*2.
p*(p - 4)*(p - 1)/3
Let x be 0/((16 - 22) + -3). Let c(r) be the second derivative of 3*r**3 + x + 4*r**2 + r**4 + 6*r + 1/10*r**5. Factor c(j).
2*(j + 1)**2*(j + 4)
Let z(f) be the third derivative of 0 - 1/60*f**4 + 154*f**2 - 1/1575*f**7 + 1/300*f**6 + 0*f + 1/450*f**5 + 0*f**3. Solve z(s) = 0.
-1, 0, 1, 3
Find a such that -220/3*a**4 - 6*a**5 - 1936/3*a**2 - 512*a - 328*a**3 - 256/3 = 0.
-4, -2, -2/9
Factor -60 - 238*d**2 + 19*d - d + 16*d + 236*d**2.
-2*(d - 15)*(d - 2)
Let w(m) be the first derivative of m**3/3 + 5*m**2/4 - 6*m - 6430. Let w(n) = 0. What is n?
-4, 3/2
Let i(p) be the first derivative of 3*p**5/5 - 9*p**4/4 - 18. Factor i(v).
3*v**3*(v - 3)
Suppose -29 = -5*j + 3*l, 0 = 7*j - 40865*l + 40870*l - 13. Factor 146/3*a**2 + 406/3*a**j + 138*a**3 + 4/3*a + 0 + 134/3*a**5.
2*a*(a + 1)**3*(67*a + 2)/3
Let 5/2*g**2 + g - 1/4*g**3 - 1/4*g**5 - g**4 - 2 = 0. Calculate g.
-2, 1
Let u(k) = 7*k**2 + 120*k + 7. Let y be u(-17). Let x be (y + (-81)/(-6))*2/28. Let x*d + 1/4*d**2 - 3/2 = 0. Calculate d.
-3, 2
Let h(i) = 9*i**3 + 36*i**2 + 165*i + 258. Let k(s) = -s**3 + s**2 + 2*s - 8. Let n(v) = h(v) + 6*k(v). Find b, given that n(b) = 0.
-7, -5, -2
Let c(o) be the first derivative of -o**5/25 - 17*o**4/10 - 32*o**3/15 + 17*o**2/5 + 33*o/5 + 842. Solve c(p) = 0.
-33, -1, 1
Suppose 397*l - 152*l - 490 = 0. Let z(x) be the second derivative of -1/4*x**5 - 25/2*x**l + 15/2*x**3 + 0 + 15*x - 5/4*x**4. Factor z(r).
-5*(r - 1)**2*(r + 5)
Factor 285/4*s + 35/4*s**2 + 70.
5*(s + 7)*(7*s + 8)/4
Find b such that -1328/11 + 668/11*b - 2/11*b**2 = 0.
2, 332
Suppose -w + 230 = 5*l - 5*w, 0 = -5*l - 3*w + 195. Find q such that -l*q**5 - 9*q - 12 - 28*q + 102*q**3 + 51*q**4 - 23*q - 39*q**2 = 0.
-1, -1/2, -2/7, 1, 2
Let j(t) be the first derivative of 0*t + 17 - 5*t**2 + 1/200*t**6 + 1/50*t**5 - 1/40*t**4 - 1/5*t**3. Let g(y) be the second derivative of j(y). Factor g(l).
3*(l - 1)*(l + 1)*(l + 2)/5
Let l = -24 + 26. Let n be (-434)/(-42) - l/(-3). Let 4*p**3 - 2*p + p**2 - 8 + n + 7*p**2 - 2*p**5 - 4*p**4 - 7 = 0. Calculate p.
-2, -1, 1
Factor -7*f - 6/7 - 8/7*f**2.
-(f + 6)*(8*f + 1)/7
Let b(q) be the third derivative of q**6/40 + 133*q**5/10 + 157*q**2. Factor b(p).
3*p**2*(p + 266)
Suppose -16*q - 10*q + 364 = 0. Factor -42*z**3 + 17*z**3 - 141*z - 123*z**2 - q*z**3 - 54 - 3*z**4.
-3*(z + 1)**2*(z + 2)*(z + 9)
Factor 2*v**2 - 7*v**2 - 2864*v + 6*v**2 - 512656 - 5*v**2.
-4*(v + 358)**2
Let s(w) = 15*w**4 - 30*w**3 - 18*w**2 + 16*w - 11. Let n(j) = -j**4 - 6*j**3 - j**2 - j - 5. Let k(f) = -2*n(f) + s(f). Factor k(i).
(i - 1)**2*(i + 1)*(17*i - 1)
Let m(j) be the third derivative of 25 - 1/70*j**7 - j**3 + 0*j - 9/20*j**5 - 2*j**2 + 7/8*j**4 + 1/8*j**6. Suppose m(d) = 0. What is d?
