1. Suppose 4*q + 10 = -5*s, -3*s - 5*q + 3 - 22 = 0. Factor i*b**s - 3*b + 9.
(b - 6)**2/4
Let n be 1 - ((-2)/(-13) + (-588)/273). Let s be -5 + n - (-160)/65. Factor 0*p**2 + 4/13 - 2/13*p**3 + s*p.
-2*(p - 2)*(p + 1)**2/13
Determine q, given that -32/9 - 52/9*q - 2/3*q**2 + 16/9*q**3 + 2/9*q**4 = 0.
-8, -1, 2
Suppose -34*j - 13*j = 7050. Let c = j + 152. Find v such that -4/3*v + 1/3*v**3 + 0 + 4/3*v**c - 1/3*v**4 = 0.
-2, 0, 1, 2
Let c(m) be the second derivative of -3*m**7/35 - 209*m**6/75 - 173*m**5/10 + 4381*m**4/30 + 338*m**3/5 + 13*m - 16. Let c(u) = 0. Calculate u.
-13, -2/9, 0, 3
Let c(v) = 16*v**3 + 442*v**2 + 4664*v - 1930. Let z(g) = -17*g**3 - 443*g**2 - 4664*g + 1929. Let k(s) = 7*c(s) + 6*z(s). Factor k(i).
2*(i + 22)**2*(5*i - 2)
Let d be (-9 - -387) + -8 - -3. Let q = 375 - d. Factor -4/5*p**q - 16/5 + 4*p.
-4*(p - 4)*(p - 1)/5
Suppose 96*v = 101*v + 60. Let m be -2 + v/(-4) + -2 - -3. Factor -4 + 0 + t**2 + t**2 + 2*t**m.
4*(t - 1)*(t + 1)
Let q(k) be the third derivative of k**8/84 + 2*k**7/7 - k**6/30 - k**5 - 672*k**2. What is n in q(n) = 0?
-15, -1, 0, 1
Let q = 51 - -119. Suppose 17 + q*r**2 + 35*r**5 - 130*r**4 - 57 + 34*r**3 - 100*r + 31*r**3 = 0. Calculate r.
-1, -2/7, 1, 2
Let y be (-4)/(-24)*6*(0 - (-14 + 11)). Let b be (-54)/(-20)*5/2. Suppose 3/2*l + 0 - 33/4*l**2 + b*l**y = 0. Calculate l.
0, 2/9, 1
Let i(u) be the third derivative of u**7/210 + 11*u**6/120 + 3*u**5/20 - 11*u**4/24 - 5*u**3/3 + 5117*u**2. Factor i(m).
(m - 1)*(m + 1)**2*(m + 10)
Let n(j) be the first derivative of -25/6*j**2 - 2/45*j**6 + 5*j**3 - 3/5*j**5 - 8 + 32*j - 61/36*j**4. Let h(u) be the first derivative of n(u). Factor h(x).
-(x + 5)**2*(2*x - 1)**2/3
Let c(x) be the first derivative of -106 - 91/17*x**2 - 294/17*x - 2/3*x**3 - 1/34*x**4. Factor c(u).
-2*(u + 3)*(u + 7)**2/17
Let i(p) be the third derivative of -5*p**8/504 - 19*p**7/315 + 13*p**6/60 + 163*p**5/90 + 43*p**4/18 - 8*p**3/3 - 3664*p**2. Find l, given that i(l) = 0.
-4, -2, -1, 1/5, 3
Suppose 3732*c = 6468 + 4728. Factor -8*h**2 + 2/5*h**c + 136/5*h - 128/5.
2*(h - 16)*(h - 2)**2/5
Factor 20/3*c + 112/3 - 2/3*c**2.
-2*(c - 14)*(c + 4)/3
Let c(q) be the third derivative of -q**7/630 - q**6/9 - 10*q**5/3 - 11*q**4/24 - q**2 + q. Let a(i) be the second derivative of c(i). Factor a(m).
-4*(m + 10)**2
Suppose 232*a = 244 + 441 + 475. Factor a*h**3 - 4 - 13*h**2 + 37/3*h - 1/3*h**4.
-(h - 12)*(h - 1)**3/3
Let t = -3069728/3 - -1023245. Factor 6*b**2 + t*b**3 + 1/3*b**4 + 20/3*b + 8/3.
(b + 1)*(b + 2)**3/3
Solve 2091*q + 856*q**2 + 1586 - 3265 + 1528 + 1011 - 373*q - 2*q**3 = 0 for q.
-1, 430
Suppose 3*t - 2 = -5*w + 3, t = -5*w - 5. Suppose 3*l = -3*y, 13 = t*l - 2*y - 1. Factor 8*n**l + 28 - 8*n**3 + 2*n**3 + 8*n - 28.
