 + 1)/4
Let f(p) be the second derivative of -p**7/168 - 5*p**6/72 - p**5/8 + 19*p**4/12 - 4*p - 5. Let s(d) be the third derivative of f(d). Factor s(q).
-5*(q + 3)*(3*q + 1)
Let u(i) be the first derivative of i**5/70 - 3*i**4/14 + 8*i**3/21 + 297*i + 230. Let j(r) be the first derivative of u(r). Suppose j(g) = 0. Calculate g.
0, 1, 8
Let p = 3887/2 - 73789/38. Solve 16/19*u**3 + 0 + p*u**2 + 0*u + 2/19*u**4 = 0.
-4, 0
Let s(m) be the third derivative of -m**5/210 + 22*m**4/21 - 85*m**3/7 + 102*m**2. Let s(u) = 0. What is u?
3, 85
Let l(z) be the first derivative of -z**5/30 + 20*z**4/3 - 711*z**3/2 - 40*z**2/3 + 3200*z/3 + 3106. Factor l(v).
-(v - 80)**2*(v - 1)*(v + 1)/6
Let h(s) be the second derivative of s**7/84 + 2*s**6/3 + 19*s**5/10 + 27*s - 8. Suppose h(t) = 0. What is t?
-38, -2, 0
Let z(b) be the first derivative of b**5/20 - 3*b**4/4 + 5*b**3/2 + 41*b**2/2 - 98. Let n(m) be the second derivative of z(m). Determine v, given that n(v) = 0.
1, 5
Let k(t) be the third derivative of t**5/90 - 319*t**4/12 - 958*t**3/9 - 2*t**2 - 31*t + 7. Suppose k(q) = 0. What is q?
-1, 958
Let -38/3*a**2 - 113/3*a - a**3 + 14 = 0. Calculate a.
-7, -6, 1/3
Let f be (272/170)/(-3 - (-581)/35). Factor -22/17 - f*p**2 - 24/17*p.
-2*(p + 1)*(p + 11)/17
Let g(x) be the second derivative of x**7/189 - 77*x**6/135 + 1121*x**5/45 - 14801*x**4/27 + 157757*x**3/27 - 130321*x**2/9 + x - 205. Factor g(s).
2*(s - 19)**4*(s - 1)/9
Let o(h) = 44*h**2 - 108*h + 80. Let s(g) = g**3 - 45*g**2 + 110*g - 78. Suppose 82 - 55 = -9*q. Let r(d) = q*o(d) - 4*s(d). Factor r(j).
-4*(j - 9)*(j - 2)*(j - 1)
What is h in 1/2*h**3 - 117/2*h + 1859/2 - 15/2*h**2 = 0?
-11, 13
Let z = -1332211/3899 - 19/557. Let d = z + 342. Factor -8/7 + d*u**2 + 6/7*u.
2*(u - 1)*(u + 4)/7
Let q(v) be the second derivative of v**4/30 + 59*v**3/5 - 178*v**2/5 - 30*v + 68. Factor q(w).
2*(w - 1)*(w + 178)/5
Let z be (2743/260 - 11) + 12/10. Let t(w) be the first derivative of 6 - w**3 - 1/5*w**5 + 0*w + 1/2*w**2 + z*w**4. Factor t(s).
-s*(s - 1)**3
Let d(v) = -7*v**4 + 16*v**3 - 84*v**2 + 124*v - 52. Let l(s) = -2*s**4 - s**3 + s**2 + s. Let u(q) = -d(q) + 3*l(q). Factor u(o).
(o - 13)*(o - 4)*(o - 1)**2
Let b be 183/15 + (-8)/(-10). Suppose 29 = 2*q + b. Find i such that 4*i + 4*i - 2*i**2 - q*i + 2 = 0.
-1, 1
Suppose -15*y + 32 = -13. Determine p so that -6 - 12*p**5 - 3*p + y*p**4 + 5*p**5 + 2 + 38*p**2 - 5 + 42*p**3 = 0.
-1, 3/7, 3
Let o(g) be the second derivative of g**6/150 + 227*g**5/100 - g**4/20 - 683*g**3/30 - 227*g**2/5 - 2851*g. Factor o(f).
(f - 2)*(f + 1)**2*(f + 227)/5
Suppose -8*v + 203/5*v**2 - 124/5*v**3 - 81/10 + 3/10*v**4 = 0. Calculate v.
-1/3, 1, 81
Let w(u) be the second derivative of -u**4/3 + 26*u**3/3 - 60*u**2 + 337*u. Factor w(l).
