 + 445660. Factor 32/9 - 26/3*d**2 - k*d - 8/9*d**3.
-2*(d + 2)*(d + 8)*(4*d - 1)/9
Let o = 154 + -138. Let v(q) = q**3 - 16*q**2 - q + 16. Let k be v(o). Factor 0*r + k + 1/8*r**2.
r**2/8
Factor 4/7 - 22/7*h**2 + 6*h.
-2*(h - 2)*(11*h + 1)/7
Let u(j) be the first derivative of j**6/240 + j**5/160 - j**4/96 - j**3/48 - 43*j + 44. Let h(c) be the first derivative of u(c). Let h(s) = 0. Calculate s.
-1, 0, 1
Let j = 39 + -99. Let t = 54 + j. Let m(q) = -q**2 - 1. Let y(c) = -5*c**2 + 3*c - 6. Let k(z) = t*m(z) + y(z). Factor k(o).
o*(o + 3)
Let d(j) be the first derivative of j**6/180 - 13*j**5/90 + 6*j**2 - 167. Let s(n) be the second derivative of d(n). Factor s(k).
2*k**2*(k - 13)/3
Determine r so that 40*r**4 + 198*r + 285*r**2 + 15*r**2 + 39768*r**3 - 15*r**5 - 39818*r**3 - 125*r**4 + 160 + 242*r = 0.
-4, -2, -1, -2/3, 2
Let v(m) be the second derivative of -m**6/15 + m**5/2 - m**4/3 - 20*m**3/3 + 24*m**2 + 1179*m - 4. Find y, given that v(y) = 0.
-2, 2, 3
Let p be 10/35 + (-26)/91. Let c be (p + 56/60)/((-4)/(-5)). Factor 4/3*y - c - 1/6*y**2.
-(y - 7)*(y - 1)/6
Let q(j) be the second derivative of -j**4/12 - 1331*j**3/6 + 666*j**2 - 9811*j. Factor q(t).
-(t - 1)*(t + 1332)
Let h be 42/(-60) - (8 + 162/(-10) + 7). Let y(i) be the first derivative of h*i**2 - 11 - 1/3*i**3 + 0*i. Factor y(w).
-w*(w - 1)
Let n(d) = -d**3 + 20*d**2 - 20*d + 22. Let u be n(19). Let 6*j - 2*j**2 - 12*j**u + 5*j**2 - 4*j**3 + 13*j**3 = 0. What is j?
-1, 0, 2
Let r(y) = -511*y - 3574. Let f be r(-7). Let t(l) be the second derivative of 0 - 56*l**2 - 16*l**f + 1/5*l**5 - l**4 - 12*l. Let t(w) = 0. Calculate w.
-2, 7
Let x(f) be the first derivative of -f**6/300 + f**5/75 + f**4/12 - 2*f**3/5 + 12*f**2 - 94. Let i(z) be the second derivative of x(z). Factor i(c).
-2*(c - 3)*(c - 1)*(c + 2)/5
Let m be 24/(-180) + 4132/(-60). Let q be 5/3 - m*1/(-63). Determine a, given that 0 + q*a**3 - 2/7*a**4 + 0*a + 0*a**2 = 0.
0, 2
Let x(s) be the second derivative of -2/9*s**4 - 4/9*s**3 + 1/45*s**6 - 4*s + 1/30*s**5 + 0*s**2 - 8. Find k such that x(k) = 0.
-2, -1, 0, 2
Let l(z) be the second derivative of -2 + 1/16*z**4 - 5*z + 45/8*z**2 + z**3. Determine k so that l(k) = 0.
-5, -3
Let p(u) = 6*u**3 - 57*u**2 - 6*u + 2586. Let x(n) = -n**3 + n**2 + 2*n + 2. Let m(q) = -p(q) - 3*x(q). Factor m(z).
-3*(z - 12)**2*(z + 6)
Find n, given that 400/11 + 604/11*n**2 - 2/11*n**5 - 920/11*n - 50/11*n**3 - 32/11*n**4 = 0.
-10, 1, 2
Let v(w) be the second derivative of -w**4/48 + 11*w**3/3 + 273*w**2/8 + 21*w - 24. Find m such that v(m) = 0.
-3, 91
Let o = 28656 + -200588/7. Suppose 16/7 - o*n**2 - 40/7*n + 10/7*n**3 = 0. Calculate n.
-2, 2/5, 2
Let k(y) = y**5 - y**4 + 2*y**3 - y**2 + 1. Let n(t) = -7*t**5 + 926*t**4 - 211612*t**3 + 6*t**2 - 6. Let b(i) = 6*k(i) + n(i). Find m such that b(m) = 0.
