4*u + 2*x = -6, 0 = -4*u + 3*x + 99 - 94. Find t, given that 13/2*t - 5/2*t**u - 7/2 - 1/2*t**3 = 0.
-7, 1
Let n be (-3)/2*-2 - (1 - 2). Suppose -n*j + 18 = 2*k - 0*k, -3*j = -3*k. Factor 16*u - 14*u**j + 4*u**3 - 7*u**2 - 16 + 19*u**2 + 4*u**4 - 6*u**3.
4*(u - 2)**2*(u - 1)*(u + 1)
Let o(x) be the third derivative of x**5/90 - 121*x**4/36 + 41*x**2 - 4. Factor o(d).
2*d*(d - 121)/3
Determine i so that 10/3*i**2 - 2/3*i**3 + 2/3*i - 10/3 = 0.
-1, 1, 5
Let s = -13228 - -13228. Let y(t) be the second derivative of 0*t**2 + s + 5/12*t**4 + 5/6*t**3 - 36*t. Solve y(g) = 0 for g.
-1, 0
Let a(t) = 7*t + 3464*t**2 + 10 - 3463*t**2 - 5. Let x be a(-7). Factor -4/5*r**3 + 0 + 2/5*r**x + 0*r**2 + 0*r**4 + 2/5*r.
2*r*(r - 1)**2*(r + 1)**2/5
Suppose 57*q + 505 = -8. Let b be 8 + q - (-7 + -1) - 5. Find r such that 2/5*r**b + 14/5*r + 0 = 0.
-7, 0
Let k be (-1)/1 - 6324/(-6120). Let p(t) be the second derivative of k*t**5 + 1/126*t**7 - 1/6*t**2 - 1/6*t**3 + 1/30*t**6 + 0 + 7*t - 1/18*t**4. Factor p(u).
(u - 1)*(u + 1)**4/3
Let d be 3/(-31)*(-4)/(-258). Let m = 21318/6665 - d. What is w in -24/5 - 2/5*w**4 - m*w**3 - 46/5*w**2 - 56/5*w = 0?
-3, -2, -1
Let -4/3*z**2 + 0*z - 16/3*z**3 + 0 - 4*z**4 = 0. Calculate z.
-1, -1/3, 0
Let m(g) be the first derivative of 2*g**5 + 6 + 13*g**4 + 4*g**2 + 0*g + 50/3*g**3. Let m(f) = 0. Calculate f.
-4, -1, -1/5, 0
Let r be 17 - (-27 + (-123)/(-3)). Determine z so that 2/23*z + 0*z**2 - 2/23*z**r + 0 = 0.
-1, 0, 1
Let o(y) be the second derivative of y**4/54 - 5012*y**3/27 + 6280036*y**2/9 + 635*y + 1. Suppose o(a) = 0. Calculate a.
2506
Let m(j) be the second derivative of 0*j**2 + 0*j**5 + 5/42*j**7 + 0*j**3 + 0*j**4 - 1/6*j**6 + 1 + 10*j. Factor m(u).
5*u**4*(u - 1)
Let n = -99385631212 - -2177837335863554/21913. Let z = -44/1289 - n. Determine s so that 42/17*s - 294/17*s**2 + z*s**3 - 2/17 = 0.
1/7
Let r(k) be the first derivative of k**3/7 + 135*k**2/14 - 138*k/7 + 873. Find s, given that r(s) = 0.
-46, 1
Let z be 18 - ((-1250)/(-78) + (-1428)/(-4641)). Find x such that 1/3*x**5 + 8/3*x**3 - z*x**4 - 4/3*x**2 + 0*x + 0 = 0.
0, 1, 2
Let u(d) = d**4 - 22*d**3 - 2*d**2 - 1. Let i(o) = 30*o**4 - 710*o**3 - 65*o**2 - 60*o - 35. Let f(c) = -i(c) + 35*u(c). Factor f(l).
5*l*(l - 12)*(l - 1)*(l + 1)
Let g be (-3 - 723/15)*48/(-216)*9. Let -64/5*c - 2/5*c**2 - g = 0. Calculate c.
-16
Let y(r) be the second derivative of r**7/630 - r**6/30 + r**5/6 + 71*r**4/12 + 3*r - 21. Let u(k) be the third derivative of y(k). Solve u(v) = 0 for v.
1, 5
Let k(s) = 11*s**2 - 661*s - 147. Let i(y) = -32*y**2 + 1983*y + 475. Let g(u) = 6*i(u) + 16*k(u). Factor g(h).
-2*(h - 83)*(8*h + 3)
Let c(k) = -k + 3. Let s(w) = 15*w**2 - 15*w - 33. Let v(r) = -22*c(r) - 2*s(r). Find u, given that v(u) = 0.
