 2)*(j + 3)/5
Let d(s) be the second derivative of -s**5/100 + 181*s**4/30 - 718*s**3/15 + 716*s**2/5 - 24*s + 3. Let d(n) = 0. Calculate n.
2, 358
Let i(z) be the second derivative of 1/120*z**5 + 11/36*z**3 + 312*z + 1/12*z**4 + 1/2*z**2 + 0. Factor i(y).
(y + 1)*(y + 2)*(y + 3)/6
Let h(n) be the third derivative of 0*n**4 + 1/336*n**8 - 3/20*n**5 + 0*n + 1/42*n**7 + 1/40*n**6 + 0 + 0*n**3 + 4*n**2. Determine z so that h(z) = 0.
-3, 0, 1
Let j(g) be the third derivative of -35*g**2 + 0*g + 0*g**3 + 2 + 1/90*g**5 - 19/18*g**4. Factor j(l).
2*l*(l - 38)/3
Suppose 3*c + 782 = 812. Let u(b) be the second derivative of -2/11*b**2 + 0 + 7/33*b**3 + 3/110*b**5 - c*b - 4/33*b**4. Factor u(x).
2*(x - 1)**2*(3*x - 2)/11
Let p be 6/10 - 323/(-95). Let -100*z**2 + 0*z**4 + 12*z - z**p - 12*z**3 + 91*z**2 - 2*z**4 + 12 = 0. What is z?
-2, -1, 1
Let f(r) be the third derivative of 2*r**7/525 - 2*r**6/75 + r**5/60 + 19*r**4/120 + r**3/5 - 863*r**2. Factor f(i).
(i - 3)*(i - 2)*(2*i + 1)**2/5
Suppose 0 = 2*a + 4*p - 11 + 5, a - 3 = -p. Let 301 - 4742*k**2 + 1151 + 3*k**a + 4613*k**2 + 1320*k = 0. Calculate k.
-1, 22
Let x(a) be the second derivative of a**6/280 - a**5/140 - a**4/28 - 16*a**2 + 36*a. Let i(b) be the first derivative of x(b). Factor i(v).
3*v*(v - 2)*(v + 1)/7
Let t(m) be the second derivative of 5*m**4/24 - 5*m**3/2 - 35*m**2/4 - 2*m + 890. Factor t(i).
5*(i - 7)*(i + 1)/2
Let i(b) be the second derivative of 3*b**5/20 + 37*b**4 - 451*b**3/2 + 453*b**2 + 8118*b. Determine w, given that i(w) = 0.
-151, 1, 2
Factor -2*v**2 + 520*v + 331 - 576*v + 874 + 1127 - 2274*v.
-2*(v - 1)*(v + 1166)
Let q = -256 + 275. Let o be (q/(1197/(-54)))/(-3). Find w, given that 0*w + 0 + 2/7*w**2 + o*w**3 = 0.
-1, 0
Suppose -2*f + 56 = 2*n + n, 5*n = -2*f + 56. Suppose -15*x + 17 = -f. What is d in d**2 + 2 - 3*d + 5*d + 18*d**3 - 3*d**2 - 20*d**x = 0?
-1, 1
Let g(u) be the first derivative of 4*u**3/3 + 122*u**2 - 3168*u - 1285. Find x such that g(x) = 0.
-72, 11
Let p be ((-4)/35)/(12/(-30)). Let s = 51808 + -51806. Factor 12/7*y + p*y**s + 10/7.
2*(y + 1)*(y + 5)/7
Let d = 1465 - 1463. Suppose -j - 530 = -3*j + 4*p, 0 = -3*j + 5*p + 798. Suppose z**2 - 5*z**2 - 268*z**3 - 3*z**4 + z**5 + j*z**3 + 3*z**d = 0. Calculate z.
0, 1
Let o be 46/18 + (-81)/(-9) + -11. Let h(w) be the first derivative of -w - o*w**3 + 7/6*w**2 - 21 + 1/12*w**4. Factor h(c).
(c - 3)*(c - 1)**2/3
Let g = 177 - 180. Let n be (6 + g + -1)*(-6)/(-8). Factor -n*p - 1/2*p**2 - 1.
-(p + 1)*(p + 2)/2
Let o(g) = -113*g - 162. Let x be o(-2). Let v be 4/(x/136) - 12/2. Factor 5*j**2 - 15/2*j + v*j**5 - 15/2*j**4 + 5*j**3 + 5/2.
5*(j - 1)**4*(j + 1)/2
Let d = 289 - 240. Factor d - 81 + 3*s**2 - 211 - 6*s**2 + 54*s.
-3*(s - 9)**2
Factor 156025/3 + 1/3*d**2 - 790/3*d.
