21*s**2 + 32*s + 25. Let r(g) = 3*c(g) - 30*p(g). Suppose r(x) = 0. Calculate x.
-15, -7
Let h(j) = 6*j**3 - 6*j**2 - 70*j + 225. Let z(f) = -5*f**3 + 5*f**2 + 69*f - 225. Let p(y) = -4*h(y) - 5*z(y). Let p(d) = 0. Calculate d.
-9, 5
Let y(o) be the first derivative of -15*o**2 + 41 + 0*o - 2/3*o**3. Let y(v) = 0. Calculate v.
-15, 0
Let j(k) be the third derivative of 35/8*k**4 + 50/3*k**3 - 2*k**2 + 0 - 8*k + 1/12*k**5. Suppose j(s) = 0. Calculate s.
-20, -1
Let v(i) be the first derivative of -17*i**3/9 - 25*i**2/3 + i - 1033. Factor v(p).
-(p + 3)*(17*p - 1)/3
Let r(z) be the second derivative of -3*z**7/49 - 67*z**6/210 - 22*z**5/35 - z**4/2 + z**3/21 + 5*z**2/14 - 3*z - 88. Let r(u) = 0. What is u?
-1, 5/18
Let s be (-156)/16*4 + 44. Let 0 + 8/23*y**2 + 12/23*y**3 + 2/23*y**s - 10/23*y**4 - 16/23*y = 0. Calculate y.
-1, 0, 2
Suppose -5*r = -6*r + 18. Suppose 5*c - 14 = -0*k - 2*k, -3*c = -k + r. Solve k*w + 12 + 23 + 0 + 1 + w**2 = 0.
-6
Let y(h) be the first derivative of 112/11*h + 4/11*h**2 - 35 - 1/22*h**4 - 28/33*h**3. Factor y(t).
-2*(t - 2)*(t + 2)*(t + 14)/11
Factor -43/2*s**2 - 220*s + 242 - 1/2*s**3.
-(s - 1)*(s + 22)**2/2
Suppose -1336213 = -2953*z + 2689 - 69112. Determine k so that -448*k - z*k**3 - 964*k**2 - 64 + 425*k**4 - 125/2*k**5 = 0.
-2/5, 4
Let p(n) be the second derivative of 1/2*n**6 - 5/3*n**4 + 5/21*n**7 + 79*n - 1/2*n**5 + 5/2*n**2 + 0*n**3 + 0. Factor p(x).
5*(x - 1)*(x + 1)**3*(2*x - 1)
Let t(a) = -4*a**4 - 12*a**3 + 182*a**2 - 173*a + 7. Let k(w) = 6*w**4 + 18*w**3 - 272*w**2 + 259*w - 11. Let b(z) = 7*k(z) + 11*t(z). Let b(y) = 0. What is y?
-9, 0, 1, 5
Let s(c) be the first derivative of 18*c**5/5 + 93*c**4/8 + 7*c**3/2 - 12*c**2 - 6*c + 2576. Determine y, given that s(y) = 0.
-2, -1, -1/4, 2/3
Factor -588*m - 4/5*m**2 + 0.
-4*m*(m + 735)/5
Let s(b) be the first derivative of 2*b**3/27 + 554*b**2/9 + 153458*b/9 + 768. Factor s(q).
2*(q + 277)**2/9
Let l(r) be the third derivative of r**6/540 - 97*r**5/270 - 11*r**4/6 - 1206*r**2 + r - 1. Factor l(m).
2*m*(m - 99)*(m + 2)/9
Factor -708050/13 - 2/13*i**2 + 2380/13*i.
-2*(i - 595)**2/13
Suppose -2604*q - 45 = -2613*q. Let t(g) be the second derivative of -2/13*g**2 - 11/39*g**3 + 0 - g - 7/130*g**q - 8/39*g**4. Factor t(o).
-2*(o + 1)**2*(7*o + 2)/13
Let f(s) be the second derivative of -s**6/90 + s**5/120 + 5*s**4/24 - 1324*s. Solve f(d) = 0.
-5/2, 0, 3
Let z(g) = g**3 + 11*g**2 + 9*g - 8. Let l = -43 - -33. Let a be z(l). Solve 39 - 8*t - 39 + 12*t**a = 0.
0, 2/3
Let w = 759 - 503. Factor -w*j**2 - 24*j**3 + 6*j**4 - 12 + 20*j**5 + 296*j**2 + 4*j - 34*j**4.
4*(j - 1)**3*(j + 1)*(5*j + 3)
Let i(l) be the first derivative of -l**8/4480 - l**7/560 - l**6/192 - l**5/160 + 22*l**3/3 - 2*l + 52. Let j(h) be the third derivative of i(h). Factor j(p).
