third derivative of -4/195*i**6 + i + 0 - 1/39*i**3 - 2*i**2 - 4/195*i**5 + 7/156*i**4. Suppose b(q) = 0. What is q?
-1, 1/4
Let f(v) be the first derivative of -v**3/3 + 11*v**2/2 - 6121. Solve f(k) = 0 for k.
0, 11
Let u = 17680 - 26401. Let p be (-6)/(-51) - (-19)/(u/(-28710)). Let 76/3*w**4 + p*w**3 + 152/3*w**2 - 2*w - 12 + 10/3*w**5 = 0. What is w?
-3, -1, 2/5
Let z(m) = -4*m**2 + 26*m - 21. Let l(c) be the second derivative of 2*c**4/3 - 9*c**3 + 41*c**2/2 - 38*c. Let u(b) = 3*l(b) + 7*z(b). Let u(q) = 0. What is q?
2, 3
Let u(o) be the second derivative of 111*o + 1/16*o**4 - 1/120*o**6 + 5/12*o**3 - 1/20*o**5 + 0 - o**2. Factor u(y).
-(y - 1)**2*(y + 2)*(y + 4)/4
Find g such that -7/3*g**3 - 11/3*g**2 - 4/3*g + 0 = 0.
-1, -4/7, 0
Let x be (-293437)/(-85)*35/63. Let y = 1919 - x. Let 0 + 8/9*d**2 + 0*d + 14/9*d**5 + y*d**4 - 32/9*d**3 = 0. What is d?
-2, 0, 2/7, 1
Let a(l) be the first derivative of -l**5/20 + 14*l**4 - 1568*l**3 - 55*l**2/2 + 89. Let f(w) be the second derivative of a(w). Factor f(s).
-3*(s - 56)**2
Factor 2/9*p**2 + 0 - 122*p.
2*p*(p - 549)/9
Let z = 71 - 67. Factor 24*b + 6 + 5*b**z + 9*b**2 + 2 + 4 - 8*b**4 - 6*b**3.
-3*(b - 2)*(b + 1)**2*(b + 2)
Let k(n) be the second derivative of -n**5/140 - 33*n**4/28 - 400*n**3/7 + 1250*n**2/7 - 715*n. Solve k(d) = 0.
-50, 1
Let g(n) = -n**3 + 2*n**2 - n + 1. Let m = 983 - 982. Let v(x) = -6*x**3 + 35*x**2 - 148*x - 164. Let b(l) = m*v(l) - 5*g(l). What is s in b(s) = 0?
-1, 13
Let f(i) be the second derivative of -7*i**4/12 - 265*i**3/18 + 31*i**2 - 48*i + 65. Determine q so that f(q) = 0.
-93/7, 2/3
Let d(o) be the second derivative of -o**4/6 + 41*o**3/3 + 86*o**2 - 469*o + 1. Solve d(r) = 0 for r.
-2, 43
Let y(l) be the second derivative of 2*l**6/75 + 453*l**5/100 - 803*l**4/60 + 77*l**3/10 + 23*l**2/2 - 858*l. Find f, given that y(f) = 0.
-115, -1/4, 1
Factor -1472/7*p**2 + 2938/7*p - 1468/7 + 2/7*p**3.
2*(p - 734)*(p - 1)**2/7
Let i(z) be the second derivative of -z**4/78 - 77*z**3/13 + 466*z**2/13 - 1815*z - 2. What is f in i(f) = 0?
-233, 2
Let g(a) be the first derivative of a**4/16 + 11*a**3/12 - a**2/8 - 11*a/4 + 3516. Factor g(u).
(u - 1)*(u + 1)*(u + 11)/4
Let n(q) be the second derivative of 0*q**2 + 1/90*q**5 + 1/2*q**4 - 4*q + 0 + 0*q**3. Factor n(z).
2*z**2*(z + 27)/9
Let h(y) be the third derivative of 1/15*y**3 - 67*y**2 - 1/24*y**4 + 1/100*y**5 + 0*y - 1/1050*y**7 + 0 + 1/600*y**6. Factor h(n).
-(n - 1)**3*(n + 2)/5
Let z be (-11)/28 - (-556)/3892 - -4. Factor -1/2*i**2 + 29/4*i + z.
-(i - 15)*(2*i + 1)/4
Suppose -2*l - 2*l + 4 = -4*r, 3*r = 0. Suppose -3*b = 3*o + 3, 5*o + l = 2*b - 32. Determine u, given that 0*u**2 + 3*u**b + 7*u**2 - 13*u**2 - 3*u**3 = 0.
