of -3 - 5*b - 8/3*b**3 - 1/21*b**7 + 32*b**2 - 14/3*b**4 + 1/15*b**6 + 7/5*b**5. Factor k(f).
-2*(f - 2)**3*(f + 1)*(f + 4)
Let d(q) = -q**2 - 2. Let k(p) = -18*p**2 - 108*p - 134. Let r(y) = -10*d(y) + 5*k(y). Let f(j) = 3*j**2 + 20*j + 24. Let w(m) = 55*f(m) + 2*r(m). Factor w(c).
5*(c + 2)**2
Let v = -2198 - -506. Let q be 517/v + 6/8. Factor 1/9*u**2 + 1/3 - q*u.
(u - 3)*(u - 1)/9
Let t = -117164 + 117167. Determine z, given that -3/2*z**t + 0 + 0*z**2 - 3/4*z**4 + 0*z = 0.
-2, 0
Let u be (((-20)/14)/5)/(2/(-14)). Let x(z) = -z**3 + 11*z**2 + 2*z - 19. Let l be x(11). Factor 4 + u*c**3 + c - 10*c + 0*c + l*c.
2*(c - 1)**2*(c + 2)
Suppose 4*z = -2*q - 108, -3*q - z + 54 = -4*q. Let b be 12/q - 64/(-72). Factor 1/3*k**4 + 1/3*k**2 - b + k - k**3.
(k - 2)*(k - 1)**2*(k + 1)/3
Let q(i) = -i - 12. Let a be q(-10). Let d be a/4*13/(78/(-36)). Factor d*c**3 + c**2 + c**4 + 2*c + c**2 + c**2 - c.
c*(c + 1)**3
Factor 10670*k**3 - 669*k**2 + 10756*k**3 - 414 + 3*k**4 - 957*k - 21549*k**3.
3*(k - 46)*(k + 1)**2*(k + 3)
Let w be 3/(-2)*(-17 + 16). Suppose -3*a = 71*a - 12*a. Let w*q**2 + 0*q + 9/4*q**3 + a + 3/4*q**4 = 0. What is q?
-2, -1, 0
Let q be (-114)/14*((-2303)/(-63) - 37). Determine k so that -2/21*k**2 + q*k - 722/21 = 0.
19
Let p(q) be the second derivative of q**5/110 + 5*q**4/66 - 73*q**3/33 - 7*q**2 - q - 64. Determine c, given that p(c) = 0.
-11, -1, 7
Let t be (-16)/28*(-84)/(-24). Let y be 1*-1*(17/t - -8). Factor -3/2*a + y + 1/2*a**5 + a**2 - 3/2*a**4 + a**3.
(a - 1)**4*(a + 1)/2
Suppose -1318/5*w**2 + 876/5*w + 6/5*w**3 + 0 = 0. What is w?
0, 2/3, 219
Let p = -110 + 115. Suppose 5*o = -m - 2*m + 7, m - p = o. Factor -4*r**2 + 15*r**4 - 15*r**4 + 4*r**m.
4*r**2*(r - 1)*(r + 1)
Let c(f) be the second derivative of -4 + 5*f - 5*f**2 - 1/18*f**4 + 8/9*f**3. Find v such that c(v) = 0.
3, 5
Let l(n) = -n**2 - 124*n + 480. Let d(c) = 2*c**2 + c - 2. Let p(j) = d(j) + l(j). Let v be p(4). Solve -2/15*y**3 + 0*y + 0 + 0*y**v = 0.
0
Suppose 0 = 2*z - 3*y - 107, -2*y + 165 = 3*z - 5*y. Suppose p**5 + z*p**3 + 32*p**4 - 42*p**4 + 25*p**4 + p**5 + 15*p**4 + 324*p - 414*p**2 = 0. What is p?
-9, 0, 1, 2
Suppose 6*u - 2*u - 4*s - 12 = 0, -2*s - 15 = -5*u. Factor 9*k**5 - 99*k**3 - 25*k**4 - 3*k**2 + 7*k**2 + 111*k**u.
k**2*(k - 2)*(k - 1)*(9*k + 2)
Let j = 613399/18636 + 3/1553. Let b = -129/4 + j. Solve -2*s + 4/3 + b*s**2 = 0 for s.
1, 2
Suppose -14*b + 912 = -7348. Let n = b + -588. Solve 1/3*t**3 - n + 2*t**2 - 1/3*t = 0 for t.
-6, -1, 1
Let m(p) = -p**2 - 1. Suppose 0 = -5*y - 5 + 15. Let u(l) = -14*l - 6*l**y - 3*l**2 - 7 + 5*l**2 - 5*l**2. Let n(v) = 3*m(v) - u(v). Factor n(d).
2*(d + 2)*(3*d + 1)
Let b(a) be the third derivative of -a**6/420 + 17*a**5/210 - 11*a**4/21 + 4*a**3/3 + 847*a**2 - 1. Factor b(c).
