 1)*(w + 1)*(w + 37)
Let i(q) = -66*q + 8. Let j be i(0). Let g(a) be the first derivative of -7*a**4 + 8/3*a**3 - 11 - j*a + 14*a**2. Find n, given that g(n) = 0.
-1, 2/7, 1
Let l(i) be the second derivative of -i**4/108 + 19*i**3/27 - 361*i**2/18 + 4*i. Factor l(h).
-(h - 19)**2/9
Let k(p) be the first derivative of -5/3*p**3 + 5/4*p**2 - 1/2*p**5 - 15 + 1/12*p**6 - 1/2*p + 5/4*p**4. Factor k(u).
(u - 1)**5/2
Let m be (-1 + 1)/(6 + -5). Factor -3*s**2 + m*s**2 + 3*s**3 - 4*s**3 - 2*s.
-s*(s + 1)*(s + 2)
Suppose 0 = 2*m + 4*z + 1 + 11, 4*m - 3*z - 31 = 0. Factor m*f**3 - 6*f**3 + 3*f**2 + 3*f**3.
f**2*(f + 3)
Let t(i) be the second derivative of 1/12*i**4 + 1/2*i**2 + 0 - 13*i + 1/3*i**3. Find b such that t(b) = 0.
-1
Let y = -2/337 - -2032/1685. Factor 4/5*c + 2/5*c**3 + 0 - y*c**2.
2*c*(c - 2)*(c - 1)/5
Let x(w) be the second derivative of w**4/8 - w**3/6 - w**2/4 + 106*w. Factor x(y).
(y - 1)*(3*y + 1)/2
Let y = -7745/2 + 3873. Factor a**2 + y - 1/4*a**3 - 5/4*a.
-(a - 2)*(a - 1)**2/4
Let z(a) be the first derivative of -a**3/9 - 193*a**2/12 + 97*a/6 + 339. Factor z(y).
-(y + 97)*(2*y - 1)/6
Factor -72 + 137 + 8*d**2 + 19 - 24*d**2 - 93*d - 7*d.
-4*(d + 7)*(4*d - 3)
Let a(y) be the second derivative of -31*y**5/20 - y**4/12 + y. Let t be a(-1). Factor -27*s**4 - 4*s + t*s**4 + 4*s + 12*s**2 + 12*s**3.
3*s**2*(s + 2)**2
Let x(i) be the third derivative of -8*i**7/105 + i**6/2 - i**5/3 - 5*i**4/2 + 6*i**3 - 120*i**2. Let x(s) = 0. Calculate s.
-1, 3/4, 1, 3
Let q(g) = 3*g**3 - 17*g**2 - g - 26. Let t be q(6). Let -6/5*y**3 + 2/5*y**t - 2/5*y**2 + 2/5*y**5 + 0 + 4/5*y = 0. Calculate y.
-2, -1, 0, 1
Let c be (3 + -4)*-2 + (11 - 5). Suppose -4*i = -4*u + 4, -4*u = i - c - 6. Factor -2/3*r + 2/15*r**u - 2/15*r**4 + 2/5*r**2 + 4/15.
-2*(r - 1)**3*(r + 2)/15
Let u(z) = 21*z - 145. Let h be u(7). Let i(c) be the third derivative of -1/8*c**4 + 4*c**h + 0 - 1/20*c**5 + c**3 + 0*c. Factor i(x).
-3*(x - 1)*(x + 2)
Let g(k) = 2*k - 8. Let c be g(5). Factor -4*p**2 - 476 + 476 + c*p + 4*p**4 - 2*p**5.
-2*p*(p - 1)**3*(p + 1)
Let y(u) = 19*u**2 + 7*u - 8. Let q(s) = -3*s**2 - s + 1. Let p(j) = 6*q(j) + y(j). Determine w so that p(w) = 0.
-2, 1
Factor 12 + 3/5*x**2 + 48/5*x - 3/5*x**3.
-3*(x - 5)*(x + 2)**2/5
Let x = -106 - -114. Solve -x*q + 10*q**2 + 0*q**2 - 2*q**2 - 12 - 4*q**2 = 0 for q.
-1, 3
Let y be ((-8)/3)/((-1344)/1008). Factor 2/7 - 6/7*u**y + 4/7*u.
-2*(u - 1)*(3*u + 1)/7
Let m(x) be the first derivative of x**5 + 5*x**4/4 - 5*x**3 - 5*x**2/2 + 10*x - 98. What is i in m(i) = 0?
-2, -1, 1
Let u(d) be the second derivative of d**5/60 + d**4/12 + 14*d**2 + 11*d. Let y(b) be the first derivative of u(b). Factor y(p).
p*(p + 2)
Suppose 2*j + 5*z - 3 - 1 = 0, -2*j = 3*z - 4. Factor w**2 + w**2 - 16 + j*w**2.