-1, 0, 2
Let b(v) be the third derivative of 1/480*v**6 + 0*v + 0*v**3 + 4 + 1/12*v**4 - 3*v**2 + 1/40*v**5. Factor b(j).
j*(j + 2)*(j + 4)/4
Factor 252*x**2 + 41/2*x**3 - 19872*x - 1/2*x**4 + 214272.
-(x - 24)**3*(x + 31)/2
Let t(r) be the second derivative of r**4/66 - 14*r**3/33 + 49*r**2/11 + 44*r + 10. Factor t(h).
2*(h - 7)**2/11
Let h = -179598 - -718393/4. Factor 0 - 5/4*m**3 + 0*m - 1/2*m**2 - m**4 - h*m**5.
-m**2*(m + 1)**2*(m + 2)/4
Suppose 4*n**4 - 828*n**3 - 13*n**2 - 25*n**2 - 2*n**4 + 56*n - 24 + 832*n**3 = 0. What is n?
-6, 1, 2
Let x(i) = 42*i**3 + 71*i**2 - 225*i + 112. Let a(g) = -23*g**3 - 36*g**2 + 113*g - 54. Let v(n) = -11*a(n) - 6*x(n). Determine r, given that v(r) = 0.
1, 3, 26
Suppose 26*r - 27*r - 3*t - 3 = 0, 0 = -2*t - 2. Suppose 4*m - 13 - 7 = -4*u, r = 2*u + 5*m - 16. Factor 2/13*c + 0*c**2 - 2/13*c**u + 0.
-2*c*(c - 1)*(c + 1)/13
Suppose 5*a = 9*a - 20. Suppose a = -3*h + 11. Factor 38 - 10 + 24*y - 17*y**h + 13*y**2.
-4*(y - 7)*(y + 1)
Let j(z) be the first derivative of -22 + 0*z**3 - 1/120*z**5 - 1/72*z**4 - 12*z + 0*z**2. Let t(u) be the first derivative of j(u). Factor t(r).
-r**2*(r + 1)/6
Let i(l) be the second derivative of l**4/90 + 53*l**3/45 + 196*l**2/15 - 2*l - 263. Factor i(h).
2*(h + 4)*(h + 49)/15
Factor 91*m - 487*m**2 + 41 + 486*m**2 + 51.
-(m - 92)*(m + 1)
Suppose -3*a**2 - 4 - 4/3*a**3 + 25/3*a = 0. What is a?
-4, 3/4, 1
Let t(x) be the third derivative of 3*x**6/140 + x**5/20 - 11*x**4/56 - x**3/7 + 31*x**2 - 7. Find v such that t(v) = 0.
-2, -1/6, 1
Let b(c) be the third derivative of c**7/140 + c**6/20 - c**5/40 - c**4/4 - 141*c**2. Let b(j) = 0. What is j?
-4, -1, 0, 1
Let p(u) = -u**2 - 26*u + 5. Let d be (-540)/21 + (-26)/91. Let m be p(d). Let 12 - 4*a**2 + m*a + 3*a - 6*a**2 + 6*a**2 = 0. Calculate a.
-1, 3
Let a(l) be the first derivative of 74 + 5/4*l**4 + 15/2*l**2 + 20/3*l**3 + 0*l. Let a(w) = 0. Calculate w.
-3, -1, 0
Let i = -1/6093 - -20311/6093. Let w(h) be the first derivative of -i*h**2 + 7/4*h**4 + 34/9*h**3 - 8/3*h + 12. Factor w(z).
(z + 2)*(3*z - 2)*(7*z + 2)/3
Let u(q) be the first derivative of -65/4*q**4 + 25/6*q**6 + 7*q**5 - 155/3*q**3 - 47 - 20*q - 50*q**2. Factor u(l).
5*(l - 2)*(l + 1)**3*(5*l + 2)
Let u(s) = 7*s + 3 - 4*s - s**2 + 0*s**2 + 8*s**2 - 4*s**2. Let p be u(0). Solve 2/9*m**p + 4/9*m**2 - 16/9*m**4 + 0 + 0*m + 10/9*m**5 = 0.
-2/5, 0, 1
Solve 9/4*q**4 + 3/4*q**2 - 5*q + 19/4*q**3 - 3 + 1/4*q**5 = 0.
-6, -2, -1, 1
Let x be (280/(-15400))/(123/66 + -2). Factor -x*n**2 + 8/5*n - 8/3.
-2*(n - 10)*(n - 2)/15
Let o(t) = -5*t**2 + 1465*t - 7625. Let c(d) = 13*d**2 - 4402*d + 22875. Let q(i) = 5*c(i) + 14*o(i). Let q(w) = 0. What is w?
-305, 5
Suppose 5*j + 5 = 0, 0*h = 4*h + j + 85. Let q = h - -24. Factor -a**3 + 1 - 5*a**q - 24*a - 6*a**2 - 10 - 15*a**2.
