 = 5*s**2 + 94*s + 752. Let n(o) = -11*o**2 - 187*o - 1505. Let g(c) = 2*n(c) + 5*z(c). Let v(b) = g(b) + 9*w(b). Factor v(t).
3*(t + 16)**2
Let o(k) be the second derivative of -4/7*k**2 - 1/70*k**5 + 3*k - 5/42*k**4 + 0 - 8/21*k**3. Find n such that o(n) = 0.
-2, -1
Find w, given that 39*w**2 - 87*w**2 + 43*w**2 + 75*w = 0.
0, 15
Let o(n) = -n - 58 + 18*n + 215. Let l be o(-9). Let -b**2 + 2/3*b**3 - 2/3*b + 0 + b**l = 0. What is b?
-1, -2/3, 0, 1
Let w(m) be the first derivative of 0*m + 0*m**2 + 10/3*m**3 + 5 + 7*m**5 - 45/4*m**4. Factor w(y).
5*y**2*(y - 1)*(7*y - 2)
Let f(g) be the third derivative of g**8/224 + g**7/35 - 41*g**6/80 - 59*g**5/10 - 11*g**4 + 112*g**3 + 70*g**2. Find c such that f(c) = 0.
-4, 1, 7
Let c be (-162)/(-143) - 672/1848. Factor 2/13*w**4 - c*w**3 - 6/13*w + 0 + 14/13*w**2.
2*w*(w - 3)*(w - 1)**2/13
Suppose -7*i = 4*s - 2*i - 27, 4*s - 3*i = 3. Suppose 4*x = -5*b + 3*b - 2, 3*x = s*b - 42. Suppose 2 + b*p - 2*p**2 - 2 - 5*p = 0. What is p?
0, 2
Let w(a) be the second derivative of -a**6/24 + a**5/12 + 4*a**2 + 7*a. Let g(q) be the first derivative of w(q). Find b such that g(b) = 0.
0, 1
Let s(h) be the third derivative of h**6/72 + 23*h**5/180 - 5*h**4/36 - 11*h**2 + 2. Factor s(z).
z*(z + 5)*(5*z - 2)/3
Let t(s) = s**2 - 4*s + 3. Let v be t(4). Let m be 38/(-14) + 2 + 2. Factor -9/7*k**5 + m*k**2 - v*k**4 + 6/7*k + 0 - 9/7*k**3.
-3*k*(k + 1)**3*(3*k - 2)/7
Find g, given that 5/2*g + 0 + 5/4*g**2 = 0.
-2, 0
Let 63*i**2 - 1806 + 2010 - i**3 - 216*i - 2*i**3 = 0. Calculate i.
2, 17
Let l(p) be the third derivative of 2*p**7/105 + p**6/15 - p**4/3 - 2*p**3/3 - 2*p**2 - 14. What is y in l(y) = 0?
-1, 1
Suppose 18/5 - 9/5*m + 1/5*m**2 = 0. Calculate m.
3, 6
Find s, given that 5*s**5 + 117 - 97 + 0*s**3 - 6*s**3 + s**3 - 35*s**2 + 15*s**4 = 0.
-2, -1, 1
Let z(j) = -j**3 + 48*j**2 + 45*j + 8. Let v(k) = 10*k**3 - 530*k**2 - 495*k - 90. Let c(f) = -4*v(f) - 45*z(f). Factor c(r).
5*r*(r - 9)*(r + 1)
Let o be 1/1 + (-1)/3*-9. Suppose 0 = -m - o*p + 8, 3*m + 0*m - 5*p + 10 = 0. Factor m*d + 0 + 2/3*d**2.
2*d**2/3
Let p(k) be the third derivative of k**7/1680 - 7*k**6/1920 - k**5/160 + 5*k**4/4 - 30*k**2. Let a(o) be the second derivative of p(o). Factor a(q).
3*(q - 2)*(4*q + 1)/8
Let a(p) = 3*p**2 + 20*p + 22. Let o(j) = j**2 + 7*j + 8. Let v(y) = -4*a(y) + 11*o(y). Factor v(l).
-l*(l + 3)
Let a(b) = -7*b**5 - 16*b**4 - 14*b**3 - 17*b**2 - 3*b + 9. Let t(q) = q**5 + 2*q**4 - q**2 - q - 1. Let x(p) = -2*a(p) - 18*t(p). Find v such that x(v) = 0.
-2, -1, 0, 3
Let u(l) be the first derivative of -l**5 - 5*l**4 + l**3 - 11*l**3 + 24 - 5*l - 10*l**2 - 1 + 0*l**5. Factor u(h).
-5*(h + 1)**4
Let n(i) be the third derivative of -i**7/70 + 7*i**6/4 - 1357*i**5/20 + 1155*i**4/2 - 2178*i**3 + 426*i**2. Factor n(z).
