2 - 16 + 2*d**4 + 2*d**l - 24*d + 8*d.
4*(d - 1)*(d + 1)*(d + 2)**2
Let p(z) = -z**3 + 2*z. Let d(n) = -10*n**3 - 96*n**2 - 260*n + 960. Let o(g) = -d(g) + 6*p(g). Solve o(u) = 0 for u.
-20, -6, 2
Let a = 5533 - 470268/85. Let r = 21/17 - a. Factor -r*q**2 + 0 + 8/5*q.
-4*q*(q - 2)/5
Suppose 405/2*b**2 + 48 - 147/2*b**3 - 349/2*b - 5/2*b**4 = 0. What is b?
-32, 3/5, 1
Let t(x) be the third derivative of x**6/120 + 43*x**5/60 - 4*x**2 - 57. Suppose t(z) = 0. Calculate z.
-43, 0
Determine a so that -1812*a**2 + 34*a**3 + 779 - 169*a**3 + 126*a**3 + 427 - 597*a = 0.
-201, -1, 2/3
Let c = 31145 - 124571/4. Let c*v + 1/4*v**2 - 5/2 = 0. What is v?
-10, 1
Let o(s) = 99*s**3 + 128*s**2 - 249*s + 30. Let u(t) = 93*t**3 + 131*t**2 - 248*t + 30. Let a(z) = -3*o(z) + 4*u(z). Suppose a(b) = 0. Calculate b.
-3, 2/15, 1
Let z(p) be the first derivative of -p**6/66 - 17*p**5/55 - 75*p**4/44 - 103*p**3/33 - 2*p**2 + 1450. Let z(h) = 0. Calculate h.
-11, -4, -1, 0
Let y(s) be the third derivative of -s**5/120 - 13*s**4/4 - 507*s**3 - 2640*s**2. Let y(x) = 0. Calculate x.
-78
Solve 117*t**2 + 2003*t**3 + t**5 - 3*t**2 + 2617*t**3 - 114*t**4 - 3249*t + 0*t**5 - 1372*t**3 = 0 for t.
-1, 0, 1, 57
Let m be 4 + 730 - (-1 - 0)*0. Let g = m - 734. Factor -4*w**3 + g - 68/5*w**2 - 24/5*w.
-4*w*(w + 3)*(5*w + 2)/5
Let o = 21449 + -21445. Let z(u) be the first derivative of -1/2*u**o + 4/3*u + u**2 - 2/15*u**5 - 2/9*u**3 - 19. What is x in z(x) = 0?
-2, -1, 1
Let w be ((-36)/20)/((-9)/15)*3645. Factor 0*z**5 + 270*z**3 + w - 29*z**4 - 4*z**5 + 1350*z**2 - 16*z**4 - 8505*z - z**5.
-5*(z - 3)**3*(z + 9)**2
Let t = 4 - 0. Suppose -5*d - 73 = 20*f - 23*f, 5*f + 2*d - 101 = 0. Suppose 25 - a**4 - 27*a**2 - 21*a + t*a**4 - 1 + f*a**3 + 0*a**4 = 0. Calculate a.
-8, -1, 1
Let w(f) = f**2 + f. Let i(d) = -3*d**2 + 47*d - 40. Let j = 106 + -101. Suppose -3*u + 7 - 32 = j*h, 4*h + 2*u + 18 = 0. Let t(o) = h*w(o) + i(o). Factor t(k).
-5*(k - 8)*(k - 1)
Let i(f) be the second derivative of f**4/4 + f**3/6 + f. Let q(b) be the first derivative of -7*b**3/3 - b**2 + 205. Let u(r) = -5*i(r) - 2*q(r). Factor u(a).
-a*(a + 1)
Let h(j) be the third derivative of -2/9*j**3 + 0*j - j**2 - 1/36*j**5 + 1/6*j**4 - 15. Let h(x) = 0. What is x?
2/5, 2
Let j = -910 - -912. Let u(m) be the second derivative of -3/2*m**4 + 7/10*m**5 + 4*m**j - 4*m**3 + 0 - 12*m. Let u(r) = 0. Calculate r.
-1, 2/7, 2
Let d(y) = -y**4 - y**3 + y**2 + 1. Let f(k) = -k**4 - k**4 - k**4 + 2*k**3 + k**2 - 5*k**3 + 5. Let p(s) = 5*d(s) - f(s). Factor p(g).
-2*g**2*(g - 1)*(g + 2)
Let x(f) be the second derivative of -f**7/42 - 4*f**6/45 + f**5/12 + 5*f**4/6 + 14*f**3/9 + 4*f**2/3 + 814*f. Determine u so that x(u) = 0.
