+ j**8/840 - j**7/210 + 109*j**3/6 + 112*j. Let z(h) be the second derivative of a(h). What is b in z(b) = 0?
-2, 0, 1
Suppose 2*v + 5*p + 8 - 1 = 0, 5*v + 3*p = 30. Let r = v + -7. Factor -4*m + 30 + 20*m + m**2 + 2 + m**r.
2*(m + 4)**2
Let d = 21 + -19. Factor 9*y**2 - 262 - d*y**3 + 262 - 11*y**2 - 22*y**2.
-2*y**2*(y + 12)
Let d = -13594 - -13594. Let g(t) be the first derivative of 3*t**2 + d*t + 3/4*t**4 + 12 - 3*t**3. Let g(f) = 0. Calculate f.
0, 1, 2
Suppose 2496 + l**3 + 465*l - 4767 + 2503 + 234*l**2 = 0. What is l?
-232, -1
Let s(m) be the third derivative of 1/5*m**5 - 19/30*m**6 + 87*m**2 + 0*m + 1/84*m**8 + 3*m**4 + 0*m**3 - 2/35*m**7 + 0. Find j such that s(j) = 0.
-3, -1, 0, 1, 6
Let c(u) be the third derivative of u**5/75 - 21*u**4/10 + 116*u**3/3 - 611*u**2. Suppose c(h) = 0. Calculate h.
5, 58
Let m be (-6)/16 + (-1941869)/(-384888). Let j = -2/553 + m. Find z, given that 686/3*z + 2401/6 + 49*z**2 + j*z**3 + 1/6*z**4 = 0.
-7
Let d(u) = -525*u - 3. Let y be d(-2). Let y - 513 + 10*z - 526 + 2*z**2 = 0. What is z?
-4, -1
Suppose -18*w + 20*w - 4 = 0. Let z be (-2)/11*-1 + -30 + 74295/2475. Factor 1/5*l + z*l**w - 6/5.
(l - 2)*(l + 3)/5
Suppose 6*z - 2*z = -2*f - 580, 3*f = 4*z - 910. Let l = f + 300. Determine v so that 0 - 1/8*v**l - 3/8*v = 0.
-3, 0
Let t = -210 - -214. Factor -18*v + 37*v + 45*v + 256 + t*v**2.
4*(v + 8)**2
Let x be ((7 + -7)/3)/(7 + -4). Let o(v) be the first derivative of 7 + 0*v**3 - 12/5*v**5 + x*v - 8*v**2 + 7*v**4. Let o(m) = 0. What is m?
-2/3, 0, 1, 2
Factor 553/2*u + 1/2*u**2 - 277.
(u - 1)*(u + 554)/2
Find l, given that 338/5*l**2 + 76/5*l**3 - 76/5*l - 336/5 - 2/5*l**4 = 0.
-4, -1, 1, 42
Factor -484/7*t - 480/7 - 4/7*t**2.
-4*(t + 1)*(t + 120)/7
Let r = -25 - -24. Let t be 7/r*480/(-140). Suppose -2*p**2 + 26*p + t*p - 125 + 4*p**2 - 7*p**2 = 0. What is p?
5
Suppose 13*d = 8*d - 930. Let m be (-2 - (-14)/10) + d/(-310). Let 4/9*k + 2/9*k**4 + m + 0*k**3 - 2/3*k**2 = 0. Calculate k.
-2, 0, 1
Let b(u) = u**3 - u**2 + u. Let x(r) be the second derivative of -3*r**5/20 - 5*r**4/2 - 11*r**3/2 - 192*r. Let f(j) = 6*b(j) + 3*x(j). Factor f(d).
-3*d*(d + 1)*(d + 31)
Suppose -6293 - 11134 = -37*m. Let z = -471 + m. Determine y, given that z - 8/11*y + 2/11*y**2 = 0.
0, 4
Let l(u) be the first derivative of 8/5*u**5 + 6*u + 27/4*u**4 + 38/3*u**3 + 1/12*u**6 + 49/4*u**2 - 39. What is f in l(f) = 0?
-12, -1
Let 1614*o + 397996 + 153124 + 792*o**2 - 393*o**2 - 394*o**2 + 1706*o = 0. Calculate o.
-332
Factor 0 + 3/8*r**2 - 81/8*r.
3*r*(r - 27)/8
Let n(j) be the second derivative of j**4/30 + 7*j**3/30 + j**2/2 + 3391*j. Factor n(d).
(d + 1)*(2*d + 5)/5
Suppose -4*z - u = u - 72, 2*u - 56 = -3*z. Let b(s) = s**2 - 17*s + 18. Let w be b(z). Factor 3*p**3 - 7*p + 27 + 52*p + 43*p**2 - 22*p**w.
