/198)/(-2). Solve -7*i**4 + 45*i**3 + i**4 - 2*i**o - 37*i**3 + 6*i**2 + 3*i**5 - 9*i = 0 for i.
-1, 0, 1, 3
Let z(i) be the first derivative of -762/5*i**5 + 65019/4*i**4 - 1778112*i - 635292*i**3 + 267 + 1/2*i**6 + 1809864*i**2. Factor z(w).
3*(w - 84)**3*(w - 1)**2
Suppose 2 = 2*y - 4*a, 3*y - 2*a + 7*a = -19. Let k be (1/y - 0)*-6. Factor -k*f**2 + 2/3*f + 2 - 2/3*f**3.
-2*(f - 1)*(f + 1)*(f + 3)/3
Factor -2/17*g**2 - 276768/17 + 1488/17*g.
-2*(g - 372)**2/17
Let j(u) be the second derivative of -u**6/960 - u**5/320 + u**4/32 - 11*u**3 + 30*u - 2. Let q(h) be the second derivative of j(h). Factor q(x).
-3*(x - 1)*(x + 2)/8
Factor -2/3*w**2 - 889778/3 - 2668/3*w.
-2*(w + 667)**2/3
Let z(h) = 21*h**2 - 17*h + 232. Let w(p) = 20*p**2 - 20*p + 230. Let o(c) = 16*w(c) - 15*z(c). Factor o(t).
5*(t - 8)*(t - 5)
Suppose 3*a + 5 = 5*z, 13 = -2*z + 4*a + 1. Suppose -3*s = -2*b - 36, 4*s = s - 3*b + 36. Factor 87*q**3 - 7*q**2 + 15*q**4 + s*q**4 + 0*q**z + 12*q + 79*q**2.
3*q*(q + 1)*(q + 2)*(9*q + 2)
Let f be (-34 - 3150/(-84))*(-11)/(-14). Determine r so that 1/4*r**3 + 3/2 + r**2 - f*r = 0.
-6, 1
Let g = -1794345 - -1794348. Solve 6 - 27/2*j + 9*j**2 - 3/2*j**g = 0.
1, 4
Let l(g) be the first derivative of 1/70*g**5 + 1/7*g**2 - 1/42*g**4 - 1/21*g**3 + 8*g - 10. Let b(j) be the first derivative of l(j). Factor b(q).
2*(q - 1)**2*(q + 1)/7
Suppose -1900*p + 606 = -1894*p. Let z = -1 + 3. Factor -z*q**2 - p + 101 - 12*q.
-2*q*(q + 6)
Let j(w) be the second derivative of -3*w**5/100 - 19*w**4/10 - 473*w**3/10 - 2904*w**2/5 + w + 216. Factor j(a).
-3*(a + 11)**2*(a + 16)/5
Let a be (3*4/(-495))/(9 - (-517)/(-55)). Let b(t) be the first derivative of 8/11*t + a*t**3 + 3 - 4/11*t**2. Factor b(d).
2*(d - 2)**2/11
Let i = -196 + 210. Let -17*m**3 - i*m + 7*m + 5*m + 19*m**3 = 0. What is m?
-1, 0, 1
Let z(w) = 3*w**3 + 45*w**2 + 57*w - 402. Let v(o) = 4*o**3 + 90*o**2 + 104*o - 805. Let t(r) = -3*v(r) + 5*z(r). Let t(m) = 0. Calculate m.
-3, 3, 15
Let t(b) be the third derivative of b**6/660 + 17*b**5/330 - 3*b**4/11 - 204*b**3/11 - 96*b**2 + 5*b - 2. Find r, given that t(r) = 0.
-17, -6, 6
Let t be ((-2)/(-3))/(-1)*-78*186/3224. Factor 4/7*r**4 + 0*r**2 + 32/7*r**t + 0*r + 0.
4*r**3*(r + 8)/7
Factor 72*b**3 - 103*b**4 - 274*b**3 + 9*b**2 - 179*b**4 - 71*b**3.
-3*b**2*(b + 1)*(94*b - 3)
Let j(b) be the third derivative of b**7/945 + b**6/60 + 4*b**5/135 + 150*b**2. Factor j(x).
2*x**2*(x + 1)*(x + 8)/9
Let a = -2299 + 2303. Let y(p) be the third derivative of 10*p**2 - 1/110*p**5 + 0*p**3 - 1/660*p**6 + 0 - 1/66*p**a + 0*p. Find u such that y(u) = 0.
-2, -1, 0
Let n = 197 + -192. Suppose -a + 40 = n*r, -a + 2*a - 2*r = 5. Factor -9/2 - 3/2*s**4 + a*s + 9*s**3 - 18*s**2.
