 + 2*p**2. Suppose o(m) = 0. Calculate m.
-1, 1
Let f(r) = -r**2 - 3*r - 1. Let j be f(-4). Let s = -1 - j. What is h in 5*h + h**3 - s*h + 9*h + 16 - 7*h**2 - 2*h = 0?
-1, 4
Let p be (22240/(-12510))/((-2)/3). Factor 0 - 4/3*o + 2/3*o**4 + 10/3*o**2 - p*o**3.
2*o*(o - 2)*(o - 1)**2/3
Let l(y) be the third derivative of 1/12*y**4 + 1/360*y**5 + 0 + 0*y**3 - 1/60*y**6 - 3*y**2 + 19*y - 1/1260*y**7. Factor l(i).
-i*(i - 1)*(i + 1)*(i + 12)/6
Let v(u) be the second derivative of 3*u**5/160 + 75*u**4/32 + 53*u**3/4 - 54*u**2 - 22*u + 165. Factor v(i).
3*(i - 1)*(i + 4)*(i + 72)/8
Let p(r) be the second derivative of r**7/98 - 22*r**6/35 + 789*r**5/70 - 33*r**4 + 63*r**3/2 + 3*r + 167. Factor p(v).
3*v*(v - 21)**2*(v - 1)**2/7
Let a(t) be the second derivative of t**5/100 + 41*t**4/60 - t**3/30 - 41*t**2/10 - 3090*t. Factor a(n).
(n - 1)*(n + 1)*(n + 41)/5
Let g = -33436 - -33439. Let m(a) be the first derivative of -8*a - 38 - 5*a**2 - 2/3*a**g. Determine t so that m(t) = 0.
-4, -1
Let o(s) = s**3 - 10*s**2 - 164*s + 1682. Let f be o(12). Find y, given that 0 - 6*y**3 + 1/3*y**4 + 0*y - 19/3*y**f = 0.
-1, 0, 19
Let k(s) = 8*s + 52. Let m be k(-7). Let q(l) = l**2 - l. Let p(d) = 1 - 16*d - 1. Let j(v) = m*q(v) + p(v). Suppose j(y) = 0. Calculate y.
-3, 0
Factor 11*u - 13*u - 21270*u**2 + 21269*u**2 + 3.
-(u - 1)*(u + 3)
Let a(l) be the second derivative of l**7/42 - 43*l**6/30 + 41*l**5/20 + 43*l**4/12 - 7*l**3 - 925*l. Find d such that a(d) = 0.
-1, 0, 1, 42
Suppose 61 - 11 = 25*x. Let 5*o + 22 - 3*o**x - 28 + 4*o = 0. Calculate o.
1, 2
Suppose -4*y - h + 3 = 0, 46 = -y - 5*h + 23. Let k = -1594 + 1597. Suppose 2/9*t**k - 4/9*t**y + 2/9*t + 0 = 0. Calculate t.
0, 1
Let c(y) be the second derivative of 2*y**5/75 + 11*y**4/90 - 2*y**3/15 - 3*y**2/5 + 6237*y. Factor c(v).
2*(v - 1)*(v + 3)*(4*v + 3)/15
Let w(j) be the second derivative of 51*j + 0*j**3 - 1/5*j**5 + 0 - 2/3*j**4 + 2/15*j**6 + 0*j**2. Factor w(p).
4*p**2*(p - 2)*(p + 1)
Let y be (-1*3/7)/((-363)/2420). Suppose 0 = -4*t + 2*r + 14, -5*r - 28 = -2*t - 9. Determine l so that 4/7*l**t + 0 - y*l = 0.
0, 5
Let p = -3849/4 - -404149/420. Let b(y) be the third derivative of 0*y + 0*y**3 - 1/150*y**5 + 22*y**2 + 0 + 0*y**4 - 1/75*y**6 + p*y**7. Factor b(w).
2*w**2*(w - 1)*(5*w + 1)/5
Determine a so that 236/5*a**2 - 2/15*a**5 - 112 - 10/3*a**3 + 232/15*a - 24/5*a**4 = 0.
-35, -3, -2, 2
Let h = -493921/6 - -247001/3. Factor 3/4*p**2 - 57/4 - h*p.
3*(p - 19)*(p + 1)/4
Let h(z) be the third derivative of z**5/120 - 361*z**4/12 + 130321*z**3/3 - 21*z**2 - 74. Factor h(x).
(x - 722)**2/2
Let k(p) be the first derivative of -p**8/4200 + p**6/225 + 2*p**3 + p**2/2 - 78. Let o(g) be the third derivative of k(g). Factor o(j).
-2*j**2*(j - 2)*(j + 2)/5
Let j(a) be the first derivative of a**3/12 - 377*a**2/8 + 94*a + 1386. Factor j(n).
