 be the first derivative of 2*k**6 + 3*k**5 - 189*k**4/4 - 80*k**3 - 24*k**2 - 1963. Let n(l) = 0. Calculate l.
-4, -1, -1/4, 0, 4
Factor 0*q + 0 + 720/11*q**2 - 2/11*q**3.
-2*q**2*(q - 360)/11
Let j(i) be the second derivative of i**5/270 + 17*i**4/54 + 289*i**3/27 - 11*i**2/2 + 5*i. Let o(a) be the first derivative of j(a). Factor o(t).
2*(t + 17)**2/9
Factor -10*c**2 - 36*c**3 - 1041427 + 3*c**4 + 51*c**2 - 174*c + 94*c**2 + 1041499.
3*(c - 6)*(c - 4)*(c - 1)**2
Let m(u) be the third derivative of -u**9/3780 - u**8/84 + u**4/4 - 7*u**3/6 - 63*u**2. Let r(f) be the second derivative of m(f). Factor r(z).
-4*z**3*(z + 20)
Let j(g) be the third derivative of -5*g**8/336 + 23*g**7/42 + 17*g**6/4 + 79*g**5/6 + 535*g**4/24 + 45*g**3/2 - 197*g**2 - 14*g. What is c in j(c) = 0?
-1, 27
Suppose -11*k = -15*k. Let m be (-6)/(-45)*(10 - (7 - k)). Find u such that -26/5*u**3 - 8/5*u + 0 - m*u**5 + 24/5*u**2 + 12/5*u**4 = 0.
0, 1, 2
Let g(o) be the first derivative of o**4/16 + 17*o**3/6 + 44*o**2 + 288*o - 11801. Find l such that g(l) = 0.
-18, -8
Let y(n) = 165*n - 21*n**2 - 18*n**2 - 4*n**2 + 101 + 67*n**2. Let t(q) = -12*q**2 - 83*q - 51. Let d(g) = 5*t(g) + 3*y(g). Find u, given that d(u) = 0.
-6, -2/3
Let m(c) be the third derivative of c**7/35 - 51*c**6/40 + 23*c**5/20 + 51*c**4/8 - 25*c**3/2 - 832*c**2. Let m(w) = 0. Calculate w.
-1, 1/2, 1, 25
Factor 507*m + 5521 - 5521 - 3*m**2.
-3*m*(m - 169)
Let z be (-1*46/(-4))/((-2)/(-124)). Determine d, given that 11*d + 718*d**2 + 9*d + 15 - z*d**2 = 0.
-3, -1
Let z(u) be the first derivative of -5*u**3/6 + 1545*u**2/2 - 477405*u/2 + 6040. Factor z(p).
-5*(p - 309)**2/2
Let o = -400025 - -400027. Determine r, given that 4*r**3 - 11/2 + 16*r + 1/2*r**4 - 15*r**o = 0.
-11, 1
Suppose -52*i - 5*u + 30 = -53*i, 0 = 2*i - 4*u + 54. Let w = 25 + i. Factor -m**2 - 5/4*m**4 + 2*m**3 + 0*m + w + 1/4*m**5.
m**2*(m - 2)**2*(m - 1)/4
Let y(p) = -4*p**3 + 200*p**2 - 206*p - 386. Let n(a) = -5*a**3 + 201*a**2 - 210*a - 384. Let w(u) = -3*n(u) + 4*y(u). Factor w(r).
-(r - 196)*(r - 2)*(r + 1)
Let m(l) be the second derivative of -1/4*l**5 - 135/2*l**2 - 45/2*l**3 - 15/4*l**4 + 2 - 2*l. Factor m(k).
-5*(k + 3)**3
Let p(q) = 2*q**2 + 10*q + 13. Let l be p(-2). Let h(j) = j**4 + j**3 + j**2 - j. Let v(s) = -12*s**4 - 8*s**2 + 4. Let c(u) = l*v(u) + 8*h(u). Factor c(a).
-4*(a - 1)**3*(a + 1)
Let n(h) = -3*h**3 - 4*h**2 + 5*h. Let o be n(-3). Let r be (9/(-6) - -2)*o. Solve -r*b + 20*b + 4*b + 3*b**2 + 5 - b**3 = 0.
-1, 5
Let d(s) be the first derivative of 1/22*s**4 + 2/11*s**3 - 22 - 10/11*s**2 + 0*s. Factor d(f).
2*f*(f - 2)*(f + 5)/11
Let 18485*a**2 + 26*a**3 + 94*a**4 - 14*a**5 - 18579*a**2 + 16*a**3 - 9*a - 19*a = 0. Calculate a.
