2 - 2/9*l**3 + 3*l + 2*l**2 - 1/3*l**4 + 1/15*l**5. Let u(o) = 0. Calculate o.
-1, 3
Let n be 7 - (-1*2)/((-42)/(-490)*(-105)/30). Factor -68/3 + n*v**3 - 64/3*v - 13/3*v**2.
(v - 17)*(v + 2)**2/3
Let l be (-5655)/(-364) + (-23 - 1653/(-76)). What is b in -48/7 - 380/7*b**2 + l*b**3 + 256/7*b = 0?
2/5, 3
Let x be (-332)/30*((-174)/(-136))/29. Let a = x + 10/17. Factor a*t**2 + 5/2 - t.
(t - 5)**2/10
Suppose -64/11*t + 2/11*t**3 - 120/11 + 2/11*t**2 = 0. What is t?
-5, -2, 6
Find v, given that -5*v**2 - 16*v - 5*v**2 + 28*v - 45*v + 18*v + 10 = 0.
-2, 1/2
Let l(u) = u**3 + 3*u**2 - 2*u - 1. Let k be l(-1). Suppose -2*x + 6 = 2*i, -7 = -i - 2*x - k*x. Factor -12/11*g - 2/11*g**i - 18/11.
-2*(g + 3)**2/11
Let s(v) be the third derivative of -v**8/1176 + 8*v**7/735 - v**6/210 - 8*v**5/21 + 25*v**4/28 + v**2 + 732. Suppose s(q) = 0. Calculate q.
-3, 0, 1, 5
Suppose -364 + 390 = 13*j. Let -18/13*g**j - 2/13*g**3 - 54/13 - 54/13*g = 0. Calculate g.
-3
Let a(j) be the first derivative of -j**5/15 + 7*j**4/2 - 40*j**3/3 - 279*j**2/2 - 208. Let c(b) be the second derivative of a(b). Factor c(k).
-4*(k - 20)*(k - 1)
Let n = -1814 - -1969. Let z be (n/(-40) - -4)/((-2)/(-24)). Let 4 - 2*r**3 + 1/2*r**4 - z*r**2 + 5*r = 0. Calculate r.
-1, 2, 4
Let n be ((-315)/(-126))/((-5)/(-10)). Let 1/4*k**n + 3*k**2 + 0 - k**4 - 1/2*k**3 + 9/4*k = 0. What is k?
-1, 0, 3
Let h(m) be the first derivative of 5*m**4/4 + 95*m**3 - 363. Factor h(w).
5*w**2*(w + 57)
Let g = 1/461 + 458/1383. Let x = -19 + 22. Factor g*d - 1/3*d**4 - 1/3*d**x - 2/3 + d**2.
-(d - 1)**2*(d + 1)*(d + 2)/3
Let m(x) be the first derivative of 2*x**7/21 - 14*x**6/15 + 11*x**5/5 - 5*x**4/3 + 23*x - 156. Let f(s) be the first derivative of m(s). Solve f(u) = 0 for u.
0, 1, 5
Let w = 21 + 72. Find j such that 36 + j + w*j + 39*j - 29*j + 68*j**2 = 0.
-1, -9/17
Let u(v) = -67*v**3 - 115*v**2 - 302*v - 120. Let c(q) = 13*q**3 - 2*q**2. Let t(j) = -20*c(j) - 4*u(j). Factor t(m).
4*(m + 2)*(m + 60)*(2*m + 1)
Let g be ((6/21)/(5705/245 + -22))/(2/20). Find o, given that 0*o**3 + 2/9*o**4 + 2 + 0*o - g*o**2 = 0.
-3, -1, 1, 3
Solve -2/13*t**3 - 44/13*t + 0 + 2*t**2 = 0.
0, 2, 11
Suppose -129 = -87*t + 45. Factor 0*n + 6/11*n**4 + 0*n**3 + 2/11*n**5 + 0 + 0*n**t.
2*n**4*(n + 3)/11
Let o(r) = -4 - 107*r + 104*r - 19. Let q be o(-9). Factor -7*b**q + 5*b**5 - 3*b + 0*b + 32*b**3 - 35*b**3 + b + 7*b**2.
b*(b - 1)**2*(b + 1)*(5*b - 2)
Let b(s) be the first derivative of -s**6/10 - 6*s**5/5 - 11*s**4/2 - 12*s**3 - 27*s**2/2 - 19*s - 60. Let n(r) be the first derivative of b(r). Solve n(z) = 0.
-3, -1
Factor 2/3*v**3 + 8*v**2 - 8/3*v - 32.
