2 + 0*l + 0 + 23/120*l**5 + n*l**7 + 1/30*l**6 + l**3. Factor u(y).
(y + 1)*(y + 2)**2*(y + 3)/2
Let f(k) be the second derivative of -k**7/210 - k**6/15 + 27*k**5/25 - 91*k**4/30 + 17*k**3/6 + 6631*k. Solve f(c) = 0 for c.
-17, 0, 1, 5
Suppose -11*m - 45 = -14*m. Suppose -m*s = -14*s - 6. Factor -32*r**2 + 3*r**3 + s*r - 16*r**2 + 58*r**2 + 24 - 25*r**2.
3*(r - 4)*(r - 2)*(r + 1)
Factor 2/5*i**2 + 226/5*i - 936/5.
2*(i - 4)*(i + 117)/5
Let c(u) be the second derivative of -58/21*u**3 - 9/7*u**4 - 1/5*u**5 + 2/105*u**6 - 20/7*u**2 - 177*u + 0. Determine j so that c(j) = 0.
-1, 10
Let k be (-150)/1425 - (-225)/513. Let b(y) = -y. Let j be b(-2). Suppose 10/3*d**3 + 20*d + 37/3*d**j + 12 + k*d**4 = 0. Calculate d.
-3, -2
Let a(x) be the third derivative of -x**6/240 - 9*x**5/80 - 17*x**3/6 + 34*x**2. Let b(z) be the first derivative of a(z). Factor b(s).
-3*s*(s + 9)/2
Suppose -2*w = 5*k - 161, -2*w - 3*w + k = -362. Suppose 35 = 3*q - w. Factor -p + p - 2*p**2 - 35*p**4 - p**3 + q*p**4.
p**2*(p - 2)*(p + 1)
Let m(t) = -10*t**2 + 11*t - 5. Let u = 46 - 41. Let s(g) = g**2 + g - 1. Suppose -9*b + 0 = 9. Let j(f) = b*m(f) + u*s(f). Suppose j(y) = 0. Calculate y.
0, 2/5
Let k(m) = -59*m**2 + 628*m + 97340. Let n(l) = -103*l**2 + 1255*l + 194681. Let j(b) = 7*k(b) - 4*n(b). Find r, given that j(r) = 0.
-312
Let p = -287 - -291. Factor 7*a**2 + 18*a**p + 11*a**2 + 36*a**2 + 2*a**5 + 54*a**3.
2*a**2*(a + 3)**3
Find i such that 10*i**2 + 17*i**3 + 11*i - 12*i - 26*i**3 - 16*i**3 = 0.
0, 1/5
Find d, given that 1/2*d**2 + 36*d + 648 = 0.
-36
Let s(h) be the first derivative of 3/5*h**5 - 15/2*h**4 + 108*h + 26 - 90*h**2 + 37*h**3. Solve s(g) = 0 for g.
2, 3
Let o(w) be the second derivative of -w**7/3780 + 2*w**6/45 - 16*w**5/5 - 11*w**4/4 - 22*w + 1. Let t(g) be the third derivative of o(g). Factor t(x).
-2*(x - 24)**2/3
Let t = -447399/7 + 63915. Solve 0*h - 4/7*h**2 + t*h**3 + 0 - 2/7*h**4 = 0 for h.
0, 1, 2
Suppose 5643*o**2 - 7*o**3 + 21*o + o**5 - 5647*o**2 + 0*o**3 + 2*o**4 + 2*o**4 - 15*o**3 = 0. What is o?
-7, -1, 0, 1, 3
Suppose -64 = -4*o + 4*x, -5*o + 553*x = 555*x - 38. Factor 2/3*m**3 + 6*m**2 + 14/3 + o*m.
2*(m + 1)**2*(m + 7)/3
Suppose 55 = 12*h + 31. Factor -1238 + 632 - 3*g**h - 12*g + 642.
-3*(g - 2)*(g + 6)
Solve -3/2*v**4 - 15/2*v**2 - 39/2*v + 45/2*v**3 - 3*v**5 + 9 = 0.
-3, -1, 1/2, 1, 2
Let a(l) = -5*l - 18. Let d be a(-4). Factor 64 + 46*w - 185 - 408 - w**d.
-(w - 23)**2
Let j(x) be the third derivative of x**5/20 + 6*x**4 + 215*x**3/2 - 687*x**2. Factor j(c).
3*(c + 5)*(c + 43)
Suppose -34 = -3*x + 893. Let k = x - 304. Factor 0 - 2/7*m**k + 2/7*m**4 + 2/7*m**3 - 2/7*m**2 + 0*m.