-2*(c - 14)*(c - 2)*(c - 1)/7
Solve -31/2*q**2 + 15*q + 0 + 1/2*q**3 = 0 for q.
0, 1, 30
Let r(y) be the second derivative of -y**4/28 - 296*y**3/7 + y + 2045. Let r(z) = 0. What is z?
-592, 0
Let t(d) be the second derivative of 152/3*d**3 + 26*d**4 - 4*d + 11 + 32*d**2 - 5/3*d**6 - 7*d**5. Solve t(v) = 0.
-4, -2/5, 2
Let v be 340/12 + (-1)/(3/(-2)). Find j such that 3*j**2 - 27*j - 52*j - v*j + 248 + 6*j + 619 = 0.
17
Let l be (-1 - 1)*(-29)/58. Let o be ((-17)/(-153))/(l/6). Suppose -o*h**2 + 4/3*h - 2/3 = 0. Calculate h.
1
Let d be -3*(-1)/(7 + -56)*-7. Let 0 - d*j**3 + 9/7*j + 6/7*j**2 = 0. What is j?
-1, 0, 3
Suppose r = -4*c, -c + 43 = 4*r + 13. Let y = -16 + 27. Factor -2*h**4 - y*h**2 - r*h**3 + 15*h**2 + 2*h**3 - 8*h**2.
-2*h**2*(h + 1)*(h + 2)
Let o(p) be the third derivative of p**6/1440 + 3*p**5/160 + 7*p**4/48 + 65*p**3/6 - 2*p**2 + p. Let b(m) be the first derivative of o(m). Factor b(y).
(y + 2)*(y + 7)/4
Let h(x) = -11*x**2 + 118*x + 240. Let z(d) = 4*d**2 - 39*d - 79. Let l(c) = -3*h(c) - 8*z(c). Factor l(j).
(j - 44)*(j + 2)
Let v(c) be the first derivative of -5*c**6/6 - 4*c**5 + 45*c**4/2 - 100*c**3/3 + 35*c**2/2 - 2785. Find s such that v(s) = 0.
-7, 0, 1
Determine f so that 22*f - 130/3*f**2 + 0 + 2/3*f**4 + 62/3*f**3 = 0.
-33, 0, 1
Let s = 4 + -2. Suppose -3*g + 4*m + 15 = -s*g, -12 = 4*m. Factor 7*a**2 + 0*a**2 + 3*a**2 + g*a**3 - 7*a**2.
3*a**2*(a + 1)
Let u = -434 - -436. Find x, given that 2*x**2 - 158*x**3 - 32*x**u + 163*x**3 = 0.
0, 6
Let s(b) = 4*b + 4*b + 7*b + 31 + 5*b - 17*b. Let w be s(-9). Factor 0*q + 4/3*q**2 + 2*q**3 + 2/3*q**w + 0.
2*q**2*(q + 1)*(q + 2)/3
Let b(m) be the second derivative of m**7/105 + m**6/40 + m**5/60 - 47*m**2 + 97*m. Let l(d) be the first derivative of b(d). Solve l(t) = 0.
-1, -1/2, 0
Suppose -10*q - 40 = -60. What is m in 3*m**2 + 15*m**3 - 27*m**3 + m - m**4 - q + 11*m**3 = 0?
-2, -1, 1
Let a(y) be the second derivative of y**5/120 + 2*y**4/3 + 85*y**3/4 + 2023*y**2/6 + 5*y + 30. Factor a(x).
(x + 14)*(x + 17)**2/6
Let p be (11470/186 - 62)*0. Find n such that 1472/3*n**2 + 1256/9*n**3 - 304/9*n**4 + p + 128*n + 14/9*n**5 = 0.
-2, -2/7, 0, 12
Let v(k) be the third derivative of k**7/1890 - 13*k**6/1080 - 7*k**5/60 - 83*k**4/216 - 17*k**3/27 - 1147*k**2. Factor v(m).
(m - 17)*(m + 1)**2*(m + 2)/9
Let i(q) be the second derivative of -64*q**2 + 22/3*q**4 + 19*q - 16/15*q**6 - 13/5*q**5 + 64/3*q**3 - 2/21*q**7 + 3. Determine o, given that i(o) = 0.
-4, -2, 1
Suppose -1161*p = -1181*p. Let c(x) be the first derivative of 0*x**2 - 4/3*x**3 + 3/4*x**4 + 1/5*x**5 + p*x + 16. Determine w so that c(w) = 0.
-4, 0, 1
Let r(j) be the first derivative of -j**4/3 + 16*j**3/3 - 32*j**2 + 4*j + 144. Let q(b) be the first derivative of r(b). Factor q(p).