-1, -2/7, 0, 1, 7
Let m(f) be the first derivative of -f**4/20 - 11*f**3/15 - 13*f**2/5 - 16*f/5 - 2058. Let m(g) = 0. Calculate g.
-8, -2, -1
Let c(s) be the first derivative of -s**3 - 147*s**2/2 - 144*s - 3132. Solve c(q) = 0.
-48, -1
Let u(r) be the third derivative of 0 + 218*r**2 + 0*r + 2/33*r**3 + 1/220*r**6 - 1/44*r**4 - 1/1155*r**7 - 1/330*r**5. Determine s so that u(s) = 0.
-1, 1, 2
Let d(f) = -5*f**4 - 23*f**3 - 73*f**2 - 161*f - 126. Let i(c) = 4*c**4 + 21*c**3 + 74*c**2 + 162*c + 126. Let m(b) = 3*d(b) + 4*i(b). What is v in m(v) = 0?
-7, -3, -2
Let y(l) be the first derivative of 2*l**5/5 + 459*l**4 + 421360*l**3/3 - 918*l**2 - 421362*l - 3719. Solve y(s) = 0 for s.
-459, -1, 1
Let k(x) be the second derivative of -x**5/20 + x**4/8 - 65*x**2 - 15*x - 2. Let v(a) be the first derivative of k(a). Find z such that v(z) = 0.
0, 1
Let c(q) be the third derivative of q**6/720 - 37*q**5/90 - 149*q**4/144 - 319*q**2. Suppose c(n) = 0. What is n?
-1, 0, 149
Let f(u) be the second derivative of u**4/24 - 425*u**3/2 - 2551*u**2/4 + 1319*u + 1. Factor f(r).
(r - 2551)*(r + 1)/2
Factor 2/3*r**5 + 0 + 0*r**2 + 16/3*r**3 + 0*r - 6*r**4.
2*r**3*(r - 8)*(r - 1)/3
Suppose 5*z - 35 = 2*y, 98*z = 97*z - y. Let l(k) be the second derivative of 1/70*k**z + 1/7*k**2 - 1/42*k**4 - 1/21*k**3 + 12*k + 0. Factor l(o).
2*(o - 1)**2*(o + 1)/7
Factor -1/2*j**2 + 0 + 140*j.
-j*(j - 280)/2
Let g be 5 + (-27)/(-18)*50/(-15). Factor g*d + 0 - 2/5*d**2.
-2*d**2/5
Solve 2*b**3 + 73*b + 3*b**3 + 490*b**2 - 2*b**3 - 227*b**2 - 30 - 213*b**2 = 0 for b.
-15, -2, 1/3
Let t = -6827/58 + 3631/29. Let -t - 7*g + 1/2*g**2 = 0. What is g?
-1, 15
Find h, given that 150 - 3/8*h**3 - 165*h + 123/8*h**2 = 0.
1, 20
Let j(y) = -y**4 - 2*y**3 + y**2 - 1. Let u(a) = -2*a**4 - 742*a**3 + 1460*a**2 - 726*a - 5. Let p(i) = 5*j(i) - u(i). Find l, given that p(l) = 0.
0, 1, 242
Let l(h) be the second derivative of 4/63*h**4 + 1/210*h**5 + 5*h + 10/21*h**2 - 3 + 17/63*h**3. Determine b so that l(b) = 0.
-5, -2, -1
Let b(p) be the second derivative of 3*p**5/80 - p**4/8 - 21*p**3/8 - 27*p**2/4 - 4086*p. Factor b(j).
3*(j - 6)*(j + 1)*(j + 3)/4
Let n(y) be the second derivative of -y**4/32 + 47*y**3/16 - 69*y**2/8 + 1604*y. Factor n(f).
-3*(f - 46)*(f - 1)/8
Let t(l) be the first derivative of l**6/6 - 302*l**5/5 - 152*l**4 - 2*l**3/3 + 607*l**2/2 + 304*l + 3264. Factor t(z).
(z - 304)*(z - 1)*(z + 1)**3
Let t(z) = -8*z**3 + 30*z**2 - 172*z + 192. Let q(c) = c**3 + 6*c. Let a(i) = -6*q(i) - t(i). Let a(p) = 0. Calculate p.
3, 4, 8
Let d = 337 - 333. Factor -7*n**3 + 45*n + 20 - 33*n**3 + 158*n**2 - 5*n**5 - 30*n**d - 148*n**2.
-5*(n - 1)*(n + 1)**3*(n + 4)
Let w(j) be the first derivative of 0*j + 2/5*j**5 + 38/3*j**3 + 9*j**2 + 11/2*j**4 - 109. Factor w(r).
