, 3
Factor -11759 + 243619 + 353840 + 285477 + 2*n**2 - 20969 + 2608*n.
2*(n + 652)**2
Let v(s) be the third derivative of s**6/270 + s**5/90 + 22*s**3/3 + 78*s**2. Let j(w) be the first derivative of v(w). Factor j(h).
4*h*(h + 1)/3
Let o(u) be the third derivative of u**6/48 - 8*u**5/3 + 625*u**4/48 - 155*u**3/6 - 626*u**2. Determine t, given that o(t) = 0.
1, 62
Let g be 2/(-10)*2 + (-9048)/(-120) + -75. Let t(j) be the first derivative of -2 + g*j - 8*j**2 - 4/3*j**3. Factor t(i).
-4*i*(i + 4)
Let a(t) be the second derivative of -t**5/80 - 11*t**4/24 - 4*t**3/3 + 20*t**2 - 41*t + 2. Factor a(m).
-(m - 2)*(m + 4)*(m + 20)/4
Let l(s) be the third derivative of 46/45*s**3 - 7/60*s**4 + 24*s - 1/450*s**5 + 0 + 2*s**2. Factor l(n).
-2*(n - 2)*(n + 23)/15
Let v(o) be the second derivative of o**8/336 - 5*o**7/56 + 7*o**6/8 - 49*o**5/24 + 7*o**3 - 10*o. Let a(d) be the second derivative of v(d). Factor a(s).
5*s*(s - 7)**2*(s - 1)
Let l(w) be the second derivative of w**7/1680 + w**6/240 - w**4/12 - w**3/3 + 3*w**2 + 8*w. Let k(u) be the first derivative of l(u). Let k(b) = 0. What is b?
-2, 2
Let -4*w**2 - 30 + 6*w**2 + 141088*w - w**2 - 141101*w - 2*w**2 = 0. What is w?
-10, -3
Let j(v) be the second derivative of -v**6/15 - 13*v**5/5 - 12*v**4 - 70*v**3/3 - 23*v**2 - 417*v. Let j(d) = 0. What is d?
-23, -1
Let j be (7 - (-200)/(-32))/(6/(-16)). Let c be 5/j*(-654)/2725. Suppose -3/5*i - c*i**2 + 6/5 = 0. What is i?
-2, 1
What is f in -12*f**4 - 437*f + 705*f**2 - 272*f - 129*f**3 - 259*f + 107 + 80*f + 73 = 0?
-15, 1/4, 2
Let t(c) = -2*c - 4. Let v be t(-5). Suppose -5*i + 20 = -5. Factor -4*n**2 + 8*n + i*n**3 + 4*n**4 - 13*n**3 - v + 6.
4*n*(n - 2)*(n - 1)*(n + 1)
Let x(v) be the second derivative of v**5/5 + 118*v**4/9 + 518*v**3/9 + 2645*v. Factor x(r).
4*r*(r + 37)*(3*r + 7)/3
Determine b so that 8/13*b**4 - 440/13*b - 2/13*b**5 + 46/13*b**3 - 400/13 - 76/13*b**2 = 0.
-2, 5
Factor -33 - 3*z**2 + 126 - 5175*z - 54 - 39.
-3*z*(z + 1725)
Let v(t) be the third derivative of t**6/24 - 17*t**5/6 - 185*t**4/6 - 380*t**3/3 + 30*t**2 - 5*t. Solve v(l) = 0.
-2, 38
Suppose -56*c - 105*c = 0. Let v(g) be the first derivative of 0*g + 0*g**2 + 3/4*g**4 - 8 + c*g**3. Suppose v(m) = 0. Calculate m.
0
Let w(o) be the second derivative of -9*o**5/160 - 5*o**4/64 + o**3/4 - 117*o**2 - 87*o. Let p(f) be the first derivative of w(f). Let p(x) = 0. Calculate x.
-1, 4/9
Let h be -15 + -2 - 899/(-58) - 46/(-20). Factor -h*p**4 - 2/5*p**2 + 1/5*p**5 - 12/5*p**3 + 6/5 + 11/5*p.
(p - 6)*(p - 1)*(p + 1)**3/5
Let z = 177977/7 + -25425. Factor -4*p + z*p**2 - 30/7.
2*(p - 15)*(p + 1)/7
Factor 1 + 6*g**3 - 7776*g**2 - 1 - g**3 + 75*g + 7816*g**2.
5*g*(g + 3)*(g + 5)
Let l(p) = -10*p**2 + 76*p - 109. Let t be l(5). Let h(o) be the third derivative of 0 + t*o**2 + 0*o - 1/60*o**5 - 1/24*o**4 + o**3. Factor h(v).