0, 26/15
Let y = 59/1248 - 5/312. Let t(u) be the third derivative of 14*u**2 + 0*u**3 + y*u**4 + 0*u + 0 - 1/80*u**5. Factor t(o).
-3*o*(o - 1)/4
Let o be -6 - ((-16)/56*-14 - 34). Let x(s) be the first derivative of -21 + o*s**2 + 3/4*s**4 - 8*s**3 + 0*s. Let x(d) = 0. Calculate d.
0, 4
Let c(u) be the third derivative of -u**7/420 + 331*u**6/60 - 73261*u**5/20 + 218791*u**4/12 - 436921*u**3/12 - 3*u**2 - 260*u. Find f such that c(f) = 0.
1, 661
Let u(b) be the first derivative of -2*b**6/9 - 4*b**5/15 + 3*b**4 - 44*b**3/9 + 8*b**2/3 - 264. Factor u(o).
-4*o*(o - 1)**3*(o + 4)/3
Let 144/5*c - 1/5*c**3 + 36 + 5*c**2 = 0. Calculate c.
-3, -2, 30
Let c(z) be the second derivative of 62*z**4/5 - z**3/15 + 1936*z. Determine q so that c(q) = 0.
0, 1/372
Let s(x) = -15*x**3 - 3*x**2 - 5*x + 1. Let w be s(-3). Suppose 12 = w*z - 390*z. Factor 4*h**2 + 0 - 4/3*h**z + 0*h.
-4*h**2*(h - 3)/3
Let v be ((-112)/(-672))/((-3)/(-36)). Factor 2/5*d**v + 0 - 2/5*d.
2*d*(d - 1)/5
Let q(z) = -z**3 - 2*z**2 - z. Let p(i) = -i**2 + 7*i - 22. Let b be p(5). Let w(n) = -12*n**4 - 16*n**3 + 4*n**2 + 8*n. Let m(k) = b*q(k) - w(k). Factor m(f).
4*f*(f + 1)**2*(3*f + 1)
Let b(a) be the second derivative of 3*a**4 - 16/15*a**6 - 8/3*a**3 + 6*a**5 + 0*a**2 - 1 + 3*a. Solve b(k) = 0 for k.
-1/2, 0, 1/4, 4
Let t(d) = -3*d**2 - 40*d + 77. Let a be t(-15). Factor 0*k**a - 3*k**3 - 3/2*k**4 + 3*k + 3/2.
-3*(k - 1)*(k + 1)**3/2
Let t = -213 - -285. Let b be -6*6/t*-4. Factor -2/5 + 8/5*q**3 - 12/5*q**b + 8/5*q - 2/5*q**4.
-2*(q - 1)**4/5
Factor 1316488/3*f + 11612/3*f**3 + 1272112/3 + 131/3*f**4 + 1/6*f**5 + 362920/3*f**2.
(f + 2)**2*(f + 86)**3/6
Let m(u) be the third derivative of -3/16*u**4 + 0 + 1/120*u**5 + 0*u + 2/3*u**3 + 69*u**2. Determine r so that m(r) = 0.
1, 8
Find o such that 1/8*o**2 - 229/4 + 227/8*o = 0.
-229, 2
Let i be -1*(9/(-12)*-12 + (0 - 9)). Let a(l) be the third derivative of 0 + i*l + 42*l**2 + 1/60*l**5 - 3/4*l**4 + 27/2*l**3. Solve a(n) = 0.
9
Let y(d) be the third derivative of -1/6*d**6 + 0 + 83*d**2 + 0*d**3 + 2/21*d**7 - 1/3*d**5 + 1/42*d**8 + 1/2*d**4 + 0*d. Solve y(r) = 0.
-3, -1, 0, 1/2, 1
Solve 2216/3*b**4 - 1321/3*b**2 - 545/3*b**3 - 40/3 + 112/3*b**5 - 422/3*b = 0 for b.
-20, -2/7, -1/4, 1
Let p = 30 + -26. Suppose 4*c = 5*s - 26, -p*s - 1 + 25 = -4*c. Let 5 - j - 4*j + 5*j**4 + 10*j**3 - 4*j**s - 5*j**5 - 5*j**2 - j**2 = 0. What is j?
-1, 1
Let v(a) be the first derivative of 3/2*a**3 + 3*a**2 + 3*a + 23 + 21/20*a**5 - 3*a**4. Let f(m) be the first derivative of v(m). Find q, given that f(q) = 0.
-2/7, 1
Let c = -75971/3 - -25324. Determine v so that -7/3*v**4 - c*v**5 - 20/3 + 16/3*v + 19/3*v**2 - 7/3*v**3 = 0.
-5, -2, 1
Let w = -25 + 25. Suppose w = x - 3*x + 20. Determine c so that -2*c**3 + 7*c**3 + 28*c**2 + x + 25*c - 8*c**2 = 0.
