j**8/28 - 122*j**7/105 - 463*j**6/30 + 363*j**5/5 - 4*j**4/3 - 280*j**3/3 - 2575*j**2. Find c such that q(c) = 0.
-5, -1/3, 2/5, 2, 7
Let g(u) be the second derivative of -u**6/30 - u**5/3 - 25*u**4/24 - 114*u**2 - 240*u. Let s(r) be the first derivative of g(r). Find m, given that s(m) = 0.
-5/2, 0
Let o be (525/(-10))/(8250/(-660)). Suppose -3/5*m**5 + o*m + 0 - 18/5*m**3 + 24/5*m**2 - 24/5*m**4 = 0. What is m?
-7, -1, 0, 1
Let q(y) be the second derivative of -y**4/12 - 39*y**3/2 - 1294*y. Suppose q(x) = 0. What is x?
-117, 0
Solve 110 - 31/2*i**2 - 1704*i = 0 for i.
-110, 2/31
Factor 18/13*u**2 + 4/13 - 10/13*u**3 + 2/13*u**4 - 14/13*u.
2*(u - 2)*(u - 1)**3/13
Solve -114/5*d + 3/5*d**5 + 111/5*d**3 - 27/5*d**2 - 9*d**4 + 72/5 = 0 for d.
-1, 1, 2, 12
Let u be (3476/3160)/((-22)/(-5))*32/4. Find q such that -2/9*q**5 + 4/9*q**u + 0*q + 0 + 2/9*q**3 - 4/9*q**4 = 0.
-2, -1, 0, 1
Let a(i) be the first derivative of 0*i**4 - 1/48*i**3 - 9*i + 4 + 0*i**2 + 1/160*i**5. Let m(u) be the first derivative of a(u). Solve m(p) = 0.
-1, 0, 1
Let q = 2819 + -1289. Let b be 4/(-22) - q/(-66). Suppose 33*y**4 - b*y**4 + 5*y**5 - 4*y**3 - 13*y**5 + 2*y**3 = 0. What is y?
0, 1/4, 1
Let j(h) = 2*h - 2. Let l(z) = -z**2 + 32*z - 176. Let f(d) = 4*j(d) + 2*l(d). Factor f(w).
-2*(w - 30)*(w - 6)
Let w(l) be the second derivative of -5/2*l**4 + 160*l - 7/3*l**3 + 0*l**2 - 9/10*l**5 + 0 - 1/15*l**6. Suppose w(v) = 0. Calculate v.
-7, -1, 0
Factor 10*s**4 - 79*s + 26*s**5 - 18 + 32*s + 6*s**3 + 29*s**5 - 54*s**5 - 32*s**2.
(s - 2)*(s + 1)**3*(s + 9)
Suppose 54/7*y**3 - 225/7 - 108/7*y**2 - 390/7*y - 3/7*y**4 = 0. What is y?
-1, 5, 15
Let j be 11*5/55 - (-2 - 2). Let r be (-8)/(-140)*j - (-5)/56. Solve -15/4 + 27/8*b + r*b**2 = 0.
-10, 1
Let s be ((-8 - 1) + 16 + -3)*(-2)/(-4). Let b(w) be the second derivative of -1/24*w**4 + 0 - 33*w + 2*w**s - 1/6*w**3. Solve b(c) = 0.
-4, 2
Suppose -5*j + 4*l = -l - 50, -l = 0. Factor -20*b**3 - 16*b**2 + j*b**4 - 6*b**4 - 8*b**4.
-4*b**2*(b + 1)*(b + 4)
Let a(n) = -n**2 - 778*n - 786. Let l(x) = 1555*x + 1570. Let k(y) = -5*a(y) - 3*l(y). Factor k(w).
5*(w - 156)*(w + 1)
Let v(t) be the third derivative of -1/12*t**4 + 0 - 21*t**2 - 1/3*t**3 + 1/420*t**7 + 1/60*t**6 + 1/40*t**5 + 2*t. Find r such that v(r) = 0.
-2, -1, 1
Let g be 0 - -4 - -3 - 1. Suppose -g*h = -h - 20. Factor -5*a - h*a**4 + 37*a**2 - 14*a - 9*a**2 + 20*a**3 - a - 24.
-4*(a - 6)*(a - 1)*(a + 1)**2
Let l = 9310/17 - 46363/85. Let -1/5*j**5 + 0 - l*j**4 - 36/5*j**3 + 64/5*j - 16/5*j**2 = 0. Calculate j.
-4, 0, 1
Let b = 439 - 432. Let n be b/3 + 623/(-267). Find a, given that -4*a + n + 2/3*a**2 = 0.
