8*j + 2 = i. Factor 0 - 4/5*h - 6/5*h**3 + j*h**2.
-2*h*(h - 1)*(3*h - 2)/5
What is y in 292 + 14020*y**2 + 18704*y**3 + 64/3*y**4 + 10513/3*y = 0?
-876, -1/4
Factor -588/5*q**2 - 22464/5*q - 4/5*q**3 - 62208/5.
-4*(q + 3)*(q + 72)**2/5
Suppose -221*u = 249 - 691. Factor 12/5*t + 0*t**u - 9/5*t**3 + 0 - 3/5*t**4.
-3*t*(t - 1)*(t + 2)**2/5
Let r(b) be the second derivative of 0*b**2 + 3/14*b**5 + 0 - 1/49*b**7 + 1/35*b**6 + 9*b + 0*b**3 + 3/14*b**4. What is v in r(v) = 0?
-1, 0, 3
Factor 378/5*l - 2/5*l**2 + 764/5.
-2*(l - 191)*(l + 2)/5
Let f = 349412 + -349402. Solve -2*l**2 + 88/3*l + f = 0 for l.
-1/3, 15
Let f be (141/6)/(1/(-18)). Let n be f/9*(-3)/6*2. Determine x, given that 2*x**3 - 21*x**2 + x**3 + x - 36 + n*x = 0.
2, 3
Let j(q) be the first derivative of q**3/6 - 11*q**2/2 - 24*q - 3620. Factor j(b).
(b - 24)*(b + 2)/2
Let d be 5 + -1 - 11/((-11)/(-2)). Factor -9*x**d - 2010*x**3 + 3*x**4 + 2004*x**3 + 6 + 6 + 2*x + 10*x.
3*(x - 2)**2*(x + 1)**2
Let f be (-13)/(3510/(-10370))*(-6)/(-514). Let g = f + -1/257. Let 14/9*z**4 + 22/9*z**2 - 32/9*z**3 - g*z + 0 = 0. What is z?
0, 2/7, 1
Factor -360*i + 0 - 108*i**2 + 13/3*i**4 + 6*i**3 + 1/3*i**5.
i*(i - 5)*(i + 6)**3/3
Let p(t) be the second derivative of -22/35*t**5 + 0*t**2 - 2/147*t**7 + 0*t**3 + 0 + 0*t**4 - 26/105*t**6 - 182*t. Factor p(f).
-4*f**3*(f + 2)*(f + 11)/7
Factor 2/9*f**2 + 160/9*f + 104/3.
2*(f + 2)*(f + 78)/9
Let t(c) be the third derivative of 4/27*c**5 + 7/108*c**8 - 4 + 0*c + 0*c**3 + 1/27*c**4 + 47/180*c**6 + 29/135*c**7 - 3*c**2. Find l such that t(l) = 0.
-1, -1/2, -2/7, 0
Let i(d) be the second derivative of 1 + 27/5*d**5 - 3*d**2 - 23/2*d**3 + 2*d - 15*d**4. Suppose i(s) = 0. What is s?
-1/6, 2
Let o be (-2 + 39/21)*((16 - -9) + -46). Find m, given that -64/5 + 108/5*m**2 + 14/5*m**o + 192/5*m = 0.
-4, 2/7
Let q = -21 + 23. Factor 2*a**2 + 47*a - 36 - 68*a - 5*a**q.
-3*(a + 3)*(a + 4)
Let d(q) be the third derivative of q**6/120 - 221*q**5/5 + 97682*q**4 - 345403552*q**3/3 - 100*q**2 - 2*q + 3. Let d(o) = 0. Calculate o.
884
Factor 805*w**3 - 64*w**2 - 1621*w**3 - 61*w + 1080 + 812*w**3 - 71*w.
-4*(w - 3)*(w + 9)*(w + 10)
Factor 46*v**4 - 46*v**4 + 3072 - 604*v + 672*v**2 + 2*v**4 - 1828*v - 72*v**3.
2*(v - 24)*(v - 4)**3
Let a(n) be the first derivative of -n**6/42 - 17*n**5/35 - 4*n**4 - 356*n**3/21 - 272*n**2/7 - 320*n/7 + 2438. Determine g so that a(g) = 0.
-5, -4, -2
Suppose 5*v + 4 = 5*w - 21, -1 = w + 2*v. Factor 3*b**w - 12*b**2 + 15*b + 8*b**2 - 14*b**2.
3*b*(b - 5)*(b - 1)
Let l(i) = 6*i + 23. Let o be l(-3). Factor o*q**3 - 5*q - 21682 + 21682 + q**2 - q**4.