4*(w - 2)*(w + 2)
Let y(t) = 6*t**3 + 24*t**2 - 30*t - 3. Let i(x) = -5*x**3 - 24*x**2 + 29*x + 2. Let h(f) = 3*i(f) + 2*y(f). Suppose h(w) = 0. What is w?
-9, 0, 1
Let d(q) be the first derivative of 3*q**4/4 + 2*q**3 + 3*q**2/2 - 36. Suppose d(g) = 0. What is g?
-1, 0
Let w(c) be the third derivative of 121*c**6/540 - 11*c**5/90 + c**4/36 + 5*c**3/2 - 30*c**2. Let d(l) be the first derivative of w(l). Factor d(p).
2*(11*p - 1)**2/3
Let a(q) be the second derivative of -1/12*q**2 - 1/72*q**4 - 1/18*q**3 - 3*q + 0. Factor a(k).
-(k + 1)**2/6
Let j be (9 + 2 - (4 - -1)) + -3. Let z(s) be the first derivative of 0*s**2 + 8/7*s - 50/21*s**j + 3. Factor z(i).
-2*(5*i - 2)*(5*i + 2)/7
Solve -130 + 37*v - 70*v - 92*v + 5*v**2 = 0.
-1, 26
Let p(s) be the third derivative of s**5/4 + 19*s**4/4 - 8*s**3 - 59*s**2 + 2. Factor p(o).
3*(o + 8)*(5*o - 2)
Suppose 5*a + 2*y - 139 = 4*y, -y + 119 = 4*a. Suppose -5*x = -1 - a. Let -4*t + t**3 + 5*t**2 - 3*t**2 - 2 - x = 0. What is t?
-2, 2
Let a(d) = -d**2 + 27*d - 173. Let p be a(11). Let m(z) be the first derivative of -2/3*z - 2/9*z**p + 3 + 2/3*z**2. Let m(f) = 0. Calculate f.
1
Let k(t) be the first derivative of -4*t**5/25 - 13*t**4/10 + 14*t**3/15 - 217. Determine v, given that k(v) = 0.
-7, 0, 1/2
Suppose -8*w + 44 = -12. Find a, given that 2*a**5 + 8*a**4 + 6*a**2 + w*a**4 - 5*a**4 + 14*a**3 = 0.
-3, -1, 0
Let v(j) = -114*j**2 - 153*j + 6. Let o(n) = -14*n**2 - 19*n + 1. Let x(a) = 33*o(a) - 4*v(a). Suppose x(c) = 0. What is c?
-3, 1/2
Suppose 4*r - 10 = 6. Suppose n - 3*n - 6 = -3*m, -10 = r*n - 5*m. Find z, given that -1/2*z**2 - z + n = 0.
-2, 0
Let a(y) = -3*y**5 - 15*y**4 + 5*y**3 + 65*y**2 + 53*y - 5. Let k(i) = i**3 + i**2 + i - 1. Let v(s) = -a(s) + 5*k(s). Find j, given that v(j) = 0.
-4, -2, -1, 0, 2
Let n(f) be the third derivative of 0 + f**2 + 0*f + 1/40*f**5 + 9/4*f**3 - 3/8*f**4. What is t in n(t) = 0?
3
Let d(n) be the first derivative of -4*n + 4/3*n**2 - 10 - 4/27*n**3. Suppose d(x) = 0. What is x?
3
Let t(w) = -6*w - w**2 + 1 + 4*w + 3*w. Let o(a) = -5*a**3 - 5*a**2 - 40*a - 25. Let l(k) = -o(k) - 15*t(k). Factor l(p).
5*(p + 1)**2*(p + 2)
Let x(i) = i**2 + 12*i + 4. Let z be x(-8). Let p = 50 + z. Factor 2*n**4 + 6*n**4 - 4 - 10*n - p*n**2 - 8*n.
2*(n - 2)*(n + 1)*(2*n + 1)**2
Let l(i) be the third derivative of -i**7/336 - i**6/72 + i**5/48 + 5*i**4/24 - 7*i**3/6 + 10*i**2. Let f(q) be the first derivative of l(q). Factor f(s).
-5*(s - 1)*(s + 1)*(s + 2)/2
Let k(o) = o**2 - 4*o - 74. Let d be k(-7). What is b in -3/7*b**d - 2/7*b + 5/7*b**2 + 1/7*b**5 + 0 - 1/7*b**4 = 0?
-2, 0, 1
Suppose -5*x + 4 = -4*p, 0 = x + 1 - 5. Factor -3*r + 2*r + r**p + r**3 + 5 - 3 - 3*r**2 + 0*r.
