. Suppose u(q) = 0. What is q?
-4/3, -1
Suppose 112*w = 75*w + 111. Factor 11/2*c + 1 - 21/2*c**w + 4*c**2.
-(c - 1)*(3*c + 1)*(7*c + 2)/2
Suppose -14*t + 1072 = -10*t. Let b = 383 - t. Find y, given that 98*y**3 - 1344*y**2 - 2058*y**3 - 571*y**4 - 32 - 352*y - b*y**4 = 0.
-2, -2/7
Let q(r) be the first derivative of 4*r**5/5 - 22*r**4 + 628*r**3/3 - 792*r**2 + 1296*r + 49. Factor q(c).
4*(c - 9)**2*(c - 2)**2
Suppose -2*a + 2*c - 3*c = -41, -4*a = -2*c - 78. Let n be (-30)/(-3)*4/a. Determine f, given that 11*f - 3*f + 4*f**3 + 11*f**2 + f**n = 0.
-2, -1, 0
Let f = 187 - 187. Let y(o) be the third derivative of 1/20*o**6 - 1/8*o**4 - 1/10*o**5 + 1/70*o**7 - 9*o**2 + 1/2*o**3 + f - 1/112*o**8 + 0*o. Factor y(r).
-3*(r - 1)**3*(r + 1)**2
Let s(x) = -5*x**2 + 40*x + 100. Let r(y) = 10*y**2 - 80*y - 200. Let l(h) = 6*r(h) + 13*s(h). Factor l(q).
-5*(q - 10)*(q + 2)
Let i be (-1)/((-1)/8)*(-18)/(-72). Let -8*l**i + l**2 + 2*l**2 = 0. Calculate l.
0
Let q(s) be the second derivative of -25*s**7/189 + 8*s**6/9 - 59*s**5/90 - 52*s**4/27 + 28*s**3/9 - 16*s**2/9 - s - 2. Determine j so that q(j) = 0.
-1, 2/5, 1, 4
Let v be (-10*(-10)/(-13 - 7))/(-1). Suppose 12/7*w**4 - 3/7*w**v + 0*w**3 + 48/7*w - 48/7*w**2 + 0 = 0. Calculate w.
-2, 0, 2
Let j(g) be the first derivative of -2/33*g**3 - 53 + 1/11*g**2 + 12/11*g. Let j(l) = 0. What is l?
-2, 3
Let o(j) be the third derivative of j**5/30 + j**4/8 - j**3/3 + 21*j**2. Let p(y) = -y**2. Let c(u) = o(u) + 3*p(u). Let c(f) = 0. Calculate f.
1, 2
Let w(p) be the second derivative of -p**6/10 + 3*p**5/2 - 50*p + 2. Factor w(s).
-3*s**3*(s - 10)
Let a = 190 - 182. Suppose 0 = -20*m + a + 32. Factor -14/5*w**3 - 2*w**m + 0 + 4/5*w.
-2*w*(w + 1)*(7*w - 2)/5
Let m = 27 - 28. Let b be 2/7 + -5 - (m - 4). Factor b - 1/7*r**2 - 1/7*r.
-(r - 1)*(r + 2)/7
Factor 0 + 3/4*b**3 + 0*b + 3/2*b**2.
3*b**2*(b + 2)/4
Suppose -z + 2*i = 6, -105*i - 4 = 4*z - 109*i. Find c, given that -c**2 - 1/5*c**z - 4/5*c**3 - 2/5*c + 0 = 0.
-2, -1, 0
Let j(b) be the first derivative of 0*b + 3*b**2 - 32 + 2/3*b**3. Factor j(o).
2*o*(o + 3)
Let n(k) = -22*k**2 + 360*k + 322. Let f(g) = -3*g**2 + 51*g + 46. Let h(p) = 15*f(p) - 2*n(p). Factor h(t).
-(t - 46)*(t + 1)
Suppose 3535 = 120*k + 1015. Factor -k*p + 147/2 + 3/2*p**2.
3*(p - 7)**2/2
Solve 4 - 1/2*p**2 - p = 0 for p.
-4, 2
Suppose d + 4*p - 10 = 0, -4*d - 3*p - p = -16. Let -d*j**3 - 5264*j**2 + j**5 + 5264*j**2 + j**4 = 0. What is j?
-2, 0, 1
Let y(p) be the first derivative of -p**3/2 + 69*p**2/4 + 194. Solve y(t) = 0 for t.
0, 23
Let u be (1 + -2 - -4) + -3. Let d be (1 + u)*6/18. Factor 1/3*c**3 - 1/6 + 1/6*c**5 + 1/2*c**4 - 1/2*c - d*c**2.
