 7/360*v**5 + 1/1260*v**7 + 0. Solve y(a) = 0 for a.
-4, -3, 1, 2
Suppose 0*g = -2*z - 3*g + 11, g = -3. Let h be 14/2 + (z - 14). Factor -14*x**3 - 4*x**h + 17*x**3 - x**4.
-x**3*(x + 1)
Let k = -3141 + 9425/3. Let m(b) be the second derivative of 24*b + 0 + 0*b**2 - k*b**3 - 5/6*b**4 - 1/5*b**5. Factor m(n).
-2*n*(n + 2)*(2*n + 1)
Determine n, given that 1/9*n**4 - 8/9*n**2 - 1/9*n**3 + 4/3*n + 0 = 0.
-3, 0, 2
Solve -24*t**2 - 7*t + 25*t - 6 + 17 + 27*t**4 - 14 - 18*t**3 = 0.
-1, 1/3, 1
Let z(o) be the second derivative of 2*o**3 + 4*o - 4 - 19/10*o**5 - 1/10*o**6 - 23/12*o**4 + 0*o**2. Determine y so that z(y) = 0.
-12, -1, 0, 1/3
Let k(u) = -u**2 - 24. Let w(y) = -14*y**2 + 550*y - 1380. Let b(d) = -12*k(d) + w(d). Solve b(x) = 0 for x.
2, 273
Let w(f) be the second derivative of -f**6/90 - 5*f**5/6 - 59*f**4/3 - 943*f**3/9 + 2645*f**2/6 + 2765*f. Factor w(y).
-(y - 1)*(y + 5)*(y + 23)**2/3
Factor 1136/5 + 2/5*z**3 + 1708/5*z + 574/5*z**2.
2*(z + 1)*(z + 2)*(z + 284)/5
Let q(j) be the third derivative of 122*j**2 - 8/3*j**3 - 2/45*j**5 - 1/360*j**6 + 0*j + 0 + 11/18*j**4. Let q(z) = 0. Calculate z.
-12, 2
Suppose -2*c + h + 1 = 0, -6 = 3*c - 645*h + 641*h. Let r(k) be the first derivative of -22 + 0*k + 2/7*k**c - 1/7*k**4 + 0*k**3. Factor r(y).
-4*y*(y - 1)*(y + 1)/7
Solve -146*i**2 - 3*i**5 - 402*i**4 + 392*i**2 + 810 + 90*i**3 - 2019*i + 767*i**2 + 324*i**3 + 187*i**2 = 0.
-135, -2, 1
Let g(v) = -v**3 + 12*v**2 + 24*v + 64. Let i be g(14). Factor 8*k**2 - i - 4*k**3 - 2*k**2 + 8*k - 173*k**4 + 171*k**4.
-2*(k - 1)**2*(k + 2)**2
Let y be 34 + -30 - (110/(-154))/(8/(-42)). Suppose -3 + y*f + 1/4*f**2 = 0. What is f?
-4, 3
Let u(k) be the first derivative of k**5/40 + 11*k**4/16 + 5*k**3/2 + 21*k**2 - 163. Let z(o) be the second derivative of u(o). Let z(a) = 0. Calculate a.
-10, -1
Let i(w) be the first derivative of 9*w**4 + 3280*w**3 + 6536*w**2 + 4352*w + 3012. Factor i(y).
4*(y + 272)*(3*y + 2)**2
Let l be (20 - 19)*(-1 - -4 - 2). Suppose -l + 1 = 13*z. Let -2/7*m**3 + 0 + 0*m**2 + z*m = 0. Calculate m.
0
Determine l, given that 12706092/5*l + 4/5*l**3 - 12348/5*l**2 - 4358189556/5 = 0.
1029
Let j(o) be the second derivative of 149 + 504*o**2 + 900*o**4 - 151 + 437*o**2 - 1620*o**3 - 200*o**5 + 45*o + 517*o**2. Factor j(s).
-4*(10*s - 9)**3
Solve -356 + 224 + 182 - 15*a - 5*a**2 = 0 for a.
-5, 2
Let p be 9/7*(93 + (-2992)/33). Factor 3*d**p + 0 - 39/8*d**2 + 9/4*d - 3/8*d**4.
-3*d*(d - 6)*(d - 1)**2/8
Let p(z) be the second derivative of z**4/48 + 65*z**3/24 + 375*z**2/4 - 556*z. Factor p(s).
(s + 15)*(s + 50)/4
Let m = -2 + 12. Let n(q) = 2*q**2 + 8*q + 2. Let r be n(0). Factor 28*z + 24 - 17*z**2 + m*z**2 + 11*z**r.