-2*n*(n - 2)*(3*n + 2)
Let r = 1029 - 1027. Find s such that -2*s**2 + 0*s**r - 10*s - 88 + 76*s + 25 - s**2 = 0.
1, 21
Let c be (1/(-9) - -1)*(90/(-35))/(126/(-588)). Factor 0 + 1/3*y**2 - c*y.
y*(y - 32)/3
Let m(g) be the first derivative of g**5/25 + 4*g**4/5 - 22*g**3/5 - 88*g**2/5 - 19*g - 5623. Find z such that m(z) = 0.
-19, -1, 5
Let c(k) = -48*k**2 + k. Let d be c(1). Let o = d + 75. Solve -y - 15 - y - 8*y - 3*y**2 + o*y = 0.
1, 5
Let c(j) be the second derivative of j**6/15 + 81*j**5/10 + 383*j**4/6 + 73*j**3 - 684*j**2 + 897*j. Factor c(v).
2*(v - 1)*(v + 3)**2*(v + 76)
Let t(j) be the third derivative of -j**7/1050 + j**6/6 - 1091*j**5/150 - 265*j**4/2 - 8427*j**3/10 - 6*j**2 + 4. Solve t(d) = 0 for d.
-3, 53
Let d be (-2)/((-156)/169) - 2. Let u(z) be the third derivative of 0*z - 5/72*z**4 + 1/180*z**5 + 24*z**2 + 0 + d*z**3 + 1/360*z**6. Factor u(m).
(m - 1)**2*(m + 3)/3
Let w(q) = 2*q**2 - 10*q + 6. Let m be w(4). Let y be 6/(m - 32/(-8)). Find t such that 6/11*t**2 + 6/11*t**y - 6/11 - 6/11*t = 0.
-1, 1
Let g(y) = -6*y**2 + 2*y - 1. Let k(b) = 13*b**2 + 210*b + 11451. Let p(x) = -2*g(x) - k(x). Determine c so that p(c) = 0.
-107
Factor -84/5*z - 72/5*z**2 + 4/5*z**3 + 152/5.
4*(z - 19)*(z - 1)*(z + 2)/5
Let d be (-228)/152*27530/3. Let s = d - -96679/7. Suppose -648/7*z - s - 39/7*z**4 - 3/7*z**5 - 201/7*z**3 - 513/7*z**2 = 0. What is z?
-3, -2
Let k = -181 - -183. Factor 2*h**3 - 5*h + 39*h**k - 79*h**2 + 39*h**2 - 2.
(h - 2)*(h + 1)*(2*h + 1)
Let b(h) = -h**2 - 117*h - 3309. Let r be b(-48). Let m(u) be the first derivative of 3/4*u**4 + 12*u - r*u**3 + 0*u**2 - 24. Suppose m(j) = 0. Calculate j.
-1, 2
Let f(n) be the third derivative of n**5/20 + 1645*n**4/2 + 5412050*n**3 + n**2 + 23*n - 265. Factor f(k).
3*(k + 3290)**2
Suppose -2*n = -9 + 127. Let m = n + 64. Determine b so that 11*b - 51 - 2*b**4 - b + 53 - b**m - 3*b + 8*b**2 + 2*b**3 = 0.
-1, 2
Let d(b) = -b**2 + b + 9. Let j be d(3). Factor -19*a + 18*a**2 + 10 - a**3 + 14 - 2*a**j - 10*a - 7*a.
-3*(a - 2)**3
Suppose m = -2*r, 3 = r + 5. Determine q, given that -9*q - 64 - 4*q**4 - 34*q**3 + 63 + 15*q**3 - 2*q**m - 21*q**2 = 0.
-1, -1/6
Let d be (-4)/40*4*-45. Let w be 39/91*84/d. Factor 0 - 3/4*u**w + 0*u - 3/4*u**4 + 3/2*u**3.
-3*u**2*(u - 1)**2/4
Let k be 3/(6/21 - (-14575)/(-51380)). Let q = k + -1466. Factor 6/11*g**q + 2/11 - 13/11*g.
(g - 2)*(6*g - 1)/11
Suppose -174*w = -90*w - 79*w - 10. What is o in 15*o + 1/6*o**w + 675/2 = 0?
-45
Find n, given that -160/3 - 14/3*n**4 + 152/3*n + 22/3*n**3 + 72*n**2 = 0.
-2, 4/7, 5
Let l be (14 + -1 + 5)*1/(-2). Let i be -1 + l/(-12) - (-33)/12. Suppose 1/2*c**2 - i*c + 3 = 0. What is c?
