241/78*u**4 + 21/13*u**5 - 280/13*u**3 + 5/39*u**6 + 400/13*u**2 + 3 + 12*u. Let a(d) = 0. What is d?
-5, 4/5
Suppose 2*c + 2*o - o - 1869 = 0, o = -1. Let t = 935 - c. Solve 6/7*f + t + 3*f**2 - 27/7*f**5 - 45/7*f**4 - 3/7*f**3 = 0.
-1, -1/3, 0, 2/3
Let r(x) be the second derivative of x**6/6 - 2*x**5 + 10*x**4/3 + 80*x**3/3 - 120*x**2 - x - 3375. Factor r(i).
5*(i - 6)*(i - 2)**2*(i + 2)
Let n = -417 - -418. Let o be (2/8)/n - (-1410)/376. Factor 4/11*q**3 - 6/11*q**2 + 10/11*q**o + 0 + 0*q.
2*q**2*(q + 1)*(5*q - 3)/11
Let q = -26849/15 - -1790. Let g(s) be the second derivative of s**2 + 1/3*s**3 + q*s**6 + 0 + 20*s - 1/3*s**4 - 1/5*s**5 + 1/21*s**7. Factor g(h).
2*(h - 1)**2*(h + 1)**3
Let l be ((-1374555)/(-441))/53 + -47. Factor 238328/21*j + l*j**3 + 3844/7*j**2 + 1847042/21 + 2/21*j**4.
2*(j + 31)**4/21
Let y(g) be the first derivative of -g**4/18 + 98*g**3/27 - 1500. What is s in y(s) = 0?
0, 49
Let d(a) be the third derivative of -a**8/1680 - a**7/120 + 17*a**3/2 + a**2 + 7. Let n(q) be the first derivative of d(q). Let n(t) = 0. What is t?
-7, 0
Let r(y) be the first derivative of y**5/15 - 4*y**4/3 + 7*y**3 - 46*y**2/3 + 44*y/3 + 1237. Determine k so that r(k) = 0.
1, 2, 11
Let i(l) = -196*l**5 + 495*l**4 - 339*l**3 - 29*l**2 + 63*l + 15. Let m(x) = -3*x**4 + 2*x**3 + 2*x + 2. Let c(g) = -4*i(g) + 12*m(g). Factor c(h).
4*(h - 1)**3*(14*h + 3)**2
Let g(d) be the third derivative of 4*d**7/945 + 37*d**6/108 + 1081*d**5/135 + 529*d**4/108 + 5728*d**2. Determine j so that g(j) = 0.
-23, -1/4, 0
Let i = 32 + 39. Let y = i - 65. Factor y*c**4 - c**2 + 37*c**3 - 12*c**3 + 5*c**2 - 11*c**3.
2*c**2*(c + 2)*(3*c + 1)
Suppose 4*j = f + 17, -f + 6*j - j - 22 = 0. Suppose -1/5*s**4 + 84/5*s - 12/5*s**f - 49/5 - 22/5*s**2 = 0. Calculate s.
-7, 1
Let y(b) be the first derivative of 3*b**5/7 - 1389*b**4/28 - 656*b**3/7 - 282*b**2/7 - 1107. Solve y(m) = 0 for m.
-1, -2/5, 0, 94
Let q(v) be the second derivative of v**4/18 - 383*v**3/9 - 770*v**2/3 - 4*v + 115. Factor q(d).
2*(d - 385)*(d + 2)/3
Suppose 5*r + 105433 - 105503 = -4*z, -35 = 5*r - 3*z. Factor -16/11*f + 4/11*f**r + 2/11*f**3 + 0.
2*f*(f - 2)*(f + 4)/11
Let u(o) be the second derivative of -o**6/600 + 7*o**5/100 - 49*o**4/40 + 343*o**3/30 + 5*o**2/2 + 63*o. Let h(b) be the first derivative of u(b). Factor h(d).
-(d - 7)**3/5
Let g(c) = 6*c**2 - 394*c - 36107. Let q(s) = s**2 - 2*s - 1. Let f(n) = -5*g(n) + 35*q(n). What is a in f(a) = 0?
-190
Factor -18*c**2 - 330*c**3 + c**5 - 36*c**4 + 27*c + 318*c**3 + 38*c**4.
c*(c - 3)*(c - 1)*(c + 3)**2
Let k(b) = 40*b**3 + 21012*b**2 - 73541994*b + 85823520996. Let o(i) = -7*i**3 - i**2 - 2*i + 1. Let u(y) = k(y) + 6*o(y). Factor u(g).
-2*(g - 3501)**3
Let x(r) be the first derivative of -r**8/840 - 23*r**7/1050 - r**6/10 + 3*r**5/25 + 39*r**2/2 + 55. Let f(s) be the second derivative of x(s). Factor f(m).
