derivative of a**5/135 + 601*a**4/27 + 722402*a**3/27 - 2*a**2 - 1157. Let m(p) = 0. What is p?
-601
Factor -12384/5*q + 72576/5 + 302/5*q**2 - 2/5*q**3.
-2*(q - 72)**2*(q - 7)/5
Let p(v) be the first derivative of -2*v**3/9 + 22*v**2/3 - 224*v/3 + 15887. Find b, given that p(b) = 0.
8, 14
Let t = -1097 + 277. Let k = 825 + t. Solve -54/7*j**k + 40/7*j**3 + 0*j + 6/7*j**4 + 8/7*j**2 + 0 = 0 for j.
-2/3, -2/9, 0, 1
Let v(z) be the second derivative of z**6/120 - 13*z**5/20 + 701*z**4/48 - 25*z**3/12 - 1875*z**2 + 2510*z. Suppose v(d) = 0. What is d?
-4, 6, 25
Let z = -63 - -72. Let w(k) = -k**2 + 5*k + 38. Let h be w(z). Factor -43*t**4 - 12*t**4 - 10*t + 36*t**3 + 64*t**3 - 35*t**h.
-5*t*(t - 1)**2*(11*t + 2)
Let j be (-6)/(-10) + ((-1)/(5 + -6))/1. Suppose 0*q = 4*q - 16. Factor -j + q*t + 4/5*t**3 - 16/5*t**2.
4*(t - 2)*(t - 1)**2/5
Let s(h) = 3*h**2 - 7*h - 1. Let w be s(3). Suppose w*x - 7 - 3 = 0. Factor -75*t**3 + 81*t**x - 41*t + 35 + 25*t**4 + 4*t - 29.
(t - 1)**2*(5*t - 3)*(5*t - 2)
Let l(a) be the third derivative of a**8/504 + 4*a**7/105 + 4*a**6/45 - 8*a**5/15 - 20*a**4/9 - 1401*a**2 - a. Solve l(c) = 0.
-10, -2, 0, 2
Find a such that 78 - 355785*a**2 + 73 - 1440*a - 51 + 360969*a**2 = 0.
5/36
Let o be ((-1)/3)/((-33)/22 + 7/(-42)). Let a(x) = -x**3 - 15*x**2 + 14*x - 29. Let h be a(-16). Factor -o*l**h - 8/5*l + l**2 + 4/5.
-(l - 2)**2*(l - 1)/5
Let w(o) be the first derivative of o**6/12 - 2*o**5/5 - 25*o**4/8 + 8*o**3/3 + 21*o**2 - 1020. Determine g, given that w(g) = 0.
-3, -2, 0, 2, 7
Let f(w) = 3*w**3 + 15*w**2 + 28*w - 2. Let r(u) = -305*u**3 + 1 + 304*u**3 - u + 0. Let i(k) = -5*f(k) - 10*r(k). Suppose i(n) = 0. What is n?
-13, -2, 0
Let h(w) = 4*w**3 + 20*w**2 + 85*w + 45. Let z(f) = -5*f**3 - 12*f**2 - 85*f - 46. Let n(o) = -4*h(o) - 3*z(o). Solve n(a) = 0.
-42, -1
Determine q, given that 6724 - 70/3*q**2 - 697/3*q - 1/3*q**3 = 0.
-41, 12
Let s(b) be the third derivative of b**7/105 - 41*b**6/60 + 4*b**5/3 - 3*b**2 + 63. Factor s(m).
2*m**2*(m - 40)*(m - 1)
Let a(d) be the first derivative of 1/15*d**3 + 68 + 0*d - 11/10*d**2. Solve a(g) = 0 for g.
0, 11
Let t(v) = -144*v**2 + 368*v - 282. Let d(m) = 170 + 29*m**2 - 74*m - 18 - 96. Let s(u) = -16*d(u) - 3*t(u). Find i such that s(i) = 0.
5/4
Let d(t) = 81*t**2 + 66*t. Let o(r) = -5*r**2 + 14 + 11 - 25 - 4*r. Let h(w) = -2*d(w) - 33*o(w). Factor h(s).
3*s**2
Factor -5/11*f**2 + 471/11 + 782/11*f.
-(f - 157)*(5*f + 3)/11
Let r(x) be the third derivative of -2*x + 0*x**4 + 0 + 2/9*x**3 - 1/180*x**5 + 8*x**2. Factor r(q).
-(q - 2)*(q + 2)/3
Let a = 31492/63 - 3622/7. Let t = a + 160/9. What is r in t*r**2 + 0 + 0*r = 0?
0
Let m be (16 - (-96)/(-5))/(3/(-36)). Find z, given that 192/5*z + 4*z**5 + 256/5 + 128*z**3 - 832/5*z**2 - m*z**4 = 0.
