e b.
0, 1
Let a(y) be the first derivative of 2*y**3/9 + 7*y**2/3 + 4*y - 120. Determine l, given that a(l) = 0.
-6, -1
Let o(p) = 15 - 12*p**2 + 4*p**3 - 12 + 40*p - p. Let d(j) = 5*j**3 - 12*j**2 + 40*j + 4. Let l(b) = 3*d(b) - 4*o(b). Let l(s) = 0. What is s?
0, 6
Let q(g) be the third derivative of -32/39*g**3 + 8/13*g**4 + 1/156*g**6 + 0 + 0*g - 7/65*g**5 - 3*g**2. Solve q(s) = 0.
2/5, 4
Let k(v) be the first derivative of v**8/1260 - v**6/90 - v**5/45 - 31*v**3/3 - 31. Let b(m) be the third derivative of k(m). Factor b(w).
4*w*(w - 2)*(w + 1)**2/3
Let j(n) be the third derivative of 1/40*n**6 - 3/20*n**5 + 0*n**3 + 1/4*n**4 - 9*n**2 + 0*n + 0. Factor j(o).
3*o*(o - 2)*(o - 1)
Let f = -213/25 + 1691/175. What is x in -f*x + 0 - 4/7*x**2 = 0?
-2, 0
Let d(y) be the second derivative of -18*y + 0 + 1/5*y**3 + 1/10*y**4 + 0*y**2. What is s in d(s) = 0?
-1, 0
Let b(j) be the first derivative of -j**7/5040 - j**6/360 - 16*j**3 - 11. Let c(r) be the third derivative of b(r). Factor c(v).
-v**2*(v + 6)/6
Let j(d) be the second derivative of -d**9/3024 + d**8/1344 + d**7/504 - d**6/144 - 7*d**4/6 + 15*d. Let l(f) be the third derivative of j(f). Factor l(a).
-5*a*(a - 1)**2*(a + 1)
Let c(h) be the second derivative of h**5/40 - 9*h**3/4 + 27*h**2/2 + h + 14. Factor c(t).
(t - 3)**2*(t + 6)/2
Let x = -24070979/165193 + -1/165193. Let t = x + 146. Factor -8/7*f + t*f**4 - 8/7*f**3 + 2/7 + 12/7*f**2.
2*(f - 1)**4/7
Let h(a) be the third derivative of 5*a**8/14 + 1249*a**7/105 - 26*a**6 + 11*a**5/6 + 20*a**4 - 44*a**3/3 - 602*a**2. What is n in h(n) = 0?
-22, -2/5, 1/4, 1/3, 1
Let a(j) be the first derivative of j**9/1008 + j**8/210 + j**7/280 - j**6/180 + 13*j**3/3 - 6. Let q(p) be the third derivative of a(p). Factor q(l).
l**2*(l + 1)*(l + 2)*(3*l - 1)
Let b(f) = 3*f**3 + f**2 - 8*f + 4. Let z(c) = 14*c**3 + 4*c**2 - 38*c + 20. Let j(r) = -11*b(r) + 2*z(r). Factor j(d).
-(d - 1)*(d + 2)*(5*d - 2)
Let j be (-1)/(3 + -2)*-3. Suppose -r = -0*r - j. What is m in 2*m**r - 2*m**2 - 2*m**3 + 4*m - m**3 - 5*m = 0?
-1, 0
Let s(k) = -k**2 - 20*k - 11*k + 30*k + 1. Let x(z) = -3*z**2 - 4*z + 4. Let a(t) = -20*s(t) + 5*x(t). Factor a(l).
5*l**2
Let a(c) be the second derivative of 1/10*c**4 + 3/100*c**5 - 12*c - 3/5*c**2 - 1/10*c**3 + 0. Find z such that a(z) = 0.
-2, -1, 1
Let u(s) be the third derivative of 2*s**7/315 + 23*s**6/180 - 23*s**5/30 + 4*s**4/9 + 28*s**3/9 - 14*s**2 - 1. Determine t, given that u(t) = 0.
-14, -1/2, 1, 2
Let o(q) be the third derivative of -q**6/480 - 97*q**5/240 + 380*q**2. Factor o(k).
-k**2*(k + 97)/4
Determine s so that -56*s + 3*s**2 - 48*s**3 - 50*s**3 + 160*s**3 - 4 - 48*s**3 - 8 = 0.
-2, -3/14, 2
Let v be -4*1 + (-4 - -13). Find f such that 131*f - 131*f - 5*f**v - 5*f**4 = 0.
-1, 0
Let m(w) = -3*w**2 + 6*w - 45. Let t(d) = 2*d**2 - 10*d + 43. Let c(z) = 5*m(z) + 6*t(z). Factor c(r).