-4*(l - 10)*(l - 3)
Let f = 236335 - 1181633/5. What is y in 9 - f*y - 3/5*y**2 = 0?
-15, 1
Suppose -10 = 5*x, -137 = -3*p - 29*x + 33*x. Determine i, given that -4*i + 61 + p + 0 - 4 - 91*i + 15*i**2 = 0.
4/3, 5
Let l(w) be the second derivative of 2 + 2/39*w**4 + 1/130*w**5 + w - 10/13*w**2 - 7/39*w**3. Factor l(j).
2*(j - 2)*(j + 1)*(j + 5)/13
Let w(y) be the second derivative of y**6/165 + 2*y**5/11 + 149*y**4/66 + 490*y**3/33 + 600*y**2/11 + 5803*y. Determine c so that w(c) = 0.
-6, -5, -4
Determine k, given that 2/9*k**3 + 52/9*k + 2*k**2 + 16/3 = 0.
-4, -3, -2
Let z(q) = -5*q**3 + 95*q**2 + 194*q - 30. Let x be z(-2). Find r such that -2/13*r**3 + 6/13 + 2/13*r**x + 10/13*r = 0.
-1, 3
Suppose 2/13*z**4 - 1884/13 - 3758/13*z**2 + 362*z + 934/13*z**3 = 0. What is z?
-471, 1, 2
Let n(x) be the third derivative of -x**6/96 - 3*x**5/16 + 125*x**4/96 + 55*x**3/8 + 596*x**2. Determine o, given that n(o) = 0.
-11, -1, 3
Suppose -k = -3*k + 6. Let y be (608/(-24) + 28)/1. Factor -2/3*f - 4 - 2/3*f**k + y*f**2.
-2*(f - 3)*(f - 2)*(f + 1)/3
Let 0 - 1/2*z**4 + 2*z**3 + 0*z + 5/2*z**2 = 0. What is z?
-1, 0, 5
Let l(w) be the second derivative of w**5/20 - 3*w**4/4 - 20*w**3 - 136*w**2 - 991*w. Factor l(u).
(u - 17)*(u + 4)**2
Let u(p) be the third derivative of -1/20*p**5 + 0 + 0*p**4 + 0*p + 0*p**3 - 9/80*p**6 - 26*p**2 - 9/140*p**7. What is m in u(m) = 0?
-2/3, -1/3, 0
Let y = 244 - 234. Factor -y*q**2 + 507 - 1757 - 14*q**2 - 100*q + 22*q**2.
-2*(q + 25)**2
Let f be (14/6)/(((-4)/9)/(-4)). Suppose -9*m = -16*m + f. Let -2*i**m + 3*i**3 - i + 0*i - 2*i - 2 = 0. Calculate i.
-1, 2
Factor 1365 + 10045*k - 25*k**3 + 3807 - 3080 + 5*k**4 - 29532 - 945*k**2.
5*(k - 7)**3*(k + 16)
Let s(p) = 92*p + 1018. Let z be s(-11). Let h(v) be the first derivative of 1/42*v**z + 0*v**3 + 8 - 1/35*v**5 + 0*v**4 + 0*v + 0*v**2. Factor h(f).
f**4*(f - 1)/7
Let b(y) be the third derivative of -y**7/350 + 7*y**6/50 + 48*y**5/25 + 10*y**4 + 136*y**3/5 + 7639*y**2. Factor b(v).
-3*(v - 34)*(v + 2)**3/5
Suppose 4*u - 42 = -3*t, 0 = -4*t - 3*u + 65 - 2. Let f(p) = 13*p - 232. Let m be f(t). Determine c, given that 11/2*c - 2 - 17/4*c**m + 3/4*c**3 = 0.
2/3, 1, 4
Let u(r) be the second derivative of -r**4/26 + 308*r**3/39 + 103*r**2/13 + 40*r - 21. Factor u(j).
-2*(j - 103)*(3*j + 1)/13
Let q(d) be the third derivative of -19*d + 2*d**2 + 1/2*d**4 + 0*d**3 + 1/70*d**7 + 0 - 1/5*d**5 - 1/40*d**6. Factor q(n).
3*n*(n - 2)*(n - 1)*(n + 2)
Let k be 1368/912*((-3)/9)/(-1). Determine i so that -3/2*i + 0*i**2 + k*i**3 + 1 = 0.
-2, 1
Let 324*i**3 + 338*i**2 + 14177 - 13856 + 964*i + 628*i**2 + i**4 = 0. What is i?
-321, -1
Let b(p) be the second derivative of -p**4/4 + 67*p**3/2 - 99*p**2 + 877*p. Factor b(i).
