0. Calculate m.
0, 1
Let m = 312 - 97. Suppose -2*b = -2*c - 442, b + 6*c - m = c. Factor 43 + 45*r**3 - 5*r**4 - 69*r**2 + b*r - 163 - 81*r**2.
-5*(r - 3)*(r - 2)**3
Let m(y) = -5*y - 25. Let b be m(-6). Suppose -b*r - 20 = -30. Factor g + 40*g**r - 2 - g - 38*g**2.
2*(g - 1)*(g + 1)
Let c(m) be the first derivative of -13068/7*m + 201 + 6336/7*m**2 + 131/7*m**3 + 3/28*m**4. Factor c(o).
3*(o - 1)*(o + 66)**2/7
Let h(n) be the third derivative of n**7/21 + 313*n**6/15 + 1079*n**5/6 - 1048*n**4/3 - 820*n**3 + 23*n**2 - 31*n - 2. Suppose h(q) = 0. Calculate q.
-246, -5, -2/5, 1
Let c be 21 - (-4)/(-160)*830. Factor 0 - 15/4*r**2 + c*r**3 - 4*r.
r*(r - 16)*(r + 1)/4
Let l = 17/121 - -365/847. Let y = 91 + -91. Factor -l*j - 2/7*j**3 + 6/7*j**2 + y.
-2*j*(j - 2)*(j - 1)/7
Let h(f) be the third derivative of f**7/7 - 89*f**6/60 + 569*f**5/90 - 505*f**4/36 + 50*f**3/3 - 2*f**2 + 487. Solve h(r) = 0 for r.
3/5, 5/3, 2
Let o = 22 + -18. Suppose -7*q + 2*q = -2*d - 9, d = o*q - 9. Factor -2*k**q - 3*k**3 - 4*k**4 - 7*k**3.
-4*k**3*(k + 3)
Factor -10948*f + 664 + 339*f**2 + 386*f**2 - 857*f**2.
-4*(f + 83)*(33*f - 2)
Let b(r) be the third derivative of -r**7/10 + 29*r**6/20 - 114*r**5/35 + 53*r**4/28 - r**3/2 + 1362*r**2. Suppose b(c) = 0. Calculate c.
1/7, 1, 7
Let p = 953 + -843. Determine i, given that -7*i**2 - 6*i**2 + 4*i**2 + 4*i**2 - 105 + p*i = 0.
1, 21
Let f(d) be the first derivative of d**5 - 15/4*d**4 - 25/3*d**3 + 38 + 15/2*d**2 + 20*d. Determine a so that f(a) = 0.
-1, 1, 4
Let i be 3/7*(225 + -224). Factor 0 + i*v**2 + 12/7*v.
3*v*(v + 4)/7
Suppose -24*o + 83 = 11. Let f(r) = -5*r**4 - 6*r**3 - 2*r**2 + 4. Let i(l) = 7*l**4 + 8*l**3 + 2*l**2 - 5. Let x(v) = o*i(v) + 4*f(v). What is t in x(t) = 0?
-1, 1
Let m(u) be the second derivative of -u**7/84 - 7*u**6/60 + 9*u**5/20 - u**4/12 - 17*u**3/12 + 9*u**2/4 - u - 887. Solve m(q) = 0 for q.
-9, -1, 1
Let x be ((-2)/8)/(21/(-5124)). Find k such that -6 - 52*k + 46 - 57*k - 2*k**3 + x*k + 18*k**2 = 0.
2, 5
Let u(k) be the first derivative of -k**3/6 + 3*k**2/2 + 8*k + 412. Suppose u(t) = 0. Calculate t.
-2, 8
Let c(m) be the first derivative of -m**7/168 - 5*m**6/24 - 9*m**5/8 - 65*m**4/24 + 20*m**3 - 2*m - 7. Let i(y) be the third derivative of c(y). Factor i(u).
-5*(u + 1)**2*(u + 13)
Let i(z) = 2*z**2 + 85*z + 892. Let s be i(-24). Let r(x) be the second derivative of 0 + 2*x**3 + 6*x + 1/4*x**s + 6*x**2. Factor r(w).
3*(w + 2)**2
Suppose 113*w - 3583 = -3131. Factor 2*m**3 + 2/3*m**2 - 2/3*m**w - 2*m + 0.
-2*m*(m - 3)*(m - 1)*(m + 1)/3
Let l(o) be the first derivative of o**4/6 + 232*o**3/9 + 451*o**2/3 + 224*o + 901. Let l(y) = 0. Calculate y.
-112, -3, -1
Let h(f) = f**3 + f**2 + 1792*f - 3593. Let u be h(2). Factor -20*m - 1/3*m**u - 14/3*m**2 - 24.
