2 - j**4 + 21*j**2 - 13*j**2 - 737*j**3 + 733*j**3 - 36*j - j**4.
-2*j*(j - 3)*(j - 1)*(j + 6)
Solve -140*t**2 - 31*t + 71*t - 24*t**3 + 8 + 238*t**4 - 16*t**3 - 106*t**2 = 0.
-1, -2/17, 2/7, 1
Let j(t) be the first derivative of -t**3/9 - 103*t**2/6 - 202*t/3 - 788. Factor j(g).
-(g + 2)*(g + 101)/3
Let m(y) = 20*y**2 - 311*y + 1289. Let w(r) = 5*r**2 - 78*r + 322. Let h(c) = 2*m(c) - 9*w(c). Factor h(z).
-5*(z - 8)**2
Let q(o) be the first derivative of 1/7*o + 2/35*o**5 - 13 - 1/14*o**2 - 1/7*o**3 + 1/28*o**4. Factor q(g).
(g - 1)*(g + 1)**2*(2*g - 1)/7
Suppose -3*n + 9 + 33 = 0. Suppose -2*d = -9*d + n. Factor -4/9 - 14/9*w**d + 2*w.
-2*(w - 1)*(7*w - 2)/9
Let w = -837/238 + 2/119. Let j = -3 - w. Factor -j - c**3 + 1/2*c + 1/2*c**5 + c**2 - 1/2*c**4.
(c - 1)**3*(c + 1)**2/2
Suppose 0 + 16/11*j**3 + 10/11*j**4 - 2/11*j**5 + 0*j - 96/11*j**2 = 0. What is j?
-3, 0, 4
Let x(c) be the first derivative of c**4/2 + 20*c**3 - 31*c**2 + 107. Let x(o) = 0. What is o?
-31, 0, 1
Let j(o) be the first derivative of -18*o**6 + 978*o**5/5 - 439*o**4/2 - 320*o**3/3 + 196*o**2 - 64*o - 48. Let j(w) = 0. What is w?
-2/3, 2/9, 1/2, 1, 8
Suppose -21 + 1 = -4*c. Determine q so that 89 + 5*q**2 + c*q + 85*q + 177 + 139 = 0.
-9
Factor 14/3*z - 4/3*z**2 - 2*z**3 - 4/3.
-2*(z - 1)*(z + 2)*(3*z - 1)/3
Let g(x) be the first derivative of -4*x**5/5 + 44*x**3/3 + 36*x**2 + 32*x - 397. What is w in g(w) = 0?
-2, -1, 4
Let a be 7/((-14)/(-12)) + 161/7 + -5. Factor -1/6*y**2 - a - 4*y.
-(y + 12)**2/6
Let q(j) be the first derivative of j**5/20 - 7*j**4/8 + 23*j**3/4 - 35*j**2/2 + 25*j + 34. Let q(b) = 0. What is b?
2, 5
Let n be (-413)/(-133) + -3 + 490/399. Suppose 2/9*z**2 + 0 + 2*z**4 + 0*z - n*z**3 = 0. What is z?
0, 1/3
Let a(k) be the third derivative of k**7/210 + k**6/30 - 2*k**4/3 - 16*k**3/3 + 2*k**2. Let o(l) be the first derivative of a(l). Let o(z) = 0. What is z?
-2, 1
Solve 98/3*q**4 - 2048/3*q + 0 + 266*q**3 + 384*q**2 = 0.
-32/7, 0, 1
Let q(m) = 81*m**4 - 20*m**3 - 75*m**2 + 30*m + 4. Let s(h) = -162*h**4 + 41*h**3 + 150*h**2 - 61*h - 8. Let b(l) = 15*q(l) + 6*s(l). Solve b(p) = 0 for p.
-1, -1/9, 2/3
Let y(k) be the first derivative of k**7/63 - 2*k**6/45 + k**4/9 - k**3/9 + 11*k + 19. Let d(a) be the first derivative of y(a). Find w such that d(w) = 0.
-1, 0, 1
Factor 31323*u**3 - 382*u**5 + 387960 + 405600*u + 197376 + 528*u**4 + 795348*u + 385*u**5 + 646410*u**2.
3*(u + 1)**2*(u + 58)**3
Let f(v) be the first derivative of -1/10*v**4 - 19 - 4/5*v - v**2 - 8/15*v**3. Factor f(q).
-2*(q + 1)**2*(q + 2)/5
Let n be (12/9)/(2/3). Let i be n/(-7) + -2 + 40/14. Solve -i - 6/7*l + 10/7*l**2 = 0.
-2/5, 1
Let k = -1244 + 1244. Let c(f) be the third derivative of 0 + k*f - 1/3*f**3 - 1/15*f**5 + 1/120*f**6 + 5/24*f**4 + 12*f**2. Suppose c(z) = 0. Calculate z.
