+ 0 + 2*h**y.
3*(h - 2)*(h - 1)
Let x(o) be the second derivative of -o**5/70 + o**4/42 - 357*o. Factor x(g).
-2*g**2*(g - 1)/7
Let z(q) be the first derivative of -q**4/7 + 184*q**3/21 - 1280*q**2/7 + 9600*q/7 - 741. What is o in z(o) = 0?
6, 20
Let y(x) = 16*x**3 + 2*x**2 - 30*x - 2. Let z(t) = t**5 + 16*t**3 + 3*t**2 - 29*t - 3. Let q(d) = -3*y(d) + 2*z(d). What is o in q(o) = 0?
-2, 0, 2
Let z(n) = -5*n + n**2 + 1 + n**3 + 4*n + 0*n**3. Let u(x) = -4*x**3 + 4*x**2 - 4*x. Let s(y) = -u(y) - 2*z(y). Suppose s(b) = 0. What is b?
1
Let l(u) be the second derivative of -u**4/3 - 14*u**3/3 + 16*u**2 + 7*u + 4. Let l(a) = 0. Calculate a.
-8, 1
Determine m, given that 0 - 2/7*m**3 + 4/7*m - 2/7*m**2 = 0.
-2, 0, 1
Let z(t) be the third derivative of 0 + 0*t - 1/24*t**3 + 9*t**2 - 5/96*t**4 - 1/30*t**5 - 1/120*t**6. Factor z(b).
-(b + 1)*(2*b + 1)**2/4
Let n(o) be the first derivative of -o**5/25 + o**4/20 + o**3/5 - o**2/2 + 2*o/5 + 72. Factor n(a).
-(a - 1)**3*(a + 2)/5
Let a(c) be the first derivative of 8*c**6/3 + 24*c**5 + 153*c**4/4 + 55*c**3/3 + 3*c**2 + 59. Factor a(y).
y*(y + 1)*(y + 6)*(4*y + 1)**2
Let t(q) = 20*q**3 + 60*q**2 + 49*q + 6. Let x(v) be the third derivative of v**4/24 - v**3/6 + 3*v**2. Let u(d) = -t(d) + 4*x(d). Factor u(n).
-5*(n + 2)*(2*n + 1)**2
Let v(q) be the first derivative of -q**3/24 - 3*q**2/16 + 7*q/2 + 49. Suppose v(c) = 0. Calculate c.
-7, 4
Let t(g) be the first derivative of g**4/4 - g**3/3 - g + 5. Let o be t(2). Find l such that -2 - 2 - 5*l**2 + o*l - 1 + 7*l = 0.
1
Let q(r) be the third derivative of 0*r**3 + 0 - 3*r**2 + 1/60*r**5 - 5/96*r**4 + 0*r + 1/480*r**6. Factor q(v).
v*(v - 1)*(v + 5)/4
Let w be 1*(5 + 3 + -5). Suppose 15*p + 9*p - 16 + 2*p**w + 0*p**3 - 12*p**2 = 0. Calculate p.
2
Let k(j) be the second derivative of -j**5/110 - 5*j**4/66 - j**3/11 + 9*j**2/11 + j - 3. Determine s so that k(s) = 0.
-3, 1
Let q(n) = -3*n + 12. Let g be q(9). Let l be g/(-8) + 6/48. Factor 2*t**l - 3*t + 0*t + t**2.
3*t*(t - 1)
Solve -29 + h - 1/4*h**4 + 13/2*h**3 + 87/4*h**2 = 0.
-2, 1, 29
Let d(w) be the second derivative of -5/2*w**4 + 3/4*w**5 - 1/14*w**7 - 12 + 12*w**2 - 2*w**3 + 1/5*w**6 + 3*w. Determine o so that d(o) = 0.
-2, -1, 1, 2
Let t = 5683 - 5679. Factor 3/4*h - 3/8*h**t - 15/8*h**2 + 3/2*h**3 + 0.
-3*h*(h - 2)*(h - 1)**2/8
Suppose -2*g + 36 = -3*g - 10*d, -4*g - d + 12 = 0. Determine n so that -12/5*n**2 - 6/5*n**5 - 16/5 + 28/5*n**g + 8*n - 34/5*n**3 = 0.
-1, 2/3, 1, 2
Let o = -1/4 + 47/12. Let d(k) be the second derivative of 2*k**2 + 0 + 8/3*k**4 + 7/10*k**5 + o*k**3 - 3*k. Find p such that d(p) = 0.
-1, -2/7
Let f(a) = 13*a**2 - 148*a + 115. Let b(v) = -4*v**2 + 49*v - 39. Let i(c) = 10*b(c) + 3*f(c). Factor i(s).