(c - 1)*(c + 1)**4/6
Let t(z) = 26*z**4 - 30*z**3 + 20*z**2 + 8*z. Let g(y) = 9*y**4 - 10*y**3 + 7*y**2 + 3*y. Let i(j) = 8*g(j) - 3*t(j). Find r such that i(r) = 0.
0, 2/3, 1
Let s = 26 + -24. Find p such that 6 - 2 - 15*p + 15*p**3 - 20*p**4 - 9 + 25*p**s = 0.
-1, -1/4, 1
Let s(b) be the first derivative of b**6/9 - 254*b**5/3 + 67415*b**4/3 - 19323380*b**3/9 + 18921425*b**2/3 - 18787862*b/3 + 644. Let s(a) = 0. What is a?
1, 211
Let j(c) = -8*c**2 + 2*c + 4. Let x(k) = -1. Let b(g) = j(g) + 3*x(g). Suppose b(h) = 0. What is h?
-1/4, 1/2
Let j be 5/(-120) + 245/120. Factor 1/4*k**j + 1 - k.
(k - 2)**2/4
Let a(p) = p**2 + p - 1. Let h = 38 - 56. Let c(q) = -8*q**2 - 9*q + 8. Suppose 104*n - 14 = 111*n. Let l(g) = h*a(g) + n*c(g). Factor l(f).
-2*(f - 1)*(f + 1)
Let m(v) be the second derivative of 0 + 1/240*v**6 + 0*v**3 - 1/48*v**4 - 3/2*v**2 + 0*v**5 - 2*v. Let t(s) be the first derivative of m(s). Factor t(i).
i*(i - 1)*(i + 1)/2
Suppose -5*o - 7 + 0 = 2*g, -2*o - 38 = 3*g. Let m = 24 + g. Factor 5 + 3*p**2 + 0*p**3 - m*p**2 + 15*p - 5*p**3 - 10*p.
-5*(p - 1)*(p + 1)**2
Let d(o) be the third derivative of o**6/300 + o**5/150 - o**4/5 + 494*o**2. Suppose d(k) = 0. What is k?
-4, 0, 3
Let z(o) be the third derivative of 26*o**2 + 0*o**4 + 0 - 1/20*o**5 + 2*o**3 + 0*o. Factor z(h).
-3*(h - 2)*(h + 2)
Let s(c) be the third derivative of c**7/2940 - c**6/630 + c**5/420 + 7*c**3/3 + 7*c**2. Let l(r) be the first derivative of s(r). Factor l(p).
2*p*(p - 1)**2/7
Determine u, given that -119 + 8 - 3*u**3 - 28*u**2 - 88*u + u**3 + 31 = 0.
-10, -2
Let h(s) be the first derivative of -9/2*s**2 + 1/84*s**4 + 4 + 2/21*s**3 - 1/210*s**5 + 0*s. Let j(y) be the second derivative of h(y). Factor j(o).
-2*(o - 2)*(o + 1)/7
Let o(f) be the second derivative of 1/28*f**4 - 30*f + 0 + 3/7*f**2 + 11/42*f**3. Determine y, given that o(y) = 0.
-3, -2/3
Let z(h) = -2*h**3 + 8*h**2 - 2*h + 4. Let k(m) = -m**3 + m**2 - m + 1. Let o(s) = 4*k(s) - z(s). Factor o(j).
-2*j*(j + 1)**2
Let j(d) be the third derivative of d**7/280 + d**6/60 - 3*d**5/40 - 4*d**3/3 - 10*d**2. Let f(b) be the first derivative of j(b). Factor f(x).
3*x*(x - 1)*(x + 3)
Let t(w) be the third derivative of w**7/42 + 11*w**6/120 - 13*w**5/60 - w**4/8 - 2*w**2 + 8. Factor t(s).
s*(s - 1)*(s + 3)*(5*s + 1)
Suppose 3*w - 8 + 2 = 0. Suppose 2*f + 0*c = w*c - 10, 3*f = -3*c + 15. Factor 0*t + 3/5*t**3 + 6/5*t**2 + f.
3*t**2*(t + 2)/5
Let t(f) be the third derivative of 7/120*f**4 + 1/420*f**8 + 0*f + 1/15*f**3 + 12*f**2 - 2/525*f**7 + 0 - 11/600*f**6 + 1/150*f**5. Solve t(w) = 0.
-1, -1/2, 1, 2
Suppose 4*i = 0, 0*v - 5*i + 4 = v. Factor 2*r**5 - 5*r**3 + v*r**2 - 2*r**3 + r**3.
2*r**2*(r - 1)**2*(r + 2)
Let c = 229 - 233. Let j be c/(-4) - (1 + (-56)/12). Solve -2*w + 0 - 8/3*w**3 - j*w**2 = 0.