-2*m**2*(m - 1)**2*(m + 1)/7
Let b(o) be the first derivative of -o**4/14 + 184*o**3/21 - 13*o**2 - 793. Factor b(w).
-2*w*(w - 91)*(w - 1)/7
Let k(o) be the third derivative of 5*o**7/42 - 3*o**6/8 - 31*o**5/60 + 11*o**4/8 + 3*o**3 - 7*o**2 - 59. Factor k(m).
(m - 2)*(m - 1)*(5*m + 3)**2
Let h(l) be the first derivative of l**4/7 - 932*l**3/21 - 468*l**2/7 + 1849. Factor h(x).
4*x*(x - 234)*(x + 1)/7
Let b be -56*(-100)/72 - (-6)/27. Let i be (-3)/(-12)*(6 + b/(-15)). Factor -1/5 + i*v**2 + 0*v.
(v - 1)*(v + 1)/5
Let p(z) be the second derivative of -z**7/273 - 3*z**6/65 - 11*z**5/130 + 29*z**4/78 + 20*z**3/13 + 28*z**2/13 - 34*z + 4. Let p(f) = 0. Calculate f.
-7, -2, -1, 2
Let r(p) be the third derivative of -p**6/420 - 23*p**5/42 + 389*p**2 + p. Factor r(a).
-2*a**2*(a + 115)/7
Let i(x) be the first derivative of -2 + 1/3*x**3 + 20*x**2 + 400*x. Let i(o) = 0. Calculate o.
-20
Suppose 58*c = 29*c + 116. Let l(n) be the third derivative of 0 - 2*n**3 + 1/70*n**7 - 1/2*n**c + 0*n - 16*n**2 + 1/10*n**6 + 3/20*n**5. Factor l(x).
3*(x - 1)*(x + 1)*(x + 2)**2
Suppose q - 5*g = 2*q - 418, -q + 2*g + 439 = 0. Factor 421*a**3 - q*a**3 + a**2 + 3*a**4 - a**2.
3*a**3*(a - 4)
Suppose -13 = 224*s - 237*s. Let k(z) be the first derivative of 1/15*z**3 + 0*z**2 - 1/5*z - s. Factor k(q).
(q - 1)*(q + 1)/5
Let h(b) be the third derivative of -b**5/150 - 57*b**4/20 + 172*b**3/15 - 3246*b**2. Factor h(a).
-2*(a - 1)*(a + 172)/5
Let s(r) be the second derivative of 6*r**2 + 47/6*r**3 + 0 - 99*r - 1/3*r**4. Factor s(j).
-(j - 12)*(4*j + 1)
Suppose -5 + 3 = g - 4*z, 3*g + 41 = 5*z. Let s be (308/32 + -10)/(3/g). Factor -s*o**4 - 81/4*o**2 + 27/2*o + 0 + 1/4*o**5 + 45/4*o**3.
o*(o - 3)**3*(o - 2)/4
Let k(n) be the first derivative of n**4/42 - 2*n**3/21 + n**2/7 - 47*n - 12. Let i(u) be the first derivative of k(u). Determine b so that i(b) = 0.
1
Let p be 24/228*(-304)/(-192). Factor -1/6*n + 7/6*n**2 + p*n**3 - 7/6.
(n - 1)*(n + 1)*(n + 7)/6
Let m(y) be the first derivative of 50*y**6 + 68*y**5 - 643*y**4 - 3044*y**3/3 - 576*y**2 - 144*y + 1142. Let m(b) = 0. What is b?
-3, -2/5, -1/3, 3
Suppose 403260*t + 502893 - 1676*t**2 + 5*t**3 - 373063 + 688130 - 1174*t**2 = 0. What is t?
-2, 286
Let p = -3238 - -3240. Let x(f) be the second derivative of 0*f**p + 0*f**3 - 3/40*f**5 + 15*f + 0 - 5/8*f**4. Find v, given that x(v) = 0.
-5, 0
Factor 23402/5*m**2 + 303/5*m**3 + 9000 + 1/5*m**4 + 13620*m.
(m + 1)*(m + 2)*(m + 150)**2/5
Let s(y) be the first derivative of -2*y**3/51 - 18*y**2/17 + 350*y/17 - 1. Solve s(c) = 0 for c.
-25, 7
Suppose 30*y - 112*y + 860 = 133*y. Let b(w) be the first derivative of -5*w**3 + 5/4*w**y - 1 + 0*w + 5*w**2. Let b(a) = 0. What is a?
0, 1, 2
Let o(x) be the second derivative of 0 + 35/6*x**3 - 53*x + 0*x**2 + 155/6*x**4 - 27/8*x**6 + 531/16*x**5. Factor o(h).