-(m + 2)*(m + 6)**2/3
Let l be (1*(-12)/18)/((-1)/2). Let b = 23123 + -69368/3. Find v such that -l + b*v**4 - 4/3*v**3 + v**2 + 4/3*v = 0.
-1, 1, 2
Let f = 1463673/11 + -133061. Find h, given that 2/11*h**2 + 4/11*h - f*h**3 + 0 = 0.
-1, 0, 2
Let x(a) be the first derivative of 2*a**3/15 + 462*a**2/5 - 926*a/5 - 966. Find i such that x(i) = 0.
-463, 1
Let v(q) = q**3 + 27*q**2 - q - 33. Let f be v(-27). Let i be 9 - (9 - (f - -9)). Factor -8/13 - 10/13*t**2 + 2/13*t**i + 16/13*t.
2*(t - 2)**2*(t - 1)/13
Let q(k) = 30*k**5 - 351*k**4 + 801*k**3 - 453*k**2 - 27. Let o(x) = x**5 + x**4 + 2*x**3 - 3*x**2 - 1. Let t(j) = -27*o(j) + q(j). Find r such that t(r) = 0.
0, 1, 124
Suppose -2*v + 244 + 98 = 0. Determine t, given that -3*t**2 - 12*t + v*t**3 - 167*t**3 - 5*t**2 = 0.
-1, 0, 3
Let v be 8/(16675/37352*21/10). Determine g, given that -2048/15 + v*g - 2/15*g**2 = 0.
32
Let 87/8*l**2 - 87/8*l**4 - 81/8*l**3 - 3/8*l**5 + 0 + 21/2*l = 0. What is l?
-28, -1, 0, 1
Let u be -2 - (-5 + 4 - (-8)/(-5)). Suppose -3/5 + u*g**2 + 0*g = 0. What is g?
-1, 1
Let b(f) be the second derivative of -f**7/21 + 3*f**6/35 + f**5/14 - 3*f**4/14 + 2*f**3/21 - 238*f. Determine h, given that b(h) = 0.
-1, 0, 2/7, 1
What is s in -338/15*s**2 - 7442/15 + 3172/15*s = 0?
61/13
Let x(p) be the third derivative of -p**6/360 + 11*p**5/180 + 7*p**4/36 - 4*p**3/3 + 3*p**2 + 1361*p - 1. What is z in x(z) = 0?
-2, 1, 12
Suppose -5*g + 8*u - 5*u = -1055, 5*u = -g + 183. Factor -144*a**2 - 48*a**2 + 676 + 16*a**3 + 260*a + g*a.
4*(a + 1)*(2*a - 13)**2
Let w(h) be the third derivative of 26/15*h**6 + 650/3*h**4 + 0 + 2/105*h**7 + 242/5*h**5 + 1250/3*h**3 + 165*h**2 + 0*h. Factor w(a).
4*(a + 1)**2*(a + 25)**2
Let l(o) = -96*o**4 - 5985*o**3 - 5928*o**2 + 39*o. Let c(p) = -5*p**4 - 315*p**3 - 312*p**2 + 2*p. Let q(y) = -39*c(y) + 2*l(y). Factor q(r).
3*r**2*(r + 1)*(r + 104)
Let d(a) be the second derivative of a**6/42 - 43*a**5/140 - 289*a**4/42 - 16*a**3/3 - 1937*a. Factor d(h).
h*(h - 16)*(h + 7)*(5*h + 2)/7
Let l(g) be the first derivative of 2*g**3/21 - 2*g**2/7 - 18*g + 480. Determine s, given that l(s) = 0.
-7, 9
Determine r, given that -15200/9*r**2 + 4/9*r**5 - 10816/9 + 3776/9*r**3 - 76/3*r**4 + 2496*r = 0.
1, 2, 26
Suppose -630*y**2 + 1890*y**2 - 629*y**2 - 132*y - 628*y**2 = 0. What is y?
0, 44
Factor -508*t**3 + 557*t**3 + 525*t**4 + 75*t**2 - 4 - 515*t**4 + 32*t.
(t + 1)*(t + 2)**2*(10*t - 1)
Let x be 0 - (1 + -7 + 2). Find s, given that -65*s + 5*s**4 - 13*s**x + 30*s**3 - 32*s**4 + 10*s**3 + 25 + 25*s**3 + 15*s**2 = 0.
-1, 5/8, 1
Suppose 179*w + 118499 = 250*w. Let f = 1717 - w. What is r in -51/4*r**2 - f + 3/4*r**3 + 60*r = 0?