2, 3
Let r(z) be the first derivative of 19 + 1/42*z**4 - 2/7*z**2 - 1/21*z**3 - 22*z. Let k(m) be the first derivative of r(m). Solve k(n) = 0.
-1, 2
Let a be ((-3)/(-252)*6)/((-8 + 6)/(-8)). Determine r, given that 3/7*r**3 - a - 5/7*r**4 + r**2 - 3/7*r = 0.
-1, -2/5, 1
Let u(m) be the third derivative of m**6/20 - 19*m**5/30 + 7*m**4/4 - 5*m**3/3 + 5217*m**2. Determine n so that u(n) = 0.
1/3, 1, 5
Let r(z) be the third derivative of -z**5/30 - 227*z**4/6 - 51529*z**3/3 + 6*z**2 + 2. Let r(d) = 0. Calculate d.
-227
Let d be (251/(-502))/(22/(-320))*3. Factor -288/11 + 2/11*o**3 + 46/11*o**2 + d*o.
2*(o - 1)*(o + 12)**2/11
Let g(j) be the third derivative of j**7/7560 - 13*j**6/2160 - 7*j**5/180 - 13*j**4/8 - 42*j**2. Let t(p) be the second derivative of g(p). Factor t(q).
(q - 14)*(q + 1)/3
Let m(c) be the first derivative of -4*c**5/45 - 146*c**4/3 - 188308*c**3/27 + 129064*c**2/3 - 781456*c/9 - 1861. What is l in m(l) = 0?
-221, 2
Let a(p) be the third derivative of -p**7/2520 - p**6/360 + p**5/40 - 5*p**4/72 + 4*p**3/3 - 49*p**2. Let u(q) be the first derivative of a(q). Factor u(z).
-(z - 1)**2*(z + 5)/3
Let g(u) be the first derivative of -2/9*u**3 - 8/3*u**2 - 32/3*u - 31. Factor g(p).
-2*(p + 4)**2/3
Let n(y) be the third derivative of -46*y**2 + 0*y**4 - y + 0*y**5 - 1/960*y**6 + 0*y**3 + 0. Suppose n(z) = 0. Calculate z.
0
What is a in -10584 + 112*a**3 - 98*a**3 + 4497*a - 2148*a + 2864*a - 612*a**2 + 1969*a = 0?
12/7, 21
Let b be 4 - 40/(-4 + 0). Suppose -j + 6*j = -b*j. Factor -8/3*v**2 + 1/3*v**5 + j*v - 4/3*v**3 + 0 + 2/3*v**4.
v**2*(v - 2)*(v + 2)**2/3
Let v(d) = -4*d**2 + 44*d + 504. Let c be v(-7). Suppose c - 14/5*i**3 + 2*i**4 + 0*i + 4/5*i**2 = 0. What is i?
0, 2/5, 1
Suppose -16*c + 0 + 27/2*c**3 + 41*c**4 + 5/2*c**5 - 41*c**2 = 0. Calculate c.
-16, -1, -2/5, 0, 1
Let i(p) be the first derivative of 34/3*p**2 + 2/9*p**3 - 172 + 0*p. Suppose i(y) = 0. Calculate y.
-34, 0
Let x(f) be the second derivative of -5*f**7/42 - 28*f**6/3 + 363*f**5/4 - 465*f**4/2 - 1826*f. Solve x(z) = 0 for z.
-62, 0, 3
Let y(g) = -23*g**3 - 3856*g**2 + 29539*g - 58560. Let a(k) = -30*k**3 - 5140*k**2 + 39385*k - 78080. Let f(c) = 19*a(c) - 25*y(c). Factor f(n).
5*(n - 244)*(n - 4)**2
Let b(f) be the first derivative of 3/10*f**4 - 2 - 3/5*f**2 - 2/25*f**5 + 2/15*f**3 + 0*f. What is a in b(a) = 0?
-1, 0, 1, 3
Let w(d) = -11*d**4 + d**3 - d**2 + d + 1. Let s(l) = -120*l**4 + 10*l**3 - 84*l**2 + 156*l - 61. Let h(y) = -s(y) + 11*w(y). Factor h(z).
-(z - 8)*(z - 1)**2*(z + 9)
Let n be 126/1575 + 27/225. Determine l, given that 0 + 0*l + n*l**2 + 1/5*l**3 = 0.
-1, 0
Let m(x) = 6*x + 12. Let t be m(-4). Let h(j) = -j**2 - 11*j + 16. Let i be h(t). Factor 18*l**3 + 30*l - 38 - 6*l**2 + 36*l**2 + 47 + 6*l**2 + 3*l**i.
3*(l + 1)**3*(l + 3)
Let a(m) be the first d