0, 460
Let p be 4/((-35)/5 + 9). Factor 32*c + c**5 - c**4 + 32*c**p - 6*c**3 - 6*c**4 - 2*c**5.
-c*(c - 2)*(c + 1)*(c + 4)**2
Let a(k) be the third derivative of k**6/840 + 61*k**3/3 + 85*k**2. Let n(r) be the first derivative of a(r). Let n(b) = 0. What is b?
0
Let m(w) be the second derivative of 2/21*w**7 + 0 + 65*w + 2/5*w**5 - 8/15*w**6 + 0*w**2 - 2*w**3 + 4/3*w**4. Suppose m(v) = 0. What is v?
-1, 0, 1, 3
Factor -339 + 201*w + 272*w**2 - 566*w**2 - 51 + 291*w**2.
-3*(w - 65)*(w - 2)
Let t(c) = c**2 - 9*c + 11. Let k be t(8). Let i be k/2 - 11/(-22). Solve 0*a**2 - 3*a**i - 1 + 9*a - 5 + 0 = 0 for a.
1, 2
Let d(i) be the second derivative of -i**5/4 - 25*i**4/24 - 5*i**3/3 + 13*i**2/2 - 7*i. Let m(k) be the first derivative of d(k). Factor m(n).
-5*(n + 1)*(3*n + 2)
Let q(o) be the third derivative of 0*o - 1 - 1/70*o**7 + 1/2*o**4 - 5/2*o**3 - 1/10*o**6 - 67*o**2 + 3/10*o**5. What is d in q(d) = 0?
-5, -1, 1
Let x(w) = -w**3 + 6*w**2 + 7. Let a be x(6). What is i in -17*i + 14*i + 4*i**2 + a*i - 36*i = 0?
0, 8
Let n be (-10)/(-1) + -1 + 0 + -2. Let i(p) be the first derivative of 4/13*p**2 - n + 2/39*p**3 + 8/13*p. Solve i(z) = 0.
-2
Suppose 0 = -5*p + 373 + 537. Solve 166 - 154 + p*o**3 - 3*o**2 + 12*o - 185*o**3 = 0.
-2, -1, 2
Solve -33*j - 23*j**2 - 37*j - 20*j**2 + 38*j**2 = 0 for j.
-14, 0
Suppose 71*w**2 + 209*w - 2612 - 44*w + 3*w**3 + 2549 = 0. Calculate w.
-21, -3, 1/3
Let z = 10 - 8. Factor 8*o**z + 4 - 5 + 18*o**2 - 12*o**3 + 2*o**4 - 24*o + 9.
2*(o - 2)**2*(o - 1)**2
Let y(f) = 3*f**2 - 5*f - 18. Let m(j) = j**2 - 2. Suppose -4*i + 0*i - 2*o = 8, 5*o + 13 = -3*i. Let k(a) = i*y(a) + 2*m(a). Find x such that k(x) = 0.
-2, 7
Solve 4*q**4 - 42*q**2 + 21 - 21 - 10*q**3 + 0*q**4 + 32*q**3 = 0 for q.
-7, 0, 3/2
Suppose -5*z = -1141*s + 1137*s - 65, 13 = -4*s + z. Factor 0 + 4*a**3 + 1/4*a**4 + s*a + 15/4*a**2.
a**2*(a + 1)*(a + 15)/4
Let d(i) be the third derivative of -i**5/180 + 611*i**4/18 - 746642*i**3/9 + 5089*i**2. Factor d(k).
-(k - 1222)**2/3
Let x(i) = 1709*i**2 - 1770*i - 16. Let b(d) = 427*d**2 - 444*d - 4. Let h(c) = -22*b(c) + 6*x(c). What is v in h(v) = 0?
-2/215, 1
Let 43*m**4 + 54*m**4 + 76*m + 45 + 205*m**2 + 16*m**5 - 67 + 214*m**3 + 26 = 0. Calculate m.
-2, -1, -1/16
Let g(l) be the second derivative of -l**4/4 + l**3/2 - 3*l**2/8 - 2*l - 90. Factor g(v).
-3*(2*v - 1)**2/4
Suppose -191*o = -298*o. Let n(s) be the second derivative of -11*s - 2/15*s**6 + 0 + 1/6*s**3 + o*s**2 + 2/5*s**5 - 5/12*s**4. Suppose n(t) = 0. What is t?
0, 1/2, 1
Let y be (2/281)/((-36)/(-124425)*14). Let d = y + -2/281. Suppose -1/2 + d*h**4 + 9/4*h - 9/4*h**3 - 5/4*h**2 = 0. Calculate h.
-1, 2/7, 1
Let m(z) be the second derivative of -3*z**5/100 - 119*z**4/20 + 12*z**3 - 8*z + 342. Let m(b) = 0. Calculate b.