1, 2
Let y(f) be the second derivative of 5/18*f**5 - 30 + f - 9*f**2 + 31/3*f**3 - 85/18*f**4. What is b in y(b) = 0?
3/5, 9
Let t(f) be the third derivative of -f**6/480 + 47*f**5/120 + 197*f**4/32 + 75*f**3/2 + 67*f**2 + 4. Find w such that t(w) = 0.
-3, 100
Determine v so that -739/2*v - 184*v**2 - 185 + 1/2*v**3 = 0.
-1, 370
Let g = 13729/70895 + 90/14179. Solve 1/5 + 1/5*y**3 - 1/5*y - g*y**2 = 0 for y.
-1, 1
Let b(p) = 77757*p**2 - 2856*p + 39. Let v(s) = -155515*s**2 + 5719*s - 76. Let u(t) = -11*b(t) - 6*v(t). Factor u(f).
3*(161*f - 3)**2
Let t be (-2 + 33976/17004)*96302/(-12). Let f = 12/1417 + t. Let 2/9*q**5 - 20/9*q**4 + 76/9*q**3 + 38/3*q - f*q**2 - 4 = 0. What is q?
1, 2, 3
Let s(h) be the first derivative of h**5/60 - 5*h**4/24 + h**2/2 - 39*h + 18. Let n(r) be the second derivative of s(r). Find c, given that n(c) = 0.
0, 5
Let s(n) be the first derivative of -7/22*n**2 - 1/33*n**3 - 6/11*n - 25. Solve s(o) = 0 for o.
-6, -1
Let l(j) be the second derivative of -153*j + 5*j**3 + 0 + 15/2*j**5 + 7/6*j**6 + 0*j**2 + 145/12*j**4. What is k in l(k) = 0?
-3, -1, -2/7, 0
Let -232/9 + 26*i - 2/9*i**2 = 0. Calculate i.
1, 116
Factor -72*q**3 + 121*q**5 - 336*q - 36 - 264*q**2 - 239*q**5 + 121*q**5 + 3*q**4 - 108.
3*(q - 6)*(q + 1)*(q + 2)**3
Let z(g) be the third derivative of -4/525*g**7 + 0 + 82*g**2 - 1/840*g**8 + 0*g**5 + 0*g**4 + 0*g**3 + 0*g - 1/100*g**6. Factor z(y).
-2*y**3*(y + 1)*(y + 3)/5
Let u be ((-1)/(-3))/(13/195). Solve 10*j**4 - 3*j**u - 2*j**5 + 0*j**3 - 42*j - 20*j**2 + 15*j**3 + 22*j = 0.
-1, 0, 2
Let v(x) = x**2 - 205*x - 9513. Let n be v(-39). Find o such that 11*o - 16/3 + 1/3*o**n - 6*o**2 = 0.
1, 16
Let k(s) = -4*s**2 - 8*s + 28. Let j(q) = 9*q**2 + 15*q - 56. Let z = -165 + 170. Let i(n) = z*k(n) + 2*j(n). Factor i(v).
-2*(v - 2)*(v + 7)
Let b(c) be the second derivative of c**5/90 + 11*c**4/18 + 13*c**3 + 135*c**2 - 755*c. Factor b(q).
2*(q + 9)**2*(q + 15)/9
Factor -4469*j + 3*j**2 + 394*j - 6*j**2 + 2356*j.
-3*j*(j + 573)
Let h(o) be the third derivative of 0*o**3 + 1/360*o**5 - 167*o**2 - 7/72*o**4 + 0 + 0*o. Solve h(x) = 0 for x.
0, 14
Let i be 340109/20823 - (1/3 + (-94)/(-6)). Determine j so that 5 + 14/3*j - i*j**2 = 0.
-1, 15
Let o(b) be the first derivative of -b**6/12 + 9*b**5/10 - 15*b**4/8 + 7*b**3/6 - 667. Factor o(v).
-v**2*(v - 7)*(v - 1)**2/2
Let l = -4754 + 4758. Let h(i) be the third derivative of -i**2 + 0*i - 1/9*i**3 - 1/360*i**5 + 5/144*i**l + 0. Let h(g) = 0. What is g?
1, 4
Let p = 468 - 464. Suppose l = -3*l - p*b + 36, 10*l - 45 = -b. Let 0 + 0*u + 2/7*u**3 - 1/7*u**2 - 1/7*u**l = 0. Calculate u.
0, 1
Let k = 4727 - 4723. Let z(l) be the third derivative of -2/75*l**5 + 1/300*l**6 + 1/60*l**k + 20 + 2/5*l**3 + 0*l + 2*l**2. Factor z(q).
2*(q - 3)*(q - 2)*(q + 1)/5
Let a = -7994353/4 - -1998589. Factor a*v**2 - 30 - 117/4*v.
