*t + 2. Let o(i) = i**3 - i**2 + 1. Let j(c) = -l(c) + 2*o(c). Let j(z) = 0. Calculate z.
-14, -1, 0
Let x(n) be the first derivative of n**5/30 - 5*n**4/12 + 4*n**3/3 - 25*n**2/2 - 6. Let y(q) be the second derivative of x(q). Find k such that y(k) = 0.
1, 4
Factor 78/5*h**3 - 77/5*h**2 - 1/5*h**4 + 0 + 0*h.
-h**2*(h - 77)*(h - 1)/5
Let s(o) = 11*o**3 + 9*o**2 - 735*o + 3083. Let k(h) = 46*h**3 + 33*h**2 - 2940*h + 12331. Let f(t) = -4*k(t) + 17*s(t). Factor f(i).
3*(i - 7)**2*(i + 21)
Let l(d) be the second derivative of d**7/168 - d**6/20 - d**5/80 + d**4/8 - 13*d - 8. What is b in l(b) = 0?
-1, 0, 1, 6
Let h be (-10)/(-103)*(-80)/50. Let w = h - -135/206. Factor -1/2*q**2 - 1/2*q**3 + 0*q + 0 + w*q**5 + 1/2*q**4.
q**2*(q - 1)*(q + 1)**2/2
Let t(o) = -74*o**2 - 1058*o + 6. Let w(z) = -61*z**2 - 1057*z + 5. Let u(h) = -5*t(h) + 6*w(h). Solve u(v) = 0.
0, 263
Let g(j) be the first derivative of 3*j**5/25 + 189*j**4/20 + 182*j**3/5 + 36*j**2 - 1180. Factor g(x).
3*x*(x + 1)*(x + 2)*(x + 60)/5
Let a(m) be the second derivative of -3/4*m**4 - 11*m - 5 - m**2 + 1/10*m**6 - 3/2*m**3 + 1/20*m**5. Factor a(r).
(r - 2)*(r + 1)**2*(3*r + 1)
Let w(y) = 7*y**2 + 528*y - 68648. Let c(v) = -30*v**2 - 2113*v + 274593. Let j(n) = 8*c(n) + 34*w(n). Factor j(s).
-2*(s - 262)**2
Determine f, given that -516/5 - 3/5*f + 6/5*f**3 - 3/5*f**5 - 516/5*f**4 + 1032/5*f**2 = 0.
-172, -1, 1
Let q(v) be the first derivative of v**4 + 128*v**3 - 594*v**2 - 5991. Factor q(b).
4*b*(b - 3)*(b + 99)
Let k(a) be the second derivative of -5*a**7/42 + 8*a**6/3 - 7*a**5/2 - 20*a**4/3 + 25*a**3/2 + 7517*a. Solve k(l) = 0.
-1, 0, 1, 15
Let u(l) = l**2 + 594*l + 17455. Let p be u(-31). Factor 10/11*s**3 + 80/11*s + 24/11 + 54/11*s**p.
2*(s + 2)*(s + 3)*(5*s + 2)/11
Let s be (-6)/30*(-4219)/2*-2. Let d = s + 845. Factor 0 - 4/5*x - d*x**2.
-2*x*(3*x + 2)/5
Let s be (-274)/(-24) + -23 + 12. Let h(z) be the third derivative of 1/6*z**6 + 0 + 4*z**2 + 0*z**3 + s*z**5 + 0*z + 1/42*z**7 + 5/12*z**4. Factor h(o).
5*o*(o + 1)**2*(o + 2)
Let k = -9 + 23. Suppose i + 4*o - k = -4, i = o. Let 96*n + 144 - n**3 + 2*n**3 + 3*n**3 - 10*n**i - 34*n**2 = 0. Calculate n.
-1, 6
Find u such that -49923/8 + 1/8*u**3 + 17415/8*u - 261/8*u**2 = 0.
3, 129
Let z be (44880/1071)/20 - (-8)/14. Suppose -1/3*i + 0 - 5/6*i**2 - 3/2*i**4 + z*i**3 = 0. Calculate i.
-2/9, 0, 1
Let h(a) be the second derivative of a**4/12 + 10*a**3/3 + 91*a**2/2 + 569*a. Factor h(t).
(t + 7)*(t + 13)
Let p(a) be the first derivative of 51 - 1/8*a**3 + 0*a - 3/16*a**2. Let p(u) = 0. What is u?
-1, 0
Let f(z) be the second derivative of 1/5*z**5 + 40*z**2 + 19 + 3*z - 2/3*z**4 - 38/3*z**3. Solve f(p) = 0 for p.
-4, 1, 5
Let w be ((-8)/(12 - (5 + -11)))/(6/(-27)). Factor -3*n**w + 3/2*n + 3 - 3/2*n**3.