-(v - 2)*(v + 3)
Let 11/2*h**3 + 37 - 479/2*h + 197*h**2 = 0. Calculate h.
-37, 2/11, 1
Let o(x) be the first derivative of -x**6/200 - x**5/20 + 3*x**4/20 - x**2/2 + 20*x + 85. Let s(v) be the second derivative of o(v). Factor s(a).
-3*a*(a - 1)*(a + 6)/5
Suppose 4*p - 50 = -5*d, 9*d + 4*p = 7*d + 20. Suppose -35 + 55 = d*l. Factor 3/4*s**3 - 3*s - 3/4*s**l + 3.
3*(s - 2)*(s - 1)*(s + 2)/4
Let y = 374321/21 - 53459/3. Suppose 24/7*j**3 + 16/7*j - y*j**2 + 0 - 4/7*j**4 = 0. What is j?
0, 1, 4
Let i be (-6)/(-12) - (-83)/2. Suppose 9*t - 183 = i. What is m in 12 + 4 - t*m**2 + 21*m**2 = 0?
-2, 2
Suppose -3*s - 4*n + 25 = 0, -2*s - 2*n = -0*n - 18. Let h = 15 - s. Factor -5*d**4 - 2*d**5 - 2 + 6*d + 4*d**h - 4*d**3 + 7*d**4 - 4*d**2.
-2*(d - 1)**4*(d + 1)
Suppose -3*j + 2*j + 8 = 0. Suppose 3*i = -2*f + 18, -5*i + j = f - 5*f. Factor -2*o**5 - 3*o + 3*o - 3*o**5 - 5 - 5*o**4 + 10*o**2 + 10*o**f - 5*o.
-5*(o - 1)**2*(o + 1)**3
Let c be ((-81)/(-6))/((177 + -181)*1*(-2)/8). Suppose -582*l + 144 - 711/2*l**3 + 780*l**2 + c*l**4 = 0. What is l?
2/3, 1, 24
Let q be (-14)/(-6) + -1 + 0. Let t be (144/(-864))/(4 - 292/72). Suppose 10/3*u**4 + q*u + 2/3*u**5 + 0 + 6*u**t + 14/3*u**2 = 0. What is u?
-2, -1, 0
Let t(g) = 1 - 18*g - 4*g**2 + 3*g**2 - 36 - 30. Let q be t(-5). Find y such that -5*y + 0*y**2 + 5/4*y**3 + q = 0.
-2, 0, 2
Let w be 84/126*1/((-6)/10719). Let x = -1189 - w. Factor -2/21*v**x - 8/21*v - 2/7.
-2*(v + 1)*(v + 3)/21
Let a be -6*(3/18)/((-2)/4). Suppose -6*r + 26 = a*i - r, r - 4 = 0. Factor -4*y**2 - 3*y**3 + 44*y - 47*y + i*y**2 - 5*y**2.
-3*y*(y + 1)**2
What is t in -70*t - 36 + 281 - 20*t**4 - 20*t**3 + 497*t - 510*t**2 + 553*t + 1485*t**2 = 0?
-7, -1/2, 7
Solve 17/4*z**5 + 135/2*z**4 + 321/4*z - 59*z**2 - 169/2*z**3 - 17/2 = 0.
-17, -1, 2/17, 1
Solve 5*n**2 - 5106851 + 761*n + 9471763 + 15399*n + 8692368 = 0 for n.
-1616
Let q(u) be the first derivative of -9/2*u**3 - 3*u + 15/8*u**4 - 112 + 21/4*u**2 - 3/10*u**5. Solve q(f) = 0.
1, 2
Let a(w) be the second derivative of -w**5/5 + 614*w**4/3 - 816*w**3 - 8709*w. Determine i so that a(i) = 0.
0, 2, 612
Suppose 1588*c - 77*c**4 - 240 - 1651*c**3 - 808*c**2 - 230*c**2 - 1102*c**2 = 0. Calculate c.
-20, -2, 3/11, 2/7
Suppose -8*c - 128 = -40*c. Solve -3518*f**4 - 4*f**3 + 4*f**2 + 3517*f**c + f**3 = 0 for f.
-4, 0, 1
Let q(s) = 12*s**4 - 108*s**3 + 358*s**2 - 448*s + 130. Let b(a) = -a**4 + 2*a**3 + a**2 - 1. Let z(y) = 2*b(y) + q(y). Find p such that z(p) = 0.
2/5, 2, 4
Find w, given that 1/3*w**3 - 115*w - 64/3*w**2 + 0 = 0.
-5, 0, 69
Let x be (-6)/(-80)*1008/(-1134)*-3. Factor x*i**2 + 6 - 31/5*i.