-3*(r - 1)*(r + 11)
Solve -60*z + 61*z**3 - 180 + 55*z**2 + 57*z**3 - 162*z**3 + 54*z**3 - 5*z**4 = 0.
-2, 3
Suppose -4*h - 120 = 8. Let t = -25 - h. Determine q so that -5*q + t*q**2 + 13*q**2 + 0*q**2 - 3*q = 0.
0, 2/5
Let h(a) be the third derivative of a**8/294 + a**7/105 - 11*a**6/105 - a**5/7 + 12*a**4/7 - 27*a**3/7 + 111*a**2. Let h(d) = 0. Calculate d.
-3, 1, 9/4
Factor 45/2 + 5/4*f**2 + 55/4*f.
5*(f + 2)*(f + 9)/4
Let o(s) be the second derivative of -12*s**3 + s - 1/3*s**4 - 16*s**2 - 3 + 21/10*s**5 - 3/10*s**6. Factor o(b).
-(b - 4)*(b - 2)*(3*b + 2)**2
Factor -130/3*i - 43/6*i**2 - 1/3*i**3 - 50.
-(i + 10)**2*(2*i + 3)/6
Let m be (-8 - -64)*(-2)/(-12). Factor -98/3*t**2 - m*t - 2/3.
-2*(7*t + 1)**2/3
Determine x, given that 34*x**2 + 78 + x**3 + 4*x**3 + 21*x**2 + 61 + 175*x - 14 = 0.
-5, -1
Suppose -t = -4*t - 6. Let y be t*(-3 + (0 - -1)). Solve 2*s**3 + y*s + 1 + 0 - 6*s - s**4 = 0.
-1, 1
Let q(p) be the third derivative of 1/210*p**7 + 1/120*p**6 + 0*p**3 + 0 + 0*p - p**2 - 1/336*p**8 - 1/60*p**5 + 0*p**4. Let q(w) = 0. Calculate w.
-1, 0, 1
Let f be (40/(-12))/(2*(-2)/6). Let i be f/(-1) + ((-24)/3 - -16). Factor 2/9 - 4/9*r**i + 2/9*r**4 + 2/9*r - 4/9*r**2 + 2/9*r**5.
2*(r - 1)**2*(r + 1)**3/9
Let l = -292 + 562. Let t be 1236/l + 3*4/54. Solve t - 28/5*v**2 + 76/5*v = 0.
-2/7, 3
Let v(r) be the second derivative of 2*r**6/15 + 12*r**5/5 + 46*r**4/3 + 40*r**3 + 50*r**2 + 39*r + 2. Factor v(s).
4*(s + 1)**2*(s + 5)**2
Let x(n) be the first derivative of 2*n**7/105 + n**6/30 - 2*n**5/15 - n**2/2 - 36. Let q(m) be the second derivative of x(m). Factor q(a).
4*a**2*(a - 1)*(a + 2)
Let i be 4/(-8)*-2*47. Suppose 20 = -43*y + i*y. Factor 0*b + 0 + 0*b**3 + 0*b**2 + 1/2*b**4 - 1/4*b**y.
-b**4*(b - 2)/4
Let w(h) be the first derivative of -5*h**3/3 + 20*h**2 - 80*h - 121. Find x, given that w(x) = 0.
4
Let k = -1523 + 1525. Factor -36/7 - 24/7*b - 4/7*b**k.
-4*(b + 3)**2/7
Suppose -2*g = 3*p + 2*p - 23, -3*g + 6 = -2*p. Suppose -t**2 - t**2 - 2*t**2 - 2*t**p + 6*t**3 = 0. What is t?
0, 1
Determine j, given that 80*j - 188*j - 12 + 92*j - 4*j**2 = 0.
-3, -1
Let t(r) be the first derivative of 5*r**3/3 - 15*r**2 + 25*r - 35. Find c such that t(c) = 0.
1, 5
Let n = -204 - -204. Let h(j) be the third derivative of 1/10*j**5 + 0 - 1/60*j**6 - 2*j**2 - 1/4*j**4 + 1/3*j**3 + n*j. Factor h(s).
-2*(s - 1)**3
What is v in 18*v**2 - 128/5*v + 81/5*v**3 + 32/5 = 0?
-2, 4/9
Factor 56*o - 6*o + 18*o - 152*o**4 - 192*o**2 - 8 - 52*o**5 + 248*o**3 + 88*o**5.
4*(o - 1)**4*(9*o - 2)
Let c(k) = -6*k - 64. Let n be c(-7). Let j = -22 - n. Determine g, given that -15/4*g + 5*g**3 - 55/4*g**2 + j = 0.
