pose -5*t = i + 46, 3*i + 5*t - 98 = 6*i. Let k = 36 + i. Solve 1/6*g**2 + k + 5/6*g = 0 for g.
-5, 0
Suppose -1091*p = -1100*p. Let v(d) be the third derivative of 0 + 1/20*d**5 - 1/16*d**4 + p*d + 0*d**3 - 1/80*d**6 + 6*d**2. Factor v(x).
-3*x*(x - 1)**2/2
Solve 22 + 74 + u**2 + 112 + 158*u + 45 + 59 = 0 for u.
-156, -2
Let o(h) be the first derivative of -h**7/210 + 2*h**6/45 - 7*h**5/40 + 3*h**4/8 - 26*h**3/3 - 98. Let f(x) be the third derivative of o(x). Factor f(b).
-(b - 1)*(2*b - 3)**2
Suppose 4*s + 34 = 4*i + 38, 4*i - 16 = 0. Suppose s*z = 14*b - 15*b + 3, -2*z + 12 = 4*b. Factor 5/4*k**2 - 1/4*k**4 + 0 + 3/4*k**b + 1/2*k - 1/4*k**5.
-k*(k - 2)*(k + 1)**3/4
Let y(p) be the first derivative of 5*p**3/9 - 4495*p**2/6 + 4490*p/3 + 3705. Solve y(n) = 0.
1, 898
Let l(p) = -5*p**4 + 167*p**3 - 196*p**2 + 40*p + 3. Let n(d) = 14*d**4 - 500*d**3 + 586*d**2 - 120*d - 10. Let m(x) = -10*l(x) - 3*n(x). Factor m(a).
2*a*(a - 20)*(a - 1)*(4*a - 1)
Let u(s) = -51*s - 614. Let g be u(-12). Let v be g/1 - (-96)/36. Factor -v*k**2 - 14/3*k - 20/3.
-2*(k + 2)*(k + 5)/3
Determine q, given that 17322/7*q**3 + 2346*q**2 - 2475*q + 453/7*q**4 + 3/7*q**5 - 16875/7 = 0.
-75, -1, 1
Let g(l) = l**2 - l - 13. Let y(s) = -15*s**2 - 845*s + 130. Let b(x) = 10*g(x) + y(x). Factor b(o).
-5*o*(o + 171)
Let p = -42 + 70. Let c = p - 25. Determine x so that -4*x**4 + 2*x**3 + 4 + x**3 - 6*x**c + 8*x - 5*x**3 = 0.
-1, 1
Let x(v) be the second derivative of 11/18*v**4 + 2/15*v**5 - 1/45*v**6 + 0 + 2/3*v**3 + 129*v + 0*v**2. Factor x(j).
-2*j*(j - 6)*(j + 1)**2/3
Let j = -284 + 286. Factor 21*h**2 - 4*h - 5*h**2 - 12*h**j - 8*h + 8.
4*(h - 2)*(h - 1)
Let i(t) be the first derivative of -t**6/1980 + 28*t**5/165 - 784*t**4/33 - 4*t**3/3 + t**2 - 41. Let w(v) be the third derivative of i(v). Factor w(m).
-2*(m - 56)**2/11
Determine f so that 1/7*f**4 + 78/7 - 79/7*f**2 + 23/7*f - 23/7*f**3 = 0.
-3, -1, 1, 26
Let z(t) be the first derivative of -t**4/14 - 74*t**3/7 + 1369. Factor z(s).
-2*s**2*(s + 111)/7
Let a = -129033/20 - -64629/10. Solve -147/2*u**2 - 6 + 75/4*u**4 - 45*u + a*u**3 = 0 for u.
-2, -2/5, -1/5, 2
Let n(g) be the first derivative of 8/5*g + 2/25*g**5 - 2/5*g**3 + 62 + 4/5*g**2 - 1/5*g**4. Factor n(v).
2*(v - 2)**2*(v + 1)**2/5
Let f(l) be the second derivative of -l**6/90 - 3*l**5/20 - 29*l**4/36 - 13*l**3/6 - 3*l**2 + 2*l - 965. Factor f(x).
-(x + 1)*(x + 2)*(x + 3)**2/3
Let o(z) = z + 1. Let v(c) = -17405*c**2 + 594*c - 1. Suppose -6*k + 1 = -7*k. Let f(j) = k*v(j) + 4*o(j). Factor f(b).
5*(59*b - 1)**2
Suppose -129*z**2 - 127*z**2 - 131*z**2 - 136*z**2 - 165*z + 166 + 522*z**2 = 0. Calculate z.
-166, 1
Let u(m) be the first derivative of 25*m**3/3 + 5*m**2 - 43. Factor u(q).
