + 9*s - 1/165*s**6. Find n, given that l(n) = 0.
0, 1
Let j = 3402 + -3398. Let y(a) be the third derivative of -1/20*a**6 - 1/12*a**j + 1/105*a**7 + 0 + 0*a**3 + 0*a + a**2 + 1/10*a**5. What is x in y(x) = 0?
0, 1
Determine n, given that 10856/9*n**2 + 106/9*n**4 + 24640/9*n + 1808/9*n**3 + 15488/9 + 2/9*n**5 = 0.
-22, -4, -1
Let r(z) = 93*z + 2046. Let u be r(-22). Factor u - 7/2*b + 1/4*b**2.
b*(b - 14)/4
Find b, given that -2/5*b**4 + 576/5 + 52/5*b**2 + 384/5*b - 2*b**3 = 0.
-4, -3, 6
Let l(g) be the first derivative of 315/2*g**4 + 360*g**2 + 147/10*g**5 + 506*g**3 - 17 + 96*g. Factor l(c).
3*(c + 4)**2*(7*c + 2)**2/2
Factor -65/2*k**2 + 65/2 - 5/2*k + 5/2*k**3.
5*(k - 13)*(k - 1)*(k + 1)/2
Let a(i) be the second derivative of i**4/4 + 25*i**3/2 + 150*i**2 + 33*i + 6. Let a(x) = 0. Calculate x.
-20, -5
Find x such that -1/11*x**3 + 117/11 + 7/11*x**2 + 69/11*x = 0.
-3, 13
Find m, given that 360*m - 339445*m**4 + 339450*m**4 + 1 - 35*m**3 - 1 - 30*m**2 = 0.
-3, 0, 4, 6
Let c(i) = i**2 + 5*i + 2. Let s be 3 - (-45)/(-5 + 0). Let x be c(s). Suppose x - 12 - 9*f**2 + 1 - 3*f**3 - 9*f = 0. What is f?
-1
Let i = -305 + 305. Let g(r) be the second derivative of 1/40*r**5 - 1/8*r**3 - 15*r - 1/8*r**2 + i - 1/24*r**4 + 1/168*r**7 + 1/40*r**6. Solve g(c) = 0 for c.
-1, 1
Suppose 0 = -k - 0*k - 2*y + 10, 3*y + 3 = 3*k. Suppose -294 = -5*r + 3*c, 0 = -0*r - k*r + 4*c + 232. Factor 31 + 9 + 362*u**3 - r*u - 367*u**3 + 30*u**2.
-5*(u - 2)**3
Let i(b) be the second derivative of 2*b**6/15 + 17*b**5/5 + 100*b**4/3 + 152*b**3 + 288*b**2 - 80*b. Solve i(s) = 0 for s.
-6, -4, -1
Let a(y) be the third derivative of 1/150*y**6 + 0*y - 49/30*y**4 + 0 + 14/75*y**5 + 68/15*y**3 + 146*y**2. Factor a(o).
4*(o - 2)*(o - 1)*(o + 17)/5
Let d(r) = r**2 + 569*r + 72202. Let b be d(-378). Factor 1/4*o**5 + 5/2*o**b + 11/2*o**2 + 0 + 6*o**3 + 7/4*o.
o*(o + 1)**3*(o + 7)/4
Let v(a) = -a**3 + 3*a**2 + 6*a + 23. Let j be v(5). Let c be (1/(-20))/(94/(-30) + j). Solve -9/4*k**2 - 15/8*k + c = 0 for k.
-1, 1/6
Let f = 4574/21 - 1520/7. Factor -10*q - f*q**2 + 32/3.
-2*(q - 1)*(q + 16)/3
Suppose -2380 = -5*t - l, -773 = -t - 5*l - 273. Let k be 10/t*5 + (-8970)/(-1425). Let 0 + k*d**2 + 0*d + 2/5*d**5 - 14/5*d**4 + 16/5*d**3 = 0. Calculate d.
-1, 0, 4
Let z = 182861 - 182858. Factor 19*g - 5/2*g**z + 4 - 11/2*g**2.
-(g - 2)*(g + 4)*(5*g + 1)/2
Let s(h) = 46*h + 141. Let m be s(-3). Let g(p) be the second derivative of 1/20*p**5 - 3/4*p**m + 27*p + 0 - 1/16*p**4 + 0*p**2 + 1/120*p**6. Factor g(z).
z*(z - 2)*(z + 3)**2/4
Let c(n) = -n**4 + 3*n**3 - n**2 - 3*n - 1. Let q(v) = 7*v**4 + 126*v**3 - 882*v**2 + 1810*v - 1194. Let d(y) = -6*c(y) - q(y). Solve d(f) = 0 for f.
-150, 2
Suppose -2*v + 8 = 0, j + 8 = 3*v - 1. Factor 2*q - 9*q**4 + 323*q**j + 9*q**2 - 653*q**3 + 328*q**3.
