 = 4*j - b, z*j - 148 = -3*b. Let -2*a + j*a**3 + 9 - 26*a**3 + 26*a + 22*a**2 + a**4 = 0. Calculate a.
-3, -1
Let c be 1/(-14)*(-9 + 6). Let w(y) be the second derivative of -2*y + 1/2*y**4 + 0*y**2 - 2/5*y**6 + 3/4*y**5 + 0*y**3 + 0 - c*y**7. Solve w(m) = 0.
-2, -1/3, 0, 1
Let d(h) be the second derivative of -5*h**4/12 - 5*h**3 + 35*h**2/2 + 4*h + 10. Factor d(l).
-5*(l - 1)*(l + 7)
Suppose -18*x - 19 = -91. Let q(j) be the third derivative of 0 + 1/30*j**x - 1/60*j**6 + 0*j**3 + 1/50*j**5 + 8*j**2 + 0*j. Factor q(b).
-2*b*(b - 1)*(5*b + 2)/5
Let l = 35 + -33. Suppose -l - 50*w - 5*w**3 - 4 + w**2 + 5 + 55*w = 0. Calculate w.
-1, 1/5, 1
Let m(a) be the third derivative of -a**6/600 + a**5/300 + a**4/10 - 2*a**2 - 4. Factor m(q).
-q*(q - 4)*(q + 3)/5
Let n(c) be the third derivative of -5*c**8/336 + 2*c**7/21 - c**6/24 - c**5/2 + c**2 - 29*c. Find f such that n(f) = 0.
-1, 0, 2, 3
Let a(w) = w**3 + 41*w**2 - 703*w - 54. Let d be a(-54). Factor d*v**2 - 2/17*v**3 + 0*v + 0 - 2/17*v**4.
-2*v**3*(v + 1)/17
Let -3/7*w**4 - 12*w + 12/7*w**3 + 45/7 + 30/7*w**2 = 0. What is w?
-3, 1, 5
Let k(p) be the second derivative of 39*p**5/100 + 27*p**4/20 + 3*p**3/2 + 3*p**2/10 + 145*p. Determine c so that k(c) = 0.
-1, -1/13
Let s(u) be the first derivative of -2*u**5/35 - 2*u**4/7 - 4*u**3/7 - 4*u**2/7 - 2*u/7 - 337. Factor s(l).
-2*(l + 1)**4/7
Determine o, given that 123/7*o - 3/7*o**3 + 9 + 57/7*o**2 = 0.
-1, 21
Let a(w) be the second derivative of -w**7/147 + w**6/21 + w**5/14 - 25*w**4/42 - 40*w**3/21 - 16*w**2/7 + 131*w. Factor a(t).
-2*(t - 4)**2*(t + 1)**3/7
Let w(n) be the second derivative of 0 + 4/3*n**3 - 2/15*n**6 - 2/5*n**5 + 20*n + 2*n**2 + 0*n**4. Factor w(k).
-4*(k - 1)*(k + 1)**3
Let c be 18 + 1*(-3 - 0). Suppose -w + 0*w - 11 = -3*o, -c = -3*o + 3*w. Factor o*s**2 - 2 - 6 - 3*s + 8.
3*s*(s - 1)
Let c(z) be the third derivative of z**6/360 - 2*z**5/45 + 19*z**4/72 - 2*z**3/3 - 271*z**2. Solve c(n) = 0 for n.
1, 3, 4
Let d(g) = -4*g + 18. Let c be d(-7). Let z = -44 + c. What is l in -35/2*l**3 - 17/2*l**2 - 23/2*l**4 - 5/2*l**5 + z + 2*l = 0?
-2, -1, 2/5
Let x(b) = -60*b + 240. Let z be x(4). Factor z*c**3 + 3/4*c**4 - 3/2*c**2 + 3/4 + 0*c.
3*(c - 1)**2*(c + 1)**2/4
Factor -3840*d + 128*d**2 + 113*d**2 - d**2 + 18026 - 5*d**3 + 2454.
-5*(d - 16)**3
Factor 0 + 1/5*z**3 - 6/5*z + 7/5*z**2 - 2/5*z**4.
-z*(z - 1)*(z + 2)*(2*z - 3)/5
Let w = -20 + 26. Suppose -w*d + 3*d = -s + 3, s - 2*d = 2. Determine l, given that 2/3*l**2 + s + 0*l = 0.
0
Let m(q) = 5*q**3 - 7*q**2 + 4*q + 16. Let y(d) = -d**3 + d**2 - 2. Let c(w) = -m(w) - 6*y(w). Factor c(t).
(t - 2)*(t + 1)*(t + 2)
Let k = -676/9 + 697/9. Let h(p) be the first derivative of -1/4*p**4 - 4*p**2 + k*p**3 - 16*p + 6. What is c in h(c) = 0?