(n - 376)*(n - 1)/4
Suppose 13*z - 811 = 905. Factor 3940*o**2 + o**5 - 56 - 1311*o**2 - 1352*o**2 - 1341*o**2 - 5*o**5 - z*o + 24*o**4 + 40*o**3.
-4*(o - 7)*(o - 2)*(o + 1)**3
Let a be ((-28)/(-8))/(1/(-12)). Let t be (57/(-21) + 3)/(a/(-49)). Suppose t*d**2 + d + 2/3 = 0. Calculate d.
-2, -1
Factor -201*x + 280 - 2*x**3 - x**3 + 110 + 4*x**3 + 2*x**3 - 192*x**2.
3*(x - 65)*(x - 1)*(x + 2)
Let m(n) be the third derivative of n**8/1680 + 7*n**7/150 + 931*n**6/600 + 343*n**5/12 + 4802*n**4/15 + 33614*n**3/15 - 212*n**2 - 2. What is r in m(r) = 0?
-14, -7
Let j(l) be the third derivative of -l**5/210 - 173*l**4/84 - 172*l**3/21 - 2*l**2 + 3178*l + 1. Determine d so that j(d) = 0.
-172, -1
Let a(g) = -36*g**2 + 3024*g - 678. Let w(i) = 18*i**2 - 1514*i + 340. Let d(l) = 8*a(l) + 14*w(l). Factor d(u).
-4*(u - 83)*(9*u - 2)
Let f(a) be the second derivative of -533*a**4/16 - 267*a**3/4 - 3*a**2/8 - 1429*a. Find r, given that f(r) = 0.
-1, -1/533
Let z = 84148 + -84119. Find c such that 58/5*c**2 - 1/5*c**5 + 18/5*c**3 + 15 - c**4 - z*c = 0.
-5, 1, 3
Let f(x) be the third derivative of -x**8/84 + 634*x**7/105 - 3097*x**6/3 + 641162*x**5/15 + 27108587*x**4/6 + 349181074*x**3/3 + 10190*x**2. Factor f(m).
-4*(m - 113)**3*(m + 11)**2
Let d(l) = l**5 + 2*l**4 + l**2 - l + 1. Let p(g) = 2*g**5 + 2*g**4 - 4*g**3 + g**2 - g + 1. Let i(z) = 5*d(z) - 5*p(z). Factor i(j).
-5*j**3*(j - 2)*(j + 2)
Let r(p) = -3*p**3 - 78*p**2 + p + 28. Let q be r(-26). Let j be q + (-5)/3 - (-128)/48. Factor 0*f**2 - 24/5*f + 2/5*f**j + 32/5.
2*(f - 2)**2*(f + 4)/5
Factor 1275/2*x - 5/2*x**2 - 1265.
-5*(x - 253)*(x - 2)/2
Suppose 3*h = -4*g + 19, h + 7 = 190*g - 193*g. Let l(o) be the second derivative of -5/6*o**3 + 5/3*o**2 - h*o + 5/36*o**4 + 0. What is j in l(j) = 0?
1, 2
Let q(m) be the second derivative of -m**6/135 - m**5/30 + 2*m**4/3 - 32*m**3/27 - 589*m. Suppose q(j) = 0. Calculate j.
-8, 0, 1, 4
Let v = 242114 - 242110. Suppose 1/2*q**3 - v - 15/2*q - 3*q**2 = 0. Calculate q.
-1, 8
Let w = 19/5444 - -43305/70772. Factor w - 2/13*n**2 + 6/13*n.
-2*(n - 4)*(n + 1)/13
Suppose 85*r - 28*r = 15 + 99. Factor 26/3*i**3 + 70/3*i**4 - 98/3*i**5 + 2/3*i**r + 0 + 0*i.
-2*i**2*(i - 1)*(7*i + 1)**2/3
Let z = 163 - 162. Let k be 108/28 + 7 + -4*z. Factor 72/7*i**2 + 24/7*i**3 + k + 3/7*i**4 + 96/7*i.
3*(i + 2)**4/7
Let h(k) be the second derivative of k**4/42 + 31*k**3/7 + 92*k**2/7 + 1451*k. Suppose h(p) = 0. Calculate p.
-92, -1
Let f(c) = 121*c**2 + 3*c - 4. Let q be f(1). Factor -43 + 8 + 8*o**3 - 5*o**4 - q*o**2 - 58*o**3 - 110*o.
-5*(o + 1)**3*(o + 7)
Let j(f) be the third derivative of f**9/181440 + f**8/12096 - f**7/2520 - 37*f**5/30 + 9*f**2 - 5*f. Let n(y) be the third derivative of j(y). Factor n(l).
l*(l - 1)*(l + 6)/3
Factor -48/5*t - 1/5*t**3 - 4*t**2 + 576/5.
