(n) + 3*q(n). Factor m(w).
-(w - 6)*(w + 2)
Let q be 19 + -7 + -4 + -7. Let b(u) be the first derivative of 0*u - q - 2/15*u**3 - 3/5*u**2. Factor b(d).
-2*d*(d + 3)/5
Factor 1/3*g**2 + 0 - 13/3*g.
g*(g - 13)/3
Let b(v) = v**3 - 6*v + 4. Let j(w) = -w + 2. Let c(s) = -b(s) + 3*j(s). Factor c(h).
-(h - 2)*(h + 1)**2
Let n(l) be the first derivative of 1/12*l**3 + 0*l + 12 - 1/4*l**2. What is j in n(j) = 0?
0, 2
Suppose 3*f - 52 = 2*i, 5*f + 7*i - 5*i - 60 = 0. Let v be 2*3/15*(f - 9). Suppose 4/7 + 32/7*m + 36/7*m**4 + 93/7*m**3 + 85/7*m**v = 0. What is m?
-1, -2/3, -1/4
Let -4/3*b**2 - 220/3*b + 152 = 0. Calculate b.
-57, 2
Let u(w) be the first derivative of -w**3/6 + 50*w**2 - 5000*w - 526. Factor u(y).
-(y - 100)**2/2
Let r(z) be the first derivative of -3 - 5/4*z**4 - 85/12*z**3 - 15/4*z - 10*z**2. Factor r(i).
-5*(i + 1)*(i + 3)*(4*i + 1)/4
Let r be 3 - (1/3 + (-575)/(-300)). Let m(j) be the second derivative of 3/4*j**3 - 3*j + r*j**2 + 0 + 3/8*j**4 + 3/40*j**5. Let m(c) = 0. Calculate c.
-1
Let b(v) be the first derivative of -7*v**3 + 7*v**2/2 + 4*v + 32. Let g(s) = -11*s**2 + 3*s + 2. Let y(j) = 3*b(j) - 5*g(j). Let y(t) = 0. What is t?
-1/4, 1
Let x(p) be the first derivative of 22*p - 5 + 12*p**2 + 2/3*p**3. Suppose x(j) = 0. What is j?
-11, -1
Let j = 208 + -1455/7. Let g(l) be the first derivative of 5 + 1/14*l**4 + 2/21*l**3 - 2/7*l - j*l**2. What is k in g(k) = 0?
-1, 1
Factor 0 + 1/7*y**4 + 0*y + 144/7*y**2 - 24/7*y**3.
y**2*(y - 12)**2/7
Factor -7*d**2 - 10*d - 722 - 5*d**2 - 66*d + 10*d**2.
-2*(d + 19)**2
Let g(m) be the first derivative of -65*m**6/18 + 4*m**5/3 + 149. Factor g(b).
-5*b**4*(13*b - 4)/3
Let c(j) be the second derivative of 9*j + 1/96*j**4 + 0 - 1/336*j**7 + 0*j**2 - 3/160*j**5 + 0*j**3 + 1/80*j**6. Find f such that c(f) = 0.
0, 1
Let p = -5/211 + 8485/1899. Suppose 0*j + 8/9*j**2 + 0 + 46/9*j**4 + 14/9*j**5 + p*j**3 = 0. What is j?
-2, -1, -2/7, 0
Factor -62*z**2 - 4*z**4 - 4*z + 0 + 127/4*z**3.
-z*(z - 4)**2*(16*z + 1)/4
Determine o so that 284*o**3 + 834*o**4 + 928*o**4 - 76*o - 44*o**5 - 36*o**2 - 1858*o**4 - 20*o**5 - 12 = 0.
-3, -1/4, 1
Let q(k) be the third derivative of 25*k**8/336 - k**7/42 - 64*k**2. Factor q(t).
5*t**4*(5*t - 1)
Let v(q) = -q**3 + 11*q**2 - 5*q - 5. Let m = 79 + -72. Let l(h) = -2*h**3 + 16*h**2 - 7*h - 7. Let y(o) = m*v(o) - 5*l(o). Determine s, given that y(s) = 0.
0, 1
Let n(y) be the third derivative of y**8/336 - y**7/42 + 7*y**6/120 + y**5/60 - y**4/3 + 2*y**3/3 + 122*y**2. Suppose n(j) = 0. What is j?
-1, 1, 2
Let f(d) = -9*d**2 - 31*d - 72. Let l(o) = 5*o**2 + 16*o + 36. Suppose u - 2*u = -4*k + 27, 2*u + 9 = -k. Let x(s) = u*l(s) - 4*f(s). Find y such that x(y) = 0.
-6
Let r = 344 - 193. Factor -2*o**2 - r*o + 147*o + 3 + 3.