-2, -1, -2/3, 2
Let k(q) = -29*q**2 - 241*q - 465. Let x(j) = 8*j**2 + 61*j + 117. Let a(v) = -6*k(v) - 22*x(v). Factor a(u).
-2*(u - 54)*(u + 2)
Let l(z) be the first derivative of -z**6/9 - 632*z**5/15 - 33073*z**4/6 - 2247836*z**3/9 + 2348324*z**2/3 - 2382032*z/3 + 1350. Suppose l(k) = 0. Calculate k.
-106, 1
Let v(s) = 5*s**2 + 5413*s - 1505. Let g(w) = w**2 + 675*w - 188. Let l(i) = 51*g(i) - 6*v(i). Factor l(n).
3*(n + 93)*(7*n - 2)
Let z(c) = 2*c**2 + c + 2. Let h(s) = 9*s**2 - 8*s - 30. Let d(i) = h(i) - 5*z(i). Factor d(m).
-(m + 5)*(m + 8)
Let a(r) = 35*r + 50. Let g(d) = -d**2 - 1. Let f(s) = 5*s**2 - 34*s - 43. Let o(n) = -f(n) - 6*g(n). Let u(h) = -4*a(h) + 5*o(h). Determine i so that u(i) = 0.
-3
Let b(l) = l**3 + 2*l**2 - 8*l - 10. Let m = 357 + -360. Let s be b(m). Find w, given that 0 - 9/2*w**2 + 3/2*w**4 - 3/8*w**s + 3/4*w**3 - 27/8*w = 0.
-1, 0, 3
Let l(h) = -5*h**2 + 44*h + 12. Let w be l(9). Let x(p) be the first derivative of -3 - 13*p**2 - 12*p - 4/3*p**w. Determine c so that x(c) = 0.
-6, -1/2
Let g(a) be the first derivative of a**9/19656 + a**8/10920 + 3*a**3 - 172. Let y(t) be the third derivative of g(t). Factor y(n).
2*n**4*(n + 1)/13
Factor -129/4*j**2 - 189*j + 0 - 3/4*j**3.
-3*j*(j + 7)*(j + 36)/4
Suppose 5*d + 0*j - j - 83 = 0, j = -3*d + 45. Factor 3*m**2 - 6*m**2 + 4*m**2 + 3*m**2 + 8*m - 2*m**3 - d.
-2*(m - 2)**2*(m + 2)
Let p(k) be the first derivative of -k**5/20 - 3*k**4/4 - 5*k**3/2 - 7*k**2/2 + 7*k - 16. Let a(b) be the first derivative of p(b). Factor a(i).
-(i + 1)**2*(i + 7)
Suppose 924 = 5*c - 3*f, 73*c - 186 = 72*c + f. Suppose -57*l + c = 4*l. Solve -2/7 - 2/7*n**l - n - n**2 = 0 for n.
-2, -1, -1/2
Let h be 168/49 - (-21)/(-49). Let d(m) be the second derivative of -1/75*m**6 + 0 + 1/50*m**5 + 0*m**h + 1/30*m**4 - 1/105*m**7 - 29*m + 0*m**2. Factor d(i).
-2*i**2*(i - 1)*(i + 1)**2/5
Let m be 340/(-8) - (-10)/(-4). Let u be 20/(-12)*36/m. Solve 8/9*p + u - 4/9*p**2 = 0.
-1, 3
Let m(t) = -10*t**3 + 1872*t**2 - 17774*t - 181656. Let o(v) = v**3 - 208*v**2 + 1975*v + 20184. Let w(k) = -3*m(k) - 26*o(k). Factor w(y).
4*(y - 29)**2*(y + 6)
Let j(k) = -k - 24. Let o be j(-16). Let x be (-4 - -6)*(-12)/o. Determine z, given that 225*z**2 - 14 - 16 + 35*z + 104*z**3 - 34*z**x = 0.
-3, -1/2, 2/7
Let n(t) be the first derivative of 13/18*t**4 - 2/15*t**5 + 49 + 16/9*t - 4/9*t**2 - 28/27*t**3. Suppose n(p) = 0. What is p?
-2/3, 1, 2
Let x(y) be the first derivative of 4*y**3/3 - 116*y**2 - 732*y + 418. Determine t so that x(t) = 0.
-3, 61
Let d(x) be the second derivative of 9/10*x**3 + 0 + 3/2*x**2 + 1/5*x**4 + 72*x. Let d(g) = 0. What is g?
-5/4, -1
Let s(p) = 29*p**2 - 1584*p - 4728. Let q(d) = -12*d**2 + 790*d + 2364. Let a(t) = -5*q(t) - 2*s(t). Factor a(n).
2*(n - 394)*(n + 3)
Suppose 5*c = 3*x + 7, -3*c + 19*x - 16*x + 9 = 0. Let a be ((-10)/325*-26)/(1 - c). Find o, given that -6/5*o + 0 + a*o**2 = 0.
