lculate g.
-59, 2/3
Let s = 3414 + -3414. Let o(q) be the third derivative of 0*q**3 - 1/15*q**4 + 1/15*q**5 - 12*q**2 + 2/525*q**7 - 2/75*q**6 + s + 0*q. Solve o(f) = 0 for f.
0, 1, 2
Find i such that -1/2*i + 3*i**2 - 3 + 1/2*i**3 = 0.
-6, -1, 1
Suppose 0 = 39*p + 12*p. Let u(r) be the first derivative of -1/24*r**6 - 3 - 1/6*r**3 + p*r**5 + 0*r + 0*r**2 + 3/16*r**4. Let u(a) = 0. What is a?
-2, 0, 1
Let l(f) = 3*f**3 + 12*f**2 - 188*f - 4. Let y(g) = -24*g**3 - 96*g**2 + 1506*g + 33. Let r(j) = 33*l(j) + 4*y(j). Suppose r(z) = 0. Calculate z.
-10, 0, 6
Let a(w) = 2*w**2 + 63*w + 426. Let s(m) = -7*m**2 - 220*m - 1492. Let t(i) = -18*a(i) - 5*s(i). Determine q, given that t(q) = 0.
-26, -8
Let n(l) be the first derivative of 165/2*l**2 - 40/3*l**3 + 2*l**5 - 90*l + 5/6*l**6 - 25/2*l**4 - 99. Suppose n(p) = 0. Calculate p.
-3, 1, 2
Factor -98*h**4 - 4*h**3 - 6*h - 104*h**4 - 5*h**3 + 3*h**5 + 16*h**2 + 199*h**4 - h**2.
3*h*(h - 1)**3*(h + 2)
Let 57 + 931*m + 891 - 44*m**2 + 20*m + 25*m**2 + 22*m**2 = 0. Calculate m.
-316, -1
Let q(x) = 7*x**3 + 133*x**2 + 4349*x - 4417. Let d(k) = k**3 - k + 12. Let n(o) = -6*d(o) + q(o). Find h such that n(h) = 0.
-67, 1
Let u = -43949/30 - -1465. Let s(b) be the third derivative of 0*b**5 - 1/84*b**8 + 0*b - u*b**6 + 4/105*b**7 - 7*b**2 + 0*b**3 + 0 + 0*b**4. Factor s(h).
-4*h**3*(h - 1)**2
Let b(v) be the first derivative of 9*v**5/20 - 87*v**4/16 - 21*v**3 - 3*v**2/2 + 36*v - 5326. Find w such that b(w) = 0.
-2, -1, 2/3, 12
Suppose v = -5*j - 2*v + 46, -3*v = -14*j - 8. Solve -16/7*f**j + 4*f**5 + 0*f + 0 + 76/7*f**4 + 32/7*f**3 = 0 for f.
-2, -1, 0, 2/7
Let r = 13342 - 13336. Let z(i) be the second derivative of -1/3*i**3 + 1/15*i**r + 2*i**2 + 0 + 1/10*i**5 - 1/2*i**4 - 13*i. Factor z(h).
2*(h - 1)**2*(h + 1)*(h + 2)
Let h be 6/(-4) - (52/8 - 10). Determine n so that -55 + n**3 - 3*n - 38 + 84 + 3*n**3 + 9*n**h - n**3 = 0.
-3, -1, 1
Let z(r) be the first derivative of r**6/21 + 172*r**5/35 + 166*r**4/7 + 656*r**3/21 - 2654. Factor z(p).
2*p**2*(p + 2)**2*(p + 82)/7
Let v(n) = 23*n**2 - 31*n + 995. Let c(f) = -14*f**2 + 16*f - 495. Let u(j) = 5*c(j) + 3*v(j). Let u(h) = 0. What is h?
-30, 17
Let f = 59158 + -59158. Let l(u) = 2*u**2 - 4*u - 1. Let b be l(3). Find t such that -2/11*t**b + 6/11*t**3 - 4/11*t - 2/11*t**2 + f + 2/11*t**4 = 0.
-1, 0, 1, 2
Let g(j) be the first derivative of -4*j**3/3 + 1088*j**2 + 4368*j - 7257. Factor g(t).
-4*(t - 546)*(t + 2)
Let h(s) be the first derivative of -s**6/2160 - 7*s**5/720 - 14*s**3/3 + 34. Let o(n) be the third derivative of h(n). Factor o(u).
-u*(u + 7)/6
Suppose -2*d - 4*o + 244 = -7*d, 4*d - 4*o + 196 = 0. Let f be (17 + -25)*9/d. Solve 0*k + 0 + 3/2*k**2 + f*k**3 = 0.
