*2 + 18 + 3/20*g**4 + 1/25*g**5. Solve j(u) = 0 for u.
-5, 0, 1
Let f(r) = -6*r + 180. Let b be f(29). Let m be (-208)/84 + b/9 - -2. Solve m*j + 2/21*j**2 - 2/7 = 0.
-3, 1
Let f(j) = 2*j**2 + j + 1. Let g(m) = -35*m**2 - 29*m - 37. Let i(w) = 68*f(w) + 4*g(w). Factor i(z).
-4*(z + 2)*(z + 10)
Let h(z) be the third derivative of 0*z + 0 - z**3 - 44*z**2 + 1/8*z**4 - 1/160*z**5. Solve h(r) = 0.
4
Suppose 3*y = 6*y - 114. Suppose -58 = -4*p + y. Let -5*w**5 + p*w**3 + 9*w**5 - 16*w**2 + 4*w - 16*w**4 + 0*w = 0. Calculate w.
0, 1
Let v be 0*(91/14 - 7). Let z(g) be the second derivative of v*g**2 + 18*g + 1/3*g**4 + 0 - 2/3*g**3. Solve z(p) = 0 for p.
0, 1
Let p(v) = -29*v**3 + 1685*v**2 + 1663*v + 411. Let o(j) = -10*j**3 + 842*j**2 + 832*j + 206. Let s(g) = 5*o(g) - 2*p(g). Factor s(k).
2*(k + 104)*(2*k + 1)**2
Let a = 450 + -448. Find c such that -32*c + 10*c + 67*c**a - 68*c**2 = 0.
-22, 0
Let x = 557/2335 - 18/467. Let -3/5*q**3 + x*q**4 - 3/5*q**2 - 6/5 + 11/5*q = 0. Calculate q.
-2, 1, 3
Let n(r) be the first derivative of 2*r**3/27 + 1021*r**2/9 + 4076*r/9 + 5409. Suppose n(b) = 0. Calculate b.
-1019, -2
Let d = -28715 + 28715. Let b(j) be the second derivative of 3/2*j**3 - 13 + d*j**2 - 1/4*j**4 + j. Factor b(t).
-3*t*(t - 3)
Suppose 0 = -54*p + 61*p - 294. Determine a so that 118 + 3*a**2 - 119 - 95 - p*a = 0.
-2, 16
Let f(o) be the first derivative of -1/2*o**6 - 18*o**3 + 0*o**2 - 87/4*o**4 - 36/5*o**5 + 0*o + 136. What is b in f(b) = 0?
-9, -2, -1, 0
Suppose -96 = 8*f, -4*q - f - 44 = f + 3*f. Determine p, given that 0 - 2/3*p**5 - 8/3*p**q - 4/3*p**3 + 8/3*p**2 + 2*p = 0.
-3, -1, 0, 1
Let j = 702011/7 + -100287. Suppose 5*d + 3 = -4*z, -6 - 12 = -4*z + 2*d. Factor 0 - 1/7*u**z + j*u**2 - 1/7*u.
-u*(u - 1)**2/7
Let d be (-1771)/(-2898) - 5/45. Factor -3/2 - 11*m**2 + 9*m**3 + d*m**5 - 7/2*m**4 + 13/2*m.
(m - 3)*(m - 1)**4/2
Let t = 10167 - 152497/15. Determine a so that 2/5*a**5 - t*a**2 - 2/15*a**4 + 0 - 16/15*a**3 + 0*a = 0.
-1, -2/3, 0, 2
Find u, given that 84/5*u - 30*u**2 + 72/5 - 9*u**3 + 6/5*u**5 + 33/5*u**4 = 0.
-6, -2, -1/2, 1, 2
Let k = -7619 + 7619. Let u(a) be the first derivative of k*a - 1/12*a**3 - 24 + 1/4*a**2. What is g in u(g) = 0?
0, 2
Let x(z) be the first derivative of z**4 + 2702*z**3 + 2054364*z**2 + 2052338*z + 2000. Let x(i) = 0. Calculate i.
-1013, -1/2
Let h(i) be the second derivative of -i**4/42 + 718*i**3/21 + 132*i - 3. Let h(o) = 0. What is o?
0, 718
Let r(v) = -v**2 + 16*v - 128. Let s = -49 + 73. Let l(h) = -h + 2. Let f(n) = s*l(n) - 3*r(n). Suppose f(u) = 0. What is u?
12
Let c = -4 - 0. Let f = c - -8. Determine v, given that -30*v**2 + 11*v**f + 13*v**2 - v**4 - 20*v - 5*v**5 - 3*v**2 + 15*v**3 = 0.
-1, 0, 2
Suppose q - 2*d - 24 = 0, -3*d = 2*q - 21 - 41. Let g be 3/2 - (q/8)/(-7). Factor -5/7*m - 4/7*m**g - 1/7*m**3 - 2/7.