-2/5, 2, 4
Let q(w) be the second derivative of -1/4*w**5 - 5/12*w**4 + 10*w**2 + 60*w + 10/3*w**3 + 0. Factor q(j).
-5*(j - 2)*(j + 1)*(j + 2)
Let l(y) be the second derivative of -166*y + 1/2*y**3 + 0*y**2 + 1/24*y**4 + 0 - 1/10*y**5 + 1/60*y**6. What is b in l(b) = 0?
-1, 0, 2, 3
Let l = -11188 - -11227. Let i(m) be the first derivative of -30*m + 111/2*m**2 - 7*m**3 - l. Let i(w) = 0. Calculate w.
2/7, 5
Let h(z) be the second derivative of 7*z**5/90 + 11*z**4/3 + 476*z**3/9 + 392*z**2/9 - 136*z + 7. Factor h(s).
2*(s + 14)**2*(7*s + 2)/9
Let f = -261 + 263. Solve 74*r**2 - 12 - f*r - 75*r**2 - 3*r + 3*r - 5*r = 0.
-4, -3
Let c(i) be the second derivative of -i**4/28 + 33*i**3/14 - 135*i**2/7 - 770*i. Solve c(x) = 0.
3, 30
Let h(i) be the third derivative of -5*i**6/24 - 17*i**5/24 - 5*i**4/12 - 9*i**3/2 - 49*i**2. Let s(q) be the first derivative of h(q). Factor s(k).
-5*(k + 1)*(15*k + 2)
Let 498/13*i + 250/13 - 4/13*i**2 = 0. Calculate i.
-1/2, 125
Determine s so that 164/17 + 168/17*s**2 + 330/17*s + 2/17*s**3 = 0.
-82, -1
Let a(t) = t**3 + 7*t**2 + 2*t + 10. Let m be a(-7). Let j be 2 - (-2)/m*-4. Factor 2*v**5 + 12*v**j + 20*v**3 + 6*v**3 + 5*v + 3*v + 24*v**2.
2*v*(v + 1)**2*(v + 2)**2
Factor -789*i**2 - 3509*i + 2552 - 590*i - 572*i + 3337*i**2 + 2*i**3 - 431*i.
2*(i - 1)**2*(i + 1276)
Let o be (-6)/21 - 16/(-7). Suppose 76*i = 81*i - 4*p - 22, 4*p - 32 = -4*i. Factor -1 + 3*s**4 + 0 + 4 + 3*s - 5*s**o - i*s**3 - s**2 + 3*s**5.
3*(s - 1)**2*(s + 1)**3
Let v(j) = j**3 + 27*j**2 + 52*j + 52. Let n be v(-25). Determine z so that 9 - 4*z**4 - 6*z**2 - 18*z**n + 13 + 20*z**3 + 10 - 16*z = 0.
-1, 2
Let j(h) = -21*h**4 + 75*h**3 + 21*h**2 - 183*h + 36. Let g(q) = q**4 + q**3 - q**2 + 5*q - 2. Let p(v) = 18*g(v) + j(v). Find r such that p(r) = 0.
-1, 0, 1, 31
Suppose 2*k - 5*k + 15 = s, 5*k = 5*s + 25. Let c be 51/119 + 5/((-315)/(-57)). Let c*n + s + 8/3*n**2 + 4/3*n**3 = 0. What is n?
-1, 0
Let v(b) be the first derivative of -1/3*b**4 - 88/3*b**2 + 56/9*b**3 - 78 + 160/3*b. Suppose v(i) = 0. Calculate i.
2, 10
Let w(j) be the second derivative of 91*j + 21/8*j**5 + 13/4*j**2 - 3/5*j**6 + 59/24*j**4 + 0 - 23/4*j**3. What is n in w(n) = 0?
-1, 1/3, 13/4
Let f(p) be the first derivative of 38/3*p**2 + 5/3*p**4 - 46 - 2/15*p**5 + 8*p**3 + 26/3*p. Factor f(m).
-2*(m - 13)*(m + 1)**3/3
Let v(i) = -38*i**2 - 224*i - 2400. Let t be 2 - -3 - (7 - -3). Let r(w) = -12*w**2 - 75*w - 800. Let y(c) = t*v(c) + 16*r(c). Factor y(h).
-2*(h + 20)**2
Suppose 822 = 11*s - 498. Determine z, given that 20*z**2 - 16*z**2 - 8*z**2 - 116 - s*z = 0.
-29, -1
Determine z, given that 54*z**3 - 128340 + 90*z - 3*z**4 - 7*z**2 - 134*z**2 + 128340 = 0.
0, 1, 2, 15
Solve 13*d**3 - 2053 - 919*d**2 - 2778 + 14670*d + 1564 + 58*d**2 - 315*d = 0.
