**2 + 0 - 1/21*b**3 - 30*b - 1/70*b**5 - 1/21*b**4. Factor v(f).
-2*f*(f + 1)**2/7
Let n(l) = -72*l**3 - 128*l**2 - 76*l. Let z(m) = 137*m**3 + 256*m**2 + 152*m - 2. Let f(p) = 7*n(p) + 4*z(p). Find q, given that f(q) = 0.
-2, -1, 1/11
Suppose 3*j + 3*r = 60, 5*j + 3*r - 100 = -0. Determine q so that -3*q**4 - 14*q**2 - 6*q**3 - 3*q**2 + j*q**2 + 6*q = 0.
-2, -1, 0, 1
Let l = 9 + -4. Suppose -119 = l*f - 139. Let -26 + 7*o**3 + 26 - 4*o - f*o**4 - 3*o**5 + 4*o**2 = 0. Calculate o.
-2, -1, 0, 2/3, 1
Let r(y) be the third derivative of y**6/90 + 373*y**5/45 + 743*y**4/18 + 742*y**3/9 - 297*y**2. Factor r(s).
4*(s + 1)**2*(s + 371)/3
Let r(n) be the second derivative of 30 + 3/4*n**4 + 1/60*n**6 - 5/3*n**3 + 2*n**2 + 2*n - 7/40*n**5. Factor r(b).
(b - 2)**3*(b - 1)/2
Let t = 97 + -94. Factor -6*a**2 + 116*a**3 + 18 - 113*a**t - 4*a - 11*a.
3*(a - 3)*(a - 1)*(a + 2)
Let j(v) = -4*v**4 + 48*v**3 + 156*v**2 - 28*v - 162. Let t(w) = -w**4 + 3*w**3 - w**2 + w. Let s(h) = j(h) - 5*t(h). Solve s(p) = 0 for p.
-27, -6, -1, 1
Let w(o) be the second derivative of o**4/72 - 7*o**3/18 - 26*o**2 - 70*o + 9. Factor w(l).
(l - 26)*(l + 12)/6
Let s = -817 + 2933. Let -56*g + s - 20*g**2 - 72*g - 56*g + 24*g**2 = 0. Calculate g.
23
Let w(t) = 4*t**2 + 257*t - 663. Let x(y) = 3*y**2 + 254*y - 661. Let s(l) = -8*w(l) + 9*x(l). Factor s(g).
-5*(g - 43)*(g - 3)
Let t be (-5 + 1)*(435/(-29) + 14). Let b(w) be the second derivative of -1/20*w**t + 0*w**3 + 0 + 6/5*w**2 + 28*w. Determine q so that b(q) = 0.
-2, 2
Determine v so that -56/5*v - 64/5*v**3 + 4/5*v**4 + 0 + 116/5*v**2 = 0.
0, 1, 14
Let a(d) be the second derivative of -55*d**3/6 + 115*d**2 + 2*d - 187. Let c be a(4). Let 5/2*u**3 - 5*u**2 - 35/2*u - c = 0. What is u?
-1, 4
Suppose -222 = -0*i - 3*i + j, 3*j = -5*i + 384. Let f = i - 36. Solve 7*r**2 - 99*r**2 + 47*r - f*r = 0.
0, 2/23
Let d(j) be the second derivative of -j**4/12 + 14*j**3 + 176*j**2 + 2*j + 957. Let d(q) = 0. Calculate q.
-4, 88
Let g(d) = d**2 - 13*d - 59. Let v be g(17). Determine z so that 3*z**3 + 943*z - 2*z**4 - 946*z + 0*z**2 + 6 + 5*z**4 - v*z**2 = 0.
-2, -1, 1
Let u = 42787/84 - 10576/21. Factor u*g - 13/4*g**2 + 1/4*g**3 - 11/4.
(g - 11)*(g - 1)**2/4
Suppose 322*g + 16 = 326*g. Let c(t) be the first derivative of -3/10*t**5 + 0*t**2 + 1/4*t**6 + 0*t - 3/8*t**g + 1/2*t**3 + 20. Let c(q) = 0. Calculate q.
-1, 0, 1
Let f(m) be the second derivative of m**4/6 - 11*m**3/6 + 7*m**2/2 + 307*m. Let t be f(5). Factor 0 - 2/5*v - 2/5*v**t.
-2*v*(v + 1)/5
Factor 470448*h**2 - 216*h**3 + 275*h**3 + 62099136*h + 488*h**3 + h**4 + 641*h**3.
h*(h + 396)**3
Let w(h) be the second derivative of 5*h - 3/4*h**2 + 3/80*h**5 - 1/4*h**4 + 1 + 5/8*h**3. Factor w(x).
