 = 0.
-10, 0
Let s = -434450 - -434452. Solve -3/4*k**3 - 7/8*k**5 + 0 + k + 23/8*k**4 - 7/2*k**s = 0.
-1, 0, 2/7, 2
Let s(k) be the second derivative of 1/6*k**4 + 1/20*k**5 - 2 - 8*k + 0*k**3 + 0*k**2. Find c, given that s(c) = 0.
-2, 0
Let x = -19/26 - -35/39. Factor 1/3*g - x - 1/6*g**2.
-(g - 1)**2/6
Let f(l) = -l**2 + 11*l + 2. Let p(k) = 4*k**2 - 21*k - 4. Let y be 18/(-12) + 11/(-2). Let j(o) = y*f(o) - 4*p(o). Suppose j(z) = 0. Calculate z.
-2/9, 1
Let v(o) = 26*o**2 - 54*o + 76. Let p be (-7)/((-14)/(-60))*182/455. Let b(f) = -2*f**2 + f. Let q(r) = p*b(r) - v(r). Solve q(c) = 0 for c.
2, 19
Let -177*p - 2*p**4 + 2*p**2 + 15*p**2 - 135*p - 4*p**3 + 22*p**3 + 288 - 9*p**2 = 0. What is p?
-4, 1, 6
Let l be 7290/(-756)*21/(-18)*(-4)/(-10)*1. What is n in l*n**2 + 3/2*n**3 + 0 + 1/2*n**5 - 5/2*n**4 + 0*n = 0?
-1, 0, 3
Let j(q) be the first derivative of 5*q**3/9 + 610*q**2/3 + 4428. Determine i, given that j(i) = 0.
-244, 0
Let x(s) be the first derivative of 1/100*s**5 - 10 - 1/60*s**4 + 1/10*s**2 - 1/30*s**3 - 14*s. Let p(c) be the first derivative of x(c). Factor p(y).
(y - 1)**2*(y + 1)/5
Let n = -1390475/6 + 231746. Factor -23/6 - n*t**2 + 4*t.
-(t - 23)*(t - 1)/6
Let q(s) be the second derivative of -2*s**7/7 + 4*s**6/3 + s**5 - 20*s**4/3 - 8*s**3 + 2164*s + 2. Find m such that q(m) = 0.
-1, -2/3, 0, 2, 3
Let h(v) be the third derivative of v**5/12 + 35*v**4/4 - 2915*v**3/6 + 383*v**2. Factor h(a).
5*(a - 11)*(a + 53)
Suppose -c - 212 = -3*g, -g + 13*c + 68 = 14*c. Factor -160*z**2 - 48*z - 26*z - 41*z + g + 27*z**3 - 2*z**3.
5*(z - 7)*(z + 1)*(5*z - 2)
Let q(m) be the second derivative of -m**7/1260 + m**6/40 - 2*m**5/15 - 31*m**4/4 + 5*m + 2. Let z(d) be the third derivative of q(d). Factor z(t).
-2*(t - 8)*(t - 1)
What is v in -170*v + 0 - 1/5*v**4 + 63*v**2 - 24/5*v**3 = 0?
-34, 0, 5
Let f(j) = -4*j**2 + 79*j. Let p(d) = -2*d**2 + 40*d. Suppose 0 = -t + 7*l - 5*l + 13, -t - 2*l = 3. Let h(q) = t*p(q) - 2*f(q). Suppose h(b) = 0. What is b?
0, 21
Let m(t) be the third derivative of -t**8/420 - 26*t**7/525 - 11*t**6/30 - 71*t**5/75 + 4*t**4/3 + 40*t**3/3 - 2*t**2 + 155. Determine i so that m(i) = 0.
-5, -2, 1
Factor 1/2*o**3 - 67/2*o**2 - 104*o - 70.
(o - 70)*(o + 1)*(o + 2)/2
Suppose -119*a = 165*a - 852. Determine l so that 14*l**2 + 21/2*l**5 + 0 - 53/2*l**a - 2*l + 4*l**4 = 0.
-2, 0, 2/7, 1/3, 1
Let u(m) = 5*m**2 - 1158*m - 12. Let d(w) = -7*w**2 + 1157*w + 16. Let l(g) = 3*d(g) + 4*u(g). Find f such that l(f) = 0.
-1161, 0
Suppose 44/15*c**3 + 0 + 16/5*c**2 - 46/15*c + 2/15*c**5 - 16/5*c**4 = 0. Calculate c.
-1, 0, 1, 23
Let g(b) be the first derivative of -b**4 + 0*b - 150 + 0*b**3 + 4/5*b**5 + 0*b**2. Factor g(a).