-3*(s - 3)*(s - 1)**3/2
Suppose -5*s + s - 5*a + 17 = 0, 4*a = -2*s + 10. Solve 92 - 3*q**2 - 152 - 3*q**s + 7*q + 41*q = 0 for q.
-5, 2
Determine v, given that -606*v - 1/3*v**2 + 1819/3 = 0.
-1819, 1
Let n(t) be the third derivative of -1/105*t**5 - 1/1176*t**8 + 0*t**3 + 0 - 3*t**2 + 0*t**4 + 0*t**7 - 30*t + 1/140*t**6. Factor n(y).
-2*y**2*(y - 1)**2*(y + 2)/7
Let n(s) be the first derivative of 1/6*s**3 + 9/8*s**4 - 56 - 1/2*s**2 - 13/10*s**5 + 5/12*s**6 + 0*s. Determine o so that n(o) = 0.
-2/5, 0, 1
Let b(k) = -11*k - 66. Let m be b(-6). Suppose m = -2*s + 2*s - 2*s. Factor 5/2*i + s - 1/2*i**2.
-i*(i - 5)/2
Suppose 0 = -4*s - 726 + 1034. Let z be (-35)/(-20)*55/s. Find q such that 405/4 + z*q**2 - 45/2*q = 0.
9
Let i = -14002 - -14034. Let k(r) be the first derivative of 26 + i*r**2 + 16*r + 28/3*r**3. Suppose k(z) = 0. Calculate z.
-2, -2/7
Let m(r) = 5*r + 73. Let x be m(33). Let o be (-2)/4 + 1343/x. Let -18/7*u**3 - 24/7*u - 3/7*u**4 - o*u**2 + 0 = 0. Calculate u.
-2, 0
Let o = 538 + -542. Let i be 20/66*(-3 + 10 + o). Factor -8/11*h**2 - 2/11*h**4 + 0*h + 0 - i*h**3.
-2*h**2*(h + 1)*(h + 4)/11
Let x(s) be the second derivative of 1/140*s**5 + 2/7*s**2 + 6*s + 11/42*s**3 - 1/210*s**6 + 0 + 3/28*s**4. Let x(f) = 0. What is f?
-1, 4
Let m(a) = 4*a**3 - 38*a**2 + 9*a + 18. Let x be m(11). Factor -x*v**2 + 526*v + 246*v - 756 + 537*v**2 - 2*v**4 + 46*v**3 + 38*v.
-2*(v - 14)*(v - 3)**3
Suppose 5*w - 12 = 3*t, 5*w + 3*t + 2*t = -20. Suppose w = 11*f - 12 - 21. Let -2*i**2 + 201*i**3 + 207*i**f - 413*i**3 = 0. Calculate i.
-2/5, 0
Let 304/5*w**2 - 216/5*w**4 + 48/5*w - 52/5*w**5 + 0 - 84/5*w**3 = 0. What is w?
-3, -2, -2/13, 0, 1
Let d = -6793 + 6799. Let c(z) be the first derivative of 0*z**3 - 2 + 0*z**2 + 0*z**4 + 0*z - 4/15*z**5 + z**d. Determine j so that c(j) = 0.
0, 2/9
Let l = -557 + 559. Suppose 3*g = 3*t + g + 4, g - l = -5*t. Solve 3/5*i**5 + 3/5*i**4 + 0*i**3 + 0*i + t + 0*i**2 = 0 for i.
-1, 0
Let o be 0 + 1 - 1/(9/37). Let h = o - -212/45. What is w in -4/5*w + 4/5*w**3 + h - 12/5*w**2 + 4/5*w**4 = 0?
-2, -1, 1
Let j be 4/5*345/(-6). Let v = -42 - j. Let -3*b + 37*b**3 - 39*b**2 + 34*b**3 - 68*b**3 + 3 + 36*b**v = 0. What is b?
-1, -1/3, 1/4, 1
Let u(c) = -125*c + 1125. Let y be u(9). Let v(l) be the second derivative of -13/5*l**3 + y - 13*l - 1/2*l**4 + 18/5*l**2. Factor v(j).
-6*(j + 3)*(5*j - 2)/5
Let 383*i**2 + 15*i**5 + 52 - 155*i**2 - 5 + 525*i**3 + 133 + 660*i + 647*i**2 + 145*i**4 = 0. What is i?
-3, -2, -1, -2/3
Let a(g) be the first derivative of g**5 - 5*g**4/2 - 65*g**3/3 - 25*g**2 + 2697. Factor a(m).
5*m*(m - 5)*(m + 1)*(m + 2)
Let d(n) be the first derivative of 3*n**4 - 44*n**3/3 - 38*n**2 - 20*n - 1774. Suppose d(j) = 0. What is j?