3*(x - 2)*(x - 1)**2/4
Let k(a) be the first derivative of -8/33*a**3 + 1/22*a**4 + 0*a**2 + 0*a + 228. Let k(n) = 0. Calculate n.
0, 4
Let o(n) be the third derivative of n**6/135 - n**5/10 - 133*n**4/36 - 98*n**3/27 + 961*n**2. Factor o(m).
2*(m - 14)*(m + 7)*(4*m + 1)/9
Suppose 0 = 84*p - 76*p - 32. Let g(z) be the second derivative of 1/42*z**p - 1/7*z**2 + 0 + 1/70*z**5 + 4*z - 1/21*z**3. Factor g(c).
2*(c - 1)*(c + 1)**2/7
Let v(s) be the second derivative of -s**4/12 - 145*s**3/6 + 775*s**2 + 12648*s. Let v(x) = 0. What is x?
-155, 10
Let o(x) be the second derivative of x**6/30 - 153*x**5/20 + 149*x**4/6 + 102*x**3 - 604*x**2 + 2*x + 1854. Determine r, given that o(r) = 0.
-2, 2, 151
Let o = -1626 - -1636. Suppose o*c + 1029 = 1059. Let -27/7*h**c - 36/7*h**4 - 6/7*h**2 + 0*h - 15/7*h**5 + 0 = 0. Calculate h.
-1, -2/5, 0
Factor -6*l + 11 + 958*l**2 - 15 - 960*l**2.
-2*(l + 1)*(l + 2)
Let i(v) be the second derivative of -v**5/4 + 475*v**4/12 + v + 480. Factor i(d).
-5*d**2*(d - 95)
Suppose v + 1646 - 1646 = 0. Suppose -27*o - 3*o = v. Factor -3/4*a**2 - 1/4*a**3 - 1/2*a + o.
-a*(a + 1)*(a + 2)/4
Let q(w) be the second derivative of -43*w**5/10 + 64*w**4/9 + 259*w**3/9 + 2*w**2/3 - 111*w + 7. Find z such that q(z) = 0.
-1, -1/129, 2
Let n(c) be the third derivative of -c**9/80640 + c**8/8064 - c**7/6720 - 4*c**5/5 + 16*c**2. Let p(g) be the third derivative of n(g). Factor p(s).
-s*(s - 3)*(3*s - 1)/4
Find i such that 1017632*i**5 - 1017716*i**5 - 1 - 320*i**4 - 92*i - 23 - 16*i**3 + 536*i**2 = 0.
-3, -2, -1/7, 1/3, 1
Let y(d) be the second derivative of -8 - 992/3*d**3 + 5*d**5 - 605/3*d**4 - 4*d - 200*d**2. Find h such that y(h) = 0.
-2/5, 25
Factor 1277*r**2 + 729*r - 3*r**4 + 254*r**3 - 263*r**3 - 1034*r**2.
-3*r*(r - 9)*(r + 3)*(r + 9)
Suppose 6 = -207*a + 210*a. Suppose -a*n + 162 = 152. Factor 0*o**4 + 0 - 4/3*o**3 + 4/3*o**n + 0*o**2 + 0*o.
4*o**3*(o - 1)*(o + 1)/3
Let g(u) be the third derivative of -235/96*u**4 - 89/480*u**6 + 1/105*u**7 - 8*u**2 + 97/80*u**5 + 12 + 25/24*u**3 + 0*u. What is i in g(i) = 0?
1/8, 1, 5
Let d be 210/(-45)*(10 + -8)*-3. Let h(o) be the second derivative of -5/24*o**4 + 0 + 2*o**2 + d*o - 3/2*o**3. Determine i, given that h(i) = 0.
-4, 2/5
Let j(b) = b**4 - b**3 - 9*b**2 + b + 4. Let i(a) = a**4 + 3 + a - 4 - 142*a**3 + a**2 + 141*a**3. Let h(r) = 4*i(r) + j(r). Factor h(p).
5*p*(p - 1)**2*(p + 1)
Let u(l) = -30*l**3 - 60*l**2 - 102*l - 48. Let w(x) = 11*x**3 + 20*x**2 + 34*x + 16. Let m(v) = -3*u(v) - 8*w(v). Determine z so that m(z) = 0.
-8, -1
Let k = 24895/4 - 24849/4. Find s such that -k*s**2 + s**3 + 0 - 6*s = 0.
-1/2, 0, 12
Let g(h) = 3*h**2 - 4. Let q be g(2). Suppose -5*i + a = -4, 2*a + q = -4*i + 3*i. Factor -4 + 0*t**3 - 2*t + 2*t**3 + 4*t**2 + 0*t**3 + i*t**3.