-3*(i - 66)*(i - 1)
Let i be (9/12)/(-3) + 259250/200. Let f be (-18*(-16)/i)/(4/6). Factor -1/3*t**3 + f*t**2 + 1 + 5/3*t.
-(t - 3)*(t + 1)**2/3
Factor -3178*q - 14*q**3 - 32*q**2 + q**4 + 3178*q.
q**2*(q - 16)*(q + 2)
Let g(i) be the first derivative of -i**4/4 - 31*i**3/3 + 31*i**2/2 - 30*i + 215. Let v be g(-32). Factor -8/5*u + u**v + 0.
u*(5*u - 8)/5
Let s = 35564/53349 - -2/53349. Let -72*t - 144 - 12*t**2 - s*t**3 = 0. What is t?
-6
Let a(s) = s**2 - 31*s - 97. Let d be a(37). Factor -8533 - 24*w - d*w + 1571 - 87*w - 2*w**2.
-2*(w + 59)**2
Factor -125*t**4 + 52*t**4 - 175*t**2 + 48*t**4 + 115*t**3 - 275*t**3.
-5*t**2*(t + 5)*(5*t + 7)
Let h(f) be the third derivative of -78*f**2 + 0 + 1/12*f**5 - 5/3*f**4 - 15/2*f**3 + 0*f. What is n in h(n) = 0?
-1, 9
Let u(c) = -c**2 - 10*c - 19. Let v be u(-7). Suppose -81*k - 11*k**2 + 3*k**3 + 6*k**2 - 31*k**v - 42 = 0. Calculate k.
-1, 14
Let -219961/2 - 469*a - 1/2*a**2 = 0. What is a?
-469
Let j be (-1)/(-2)*(6 + 2). Let a be (-8)/j + (105 - -5). Factor 4*c**2 - 43*c + a - c**2 + 29*c - 22*c.
3*(c - 6)**2
Factor -18*l**2 + 15*l**2 + 1182 - 986*l + 423*l - 616*l.
-3*(l - 1)*(l + 394)
Let q(n) be the second derivative of -n**4/78 + 542*n**3/13 - 660969*n**2/13 + 191*n - 4. Determine h, given that q(h) = 0.
813
Let p be (-640)/(-855) - (-1 + -2)/(864/(-64)). Determine o so that -6/19 + 4/19*o + p*o**2 = 0.
-1, 3/5
Let g(f) = 4*f**2 + 4*f - 3. Let z be g(1). Let i = -1314/5 + 264. Find v, given that -4/5 + 9/10*v**z - 47/10*v**3 - 23/5*v**2 + i*v**4 + 22/5*v = 0.
-2, 1/3, 2
Let z(v) = v**2 + 8*v + 19. Let l be z(-3). Factor -32*p + 4*p**5 + 38*p**l + 24*p**3 + 16*p**2 - 29*p**4 - 29*p**4.
4*p*(p - 2)**3*(p + 1)
Let z = 58 + -63. Let s(i) = 47*i + 237. Let q be s(z). Determine d so that -8 - 16/3*d + 2/3*d**3 + 2/3*d**q = 0.
-2, 3
Let g = -182 + 184. Let 46656 - j**4 + 5*j**4 + 4320*j**g - 445*j**3 + 669*j**3 + 31104*j = 0. What is j?
-18, -2
Let k(p) = p**3 + 7*p**2 + 11*p + 5. Let s be k(-5). Suppose 0 = -s*b - 6*b + 12. Determine c, given that 4*c + 9*c**b - c + 799 - 805 = 0.
-1, 2/3
Let y(j) be the third derivative of -j**6/180 - 19*j**5/30 + 59*j**4/18 + 25*j**2 - 33*j. Factor y(i).
-2*i*(i - 2)*(i + 59)/3
Let u(s) be the first derivative of -s**4/20 - 68*s**3/15 - 161*s**2/2 - 2646*s/5 + 763. Factor u(f).
-(f + 7)**2*(f + 54)/5
Let d(w) be the second derivative of -w**4/15 - 40*w**3/3 - 198*w**2/5 - 3148*w. Factor d(k).
-4*(k + 1)*(k + 99)/5
Let r(x) be the second derivative of -x**5/60 - 311*x**4/6 - 96721*x**3/2 + 6*x + 141. Solve r(m) = 0.
-933, 0
Solve -153/2*n**5 - 582*n**2 + 0 + 579/2*n**4 + 579*n**3 + 60*n = 0.
-2, 0, 2/17, 2/3, 5
Suppose -1798 - 1338 + 1598 - 1444 - 2980*m + 2*m**2 = 0. Calculate m.
-1, 1491
Let 