the third derivative of c(q). Find m such that k(m) = 0.
-1, 20
Let w(m) = 8*m**3 - 133*m**2 + 409*m + 556. Let r(i) = 23*i**3 - 398*i**2 + 1229*i + 1666. Let l(u) = 3*r(u) - 8*w(u). Factor l(d).
5*(d - 22)*(d - 5)*(d + 1)
Factor -227/6*h**2 + 31/6*h**3 + 365/6*h - 1/6*h**4 - 28.
-(h - 21)*(h - 8)*(h - 1)**2/6
Let q(s) be the second derivative of -s**7/147 + 2*s**6/5 + 9*s**5/14 - 43*s**4/21 - 921*s + 1. Suppose q(g) = 0. What is g?
-2, 0, 1, 43
Let n(h) be the second derivative of 5*h**4/12 + 65*h**3 + 7605*h**2/2 + 1972*h. Let n(a) = 0. Calculate a.
-39
Factor 12*u - 91*u - 528 + 41*u - 117*u - 3*u**2 - 115*u.
-3*(u + 2)*(u + 88)
Find q, given that -812/15 + 82/3*q - 2/15*q**2 = 0.
2, 203
Let h = -330 + 330. Suppose h = 10*r - r + 7*r. What is g in -6/7*g + 9/7*g**2 + r*g**3 - 3/7*g**4 + 0 = 0?
-2, 0, 1
Let v(d) be the second derivative of 118*d + 0*d**2 + 0 + 0*d**4 - 16/3*d**3 - 1/30*d**6 + 3/10*d**5. Let v(s) = 0. Calculate s.
-2, 0, 4
Let n(r) be the first derivative of 1/6*r**6 - 9/20*r**5 + 1/8*r**4 + 1/4*r - 3/4*r**2 + 2/3*r**3 - 6. Solve n(a) = 0.
-1, 1/4, 1
Let a(t) = -65152*t + 390938. Let p be a(6). Factor 56/5 + 232/5*u + 14/5*u**3 + p*u**2.
2*(u + 2)*(u + 7)*(7*u + 2)/5
Suppose 100*b**4 + 317*b**4 - 5*b**5 - 73*b**4 + 96*b**4 - 440*b**2 + 5*b**3 = 0. What is b?
-1, 0, 1, 88
Let j = 3968 - 3963. Let s(g) be the third derivative of 1/15*g**j - 7*g**2 + 4/9*g**3 + 0 - 1/180*g**6 - 1/4*g**4 + 0*g. Factor s(b).
-2*(b - 4)*(b - 1)**2/3
Factor -134/9 - 23/3*r - 1/9*r**2.
-(r + 2)*(r + 67)/9
Factor -w**5 + 160960341*w**2 + 1202967717*w**2 + 824812*w**3 - 939563686*w + 3323*w**4 - 1777256747*w - 4507802*w**3 + 1356572043.
-(w - 1107)**3*(w - 1)**2
Let v = 36787/2 - 18393. Factor -1/2*b - 1/2*b**2 + v + 1/2*b**3.
(b - 1)**2*(b + 1)/2
Let y be (-16)/160 - 9867/30. Let p = 3628/11 + y. Let -p*j**3 - 2/11*j**2 + 2/11 + 9/11*j = 0. Calculate j.
-1, -2/9, 1
Let n(t) be the second derivative of -65/2*t**3 + t + 113 + 5/12*t**4 - 205*t**2. Factor n(c).
5*(c - 41)*(c + 2)
Suppose -2*y + 4*u + 1894 = 0, 4862 = 5*y + 5*u + 187. Let -m**5 + 4*m**3 - y + 939 = 0. What is m?
-2, 0, 2
What is m in -13/4*m**3 + 0 + 1/4*m**4 - 11/4*m + 23/4*m**2 = 0?
0, 1, 11
Let h(j) be the third derivative of -j**8/448 + 19*j**7/560 + 9*j**6/160 - 19*j**5/40 - 5*j**4/8 - 1638*j**2. Suppose h(d) = 0. What is d?
-2, -1/2, 0, 2, 10
Let y = -334241/3 + 111444. Solve -y*q**4 + 80/3 - 98/3*q**5 + 664/3*q**3 + 632/3*q**2 - 512/3*q = 0 for q.
-2, 2/7, 5/2
Let t(y) = -12*y - 3. Let x be t(-2). Let f = 29 - x. Find m such that -m**5 - 5*m + 2*m - f*m**3 - 4*m**2 - 5*m**4 + 3*m = 0.
-2, -1, 0
Let o(q) be the third derivative of 0*q**3 + 0*q - 17/80*q**5 - 1/8*q**4 + 28*q**2 - 1/40*q**6 + 3. Suppose o(u) = 0. What is u?