-(m + 1)**2*(m + 2)/7
Let u(z) be the third derivative of -z**7/945 - 29*z**6/540 - 5*z**5/9 - 71*z**4/27 - 184*z**3/27 - 5*z**2 + 51*z. Factor u(k).
-2*(k + 2)**3*(k + 23)/9
Suppose -26*q + 63 = -31 - 10. Let f(k) be the first derivative of 2/5*k**2 - 1/10*k**q + 13 + 2/15*k**3 + 0*k. Factor f(n).
-2*n*(n - 2)*(n + 1)/5
Let v(m) be the first derivative of -m**6/90 + m**5/10 - m**4/3 - 7*m**3/3 - 2*m + 79. Let g(t) be the third derivative of v(t). Factor g(n).
-4*(n - 2)*(n - 1)
Let j(z) = -z**3 - 2*z**2 + 545*z - 1299. Let h be j(21). Factor 2/15*o**5 - 2/3*o - 8/5*o**h + 4/15*o**4 + 0 + 28/15*o**2.
2*o*(o - 1)**3*(o + 5)/15
Let k be -65*14/(-588) - 3/2. Let q(l) be the second derivative of -16*l + k*l**4 + 1/70*l**5 + 0 + 1/21*l**3 + 0*l**2. Find i such that q(i) = 0.
-1, 0
Let i(l) be the third derivative of -2/5*l**5 + 1/10*l**6 + 0*l**3 + 0*l + 0 + 2/105*l**7 - 4/3*l**4 + 210*l**2. Factor i(k).
4*k*(k - 2)*(k + 1)*(k + 4)
Let p(g) be the second derivative of -g**6/60 + 39*g**5/20 - 1801*g**4/24 + 910*g**3 - 4900*g**2 - 3*g + 190. Factor p(f).
-(f - 35)**2*(f - 4)**2/2
Let q(j) be the third derivative of -j**7/5670 + j**6/405 - 35*j**4/24 + 180*j**2 + 1. Let t(s) be the second derivative of q(s). Factor t(k).
-4*k*(k - 4)/9
Let o be ((-105)/10220)/(1/(-1) + 2). Let s = o - -18715/2628. Let -s*q + 256/9 + 4/9*q**2 = 0. What is q?
8
Let w = 55013 + -55009. Find n, given that 2/5*n**w + 12/5*n + 14/5 - 16/5*n**2 - 12/5*n**3 = 0.
-1, 1, 7
Suppose 5*q - 1 = -3*k, -4*k + 66 = 78. What is u in 0 - 4/5*u + 14/5*u**q + 8/5*u**3 = 0?
-2, 0, 1/4
Let -1048*j**2 + 17*j + 3*j + 525*j**2 + 521*j**2 + 238 = 0. Calculate j.
-7, 17
Let l = -883 + 883. Suppose l = -2*u + 20*g - 21*g + 9, 2*u + 5*g = 21. Factor -4/3*r**4 - 4/3*r**2 + 8/3*r**u + 0*r + 0.
-4*r**2*(r - 1)**2/3
Let 3*x**5 + 25 - 5202*x**2 - 120*x**4 + 1729*x**3 - 250*x**3 - 9 - 16 = 0. What is x?
0, 6, 17
Let w(k) be the third derivative of -k**6/20 + 711*k**5/40 - 265*k**4/8 - 177*k**3/4 - 5*k**2 + k + 32. Suppose w(d) = 0. What is d?
-1/4, 1, 177
Let m(l) = -l**3 + 53*l**2 + 3568*l + 1909. Let t be m(92). Find y, given that t + 3*y**2 - 279/2*y = 0.
1/2, 46
Let x(f) be the third derivative of -5*f**8/48 + 923*f**7/70 - 4181*f**6/60 + 1481*f**5/15 + 13*f**4 - 304*f**3/3 - f**2 - 1925*f. Let x(s) = 0. Calculate s.
-2/7, 2/5, 1, 2, 76
Determine z, given that -414/13*z**3 - 134/13*z + 28/13*z**5 + 12/13 - 86/13*z**4 - 446/13*z**2 = 0.
-1, 1/14, 6
Let l = 50 + -22. Suppose -30 = -n - l. Let -114 + 112 + p**n + p**2 = 0. Calculate p.
-1, 1
Let q be (-57)/9 - 14200/(-1704). Solve -1/4*n - 1/8*n**q - 1/8 = 0.
-1
Let z be 10/(-90)*0 - -2*3. Factor -194*g**4 - 10*g**3 + 45*g**2 + 102*g**4 - z*g**3 - 98*g + 32*g**2 + 93*g**4.
g*(g - 7)**2*(g - 2)
Let q(a) = 2*a**2 - 1535*a + 762. Let c(h) = -3*h**2 + 3072*h - 1524. Let b(d) = 4*c(d) + 9*q(d). Determine v, given that b(v) = 0.