4*(z + 1)*(z + 6)
Let r(m) be the second derivative of -m**4/48 - 5*m**3/12 + 11*m - 14. Suppose r(o) = 0. What is o?
-10, 0
Let y be 2 - (-10 + 5)*-115. Let u = -6297/11 - y. Suppose -u*c**3 + 0 - 2/11*c**5 - 2/11*c**2 - 6/11*c**4 + 0*c = 0. Calculate c.
-1, 0
Let o(d) be the first derivative of -d**6/120 + 7*d**5/30 - 49*d**4/24 - 3*d**2/2 - d - 61. Let a(y) be the second derivative of o(y). Factor a(r).
-r*(r - 7)**2
Let o(z) = -z**3 - 24*z**2 - 75*z + 105. Let c be o(-20). Let u(g) be the first derivative of 1/3*g**3 - 15 - c*g**2 + 25*g. Factor u(b).
(b - 5)**2
Factor -6*t**2 - 288/7*t + 4320/7 + 3/7*t**3.
3*(t - 12)**2*(t + 10)/7
Let r(o) = -221*o + 6. Let b be r(-1). Suppose 7*i + 171 = b. Determine a, given that -12/5*a**4 - 24/5*a - 4/5 - 48/5*a**2 - i*a**3 = 0.
-1, -1/3
Let j be (-216)/36 - (-7 + -1). Factor -2/9*o**3 + 0 + 0*o - 4/3*o**j.
-2*o**2*(o + 6)/9
Let d be (3 - -4) + (-44)/(38 + 6). Factor 1/3*l**5 + 4/3*l**2 + d*l**3 + 0 - 3*l**4 - 8*l.
l*(l - 6)*(l - 2)**2*(l + 1)/3
Let s(j) be the first derivative of -j**3 + 834*j**2 + 1671*j + 1640. What is k in s(k) = 0?
-1, 557
Factor -71/2 - 1/2*j**2 - 36*j.
-(j + 1)*(j + 71)/2
Let a = 15610/13 + -140360/117. Find z such that 2/9*z**3 - 14/9 - a*z**2 - 26/9*z = 0.
-1, 7
Let b(z) = -3*z + 38. Suppose 43 = 4*f - 5. Let h be b(f). Solve 6/5*j**h - 1/5*j**3 - 12/5*j + 8/5 = 0 for j.
2
Let n be (-1)/5 + -2*(-48)/30. Let 84 + 5*w**3 - 2*w**n + 36*w**2 - 84 + 108*w = 0. Calculate w.
-6, 0
Let n = 1/55876 + 447001/391132. Factor n + 0*v - 2/7*v**2.
-2*(v - 2)*(v + 2)/7
Let w(s) be the second derivative of -s**6/280 + 3*s**5/140 - s**4/28 + s**2/2 + 12*s - 2. Let l(g) be the first derivative of w(g). Factor l(t).
-3*t*(t - 2)*(t - 1)/7
Let s(b) be the second derivative of -3*b**6/5 + 104*b**5/25 - 26*b**4/3 + 16*b**3/5 - 246*b. Find u such that s(u) = 0.
0, 2/9, 2, 12/5
Let d be ((-9)/14)/((-10)/24) - (-224)/(-160). What is z in -1/7 + 2/7*z - d*z**2 = 0?
1
Suppose 15*b - 120 - 150 = 0. Let z = b + 110. Factor -6*i**2 - z + 48*i + 1/4*i**3.
(i - 8)**3/4
Let m(l) be the first derivative of l**4/8 - 11*l**3 + 471*l**2/4 - 203*l + 5184. Factor m(b).
(b - 58)*(b - 7)*(b - 1)/2
Let a be (-22)/55 + 44/10. Factor -48 + 27*q + 44 - a*q**3 - 21*q + 2*q**3.
-2*(q - 1)**2*(q + 2)
Let c be 9/15 + 2/5 + 4. Suppose 2 + 1 = 3*s, 0 = 3*d - 4*s - c. Factor -24*i**4 + 22*i**4 + 7*i**3 - 64*i + 5*i**d.
-2*i*(i - 4)**2*(i + 2)
Let y = 47 + -27. Suppose -g - 2*o = -13, -2 = g - 5*o + y. Factor 4*u**2 - 4*u**2 + 4*u**2 - 6*u + 5*u**3 - 3*u**g.
2*u*(u - 1)*(u + 3)
Suppose 3*t - 44 = 16. Let c(y) = -2*y**3 - 3*y**2 + 23*y + 14. Let g be c(-4). Solve 2*x**2 - t*x**3 + 5*x**2 + 0*x**g + x**2 = 0.
0, 2/5
Let r(b) be the second derivative of b**5/110 - 1181*b**4/66 + 116033*b**3/11 + 349281*b**2/11 - 3368*b. Factor r(y).