1, 2
Solve -154/3*m**3 - 106/9*m**4 + 18 - m**5 - 57*m - 96*m**2 = 0 for m.
-3, 2/9
Let m(y) be the first derivative of -y**5 - 25*y**4/4 - 5*y**3 + 25*y**2/2 + 20*y + 280. What is o in m(o) = 0?
-4, -1, 1
Let f(k) = 12*k + 192. Let y be f(-16). Let w(l) be the first derivative of 1 + 1/10*l**5 + 1/18*l**3 + 0*l + y*l**2 - 1/36*l**6 - 1/8*l**4. Factor w(g).
-g**2*(g - 1)**3/6
Let k = -7 + 10. Let h(r) = 5*r**k + 0*r**3 + r**3 - r - 7*r**2 + 2 - 3*r. Let t(v) = -5*v**3 + 6*v**2 + 3*v - 2. Let w(j) = 6*h(j) + 7*t(j). Factor w(z).
(z - 2)*(z + 1)**2
Let c = -1490/7 - -1522/7. Let u(g) be the first derivative of 4/7*g**4 - 2/35*g**5 - 16/7*g**3 + c*g**2 - 5 - 32/7*g. Determine m so that u(m) = 0.
2
Let d(w) be the third derivative of 1/4*w**4 + 0 - 5/3*w**3 + 1/300*w**6 + 2*w**2 + 3/50*w**5 + 0*w. Find c such that d(c) = 0.
-5, 1
Let x(p) = -p - 1 + 0*p - p**3 + 0*p**3. Let i(y) = 22*y**5 - 92*y**4 - 29*y**3 + 272*y**2 + 149*y - 37. Let h(r) = i(r) - x(r). Let h(v) = 0. Calculate v.
-1, 2/11, 3
Let f(v) be the third derivative of 19*v**5/60 - 3*v**4/2 + 31*v**3/6 - 2*v**2 - 5*v. Let b(a) = 13*a**2 - 24*a + 21. Let p(z) = -7*b(z) + 5*f(z). Factor p(x).
4*(x - 2)*(x - 1)
Let p(i) = 7*i**3 + i**2 + i - 9. Let f(n) = -2*n**3 + n**2 - n. Let j(d) = 4*f(d) + p(d). Suppose j(c) = 0. Calculate c.
-1, 3
Let x(r) = 2*r**2 + 12*r + 8. Let l be x(-6). Suppose 2*c - 2 = 2*i, c - l = -i - c. Solve -1/2 - 1/4*m**i + 3/4*m = 0 for m.
1, 2
Let g(q) be the first derivative of 10/3*q**3 + 12*q**2 + 8*q - 27. Factor g(l).
2*(l + 2)*(5*l + 2)
Let 60*l**2 + 4*l**4 + 33*l + 6*l - 102*l + 68*l**3 - 64 + 29*l - 34*l = 0. What is l?
-16, -1, 1
Let y(b) = -b**3 - 3*b**2 + b + 5. Let z be y(-3). Factor -48*r**2 + 47*r**z - 6*r - r - r.
-r*(r + 8)
Let l = 13571 - 203561/15. Factor l*f + 2/15 + 2/15*f**2.
2*(f + 1)**2/15
Let -6*j**3 - 5*j**3 - 3*j + 12 + 3*j**4 + 5*j**3 + 15*j - 9*j**2 = 0. What is j?
-1, 2
Let g(y) be the first derivative of y**5 + 5*y**4/4 - 20*y**3 - 70*y**2 - 80*y - 248. Find p such that g(p) = 0.
-2, -1, 4
Suppose 4*x - 53 = 19. Suppose 12 = 11*a - 21. Factor -12*c + 0 + 2 - x*c**2 - a*c**4 - 9*c**3 - 3*c**3 - 5.
-3*(c + 1)**4
Let i(t) be the third derivative of 16*t**7/105 - 11*t**6/15 + 9*t**5/10 - 25*t**4/48 + t**3/6 - 42*t**2 - 2*t. What is m in i(m) = 0?
1/4, 2
Let a be -4 + 8 - -1 - -1. Suppose 3*y - a*w = -2*w + 69, 5*y - 2*w - 129 = 0. What is c in -3/2 - 6*c**3 - y*c**2 - 99/8*c = 0?
-4, -1/4
Let q(u) be the third derivative of -3*u**7/245 + 41*u**6/420 - 26*u**5/105 + u**4/21 + 16*u**3/21 + 2*u**2 + 18*u. What is k in q(k) = 0?
-4/9, 1, 2
Let c(m) = 9*m**2 - 4. Let z(u) be the third derivative of 2*u**5/15 - 2*u**3/3 - 2*u**2. Let n(l) = 4*c(l) - 5*z(l). Factor n(g).