1/2, 254
Let w(t) be the second derivative of -7*t**4/2 + 19*t**3/3 + 2*t**2 - 970*t. Factor w(s).
-2*(s - 1)*(21*s + 2)
Let t(y) = y**3 - 6*y**2 - 8*y + 12. Let a be t(7). Suppose 5*l + 5 = -v, l + 131*v = 132*v + a. Let -2/17*s**4 + l*s + 0*s**2 + 0*s**3 + 0 = 0. What is s?
0
Let s(m) be the first derivative of -2*m**5 - 115*m**4/8 - 95*m**3/3 - 65*m**2/4 + 15*m + 2021. Let s(u) = 0. Calculate u.
-3, -2, -1, 1/4
Solve -1/5*f**5 - 4/5*f**4 + 22/5*f**2 - 24/5*f + 7/5*f**3 + 0 = 0 for f.
-4, -3, 0, 1, 2
Let q(k) = -k**2 + 23*k - 74. Let y be q(19). Let f be -2*y - (-189)/42. Solve -1/2*m + f*m**3 - m**2 + 1 = 0 for m.
-1, 1, 2
Let j(f) be the third derivative of f**6/240 - 2*f**5/15 + 55*f**4/48 + 6*f**3 + 8*f**2 + 4. Let j(d) = 0. What is d?
-1, 8, 9
What is g in -2/3*g**3 + 7/12*g**2 + 3*g + 1/12*g**4 - 3 = 0?
-2, 1, 3, 6
Let y = -181 + 171. Let l be (36/y - (-16)/(-40)) + 7. Factor 0 + 12/5*x**2 + 8/5*x + 4/5*x**l.
4*x*(x + 1)*(x + 2)/5
Suppose 4*h = 4*c - 168, c - 224 = -4*c - 2*h. Let g = c - 20. Factor -6*a**4 + 1 + 3*a**5 - 2 - 21*a + 7 - 7*a**3 + a**3 + g*a**2.
3*(a - 1)**4*(a + 2)
Solve 165*h + h**4 - 103*h - 21 + 14*h**3 + 4*h**3 + 6*h**2 - 66*h**2 = 0 for h.
-21, 1
Let h be ((-125)/(-10) - 4)*-2. Let v = 25 + h. Factor 7*q**2 + v*q - 8*q**2 + 0*q**2 + 8 + 3*q**2.
2*(q + 2)**2
Let o(f) be the second derivative of f**5/230 - 5*f**4/138 - 32*f**3/69 - 36*f**2/23 - 1507*f + 1. Factor o(t).
2*(t - 9)*(t + 2)**2/23
Let z be (22 + -5)*(1 + -84). Let m = z - -1413. Suppose 3/4*u**m - 1/4*u**4 - 1/4*u**3 - 1/2 + 1/4*u = 0. Calculate u.
-2, -1, 1
Suppose z + 6 - 1 = -5*m, 2*z + m + 10 = 0. Let w(t) = t**2 + t - 1. Let j(l) = -2 - 24*l**2 - 13 + 50*l - 6*l**2. Let u(c) = z*w(c) + j(c). Factor u(y).
-5*(y - 1)*(7*y - 2)
Let k be 27/(-18)*(57 - 59). Factor 9/4*x + 0 - 3/4*x**4 - 9/4*x**k + 3/4*x**2.
-3*x*(x - 1)*(x + 1)*(x + 3)/4
Let p(c) be the third derivative of 2*c**7/315 - 43*c**6/90 + 38*c**5/45 + 86*c**4/9 - 112*c**3/3 - 2174*c**2. Let p(q) = 0. Calculate q.
-2, 1, 2, 42
Suppose -2/5*y**2 + 2/5*y**3 - 6/5 - 2*y = 0. Calculate y.
-1, 3
Factor 308 - 95 + 42*a + 20*a**2 - 35*a**3 - 84 - 99 + 43*a.
-5*(a - 2)*(a + 1)*(7*a + 3)
Let d(m) = -m**4 - 12*m**3 + 34*m**2 + 60*m - 66. Let b(k) = -8*k**4 - 84*k**3 + 236*k**2 + 420*k - 464. Let p(t) = 3*b(t) - 20*d(t). Let p(c) = 0. What is c?
-3, 1, 2
Suppose 0 = 5*o - 2 - 8. Suppose o*t = -4*t + 12. Let 93*g**2 - 1674*g**t - 740*g - 80 - 219*g**2 - 405*g**3 = 0. Calculate g.
-4, -2/9
Factor -6860289492/5*q - 4788/5*q**