-1, -3/4, 0
Find z, given that 2/9*z + 8/3 - 2/9*z**2 = 0.
-3, 4
Let c = -151 + 746/5. Let g = 73/35 + c. Let g - 4/7*b**2 - 2/7*b = 0. What is b?
-1, 1/2
Let q(y) be the third derivative of 0*y + 5/2*y**3 + y**5 - 25/12*y**4 + 1/42*y**7 - 1/4*y**6 + 0 - 21*y**2. Suppose q(o) = 0. Calculate o.
1, 3
Let o(w) be the second derivative of -10/21*w**7 + 0 + 0*w**3 + 8/5*w**6 + 2/3*w**4 - 9/5*w**5 + 2*w + 0*w**2. Factor o(l).
-4*l**2*(l - 1)**2*(5*l - 2)
Determine f, given that 8*f**3 + 2*f**4 + 0*f**4 + 6158912*f - 32 - 6158944*f = 0.
-2, 2
Let r = -6933/11 + 631. Factor 2/11*u**2 + r*u + 6/11.
2*(u + 1)*(u + 3)/11
Let i(p) be the second derivative of 1/75*p**5 + 0*p**3 + 1/30*p**4 + 0 - 4*p - 7/2*p**2. Let c(r) be the first derivative of i(r). Let c(u) = 0. What is u?
-1, 0
Let n(r) be the second derivative of -r**6/195 + r**5/65 + r**4/6 - 14*r**3/39 - 24*r**2/13 + 21*r + 1. Let n(b) = 0. Calculate b.
-3, -1, 2, 4
Let z(p) be the second derivative of -p**6/45 + p**4/2 - 4*p - 38. Factor z(q).
-2*q**2*(q - 3)*(q + 3)/3
Let d be (36/450)/(2/20). Find j such that 1/5*j**2 + 3/5 - d*j = 0.
1, 3
Let p(o) = o**2 + 4*o + 2. Let t(i) = -3*i**2 - 8*i - 3. Let v(r) = 2*p(r) + t(r). Determine u so that v(u) = 0.
-1, 1
Let i(l) be the third derivative of -l**7/1050 - l**6/120 - l**5/75 + 579*l**2. Let i(j) = 0. Calculate j.
-4, -1, 0
Let z be 30/8*(-15 - -10)/(-15). Let b(j) be the first derivative of -2/5*j**5 + 1/12*j**6 + 1/2*j**4 + 2 + 1/3*j**3 + j - z*j**2. Solve b(c) = 0.
-1, 1, 2
Let n(b) = b - 1. Let g(v) = 2*v**2 + 46*v + 8. Let t(r) = -2*g(r) + 36*n(r). Suppose t(o) = 0. What is o?
-13, -1
Let t(r) be the second derivative of -1/27*r**3 + 0 - 1/45*r**5 + 0*r**2 - 6*r - 1/18*r**4. Factor t(v).
-2*v*(v + 1)*(2*v + 1)/9
Let g = -2 + 9. Let i(c) = 2*c**3 - 2023*c**2 + 2024*c**2 + 4 + 3 + 7*c. Let p(h) = h**3 + 2*h + 2. Let v(k) = g*p(k) - 2*i(k). What is q in v(q) = 0?
0, 2/3
Let b(l) be the first derivative of -l**6/21 + 2*l**5/5 - 13*l**4/14 - 2*l**3/7 + 18*l**2/7 + 159. Solve b(a) = 0 for a.
-1, 0, 2, 3
Factor 1/2*c**3 + 0 + 1/6*c**5 + 0*c - 1/2*c**4 - 1/6*c**2.
c**2*(c - 1)**3/6
Let v be (10 - (-352)/(-36)) + 4/63. Factor 2/7 - v*c**3 + 2/7*c - 2/7*c**2.
-2*(c - 1)*(c + 1)**2/7
Let d(f) be the third derivative of f**6/60 - f**5/6 - 17*f**4/12 + 7*f**3 + 116*f**2. Factor d(z).
2*(z - 7)*(z - 1)*(z + 3)
Let i be (-21)/(-49) + 27/(-189). Let 2/7*d**3 - 2/7*d**4 + 0 + 0*d + 2/7*d**2 - i*d**5 = 0. Calculate d.
-1, 0, 1
Let h(w) be the third derivative of w**7/1050 - 7*w**5/300 - w**4/20 - 62*w**2 - 4*w. Determine m, given that h(m) = 0.
-2, -1, 0, 3
Find q such that -14*q**3 + 6*q**2 - 9*q**3 + 33*q**3 + 165*q - 13*q**3 - 600 = 0.
-8, 5
Let h be (-2 - -2) + 3 + (-2 - -3). Let s(q) be the first derivative of 0*q**3 - 3 