-1, 0
Suppose -5*x + 45 - 37 = -z, 4*x = -z - 8. Factor -8/7*m - 2/7*m**2 + x.
-2*m*(m + 4)/7
Let y = 49477/12 - 4123. Let z(q) be the third derivative of 0 - 2*q**2 + 0*q - 1/12*q**6 - y*q**5 + 0*q**3 + 5/24*q**4. Factor z(u).
-5*u*(u + 1)*(2*u - 1)
Let -3/2*p**4 - 12*p**3 + 924*p + 207*p**2 - 17787/2 = 0. What is p?
-11, 7
Let r(h) be the first derivative of -h**5/60 - 7*h**4/24 - 2*h**3 - h**2/2 - 41*h + 12. Let q(f) be the second derivative of r(f). Solve q(u) = 0 for u.
-4, -3
Let r(s) be the second derivative of -s**5/80 + 5*s**4/16 + 101*s**3/12 + 42*s**2 - 3842*s. Determine i, given that r(i) = 0.
-7, -2, 24
Suppose z + 337 = 327, 5*o = -3*z - 20. Find c such that 219/4*c**o + 3/4*c**5 + 33/4*c**4 + 129/4*c**3 + 42*c + 12 = 0.
-4, -1
Let x(q) = 2*q**2 + 4*q + 11. Let s(t) = 4*t**2 + 8*t + 19. Suppose 2*k - 20 = 5*h + 18, 3*k + 18 = -5*h. Let i(u) = h*s(u) + 10*x(u). Factor i(d).
-4*(d + 1)**2
Let h = 89/585 - -2569/2340. Factor 1 - 3/4*a**2 + 5/4*a - h*a**3 - 1/4*a**4.
-(a - 1)*(a + 1)**2*(a + 4)/4
Let z = 121 - 61. Let a = z - 58. Determine u so that 4*u**2 - 4 - 3*u**2 - 8*u**a + 14*u - 3*u**2 = 0.
2/5, 1
Let x be ((-24)/105)/(1310/(-100) + 13). Factor -24/7*g**2 + 5/7*g**4 + x - 32/7*g + 8/7*g**3.
(g - 2)*(g + 2)**2*(5*g - 2)/7
Let q(o) be the third derivative of 7*o**6/24 - 141*o**5/20 + 17*o**4/12 + 4*o**3 + 1398*o**2. Determine i, given that q(i) = 0.
-1/5, 2/7, 12
Let c = -7842 - -7842. Let s(p) be the second derivative of c - 36/5*p**2 + 4/5*p**3 - 1/30*p**4 - 11*p. Find v, given that s(v) = 0.
6
Let 4/7*g**3 - 10*g**2 - 144/7*g + 2/7*g**4 - 72/7 = 0. What is g?
-6, -1, 6
Solve -284/7*u - 96/7 - 300/7*u**2 + 1/7*u**5 - 18/7*u**4 - 131/7*u**3 = 0.
-2, -1, 24
Let s(u) be the third derivative of -u**6/180 + 251*u**5/15 - 63001*u**4/3 + 126506008*u**3/9 + 826*u**2. Determine x so that s(x) = 0.
502
Let w(a) be the first derivative of -2*a**5 - 725*a**4/4 - 350*a**3/3 + 725*a**2/2 + 360*a - 5499. Let w(b) = 0. What is b?
-72, -1, -1/2, 1
Suppose -4*i = 4*l - 16, -5*i + 63*l + 16 = 64*l. Let g(y) be the first derivative of -3 - 2/3*y - 1/6*y**2 + 1/12*y**4 + 2/9*y**i. Factor g(o).
(o - 1)*(o + 1)*(o + 2)/3
Let z(r) = -2*r**3 + 15*r**2 - 6*r - 9. Let b be z(10). Let j = b - -3985/7. Determine g, given that 0 - j*g**2 - 2/7*g**3 + 2/7*g + 2/7*g**4 = 0.
-1, 0, 1
Let c be 1210 - 1248 - 534/(-14). Factor 0 - g - c*g**3 + 8/7*g**2.
-g*(g - 7)*(g - 1)/7
Let h(b) be the second derivative of b**5/240 - 3*b**4/32 + b**3/3 + 23*b**2 - 36*b. Let c(d) be the first derivative of h(d). Factor c(m).
(m - 8)*(m - 1)/4
Let q(c) be the third derivative of -c**5/75 + 331*c**4/30 - 4158*c**2. Find h such that q(h) = 0.
0, 331
Let w(s) be the second derivative of s**7/42 + s**6/5 - 3*s**5/20 - 4*s**4/3 + 2*s**3 + 7465*s. Find i, given that w(i) = 0.