-4*(p - 4)**2
What is f in 14*f + 18 - 207 - f**5 - 110*f**3 + 97*f + 19*f**4 - 1351*f**2 + 1521*f**2 = 0?
-1, 1, 3, 7, 9
Let k be 8 + (-104)/8 - -9. Factor -67298 + 14*h**3 - k*h**2 + 67298.
2*h**2*(7*h - 2)
Let k(s) = s**2 - 5*s - 4. Let w be k(6). Let u be 310*(-11)/550 + 3/((-3)/(-7)). Factor 3/5*j**3 + 0 + 2/5*j**4 - 1/5*j**5 - u*j**w - 4/5*j.
-j*(j - 2)**2*(j + 1)**2/5
Let l be (-1023)/42*((-9640)/2256 + 4). Let u = 3/188 + l. Factor -4/3*b**3 - u*b - 8/3 - 16/3*b**2.
-4*(b + 1)**2*(b + 2)/3
Let p(v) = v - 7. Suppose 7*h = 15*h - 72. Let c be p(h). Solve 1/4*n**4 - 3/2*n**3 + 9/4*n**c + 0 - n = 0 for n.
0, 1, 4
Let m(r) = 4*r**2 - 30*r - 15. Let a be m(9). Determine p so that 16*p - 11*p**4 - 10*p**5 - 14*p**3 + a*p**4 - 4*p**2 - 16*p = 0.
-1/5, 0, 1, 2
Let c = -247886/27 + 9181. Let k(z) be the first derivative of c*z**6 + 2/9*z**5 + 2/9*z**2 + 0*z + 11 + 14/27*z**3 + 1/2*z**4. Solve k(x) = 0.
-2, -1, 0
Let b be 1 + ((-2)/(-8) - 27/12). Let c(k) = k + 3. Let v be c(b). Let 17*h**3 + 5*h**4 + 20*h**3 - 22*h**3 - 15*h - 5*h**v = 0. Calculate h.
-3, -1, 0, 1
Let p = -1065457 - -7458243/7. Factor 2/7*r**3 - p*r + 0 - 6*r**2.
2*r*(r - 22)*(r + 1)/7
Determine t, given that -140/3*t + 64/9 - 1414/9*t**2 + 10*t**3 = 0.
-2/5, 1/9, 16
Let o(m) be the third derivative of 1/30*m**5 + 0*m - 76*m**2 - 6/35*m**6 + 0 + 1/42*m**4 + 0*m**3. Factor o(s).
-2*s*(8*s + 1)*(9*s - 2)/7
Let i(j) = -5*j**5 + 10*j**4 + 5*j**3 - 30*j**2 - 5*j - 10. Let y(x) = -2*x**5 + 5*x**4 + 2*x**3 - 17*x**2 - 3*x - 6. Let v(k) = 3*i(k) - 5*y(k). Factor v(m).
-5*m**2*(m - 1)**2*(m + 1)
Let l(w) = w**4 + 1592*w**3 - 79985*w**2 + 78804*w - 19593. Let u(r) = -796*r**3 + 39993*r**2 - 39402*r + 9797. Let d(m) = 4*l(m) + 9*u(m). Factor d(q).
(q - 99)**2*(2*q - 1)**2
Suppose 10*d - 6*d - 3*f = 22, 5*f + 26 = 4*d. Let l(g) be the first derivative of 0*g**2 + 5/3*g**5 - 10/3*g**3 + 10 - 65/12*g**d + 0*g. Solve l(y) = 0.
-2/5, 0, 3
Let h(j) = 13*j**2 + 14*j - 29. Let f(g) = 15*g**2 + 15*g - 24. Let b(t) = 5*f(t) - 6*h(t). Factor b(w).
-3*(w - 3)*(w + 6)
Suppose -552*i + 621*i = 239 - 32. Let 1/4*p**4 - 3/4*p**2 + 11/4*p - 3/2 - 3/4*p**i = 0. Calculate p.
-2, 1, 3
Let u(s) = -s + 6. Let j be u(2). Let f(p) = 0 + j - p - 5. Let k(l) = l**2 + 4*l + 9. Let c(z) = -21*f(z) - 3*k(z). Factor c(a).
-3*(a - 2)*(a - 1)
Let b(h) be the third derivative of -19*h**2 - 1/240*h**6 + 0*h - 1/18*h**3 + 1/360*h**5 + 1/1260*h**7 - 2 + 1/48*h**4. Factor b(s).
(s - 2)*(s - 1)**2*(s + 1)/6
Factor 102131 - 2*w**2 + 102839 + 364*w - 202714.
-2*(w - 188)*(w + 6)
Suppose -2*b + 4*b = 5*c - 20, b + 13 = 4*c. Let z(a) = -12*a**2 + 26*a - 1. Let y be z(c). What is p in -12*p**2 + 16/3*p**y - 4/3 + 8*p = 0