2*(v - 2)*(v + 2)*(v + 12)/3
Let u(v) = -3*v**3 - 10*v**2 + 282*v - 357. Let d be u(-12). Solve -6/5*h**2 + 0 + 3/5*h**d - 9/5*h = 0.
-1, 0, 3
Let w be (-6)/(-33) - (-2 + 104000/63448). Let o = w - -2/721. Solve 2/11*z**4 + 0*z**2 - 8/11*z + 0 + o*z**3 = 0.
-2, 0, 1
Let l(m) be the first derivative of -m**4/12 - 11*m**3/9 + 10*m**2 + 714. Let l(q) = 0. What is q?
-15, 0, 4
Let k(m) be the first derivative of -m**4/18 + 28*m**3/27 - 13*m**2/9 + 125. Determine r, given that k(r) = 0.
0, 1, 13
Factor 84*b + 96 - 47*b + 2*b**2 + 63*b - b**2 + 3*b**2.
4*(b + 1)*(b + 24)
Let p(q) be the third derivative of -q**7/210 + 157*q**6/120 - 987*q**5/10 - 2360*q**4/3 - 6400*q**3/3 + 1030*q**2. Factor p(z).
-(z - 80)**2*(z + 1)*(z + 2)
Let z = -104443 - -104449. Find q, given that 4 - 1/2*q**3 - z*q + 3*q**2 = 0.
2
Let t(k) = k**2 - 212*k + 16. Let o(y) = 3*y**2 - 849*y + 72. Let v(p) = 2*o(p) - 9*t(p). Factor v(a).
-3*a*(a - 70)
Let n(x) be the second derivative of 10/3*x**3 - 4 + 2*x - 1/3*x**4 + 48*x**2. Solve n(u) = 0.
-3, 8
Suppose -u + 2038 = 4*l, l - 6*l = -2*u - 2554. Solve -v**3 + l*v - 174*v - 13*v**2 + 0*v**3 - 176*v - 176*v + 192 = 0.
-8, 3
Let r(q) be the first derivative of 0*q - 85 - 2/3*q**6 + 0*q**5 + 0*q**3 + q**4 + 0*q**2. Factor r(f).
-4*f**3*(f - 1)*(f + 1)
Find z, given that -64/7 + 160/7*z + 2*z**4 - 50/7*z**3 - 60/7*z**2 = 0.
-2, 4/7, 1, 4
Let u(s) = 36*s**3 - 784*s**2 + 8388*s - 11560. Let q(z) = 34*z**3 - 785*z**2 + 8394*z - 11559. Let t(o) = 8*q(o) - 7*u(o). Suppose t(b) = 0. Calculate b.
8/5, 19
Let m be (1644/(-1233))/(-1 + 31/33). Let h(z) be the first derivative of -m - z**2 - 1/3*z - 5/9*z**3. Factor h(q).
-(q + 1)*(5*q + 1)/3
Let j(v) be the first derivative of -3*v**4/20 - 7*v**3/15 + 3*v**2/5 - 1854. Suppose j(x) = 0. What is x?
-3, 0, 2/3
Let m(d) = 2*d**2 - 29*d + 84. Let p be m(10). Let j be (-21)/p*4/7. Factor -3/8 - 1/8*o**j + 1/2*o.
-(o - 3)*(o - 1)/8
Determine k, given that -528/7*k**3 + 4902*k**2 + 2/7*k**4 + 10108*k + 0 = 0.
-2, 0, 133
Let d(h) = -18365*h - 18362. Let l be d(-1). Determine v, given that -1/5*v**2 + 16/5 + l*v = 0.
-1, 16
Let a = -385 - -5009/13. Suppose -405*h + 403*h = 0. Factor -a*i**3 - 2/13*i**4 + h + 0*i + 6/13*i**2.
-2*i**2*(i - 1)*(i + 3)/13
Let w(j) be the first derivative of -j**5/90 + 13*j**4/18 - 27*j**2/2 + 68. Let u(h) be the second derivative of w(h). Factor u(r).
-2*r*(r - 26)/3
Let h(g) = -155*g**3 + 405*g**2 - 980*g + 135. Let r(y) = 11*y**3 - 29*y**2 + 70*y - 10. Let t(v) = 6*h(v) + 85*r(v). What is d in t(d) = 0?
1, 2, 4
Let w(c) be the first derivative of 2*c**3/3 - 24*c**2 + 190*c - 11789. Factor w(k).
2*(k - 19)*(k - 5)
Let t(l) be the first derivative of l**3/12 - 5*l**2 + 111*l/4 + 871. Factor t(j).
(j - 37)*(j - 3)/4
Let a(t) be the first derivative of -4*t**5/5 - 18*t**4 + 163*t**3/3 + 51*t**2/2 - 180*t - 1078. Factor a(j).
