 + 22*y - 4*y**2 - 1/4*y**5 + 1/2*y**4 + 2/3*y**3 + 1/30*y**6. Let i(f) = 0. Calculate f.
-1, 2
Let h(l) = l**2 + 10*l + 14. Let x be h(-14). Factor -4*c**4 + 24*c**3 + 53*c + 22*c**2 - 13*c - x*c**2 - 12.
-4*(c - 3)*(c - 1)**3
Let i(s) = s**2 + 10*s - 22. Let z be i(2). Factor -2*j - 72 - 98*j + 16*j + 120 + 36*j**2 - j**4 + 3*j**3 - z*j**4.
-3*(j - 2)**2*(j - 1)*(j + 4)
Let c = 4 + -3. Let w be c/4 + (-20)/(-80). Factor 1/2 - w*d**2 + 1/2*d**3 - 1/2*d.
(d - 1)**2*(d + 1)/2
Let y be 8*((-3165)/(-150) + -20). What is q in y*q + 4/5*q**2 + 8 = 0?
-10, -1
Let j(f) be the second derivative of 43*f**5/45 - 41*f**4/27 - 4*f**3/27 - 1602*f. Let j(y) = 0. What is y?
-2/43, 0, 1
Let h(i) be the second derivative of -1/30*i**4 - 41 + 0*i**2 + 1/100*i**5 + 1/150*i**6 + i + 0*i**3. Factor h(z).
z**2*(z - 1)*(z + 2)/5
Let s(v) be the third derivative of -v**5/20 + 1679*v**4/4 - 2819041*v**3/2 + v**2 - 6*v + 44. Factor s(j).
-3*(j - 1679)**2
Factor 78*p**2 + 9 - 9 + 287*p**4 + 2556*p**3 - 402*p**2 + 8*p**5.
p**2*(p + 18)**2*(8*p - 1)
Let k(n) = -21*n + 161. Let w be k(11). Let t be (90/w)/(2/(1 - 3)). Find l such that 0 + t*l + 3/7*l**2 = 0.
-3, 0
Let w(l) be the second derivative of -l**5/5 - l**4/3 + 4*l**3 + 4562*l. Factor w(k).
-4*k*(k - 2)*(k + 3)
Determine o so that -4/3*o**2 + 45*o + 34/3 = 0.
-1/4, 34
Let h(g) = -2*g**5 + g**4 + 2*g**3 - g**2 + g - 1. Let w(r) = 5*r**5 - 11*r**4 - 15*r**3 + 29*r**2 + 49*r + 27. Let o(z) = -6*h(z) - 2*w(z). Solve o(p) = 0.
-6, -2, -1, 2
Let s(h) be the second derivative of 289/4*h**2 + 0 - 17/6*h**3 + 1/24*h**4 - 111*h. Factor s(u).
(u - 17)**2/2
Let l(x) be the second derivative of x**4/4 - 109*x**3/2 - 333*x**2 - x - 9021. Suppose l(q) = 0. Calculate q.
-2, 111
Solve 2/5*l**3 + 1732/5*l + 582/5*l**2 + 1152/5 = 0 for l.
-288, -2, -1
Let h be 26/(0 + 1) - 672/(-224). Let i(d) be the first derivative of -d**5 + 10*d**3 - 40*d - 5/4*d**4 + h + 10*d**2. Suppose i(g) = 0. Calculate g.
-2, 1, 2
Let b = -72701/28 - -18177/7. Find o, given that 0 - 13/4*o - b*o**2 = 0.
-13, 0
Let a be (100/(-8) - -5)*2/(-5). Suppose 12*j**2 - 15*j**4 - 16*j**2 - 6*j - 10*j**3 - 3*j**5 - 17*j**a - 17*j**2 = 0. Calculate j.
-2, -1, 0
Let i(c) = -3*c**3 + 2*c - 2. Let b(s) = -35*s**3 - 100*s**2 - 645*s - 1490. Let l(f) = -b(f) + 10*i(f). Determine t so that l(t) = 0.
-7, -6
Let g(k) be the first derivative of 1/2*k**3 - 45 + 0*k - 9/4*k**2. Suppose g(v) = 0. Calculate v.
0, 3
Let o be (10976/315)/((-3)/(0 + 63)). Let r = o + 732. Let -14/15*g - r*g**3 - 4/15 - 16/15*g**2 + 2/15*g**5 + 4/15*g**4 = 0. Calculate g.
-1, 2
Let m be (-4)/(-20)*(1201 - 1176). Factor -4*h**3 + 1/2*h**m + 0 - 7/2*h**4 + 0*h**2 + 0*h.
h**3*(h - 8)*(h + 1)/2
Let d(g) = 22*g - 82. Let z be d(4). Suppose 0 = -17*a + 40 - z. Factor -11/3*j - a - 1/3*j**3 - 2*j**2.