-4, -1/4, 0
Let h(q) be the first derivative of q**3/18 + 15*q**2/4 - 182*q/3 - 963. Factor h(c).
(c - 7)*(c + 52)/6
Let g(r) = 9*r**3 - 4*r**2 - 87*r - 114. Let x(s) = -17*s**3 + 8*s**2 + 173*s + 230. Let d(a) = -13*g(a) - 7*x(a). Factor d(v).
2*(v - 8)*(v + 2)*(v + 4)
Let t = 237 + -141. Let h = 100 - t. Suppose 8*s + 2 - 5*s**2 + 17*s**2 + 8*s**3 - 101*s**h + 103*s**4 = 0. Calculate s.
-1
Factor -765*t - 2*t**2 - 1228 - 2*t**2 - 383*t - 84*t.
-4*(t + 1)*(t + 307)
Let c(s) be the first derivative of 0*s**2 + 10/3*s**3 + 1/720*s**6 + 1/80*s**5 + 0*s + 16 + 1/24*s**4. Let z(h) be the third derivative of c(h). Factor z(j).
(j + 1)*(j + 2)/2
Factor 3/4*n**2 - 843/2 - 837/4*n.
3*(n - 281)*(n + 2)/4
Let w be 3381/252 + ((-784)/192 - (-5 - -1)). Determine j, given that 400/3 + w*j + 1/3*j**2 = 0.
-20
Let j be (-5904)/(-1107)*(-12)/(-40). What is z in 0*z + j*z**4 - 36/5*z**2 + 0 + 6/5*z**3 - 2/5*z**5 = 0?
-2, 0, 3
Let f be 1/4 - (-483)/(-92). Let o be 6/f*138/(-92). What is g in 0*g**3 + 0 + 3/5*g**5 - o*g**4 + 0*g + 12/5*g**2 = 0?
-1, 0, 2
Let p(n) be the first derivative of 4/15*n**2 - 131 + 0*n - 2/15*n**3 - 1/30*n**4. Factor p(d).
-2*d*(d - 1)*(d + 4)/15
Let l(a) be the third derivative of 0*a**3 + 1/180*a**6 + 1/1260*a**7 + 0*a - 30*a**2 + 1/72*a**5 + 1/72*a**4 + 0. Solve l(f) = 0.
-2, -1, 0
Solve -246*n**2 + 759*n - 274*n**3 + 521*n**3 - 250*n**3 - 510 = 0 for n.
-85, 1, 2
Let n be -11 + (-19 - (-245)/7). Let 6*p**n + 33/2*p**2 - 39/2*p**4 + 3 + 21/2*p**3 - 33/2*p = 0. What is p?
-1, 1/4, 1, 2
Let m = 8574 - 137183/16. Let l(d) be the third derivative of 0*d - m*d**4 - 1/8*d**3 + 0 - 20*d**2 - 1/80*d**5. Factor l(o).
-3*(o + 1)**2/4
Let d = -112979/15 + 7532. Let z(p) be the second derivative of 0 - 29*p - 98/5*p**2 - 28/15*p**3 - d*p**4. Suppose z(s) = 0. What is s?
-7
Let r(h) be the third derivative of -h**6/60 + 14*h**5/15 - 13*h**4/3 + 13*h**2 + 17. Factor r(u).
-2*u*(u - 26)*(u - 2)
Let l be 1/(-3) + 5/((-90)/(-294)). Suppose h = -3*h + l. Factor z**3 + 14*z**2 - h*z**2 - 9*z**4 + 14*z**3 + 14*z**4.
5*z**2*(z + 1)*(z + 2)
Factor 364/3*l + 370 - 2/3*l**2.
-2*(l - 185)*(l + 3)/3
Let z(x) = -184*x + 52*x + 61*x**2 - 42*x + 2 - x**3. Let t be z(58). Determine r so that -48/5*r - 12/5 + 9/5*r**4 - 33/5*r**t + 12/5*r**3 = 0.
-2, -1, -1/3, 2
Suppose 5*a - 5*n = 50, -17*a = 43*n - 41*n - 37. Solve -4/5*l - 18/5*l**4 - 4/5*l**5 - 18/5*l**2 - 28/5*l**a + 0 = 0 for l.
-2, -1, -1/2, 0
Suppose 5*c - 2*b - 24 = 32, 3*c - 32 = 2*b. Suppose c*d = 16*d. Factor 8/5*f**3 + 4/5*f**2 + 0*f + d - f**4.
-f**2*(f - 2)*(5*f + 2)/5
Let c(y) = -17*y**2 + 75*y - 178. Let k(d) = -23*d**2 + 75*d - 177. Let p(w) = -3*c(w) + 2*k(w). Factor p(s).