-3*(z - 33)**2*(z - 2)**2
Let s(p) be the second derivative of -p**5/110 + p**4/66 + 10*p**3/33 + 8*p**2/11 + 21*p + 1. Solve s(u) = 0 for u.
-2, -1, 4
Let r(t) = 5*t**3 + 2*t**2 + t + 1. Let v(c) = -4*c**3 - c**2. Let n(u) = 3*r(u) + 4*v(u). Let y be n(3). Let 2*o**2 - 12*o + y*o + 15*o + 4 = 0. Calculate o.
-2, -1
Factor -1/3*l**4 + 4/3 - 4/3*l**3 + 4/3*l - l**2.
-(l - 1)*(l + 1)*(l + 2)**2/3
Let s be (-2)/(-3) + (-24752)/(-72). Let d = s + -344. Find q, given that 2/9*q**2 + 2/3*q + d = 0.
-2, -1
Factor 128/3*j**3 - 1/6*j**4 - 4096*j**2 - 8388608/3 + 524288/3*j.
-(j - 64)**4/6
Let d(n) = 10*n**2 - 12*n + 2. Let b be d(1). Let g(c) be the second derivative of b + 0*c**3 + 1/84*c**4 - 1/14*c**2 + 4*c. Solve g(o) = 0.
-1, 1
Find b such that -6*b**3 + 8/11*b - 4/11*b**4 - 32/11*b**2 + 2*b**5 + 0 = 0.
-1, 0, 2/11, 2
Let p be -2 - (6 + -2 + -8). Let t(q) be the first derivative of 0*q**p + 0*q - 3/4*q**4 - 7 + 0*q**3. Let t(c) = 0. What is c?
0
Let l = -211 + 211. Let s(x) be the third derivative of 5*x**2 + 0*x**3 + 1/8*x**4 + 0*x + l - 1/20*x**5. Factor s(c).
-3*c*(c - 1)
Let h(k) = k**3 - k - 1. Let z(j) = 11. Let x(b) = 3. Let n(o) = 3*x(o) - z(o). Let p = -3 - -2. Let s(r) = p*n(r) + 2*h(r). Determine i so that s(i) = 0.
-1, 0, 1
Let b(k) = 3*k**5 + k**3 + k**2 - 2*k. Let m(p) = 19*p**5 + 6*p**4 + 18*p**3 + 16*p**2 - 9*p. Let v(r) = -6*b(r) + m(r). Suppose v(x) = 0. What is x?
-3, -1, 0
Let f = -106 + 109. Solve -r**5 + 18*r**2 - 4*r**4 + 2*r - 11*r + 9*r + 3*r**f = 0.
-3, 0, 2
Let x(r) be the second derivative of r**4/12 + r**3/3 - 17*r + 2. Suppose x(f) = 0. What is f?
-2, 0
Let i(u) be the second derivative of 1/42*u**7 + 0*u**3 + 0*u**4 + 0*u**2 - 2*u + 0 + 1/15*u**6 + 1/20*u**5. Let i(d) = 0. What is d?
-1, 0
Let q(p) = -p**3 + 44*p**2 - 83*p - 39. Let j be q(42). Determine y, given that 0 - 6*y**j - 34/7*y**4 - 4/7*y - 10/7*y**5 - 22/7*y**2 = 0.
-1, -2/5, 0
Let k = 129 + -123. Let a = -4 + k. Find r, given that 0 + 2/7*r + 4/7*r**a + 2/7*r**3 = 0.
-1, 0
Suppose -s - 3 = -3*x, -16*x + 19*x + 2*s = 21. Factor 0 - 2/3*q**2 - 2/3*q**x + 4*q.
-2*q*(q - 2)*(q + 3)/3
Suppose 0 = -2*v + 36 - 30. Let d be v + 2/(-3 - 35/(-15)). Factor 10/3*y**2 - 5/3*y - 5/3*y**3 + d.
-5*y*(y - 1)**2/3
Let w be 1/((187/34)/11). What is h in -1/2*h**2 - w*h + 5/2 = 0?
-5, 1
Find l, given that -14/17*l**3 - 48/17*l**2 - 12/17 - 46/17*l = 0.
-2, -1, -3/7
Let s be ((-60)/(-6) - 20) + 7300. Suppose -1215*t**2 - 32805/2 - s*t - 5/2*t**4 - 90*t**3 = 0. What is t?
-9
Let n(j) = j**3 + j**2 - j - 1. Let t = -13 - -37. Let g(m) = 9*m**3 + 6*m**2 - 7*m - 8. Let w(a) = t*n(a) - 3*g(a). Factor w(b).