-1, 4
Let t be (1/(-4))/(3/(-108)). Factor 18*s**2 + 39*s - 75 - t*s - 21*s**2.
-3*(s - 5)**2
Let d(l) be the second derivative of -l**6/10 - 3*l**5/5 + 3*l**4/4 + 9*l**3 + 79*l. Let d(w) = 0. Calculate w.
-3, 0, 2
Let u(f) be the second derivative of -5*f**7/98 - 11*f**6/70 - 3*f**5/20 - f**4/28 + 12*f - 15. Factor u(p).
-3*p**2*(p + 1)**2*(5*p + 1)/7
Factor -7/4 + 3*r**2 - 17/4*r.
(3*r + 1)*(4*r - 7)/4
Let c(s) be the first derivative of 4 + 0*s**2 + s - 1/3*s**3. Factor c(u).
-(u - 1)*(u + 1)
Determine x, given that 77 - 135*x**2 - 159 - 75*x + 72 = 0.
-1/3, -2/9
Let k(i) be the first derivative of i**3/6 - 11*i**2/2 + 121*i/2 + 196. Solve k(r) = 0.
11
Find j such that -6/5*j + 2/5*j**2 - 4 = 0.
-2, 5
Factor 5/3*n**2 - 3*n**4 + 0 + 1/3*n + n**3.
-n*(n - 1)*(3*n + 1)**2/3
Let j = -5728/3 + 1912. Let z be 1/(-12) - 9/(-12). Factor -j - 2*a + z*a**2.
2*(a - 4)*(a + 1)/3
Let z = 13076 - 13073. Factor 10/3*d**2 - 16/3*d - 2/3*d**z + 8/3.
-2*(d - 2)**2*(d - 1)/3
Let v be (-145)/87 + (-1)/((-1)/2). Let p(a) be the second derivative of 1/15*a**6 - 5*a - v*a**4 + 0*a**3 - 1/10*a**5 + 0 + 0*a**2. Factor p(c).
2*c**2*(c - 2)*(c + 1)
Let q = 1018/39 - 270/13. Let g = -3543 + 10661/3. Factor 2/3*n**2 + g + q*n.
2*(n + 4)**2/3
Let r = -1 - -3. Suppose -4*l + 0 = -4*g - 4, -r*g = 5*l - 19. Factor 1/5*u + 2/5*u**3 + 3/5*u**g + 0.
u*(u + 1)*(2*u + 1)/5
Suppose -15*v - 3*w = -10*v - 9, v = w - 3. Factor 4/7*r**2 + v + 8/7*r.
4*r*(r + 2)/7
Let v be (25 + -16)/(3 - 0). Factor 10*m**2 + 20*m + m**2 + 2*m**2 + 4 + v*m**2.
4*(m + 1)*(4*m + 1)
Let c(p) be the first derivative of p**6/33 + 18*p**5/55 + 12*p**4/11 + 32*p**3/33 + 223. Factor c(h).
2*h**2*(h + 1)*(h + 4)**2/11
Let n = 2293/20 - 229/2. Let r(x) be the third derivative of 2/25*x**5 + 0 + n*x**4 + 1/75*x**6 - 3*x**2 + 0*x + 2/15*x**3. Factor r(a).
2*(a + 2)*(2*a + 1)**2/5
Suppose -107*m - 54 = 137*m - 271*m. Determine y so that -3/8*y**m + 3/8 + 0*y = 0.
-1, 1
Let s(o) be the first derivative of 0*o + 19 - 4/7*o**3 - 3/28*o**4 - 9/14*o**2. Factor s(p).
-3*p*(p + 1)*(p + 3)/7
Let z(d) be the third derivative of d**6/72 - d**5/24 - 5*d**4/4 - 4*d**3/3 - 6*d**2. Let x(r) be the first derivative of z(r). Suppose x(l) = 0. What is l?
-2, 3
Let i(h) be the first derivative of 0*h - 7/34*h**4 + 12 + 0*h**2 + 16/85*h**5 + 2/51*h**3 + 16/51*h**6. Factor i(j).
2*j**2*(j + 1)*(4*j - 1)**2/17
Let p(m) be the third derivative of m**7/140 + m**6/80 - 3*m**5/40 - m**4/16 + m**3/2 + 601*m**2. Suppose p(u) = 0. What is u?
-2, -1, 1
Let m(t) be the third derivative of -t**5/135 + 113*t**4/27 - 25538*t**3/27 - 99*t**2 - 3. Factor m(n).
-4*(n - 113)**2/9
Let g be 1/(-6) - (-152)/48. Let t be 1/g - 15/135. Find k, given that 2/9*k**2 - t*k - 4/9 = 0.