0, 3
Let o(f) = 44*f + 137. Let n be o(-4). Let p be (n/(-13))/((-4)/(-2)). Factor -3/4*s**5 - p*s**2 + 0*s + 0*s**4 + 9/4*s**3 + 0.
-3*s**2*(s - 1)**2*(s + 2)/4
Let o = 1629 - 393. Let g = 8667/7 - o. Factor 39/7*p - 3/7*p**3 + g*p**2 + 3.
-3*(p - 7)*(p + 1)**2/7
Let 15/2 + 1/4*k**2 + 13/4*k = 0. What is k?
-10, -3
Let c(f) be the third derivative of f**8/1344 + 29*f**7/280 + 817*f**6/160 + 4993*f**5/48 + 4425*f**4/4 + 6750*f**3 + 897*f**2. Factor c(w).
(w + 5)**3*(w + 36)**2/4
Let f(r) = r**2 - 2*r - 1. Let d(j) = -17*j - 9 + 261 + 65*j + 5*j**2 - 24*j. Let b(o) = d(o) - 4*f(o). Let b(m) = 0. What is m?
-16
Let x(y) = -y**4 + y**3 - y**2 + y + 1. Let v(k) = 8*k**4 + 2*k**3 - 48*k**2 + 70*k - 38. Let p(s) = -2*v(s) - 12*x(s). Solve p(i) = 0 for i.
-8, 1, 2
Let u(j) = -12*j**3 - 363*j**2 + 675*j + 981. Let f(l) = -17*l**3 - 544*l**2 + 1012*l + 1474. Let t(y) = 9*f(y) - 13*u(y). Factor t(p).
3*(p - 57)*(p - 3)*(p + 1)
Let s(p) be the first derivative of 62 + 16/21*p + 38/21*p**2 + 2/7*p**3. Factor s(z).
2*(z + 4)*(9*z + 2)/21
Let r = 472 - 461. Let x be ((-24)/35)/(((-66)/15)/r). Let 0 - 12/7*s**5 - 15/7*s**4 + x*s + 60/7*s**2 + 45/7*s**3 = 0. Calculate s.
-2, -1, -1/4, 0, 2
Let r be 0*(7/(-3) + (0 - -10)/5). Let y(f) be the second derivative of 1/9*f**4 + 12*f + 1/30*f**5 + r*f**2 + 1/9*f**3 + 0. Factor y(b).
2*b*(b + 1)**2/3
Let d be (-1)/8*(-13 - (-3 - 10))/((-88)/11). Determine y, given that 25/4*y**5 - 65*y**2 - 115/2*y**4 + d - 11*y - 471/4*y**3 = 0.
-1, -2/5, 0, 11
Let c be (-48)/12 - (-182)/49 - 23/(-7). Factor 4107/5*l**2 + 222/5*l**c + 3/5*l**4 + 0 + 0*l.
3*l**2*(l + 37)**2/5
Let k be (406/(-609))/(10/(-6)). Determine u so that k*u**5 - 2/5*u**4 + 0 + 0*u**2 + 0*u + 0*u**3 = 0.
0, 1
Let t be (29050/(-30140))/5 + 6/33. Let d = 13435/822 + t. Factor 217/3*x**2 + d*x**3 - 136/3*x + 20/3.
(x + 5)*(7*x - 2)**2/3
Let w be 2/6*(-8 + 17). Let c(f) = 24*f**4 + 18*f**3 - 159*f**2 - 405*f - 246. Let m(g) = -g**5 + g**4 + g**2 - 1. Let u(i) = w*m(i) - c(i). Factor u(d).
-3*(d - 3)*(d + 1)*(d + 3)**3
Suppose -20*y - 10146 = 18*y. Let h = -533/2 - y. Solve 1 + h*p - 1/2*p**2 = 0 for p.
-1, 2
Let i(t) be the third derivative of t**7/945 + t**6/270 - 2*t**5/27 - 11*t**4/18 - 5*t**3/3 - 3770*t**2. Solve i(u) = 0 for u.
-3, -1, 5
Let a(d) be the first derivative of -d**4/2 + 3*d**2 - 4*d - 3726. Let a(k) = 0. What is k?
-2, 1
Let p(g) = 5*g**3 - g**2 - 3*g - 1. Let n(u) = -23*u**3 - 584*u**2 + 1797*u - 1190. Let a(h) = -n(h) - 4*p(h). Factor a(x).
3*(x - 2)*(x - 1)*(x + 199)
Let y(x) = x**3 + 11*x**2 + 12*x + 25. Let i be y(-10). Solve i*h**2 - 30*h + 174*h + 131*h - 280 