3/13, 33
Let q(j) be the second derivative of j**5/5 + 7*j**4/3 - 80*j**3 + 12*j - 331. Find t, given that q(t) = 0.
-15, 0, 8
Let m(w) = 4*w**2 + 259*w + 4096. Let v = 59 - 56. Let q(a) = -a. Let y(g) = v*q(g) + m(g). Factor y(d).
4*(d + 32)**2
Let w be ((-12908)/1383)/(1/4 + (-214)/24). Solve 18/13*a**3 + 2/13*a**5 + w*a**2 + 4/13*a + 10/13*a**4 + 0 = 0.
-2, -1, 0
Let u be (-5)/(-15)*(-20)/4*(-66)/55. Factor 4/9*t**u - 1/3 + 1/9*t.
(t + 1)*(4*t - 3)/9
Let n(x) = 2*x**2 - 4. Let k be n(2). Suppose 8*r**4 - 5*r**2 - 27*r**2 - k*r**3 - 24 + 31*r - 16*r**3 + 37*r = 0. What is r?
-2, 1/2, 1, 3
Let h(q) = 13*q - 48. Let a be h(11). Suppose a + 0*f**4 - 16*f**3 - 170 - 8*f**2 + 48*f + 111 + 4*f**4 = 0. Calculate f.
-1, 3
Let b(o) = -2*o**3 + 81*o**2 + 70*o + 29. Let f(d) = -26*d**2 - 24*d - 10. Let a(h) = 2*b(h) + 7*f(h). Suppose a(k) = 0. Calculate k.
-3, -1
Factor -94/3*f**2 + 0 - 2/3*f**3 + 196/3*f.
-2*f*(f - 2)*(f + 49)/3
Let r(w) be the second derivative of 0 + 47/35*w**5 - 310*w + 0*w**2 - 16/35*w**6 + 25/21*w**3 - 40/21*w**4 + 3/49*w**7. Factor r(t).
2*t*(t - 1)**2*(3*t - 5)**2/7
Factor 148 + 670/9*s + 2/9*s**2.
2*(s + 2)*(s + 333)/9
Suppose 0 = -4*v + 5*v - 2. Let c = -581 + 605. What is n in -20*n**2 - 4*n**3 + c + 38*n**v - 36*n + n**3 = 0?
2
Let o = 2619077/7857213 + -2/2619071. Factor 22/3*h**3 + 23*h**2 + o*h**4 + 676/3 - 572/3*h.
(h - 2)**2*(h + 13)**2/3
Let x(w) be the second derivative of w**7/210 + 16*w**6/75 + 76*w**5/25 + 589*w**4/30 + 371*w**3/6 + 95*w**2 - 6747*w. Let x(f) = 0. Calculate f.
-19, -5, -2, -1
Let v(b) = -7*b**2 + 19*b - 21. Let q(g) = 64*g + 58*g + 4*g**2 + 10 - 132*g. Let l(m) = -11*q(m) - 6*v(m). Suppose l(u) = 0. Calculate u.
-4, 2
Suppose 1517 = -15*x + 4487. Let n be (2/4 - 0) + (-77)/x. Solve 2/3*u**2 - n + 5/9*u = 0 for u.
-1, 1/6
Let g(z) be the first derivative of -216*z**6 + 45936*z**5/5 - 16153*z**4 + 32984*z**3/3 - 3544*z**2 + 544*z - 188. Solve g(x) = 0 for x.
2/9, 1/2, 34
Let x(s) = -25*s - 83. Let t be x(11). Let c = t + 3224/9. Let 0*f + 2/9*f**2 + 4/9*f**3 + c*f**4 + 0 = 0. What is f?
-1, 0
Factor -1/3*r**4 + 307/3*r - 83*r**2 - 122/3 + 65/3*r**3.
-(r - 61)*(r - 2)*(r - 1)**2/3
Find z, given that 10/7*z**3 + 34/7*z**2 - 2/7*z**4 + 0 - 6*z = 0.
-3, 0, 1, 7
Suppose 3 = -12*f + 13*f. Factor -4*d**3 + 2*d**4 - 774*d + 778*d + 0*d**f - 2*d**2.
2*d*(d - 2)*(d - 1)*(d + 1)
Let l(x) be the second derivative of -x**5/130 + 10*x**4/39 - 47*x**3/39 - 68*x**2/13 + 2606*x. Factor l(v).
-2*(v - 17)*(v - 4)*(v + 1)/13
Let p = -2/33519421 + 273082724559/28022235956. Let x = p - -1/209. Factor -3/4*n**3 - 15/2 - 3/2*n**2 + x*n.
-3*(n - 2)*(n - 1)*(n + 5)/4
Let n(c) be the third derivative of -