-3*p*(p + 1)**2*(p + 2)/8
Let q(n) be the first derivative of -n**3/8 + 369*n**2/2 - 90774*n - 1529. Determine k so that q(k) = 0.
492
Let s be (4/24*26 - 2)*(-5031)/(-3913). Factor -11*v + 55/4*v**2 + s - 13/2*v**3 + 3/4*v**4.
(v - 6)*(v - 1)**2*(3*v - 2)/4
Suppose 5*q - 5*t = 4905, 4*t = -3*q + 3*t + 2951. Let f = 986 - q. Factor 6/7*i + 4/7*i**2 - 2/7*i**f + 0.
-2*i*(i - 3)*(i + 1)/7
Find z, given that 3/4*z**3 + 465/4*z + 99 + 18*z**2 = 0.
-12, -11, -1
Suppose -2*n + 36 = -6. Find l such that -63*l**5 + 2 - 3*l**2 - 9*l + 1 + 51*l**5 + n*l**3 = 0.
-1, 1/2, 1
Determine s, given that 96/11*s + 360/11 + 6/11*s**2 = 0.
-10, -6
Let a(c) be the second derivative of c**7/3360 + c**6/480 + c**5/160 - 2*c**4/3 - c**2 + 137*c. Let w(n) be the third derivative of a(n). Factor w(b).
3*(b + 1)**2/4
Let g = -115569 - -115572. Suppose 4/9*y**4 - 16/9*y**2 + 0*y - 4/3*y**g + 0 = 0. What is y?
-1, 0, 4
Let r = 284 + -368. Let c be 10/(-8) - (-49)/r*-9. Factor 2/5*a**c + 2/5 + 0*a + 0*a**3 - 4/5*a**2.
2*(a - 1)**2*(a + 1)**2/5
Factor -y**5 + 226*y**3 - 171*y**3 + 74*y**4 + 340*y**3.
-y**3*(y - 79)*(y + 5)
Let r(l) be the third derivative of -18*l**2 + 5/24*l**4 + 9/80*l**6 - 1/60*l**7 - 2*l + 0*l**3 - 29/120*l**5 - 1/672*l**8 + 0. Factor r(h).
-h*(h - 1)**3*(h + 10)/2
Let w be 16/(-64)*-18*16/18. Factor -147*a - 4*a**4 - 88*a**2 + a**w - 101*a**2 - 45*a**3.
-3*a*(a + 1)*(a + 7)**2
Let v(b) be the third derivative of b**5/360 + 3*b**4/16 - 119*b**3/18 + 3*b**2 - 4*b + 789. Factor v(d).
(d - 7)*(d + 34)/6
Let p(a) be the second derivative of -a**5/10 - 67*a**4/6 + 68*a**3/3 - 91*a - 7. Let p(x) = 0. What is x?
-68, 0, 1
Let m(h) be the first derivative of 12*h**2 - 2/15*h**3 + 0*h - 139. Factor m(v).
-2*v*(v - 60)/5
Let h(b) be the second derivative of 3*b**5/35 - 43*b**4/42 + 79*b**3/21 - 12*b**2/7 + 2023*b. Factor h(c).
2*(c - 4)*(c - 3)*(6*c - 1)/7
Let f(w) = 4*w + 8. Let a be f(-1). Let r = 6979 - 34771/5. Let 40*l**2 + 624/5*l + 288/5 - r*l**3 + 12/5*l**a = 0. What is l?
-1, -2/3, 6
Let c(d) = -4*d**2 - 916*d - 52812. Let f(w) = -w - 22. Let l(u) = c(u) + 4*f(u). Determine z, given that l(z) = 0.
-115
Let v(p) be the second derivative of p**6/225 - 4*p**5/75 + 23*p**4/90 - 28*p**3/45 + 4*p**2/5 - p - 63. Suppose v(f) = 0. What is f?
1, 2, 3
Factor 96*b + 60 - 81 - 4*b**2 + 5997*b**3 - 6001*b**3 - 123.
-4*(b - 3)*(b - 2)*(b + 6)
Let n(u) be the second derivative of -1/24*u**7 + 0*u**2 - 5*u + 13/60*u**6 + 0*u**3 + 1/10*u**5 + 0*u**4 + 18. Factor n(a).
-a**3*(a - 4)*(7*a + 2)/4
Let h(r) be the first derivative of -2/21*r**3 + 10/7*r - 91 - 4/7*r**2. Suppose h(v) = 0. Calculate v.