5*q*(5*q + 2)
Let q be (-7)/(-28)*(-27056)/(-4). Let j = -1689 + q. Factor -j*f**3 - 2/3*f**2 + 0 + 4/3*f.
-2*f*(f + 1)*(3*f - 2)/3
Let g(d) be the first derivative of -d**3/7 - 117*d**2/2 + 1650*d/7 - 1330. Factor g(i).
-3*(i - 2)*(i + 275)/7
Let r(o) be the first derivative of 2/65*o**5 - 1/39*o**6 - 27 - 4/13*o**2 - 10/39*o**3 + 8/13*o + 5/26*o**4. Suppose r(z) = 0. What is z?
-2, -1, 1, 2
Let h be (((-1)/2)/(1/5))/((-9905)/11886). Factor 0 - 4/7*r**h - 16/7*r**2 + 0*r.
-4*r**2*(r + 4)/7
Let w be (-5 - (-51)/9) + (-3)/((-117)/(-24)). Let m(c) be the first derivative of -10/13*c**2 - 5 - 50/13*c - w*c**3. Factor m(g).
-2*(g + 5)**2/13
Let o(v) = 2*v**2 + 134*v + 255. Let t(z) = -z**2 - 67*z - 128. Let d(g) = -4*o(g) - 10*t(g). Factor d(q).
2*(q + 2)*(q + 65)
Let p be 6735/(-4775) - -1 - 2/(-5). Let x = 583/955 + p. Factor 0 + x*k + 1/10*k**2.
k*(k + 6)/10
Let a(f) be the first derivative of -f**6/20 + f**4/8 + 38*f - 35. Let g(t) be the first derivative of a(t). Find v such that g(v) = 0.
-1, 0, 1
Let o(x) = -23*x**2 + 344*x + 1104. Let a(i) = 33*i**2 - 516*i - 1656. Let j(g) = 5*a(g) + 7*o(g). Find c such that j(c) = 0.
-3, 46
Let j be (-1560)/60 - 5560/(-200). Find c, given that 1/5*c**2 + 8/5*c - j = 0.
-9, 1
Let m be (-55 - 39666/(-660))/(18/8). Factor -4/3*z**3 + 0*z**2 + 0*z - m*z**4 + 0 - 4/5*z**5.
-2*z**3*(z + 2)*(6*z + 5)/15
Let p = 39756 - 1431215/36. Let j(o) be the second derivative of 5/18*o**3 + 0 + p*o**4 + 2/3*o**2 + 43*o. Determine c, given that j(c) = 0.
-4, -1
Let z(c) = 90*c**2 + 232*c - 296. Let l(o) = 11*o**2 + 2*o. Let v(n) = 2*l(n) - z(n). Factor v(q).
-4*(q - 1)*(17*q + 74)
Let j be 50/3*(210/25)/7. Suppose j*x - 19*x + 11 = 0. Let n(a) = 16*a**2 - 10*a + 5. Let k(c) = -3*c**2 + 2*c - 1. Let y(d) = x*k(d) - 2*n(d). Solve y(m) = 0.
1
Let n = 979 + -363. Let a = n + -613. Solve 0 + 2/5*o**2 + 2/5*o**5 + 0*o - 2/5*o**4 - 2/5*o**a = 0.
-1, 0, 1
Solve -230*k + 0*k**2 + 78*k**2 - k**4 + 66 + 7*k**3 + 103*k - 23*k**2 = 0.
-6, 1, 11
Let h(y) be the third derivative of y**6/180 - y**5/18 - 4*y**4/3 + 12*y**3 + y**2 + 2*y + 405. Suppose h(s) = 0. Calculate s.
-6, 2, 9
Suppose -4 - 7/3*c - 1/3*c**2 = 0. What is c?
-4, -3
Let g be 4/(-5)*(5 + -25). Solve 33*d**2 + 77*d - 9*d**4 + 42*d**2 + 4*d**4 - 4*d**3 + 13*d - g*d**3 = 0.
-6, -1, 0, 3
Let c = -18 + 59. Let -250*p**3 - c + 92*p**2 + 278*p**3 - 88*p + 9 = 0. Calculate p.
-4, -2/7, 1
Suppose -28*f - 3614 = -15*f. Let k = -832/3 - f. Let -k*r**2 - 32/3 - 16/3*r = 0. What is r?
-4
Let m(z) be the third derivative of z**7/735 + 9*z**6/70 + 18*z**5/7 - 450*z**4/7 - 1063*z**2. Find i, given that m(i) = 0.
-30, 0, 6
Let m be (1/1)/((-69)/(-345)). Let h(v) be the first derivative of 1/8*v**6 + 3/2*v**4 - v**3 - 3/4*v**m + 0*v**2 + 0*v + 6. Factor h(o).