-3*(a + 1)**2*(2*a + 3)
Let p(x) be the first derivative of -3*x**4/4 - 17*x**3 - 21*x**2 + 96*x + 328. Factor p(n).
-3*(n - 1)*(n + 2)*(n + 16)
Let p(c) be the second derivative of c**7/49 - 38*c**6/105 - 51*c**5/35 - 8*c**4/7 + 43*c**3/21 + 30*c**2/7 - 29*c - 80. Find g such that p(g) = 0.
-1, 2/3, 15
Let h = 159 + -157. Factor 3*r + 7*r**h - 3*r**4 + 7*r**2 - 3*r**3 - 11*r**2.
-3*r*(r - 1)*(r + 1)**2
Let c be (16/60)/(19/(-10)*(-16)/76). Factor 10/3*f**2 - 4/3*f + 0 - 8/3*f**3 + c*f**4.
2*f*(f - 2)*(f - 1)**2/3
Let b(p) = p**2 - 1. Suppose -2*g = 2*n - 8, 2*g + 2 - 6 = 0. Let l be b(n). Determine h, given that 5*h**4 - l*h**3 - 2*h**3 + 4*h - 4*h = 0.
0, 1
Let k be 3 - -2*34/(-28). Suppose 156*i = 44*i - 496*i + 1216. Suppose 20/7*q + 0 - 8*q**i + 48/7*q**3 - 8/7*q**4 - k*q**5 = 0. What is q?
-5, 0, 1
Find v, given that -2/21*v**3 - 4/7*v**4 - 2/21*v**5 + 184/21*v + 32/7 + 32/7*v**2 = 0.
-4, -2, -1, 3
Let o = 838505/5030994 - 1/838499. Factor 0 - 289/6*m + 17/3*m**2 - o*m**3.
-m*(m - 17)**2/6
Let w(f) be the first derivative of -2/11*f + 2/33*f**3 - 25 - 1/22*f**4 + 1/11*f**2. Solve w(n) = 0.
-1, 1
Let y(d) be the third derivative of d**7/24 + 65*d**6/72 + 3*d**5/4 - 17*d**3/2 + 15*d**2. Let t(r) be the first derivative of y(r). Factor t(g).
5*g*(g + 9)*(7*g + 2)
Let l be -1 + 27 + -6 + -1 + -3. Factor 14*q - 47*q**2 + l + 0 + 23*q**2 + 22*q**2.
-2*(q - 8)*(q + 1)
Let r = 25382/5 - 5071. Let a be (1 - 1)*(-1 + 9/6). Find d, given that 3/5*d**2 + r*d + a = 0.
-9, 0
Suppose -2*f - 18 = -5*i, i - 5*f + 25 = 6*i. Let l be 2/(-3*(-4)/18). Let 562*y**3 + 0*y**i + 6 - 3*y**2 - 9*y - 553*y**3 - l*y**4 = 0. What is y?
-1, 1, 2
Let w(m) be the second derivative of m**7/378 - 49*m**5/60 + 71*m**4/54 + 304*m**3/3 - 576*m**2 - 6599*m. Suppose w(n) = 0. What is n?
-9, 2, 8
Let r be (3/(-3))/(-2 + 5672/2840). Let l = r - 1064/3. Determine s, given that 2/3*s + l*s**2 + 0 = 0.
-2, 0
Let w(h) be the second derivative of -h**7/72 - 17*h**6/72 - 7*h**5/36 + 21*h**3/2 + h + 25. Let a(t) be the second derivative of w(t). Factor a(c).
-5*c*(c + 7)*(7*c + 2)/3
Let g = -13216 - -6740161/510. Let y(d) be the third derivative of 0 + 11*d**2 + 0*d + 1/204*d**4 + 0*d**3 + g*d**5. Factor y(c).
2*c*(c + 1)/17
Suppose -26*k + 15*k - 44 = 0. Let t be k*(-9)/(84 - -6). Factor 0*l + 2/5*l**3 - 2/5*l**2 - t*l**5 + 0 + 2/5*l**4.
-2*l**2*(l - 1)**2*(l + 1)/5
Let r be (-24)/(-32)*2/6. Suppose -4*f - 20 = -3*q, -5*q = -3*q + f - 6. Suppose 0*o + 7/4*o**2 - r*o**5 + 1/4*o**3 - 1 - 3/4*o**q = 0. Calculate o.
-2, -1, 1
Let n(j) be the third derivative of j**6/240 - 109*j**5/120 - 14*j**2 + 149*j. Determine k, given that n(k) = 0.
0, 109
Let w = -447 - -449. Let l be (-1)/2 - 1/(-2). Determine n, giv