-5, 1
Let i(l) = l**4 + 2*l**3 + 2*l**2 + l - 1. Let y(r) = -3*r**4 + 119*r**3 - 201*r**2 - 113*r + 208. Let x(j) = -2*i(j) + y(j). Let x(m) = 0. Calculate m.
-1, 1, 2, 21
Suppose 13*q - 15 = 50. Let o be (-30)/162*(-6)/q. Factor 2/9*l**2 - o*l - 4/9.
2*(l - 2)*(l + 1)/9
Let m(y) be the second derivative of -y**5/5 + 58*y**4 - 230*y**3 + 344*y**2 - 3*y - 669. Factor m(s).
-4*(s - 172)*(s - 1)**2
Suppose 6 = 18074*x - 18072*x. Let p(v) be the second derivative of 0 - 1/18*v**4 + 6*v - 1/30*v**5 + 1/9*v**x + 1/3*v**2. Let p(z) = 0. What is z?
-1, 1
Let d = -2535146/5 + 507030. Suppose -16/5 - 2*v**3 - d*v**4 + 8/5*v + 2/5*v**5 + 4*v**2 = 0. What is v?
-2, -1, 1, 2
Let v = 421 - 401. Let c be (416/(-5200))/(-1 - (-18)/v). Factor -c*k**3 - 2/5 + 0*k**2 + 4/5*k + 2/5*k**4.
2*(k - 1)**3*(k + 1)/5
Let a(n) be the first derivative of -n**4/15 - 8*n**3/15 + 2*n**2 + 4*n - 55. Let d(z) be the first derivative of a(z). Determine l, given that d(l) = 0.
-5, 1
Let h = -430220/13 - -33094. Let d(q) = -q**3 + 3*q**2 + 4*q + 2. Let t be d(4). Factor 2/13*i + 4/13 - h*i**t.
-2*(i - 2)*(i + 1)/13
Determine u so that 13601*u + 1/3*u**3 + 13467 + 403/3*u**2 = 0.
-201, -1
Let a(u) be the second derivative of u**6/280 - 3*u**5/28 + 27*u**4/56 - 13*u**3/14 - 7*u**2/2 - 203*u. Let v(t) be the first derivative of a(t). Factor v(c).
3*(c - 13)*(c - 1)**2/7
Let g(u) be the third derivative of 1/30*u**5 + 221*u**2 + 0*u + 0 - 8/3*u**3 - 1/6*u**4. Factor g(b).
2*(b - 4)*(b + 2)
Let k(o) = -3*o**2 + 15*o. Let i(l) = 7*l**2 - 15*l. Let x(s) = s**2 + 6 - 1 - 5. Let p(z) = i(z) - 4*x(z). Let n(d) = -4*k(d) - 3*p(d). Factor n(c).
3*c*(c - 5)
Let z(h) be the first derivative of -2/39*h**3 - 38/13*h + 11 - 20/13*h**2. Factor z(f).
-2*(f + 1)*(f + 19)/13
Let z(q) be the third derivative of q**7/42 - q**6/4 - 6*q**5 - 3462*q**2. Solve z(k) = 0 for k.
-6, 0, 12
Let l(n) = 99*n - 955. Let a be l(10). Let y be 9*7/a*10/6. Factor 4/3*i**2 + 0 + 2*i - 2/3*i**y.
-2*i*(i - 3)*(i + 1)/3
Let s be (-7)/21*((-6)/2 + -3). Let k = 1 - -1. Solve -16/5*j + 8/5 + k*j**s - 2/5*j**3 = 0.
1, 2
Let r = 15239 + -15236. Let 8/3 - 26/9*m**2 - 2/9*m**5 - 16/9*m + 2/9*m**4 + 2*m**r = 0. What is m?
-3, -1, 1, 2
Let i(x) be the first derivative of -x**5/15 - x**4 - 6*x**3 - 30*x**2 + 49. Let w(b) be the second derivative of i(b). Factor w(j).
-4*(j + 3)**2
Let a(v) = -8*v**2 - 35*v - 8. Let u be a(-4). Solve 456*i - 75*i**5 - 420*i**2 + 35*i**u + 146*i**4 - 462*i**3 - 208 - 301 + 254*i**4 + 413 = 0.
-1, 2/5, 2, 4
Let z(g) be the second derivative of -361*g**3/6 + 7*g**2/2 - 11*g. Let q be z(-2). Suppose 721*m + 5*m**2 + 8 - q*m - 3*m**2 = 0. Calculate m.
2
Let h(k) = -54*k**2 - 1106*k - 2. Let p(c) = -c**3 - 53*c**2 - 1126*c - 3. Let s(q) = 3*h(q) - 2*p(q). Find i, given that s(i) = 0.
-13, 0, 41
Let l be (-10)/30