-4*(g - 1)*(g + 1)
Let s(d) be the second derivative of d**6/45 + 7*d**5/15 + 65*d**4/18 + 100*d**3/9 - 104*d. Solve s(u) = 0.
-5, -4, 0
Let i be (-42)/30*(-146)/(-1). Let a = 205 + i. Factor 1/5*k - 1/5*k**4 + a*k**3 - 3/5*k**2 + 0.
-k*(k - 1)**3/5
Factor 0 + 0*y + 1/3*y**3 - 2/3*y**2.
y**2*(y - 2)/3
Let v(j) be the first derivative of j**4/18 + 2*j**3/3 - 4*j**2 + 327. Factor v(x).
2*x*(x - 3)*(x + 12)/9
Suppose -128*l + 139*l - 66 = 0. Let z be ((-42)/35)/((l/2)/(-1)). Suppose -z*k + 1/5*k**2 + 0 = 0. Calculate k.
0, 2
Let t(z) be the first derivative of -z**4/4 - 3*z**3/2 - 3*z**2 - 7*z + 5. Let x(n) be the first derivative of t(n). Let x(j) = 0. Calculate j.
-2, -1
Let j(a) be the first derivative of a**8/3920 - a**7/1960 - a**6/840 + a**5/280 + 19*a**3/3 + 6. Let b(k) be the third derivative of j(k). Factor b(w).
3*w*(w - 1)**2*(w + 1)/7
Let c = 53 + -51. Factor 12*z**3 + z**3 + 0*z**c + 7*z**3 - 5*z**2.
5*z**2*(4*z - 1)
Let a(l) be the second derivative of -l**4/12 - 23*l**3/6 - 21*l**2 - 220*l. Factor a(j).
-(j + 2)*(j + 21)
Suppose -3*x + 4 = -x. Suppose 0 = -x*t - 0*t + 8. Factor -t + 0*q + 7*q + 2*q**2 - q - 4*q**2.
-2*(q - 2)*(q - 1)
Let o(i) = i**2 + 24*i + 63. Let z be o(-21). Determine u so that -2/5*u**2 + z - 4/15*u + 2/3*u**3 = 0.
-2/5, 0, 1
Factor 9/4 - 1/4*i - 9/4*i**2 + 1/4*i**3.
(i - 9)*(i - 1)*(i + 1)/4
Let y(z) = -z + 5. Suppose 7*j = 5*j - 12. Let h be y(j). Determine a, given that -4 - 17*a + 21*a**3 - h*a**3 - 6*a**2 - a + 18*a**3 = 0.
-1/2, -2/7, 1
Suppose 0 = 4*c + 3*m - 9, 0 = 4*c - 5*m - 7 - 42. Let z(b) be the first derivative of -2*b**2 + 8*b + b**4 + c - 8/3*b**3. Let z(u) = 0. Calculate u.
-1, 1, 2
Suppose -4608/5 - 192/5*z - 2/5*z**2 = 0. What is z?
-48
Let p = -22139 - -22141. Factor 5/2*f**3 + 3*f**p + 1/2*f**4 - 2*f - 4.
(f - 1)*(f + 2)**3/2
Find r such that -4*r**2 - 30 - 2*r**2 + 0*r**2 + 8*r**2 - 4*r = 0.
-3, 5
Suppose -8*u = -3*u - 15. Let h(p) be the first derivative of 2/13*p - 1/13*p**2 + 5 + 1/26*p**4 - 2/39*p**u. Factor h(t).
2*(t - 1)**2*(t + 1)/13
Let t = 203 - 206. Let q be (-78)/(-72) - t/(-9). Suppose q*w**3 + 3/4 + 9/4*w**2 + 9/4*w = 0. Calculate w.
-1
Let r be (-42)/(-12)*(-2 - -16). Let a = -49 + r. Solve 0 - 1/2*v**3 + 1/2*v + a*v**2 = 0.
-1, 0, 1
Let c be 522/812*(-2)/(-3). Factor -6/7*a**2 + c*a - 3/7*a**3 + 6/7.
-3*(a - 1)*(a + 1)*(a + 2)/7
Let g(k) be the third derivative of k**7/210 - 7*k**6/120 + 3*k**5/10 - 5*k**4/6 + 4*k**3/3 + 5*k**2. Factor g(o).
(o - 2)**3*(o - 1)
Let q(z) = -z**3 + 73*z**2 + 16*z - 1168. Let f be q(73). Factor 4*j - 1/3*j**2 + f.
-j*(j - 12)/3
What is y in 18308 - 18308 - 3*y**3 - 24*y**2 = 0?
-8, 0
Let r(v) be the second derivative of 5*v**3/6 - 23*v**2/