5*(s - 12)*(s - 3)
Solve 1/7 + 756*q**2 + 18*q + 10584*q**3 = 0.
-1/42
Let r be -5 + (4 + -18)/(-2). Suppose -r*h = 4*m - 4, -10*m + 15*m + 4*h - 2 = 0. What is x in 0 + 60/7*x**3 + 6/7*x - 39/7*x**m = 0?
0, 1/4, 2/5
Factor -2*z**3 - 2430*z**2 - 64199485 - 103988509 + 35327744 - 984150*z.
-2*(z + 405)**3
Let o be (-8)/(-3)*264/16. Solve -24*t**4 - 15*t**5 - t**3 - t**2 + o*t**4 - 13*t**2 + 16*t**3 - 6*t**2 = 0 for t.
-1, 0, 1, 4/3
Let b be ((-7719)/(-1494))/(3 - 92/32). Find x, given that -16/3 + 88/3*x + 32/3*x**4 - b*x**2 + 34/3*x**3 - 14/3*x**5 = 0.
-2, 2/7, 1, 2
Let t = -3482 - -3518. Let c(a) be the second derivative of -t*a**3 - 1/10*a**5 + 0 - 7*a - 3*a**4 - 216*a**2. Find w, given that c(w) = 0.
-6
Suppose -201/7 - 10*v - 1/7*v**2 = 0. What is v?
-67, -3
Let s(p) be the third derivative of -p**8/420 + 136*p**7/525 - 133*p**6/150 + 22*p**5/25 + 5*p**2 - 2*p + 435. Suppose s(l) = 0. Calculate l.
0, 1, 66
Suppose -j + j = 4*j. Let f be 4433/819 + (-2)/(-14) - j. Factor 22/9*b**2 + 2/9*b**3 + f + 70/9*b.
2*(b + 1)*(b + 5)**2/9
Let p(i) = -i**2 - 9*i + 2. Let h be p(0). Let z(k) = 2*k**3 + 6*k**2 - 31*k - 80. Let s(o) = o + 2. Let r(a) = h*z(a) + 26*s(a). Solve r(x) = 0 for x.
-3, 3
Let n = 703 - 687. Let r be 8/n + (-2 - (-2 - 0)). Factor r*x**3 + 3 + 0*x**2 - 7/2*x.
(x - 2)*(x - 1)*(x + 3)/2
Let c(g) be the first derivative of g**6/180 + g**5/15 + g**4/4 + 4*g**3/9 - 5*g**2/2 + 7*g - 34. Let l(k) be the second derivative of c(k). Factor l(j).
2*(j + 1)**2*(j + 4)/3
Let u be 8 - 17 - -12 - -1. Let s(i) be the first derivative of -4*i**2 - 8*i**3 - 31 - 18/5*i**5 + 25/2*i**u + 0*i. What is q in s(q) = 0?
-2/9, 0, 1, 2
Find x, given that x**4 + 23930*x**3 + 5*x**4 - 24002*x**3 + 76*x**2 + 2*x**5 + 14*x**4 - 26*x = 0.
-13, 0, 1
What is r in 300 + 592*r - 48/5*r**3 - 4/5*r**4 + 1416/5*r**2 = 0?
-25, -1, 15
Let x = -281 - -284. Suppose 2*i**x - 579*i + 587*i - 10*i**2 + 0*i**3 = 0. What is i?
0, 1, 4
Find v such that -1/4*v**2 - 345/4 - 37/2*v = 0.
-69, -5
Suppose 236*x - 352 = 60*x. Determine l, given that 1/5*l**5 + 204/5*l + 89/5*l**3 - 206/5*l**x - 16/5*l**4 - 72/5 = 0.
1, 2, 6
Let x(h) be the third derivative of h**5/30 + 91*h**4/24 - 119*h**3/3 - 345*h**2. Let n be x(-48). Let 40/9*m + 200/9 + 2/9*m**n = 0. Calculate m.
-10
Suppose 2/7*a**3 + 5472150/7*a - 1741967750/7 - 5730/7*a**2 = 0. Calculate a.
955
Let o(t) be the second derivative of t**6/30 + t**5/5 - t**4/12 - 2*t**3/3 + 38*t + 18. Factor o(w).
w*(w - 1)*(w + 1)*(w + 4)
Suppose m = g - 442, 8*m + 2212 = 5*g + 5*m. Factor 4*f**3 - 432 - 112*f**2 - 477 - g + 884*f.
4*(f - 13)**2*(f - 2)
Let j(y) be the third derivative of y**7/210 - 9*y**6/140 - 79*y**5/420 - 3*y**4/28 - y**2 - 550. Solve j(s) = 0 for s.
-1, -2/7, 0, 9
Let s(h) be the second derivative of -3/2*h**2 + 3/20*h**5 + 4*