-2*(o - 1)*(o + 3)
Let p be (0 - 2)*16/64*-1. Find y such that -7/2*y + p*y**4 + 1 + 9/2*y**2 - 5/2*y**3 = 0.
1, 2
Let l be (1 + 0)*(-1 + 1). Factor -15*u**2 + l*u + 3*u - 8*u.
-5*u*(3*u + 1)
Let t = -390 + 394. Let i(l) be the second derivative of 0 + 7*l - 9/10*l**5 + 7/6*l**t - 2/3*l**3 - 1/21*l**7 + 0*l**2 + 1/3*l**6. Find j, given that i(j) = 0.
0, 1, 2
Let j(u) be the first derivative of -343*u**4/12 - 196*u**3/3 - 56*u**2 - 64*u/3 + 56. Factor j(g).
-(7*g + 4)**3/3
Let c(a) = 0*a**2 + 6*a - 1 + 8*a - 6*a**2 - 7*a. Let q(h) be the first derivative of -h**3 + 3*h**2/2 - 4. Let m(p) = 3*c(p) - 5*q(p). Factor m(s).
-3*(s - 1)**2
Solve -2/3*l + 1/3*l**4 + 5/3*l**2 - 4/3*l**3 + 0 = 0.
0, 1, 2
Factor 2400*m + 315/2*m**2 - 2560 + 5/2*m**3.
5*(m - 1)*(m + 32)**2/2
Factor 2*q**2 + 20*q**4 + 20*q**3 - 18*q**2 - 32*q + 4*q**3 + 4*q**5 + 5 - 5.
4*q*(q - 1)*(q + 2)**3
Let t(w) be the third derivative of 1/45*w**5 + 0*w + 0 + 0*w**4 + 0*w**3 - 1/315*w**7 - 1/180*w**6 - 5*w**2. Factor t(a).
-2*a**2*(a - 1)*(a + 2)/3
Factor 33*s**4 - 7*s - 38*s**4 + 2*s + 5*s**3 + 5*s**2.
-5*s*(s - 1)**2*(s + 1)
Let g(m) be the first derivative of 1/5*m - 1/10*m**2 - 1/30*m**6 + 1/25*m**5 + 13 + 1/10*m**4 - 2/15*m**3. Factor g(k).
-(k - 1)**3*(k + 1)**2/5
Let f = 67 - 70. Let z be ((-6)/28)/(f - 3/(-2)). Factor 0*t - 2/7*t**2 - z*t**3 + 0.
-t**2*(t + 2)/7
Let j(d) be the first derivative of 15*d**6/4 + 21*d**5/10 - 141*d**4/8 + 9*d**3/2 + 15*d**2 - 6*d + 251. Find y, given that j(y) = 0.
-2, -2/3, 1/5, 1
Suppose 0 = 3*b - 3, 0 = -y - b + 5*b. Suppose -7*j = -2*j - 4*x, 3*j + x = 0. Factor 1/6*k + 0 + j*k**y - 1/3*k**3 + 0*k**2 + 1/6*k**5.
k*(k - 1)**2*(k + 1)**2/6
Suppose -468/7*l - 2/7*l**2 - 27378/7 = 0. What is l?
-117
Let t(b) be the first derivative of 1/7*b**2 - 1/21*b**3 - 1 - 1/7*b. Let t(r) = 0. Calculate r.
1
Suppose 30*q - 35*q + 5370 = 0. Find s, given that -4*s**3 + q*s - 6 - 1083*s + 7*s**3 = 0.
-1, 2
Let n(m) = -8*m**3 - 9*m**2 + 7*m + 7. Let r(o) = 7*o**3 + 8*o**2 - 6*o - 6. Let t(l) = 6*n(l) + 7*r(l). Factor t(b).
b**2*(b + 2)
Let d = 14 - 12. Let p = -8 - -11. Factor 4*m**p - 4*m + 6 - 4*m**2 + 2 - 2 - d.
4*(m - 1)**2*(m + 1)
Let q(a) = 9*a**4 + 20*a**3 - 11*a**2 - 50*a + 44. Let g(h) = 19*h**4 + 40*h**3 - 21*h**2 - 100*h + 89. Let o(j) = -4*g(j) + 9*q(j). Let o(t) = 0. Calculate t.
-4, -2, 1
Suppose 0 = -20*a - 51 + 111. Determine p so that 0*p**2 - 1/5*p + 1/5*p**a + 0 = 0.
-1, 0, 1
Let n(s) be the first derivative of 9*s + 1/3*s**3 - 4 + 0*s**2 + 1/3*s**4 + 1/10*s**5. Let y(g) be the first derivative of n(g). What is d in y(d) = 0?
-1, 0
Suppose 6*h = -2*h + 24. Solve 17*z**2 - 25*z**2 + 0*z**3 - 2*z**h - 8*z = 0.