-(s - 45)*(s - 1)
Let g(v) = 964*v**4 + 420*v**3 - 496*v**2 + 80*v + 16. Let t(c) = -193*c**4 - 84*c**3 + 99*c**2 - 16*c - 3. Let d(b) = -3*g(b) - 16*t(b). Factor d(m).
4*m*(m + 1)*(7*m - 2)**2
Let w(m) be the first derivative of -m**3/6 - 22*m**2 - 968*m + 117. Factor w(s).
-(s + 44)**2/2
Factor 2/5*k**3 + 2/5*k**2 + 0 - 4/5*k.
2*k*(k - 1)*(k + 2)/5
Suppose 0*n + 42 = 7*n. Let x(h) be the first derivative of -1/2*h**4 + 0*h**3 + 1/7*h**2 + 0*h + 12/35*h**5 + n. Solve x(f) = 0.
-1/3, 0, 1/2, 1
Let b(s) be the first derivative of -s**7/30 - s**6/10 + s**5/15 + 4*s**2 - 12. Let i(n) be the second derivative of b(n). Find v such that i(v) = 0.
-2, 0, 2/7
Let l be (-9)/(-2) - 5/(-10). Suppose p = u - 1 + 5, 0 = u - l*p + 20. Factor 0*k**2 + 1/3*k**5 - 1/3*k**4 + u - 2/3*k**3 + 0*k.
k**3*(k - 2)*(k + 1)/3
Determine v, given that 3*v + 44*v**3 - 4 + 36*v**4 - 23997*v**2 + 24013*v**2 + 10*v**5 - 9*v = 0.
-1, 2/5
Find k such that -8/3*k**2 + 4/3*k**3 + 0 + 4/3*k**4 + 0*k = 0.
-2, 0, 1
Suppose -n + 2*n = 2*y - 17, y - n = 7. Factor y*s - 12*s**2 - 2*s**3 + s**4 - 24*s - 101 + 0*s**3 + 96.
(s - 5)*(s + 1)**3
Suppose -4*m - 2*w = -0*m - 22, 5*w - 20 = -3*m. Suppose -m*q + 5 = -5. Factor -6*v**3 + 3*v**4 + 9*v**3 + 11*v**3 - 5*v**3 - 15*v**q - 3*v**5 + 6*v.
-3*v*(v - 1)**3*(v + 2)
Let o = -760 - -3017/4. Let q = -5 - o. Determine d so that 0*d + 0 + q*d**2 = 0.
0
Suppose 3*q = 3*b + 4*q + 162, -q = -4*b - 209. Let a = -50 - b. Solve -4/5*j**a + 2/5 - 6/5*j**2 + 0*j = 0.
-1, 1/2
Let g(h) = -105*h**2 + 245*h. Let c(k) = k**3 - 53*k**2 + 123*k. Let n(a) = 5*c(a) - 3*g(a). Let n(v) = 0. Calculate v.
-12, 0, 2
Let k(j) be the second derivative of j**4/4 - 242*j**3 + 87846*j**2 - j - 10. Let k(n) = 0. Calculate n.
242
Factor 58/15*j - 26/15*j**2 - 2 - 2/15*j**3.
-2*(j - 1)**2*(j + 15)/15
Let t(q) = -q**2 - 2*q. Let s(c) = 5*c**2 + 4*c. Let a(b) = 2*s(b) + 6*t(b). Determine h, given that a(h) = 0.
0, 1
Let p(o) = -o**3 + o + 1. Let s(y) = -3*y**4 - 19*y + 2 + 7*y**3 + 9*y**2 + 2*y**3 - 2*y**3. Let z = -89 - -93. Let a(k) = z*p(k) + s(k). Factor a(d).
-3*(d - 1)**3*(d + 2)
Let z be -1 + -14 - (-5846)/370. Find a such that 16/5*a**3 + 0 + z*a + 6/5*a**4 + 14/5*a**2 = 0.
-1, -2/3, 0
Let b = -61 + 75. Factor b - 6*t**3 + 2*t**2 - 14 + 5*t**3 + 3*t.
-t*(t - 3)*(t + 1)
Let p be (-42)/11 + 4 - 3800/(-396). Let j = p - 296/45. Factor 32/5 + j*a + 2/5*a**2.
2*(a + 4)**2/5
Let g(o) be the first derivative of -4/5*o**2 - 2/5*o**4 - 4/5*o**3 - 13 - 2/5*o - 2/25*o**5. Find v such that g(v) = 0.
-1
Factor -340*a + 16*a**3 - 24*a**2 - 8*a**3 + 308*a - 12*a**3.
-4*a*(a + 2)*(a + 4)
Suppose 18 = -3*h - 2*b, -4*h = -3*b - 15 - 12. Solve 1/2*t**4 + h + 0*t + t**3 + 0*t**2 - 1/2*t**5 = 0.