(d - 395)**2/3
Let x(w) be the first derivative of 2*w**3/51 - 308*w**2/17 + 72*w - 3567. Find v, given that x(v) = 0.
2, 306
Let l(j) be the second derivative of j**9/83160 - j**8/5280 + j**7/924 - j**6/440 - 41*j**4/6 + 263*j. Let n(b) be the third derivative of l(b). Factor n(u).
2*u*(u - 3)**2*(u - 1)/11
Factor -22/3*o**2 - 68 - 226/3*o.
-2*(o + 1)*(11*o + 102)/3
Let q(b) be the third derivative of -b**7/70 - b**6/4 - 5*b**5/4 + 25*b**2 + 27*b. Factor q(d).
-3*d**2*(d + 5)**2
Let d = -3300 - -3303. Let a(l) be the first derivative of -l**3/3 - 3*l**2/2 + 19*l - 2. Let r(u) = -4*u + 20. Let i(k) = d*r(k) - 4*a(k). Factor i(t).
4*(t - 2)*(t + 2)
Let s = 1191 + -1176. Let y be (-35)/63*1*(-9)/s. Factor -48 - 8*z - y*z**2.
-(z + 12)**2/3
Let j(i) be the first derivative of i**5/45 - 43*i**4/12 - 695*i**3/9 - 10675*i**2/18 - 2000*i - 876. Suppose j(g) = 0. What is g?
-5, 144
Factor 157423*m - 4*m**2 + 75 + 16 + 85 - 157503*m.
-4*(m - 2)*(m + 22)
Let a = -38254 - -38256. Let v(u) be the second derivative of 11*u**a - 4*u**3 + 1/6*u**4 + 0 - 49*u. Determine n so that v(n) = 0.
1, 11
Let v = -323 - -327. Find z, given that 17 + 12*z + v*z**3 - 17 - z**3 + 12*z**2 = 0.
-2, 0
Let b be 3/(-12)*0/(2/(-1)). Suppose b = -403*a + 411*a - 72. Factor -9 + a*f - 3*f**2 + 1/3*f**3.
(f - 3)**3/3
Factor 0 - 70/9*u + 22/3*u**2 - 2/9*u**4 + 2/3*u**3.
-2*u*(u - 7)*(u - 1)*(u + 5)/9
Let a be 1/((-11)/(-1760)*-5). Let u be (-12 + a)/(-11) + (-4)/(-2). Factor 2/9*m**5 + 20/9*m**3 + 14/9*m**4 - 4*m**2 - 6*m + u.
2*(m - 1)**2*(m + 3)**3/9
Solve -28/3*r**4 - 2/3*r**5 + 28/3*r**2 - 34*r + 104/3*r**3 + 0 = 0.
-17, -1, 0, 1, 3
Let n be (0/6444)/((-2 - -3)*1). Factor 36/7*w**2 + 3/7*w**4 - 18/7*w**3 + n - 24/7*w.
3*w*(w - 2)**3/7
Let i(l) = -475*l**2 - 9050*l + 9015. Let q(n) = -67*n**2 - 1293*n + 1288. Let g(u) = 12*i(u) - 85*q(u). Solve g(v) = 0 for v.
1, 260
Factor -103688*v + 2222*v**3 - 63*v**4 + 1236541*v**2 + 28*v**4 + 36*v**4 + 1232100 + 2570108*v.
(v + 1)**2*(v + 1110)**2
Let q = -18630 + 18643. Let l(b) be the second derivative of 11/6*b**3 - 3*b**2 + 1/30*b**6 - 3/20*b**5 - 1/4*b**4 - q*b + 0. Solve l(h) = 0 for h.
-2, 1, 3
Let o(r) be the first derivative of r**4/6 + 554*r**3/9 + 274*r**2/3 - 368*r - 9240. Let o(u) = 0. What is u?
-276, -2, 1
Suppose -22*h = 11*h - 99. Solve -h + 3*x - 8*x**3 + 5*x**3 + 6 + 3*x**2 - 6 = 0.
-1, 1
Let g(f) be the second derivative of f**6/15 - 227*f**5/5 + 52429*f**4/6 - 68100*f**3 + 202500*f**2 - 6660*f. Factor g(u).
2*(u - 225)**2*(u - 2)**2
Let d(n) = -55*n - 273. Let l be d(-5). Let h(x) be the first derivative of -6/7*x**l - 5/7*x**3 - 23 + 0*x - 3/28*x**4. Suppose h(z) = 0. What is z?