-(j + 1)*(j + 2)*(j + 3)/3
Let q be -7 + 53 + -5 + -5. Let f be 3*1/(q/8). Factor -2/3 + 1/3*d - 1/3*d**3 + f*d**2.
-(d - 2)*(d - 1)*(d + 1)/3
Let z(f) be the second derivative of f**6/105 - 5*f**5/14 + 73*f**4/42 + 75*f**3/7 + 18*f**2 + 3344*f. Determine q, given that z(q) = 0.
-1, 6, 21
Let t(n) = 21*n + 3. Let z be t(-1). Let p be 5 - (-26785)/45 - (-4)/z. Suppose 21*j**2 - 81*j**2 - 1380 + 509 - 2*j**3 - p*j - 1129 = 0. What is j?
-10
Let i(p) be the first derivative of -p**6/45 + 522*p**5/25 - 391*p**4/15 + 5312. Factor i(d).
-2*d**3*(d - 782)*(d - 1)/15
Suppose -19*t + 15*t = -5*n - 17, -8 = -t + 5*n. Factor -14 + m**3 - 3*m**t - 10*m**2 + 12*m - 11*m + 25*m.
-2*(m - 1)**2*(m + 7)
Let b(x) be the first derivative of -16 + 0*x**2 + 1/21*x**4 + 0*x**3 + 25*x - 3/70*x**5 + 1/105*x**6. Let g(l) be the first derivative of b(l). Solve g(y) = 0.
0, 1, 2
Let -65/8*u**3 - 1/2*u**5 + 0 + 0*u + 7/4*u**2 + 37/8*u**4 = 0. What is u?
0, 1/4, 2, 7
Let h(b) be the first derivative of -b**4/10 - 74*b**3/15 + 406*b**2/5 - 736*b/5 + 4880. Solve h(i) = 0.
-46, 1, 8
Let 5/6*d**4 + 0 + 19/2*d**3 + 11/3*d**2 + 0*d = 0. What is d?
-11, -2/5, 0
Let o(k) be the third derivative of 0 + 0*k - 47*k**2 - 1/9*k**3 + 1/180*k**5 - 1/72*k**4. Determine q, given that o(q) = 0.
-1, 2
Factor -139392/5 + 1/10*i**3 + 138864/5*i + 211/2*i**2.
(i - 1)*(i + 528)**2/10
Let i(r) = 5*r**4 - 179*r**3 + 486*r**2 - 328*r + 4. Let x(k) = 5*k**4 - 180*k**3 + 485*k**2 - 330*k + 5. Let c(f) = -5*i(f) + 4*x(f). Factor c(o).
-5*o*(o - 32)*(o - 2)*(o - 1)
Let k be ((-580)/(-100) - (1 + 5)*1)/(63/(-350)). Factor 2/9*a**2 - 2/9*a**4 - 10/9*a**3 + k*a + 0.
-2*a*(a - 1)*(a + 1)*(a + 5)/9
Let c be (-92)/115*(114/(-110) - -1). Let w = 2272/2475 - c. Determine v, given that w - 4/9*v + 4/9*v**3 - 4/3*v**2 + 4/9*v**4 = 0.
-2, -1, 1
Determine c so that -47/3*c**4 + 0 - 7/3*c**5 + 0*c - 12*c**2 + 140/3*c**3 = 0.
-9, 0, 2/7, 2
Let k(u) be the second derivative of 9/4*u**4 + 12*u + 1/10*u**6 + 3*u**2 - 3/4*u**5 - 7/2*u**3 + 0. Determine p so that k(p) = 0.
1, 2
Let d(x) = -x**3 - 5*x**2 + 7*x - 38. Let l be d(-7). Suppose -21*o + 96 = l*o. Factor -7/4*i**2 - 1/4*i**o + 0 - 5/2*i.
-i*(i + 2)*(i + 5)/4
Let j(s) be the second derivative of -s**6/10 - 2946*s**5/5 - 1446486*s**4 - 1893932336*s**3 - 1394881165464*s**2 - 2*s - 3334. What is n in j(n) = 0?
-982
Let c(s) be the third derivative of 0*s + 5/3*s**4 + 19/3*s**3 + 13*s**2 + 0 + 1/30*s**5. What is a in c(a) = 0?
-19, -1
Let n be 13 - (5 + -26)*(-2)/6. Let p be (n/(-1152)*-8)/(1/4). Factor 0 + 1/6*r**4 - p*r**2 - 1/6*r + 1/6*r**3.
r*(r - 1)*(r + 1)**2/6
Let h(t) be the second derivative of 15*t**7/28 - 61*t**6/20 + 117*t**5/20 - 9*t**4/4 - 29*t**3/4 + 45*t**2/4 + 177*t. Determine d, given that h(d) = 0.