3*(p + 1)*(p + 3)**2
Let w(v) be the first derivative of 3 + 4/13*v**2 - 2/39*v**3 + 10/13*v. Find o, given that w(o) = 0.
-1, 5
Suppose 2*y = -3*a - 20, -5*a = -2*y - 24 + 68. Factor 0*s - 1/6*s**3 + 1/6*s**y + 0.
-s**2*(s - 1)/6
Let 20*m + 135*m**3 + 0 + 25/2*m**4 + 102*m**2 = 0. What is m?
-10, -2/5, 0
Let 271063296*h + 691488*h**2 + 39846304512 + 1/3*h**4 + 784*h**3 = 0. Calculate h.
-588
Let -128/11*b**3 + 486/11*b**2 + 428/11*b + 6/11*b**4 - 192/11 = 0. What is b?
-1, 1/3, 6, 16
Suppose -136/15*l + 0 + 2/15*l**3 - 64/15*l**2 = 0. What is l?
-2, 0, 34
Let s(v) = -11*v + 175. Let x(w) = -4*w + 58. Let o(m) = -2*s(m) + 7*x(m). Let q be o(9). Factor -69 - 21*n**q - 54 + 153*n + 81.
-3*(n - 7)*(7*n - 2)
Let d(l) be the second derivative of l**5/20 + 67*l**4/2 + 401*l**3/6 - 67*l + 1. Factor d(k).
k*(k + 1)*(k + 401)
Suppose -3*a - v + 107895 = 0, -23*v + 19*v = -12. Factor -2336 + 80838*w**2 + 30492*w**4 + 78705*w**3 + a*w + 1554 + 6614 + 3993*w**5.
3*(w + 3)**2*(11*w + 6)**3
Let c(s) be the second derivative of -56/5*s**4 - 1/50*s**6 - 2 + 9/10*s**5 - 3*s**3 + 135/2*s**2 + 22*s. Solve c(i) = 0.
-1, 1, 15
Factor 41*a - 204/5 - 1/5*a**2.
-(a - 204)*(a - 1)/5
Let j(k) be the third derivative of -k**7/280 - k**6/300 - 79*k**3/3 - 28*k**2 + 2. Let m(o) be the first derivative of j(o). Factor m(s).
-3*s**2*(5*s + 2)/5
Let b(q) = 4*q**2 + 30*q - 6. Let t(v) be the first derivative of -v**3/3 - 3*v**2 + v - 81. Let i(y) = 3*b(y) + 14*t(y). Find l, given that i(l) = 0.
1, 2
Suppose 43*v**3 - 33*v**3 - 25*v**3 - 26*v**2 + 60*v + 51*v**2 = 0. What is v?
-4/3, 0, 3
Factor 80*i**3 - 11346*i**2 + 395778*i**4 + 105*i**3 + 238328 + 226796*i - 395779*i**4.
-(i - 62)**3*(i + 1)
Let w(d) be the second derivative of d**5/40 + 39*d**4/4 + 1521*d**3 + 118638*d**2 - 674*d. Let w(t) = 0. Calculate t.
-78
Let h(q) = q**3 - 15*q**2 - 18*q + 37. Let n be h(16). Factor -45*i - 50*i + 60*i + 30 + n*i**3.
5*(i - 2)*(i - 1)*(i + 3)
Let j be 0 + (2 - 0) - -3. Suppose -4*i + 2*v = -0*v - 330, j*i - 412 = 2*v. Solve -i*n**2 - 67*n**2 + 31*n**2 - 7*n**2 - 5 - 50*n = 0.
-1/5
Let j(k) be the first derivative of -k**5/45 + 2*k**3/9 + k**2 + 80*k - 100. Let l(w) be the second derivative of j(w). Suppose l(d) = 0. Calculate d.
-1, 1
Suppose 3*n - 5*b + 794 = 740, 0 = 4*n - 5*b + 52. Factor 30/11*u - 2/11*u**n + 32/11.
-2*(u - 16)*(u + 1)/11
Determine c so that 2/9*c**3 + 26/9*c**2 - 22/3*c - 10 = 0.
-15, -1, 3
Let l(b) = 82 - 27*b + b**2 + 106*b - 20*b. Let q(f) = 3*f**2 + 117*f + 166. Let s(x) = 13*l(x) - 6*q(x). Factor s(g).
-5*(g - 14)*(g + 1)
Let y(g) be the second derivative of 125*g**7/42 - 10*g**6 + 7*g**5/4 + 10*g**4 + 10*g**3/3 + g + 991. Find c such that y(c) = 0.