2*(t - 1)*(t + 1)*(t + 2)
Let z be 4/18 - 203*4/7056. Let r(g) be the third derivative of 0*g - 1/70*g**5 + 17*g**2 - z*g**4 + 0 + 4/7*g**3. Factor r(f).
-6*(f - 1)*(f + 4)/7
Let b be (-2*(2 + -3) - 8)/(46/(-92)). Let i(z) be the first derivative of -b + 1/3*z**2 - 1/9*z**3 + 0*z. Let i(k) = 0. What is k?
0, 2
Let j(z) = 2*z**2 + 6052*z - 2298268. Let s(a) = -4*a**2 - 6048*a + 2298272. Let c(o) = 4*j(o) + 3*s(o). Factor c(m).
-4*(m - 758)**2
Suppose 3*v - 41 = -56262*j + 56260*j, 34 = 3*j + 2*v. Suppose 2/3*c**5 + j*c**3 - 4*c**4 + 32/3*c**2 - 12 - 10*c = 0. What is c?
-1, 2, 3
Let n(x) be the first derivative of x**4/4 + 547*x**3/3 + 75075*x**2/2 + 74529*x + 679. Factor n(w).
(w + 1)*(w + 273)**2
Let g be (-64)/(-34)*165/110. Let a(t) be the first derivative of -g*t**3 - 16/17*t**4 - 64/17*t**2 - 32/17*t - 2/17*t**5 - 18. Factor a(j).
-2*(j + 2)**3*(5*j + 2)/17
Let b(l) be the second derivative of -1/30*l**4 + 14/15*l**3 - 208*l + 0 - 24/5*l**2. Suppose b(w) = 0. Calculate w.
2, 12
Let p be (-201)/((-3)/99*3). Let c = 18 + p. Suppose 5*a**4 - 2*a**3 - 8*a**3 + 5*a**2 + 2229*a - c*a = 0. Calculate a.
0, 1
Let n(j) = 4*j**2 + 6*j - 211. Let x(g) = -5*g**2 - 5*g + 208. Let l(c) = 4*n(c) + 3*x(c). Determine s, given that l(s) = 0.
-20, 11
Suppose -69 = -40*g + 291. Let o(x) be the second derivative of -g*x + 1/12*x**5 + 0*x**2 + 1/90*x**6 - 1/2*x**3 + 0 + 1/12*x**4. What is q in o(q) = 0?
-3, 0, 1
Let 621/2*q**2 - 1251/2*q + 627/2 + 3/2*q**3 = 0. Calculate q.
-209, 1
Factor -675/2 - 35/4*v**3 + 369/4*v**2 - 945/4*v + 1/4*v**4.
(v - 15)**2*(v - 6)*(v + 1)/4
Let t(a) = -a**3 - 97*a**2 - 588*a + 300. Let c be t(-7). Factor 0*l - 8*l**2 + c*l**3 + 0*l**4 + 0 - 1/2*l**5.
-l**2*(l - 2)**2*(l + 4)/2
Suppose -5*r = -p - 43, 3*p + 2*r - 730 + 706 = 0. Factor -5/4*q**3 + 0*q + 1/8*q**4 + 0*q**p + 0.
q**3*(q - 10)/8
Let u(c) = -2*c**4 - 9*c**3 - c**2 + c. Let s(p) = -7*p**4 - 551*p**3 - 68121*p**2 + 137815*p - 69169. Let t(j) = -2*s(j) + 6*u(j). Factor t(z).
2*(z - 1)**2*(z + 263)**2
Let z = -89591/2 + 44797. Suppose 27/2*t - 12*t**2 + z*t**3 + 27 = 0. What is t?
-1, 3, 6
Factor 0*u + 0 - 626/11*u**2 + 2/11*u**3.
2*u**2*(u - 313)/11
Let n = 1867192/3710367 - 18/15269. Let t = n - 1/486. Factor -1/4*w - 1/4*w**2 + t.
-(w - 1)*(w + 2)/4
Let o(f) be the third derivative of 0*f + 16/15*f**6 - 58/3*f**3 + 44/3*f**4 + 3 - 2/105*f**7 - 5*f**2 - 6*f**5. Determine h, given that o(h) = 0.
1, 29
Let y(q) be the second derivative of q**6/15 + 89*q**5/10 + 1012*q**4/3 + 1936*q**3/3 + 2802*q. Solve y(d) = 0.
-44, -1, 0
Let r(k) = -k**3 + 188*k + 6. Let o(c) = -5*c**3 + 3*c**2 + 941*c + 29. Let d(q) = 2*o(q) - 11*r(q). Let j be d(11). Factor 8/3 + 2*y**2 - 4*y - 1/3*y**j.
-(y - 2)**3/3
Let r(c) be the 