-3*(n - 1)*(n + 1)*(n + 2)/2
Let u = -5369901/4 + 1342521. Determine k, given that -19 - u*k**2 - 9/4*k**3 - 58*k = 0.
-19, -2/3
Let o = 29893/738 - 2/369. Factor -9*x + 1/2*x**2 + o.
(x - 9)**2/2
Let c be ((-11)/77*0)/(6/6). Let x(h) be the third derivative of 1/6*h**4 - 1/15*h**5 + 0*h + 2/105*h**7 - 1/30*h**6 + 0*h**3 + c - 26*h**2. Factor x(o).
4*o*(o - 1)**2*(o + 1)
Let t(c) = -2*c**3 + c - 4. Let o(b) = -26*b**3 - 42*b**2 + 284*b - 606. Let w(p) = 2*o(p) - 28*t(p). Factor w(d).
4*(d - 11)*(d - 5)**2
Let w(j) be the first derivative of -145 + 0*j + 2/13*j**3 + 1/26*j**4 + 2/13*j**2. Factor w(k).
2*k*(k + 1)*(k + 2)/13
Let l be (516/16)/((-6)/1). Let j = l - -47/8. Find i such that 1/2*i**2 + 1/2*i**3 - j*i + 0 - 1/2*i**4 = 0.
-1, 0, 1
Suppose 459 = 17*n - 1003. Factor -5*p**5 - 30*p**3 - 66*p**4 + 3*p + 20*p**2 + n*p**4 - 8*p.
-5*p*(p - 1)**4
Suppose 5*p + m = 1615, -p - 3*m - 1311 = -5*p. Factor 4*q**2 + p - 50*q - 53*q + 31*q.
4*(q - 9)**2
Let g be (-1)/(2/8*(-6120)/2754). Factor 11/5 + g*r**2 + 1/5*r**3 - 21/5*r.
(r - 1)**2*(r + 11)/5
Let r(l) = 2084*l + 20843. Let n be r(-10). Determine b so that -1/6*b**2 - 1/6*b**n + 0 + 1/3*b = 0.
-2, 0, 1
Let p(v) = -v**3 - 2*v**2 + 2*v + 18. Let l be p(-3). Factor -14*o + l - 12*o + 2*o + 3*o**2.
3*(o - 7)*(o - 1)
Let b(q) be the third derivative of 2*q**7/63 - 14*q**6/45 + 11*q**5/15 + q**4 + 1234*q**2. Suppose b(o) = 0. What is o?
-2/5, 0, 3
Factor 9/4*n**2 - 1303/4*n - 145/2.
(n - 145)*(9*n + 2)/4
Let d(w) be the third derivative of 3/20*w**5 + 6*w - 1/3*w**4 + 5/12*w**3 + 0 - 1/30*w**6 + 1/420*w**7 + 3*w**2. Solve d(u) = 0.
1, 5
Let u(c) be the third derivative of -c**7/280 + 249*c**6/160 + 63*c**5/5 + 253*c**4/8 - 11119*c**2. Suppose u(a) = 0. What is a?
-2, 0, 253
Let d(k) be the second derivative of -k**6/165 + 158*k**5/55 - 12794*k**4/33 + 32864*k**3/11 - 97344*k**2/11 + 2*k + 2440. Factor d(g).
-2*(g - 156)**2*(g - 2)**2/11
Let d(g) be the third derivative of -g**6/900 + 17*g**5/450 + g**4/45 - 68*g**3/45 - 51*g**2. Factor d(s).
-2*(s - 17)*(s - 2)*(s + 2)/15
Find z such that 2/11*z**2 - 12/11 + 10/11*z = 0.
-6, 1
Suppose -427*g**2 + 288*g - 453*g**2 + 881*g**2 - 289 = 0. Calculate g.
-289, 1
Let c be (-2)/3*(-14 - -17) + 92. Suppose 0 = 105*w - c*w - 75. Find k, given that -18/7*k**3 - 8/7*k + 0 - 1/7*k**w - 20/7*k**2 - k**4 = 0.
-2, -1, 0
Let y(j) = -3*j**3 + 6*j**2 - 3*j. Let q(n) be the second derivative of -n**5/20 + n**3/6 + 29*n + 2. Let x(v) = -2*q(v) + 2*y(v). Factor x(i).
-4*i*(i - 2)*(i - 1)
Factor 59/10*o**2 - 1/10*o**3 + 61/5*o + 0.
-o*(o - 61)*(o + 2)/10
Suppose -3*s = 44 - 59. Let o be (56/(-112))/(s/(-8)). Factor -o + 6/5*f - 2/5*f**3 + 0*f**2.
