ird derivative of q**3 + 1/12*q**6 - 5/12*q**a + 5*q**2 + 0*q + 0 - 1/10*q**5. Factor r(w).
2*(w - 1)*(w + 1)*(5*w - 3)
Let h(v) be the second derivative of -2*v**6/15 + 368*v**5/5 - 34222*v**4/3 + 44896*v**3 - 66978*v**2 - 1628*v. What is l in h(l) = 0?
1, 183
Let q(d) = d**3 + 7*d**2 + 7*d + 5. Let s be q(-6). Let i be (4195/20)/(s/(-4)). Find y, given that 4*y + 6 + 2 - 4*y**3 + 831*y**2 - i*y**2 = 0.
-2, -1, 1
Let g(t) = -t**2 - 8*t - 2. Let i be g(-8). Let q be (5 - (-1 - i))*(-2)/(-36). Solve -4/9*m**2 + 0 - q*m**3 + 0*m = 0.
-2, 0
Let i(b) be the first derivative of b**5/20 + b**4/12 - b**3 + 158*b + 57. Let f(t) be the first derivative of i(t). Find v, given that f(v) = 0.
-3, 0, 2
Let y(c) be the first derivative of -c**6/45 - 23*c**5/30 - 20*c**4/3 + 16*c**3 + 65*c - 65. Let v(r) be the first derivative of y(r). Factor v(f).
-2*f*(f - 1)*(f + 12)**2/3
Let b(z) be the third derivative of -z**6/60 - z**5/3 - 7*z**4/12 + 6*z**3 + 2541*z**2. Let b(h) = 0. Calculate h.
-9, -2, 1
Let q be (-2)/3*(-7210)/(-412) - -13. Suppose 16/15 + q*n - 2/15*n**3 + 2/15*n**2 = 0. What is n?
-2, -1, 4
Let 0 + 40/3*r**2 - 2/9*r**4 + 56/9*r**3 + 0*r = 0. Calculate r.
-2, 0, 30
Let o(z) be the first derivative of -4*z**3/3 + 330*z**2 + 1711. Factor o(b).
-4*b*(b - 165)
Let c = -8023/204 - -2044/51. Factor -3/8*q**2 - 3/8 - c*q.
-3*(q + 1)**2/8
Let p(k) = 1. Let t(g) = -4*g**2 + 3*g + 4. Let o(c) = -28*c**2 - 2*c - 2. Let d be o(-1). Let a = d + 25. Let l(x) = a*p(x) + t(x). Factor l(j).
-(j - 1)*(4*j + 1)
Suppose 4*f + 10644 = -4*l + 10696, -5*f - 52 = -4*l. Find z such that 4/5 + f*z - 1/5*z**2 = 0.
-2, 2
Suppose 181 - 297 = -29*x. Suppose -4*m + 3*d = -11, 9 = x*m - 4*d + 3*d. Factor -3/2 + 3*f**m - 3/2*f**4 + 0*f + 0*f**3.
-3*(f - 1)**2*(f + 1)**2/2
Suppose -208*d**4 + 398*d - 186*d - 20*d**5 + 368*d**2 - 520*d + 178*d**3 - 10*d**3 = 0. What is d?
-11, -7/5, 0, 1
Let u(p) be the third derivative of -p**6/24 + 83*p**5/12 - 605*p**4/12 + 400*p**3/3 - 3937*p**2. Factor u(o).
-5*(o - 80)*(o - 2)*(o - 1)
Let v(i) be the second derivative of 4*i**7/21 + 46*i**6/15 + 32*i**5/5 - 190*i**4/3 + 364*i**3/3 - 98*i**2 + 3020*i. Let v(w) = 0. Calculate w.
-7, 1/2, 1
Let m(q) = q + 7*q - 20 - 9*q - 8*q. Let k be m(-5). What is u in -10 - 8*u**2 + 0*u**3 - k*u**3 + 36*u**2 + 12*u**2 - 5*u = 0?
-2/5, 1
Let k(z) be the first derivative of 629216*z**3/3 - 1272*z**2 + 18*z/7 - 4573. Factor k(g).
2*(1484*g - 3)**2/7
Let b(w) = 45*w**2 + 87*w - 6. Let v(o) = 97*o**2 + 173*o - 13. Let s(u) = 13*b(u) - 6*v(u). Suppose s(i) = 0. What is i?
-31, 0
Factor 17036 + 54*v**2 + 488*v - 50*v**2 - 17036.
4*v*(v + 122)
Let v(n) = n**2 - 46*n + 125. Suppose -4*s = s - 275. Let b(i) = -23*i**2 + 8*i**2 - 856 + 645*i + 644 - 1538. Let r(f) = s*v(f) + 4*b(f). Factor r(a).