-1, -1/3, 5
Let a(f) be the second derivative of -152*f + 5/12*f**4 + 0 + 3/4*f**5 + 0*f**2 - 1/6*f**6 - 5/2*f**3. Determine r, given that a(r) = 0.
-1, 0, 1, 3
Let s be -6 - 3/((15/(-40))/1). Factor 2/7*w**s - 6/7 - 4/7*w.
2*(w - 3)*(w + 1)/7
Let t(o) = 14*o + 90. Let d be t(-6). Factor 18 + 28 - 44*z + 4*z**2 - d.
4*(z - 10)*(z - 1)
Factor -540 - 518*n**2 - 1178*n - 536 - 100 + 516*n**2.
-2*(n + 1)*(n + 588)
Let c(a) be the first derivative of 25/32*a**4 - 9/16*a**2 - 100 + 5/8*a**3 + 1/8*a. Let c(t) = 0. What is t?
-1, 1/5
Let g = -1558/295 - -878/59. Factor g - 2/5*v**2 - 46/5*v.
-2*(v - 1)*(v + 24)/5
Let v(x) be the second derivative of 0 - 23*x**2 + 11/120*x**5 + 21*x + 0*x**3 + 1/24*x**4. Let y(b) be the first derivative of v(b). Let y(o) = 0. What is o?
-2/11, 0
Let q be 46344/308 - ((-46)/(-14) - 3). Let l = -148 + q. Find f such that -2/11*f**3 - l + 2/11*f**2 + 16/11*f = 0.
-3, 2
Suppose -68 = -15*o - 1628. Let w be 66/o - (-125)/100. Factor 6/13 - 22/13*a - w*a**2.
-2*(a + 3)*(4*a - 1)/13
Suppose 4*u - 3*o = 8*u + 244, o + 252 = -4*u. Let h = u + 109. Suppose -3 - 5*v - 18 - 2 + 90*v**2 - h*v**3 - 7 - 10*v**4 = 0. Calculate v.
-6, -1/2, 1
Let w(z) = -z**3 - z**2 + 6*z + 12. Let p be w(-3). Factor -2*t**3 + 9*t**2 + t**3 + p*t**2 - 13*t**2.
-t**2*(t - 8)
Determine j, given that 5/4*j**2 - 75/4 - 5/2*j = 0.
-3, 5
Let a = -99 - -102. Factor -5*k**2 + 2*k**3 - k**a - 11*k**2 + 12*k + 3*k**3.
4*k*(k - 3)*(k - 1)
Solve -9443*l + 74131*l + 806*l**2 + 672*l - 140*l**3 - 133128 + 2*l**4 + 68*l**2 = 0.
-18, 2, 43
Let p = 15213 + -136916/9. Let m(o) be the third derivative of -1/450*o**5 + 0 - 20/9*o**3 + 0*o + p*o**4 + 6*o**2. Factor m(j).
-2*(j - 10)**2/15
Let k be (-4)/(-18) - ((-77)/(-63) - 4). Let s = 24 + -19. Suppose -2*p**3 - s*p**2 + 4*p**2 - 4*p**2 - k*p**3 = 0. What is p?
-1, 0
Let d(w) be the first derivative of 4*w**5/15 + 17*w**4/3 + 20*w**3/9 - 1474*w**2/3 - 968*w + 3831. Determine u so that d(u) = 0.
-11, -1, 6
Let l(g) be the second derivative of -g**4/24 - 275*g**3/12 + 2*g - 123. Find q, given that l(q) = 0.
-275, 0
Suppose 9*h + 8*h = -85. Let u(r) = -3*r**2 + 17*r - 6. Let t(i) = 4*i**2 - 19*i + 5. Let y(n) = h*u(n) - 4*t(n). Factor y(o).
-(o - 1)*(o + 10)
Let a(w) be the third derivative of 42 + 0*w - 1/1155*w**7 - 13/660*w**6 + 49/132*w**4 - w**2 - 7/66*w**5 + 0*w**3. Find b, given that a(b) = 0.
-7, 0, 1
Let q = -13534 - -54137/4. Let d(t) be the second derivative of 1/120*t**6 + 3*t - q*t**4 + 0*t**2 + 0 - 1/10*t**5 + 0*t**3 + 1/168*t**7. Factor d(f).
f**2*(f - 3)*(f + 2)**2/4
Let w(y) be the second derivative of 2/3*y**5 - 18*y + 4/3*y**3 + 0 + 3/2*y**4 + 1/10*y**6 - 4*y**2. Let n(t) be the first derivative of w(t). Solve n(x) = 0.
-2, -1, -1/3
What is u in 1800 + 1/2*u**4 - 3540*u + 59*u**3 + 