(i - 30)*(i - 1)/5
Let v be (-5320)/(-1900) - 67/24. Let z(u) be the third derivative of -1/6*u**4 + 0 - 5*u**2 - 4/3*u**3 - v*u**5 + 0*u. Suppose z(p) = 0. What is p?
-4
Let w(y) be the third derivative of y**2 - 2*y**4 - 1/5*y**6 - 4/5*y**5 - 1/35*y**7 + 3*y - 1/560*y**8 - 16/5*y**3 + 0. Factor w(j).
-3*(j + 2)**5/5
Let r(v) be the third derivative of v**8/1848 - 554*v**7/1155 + 18763*v**6/165 + 231844*v**5/165 + 21280*v**4/3 + 627200*v**3/33 + 8*v**2 - v - 5. Factor r(u).
2*(u - 280)**2*(u + 2)**3/11
Find x such that -17607*x - 672*x**2 + 4*x**5 - 106 - 86 + 18199*x - 72*x**4 + 340*x**3 = 0.
1, 2, 12
Let m = -409 + 415. Let h be -1*(-1 - 5) + m/(-1). Factor h + 3/4*u**2 - 3/4*u**3 + 0*u.
-3*u**2*(u - 1)/4
Let s be 1/((-120)/48 + 14 + -9 + 2*-1). Factor -2/5 - 2/5*x + 2/5*x**s + 2/5*x**3.
2*(x - 1)*(x + 1)**2/5
Let c = -50 + 39. Let o be (-6)/(-4) + (c/(-2))/1. Determine z so that -6 + 6 - o*z - 8*z**2 + 16*z**3 - 1 = 0.
-1/4, 1
Let c(y) be the first derivative of 5*y**4/4 - 85*y**3/3 + 75*y**2 + 11199. Factor c(i).
5*i*(i - 15)*(i - 2)
Let v = -160785/136 - -937/17. Let z = -1127 - v. Factor -z + 3/8*y + 1/8*y**3 - 3/8*y**2.
(y - 1)**3/8
Let 126/5*z - 3/5*z**2 + 1029/5 = 0. What is z?
-7, 49
Let n(r) = -20*r**3 - 525*r**2 + 10*r + 525. Let b(y) = -11*y**3 - 263*y**2 + 5*y + 263. Let l(g) = -5*b(g) + 3*n(g). Factor l(m).
-5*(m - 1)*(m + 1)*(m + 52)
Let x(w) be the first derivative of 2/3*w**3 + 2*w**2 - 6*w - 64. Factor x(k).
2*(k - 1)*(k + 3)
Let r(o) be the second derivative of 2*o**6/15 - 71*o**5/5 + 431*o**4 - 2170*o**3/3 - 4900*o**2 + 2275*o + 1. Suppose r(w) = 0. What is w?
-1, 2, 35
Let r(q) be the first derivative of 2*q**4/5 + 452*q**3/15 + 748*q**2/5 + 636*q/5 + 769. Solve r(w) = 0.
-53, -3, -1/2
Determine y, given that -663/2*y**2 + 1034/3*y**3 - 242/3*y**4 - 9/2 + 72*y = 0.
3/22, 1, 3
Let c = 715 + -1201. Let t = 488 + c. Factor -9/7*m**t + 3/7*m**3 - 3/7*m + 3/7*m**4 + 6/7.
3*(m - 1)**2*(m + 1)*(m + 2)/7
Let g = -343 + 390. Suppose -y = -2*t + 7*t - g, 31 = 4*t + 3*y. Solve t*m**4 + 138/5*m**2 + 8/5 - 28*m**3 - 56/5*m = 0.
2/5, 1
Solve 42*k**2 + 7*k**3 + 4*k**3 - 475*k - k**2 - 301*k + 140 - 10*k**2 = 0.
-10, 2/11, 7
Let a(v) be the third derivative of 1/1020*v**6 + 13/102*v**4 - 8/17*v**3 + 0*v - 3/170*v**5 - 153*v**2 + 0. Suppose a(g) = 0. Calculate g.
2, 3, 4
Let m(b) be the second derivative of -2*b**7/21 + 18*b**6/5 - 194*b**5/5 + 142*b**4/3 + 130*b**3 - 338*b**2 + 1911*b. Suppose m(r) = 0. What is r?
-1, 1, 13
Let t(x) = 38*x**3 - 24*x**2 - 116*x - 108. Let w(k) = 32*k**3 - 24*k**2 - 117*k - 106. Let s(a) = 5*t(a) - 6*w(a). Solve s(b) = 0.
-3, -1, 16
Let s(h) be the first derivative of h**7/210 - 7*h**6/120 + 13*h**5/60 + h**4/8 - 3*h**3 + 10*h**2 + 74. Let i(f) be the second der