-3*b*(b - 1)**2
Factor w**5 + 1 - 2 + 11*w**4 + 2*w**3 - 5*w - 8*w**4 - 2*w**2 + 0 + 2*w.
(w - 1)*(w + 1)**4
Let j = -146491/1165245 - -4/233049. Let i = 1/131 - j. Factor 2/15*n**3 - 2/15*n + 2/15*n**2 - i.
2*(n - 1)*(n + 1)**2/15
Let x(g) be the first derivative of -g**3/3 + 14*g**2 - 196*g + 249. Suppose x(f) = 0. What is f?
14
Let 4*q**3 + 0*q**3 + 502 + 8*q - 12*q**2 - 502 = 0. Calculate q.
0, 1, 2
Let j(c) be the first derivative of -1/390*c**5 + 0*c - 5/2*c**2 + 0*c**3 - 4 + 1/78*c**4. Let s(d) be the second derivative of j(d). Factor s(a).
-2*a*(a - 2)/13
Let a(z) = 3*z**2 - z - 1. Let c(s) = 45*s**2 - 4*s - 6. Let u(q) = 6*a(q) - c(q). Factor u(y).
-y*(27*y + 2)
Let v(j) be the second derivative of j**4/4 - 5*j**3 + 27*j**2/2 + 377*j. Factor v(l).
3*(l - 9)*(l - 1)
Factor -13549*l**2 + 2969*l**2 - 22*l**4 + 36*l**4 - 19*l**4 + 460*l**3.
-5*l**2*(l - 46)**2
Let l(m) be the first derivative of 2/57*m**3 - 1/38*m**4 + 9 + 0*m**2 + 0*m. Find p, given that l(p) = 0.
0, 1
Suppose 91*y - 82*y = 0. Factor 1/2*z**2 + 0*z - z**3 + 1/2*z**4 + y.
z**2*(z - 1)**2/2
Let f(b) be the third derivative of -3/10*b**3 - 1/50*b**5 + 1/8*b**4 - 54*b**2 + 0*b + 0. Factor f(h).
-3*(h - 1)*(2*h - 3)/5
Let r = 8 + -17. Let k = 12 + r. Factor 2 + 3*g**2 + 11*g - 5 + k*g**3 + 0*g**3 - 14*g.
3*(g - 1)*(g + 1)**2
Suppose 0 = 5*s - 451 + 86. Let q = 73 - s. Let 0 + 0*v**2 + 4/7*v**4 + q*v + 2/7*v**5 + 2/7*v**3 = 0. Calculate v.
-1, 0
Let j(r) be the third derivative of r**6/40 - r**5/5 + 3*r**4/8 + 65*r**2. What is f in j(f) = 0?
0, 1, 3
Let d(w) be the third derivative of -w**10/75600 - w**9/6048 - w**8/1440 - w**7/840 + 2*w**5/5 - 22*w**2. Let v(y) be the third derivative of d(y). Factor v(k).
-2*k*(k + 1)**2*(k + 3)
Let n = -657/50 + 336/25. Determine t, given that 0 + 1/10*t**2 - n*t = 0.
0, 3
Let t(v) be the second derivative of -v**4/18 + 7*v**3/3 - 18*v**2 - 255*v. What is n in t(n) = 0?
3, 18
Let w(o) be the first derivative of -o**5 + 95*o**4/4 + 105*o**3 + 325*o**2/2 + 110*o + 218. Determine m, given that w(m) = 0.
-1, 22
Suppose 2*i - h = -4*h + 7, 0 = -5*h + 5. Factor 2*k**5 + 0*k + 0*k**4 - 20*k**i - 20*k**4 - 30*k**3 - 7*k**5 - 5*k.
-5*k*(k + 1)**4
Let z(k) = -3*k**4 - 5*k**3 - 5*k**2 - 3*k - 8. Let j(w) = -w**4 - 2*w**3 - 2*w**2 - w - 3. Let l = 4 + -1. Let m(i) = l*z(i) - 8*j(i). Solve m(v) = 0.
-1, 0, 1
Let 2616480 + 44*j**2 + 520*j**2 + 4028192 - j**3 - 106032*j = 0. What is j?
188
Let y be 3*-1*125/(-75). Let r(a) be the second derivative of 1/12*a**4 - 5*a - 1/100*a**y + 3/10*a**2 - 7/30*a**3 + 0. Determine d so that r(d) = 0.
1, 3
Let w be (9 + (-2989)/315)/((-3)/9). Solve -10/3*g**5 + w*g**3 + 0 - 8/15*g + 8/5*g**2 - 4*g**4 = 0.
-1, 0, 2/5
Let n = -3619/3 - -1207. Let q(y) be the first derivative of n*y + 4/9*y**3 + y**2 + 6. Factor q(x).
2*(x + 1)*(2*