-(t - 4)*(t + 12)**2/5
Let q(g) be the third derivative of -g**6/180 + 17*g**5/210 + 7*g**4/6 - 88*g**3/63 + 1837*g**2. Determine s so that q(s) = 0.
-4, 2/7, 11
Let p = 75 + -54. Let a = p + -16. Factor 3*j**4 + 249*j**3 + 2 - 3*j**2 + 3*j**a - 252*j**3 - 2.
3*j**2*(j - 1)*(j + 1)**2
Factor -70*j - 946*j**2 - 9*j**3 - 26*j + j**4 + 942*j**2 + 105*j**3 + 3*j**4.
4*j*(j - 1)*(j + 1)*(j + 24)
Factor -2*a**2 - 22*a - 1084 - 1099 - 1099 + 4350 - 1088.
-2*(a + 1)*(a + 10)
Let h(w) be the third derivative of -w**6/24 - 80*w**5 - 64000*w**4 - 81920000*w**3/3 + 401*w**2. Determine i so that h(i) = 0.
-320
Let k(t) be the second derivative of t**4/18 + 17*t**3/9 + 10*t**2 + 1492*t + 1. Factor k(d).
2*(d + 2)*(d + 15)/3
Suppose -3*h - 8 + 16 = -2*w, 2*h = 4*w. Factor -3*r**w + 0*r**2 + 0*r**2 - 18*r + 60*r.
-3*r*(r - 14)
Let q(l) = -34*l**3 + 15*l + 14. Let i be q(-1). Let b be (-2)/(-4) + i/198. Let -b*j**2 + 4/3*j - 2/3*j**3 + 0 = 0. Calculate j.
-2, 0, 1
Let o be -2*(190/(-2850))/(2/27). Factor 9/5 + o*r**2 - 6*r.
3*(r - 3)*(3*r - 1)/5
Let r(x) be the first derivative of 2*x**3/21 + 38*x**2/7 + 30*x - 7434. Factor r(d).
2*(d + 3)*(d + 35)/7
Let r(v) = 4*v**3 + 601*v**2 + 1172*v + 566. Let i(j) = -j**3 - 150*j**2 - 293*j - 142. Let o(s) = 9*i(s) + 2*r(s). What is m in o(m) = 0?
-146, -1
Let w(l) be the second derivative of 9*l**4/40 + 79*l**3/30 - 6*l**2/5 - 4535*l. Factor w(v).
(v + 6)*(27*v - 4)/10
Let j(y) = 2*y**2 - 9*y - 5. Let q(v) = -v**3 + 9*v**2 + 3*v + 5. Let i be q(10). Let x = -55 - i. Let z(l) = -l - 1. Let w(b) = x*z(b) - 2*j(b). Factor w(d).
-4*d*(d - 2)
Let r(y) = y**3 - 3*y**2 - 29*y - 2. Suppose -9 = -3*c + 4*u - 17, -5*u - 25 = 5*c. Let g be r(c). Factor -m**g + 0 - m**3 - 1/4*m**4 + 0*m.
-m**2*(m + 2)**2/4
Let c = -79710 + 79713. Solve -3/2 + 71/4*n + 106*n**c - 287/4*n**2 - 28*n**4 = 0.
1/4, 2/7, 3
Let i = 29273 - 29271. Factor 1/3*n**3 - 7/3 - 1/3*n + 7/3*n**i.
(n - 1)*(n + 1)*(n + 7)/3
Let y be 15/420*7 + 1517/(-4). Let n = y + 379. Factor 1/5*b**5 + 0*b + n*b**3 + 0*b**4 + 0*b**2 + 0.
b**5/5
Let w(l) = -l**3 - 183*l**2 + 2693*l + 2879. Let h(o) = -6*o**3 + 8890 + 5504 - 1877*o + 15341*o - 915*o**2. Let g(n) = 4*h(n) - 21*w(n). Solve g(k) = 0 for k.
-1, 31
Let m(k) = -k**2 + k + 6. Let q be m(3). Suppose q*t = 4*t - 28. Factor -i**3 + 4 - 5*i**2 + 0*i**3 + 2*i**3 - 7*i + t*i**2.
(i - 1)**2*(i + 4)
Let r = 216463/3 + -72153. Find v such that -664/3*v**2 + 384 + 128*v + 100/3*v**3 - r*v**4 = 0.
-1, 2, 12
Let q be 92/(-4140)*(-70)/4. Let v(m) be the first derivative of 0*m**2 + 0*m**3 + q*m**6 + 15 + 1/6*m**4 + 0*m + 3/5*m*