-2*(f - 1)**2*(f + 2)/5
Let o = 10 - 18. Let m be 21/7*o/(-6). Let 213*s**4 - 16*s**2 - 419*s**m + 194*s**4 + 32*s**3 = 0. What is s?
0, 2/3, 2
Let t(c) be the second derivative of 0 - 11/6*c**4 - 34/15*c**3 - 110*c + 8/5*c**2. Suppose t(a) = 0. What is a?
-4/5, 2/11
Let a(t) = 7*t**3 + 40*t**2 + 95*t + 62. Let w = 436 - 439. Let i(v) = -8*v**3 - 40*v**2 - 96*v - 64. Let x(j) = w*i(j) - 4*a(j). What is b in x(b) = 0?
-7, -2, -1
Let h = -31306 - -31313. Let u(m) be the third derivative of 0*m + 35/8*m**4 - 3*m**3 + 0 + h*m**2 - 9/5*m**5. Determine o, given that u(o) = 0.
2/9, 3/4
Let -5*z**5 - 36206 - 1751*z**4 - 920*z**3 + 13621 - 16135 + 15100*z**2 + 1566*z**4 - 22880*z = 0. Calculate z.
-22, -1, 4
Let q be (-85848)/(-17885)*(-10)/(-21). Let d(h) = h**3 + h**2 - 2*h. Let l be d(-2). Suppose 0*y + l + 0*y**4 + 0*y**2 - q*y**3 + 4/7*y**5 = 0. What is y?
-2, 0, 2
Suppose 702 - 16 + 2*m**2 + 570*m + 615 - 368 + 199 = 0. What is m?
-283, -2
Let l(i) be the first derivative of -i**6/10 - 51*i**5/20 - 63*i**4/4 + 81*i**3/2 - 76*i + 90. Let v(m) be the first derivative of l(m). What is k in v(k) = 0?
-9, 0, 1
Suppose 335 = 2*u + 331. Determine t so that -2 - 602*t**2 + 303*t**2 + 303*t**u - 2*t**4 = 0.
-1, 1
Let b be (-123 - -119) + -1 + (-208)/14. Let w = 841/42 + b. Factor 1/6*x**4 - 1/6*x**2 + 0 - w*x + 1/6*x**3.
x*(x - 1)*(x + 1)**2/6
Let f(c) be the first derivative of -c**5/40 - 11*c**4/16 + 23*c**3/24 - 1554. Let f(b) = 0. What is b?
-23, 0, 1
Solve 891/4 + 216*n + 6*n**3 + 135/2*n**2 - 1/4*n**4 = 0 for n.
-3, 33
Let u = -1079 - -1081. Suppose 0 = v - 5*n - 0*n - 12, -u*v = 2*n. Suppose z**v - 1/2 - 7/4*z = 0. What is z?
-1/4, 2
Suppose 0 = 3*p + 4 - 25. Suppose -2*n = 2*q, 4*q + 5*n - 2 = -p. Factor 3*z**3 + 9*z**3 + 7*z**q - 9*z**5 - z**5.
-3*z**3*(z - 2)*(z + 2)
Let m = 573 + -483. Solve -m*q + 1049*q**2 - 1214*q**2 - 38*q**3 - 42*q**3 - 4 - 1 = 0.
-1, -1/16
Let t(q) be the second derivative of -q**6/240 - q**5/40 - q**4/16 + 25*q**3/3 + q - 27. Let g(i) be the second derivative of t(i). Factor g(y).
-3*(y + 1)**2/2
Let i(y) be the third derivative of -y**9/1008 + y**7/56 - y**5/10 - 13*y**3 + 15*y**2. Let o(q) be the first derivative of i(q). Suppose o(f) = 0. Calculate f.
-2, -1, 0, 1, 2
Let y(a) be the second derivative of -5*a**4/12 + 2580*a**3 - 5990760*a**2 + 5841*a. Let y(o) = 0. Calculate o.
1548
Factor -112*l + 1/6*l**3 + 0 + 671/6*l**2.
l*(l - 1)*(l + 672)/6
Let t(s) = -5*s**2 + 17*s - 4. Let h be t(3). Solve -3 - 33 + 30*k + h*k + 4*k**2 = 0 for k.
-9, 1
Let y(p) = -p**2 - 3*p + 5*p + 0*p - 2*p**2 + 2*p**2. Let j(c) = 24*c + 27. Let b(l) = j(l) + y(l). Factor b(w).
-(w - 27)*(w + 1)
Let c be (-4246)/10 + (0 - 4). Let z = c - -431. Find q, given that z*q - 6/5 - 6/5*q**2 = 0.
1
Suppose 317 - 317 = -32*n. F