1, 8
Let l(v) be the third derivative of v**5/10 - 755*v**4/108 - 28*v**3/27 - 3759*v**2. Suppose l(x) = 0. What is x?
-1/27, 28
Determine j so that 0 - 644/9*j**2 + 4/9*j**3 - 72*j = 0.
-1, 0, 162
Let g = -1527 - -1543. Let q be 510/336 - 6/g. Factor z**3 + 1/7*z**4 + 2*z**2 + q*z + 0.
z*(z + 1)*(z + 2)*(z + 4)/7
Let u = 1311 + -1333. Let n be (u - -14 - -7)/(2/(-4)). Find l, given that -25*l**4 - 9 + 57*l + 95*l**3 - 481/4*l**n = 0.
2/5, 3/2
Let z(y) = -12*y**2 + 47*y + 9. Let q be z(4). Suppose -s + 19 = 2*l, 0 + q = -5*l. What is w in -3/7*w**2 - s - 6*w = 0?
-7
Find n such that 51/2*n + 49 + 1/2*n**2 = 0.
-49, -2
Let o(g) = 16*g**2 + g + 1. Let m(p) = 36*p**2 + 238*p - 486. Let i(u) = -m(u) + 2*o(u). Factor i(w).
-4*(w - 2)*(w + 61)
Let l(b) be the third derivative of -b**7/1260 + b**6/45 - 53*b**5/360 + 31*b**4/72 - 2*b**3/3 - b**2 - 892. Find z such that l(z) = 0.
1, 2, 12
Let f(q) be the second derivative of -q**4/54 + 31*q**3/27 - 58*q**2/9 + 3930*q. Find g such that f(g) = 0.
2, 29
Let h(n) be the first derivative of n**6/285 + 11*n**5/190 + 4*n**4/19 - 12*n**3/19 + 195*n + 256. Let i(s) be the first derivative of h(s). Factor i(v).
2*v*(v - 1)*(v + 6)**2/19
Determine f, given that -1044/7*f**3 + 0 + 748/7*f**2 - 16*f**4 - 120/7*f = 0.
-10, 0, 1/4, 3/7
Let b = -278 - -281. Factor -28*z**b + 5*z**2 + 6*z**2 + 0*z**2 - 3*z**2 + 0*z**2 - 16*z**4.
-4*z**2*(z + 2)*(4*z - 1)
Let p(y) = 5*y - 70. Let x be p(22). Let w be ((-5)/(-3))/(x/144). What is o in 28*o - 11*o**2 + 20 - 23*o + w*o**2 - 15*o**2 - 5*o**3 = 0?
-4, -1, 1
Suppose 27 + 363 = 78*o. Suppose 0 = 5*q + b - o, -26*q + 5*b + 33 = -22*q. Factor -32/5 + 2*s**q - 76/5*s.
2*(s - 8)*(5*s + 2)/5
Suppose 7*d = 5*d - p + 271, -15 = 5*p. Suppose d - 117 = 4*s. Let 0 - 21/2*o**3 + o**4 + 7/2*o**s - 10*o**2 - 2*o = 0. What is o?
-1, -2/7, 0, 2
Let q(c) be the first derivative of -2*c**5/45 + 13*c**4/6 - 262*c**3/9 + 133*c**2/9 + 1444*c/3 - 1279. Find k such that q(k) = 0.
-2, 3, 19
Let o(d) be the first derivative of d**9/13608 + d**8/1260 - d**7/252 + 2*d**6/405 - 21*d**3 - d + 93. Let h(p) be the third derivative of o(p). Factor h(k).
2*k**2*(k - 1)**2*(k + 8)/9
Let r(l) be the third derivative of -l**7/105 - 31*l**6/60 - 61*l**5/10 + 1003*l**4/12 + 1156*l**3/3 + 408*l**2. What is y in r(y) = 0?
-17, -1, 4
Suppose 67*d = 72*d + 6*n + 20, -5*d = -4*n - 30. Let l(q) be the first derivative of 10/3*q**3 + q**5 + 0*q**d + 0*q - 15/4*q**4 - 37. Factor l(t).
5*t**2*(t - 2)*(t - 1)
Let b(m) = 15*m + 15. Let p be b(-5). Let k be 4/(-16) - 25/p. Find c such that -1/2*c**4 + 1/2*c**2 + 0*c - k*c**3 + 1/6*c**5 + 0 = 0.
-1, 0, 1, 3
Let a be 4/(-5)*520/(-13). Suppose 0 = 5*f + 3*r - 22, -5*r + a = -3*f + 18. Factor 1/2*y**f + 0*y**3 - 1/4 - 1/4*y**4 + 0*y.
-(y - 1)**2*(y + 1)**2/4
Find z, given