-5*(a - 5)**2
Suppose 0 = 2069*g - 2071*g - 3*v + 7, -2*g + 6 = 2*v. Let -5/6*j**g - 95/6*j - 15 = 0. What is j?
-18, -1
Let q(f) be the third derivative of f**6/540 + 5*f**5/27 - 26*f**4/27 - 11*f**2 - 6. Factor q(z).
2*z*(z - 2)*(z + 52)/9
Let j(t) be the second derivative of -2*t**7/21 - 68*t**6/15 - 124*t**5/5 - 40*t**4 + 55*t - 15. Factor j(b).
-4*b**2*(b + 2)**2*(b + 30)
Let m be 76*29/3306 + (-7)/(-3). Suppose -18/7*l**5 + 99/7*l**2 - m*l**4 + 60/7*l + 48/7*l**3 + 12/7 = 0. Calculate l.
-1, -2/3, -1/2, 2
Let l(h) = 4*h**3 + h**2 - 7*h - 1. Suppose 5*f = -9 + 19. Let y(w) = -w**3 + w**2 - 1. Let g(k) = f*l(k) - 6*y(k). What is a in g(a) = 0?
-1, 2/7, 1
Let l(v) be the third derivative of -v**7/5460 - v**6/468 - v**5/195 + 50*v**3/3 - 5*v**2 + 9. Let u(d) be the first derivative of l(d). Solve u(k) = 0.
-4, -1, 0
Let a(q) be the third derivative of -5/12*q**4 + 0*q + 1/120*q**5 + 0 + 25/3*q**3 + 121*q**2. Let a(f) = 0. What is f?
10
Suppose -104 = -6*c + 58. Suppose -c*w + 33 = -21. Factor -p - 3/2*p**w + 0 + 5/2*p**3.
p*(p - 1)*(5*p + 2)/2
Find i such that -27617*i + 14577*i + 14528*i - 176 + 68*i**2 = 0.
-22, 2/17
Suppose -2*g - 42 = -4*f, 5*f + 5832 = -2*g + 5835. Let -1/2*u**2 + u**4 + 1/4*u**f + u**3 - 1/2 - 5/4*u = 0. What is u?
-2, -1, 1
What is h in -213*h - 1064/5 - 1/5*h**2 = 0?
-1064, -1
Let w(l) be the third derivative of -11/3*l**3 + 66*l**2 + 0*l + 0 + l**4 - 1/30*l**5. Solve w(d) = 0.
1, 11
Let s(b) = -338*b - 1346. Let k be s(-4). Let m(r) be the third derivative of 0*r + 2/9*r**3 + 1/45*r**k + 0 + 12*r**2 - 1/18*r**5 - 7/36*r**4. Factor m(u).
2*(u - 2)*(u + 1)*(4*u - 1)/3
Let r(v) be the third derivative of 0*v + 0*v**3 + 0 + 1/36*v**4 - 1/45*v**5 + 22*v**2 + 1/180*v**6. Factor r(h).
2*h*(h - 1)**2/3
Find m, given that 0 + 2*m**3 - 28/15*m + 2/3*m**2 - 2/3*m**4 - 2/15*m**5 = 0.
-7, -1, 0, 1, 2
Let v(l) be the second derivative of 3*l - 1/100*l**5 + 1/10*l**2 + 1/20*l**4 - 3 - 1/10*l**3. Factor v(a).
-(a - 1)**3/5
Let m(n) = 23*n**5 + 6*n**4 + 6*n**3 - n**2 + 3*n - 3. Let b(g) = 8*g**5 + g**4 + 2*g**3 + g**2 + g - 1. Let h(j) = -3*b(j) + m(j). Factor h(a).
-a**2*(a - 2)**2*(a + 1)
Let n(z) = 2*z**2 - 14360*z - 25790622. Let k(u) = -u**2 - u + 15. Let b(p) = 4*k(p) + n(p). Factor b(r).
-2*(r + 3591)**2
Let v(b) be the second derivative of b**4/24 + 20*b**3/3 - 41*b**2 - b + 186. Suppose v(j) = 0. What is j?
-82, 2
Let u(p) be the first derivative of p**6/27 - 4*p**5/15 + 5*p**4/18 + 40*p**3/27 - 4*p**2 + 32*p/9 + 872. Find h, given that u(h) = 0.
-2, 1, 2, 4
Let y = -120459/7 + 17261. Let d = -1069/21 + y. Factor -d*q + 4/3 + 1/3*q**2.
(q - 4)*(q - 1)/3
Let b(g) be the third derivative of -g**5/210 - 5*g**4/7 - 611*g**3/21 - 2*g**2 + 3*g - 220. Factor b(p).