-1, 0, 2
Let k be 4/30 + 1144/195. Let p(u) = -4*u**2 + 34*u + 98. Let b(f) = -7*f**2 + 67*f + 196. Let q(v) = k*b(v) - 11*p(v). Factor q(r).
2*(r + 7)**2
Let n(b) = -5*b**3 + 3*b**2 + 2*b - 4. Let j(m) = 6*m**3 - 3*m**2 - 3*m + 5. Let l(h) = 4*j(h) + 5*n(h). Let l(p) = 0. What is p?
0, 1, 2
Let c(l) be the second derivative of l**8/8400 + l**7/630 + l**6/150 - 41*l**4/12 - 11*l. Let f(a) be the third derivative of c(a). Let f(d) = 0. What is d?
-3, -2, 0
Suppose -275*d + q = -274*d, 0 = 4*d - q. Suppose d*w - 2/9*w**4 + 0 + 2/3*w**2 - 4/9*w**3 = 0. What is w?
-3, 0, 1
Let z = 4 - -11. Factor -16*i**3 + z*i**3 - 2*i**4 + 2*i**2 + i**5 + 0*i**2.
i**2*(i - 2)*(i - 1)*(i + 1)
Let c(b) = 8*b**2 - 296*b + 244. Let y(p) = -p**2 + 42*p - 35. Let r(z) = -6*c(z) - 44*y(z). Find j, given that r(j) = 0.
-19, 1
Factor 1/3*j**2 + 8/3*j + 7/3.
(j + 1)*(j + 7)/3
Let v be -4 - (0 + (-3)/54*73). Let s = v - -1/6. Factor -2/9*y - s + 4/9*y**3 - 2/9*y**4 - 2/9*y**5 + 4/9*y**2.
-2*(y - 1)**2*(y + 1)**3/9
Let w be (-67)/(-68) - (-1100)/(-4675). Factor -1/4*q**3 - 1/4 - w*q - 3/4*q**2.
-(q + 1)**3/4
Let t(l) = l**3 + 6*l**2 - 9*l. Let g be t(-7). Factor -g*j**2 + 12*j**3 - 92*j**4 + 2*j - j**5 + 3*j + 90*j**4.
-j*(j - 1)**3*(j + 5)
Let c(h) be the first derivative of 2*h**3/27 + 262*h**2/9 + 34322*h/9 - 345. Factor c(k).
2*(k + 131)**2/9
Let m(v) = v**3 + 6*v**2 + 4*v - 3. Let n be m(-5). Solve l**n - 4*l**2 - l + 4*l = 0 for l.
0, 1
Suppose 22 - 17 = q. Let f = 5 - 2. Factor q*k**4 - f*k**2 - 3*k**4 + k**2.
2*k**2*(k - 1)*(k + 1)
Let p(f) be the second derivative of 25*f**7/42 + 37*f**6/6 + 21*f**5 + 85*f**4/3 + 40*f**3/3 + 82*f. What is u in p(u) = 0?
-4, -2, -1, -2/5, 0
Let g = -288 - -293. Let y(z) be the third derivative of 4*z**2 - 1/20*z**g + 0*z + 1/40*z**6 + 0 + 0*z**4 + 0*z**3. Factor y(t).
3*t**2*(t - 1)
Let b(w) be the third derivative of -w**6/120 - w**5/10 - 3*w**4/8 - 2*w**3/3 + 152*w**2. Factor b(d).
-(d + 1)**2*(d + 4)
Let m = -22 - -23. Suppose 5*o + 5 = 0, -u - m = -o + 4*o. Factor -3*h**2 + h**3 + 7*h**u - h - 3*h**2 - h**4.
-h*(h - 1)**2*(h + 1)
Let q(o) = 8*o**3 - 32*o**2 + 15*o. Let n(z) be the first derivative of -z**4/2 + 8*z**3/3 - 2*z**2 + 29. Let i(v) = -18*n(v) - 4*q(v). Factor i(u).
4*u*(u - 3)*(u - 1)
Let v(m) = -m**2 + 2*m + 1. Let r(q) = -13*q**2 - 18*q - 189. Let s(t) = -2*r(t) + 22*v(t). Factor s(z).
4*(z + 10)**2
What is d in 0*d - 8/5*d**3 + 6/5*d**2 + 0 + 2/5*d**4 = 0?
0, 1, 3
Suppose 6*j - 7*j = -11. Factor 123*z**5 - 118*z**5 - j*z**3 + 10*z**2 - 4*z**3.
5*z**2*(z - 1)**2*(z + 2)
Factor 0*o + 0 - 2/17*o**4 - 2/17*o**3 + 4/17*o**2.
-2*o**2*(o - 1)*(o + 2)/17
Let o(g) be the first derivative of g**5/360 - g**4/36 + 3*g**2 + 1. Let n(u) be the second derivative of o(u). Suppose n(x) = 0. What is x?
0, 4
Let t(d) = -d**