2*(y - 591)**2*(y + 1)/11
Let l(v) be the first derivative of v**3/3 - 2387*v**2/10 + 954*v/5 + 530. Factor l(z).
(z - 477)*(5*z - 2)/5
Let j(g) = 18*g - 16. Let w be j(1). Suppose -521 - o**w - 3*o + 521 + o**4 + 3*o**3 = 0. What is o?
-3, -1, 0, 1
Suppose 73 = 12*w - 79 + 104. Let t(h) be the third derivative of 1/20*h**6 + 0 + 7/120*h**5 - 1/6*h**3 - 7/48*h**w + 18*h**2 + 0*h. Factor t(n).
(n + 1)*(3*n - 2)*(4*n + 1)/2
Let n(t) be the first derivative of 8464/9*t + 4/27*t**3 - 184/9*t**2 - 20. Let n(x) = 0. Calculate x.
46
Determine a so that 23*a**2 - 105*a**3 - 106*a**3 + 72 + 31*a + 53*a + 9*a**2 + 215*a**3 = 0.
-3, -2
Let q(v) be the second derivative of -v**7/210 - 37*v**6/150 + 19*v**5/50 + 868*v. Find j, given that q(j) = 0.
-38, 0, 1
Let r(a) be the second derivative of -19652*a**7/63 - 31790*a**6/3 - 197013*a**5/2 - 168915*a**4/4 - 7380*a**3 - 648*a**2 - 497*a + 7. Solve r(z) = 0 for z.
-12, -3/34
Let u(g) be the third derivative of g**6/180 - 43*g**5/90 - 59*g**4/9 - 64*g**3/3 + g**2 - 2885. Factor u(n).
2*(n - 48)*(n + 1)*(n + 4)/3
Factor 26/3 - 4*k - 1/6*k**2.
-(k - 2)*(k + 26)/6
Factor 572*u + 45*u**2 - 87*u**2 + 576 + 38*u**2.
-4*(u - 144)*(u + 1)
Suppose 170*x = 30 + 310. Let d be (-28)/(6/(-2) - -1). Factor -9/2*n**3 - d*n + 17*n**x - 4.
-(n - 2)**2*(9*n + 2)/2
Suppose -275*y + 2931 + 7641 = 3031*y + 218*y. Suppose 4/3*u**y + 112/3 + 16*u - 20*u**2 = 0. Calculate u.
-1, 2, 14
Let c be (-22)/(-10) + (-21)/105 - -101. Factor 3*l**3 - 218*l**2 - 6*l**3 + c*l**2 - 2*l**3.
-5*l**2*(l + 23)
Let z = 1475 + -1468. Let p(w) be the second derivative of -12*w + 0*w**3 + 9/5*w**5 - 3/5*w**6 - 2*w**4 + 0 + 1/14*w**z + 0*w**2. Factor p(q).
3*q**2*(q - 2)**3
Let l(u) be the second derivative of u**5/50 + u**4/5 - u**3/15 - 6*u**2/5 + 236*u - 3. What is o in l(o) = 0?
-6, -1, 1
Suppose 413*d - 32 = 405*d. Let w(v) be the second derivative of 1/6*v**4 + d*v + 1/6*v**3 + 0*v**2 + 1/20*v**5 + 0. Factor w(y).
y*(y + 1)**2
Let g(c) be the second derivative of 76*c - 9/5*c**3 - 1/50*c**5 + 27/5*c**2 + 0 + 3/10*c**4. Factor g(x).
-2*(x - 3)**3/5
Suppose -2372 - 1105*t + 7117 - 2375 + 5*t**3 - 2370 - 20*t**2 = 0. Calculate t.
-13, 0, 17
Let q be (1 + 11)*((8 - 10) + (-248)/(-120)). Let u(a) be the first derivative of -2/5*a - 4/5*a**3 - 2/25*a**5 + 19 + 2/5*a**4 + q*a**2. Factor u(v).
-2*(v - 1)**4/5
Let o = 204 - -25. Let f = -129 + o. Factor -1 + 100*u - 114*u**2 + 125*u**4 - 21 + 9*u**2 - f*u**3 + 2.
5*(u - 1)*(u + 1)*(5*u - 2)**2
Suppose 0 = -3*q + 4*y + 23, 11 = 3*q - 0*y + 2*y. Let x = 62 + -51. Factor j**4 + 2*j**4 + x*j**5 - 14*j**q.
-3*j**4*(j - 1)
Let w(a) be the second derivative of -8*a - 1/6*a**5 - 2/3*a**4 - 4/3*a**3 + 0 - 1/60*a**6 - 5/2*a**2. Let i(c) be the first 