-2/5, -1/5, 0, 1, 2
Let u(t) be the first derivative of -t**4/2 - 19*t**3/2 + 45*t**2/4 - 7696. Solve u(h) = 0 for h.
-15, 0, 3/4
Let f be (-4)/(-7)*378/108. Determine z, given that -2/7*z**f - 6/7*z + 0 = 0.
-3, 0
Factor 0 + 2/7*l**2 - 6/7*l.
2*l*(l - 3)/7
Let y be (-1 - -4)/(2 - 1). Suppose f = -5*d + 8, -2*d - 5 + y = 3*f. What is u in 20 + 11*u**2 - 9*u - 6*u - 16*u**d = 0?
-4, 1
Let o(w) be the second derivative of 7*w**5/5 - 236*w**4/3 + 326*w**3/3 + 132*w**2 + 766*w. Factor o(d).
4*(d - 33)*(d - 1)*(7*d + 2)
Factor 0 + 2*p**4 + 0*p - 4/3*p**2 - 2/3*p**3.
2*p**2*(p - 1)*(3*p + 2)/3
Let o(p) be the first derivative of 4*p**3/9 + 438*p**2 + 2624*p/3 - 1545. Find s such that o(s) = 0.
-656, -1
Suppose 22/5*h - 104/5 + 1/5*h**2 = 0. What is h?
-26, 4
Let a(i) be the first derivative of 6*i - 1/36*i**4 - 1/9*i**3 + 1/30*i**5 - 6 + 1/6*i**2. Let g(y) be the first derivative of a(y). Solve g(m) = 0 for m.
-1, 1/2, 1
Let v(j) be the second derivative of 236*j + 10*j**3 + 1/12*j**4 + 0 + 59/2*j**2. Determine x, given that v(x) = 0.
-59, -1
Let m = -305 + 331. Let k = 88/3 - m. Factor -o**3 - 3*o - k*o**2 - 2/3.
-(o + 1)*(o + 2)*(3*o + 1)/3
Let u be (-3 - (-68)/12)/((-6)/9). Let a be 3/6 + (0 - (-2)/u). Determine p, given that -3/8*p**3 + a - 3/2*p**2 - 3/2*p = 0.
-2, 0
Let z(x) = x**2 - 475*x + 7344. Let d be z(16). Determine o, given that 1/2*o**4 - 7/2*o**3 + d + 3*o**2 + 0*o = 0.
0, 1, 6
Let t(l) = 2*l**3 - l**2 - l - 1. Let p(z) = -2*z**4 - 2*z**3 + 11*z**2 + 17*z - 3. Let d be (-10)/(-20) + (-11)/(-2). Let j(a) = d*t(a) - 2*p(a). Factor j(x).
4*x*(x - 2)*(x + 1)*(x + 5)
Let v(m) be the third derivative of m**8/151200 - m**7/2520 - 2*m**6/675 + m**5/2 + 132*m**2. Let q(t) be the third derivative of v(t). Factor q(u).
2*(u - 16)*(u + 1)/15
Factor -868*a**2 - 5280*a + 286*a**2 - 2169476 + 291*a**2 + 287*a**2 + 427076.
-4*(a + 660)**2
Suppose 0*o = 3*i + o - 38, 3*o = 3*i - 18. Suppose -34*f + 113 = i. Determine r so that -8/5*r**f + 4/5*r**4 + 4/5*r**5 + 4/5 - 8/5*r**2 + 4/5*r = 0.
-1, 1
Let v(z) be the third derivative of z**8/3696 - 2*z**7/165 + 32*z**6/165 - 128*z**5/165 - 512*z**4/33 + 8192*z**3/33 + 1657*z**2. Factor v(y).
(y - 8)**4*(y + 4)/11
Let a(x) be the second derivative of -x**5/40 + 113*x**4/8 + 341*x**3/6 - 3144*x. Find v, given that a(v) = 0.
-2, 0, 341
Let d(n) = 2*n**2 + 903*n + 881. Let m(a) = a**2 + 449*a + 440. Let q(j) = -2*d(j) + 5*m(j). Factor q(y).
(y + 1)*(y + 438)
Let w(v) = -2*v**2 - v - 5. Let q(u) = -3*u**2 + 5*u - 28. Let j(o) = -o**2 + o - 7. Let z(y) = -18*j(y) + 4*q(y). Let a(i) = 11*w(i) + 4*z(i). Factor a(k).
(k - 1)*(2*k - 1)
Let a = 2551 + -2548. Let f(x) be the first derivative of -6*x**2 - 2/3*x**a - 16 - 18*x. Solve f(g) = 0 for g.
-3
Let n be (