-2*(p + 13)*(p + 47)/7
Let 369/5*v**3 + 40 + 4226/5*v**2 - 81/5*v**4 + 364*v = 0. Calculate v.
-5, -2/9, 10
Let b(x) = -x**2 - 16*x - 26. Let k = 17 - 31. Let g be b(k). Factor 0*v**g + 1156 + v**2 - 3*v - 1154.
(v - 2)*(v - 1)
Solve 9*i**2 + 14/5*i**3 + 37/5*i + 6/5 = 0 for i.
-2, -1, -3/14
Factor 95/2*v**2 + 24 + 25/4*v**3 + 64*v.
(v + 6)*(5*v + 4)**2/4
Factor -105/2*h - 1/6*h**3 - 31/6*h**2 - 351/2.
-(h + 9)**2*(h + 13)/6
Let q be (87/116)/(6/88). Let x be (-9 + 5)*q/(-55). Suppose 0*u**2 + 2/5*u**5 + 0 + 6/5*u**4 + 0*u + x*u**3 = 0. Calculate u.
-2, -1, 0
Suppose 2*l = -l + 6. Factor -4 - 25*v + 33*v - 7*v**2 + 3*v**l.
-4*(v - 1)**2
Let l be 3192/665*(-10)/(-3). Determine u so that -l*u**5 - 21*u**2 - 17*u**3 + 13*u**5 + 21*u**4 + 31*u - 16*u**3 + 5*u = 0.
-1, 0, 1, 3, 4
Let y(s) be the second derivative of -s**4/54 - 29*s**3/27 + 10*s**2/3 - 2553*s. Factor y(b).
-2*(b - 1)*(b + 30)/9
Let d(y) = 3*y**5 - y**3 + y**2 - 2*y. Let t(a) = -16*a**5 - 4*a**4 + 32*a**3 - 43*a**2 + 26*a. Let m(o) = -10*d(o) - 2*t(o). Factor m(g).
2*g*(g - 2)*(g - 1)**2*(g + 8)
Let x(b) be the third derivative of b**6/300 + 7*b**5/75 - 39*b**2. Find u such that x(u) = 0.
-14, 0
Let -1/3*r**3 + 0 + 0*r + 308/3*r**2 = 0. What is r?
0, 308
Let t(a) be the second derivative of -a**4/36 - 137*a**3/18 - 45*a**2 - 21*a + 6. Determine w so that t(w) = 0.
-135, -2
Let y = 92 + -59. Let p = -170 + 179. Factor 15*m**2 + p*m**2 + y*m - 4*m**2 + 7*m - 10*m**3 - 5*m**4.
-5*m*(m - 2)*(m + 2)**2
Let m(d) be the first derivative of 2/15*d**6 - 32/15*d**3 - 39 - 2/5*d**5 - 11/5*d**4 + 4/5*d**2 + 2*d. Suppose m(f) = 0. Calculate f.
-1, 1/2, 5
Let t be (-27)/16*2/(-39)*52. Factor -3/4*j**3 - 39/4*j - t - 6*j**2.
-3*(j + 1)**2*(j + 6)/4
Let y(q) be the first derivative of -15/8*q**4 + 25/12*q**3 + 1/4*q**5 - 50 + 0*q + 0*q**2. Let y(b) = 0. Calculate b.
0, 1, 5
Let p = -225/2 + 110. Let c = p - -29/10. What is x in 4/5*x + 6/5 - c*x**2 = 0?
-1, 3
Let q(i) be the first derivative of -i**4/2 - 60*i**3 - 348*i**2 - 688*i - 3889. Factor q(k).
-2*(k + 2)**2*(k + 86)
Let c = 14659/5 + -8795/3. Factor 16/15*r**2 - 6/5*r + c.
2*(r - 1)*(8*r - 1)/15
Determine v, given that 55/6*v**2 + 23/2*v**3 - 118/3*v - 1/6*v**5 - 19/6*v**4 + 22 = 0.
-22, -2, 1, 3
Let w(m) be the third derivative of 2*m**7/105 - 59*m**6/120 - m**5/4 - 9514*m**2. Solve w(a) = 0 for a.
-1/4, 0, 15
Let y = -186 + 190. Suppose -590*j**2 + 12*j - 12*j**3 - 3 - 5 + 594*j**2 + 4*j**y = 0. What is j?
-1, 1, 2
Find v, given that -19/4 + 5*v - 1/4*v**2 = 0.
1, 19
Suppose -3*o - 84 = o. Let u = -19 - o. Find n such that -5*n**u + 3*n**4 + 9*n**2 - 4*n**2 - 3*n**5 = 0.
0, 1
Let c(f) = -282*f + 2820. Let j be c(10). Let t = -1/2 - -1. Factor j