-2, 0
Let f(c) be the third derivative of c**10/37800 + c**9/5040 - c**7/315 + 2*c**5/15 + 3*c**2. Let t(b) be the third derivative of f(b). What is j in t(j) = 0?
-2, 0, 1
Determine p so that 5937*p**4 - 8*p**3 - 5934*p**4 - 25*p**3 + 54*p**2 = 0.
0, 2, 9
Let j be (-5 - -3)*(-12)/(-8). Let z be ((-2)/(-3))/(j/(-243)). Suppose -62 - 52*v + 12*v**3 - v**4 + 160*v - 19 - z*v**2 = 0. Calculate v.
3
Factor -3*l**2 - 2*l**2 - 21 + 30*l + 64 + 37.
-5*(l - 8)*(l + 2)
Let r(g) be the second derivative of g**4/3 - 100*g**3/3 + 1250*g**2 + 50*g. Factor r(h).
4*(h - 25)**2
Let k(n) be the first derivative of -n**6/3 - 152*n**5/15 - 227*n**4/6 - 100*n**3/3 + 92*n**2/3 + 176*n/3 - 554. Determine l so that k(l) = 0.
-22, -2, -1, 2/3
Let j(l) be the second derivative of -4/75*l**6 + 3/25*l**5 + 1/15*l**3 + 0 + 0*l**2 + 16*l - 2/15*l**4 + 1/105*l**7. Find m, given that j(m) = 0.
0, 1
Let g(o) be the third derivative of o**7/630 + 2*o**6/45 - 5*o**5/12 + 49*o**4/36 - 20*o**3/9 - 663*o**2. Find m such that g(m) = 0.
-20, 1, 2
Let h(s) be the third derivative of -s**5/330 + s**4/44 - 2*s**2 + 5. Suppose h(j) = 0. Calculate j.
0, 3
Let q(d) be the first derivative of 6/7*d - 6/35*d**5 + 0*d**3 + 15/28*d**4 - 9 - 15/14*d**2. Find r, given that q(r) = 0.
-1, 1/2, 1, 2
Suppose 3*h + 4*l = 0, h + h = 4*l + 20. Determine s, given that 3*s**2 + 9*s**h + 140 - 140 - 12*s**3 = 0.
0, 1/3, 1
Let s be (-2)/15 + 231/45. Let h(d) be the first derivative of 0*d + 7 - 4/15*d**s - 8/9*d**3 - 4/9*d**2 - 13/18*d**4 - 1/27*d**6. Factor h(p).
-2*p*(p + 1)**2*(p + 2)**2/9
Let j(b) be the first derivative of -b**6/8 - 9*b**5/20 + 21*b**4/16 + 15*b**3/4 - 27*b**2/4 - 90. Solve j(k) = 0.
-3, 0, 1, 2
Let r(n) be the second derivative of n**7/18 + 13*n**6/18 - n**5/20 - 181*n**4/36 + 38*n**3/9 + 6*n**2 + 577*n. Suppose r(z) = 0. What is z?
-9, -2, -2/7, 1
Let o(d) be the third derivative of d**7/70 - 19*d**6/8 + 279*d**5/20 - 277*d**4/8 + 46*d**3 + 54*d**2 - 2. Factor o(f).
3*(f - 92)*(f - 1)**3
Suppose 18*z = 89*z + 16*z - 174. Factor 0 - w**z + 1/3*w**4 + 2/3*w + 0*w**3.
w*(w - 1)**2*(w + 2)/3
Let t = 137/320 + 11/64. Factor 3/5*f + 3/5 - t*f**3 - 3/5*f**2.
-3*(f - 1)*(f + 1)**2/5
Let a(b) = -3*b. Let v(i) = -5*i**2. Let t(f) = -14*f**2 + f. Let d(q) = -4*t(q) + 11*v(q). Let g(u) = -3*a(u) + 3*d(u). Factor g(m).
3*m*(m - 1)
Let c(z) = 2*z**3 - 5*z. Let n(f) = -f**3 + f**2 + f. Let o(h) = h**2 + 7*h + 7. Let j be o(-6). Let r(l) = j*c(l) + 3*n(l). Find s, given that r(s) = 0.
0, 1, 2
Let u be -7 + (-1)/(44/(-14) + 3). Factor u + 0*n**2 - 1/4*n + 1/4*n**3.
n*(n - 1)*(n + 1)/4
Let y(j) be the first derivative of -j**6/540 - j**5/90 + j**4/12 - 4*j**3/3 + 16. Let t(d) be the third derivative of y(d). Determine u so that t(u) = 0.
-3, 1
Let n(w) = -3*w**5 - 7*w**4 + 103*w**3 - 227*w**2 + 173*