-2, -1
Suppose 0 = 3*u + 15*b - 1272, -1914*u + 1919*u = 3*b + 2148. Solve -69/2*y**2 - u*y - 3/4*y**3 - 726 = 0.
-22, -2
Let f(z) be the first derivative of z**6 - 16*z**5/5 + 2*z**4 + 4*z**3 - 7*z**2 + 4*z + 1427. Solve f(q) = 0 for q.
-1, 2/3, 1
Let m(f) = 5*f**2 + 6*f + 3. Let q be m(-1). Solve 10*r**3 + 17998*r - 18048*r - 10*r**4 + 85*r**3 + 55*r**q = 0 for r.
-1, 0, 1/2, 10
Let q(h) be the second derivative of -2/27*h**4 - 37*h + 0*h**2 + 1/90*h**5 - 4/9*h**3 + 0. Factor q(d).
2*d*(d - 6)*(d + 2)/9
Suppose -i + 5*i + 3*o = 75, i - 3*o = 0. Factor 2*r + 27 - 3*r - 12*r**2 + 3*r**3 - i - 2*r.
3*(r - 4)*(r - 1)*(r + 1)
Let m = 6 - 1. Suppose -3*z = -m*z + 4. Factor -13 - 3 - 4 - 5*r**z + 19*r + r.
-5*(r - 2)**2
Let o(c) be the first derivative of -2/5*c**4 + 0*c - 1/600*c**6 - 1 - 25/3*c**3 + 0*c**2 - 1/25*c**5. Let g(m) be the third derivative of o(m). Factor g(l).
-3*(l + 4)**2/5
Factor 70*a - a**2 - 3*a**2 - a**2 + 224 - 64.
-5*(a - 16)*(a + 2)
Let w(t) be the first derivative of -3*t**5/100 + t**4/20 + t**3/5 + 54*t - 279. Let l(y) be the first derivative of w(y). Suppose l(x) = 0. What is x?
-1, 0, 2
Let 65/4 + 1/4*z**2 - 9/2*z = 0. What is z?
5, 13
Let d = -233048762/26205267 + 20/164813. Let y = -12/53 - d. Solve -4/3*a**3 - y*a + 8/3 + 22/3*a**2 = 0.
1/2, 1, 4
Let n be (-3)/3*(225/90)/(1/(-2)). Let g(a) be the second derivative of -4*a + 2/15*a**3 + 0*a**2 + 0 - 2/15*a**4 + 1/25*a**n. Factor g(q).
4*q*(q - 1)**2/5
Let s = 13 - 15. Let c(u) = u**4 - 3*u**3 + u**2 + 3*u. Let b(h) = -h**4. Let f = 228 + -229. Let q(z) = f*c(z) + s*b(z). Suppose q(j) = 0. Calculate j.
-3, -1, 0, 1
Let g be (2870/406 - 7) + 30156/1740. Factor 10*z - g*z**2 + 9*z**3 - 8/5.
(z - 1)*(3*z - 2)*(15*z - 4)/5
Let c(j) be the third derivative of -2*j + 2/3*j**3 - 1/12*j**4 - j**2 + 0 - 1/30*j**5. Let c(k) = 0. What is k?
-2, 1
Suppose -7*a = 5*w + 15, 4313 - 4303 = -w. Suppose -2/5*m**a + 0*m**4 + 0*m + 24/5*m**3 + 0 - 32/5*m**2 = 0. What is m?
-4, 0, 2
Suppose -1 = -1013*l + 1012*l. Let g be (67 + -67)/(l*-2). Factor 0 + g*a + 2/7*a**5 + 6/7*a**3 - 2/7*a**2 - 6/7*a**4.
2*a**2*(a - 1)**3/7
Let i(n) = 15*n - 191. Let o(s) = 9*s - 230. Let g be o(27). Let h be i(g). Factor 0*q + 0 - 7/5*q**h - 2/5*q**2 + 9/5*q**3.
-q**2*(q - 1)*(7*q - 2)/5
Suppose -5*k + 3*b - 2*b = -1, 4*k - 5*b - 5 = 0. Let x(h) = h**2 - 2*h + 2. Let s be x(k). Factor -9*z - s*z**4 + 6*z**4 - 7*z + 36*z**2 + 24*z**3 - 41 - 7.
4*(z - 1)*(z + 2)**2*(z + 3)
Let x(u) be the first derivative of -238 + 0*u**4 + 0*u**2 + 0*u + 0*u**3 - 1/12*u**6 + 0*u**5. Factor x(w).
-w**5/2
Let v(d) be the first derivative of -d**4/20 - 194*d**3/15 + 196*d**2/5 - 2811. Find g such 