3*o**2*(o - 2)**2*(o - 1)/4
Let l(s) be the second derivative of 6/7*s**3 + 3/20*s**5 + 0 + 1/70*s**6 + 4/7*s**4 + 0*s**2 - 58*s. Factor l(r).
3*r*(r + 2)**2*(r + 3)/7
Let v(l) be the third derivative of -l**6/30 + 13*l**5/15 - 35*l**4/6 - 98*l**3/3 - 1639*l**2. Factor v(r).
-4*(r - 7)**2*(r + 1)
Suppose 3*d = -3*y + 2214, -125*y = -4*d - 127*y + 2952. Let s be 6 - (d/45 - 11). Suppose -6/5*h**2 + 0 - s*h**3 + 0*h = 0. What is h?
-2, 0
Let j = -632518/39579 + 2752/167. Let k = -13/79 + j. Find x such that -k*x**2 - 2*x - 3 = 0.
-3
Let j(g) = 2*g**4 - g + 2. Let a(f) = 19*f**4 + 165*f**3 + 310*f**2 - 7*f + 14. Let b(z) = -a(z) + 7*j(z). Suppose b(y) = 0. What is y?
-31, -2, 0
Factor 2135*t - 4261*t + 3*t**4 + 62*t**3 - 961*t**2 - 4*t**4 + 2126*t.
-t**2*(t - 31)**2
Let j = -878 + 1053. Let f be j/70*(0 + (1 - -1)). Solve 8/17*k**3 + 8/17*k**4 - 4/17 - 10/17*k - 4/17*k**2 + 2/17*k**f = 0.
-2, -1, 1
Let u be 216 - 3 - -6*6/(-36). What is c in -95*c**2 + 73*c**2 - 5*c**3 + u*c**2 - 365*c + 180 = 0?
1, 36
Suppose -903*w + 905*w = 20. Let 5*g + w - 24 + 5*g**2 - 2*g**2 - 2*g**2 = 0. Calculate g.
-7, 2
Determine s, given that -1/4*s**4 + 31/4*s**2 + 21*s - 3/2*s**3 - 72 = 0.
-8, -4, 3
Let q be (21 + 0)*(-4)/(-3). Let d = 33 - q. Let -25 + 9*n - 21*n - 4*n - 14*n - d*n**2 = 0. What is n?
-5, -1
Let f(t) be the first derivative of t**4/20 + 2*t**3 - 63*t**2/10 + 32*t/5 + 290. Suppose f(d) = 0. What is d?
-32, 1
Let p(h) be the first derivative of 5/12*h**4 + 1/4*h**5 - 1/6*h**6 + 3*h - 27 - 5/6*h**3 + 0*h**2. Let u(y) be the first derivative of p(y). Factor u(g).
-5*g*(g - 1)**2*(g + 1)
Suppose 0*m + 12*m = 4*m + 176. Let o(z) be the third derivative of -2/15*z**5 + 0 - 7/6*z**4 + 7/30*z**6 + 4/3*z**3 - m*z**2 + 0*z. Let o(h) = 0. What is h?
-1, 2/7, 1
Let p(a) be the first derivative of -1/24*a**4 + 0*a - 1/6*a**2 + 7/10*a**5 + 15 - 1/4*a**6 - 1/2*a**3. Solve p(y) = 0 for y.
-1/3, 0, 1, 2
Let g(h) be the first derivative of h**4/18 + 22*h**3/3 + 363*h**2 - 17*h - 91. Let r(x) be the first derivative of g(x). Find a such that r(a) = 0.
-33
Suppose 10 = -5*f + 5*g, -3*f + 4*g - 10 = -0*f. Let q = 18/32465 + 324452/357115. Suppose -12/11 + q*v - 2/11*v**f = 0. What is v?
2, 3
Let q(u) be the third derivative of u**8/112 - 3*u**7/5 + 397*u**6/40 + 231*u**5/5 + 121*u**4/2 + 385*u**2 + 4. Find c, given that q(c) = 0.
-1, 0, 22
Let u(l) = -10*l**3 + 2*l**2 - 17*l + 15. Let k be u(1). Let t be 3432/780 - 6/k. Factor -10/7*w**2 + 0 + 4/21*w - 58/21*w**4 + 22/7*w**3 + 6/7*w**t.
2*w*(w - 1)**3*(9*w - 2)/21
Let p = -402 + 347. Let d be (-12)/(-14)*(p/10 - -9). Determine r, given that -10 - 20*r - 25/2*r**2 - 5/2*r**d = 0.
-2, -1
Let q = 5985/17 - 41742/119. Find u such that 20/7*u**2 - q + 1