-q*(q - 1)*(q + 1)*(9*q + 2)
Let z(b) be the first derivative of -b**5 + 25*b**3/3 - 20*b - 1506. Determine k so that z(k) = 0.
-2, -1, 1, 2
Let m = -1115231/2 + 557626. Determine t so that -11/2 - 9/2*t**2 + m*t - 1/2*t**3 = 0.
-11, 1
Suppose 3*v - 4*z - 1006 = -972, -7*v - 7 = 3*z. Suppose 11/4*p**v + 5*p - 1 = 0. What is p?
-2, 2/11
Let l(x) = 788*x - 3938. Let g be l(5). Let r(i) be the second derivative of 0 + 0*i**g + 0*i**3 + 1/6*i**4 - 1/60*i**5 - 43*i. Factor r(c).
-c**2*(c - 6)/3
Let y be (124/8 + 2)*(-452 + 500). Find b, given that -800 - 81/2*b**2 + 1/2*b**3 + y*b = 0.
1, 40
Let q = -1251 + 1493. Suppose q*v - 9 = 239*v. Factor 0 - 1/6*c**2 + 1/3*c - 1/6*c**v.
-c*(c - 1)*(c + 2)/6
Suppose -1195 + 360*z**2 - 4785*z - 150*z**2 - 230*z**2 = 0. Calculate z.
-239, -1/4
Solve 92/13*c**2 + 720/13 - 2/13*c**3 - 498/13*c = 0.
3, 40
Let l be ((-10)/(-6) + -2)/((-3)/9). Let n be (l*6*2)/(12/224). Determine w, given that -234 + n + 3*w + 12*w**2 - w = 0.
-1, 5/6
Let n = 13 + -37/3. Let s = 16276 + -16272. What is o in 2/3*o**s + 2*o - 10/3*o**2 + n*o**3 + 0 = 0?
-3, 0, 1
Let x(t) be the third derivative of -3125/6*t**3 - 1/12*t**5 + 0 + 67*t + 125/12*t**4 + t**2. Factor x(a).
-5*(a - 25)**2
Let d = -496909 + 3982617/8. Let r = -917 + d. Determine k, given that -3/8 + 9/8*k + 3/8*k**3 - r*k**2 = 0.
1
Let t(b) be the third derivative of 1/20*b**5 + 0*b - 16*b**2 - 1 - 7/8*b**4 - 9*b**3. Find k such that t(k) = 0.
-2, 9
Let l(i) be the first derivative of i**5/15 - 7*i**4/6 - 17*i**3/9 + 5*i**2 + 99. Factor l(h).
h*(h - 15)*(h - 1)*(h + 2)/3
Let d(j) be the second derivative of -12/7*j**2 + 0 - 41*j + 1/21*j**4 - 2/21*j**3. Factor d(m).
4*(m - 3)*(m + 2)/7
Let f(l) = 2*l + 6. Let i be f(-2). Factor 1358 + 3*r**3 + 895*r + 2429 - 37*r**2 - 331 + 545*r - 101*r**i.
3*(r - 24)**2*(r + 2)
Let k(b) be the second derivative of -b**7/63 + 2*b**6/5 + 107*b**5/30 + 10*b**4 + 92*b**3/9 - 589*b. Solve k(w) = 0 for w.
-2, -1, 0, 23
Let b = -702376 + 702380. Let 2/11*m**2 + 42/11 + b*m = 0. What is m?
-21, -1
Let z(d) be the first derivative of -4/57*d**3 + 4/95*d**5 - 3/19*d**2 - 1/57*d**6 + 0*d + 2/19*d**4 + 16. Let z(g) = 0. What is g?
-1, 0, 1, 3
Let o(a) = 126*a - 63*a + 50*a + 46 + 15*a**2. Let u(c) = 15*c**2 + 115*c + 45. Let l(g) = 5*o(g) - 6*u(g). Factor l(k).
-5*(k + 8)*(3*k + 1)
Factor -19*b**2 + 42*b - 17*b**2 + 40*b**2 + 288 + 66*b.
4*(b + 3)*(b + 24)
Let b(n) be the first derivative of -n**6/60 - 13*n**5/30 - 5*n**4/6 + 8*n**3 + 49*n**2/2 - 104. Let q(p) be the second derivative of b(p). Factor q(k).
-2*(k - 1)*(k + 2)*(k + 12)
Suppose -3*t - p = -3*p - 32, -44 = -5*t + p. Suppose 45 = t*h - 3*h. Factor -6*r**3 + r**4 - 3 - h*r + 15*r + 2*r**4.
3*(r - 1)**3*(r + 1)
Let m(j) be the second derivative of -j**5/10 - 7*j**4/6 - 14*j**3/3 - 8*j**2 + 46*j + 5. Factor m(l).
-2*(l + 1)*(l + 2)*(l + 4)
Let z(u) be the first derivative of -3*u**4 + 8*u**3/3 + 9*u - 4. Let a(d)