-4, -1, 0
Let i(d) = 106*d - 1889. Let t be i(18). Let k(n) be the second derivative of -5/21*n**4 + 0 - 4/35*n**5 - 4/21*n**3 + t*n + 0*n**2 - 2/105*n**6. Factor k(q).
-4*q*(q + 1)**2*(q + 2)/7
Factor 368*y**2 - 1260*y + 370*y**2 - 1105*y**2 - 79380 + 362*y**2.
-5*(y + 126)**2
Let f(g) be the third derivative of g**6/30 + 4*g**5 - 41*g**4/2 + 124*g**3/3 + 1349*g**2 + 2. Suppose f(x) = 0. What is x?
-62, 1
Let j(d) be the second derivative of d**7/1260 + d**6/36 - 13*d**5/20 - 35*d**4/6 - 7*d - 4. Let i(v) be the third derivative of j(v). What is p in i(p) = 0?
-13, 3
Let o be (-5 - 57/(-15))/(6/(-40)). Let a be ((-10)/12*3)/((-10)/o). Let 0 - 3/7*c**a + 4/7*c - 1/7*c**3 = 0. Calculate c.
-4, 0, 1
Let t(j) be the second derivative of 1/54*j**4 + 2/9*j**2 - 1/9*j**3 + 174*j + 0. Factor t(q).
2*(q - 2)*(q - 1)/9
Suppose -4*l + 4*a = 4, 5 = -3*l + 4*a + 1. Let k(c) be the first derivative of 8/5*c**5 - 3*c**4 + 11 - 1/2*c**2 + l*c + 2*c**3. Factor k(t).
t*(2*t - 1)**3
Suppose -10 = 5*o - 5*q, -5*o + 9 + 9 = 2*q. Factor 8*u**2 - o*u**3 - 2*u**3 + 5*u**4 - 3*u**2 - 7*u**3 + u**3.
5*u**2*(u - 1)**2
Let i be (-1672)/627*(-6)/20. Let p(u) be the first derivative of -1/5*u**2 + 2/3*u**3 - i*u - 1/5*u**4 - 12. Factor p(s).
-2*(s - 2)*(s - 1)*(2*s + 1)/5
Factor -12765/2*u - 1/2*u**3 - 13225 + 114*u**2.
-(u - 115)**2*(u + 2)/2
Let h = -203473 - -203476. Determine d so that -2/5*d**5 - 4*d - 10*d**h - 54/5*d**2 - 18/5*d**4 + 0 = 0.
-5, -2, -1, 0
Let d(r) be the first derivative of 3*r**4/4 + 48*r**3 - 459*r**2/2 + 251. Factor d(w).
3*w*(w - 3)*(w + 51)
Let x(k) be the first derivative of -k**5/60 - 5*k**2 + 2*k - 74. Let o(i) be the second derivative of x(i). Factor o(n).
-n**2
Let d(f) be the second derivative of f**6/900 - f**5/100 + 2*f**3/3 - 7*f**2 + 5*f + 1. Let b(v) be the second derivative of d(v). Factor b(l).
2*l*(l - 3)/5
Suppose 0 = -173*l + 349*l - 142*l. Factor 0*r**2 + 2/21*r + l - 2/21*r**3.
-2*r*(r - 1)*(r + 1)/21
Let r(t) be the second derivative of 0*t**2 - 46*t - 18/85*t**5 + 0 + 11/102*t**4 + 5/51*t**3. Factor r(a).
-2*a*(4*a + 1)*(9*a - 5)/17
Suppose 15 = -3*z - 9. Let s be (-1)/(((-2)/z)/((-54)/288)). Factor -3 + 3*b + s*b**2 - 3/4*b**3.
-3*(b - 2)*(b - 1)*(b + 2)/4
Factor -38/7*n**2 - 648/7 - 396/7*n - 1/7*n**3.
-(n + 2)*(n + 18)**2/7
Let l be ((-20)/15)/(5/(-210)). Find v such that -13*v**2 - l*v**3 + 52*v**3 + 8 + 4*v + 5*v**2 = 0.
-2, -1, 1
Let s(w) = 4*w**3 + 3*w**3 - 19*w**2 - 5*w**3 - 3 - 4*w**2. Let n(h) = -h**3 + 1. Let y(p) = -3*n(p) - s(p). Factor y(q).
q**2*(q + 23)
Let m be (-1644)/(-1064) + (-31)/434. Let x = 11/57 + m. Let x*z - 1/3*z**2 + 0 = 0. What is z?
0, 5
Let u be ((-968)/(-48) + -12)*(-6 - (-21 + 7)). Factor 4802/3*v + 2/3*v**3 + 0 + u*v**2.
2*v*(v + 49)**2/3
Let v(k) = k**2 + 17*k - 166. Let u be 