-q*(q - 5)*(q - 1)*(q + 1)
Let n = -20653/5 - -4131. Let o(j) be the first derivative of -3 + 0*j + n*j**5 + 0*j**2 + 0*j**4 - 2/3*j**3. Factor o(g).
2*g**2*(g - 1)*(g + 1)
Let n(f) be the third derivative of -f**6/120 + f**5/60 + 3*f**4/8 - 3*f**3/2 + 1536*f**2. Suppose n(d) = 0. What is d?
-3, 1, 3
Let o(z) be the second derivative of z**7/14 + 4*z**6/5 + 69*z**5/20 + 7*z**4 + 6*z**3 + 1197*z. Determine u, given that o(u) = 0.
-3, -2, -1, 0
Let n(c) be the third derivative of c**7/6300 - 2*c**6/225 + 13*c**5/100 - 155*c**4/24 - c**2 - 6*c. Let j(t) be the second derivative of n(t). Factor j(h).
2*(h - 13)*(h - 3)/5
Let n(q) be the first derivative of -q**6/45 + 4*q**5/25 - q**4/10 - 52*q**3/45 + 8*q**2/5 + 852. What is b in n(b) = 0?
-2, 0, 1, 3, 4
Let p = -33 + 37. Let c be (8 - 85/10) + 2/p. Find t such that 0*t + 0*t**3 - 1/6*t**5 + 0*t**2 + c - 1/6*t**4 = 0.
-1, 0
Let s be -2 + (-21)/(-9) + 256/96. Determine x so that -5*x**4 - 527 - 10*x**2 + 167 + 420*x - 664*x**s + 1305*x**3 - 686*x**3 = 0.
-6, 1, 2
Let c(h) be the second derivative of 0 - 1/10*h**5 - 8/3*h**3 - 17*h + 4*h**2 + 5/6*h**4. Suppose c(m) = 0. Calculate m.
1, 2
Let z(b) be the first derivative of 169/5*b**5 - 142*b**3 - 32*b - 112*b**2 + 83 - 65/4*b**4. Factor z(j).
(j - 2)*(j + 1)*(13*j + 4)**2
Let s be ((291575/150)/(-109) - 55/10)*(-2)/5. Factor s*p + 2 + 27/2*p**2 + 5/6*p**4 + 7*p**3.
(p + 1)**2*(p + 6)*(5*p + 2)/6
Let z(h) be the second derivative of 9/160*h**5 - 1/32*h**4 - 3/16*h**3 - 3*h - 8 + 3/16*h**2. Solve z(q) = 0 for q.
-1, 1/3, 1
Let n(s) = s**2 + 10*s + 20. Let o be n(-8). What is a in 11*a**3 - 10*a**3 - 6*a**4 + a**4 - a**5 + 5*a**o = 0?
-1, 0, 1
Suppose h - 5 = 2*c + 5, 0 = -2*c + 10. Solve 72*g - 47 - h*g**3 + 252*g**2 - 239*g - 16*g**4 - 33 - 89*g = 0 for g.
-5, -1/4, 2
Let n be ((-52)/24)/13 - (-6253)/6. Factor 1 - 1 + 1041*x**2 - n*x**2 + 4*x.
-x*(x - 4)
Let z(g) = -5*g**4 + 287*g**3 - 3598*g**2 - 13514*g - 2. Let k(i) = -20*i**4 + 1149*i**3 - 14391*i**2 - 54063*i - 9. Let j(q) = 2*k(q) - 9*z(q). Factor j(h).
5*h*(h - 30)**2*(h + 3)
Let q(a) = 14*a**2 - 20*a + 62. Let u(g) = -12*g**2 + 20*g - 60. Suppose l + 2*f + 12 = 0, -4*f + 69 = l + 87. Let z(c) = l*u(c) - 5*q(c). Factor z(y).
2*(y - 5)**2
Let b = 3875/212 + -770/53. Let 3/2 - b*h**5 - 9*h**4 + 27/4*h + 15/2*h**2 - 3*h**3 = 0. What is h?
-1, -2/5, 1
Let b(n) be the first derivative of n**4/60 - 7*n**3/10 + 19*n**2/5 - 264*n - 126. Let k(w) be the first derivative of b(w). Determine a, given that k(a) = 0.
2, 19
Determine r, given that -595360 - 6*r**3 + 25*r**2 + 442*r**2 + 4*r**3 + 499*r**2 - 114192*r = 0.
-5, 244
Suppose -11*x + 33*x = 66. Solve 4*j**2 - 4*j**x - 6*j**4 + 7 + 6*j - 15 - 2*j**5 + 10 = 0 for j.
-1, 1
Suppose r = -u + 116654, 0 = 3*u - 4*r - 592932 + 243068. Factor -5/2*o**3 - u - 270*o**2 - 9720*o.