-1/4, 0, 3
Let m(k) = 15*k**2 + 20*k + 3. Let d be m(-2). Suppose -24*t = -d*t. Factor -2/3*p**3 + t - 2/3*p + 4/3*p**2.
-2*p*(p - 1)**2/3
Let o(k) be the third derivative of k**6/420 - 11*k**5/105 - 23*k**4/84 - 2*k**2 + 3. Factor o(s).
2*s*(s - 23)*(s + 1)/7
Let 12/7*d**3 + 8/7*d**4 + 2/7*d**5 + 2/7*d + 0 + 8/7*d**2 = 0. Calculate d.
-1, 0
Let m be (-3)/(16/((-320)/30)). Let n(v) be the second derivative of 0 - 8*v**m - 4*v**3 - v**4 + 6*v - 1/10*v**5. Suppose n(c) = 0. Calculate c.
-2
Let h(w) = -82*w + 10086. Let a be h(123). Factor -15/7*q**4 + 24/7*q**3 + a + 3/7*q**5 + 0*q - 12/7*q**2.
3*q**2*(q - 2)**2*(q - 1)/7
Let x be -1*287/(-168) - (-4)/(-3). Determine o, given that 3/2 + x*o**2 + 3/2*o = 0.
-2
Let g = 2213/4 - 19155/28. Let a = g - -132. Solve -a*l**2 + 2/7*l**5 + 16/7*l**3 + 0*l - 10/7*l**4 + 0 = 0.
0, 1, 2
Solve -67*c**2 + 40*c**2 - 14*c**3 + 24*c + 31*c**2 + 2*c**5 - 13 - 3 = 0 for c.
-2, 1, 2
Let m(l) be the third derivative of l**6/600 + l**5/100 - l**4/20 - 4*l**3/15 - 36*l**2. Suppose m(z) = 0. Calculate z.
-4, -1, 2
Let u(k) be the second derivative of k**8/2240 - k**7/280 + k**6/120 - 5*k**3/2 - 4*k. Let p(m) be the second derivative of u(m). Factor p(w).
3*w**2*(w - 2)**2/4
Let a(p) = 0 - 3*p**2 - 10 + 14*p**2 + 13*p - p**3. Let l be a(12). Suppose 3*v**3 - v**3 + l*v - v**5 + v**3 - v**4 + 5*v**2 = 0. What is v?
-1, 0, 2
Let r(j) be the first derivative of -j**4/4 - 2*j**3/3 - 263. Factor r(n).
-n**2*(n + 2)
Let a(n) = -23*n**2 - 1651*n - 464. Let z(x) = 5*x**2 + 413*x + 116. Let g(h) = -6*a(h) - 22*z(h). Find u, given that g(u) = 0.
-29, -2/7
What is v in -4*v**4 + 3445*v**3 - 9 + 24*v**2 - 3441*v**3 + 9 = 0?
-2, 0, 3
Let y(p) = -5*p - 23. Let q be y(-25). Let b = q - 100. Solve l + 2/3 + 1/3*l**b = 0 for l.
-2, -1
Let t(j) be the first derivative of 3*j**4/20 + j**3 + 12*j**2/5 + 12*j/5 - 25. What is s in t(s) = 0?
-2, -1
Let l = 23 - 14. Factor 52 - 12*r**2 - 20 + l*r - 31*r + 4*r**3 - 2*r.
4*(r - 4)*(r - 1)*(r + 2)
Suppose k + 7*k = -2*k. Let o(l) be the second derivative of 0*l**2 + 1/22*l**4 + 7/165*l**6 + 9*l - 2/33*l**3 + 6/55*l**5 + k. Factor o(i).
2*i*(i + 1)**2*(7*i - 2)/11
Let w(q) = q**2 - 9*q + 11. Let d be w(8). Suppose -d*j + 6*j - 9 = 0. What is g in -72*g**2 + g**5 + 19*g**4 - 50*g - 4*g**5 + 2*g - g**4 - 3*g**j = 0?
-1, 0, 4
Let h(y) be the third derivative of 0*y**4 + 17*y**2 - 2/735*y**7 + 0 + 8/105*y**5 + 1/30*y**6 + 0*y**3 + 0*y. Let h(t) = 0. What is t?
-1, 0, 8
Let j = -102 - -104. Let p be 54/4 - 9/(-6). Let -4 - 6 - 21*s**3 + 2 - 3*s**j + p*s**4 + 24*s - 4 - 3*s**5 = 0. What is s?
-1, 1, 2
Suppose -79 = 173*f + 90*f - 1131. Let -160/7*d**2 - 120/7*d**4 - f*d**5 - 60/7*d - 200/7*d**3 - 8/7 = 0. What is d