-5*h*(h - 7)*(9*h + 2)**2/4
Let n(j) be the first derivative of -j**7/630 + j**6/90 + j**5/9 - 2*j**3/3 + 9*j - 54. Let y(o) be the third derivative of n(o). Factor y(u).
-4*u*(u - 5)*(u + 2)/3
Let z(j) be the second derivative of -j**5/80 + 15*j**4/16 + 259*j**3/8 + 2891*j**2/8 + 2791*j. Find t such that z(t) = 0.
-7, 59
Let r be 11094/(-18)*((-5)/(-3) - 1). Let o = 412 + r. Determine n, given that o*n**2 - 2/3*n**4 - 4/9 - 2/9*n + 2/9*n**3 = 0.
-1, -2/3, 1
Let l(g) = -3*g**2 - 26*g - 11. Suppose 26*q = -4*q - 240. Let i be l(q). Suppose 0*b - 34/3*b**4 - 32/3*b**3 + 0 - 8/3*b**2 - 10/3*b**i = 0. What is b?
-2, -1, -2/5, 0
Suppose -84*a + 78 - 246 = 0. Let o be (-399)/(-294) + a/(-14). Determine f, given that -6*f + 3/2*f**3 - o*f**2 + 6 = 0.
-2, 1, 2
Let z(q) be the second derivative of -5*q**4/12 + 80*q**3 - 2275*q**2/2 - 2442*q. Factor z(r).
-5*(r - 91)*(r - 5)
Suppose 7 = -p + 9. Let h = 203 - 199. Factor h*j**2 + 10*j**3 - 2*j**3 - 10*j**3 - 2*j**p.
-2*j**2*(j - 1)
Let d be (-16)/(84*4/(-1380)). Suppose -16/7*m + 176/7*m**2 - d*m**3 + 0 + 300/7*m**4 = 0. Calculate m.
0, 2/15, 2/5, 1
What is k in 44*k**3 + 135*k**2 + 124*k**3 + 6*k + 44*k - 318*k**3 - 35*k**4 = 0?
-5, -2/7, 0, 1
Factor -1194483/4 + 1893/2*l - 3/4*l**2.
-3*(l - 631)**2/4
Suppose -57*g = 19455 + 27285. Let s be 2/5 - 1722/g. Factor 1/2*i**3 - 3/2 - s*i**2 + 7/2*i.
(i - 3)*(i - 1)**2/2
Let s = 398 - 404. Let p be 0*9/108*s. Factor 0*k + 4/5*k**4 + p*k**2 + 2/5*k**5 + 0 + 2/5*k**3.
2*k**3*(k + 1)**2/5
Let f(n) = -36*n**2 - 68*n - 17. Let z be f(6). Let b = z + 1724. Solve 0*w + 0 - 2/5*w**b - 2/15*w**4 - 4/15*w**2 = 0.
-2, -1, 0
Let c be (2/(-4))/((-10)/4). Let g = 14011/205 + -2794/41. Factor 0 + c*u**3 - g*u**4 + 3/5*u + u**2.
-u*(u - 3)*(u + 1)**2/5
Let i(u) be the first derivative of -u**3/12 - 39*u**2/8 - 56*u - 1590. Factor i(v).
-(v + 7)*(v + 32)/4
Let w be (-6)/(42/7)*0/1. Suppose 2*x + 3*d - 269 = w, 4*d = -2*x - 0*x + 274. Suppose -x*t**2 + 7 - 25 + 16*t + 129*t**2 = 0. What is t?
-9, 1
Let h(s) = 94*s**2 + 64*s - 678. Let f(j) = -8*j**2 + j - 1. Let m(c) = -12*f(c) - h(c). Factor m(t).
2*(t - 23)*(t - 15)
Let h(v) = -8*v**4 - 23*v**3 - 205*v**2 - 169*v - 7. Let g(c) = -5*c**4 - 11*c**3 - 103*c**2 - 85*c - 4. Let n(p) = -7*g(p) + 4*h(p). Solve n(y) = 0 for y.
-3, -1, 0, 9
Let u = 270427 - 1622561/6. Factor -1/3*p**3 + 0 + u*p**4 + 1/3*p - 1/6*p**2.
p*(p - 2)*(p - 1)*(p + 1)/6
Let y be (-2)/15 - (-838916)/780. Let d = y - 1075. Find k such that -3/5*k - d - 1/5*k**2 = 0.
-2, -1
Let o(y) be the second derivative of -5/9*y**4 + 26 - 23/9*y**3 - y - 1/30*y**5 - 14/3*y**2. Factor o(q).
-2*(q + 1)*(q + 2)*(q + 7)/3
Let t(a) be the third derivative of a**8/840 - 368*a**7/525 + 7503*a**6/50 - 60516*a**5/5 - 620289*a**