-5*(o + 36)**3/2
Let h(b) be the second derivative of -2/7*b**7 - 1/5*b**5 - 8/15*b**6 + 0 - 259*b + 0*b**4 + 0*b**2 + 0*b**3. Find l such that h(l) = 0.
-1, -1/3, 0
Let s = 6 - -53. Let p = 64 - s. Factor 0 + 0*i + 4*i + 6 + p*i + 3*i**2.
3*(i + 1)*(i + 2)
Suppose 10*i = -26*i + 130 + 14. Let d(f) be the second derivative of -1/6*f**3 - 1/4*f**i - 26*f + f**2 + 1/30*f**6 + 0 + 1/20*f**5. Let d(m) = 0. Calculate m.
-2, -1, 1
Let b(w) = -86*w - 86. Let n be b(-1). Let f(z) be the third derivative of 3*z**2 - z**3 - 1/20*z**5 + 3/8*z**4 + 0 + n*z. Solve f(i) = 0.
1, 2
Let j(o) be the second derivative of o**5/80 + 149*o**4/48 - o**3/24 - 149*o**2/8 + 440*o. Solve j(f) = 0 for f.
-149, -1, 1
Let v(b) = -b**2 - 3*b - 1. Let l(p) = p**4 + 2160*p**3 + 1170735*p**2 + 4657029*p + 4648359. Let o(i) = 5*l(i) + 115*v(i). Find w, given that o(w) = 0.
-1078, -2
Let t(d) be the first derivative of 10*d**6/3 + 213*d**5 + 245*d**4/4 - 355*d**3 - 265*d**2/2 - 3012. Solve t(f) = 0 for f.
-53, -1, -1/4, 0, 1
Suppose 4*v - 28 = 4*l, 3*l - 28 = -5*v - 25. Factor 2873*w - v + 3 + 2*w**2 - 2863*w.
2*w*(w + 5)
Suppose -456 - 194 = 65*l. Let w be (l + (-688)/(-68))/1. Let 14/17*c**2 + 24/17 + 32/17*c + w*c**3 = 0. Calculate c.
-3, -2
Let y(h) be the first derivative of 4*h**3/3 - 128*h**2 - 8900*h - 5198. Factor y(i).
4*(i - 89)*(i + 25)
Let p(b) be the second derivative of -b**7/2520 - b**6/180 - 11*b**4/12 - b**3/6 + 198*b. Let z(x) be the third derivative of p(x). Factor z(j).
-j*(j + 4)
Let x(q) be the first derivative of 2*q**5/25 - 6*q**4/5 + 62*q**3/15 + 12*q**2/5 - 64*q/5 + 394. Find v, given that x(v) = 0.
-1, 1, 4, 8
Let d = -403 + 385. Let x be -8 - (1 - (-174)/d). Find z, given that -2*z**4 + 4/3*z**2 + 2*z - x*z**5 - 4/3*z**3 + 2/3 = 0.
-1, 1
Suppose -314 = r - 317. Factor -10*s**2 - 5*s + s**3 - 4*s**3 + s**3 - r*s**3.
-5*s*(s + 1)**2
Suppose 0*m = -6*m + 12. Let o = -4 + 30. Suppose 23*i + 18*i - 50*i**m + 5 + 30*i - o*i = 0. What is i?
-1/10, 1
Let s be 7/(-2)*192*26/(-273). Let k = 11 - 7. Find q such that -4*q**2 - 69*q**k - 15*q**3 - 6*q**2 + s*q**4 = 0.
-2, -1, 0
Solve -8278656*o**3 - 22 + o**5 - 48*o**2 - 26 + 6*o**4 + 100*o + 8278645*o**3 = 0.
-6, -4, 1, 2
Let a = 61929 + -187696/3. Let b = a + 637. Solve 0 + 8/3*f + 10/3*f**3 + b*f**4 + 16/3*f**2 = 0.
-2, -1, 0
Determine x so that -1173*x - 458643/2 - 3/2*x**2 = 0.
-391
Let g(w) be the third derivative of -w**6/120 - w**5/2 - 75*w**4/8 - 250*w**3/3 + 7873*w**2. Factor g(k).
-(k + 5)**2*(k + 20)
Let y(i) be the third derivative of -i**6/360 + 41*i**5/12 + 103*i**4/3 + 1238*i**3/9 + 11825*i**2. Suppose y(g) = 0. Calculate g.
-2, 619
Suppose -10*d + 8*d = 4*z - 3596, 1804 = 2*z + 4*d. Let u = z - 6284/7. What is m in 12/7 + 10/7*m + u*m**2 = 0?
-3, -2
Let y = 677/2067 - -4/689. Let n(o) b