-m**2*(m + 6)**2*(2*m - 1)/5
Let l(v) be the second derivative of -v - 1/10*v**6 - 7/2*v**4 + 0*v**2 + 0*v**3 + 10 + 27/20*v**5. Let l(o) = 0. Calculate o.
0, 2, 7
Suppose 375*m = -2184*m - 1335809 + 7231745. Let -48*d + m + 1/4*d**2 = 0. What is d?
96
Let k(x) be the second derivative of x**4/24 + 83*x**3/6 + 82*x**2 + 4*x - 1117. Factor k(y).
(y + 2)*(y + 164)/2
Let 22/3*q - 22/3*q**3 - 2/3*q**4 + 18*q**2 - 52/3 = 0. Calculate q.
-13, -1, 1, 2
Let x(b) be the third derivative of b**8/20160 + 11*b**7/630 + 121*b**6/45 + 59*b**5/20 - 187*b**2. Let f(q) be the third derivative of x(q). Factor f(p).
(p + 44)**2
Let k be 38695/(-420) - (-76)/(-57). Let z = 656/7 + k. Factor 3/2*c**3 - 3/2*c + 5/4 - c**2 - z*c**4.
-(c - 5)*(c - 1)**2*(c + 1)/4
Let s(j) be the first derivative of 32*j**3/15 - 312*j**2/5 + 3042*j/5 + 12516. Suppose s(i) = 0. What is i?
39/4
Let n = 5508 - 5503. Let g(p) be the third derivative of -8/3*p**3 + 0*p + 5/6*p**4 + 28*p**2 - 1/15*p**n + 0. Factor g(x).
-4*(x - 4)*(x - 1)
Determine k so that -104/9 - 55/9*k**2 - 1/9*k**3 - 158/9*k = 0.
-52, -2, -1
Let o be 13 + (23 - (32 + 0)). Solve 1/2*n**2 + 8 + o*n = 0 for n.
-4
Let r(f) = 14*f**2 - 26*f - 88. Let x(v) = 18*v**2 - 26*v - 89. Let u(n) = 5*r(n) - 4*x(n). Determine p so that u(p) = 0.
-7, -6
Suppose -l + 98 = 2*h, -9*h + 136 = -6*h - 4*l. Suppose 14*a + 2*a = h. What is b in 1/4*b**2 + 1/4*b**4 + 3/4*b - 3/4*b**a - 1/2 = 0?
-1, 1, 2
Suppose 0 = 28*v - 12*v - 256. Let q = -143/9 + v. Find u, given that -16/3*u - q*u**3 - 4/3*u**2 - 64/9 = 0.
-4
Let v(r) be the first derivative of r**4/24 + r**3/3 + r**2 + 37*r - 98. Let s(n) be the first derivative of v(n). Let s(z) = 0. What is z?
-2
Let o(t) = -15*t**2 - 22*t + 23. Suppose 137 = -3*g + 143. Let p(i) = 5*i**2 + 7*i - 8. Let x(a) = g*o(a) + 7*p(a). Solve x(d) = 0 for d.
-2, 1
Let i(a) be the second derivative of -a**6/240 + 9*a**5/80 + 25*a**4/96 - 19*a**3/8 + 2*a - 60. Determine v so that i(v) = 0.
-3, 0, 2, 19
Let b(l) = 89*l - 435. Let k be b(5). Let f(q) be the third derivative of 0*q - k*q**2 + 0 - 25/6*q**3 + 5/4*q**4 - 1/12*q**5. Determine v so that f(v) = 0.
1, 5
Suppose -11 = -14*y + 31. Let -n**4 - 32*n - 6*n**2 + 7 - 10*n**3 + 40*n + 2*n**y = 0. Calculate n.
-7, -1, 1
Suppose 53*f = 51*f + 4. Solve 4*i**3 - 17*i**3 - f*i**2 - 2*i**3 - 6*i**2 + 13*i**3 = 0 for i.
-4, 0
Suppose -r + 14 = -w, -5*w + 6*r - 66 = 2*r. Let j be (-8)/(-10)*(-5)/2 - w. Factor -4*s**5 - 4*s**4 - 4 - 3*s - 4*s + 8*s**2 + j*s**3 + 3*s.
-4*(s - 1)**2*(s + 1)**3
Let a(t) = -3*t**3 - 24*t**2 + 30*t + 140. Let u(s) = -2*s**3 - s**2 - 4. Let q(b) = 3*a(b) - 3*u(b). Factor q(d).