-3/5, 1, 5/3
Let b(m) be the third derivative of -m**5/360 + 5*m**4/48 + 25*m**3/9 + m**2 + 6503. Factor b(y).
-(y - 20)*(y + 5)/6
Suppose 78*b + 2*b = -86*b - 20*b. Let n = -37/2 - -23. Find k such that n*k**2 - 3*k + b - 3/2*k**3 = 0.
0, 1, 2
Let r = -8857 - -34961/4. Let t = r - -119. Factor -3/2*c**3 - t*c**4 - c**5 - 1/4*c**2 + 0*c + 0.
-c**2*(c + 1)**2*(4*c + 1)/4
Let k = 14996/21 - 4994/7. Suppose 8*l + 26/3 - k*l**2 = 0. What is l?
-1, 13
Let r = -916 + 1259502/1375. Let g = 17871/2750 + r. Determine i so that 63/4*i**2 - 4*i**4 + g*i + 6*i**3 + 3/4 = 0.
-1, -1/4, 3
Let v(b) be the first derivative of -600/7*b + 34/21*b**3 - 40/7*b**2 - 1/14*b**4 + 143. Determine f, given that v(f) = 0.
-3, 10
Let p = 298/41 + -161896/22263. Let w = 187/1629 + p. Determine z, given that 1/3*z**4 + 1/9*z**5 - 1/3*z**2 + 0 + w*z**3 - 2/9*z = 0.
-2, -1, 0, 1
Let f(a) be the first derivative of -2*a**3/3 + 35*a**2 + 72*a - 1269. Solve f(o) = 0.
-1, 36
Let n(y) be the first derivative of -y**3/6 - 639*y**2/2 - 408321*y/2 - 3933. Let n(g) = 0. Calculate g.
-639
Suppose -152 = -7*j - 19. Suppose j*v - 30 = 8. What is d in 2/5*d**3 - 6/5*d**4 - 8/5*d + 0 + 24/5*d**v = 0?
-2, 0, 1/3, 2
Let i(b) be the second derivative of 1/4*b**5 + 54*b + 20*b**2 + 0 + 35/3*b**3 + 35/12*b**4. Let i(g) = 0. Calculate g.
-4, -2, -1
Let s(b) be the second derivative of b**6/45 + 169*b**5/75 + 529*b**4/90 + 64*b**3/45 - 44*b**2/5 - 3364*b. Let s(z) = 0. What is z?
-66, -1, 2/5
Let r(y) be the first derivative of -1/20*y**4 - 2/15*y**3 + 0*y + 0*y**2 - 63 + 1/25*y**5. Let r(g) = 0. What is g?
-1, 0, 2
Let a(b) = -4*b**2 - 2628*b + 2624. Let x(p) = -2*p**2 + p - 1. Let f(w) = a(w) - 4*x(w). Factor f(i).
4*(i - 657)*(i - 1)
Let y(j) be the first derivative of j**6/105 - j**4/21 + j**2/7 + 12*j - 58. Let s(r) be the first derivative of y(r). Factor s(m).
2*(m - 1)**2*(m + 1)**2/7
Let u(p) = p**2 + 29*p + 55. Let d be u(-28). Suppose -3 - 15 = -9*l. Factor 2*h**l - h**2 + 4*h**2 + 7*h - d*h.
5*h*(h - 4)
Factor 1/7*b**2 - 32/7*b + 0.
b*(b - 32)/7
Let s(j) = -485*j**3 + 28120*j**2 - 150. Let v(p) = -13*p**3 + 760*p**2 - 4. Let r(m) = -2*s(m) + 75*v(m). Factor r(z).
-5*z**2*(z - 152)
Suppose 33*t + 270 = 65*t - 5*t. Let z(k) be the third derivative of -t*k**3 + 1/2*k**4 + k**2 - 21*k - 1/100*k**5 + 0. Factor z(q).
-3*(q - 10)**2/5
Let w(a) = 5*a**2 + 470*a + 1365. Let g be w(-91). Solve 8/3*l**2 + 4*l**3 + g + 0*l = 0 for l.
-2/3, 0
Let b(f) = -f**3 + 13*f**2 - 21*f - 8. Let y be b(11). Find h such that -5324*h**2 - 6*h**4 + h**5 + 14641*h + h**4 + 726*h**y - 34*h**4 - 5*h**4 = 0.
0, 11
Factor 27/7*b**4 + 0 + 3840/7*b**2 - 288/7*b + 646/7*b**3.
b*(b + 12)**2*(27*