0, 6
Let a(m) be the first derivative of m**5/150 + 17*m**4/60 - 7*m**2/2 + 18*m + 24. Let h(g) be the second derivative of a(g). Factor h(u).
2*u*(u + 17)/5
Let q(d) be the second derivative of -d**6/30 - 33*d**5/10 - 45*d**4 - 261*d**3 - 1539*d**2/2 + 12*d - 158. Factor q(x).
-(x + 3)**3*(x + 57)
Suppose 2*v - 1 = 5. Let c be (22 + -48 + 22)/(-2*(-2)/(-4)). Determine q, given that -8/5*q**2 + 8/5*q + 2*q**c - 4/5*q**5 - 4/5*q**v - 2/5 = 0.
-1, 1/2, 1
Let k(u) be the first derivative of -4*u**5/5 + 31*u**4 + 4*u**3/3 - 62*u**2 + 6863. Factor k(x).
-4*x*(x - 31)*(x - 1)*(x + 1)
Let f = -134 - -117. Let s be 7 - ((-952)/(-48))/f. Factor -2/3*o + s*o**3 - 2 + 49/2*o**2.
(o + 3)*(7*o - 2)*(7*o + 2)/6
Let g(b) be the third derivative of -b**7/210 - 91*b**6/45 - 4853*b**5/20 + 1647*b**4/2 - 7442*b**3/9 - 3737*b**2. Determine m so that g(m) = 0.
-122, 1/3, 1
Determine h so that 25*h - 5*h**3 - 20*h**2 - 340 - 327 + 667 = 0.
-5, 0, 1
Factor 1/3*q**3 + 2209/3*q - 94/3*q**2 + 0.
q*(q - 47)**2/3
Let y(n) be the first derivative of n**6/840 + n**3/3 + 7*n**2/2 + 212. Let t(d) be the third derivative of y(d). Factor t(z).
3*z**2/7
Let a(q) be the second derivative of 5*q**7/42 - 2*q**6/3 - 7*q**5/4 + 25*q**4/6 - 2*q + 924. Determine o so that a(o) = 0.
-2, 0, 1, 5
Let v(n) = n**3 + 2*n**2 - 9*n - 1. Let g be v(-4). Factor 9*k**g - 2*k**3 - 23*k - 17*k + 16*k + k**3 - 20*k**2 + 4*k**4.
4*k*(k - 2)*(k + 1)*(k + 3)
Let m be 24450/(-18) + 3 + 21/(-9). Let w = m + 1358. Factor 1 - 4/3*z + w*z**2.
(z - 3)*(z - 1)/3
Factor 2362369 + 3074*i - 67*i**2 + 97*i**2 - 29*i**2.
(i + 1537)**2
Suppose -4*s = 20*b - 22*b - 86, -8 = -2*s. Let g be (b/(-112))/(((-14)/(-24))/7). What is r in 3/4*r**5 + 3*r**4 - 3/2*r**2 - g*r + 3*r**3 - 3/2 = 0?
-2, -1, 1
Let d(r) be the third derivative of -3*r**8/224 - r**7/10 - r**6/15 + 19*r**5/60 + 25*r**4/48 + r**3/3 - 2521*r**2. Solve d(p) = 0.
-4, -1, -1/3, 1
Let y(o) be the third derivative of o**8/3 - 1244*o**7/105 - 2057*o**6/120 + 188*o**5/15 + 163*o**4/24 - 23*o**3/3 + 4123*o**2. Suppose y(h) = 0. What is h?
-1, -2/7, 1/4, 23
Let s(b) = -b**2 - 36*b + 427. Let z be s(9). Let p be z/(-8) + (36 - 33). Find f such that -p*f + 1/2 - 1/4*f**2 = 0.
-2, 1
Let t = 627 - 577. Suppose -t = 5*u - 65. Let -h**2 + 1/4*h**4 + 1/2*h + 3/4 - 1/2*h**u = 0. Calculate h.
-1, 1, 3
Factor -2/11*q**2 + 120/11*q + 1088/11.
-2*(q - 68)*(q + 8)/11
Let i(x) be the second derivative of 81*x**5/5 - 930*x**4 + 2456*x**3/3 - 272*x**2 - 2*x - 25. Factor i(c).
4*(c - 34)*(9*c - 2)**2
Let s(y) be the second derivative of -y**5/10 - 11*y**4/6 - 23*y**3/3 + 35*y**2 - 4*y - 4. Factor s(c).
-2*(c - 1)*(c + 5)*(c + 7)
Let k(x) be the first derivative of 2*x**5/5 - 54*x**4 + 216*x**3 + 139968*x**2 + 3359232*x - 7992. Suppose k(s) = 0. Calculate s.
-18, 72
Determine c, given that 0 - 46/3*c + 1/6*c**2 = 0.