2*r*(r + 1)**2*(r + 9)
Let y(a) be the third derivative of -a**6/2340 + 41*a**5/390 - 1681*a**4/156 + 127*a**3/3 + 206*a**2. Let h(v) be the first derivative of y(v). Factor h(m).
-2*(m - 41)**2/13
Let c(u) be the third derivative of 25*u**8/1848 - 24*u**7/77 + 81*u**6/110 + 972*u**5/55 + 2187*u**4/44 + 382*u**2 + u. Factor c(j).
2*j*(j - 9)**2*(5*j + 9)**2/11
Factor -189 - 45 - 94 + t**3 - 272 + 35*t**2 + 70*t - 6*t**3.
-5*(t - 6)*(t - 5)*(t + 4)
Let k(d) be the first derivative of -2*d**3/15 - 86*d**2/5 + 1270. Solve k(c) = 0.
-86, 0
Solve 42588*i - 252*i**3 + 3/4*i**4 + 85683/4 + 41829/2*i**2 = 0 for i.
-1, 169
Let o(m) = -9*m - 42. Let c be o(-7). Let u(j) = j - 11. Let q be u(c). Solve -250*i + 2*i**3 + 238*i - q*i**2 + 0*i**3 = 0 for i.
-1, 0, 6
Suppose -23*f + 27*f + 5*j = 23, 0 = -f - j + 5. Let c(h) be the first derivative of 2/9*h + 0*h**f - 27 - 2/27*h**3. Factor c(s).
-2*(s - 1)*(s + 1)/9
Let a(y) = y - 18. Suppose 9*c - 220 = -2*c. Let l be a(c). Factor h**3 - h**2 + 4*h**2 + 2*h**2 + 2*h**l.
h**2*(h + 7)
Suppose 163 = -12*v + 19. Let q be -2 + 3 - (1 - 4)/v. Factor q*z**4 + 0*z + 3/4 - 3/2*z**2 + 0*z**3.
3*(z - 1)**2*(z + 1)**2/4
Let 1352 + 2/9*i**2 - 104/3*i = 0. Calculate i.
78
Let d(a) be the third derivative of -5/24*a**3 + 1/240*a**5 + 1/24*a**4 + 62*a**2 + 0*a + 0. Factor d(s).
(s - 1)*(s + 5)/4
Suppose 41*d = 870 - 296. Suppose 9*b = -d*b + 46. Factor 1/3*y**2 + 0 - b*y.
y*(y - 6)/3
Let m(o) = -o**3 - 2*o**2. Let j be (-24)/(-42) - (-6)/14. Let h(a) = 4*a**3 + 6*a**2 - 4*a. Let c(x) = j*h(x) + 6*m(x). Factor c(z).
-2*z*(z + 1)*(z + 2)
Let b be 3/(-66) + (-984)/82*2/(-44). Find v such that -b*v**4 - 1/6*v**3 + 1/6*v**5 + 0*v + 7/6*v**2 - 2/3 = 0.
-1, 1, 2
Suppose 633*o - 252 = 624*o. Determine r, given that 43*r - 185*r + 8*r**2 - 154*r - o*r + 160 = 0.
1/2, 40
Let d(a) = -a**3 + 52*a**2 + 4. Let n be d(52). Let w(x) be the second derivative of -6*x - 1/80*x**5 + 0*x**2 + 0 + 0*x**3 + 1/48*x**n. Solve w(c) = 0.
0, 1
Let s be -24 + 13 - -1 - (-17 + 26/6). What is u in 0 + s*u**3 + 8/3*u - 12*u**4 + 12*u**2 - 16/3*u**5 = 0?
-2, -1, -1/4, 0, 1
Let o be (28364/(-112))/((-6090)/8 + -3). Let k = o - -2/1019. Suppose 0*a + 0 - k*a**2 + 19/6*a**3 = 0. What is a?
0, 2/19
Let s(p) be the second derivative of 5*p**7/21 - 52*p**6/5 + 6489*p**5/50 - 2839*p**4/15 - 524*p**3 - 360*p**2 + 34*p + 28. Find d such that s(d) = 0.
-2/5, 2, 15
Suppose 120 = 12*z - 4*z. Let g be (-18)/z*5*3/(-6). Suppose -21*b**3 + 13*b**2 + 6*b**g - 18*b**2 = 0. What is b?
-1/3, 0
Let s be (-5)/((-75)/(-2)) - (17600/(-750) + 19). Suppose -4*d**2 - 2*d**4 + 0 - s*d**3 - 1/3*d**5 - 4/3*d = 0. Calculate d.
-2, -1, 0
Let i(v) = -v**3 + 42*v**2 + 88*v + 35. Let k be i(44). Let t be (-3 + (-1)/((-7)/k))/4