-6, -2, 0, 1
Suppose -1/7*u**5 + 0 - 200/7*u - 162/7*u**3 + 340/7*u**2 + 23/7*u**4 = 0. Calculate u.
0, 1, 2, 10
Let l(t) be the second derivative of -t**5/50 + 4*t**3/5 - 16*t**2/5 - 478*t - 3. Suppose l(i) = 0. Calculate i.
-4, 2
Let w = 147 - 31. Let p = -113 + w. Let s(o) = -7*o**3 - 41*o**2 - 3*o - 3. Let y(i) = -6*i**3 - 42*i**2 - 2*i - 2. Let t(f) = p*y(f) - 2*s(f). Solve t(k) = 0.
-11, 0
Let f(v) = -v**4 + 5*v**3 + 275*v**2 - 1911*v + 1620. Let q(k) = k**4 - 4*k**3 - 276*k**2 + 1909*k - 1620. Let u(r) = -5*f(r) - 6*q(r). What is o in u(o) = 0?
-20, 1, 9
Let s = 1496 + -1027. Suppose 0 = 4*p + s - 477. Factor -6 + 9*k + 3/4*k**3 - 9/2*k**p.
3*(k - 2)**3/4
Solve -31*p**4 - 119*p**3 - 208*p**3 + 30*p**4 + 747*p**2 - 20*p**3 - 49*p**2 = 0.
-349, 0, 2
Let a(s) be the first derivative of -185 + 44*s**3 + 9/5*s**5 + 0*s - 30*s**2 - 69/4*s**4. Find z, given that a(z) = 0.
0, 2/3, 2, 5
Let j(q) be the third derivative of -q**5/100 + 3*q**4/5 - 54*q**3/5 - 11*q**2 - 27. Let j(c) = 0. What is c?
6, 18
Let r = -6697 - -6700. Let b(j) be the second derivative of 1/2*j**r - 1/2*j**4 + 0*j**2 - 1/14*j**7 + 0 + 1/5*j**6 + 0*j**5 - 9*j. Solve b(x) = 0 for x.
-1, 0, 1
Factor -13*x**3 - 15*x**2 + 13 + 17 + 25*x + 5*x**4 - 2*x**3 - 19*x + 29*x.
5*(x - 3)*(x - 2)*(x + 1)**2
Let i(m) = -21 + m**2 + 77*m + 21 - 78*m. Let u(x) = 5*x**2 - 5*x. Let f(d) = -6*i(d) + u(d). Let f(c) = 0. What is c?
0, 1
Let x(o) be the first derivative of -o**3/2 + 507*o**2/4 - 501*o - 1504. Suppose x(z) = 0. Calculate z.
2, 167
Let t(h) be the third derivative of -h**5/40 + 23*h**4/16 - 15*h**3 - 2012*h**2. Let t(o) = 0. What is o?
3, 20
Let y(a) be the third derivative of a**8/126 + 2*a**7/9 - 29*a**6/45 - 16*a**5/45 + 28*a**4/9 - 38*a**3/9 - 2326*a**2. Suppose y(f) = 0. What is f?
-19, -1, 1/2, 1
Factor 122*u - 59*u + 5*u**2 + 1015 + 122*u - 5*u.
5*(u + 7)*(u + 29)
Let y be 6/(-16)*-4*4. Factor -10*a + 7*a**3 + 5*a**2 - 5*a**4 - y*a**2 + 6*a**2 + 3*a**3.
-5*a*(a - 2)*(a - 1)*(a + 1)
Let x(b) be the third derivative of b**7/735 - 2*b**6/35 - 9*b**5/70 + 25*b**4/42 - 95*b**2 - b. Determine w, given that x(w) = 0.
-2, 0, 1, 25
Let y(k) be the third derivative of -k**7/168 - k**6/72 + k**5/24 + 5*k**4/24 - 50*k**3/3 - k**2 + 5*k. Let m(q) be the first derivative of y(q). Factor m(a).
-5*(a - 1)*(a + 1)**2
Let q(u) be the third derivative of 0*u - 27*u**2 + 0*u**4 + 1/1176*u**8 - 1/735*u**7 + 0*u**3 - 1/420*u**6 + 1/210*u**5 + 0. Factor q(t).
2*t**2*(t - 1)**2*(t + 1)/7
Let n(o) = -20*o**3 + 440*o**2 - 2740*o + 4180. Let j(z) = -15*z**3 + 439*z**2 - 2741*z + 4181. Let x(y) = 5*j(y) - 4*n(y). Factor x(c).
5*(c - 3)**2*(c + 93)
Let g(p) be the second derivative of -21*p - 3/4*p**2 + 0 - 3/20*p**