(r - 1)**2*(r + 1)*(r + 2)
Let r(u) = -2*u**3 + 9*u**2 + 11*u - 11. Suppose 4*m + 30 = -m. Let c(n) = -n**3 + 5*n**2 + 6*n - 6. Let s(d) = m*r(d) + 11*c(d). Factor s(x).
x**2*(x + 1)
Suppose -1199 = -2*a - 231. Suppose -4*s**2 - a - 18*s + 2*s**2 - 2*s**2 + 106*s = 0. What is s?
11
Let d be (-15*12/(-20))/(3/88). Let r = -2374/9 + d. Factor -r*w**4 + 4/9*w**3 - 4/9*w + 0 + 2/9*w**2.
-2*w*(w - 2)*(w - 1)*(w + 1)/9
Factor -33/5*w + 3*w**2 + 6/5.
3*(w - 2)*(5*w - 1)/5
Let g(f) be the second derivative of -f**6/20 - 63*f**5/10 - 923*f**4/4 - 861*f**3 - 5043*f**2/4 + 4*f - 3. Factor g(p).
-3*(p + 1)**2*(p + 41)**2/2
Let n be (4 + (1458/(-12))/27)/((-2)/5). Factor 1 + 1/4*h**2 + n*h.
(h + 1)*(h + 4)/4
Let s(f) be the second derivative of 9/20*f**5 - 7*f + 53/36*f**4 + 7/6*f**3 + 2/45*f**6 + 0 - 3/2*f**2. Factor s(t).
(t + 1)*(t + 3)**2*(4*t - 1)/3
Let b(c) be the first derivative of 0*c - 1/10*c**4 + 2/25*c**5 + 0*c**2 - 4/15*c**3 - 51. Factor b(y).
2*y**2*(y - 2)*(y + 1)/5
Let u be ((-21)/15 - -1)*-30. Factor 5*f**3 - 16*f - f**3 + 6*f + u*f + 6*f**2.
2*f*(f + 1)*(2*f + 1)
Factor 0 - 20/7*n**2 + 24/7*n**3 + 6/7*n - 12/7*n**4 + 2/7*n**5.
2*n*(n - 3)*(n - 1)**3/7
Let n be ((-2)/5 - -1)*8206/2238. Factor -n - 9/5*c**2 - 21/5*c + 1/5*c**3.
(c - 11)*(c + 1)**2/5
Let i(s) = -20*s**3 - 5*s**2 + 5*s. Let t(n) = 23*n**3 + 6*n**2 - 5*n. Let a(d) = -6*i(d) - 5*t(d). Solve a(k) = 0 for k.
-1, 0, 1
Let g(q) be the second derivative of 3*q**5/130 + 40*q**4/39 + 4*q**3/3 - 5*q + 4. Factor g(d).
2*d*(d + 26)*(3*d + 2)/13
Let h = -75 + 1201/16. Let g(z) be the second derivative of 1/12*z**3 - h*z**4 - z + 1/120*z**6 + 0*z**2 + 0 + 0*z**5. Find t such that g(t) = 0.
-2, 0, 1
Let i(a) = -12*a**2 + 234*a - 312. Let z(s) = -s**2 + 18*s - 24. Let c(r) = 2*i(r) - 27*z(r). Factor c(p).
3*(p - 4)*(p - 2)
Suppose 4/3*a**2 - 4*a - 1/9*a**3 + 0 = 0. Calculate a.
0, 6
Suppose t - 2 = -6, -4*l + 28 = -3*t. Let a = -17 + 19. Factor -2*k**a + l - 2 + 0 + 0.
-2*(k - 1)*(k + 1)
Let f(w) be the third derivative of -1/160*w**5 - 1/64*w**4 + 0*w + 0*w**3 - 10*w**2 + 0. Factor f(b).
-3*b*(b + 1)/8
Let l(n) = -n**3 - 5*n**2 + 10. Let f be l(-5). Factor -f*k**4 + 22*k**5 - 27*k**5 - 7*k**3 + 2*k**3.
-5*k**3*(k + 1)**2
Let u be (-22)/(-4)*((-184)/24 + 8). Let c(j) be the second derivative of -5*j + u*j**3 + j**2 + 13/12*j**4 + 1/5*j**5 + 0. What is o in c(o) = 0?
-2, -1, -1/4
Let r(b) be the first derivative of -b**4/34 - 16*b**3/17 - 189*b**2/17 - 980*b/17 + 769. Solve r(t) = 0 for t.
-10, -7
Let r = 49 + -48. Let t be 2/(-12) + r/6. What is w in 0*w + t + 0*w**3 - 2/5*w**4 + 0*w**2 = 0?
0
Let f(h) = -h**2 - 19*h - 31. Let a be f(-17). Let 3*y + y**2 + a*y**4 + 5*y**3 - 4*y**2 - 9*y + y**3 = 0. Calculate y.
-2, -1, 0, 1
Let d(t) be the first derivativ