-120, 0, 1
Let b(r) = r**2 + 2*r - 2. Let v(f) = 16*f**2 - 28*f - 24. Let y(c) = -12*b(c) + v(c). Suppose y(l) = 0. What is l?
0, 13
Suppose z + p - 1 = 0, 2*z + 4 + 8 = 5*p. Let v be (-325)/(-26) + z/(-2). Suppose 18*t + 31 + v*t - 79 - 7*t - 3*t**2 = 0. What is t?
4
Suppose 0 = -4*k + k + 9. Factor 2*d**k - 90 - 113*d**2 + 78*d + 60*d**2 + 31*d**2.
2*(d - 5)*(d - 3)**2
Let r be (1/((-5 - 0)/1205))/(-1). Let q = -963/4 + r. Find a such that -q*a**3 + 0*a + 3/4*a**2 - 1 = 0.
-1, 2
Let n(j) be the third derivative of j**8/336 - 4*j**7/105 - j**6/4 - 8*j**5/15 - 11*j**4/24 - 371*j**2. Factor n(t).
t*(t - 11)*(t + 1)**3
Suppose -4*n + 3*m = -20, 2*n - 24 = -2*m + 7*m. Let k(j) = 2*j**3 - j - 1. Let a(x) = -7*x**3 + 24*x**2 - 46*x + 2. Let z(r) = n*k(r) + a(r). Factor z(l).
-3*l*(l - 4)**2
Suppose -2*s = -4*b - 6*s - 12, 2*b - 2*s - 10 = 0. Let q be ((96/(-15))/4)/(b/(-5)). Factor 10*d**4 - d**3 - 22*d**4 - 3*d**3 + 16*d**4 - q*d**2.
4*d**2*(d - 2)*(d + 1)
Let b be (2/(-98))/(212/(-8904)). Suppose 0*w + 1/7*w**4 - 1/7*w**3 - b*w**2 + 0 = 0. What is w?
-2, 0, 3
Let c(k) = k**2 - 41*k + 114. Let o be c(38). Factor -2/5*i**2 - 2/5*i**3 + o + 12/5*i.
-2*i*(i - 2)*(i + 3)/5
Solve 1/3*h**3 + 155 - 233/3*h + 23/3*h**2 = 0.
-31, 3, 5
Let p(k) be the third derivative of k**7/1680 - 7*k**6/720 + k**5/15 - k**4/4 + 92*k**3/3 + 242*k**2. Let q(b) be the first derivative of p(b). Factor q(x).
(x - 3)*(x - 2)**2/2
Let c(y) be the first derivative of -93*y**4/2 + 842*y**3/9 - 50*y**2 + 16*y/3 + 2206. Suppose c(s) = 0. What is s?
2/31, 4/9, 1
Let p(a) = -11*a**3 - 155*a**2 - 248*a - 55. Let j be (5*-1)/(165/(-99)). Let i(x) = 6*x**3 + 77*x**2 + 124*x + 27. Let r(t) = j*p(t) + 7*i(t). Factor r(c).
(c + 2)*(c + 6)*(9*c + 2)
Factor 2/3*w**2 - 978 + 2932/3*w.
2*(w - 1)*(w + 1467)/3
Let x = 473 - 546314/1155. Let r(s) be the third derivative of 1/165*s**6 + 1/66*s**5 + 0 + x*s**7 + 7*s**2 + 1/66*s**4 + 0*s + 0*s**3. Factor r(k).
2*k*(k + 1)**2*(k + 2)/11
Let y(h) be the second derivative of 1/180*h**6 - 1/60*h**5 + 7/6*h**3 + 0*h**2 - 1/6*h**4 + 0 + h. Let w(c) be the second derivative of y(c). Factor w(s).
2*(s - 2)*(s + 1)
Let d = 1449534/3749 + -13046/163. Solve d*l**2 - 3698/23*l**3 + 16/23 + 680/23*l = 0.
-2/43, 2
Find g, given that -7*g**2 + 31/5*g**4 - 14/5*g**5 + 2*g**3 + 4/5*g + 4/5 = 0.
-1, -2/7, 1/2, 1, 2
Let o(y) be the third derivative of -3*y**8/112 + y**7/14 + 11*y**6/20 - 13*y**5/5 + 3*y**4 - y**2 + 292. Find s, given that o(s) = 0.
-3, 0, 2/3, 2
Suppose -876*h + 6 = -873*h. Suppose -8 + 191*i**3 - h*i**4 + 10*i**2 - 96*i**3 - 95*i**3 = 0. Calculate i.
-2, -1, 1, 2
Let y(c) be the firs