-3*(d - 3)*(d + 2)*(d + 24)
Suppose 3*p - 6 = 9. Let h(q) = -q**3 + 27*q**2 + 57*q + 46. Let d be h(29). Suppose -8*c**5 - c**4 - p*c**5 + d*c**5 = 0. What is c?
0, 1/4
Factor 229/2 - 115*d + 1/2*d**2.
(d - 229)*(d - 1)/2
Let 163*l**4 - 12*l**2 - 216 + 180*l - 20*l**3 - 103*l**4 - 56*l**4 = 0. Calculate l.
-3, 2, 3
Let p(a) = -9*a**2 + 12*a + 3. Let m(i) be the third derivative of 4*i**5/15 - 23*i**4/24 - i**3/2 - 80*i**2 - 2*i. Let n(q) = -3*m(q) - 5*p(q). Factor n(l).
-3*(l - 2)*(l - 1)
Let y = -408662 - -2452037/6. Solve -y*k + 10 + 5/6*k**2 = 0 for k.
1, 12
Let d(l) be the first derivative of -145 - 5/3*l**3 - 2000*l + 100*l**2. Factor d(j).
-5*(j - 20)**2
Let f = 308 + -303. Factor -4*o**2 + 15*o**5 - 22*o**f + 6*o**3 + 5*o**5.
-2*o**2*(o - 1)**2*(o + 2)
Let x(n) = -7404*n**3 + 3604*n**2 + 3320*n + 480. Let g(z) = -7406*z**3 + 3602*z**2 + 3325*z + 479. Let a(k) = 4*g(k) - 5*x(k). Factor a(h).
4*(h - 1)*(43*h + 11)**2
Let h = -2526/29 + 22792/261. Factor -128 - 32/3*j - h*j**2.
-2*(j + 24)**2/9
Let l be 7 + 1 + (43 - 40). Determine d so that 2*d**4 - l*d**5 + 23*d**5 - 14*d**5 = 0.
0, 1
Suppose 5*y = 20, -5*y = -3*t + 44 - 40. Let w(v) be the first derivative of -8/9*v**3 - 2/3*v**2 + 0*v - 1/3*v**4 + t. Determine r so that w(r) = 0.
-1, 0
Suppose -16*l**3 - 14*l**3 + 26*l**3 - 809*l**2 - 709*l**2 - 684*l - 74*l = 0. What is l?
-379, -1/2, 0
Let b = -981354/5 + 196271. Determine l, given that -650*l**2 - 41/5*l**4 - 2197/5 + 4901/5*l + 586/5*l**3 + b*l**5 = 0.
1, 13
Suppose -c + 2*c = -4*m + 41, -2*c + 62 = 3*m. Factor -10*j - c*j + 45*j + 5*j**2.
5*j*(j + 2)
Suppose -53*f = -50*f - 4230. Factor 4*m**3 + f*m - 2*m**3 + 16*m**2 - 1410*m.
2*m**2*(m + 8)
Let z be 1 + (-42)/(-15) - 510/(-425). Let k(r) = 2*r**2 + 5*r - 4. Let t = -4 - -1. Let d(i) = 4*i**2 + 9*i - 8. Let n(h) = t*d(h) + z*k(h). Factor n(w).
-2*(w - 1)*(w + 2)
Let n(f) be the first derivative of 2/5*f - 1/30*f**3 - 3/20*f**2 + 22. Suppose n(l) = 0. What is l?
-4, 1
Let f be -15 - -25 - 6360/518. Let d = 2/259 - f. Factor 36/7*g + d*g**3 + 0 + 2/7*g**4 + 6*g**2.
2*g*(g + 2)*(g + 3)**2/7
Let c(h) = -59*h + 885. Let j(g) = 2*g - 1. Let d be j(8). Let u be c(d). Factor u - s**3 + 1/2*s**5 + 6*s**2 - 4*s - 3/2*s**4.
s*(s - 2)**2*(s - 1)*(s + 2)/2
Factor 5894/19 + 5898/19*a**2 + 11790/19*a + 2/19*a**3.
2*(a + 1)**2*(a + 2947)/19
Suppose -3*z - 15*q + 10*q = 20, 3*z = -3*q - 12. Determine i, given that -i**3 + z + 0*i + 0*i**2 - 1/5*i**4 = 0.
-5, 0
Suppose -5*x + 3*x - 6 = 0, 5*w = -4*x - 2. Suppose 0 = -w*r + 9 - 3. Determine v, given that 24 - v**r + 31 - 55 + v = 0.
-1, 0, 1
Let m(d) be the second derivative of d**6/30 - 21*d**5/20 - 53*d**4/12 + 55*d**3/2 - 46*d**2 + 2424*d. Solve m(u) = 0 for u.
-4, 1, 23