0, 92
Let k be ((-8)/3)/1*(-18)/12. Let y = k - -7. Factor -3*q**3 + q**3 + y*q**2 - 2*q**3 - 8*q + q**2.
-4*q*(q - 2)*(q - 1)
Let l(a) be the second derivative of -a**6/480 + 11*a**5/240 + 111*a**2/2 + 2*a - 9. Let t(b) be the first derivative of l(b). What is h in t(h) = 0?
0, 11
Let w(m) = 3*m**2 - 524*m + 545. Let y(u) = -u**2 + 175*u - 183. Let q(n) = -3*w(n) - 8*y(n). Solve q(c) = 0 for c.
1, 171
Suppose -3*o + 30 = 12*u, -3*o = -4*u + 61 - 43. Factor 0 - z**u - 1/5*z**2 + 4/5*z.
-z*(z + 1)*(5*z - 4)/5
Find p such that -1206*p**3 + 28992*p**2 - 33963*p**2 - 48*p**4 - 5526*p - 1728 + 15*p**4 = 0.
-32, -3, -1, -6/11
Let p(u) be the second derivative of u**4/42 - 61*u**3/21 + 424*u**2/7 - 53*u + 26. Let p(w) = 0. Calculate w.
8, 53
Let u(f) be the first derivative of f**4 + 52*f**3/3 + 52*f**2 - 160*f - 1833. Factor u(g).
4*(g - 1)*(g + 4)*(g + 10)
Let y(h) be the second derivative of h**5/35 - 29*h**4/21 + 320*h**3/21 - 264*h**2/7 + 4374*h + 2. Factor y(o).
4*(o - 22)*(o - 6)*(o - 1)/7
Let d be (2/11)/((-225)/(-10550)). Let j = 80/9 - d. Find z, given that 4/11 - j*z**2 - 2/11*z**3 + 2/11*z = 0.
-2, -1, 1
Factor -538*z**2 + 157*z**2 - 453 + 78 - 3*z**3 - 753*z.
-3*(z + 1)**2*(z + 125)
Suppose -2*c - 3*g - 12 = -52, -g - 66 = -4*c. Let o(w) be the second derivative of 0*w**3 - c*w - 2/45*w**6 + 0*w**5 + 0*w**2 + 0 + 1/9*w**4. Factor o(j).
-4*j**2*(j - 1)*(j + 1)/3
Let g(s) = s**3 - 203*s**2 - 824*s + 20. Let t be g(-4). Let 74/3*p**2 + 24 + 40*p + 2/3*p**t + 20/3*p**3 = 0. What is p?
-3, -2
Let i(f) be the first derivative of 4/9*f**2 + 0*f + 8/27*f**3 - 4/45*f**5 - 90 + 1/27*f**6 - 1/6*f**4. Suppose i(s) = 0. What is s?
-1, 0, 2
Find m, given that -23*m**2 + 69*m**2 + 84 - 180*m - 41*m**2 - 269 = 0.
-1, 37
Let l(u) = 4*u**3 - 3*u**2 + 3*u + 2. Let r(i) be the second derivative of 1/12*i**4 + 1/2*i**2 + 1/6*i**3 + 0 + 16*i. Let m(z) = l(z) - 2*r(z). Factor m(w).
w*(w - 1)*(4*w - 1)
Let a = -399285 - -399285. Factor -3/5*i**4 + a - 12*i**3 + 0*i + 63/5*i**2.
-3*i**2*(i - 1)*(i + 21)/5
Let y be (-14)/3*(-30)/105. Let f = 14477 + -43429/3. Solve y + f*j**3 + 2*j**2 - 2/3*j**4 - 10/3*j = 0 for j.
-2, 1
Let t be (2*(-2)/20 + 404/(-980))/((-5)/42). Factor t*z**2 - 4/7*z**3 + 48/7 - 80/7*z.
-4*(z - 6)*(z - 2)*(z - 1)/7
Let s(y) be the second derivative of -12/5*y**2 + 4*y - 8/75*y**6 + 2/15*y**3 - 2/105*y**7 + 2/3*y**4 + 10 + 0*y**5. Find g such that s(g) = 0.
-3, -2, -1, 1
Let v be 1/(-180)*(-196)/147. Let f(l) be the second derivative of 10*l - 1/15*l**5 + 0 - v*l**6 - 1/54*l**4 + 8/9*l**3 - 16/9*l**2. Factor f(a).
-2*(a - 1)**2*(a + 4)**2/9
Let t(d) be the second derivative of -d**7/840 + 31*d**6/240 + 29*d**4/4 + 128*d + 2. Let i(r) be the third derivative of t(r). Factor i(x).
-3*x*(x