-1, 2
Let l(k) be the second derivative of 1/42*k**7 + 0 + 1/4*k**4 + 1/20*k**5 + 0*k**2 - 1/10*k**6 - 1/3*k**3 + 37*k. Factor l(t).
t*(t - 2)*(t - 1)**2*(t + 1)
Let n(w) be the second derivative of 3*w**7/49 + 59*w**6/35 + 128*w**5/35 - 44*w**4/7 - 208*w**3/21 + 144*w**2/7 - 206*w. Find y such that n(y) = 0.
-18, -2, -1, 2/3
Solve -43/4 - 21/2*m + 1/4*m**2 = 0 for m.
-1, 43
Let d(v) = v**3 - 3*v**2 + 2. Let x = -52 - -50. Let w(j) = 2*j**3 - 3*j**2 + 1. Let u(a) = x*w(a) + 3*d(a). Factor u(y).
-(y - 1)*(y + 2)**2
Let o(u) be the second derivative of 1/22*u**4 + 0*u**2 + 26*u + 0 - 1/110*u**5 + 0*u**3. Factor o(n).
-2*n**2*(n - 3)/11
Let m = -3164/5 - -633. Let v(c) be the second derivative of -c**2 + 0 + m*c**5 + 1/9*c**6 - 1/9*c**4 - 5*c + 1/63*c**7 - 7/9*c**3. Factor v(t).
2*(t - 1)*(t + 1)**3*(t + 3)/3
Let -236/3*a**2 - 40/3*a**4 + 2/3*a**5 + 0 - 32*a - 182/3*a**3 = 0. Calculate a.
-2, -1, 0, 24
Determine m, given that -1/4*m**2 - 30 - 13/2*m = 0.
-20, -6
Let t(c) be the third derivative of c**7/1890 + c**6/1080 - c**5/108 + c**4/72 + 8*c**2 + 1. Factor t(d).
d*(d - 1)**2*(d + 3)/9
Suppose -s - 9*s + 30 = 0. Let g(o) be the third derivative of 0*o**s + 4*o**2 - 1/120*o**6 + 0 + 0*o**4 + 2/315*o**7 - 1/180*o**5 + 0*o. Factor g(c).
c**2*(c - 1)*(4*c + 1)/3
Let t = 10367 - 10167. Factor -t*c - 160 - 125/2*c**2.
-5*(5*c + 8)**2/2
Let b(x) be the third derivative of 1/245*x**7 + 0 - 1/56*x**4 - 22*x**2 + 1/56*x**6 + 2*x - 1/14*x**3 + 3/140*x**5. Find p, given that b(p) = 0.
-1, 1/2
Let n(j) be the third derivative of j**6/1440 + j**5/240 - 11*j**3/6 + 3*j**2. Let f(b) be the first derivative of n(b). Factor f(s).
s*(s + 2)/4
Suppose -3*m = 3*a - 2*a - 24, 4*a = -2*m + 86. Let x = a + -17. Factor -4*y**2 - 5*y**3 + y**4 + 5*y**3 + 3*y**x.
4*y**2*(y - 1)*(y + 1)
Suppose 20 = 138*l - 134*l - 2*j, -2*l + 3*j + 18 = 0. What is t in 9/5*t**5 + 3/5*t**l - 6*t**4 + 18/5*t**2 + 0 + 0*t = 0?
-2/3, 0, 1, 3
Let p = 56 - 54. Let z be (p/2)/5 + 0/(-3). Factor -1/5*g**5 + 3/5*g**4 + 3/5*g - 2/5*g**3 - 2/5*g**2 - z.
-(g - 1)**4*(g + 1)/5
Suppose -3*f = -8 - 16. Let u(m) = -m + 12. Let s be u(f). Determine t so that -s*t - 3*t**3 - 3*t**3 + 8*t**2 + 10*t**3 - 8 = 0.
-2, -1, 1
Let q(m) be the second derivative of -m**4/42 - 2*m**3/21 + 46*m. Factor q(u).
-2*u*(u + 2)/7
Suppose 5*b + 0*p = -p + 13, p = -2*b + 4. Factor 102*g - 10*g**3 - 92*g - 10*g**b - 25*g**2 + 15.
-5*(g + 1)**2*(4*g - 3)
Let p(c) = -6*c**2 - 156*c - 114. Let l(j) = 3*j**2 + 79*j + 56. Let t(a) = 9*l(a) + 5*p(a). Let t(y) = 0. Calculate y.
-22, -1
Determine j so that -4/5*j + 14/5*j**2 - 16/5*j**3 + 6/5*j**4 + 0 = 0.
0, 2/3, 1
Suppose -4*a + 8 = 5*j - 1, j - 5*a = 25. Find b such that 4/3*b**3 + 0*b - 4/3*b**j - 4/3*b**4 + 0 + 4/3*b**2 