-(j + 1)*(j + 20)*(2*j - 3)**2
Suppose -28/9*k**4 - 104/9*k**3 + 8/3*k + 0 - 52/9*k**2 = 0. What is k?
-3, -1, 0, 2/7
Let x = 94339/3075 - 13/1025. Suppose -x + 2/3*q**2 - 14*q = 0. What is q?
-2, 23
Suppose 39 - 25 - 20 = -m. Let z(y) be the third derivative of -1/84*y**5 - 1/840*y**m - 1/21*y**4 - 16*y**2 + 0 + 0*y - 2/21*y**3. Factor z(q).
-(q + 1)*(q + 2)**2/7
Let v(s) be the second derivative of -s**5/60 - 17*s**4/24 + 3*s**3 + 9*s**2 - 161*s. Let c(w) be the first derivative of v(w). Factor c(u).
-(u - 1)*(u + 18)
Let f(r) be the third derivative of -r**6/150 + 1403*r**5/75 - 701*r**4/15 - r**2 + 394. Factor f(d).
-4*d*(d - 1402)*(d - 1)/5
Suppose 3*k = 4*k - 4. Solve 22*w**2 + 170*w**k - 218*w**2 + 56*w**3 - 174*w**4 = 0.
0, 7
Let h(m) be the second derivative of -3*m**5/40 + 429*m**4/8 + 445*m. Suppose h(j) = 0. Calculate j.
0, 429
Let b(q) be the first derivative of 5*q**6/2 + 43*q**5 - 255*q**4/4 - 5015*q**3/3 - 3030*q**2 + 6300*q + 370. Let b(y) = 0. Calculate y.
-14, -3, 2/3, 5
Let u(l) be the second derivative of -9*l**5/50 - 152*l**4/15 - 2533*l**3/15 + 578*l**2/5 - 5*l + 51. Solve u(w) = 0.
-17, 2/9
Factor 429*w + 4*w**2 + 81120 - 45776 + 323*w.
4*(w + 94)**2
Suppose -61*c - 40*c = -202. Let x(j) be the first derivative of -2*j - c*j**4 - 4 - 4*j**2 - 4*j**3 - 2/5*j**5. Solve x(w) = 0.
-1
Factor 309*c**2 + 84 + 315*c**2 - 935*c**2 + 331*c**2 + 2*c**3 - 106*c.
2*(c - 3)*(c - 1)*(c + 14)
Let j(h) be the third derivative of h**5/30 + h**4/12 - 20*h**3/3 + 1063*h**2. Determine v, given that j(v) = 0.
-5, 4
Let b = -75 + 77. Suppose 0 = b*v + 4*d, -12 = -3*v - 4*d + d. Suppose 5 + 3 + 4 - v*q - 4*q**2 = 0. Calculate q.
-3, 1
Let w be ((-4)/(-30) - 4522/(-85))*(-315)/(-140). Factor -18*x**3 + 100/3 + w*x + 19/3*x**2 + 7/3*x**4.
(x - 5)**2*(x + 2)*(7*x + 2)/3
Let k(w) be the third derivative of w**5/240 - 41*w**4/16 + 5043*w**3/8 - 4612*w**2. Factor k(m).
(m - 123)**2/4
Suppose -36 = -5*w - 4*s, 5*s + 26 = -3*w + 71. Find h, given that w*h + 26/7*h**2 - 2/7*h**3 + 0 = 0.
0, 13
Let o(i) = -i + 1. Let u(w) = w**2 - 3*w + 3. Let n(p) = -4*o(p) + u(p). Let g(m) = 8*m**2 + 8*m - 12. Let t = 4 - 3. Let b(h) = t*g(h) - 12*n(h). Factor b(f).
-4*f*(f + 1)
Suppose 4/3*c**5 + 44/3 + 10/3*c**3 - 259/3*c**2 + 89/3*c**4 + 112/3*c = 0. What is c?
-22, -2, -1/4, 1
Let o(w) be the second derivative of 0 - 2*w**5 - 2*w**2 + 27*w - 4*w**3 - 2/5*w**6 - 4*w**4. Let o(l) = 0. Calculate l.
-1, -1/3
Let i = -1808/13 + 3733/26. Let j(f) be the first derivative of -1/4*f**4 - 13/6*f**3 - 6*f**2 - i*f - 2. Factor j(p).
-(p + 3)**2*(2*p + 1)/2
Let c(s) be the first derivative of -80/3*s**3 + s**5 - 126 - 5/4*s**4 - 50*s**2 + 0*s. Factor c(v).
5*v*(v - 5)*(v + 2)**2
Let t = 25854 - 1654579/64. Let s = -1/3