3*(v - 40)*(v + 1)/4
What is u in 1/2*u**3 - 1/4*u**5 + 5/2*u**2 - 1/4*u - 5/4*u**4 - 5/4 = 0?
-5, -1, 1
Let f(m) be the third derivative of 1/75*m**6 - 1/420*m**8 + 2/175*m**7 + 2/5*m**3 + 0*m - 1/30*m**4 - 2/25*m**5 + 0 - 31*m**2. Solve f(y) = 0 for y.
-1, 1, 3
Let c(a) be the second derivative of 11/18*a**4 - 1/3*a**3 + 2/15*a**5 - 116*a + 0 + 0*a**2. Find g, given that c(g) = 0.
-3, 0, 1/4
Let n(h) be the third derivative of 0*h - 1/5*h**6 + 0*h**3 + 4/5*h**5 - 4/3*h**4 + 152*h**2 + 2/105*h**7 + 0. Solve n(l) = 0 for l.
0, 2
Suppose 0 = s + 3*s. Let v be (-10)/30*(-9 - s). Factor 5*f - 10*f**3 - 15*f**2 + 3 + 9*f**4 + v*f**4 + 4*f + f**3.
3*(f - 1)**2*(f + 1)*(4*f + 1)
Suppose -13*l = 28 - 106. Let w(p) = 8*p**4 + 2*p**3 - 2*p**2 + 16*p. Let n(q) = -q**4 - q**3 - q**2. Let u(i) = l*n(i) + w(i). Factor u(z).
2*z*(z - 2)**2*(z + 2)
Let u(w) be the third derivative of -3*w**8/560 + 2*w**7/5 - 1679*w**6/200 + 529*w**5/50 + 523*w**2 - 2*w. What is a in u(a) = 0?
0, 2/3, 23
Let h(c) be the third derivative of -c**7/280 + 349*c**6/160 - 30273*c**5/80 - 31325*c**4/32 + 30625*c**3/4 + 6859*c**2. Let h(n) = 0. Calculate n.
-2, 1, 175
Suppose 0 = -7*d + 3851 + 32913. Factor 5255*p**2 + 8*p - d*p**2 + 12 + 4*p.
3*(p + 2)**2
Let m(p) = 20*p**3 + 161*p**2 + 188*p + 35. Let h(f) = 93*f**3 + 77 + 63 + 377*f**2 + 268*f**2 + 750*f - 13*f**3. Let z(w) = -4*h(w) + 15*m(w). Factor z(j).
-5*(j + 1)*(j + 7)*(4*j + 1)
Suppose -9*i - 540 = -5*i. Let t = i + 137. Factor m**4 + t - 569*m + 561*m + m**4 - m**2 + 13*m**2 - 8*m**3.
2*(m - 1)**4
Suppose -j + 2*x = -68, 4*x + 57 = j - 11. Factor 0*r**2 - 110*r + 80*r + 2*r**2 - j.
2*(r - 17)*(r + 2)
Suppose 34*p + 24 = 40*p. Factor 7*j**2 - 60*j + 0*j**2 + 4 - p - 3*j**2.
4*j*(j - 15)
Find r, given that 765/7*r**2 - 15/7*r**4 - 198/7 + 849/7*r - 297/7*r**3 = 0.
-22, -1, 1/5, 3
Let u be 275/(-30) - (-2)/4 - (-35 + 26). Let 7/3*w + 2 + u*w**2 = 0. What is w?
-6, -1
Let v(h) be the first derivative of -1/4*h**4 - 14 + 0*h + 2*h**3 - 4*h**2. Determine o so that v(o) = 0.
0, 2, 4
Let w(o) be the first derivative of -6*o - 2/9*o**3 - 2*o**2 - 75. Find p, given that w(p) = 0.
-3
Let u(x) = -x**3 - 3*x**2 + 5*x + 7. Suppose -12 = 5*o - 2*n + 12, 2*n - 12 = 2*o. Let b be u(o). Factor -15*h - 3*h**2 + 0 + 6*h**b - 18 - 3*h**3 + 9.
3*(h - 3)*(h + 1)**2
Solve -1538/15*r - 2/15*r**2 - 512/5 = 0 for r.
-768, -1
Suppose 10*r - 12*r = -6. Suppose 14 = r*a - c, 0 = -0*c + 4*c + 20. Find f, given that 4*f**5 - 2*f**a - 4 - 6*f**3 + f + 8*f**2 + 3*f - 5*f**4 + f**4 = 0.
-1, 1
Suppose 6*s = 21 + 9. Solve s*f**5 + 4*f**3 + 18*f**4 + 16*f**4 + 21*f**4 + 4*f**2 - 68*f**4 = 0.
-2/5,