4*a**3*(a - 1)
Let t be ((-54)/(-30) + 0)*25/15. What is s in -12*s + 4*s**5 + 14*s**4 - 2*s**5 - 3*s**3 + 13*s**t - 14*s**2 = 0?
-6, -1, 0, 1
Suppose -26112*d = -26646*d. Factor d*r + 2/11*r**2 + 0.
2*r**2/11
Let 0 - 2*b**4 - 7*b**3 + 25/2*b - 10/3*b**2 - 1/6*b**5 = 0. Calculate b.
-5, -3, 0, 1
Let m = 14171/24 - 99173/168. Factor 2/7 - m*c**4 - 1/7*c**3 + 5/7*c + 3/7*c**2.
-(c - 2)*(c + 1)**3/7
Factor d**2 + 41 - 6 + 27 + 15*d - 46*d - 4.
(d - 29)*(d - 2)
Suppose 0 = -8*v + 5 - 21. Let a be (-2)/v*(350/42 + -8). Factor -a*x + 0 - 1/3*x**2.
-x*(x + 1)/3
Let m be (12/(-14))/(-3) - (-5 - 24/224*-44). Suppose 16/7*p + 36/7*p**2 - m*p**3 - 8/7*p**4 - 16/7 = 0. Calculate p.
-2, -1, 1/2, 2
Factor 16*q**2 + 24 + 185*q - 949 + 394 - 17*q**2 - 885.
-(q - 177)*(q - 8)
Let c(y) = y**3 - 147*y**2 + 444*y - 1725. Let q be c(144). Factor 0*j**2 + 4/9*j**q + 0 - 4/9*j.
4*j*(j - 1)*(j + 1)/9
Factor 130*r - 67*r - 3*r**2 - 56 - 148.
-3*(r - 17)*(r - 4)
What is j in 4/9*j**5 + 424/9*j + 0 + 68/3*j**2 - 68/3*j**4 - 428/9*j**3 = 0?
-2, -1, 0, 1, 53
Suppose -90*f**3 + 243 - 73*f - 47*f**5 + 88*f**5 - 42*f**5 + 100*f - 162*f**2 - 17*f**4 = 0. What is f?
-9, -3, 1
Suppose 4*y = -2*j + 100, 0*y - 3*y + 75 = 2*j. Let c be (20/(-25))/(-1 + 23/y). Solve -c*k**2 + 2*k - 2*k - 2*k**3 = 0.
-5, 0
Let y be ((-589)/(-76))/(2*(-1)/(-8)). Suppose 0 = -y*w - 298 + 298. Let 0 - 2/5*p**2 + 2/5*p**4 + w*p + 2/5*p**3 - 2/5*p**5 = 0. Calculate p.
-1, 0, 1
Let k = -13305/14 + 951. Let y(t) be the second derivative of -11/10*t**6 + k*t**7 + 0 + 0*t**3 + 0*t**4 + 2*t + 0*t**2 + 3/10*t**5. What is c in y(c) = 0?
0, 2/9, 1
Let t(x) = 4*x**3 - 46*x**2 + 118*x + 88. Let c be t(6). Determine k so that 6*k**3 + 63/5*k**2 + 3/5*k**c - 84/5 - 12/5*k = 0.
-7, -2, 1
Let z(h) be the third derivative of -h**6/60 + h**5/2 - 19*h**4/6 + 8*h**3 - h**2 - 1210*h. Factor z(p).
-2*(p - 12)*(p - 2)*(p - 1)
Let b(a) = a**3 + 25*a**2 + a + 34. Let r be b(-25). Suppose 6*w - 27 - r = 0. Factor 2*m**5 - 11*m**4 + w*m**3 + 16*m**2 + 7*m**4 - 14*m**3.
2*m**2*(m - 2)**2*(m + 2)
Let g = 339 + -15. Suppose 0 = 22*m - 31*m + g. Factor 0*b + 0 + 14/3*b**5 + 64*b**3 - m*b**4 + 64/3*b**2.
2*b**2*(b - 4)**2*(7*b + 2)/3
Let w(l) be the third derivative of -l**6/180 - 39*l**5/10 + l**2 - 1939*l. Find j, given that w(j) = 0.
-351, 0
Let m(s) = -56 + 5*s - 56 + 96. Let w be m(4). Factor -5*r**3 - 14*r + 16*r**2 + 2*r**5 + 4 + r**3 - r**4 - 3*r**w.
2*(r - 1)**4*(r + 2)
Suppose -3 = -2*o + 4*u + u, -5*o + 15 = -5*u. Find w such that -o*w + 5*w**2 + 9*w + 5*w + 0*w = 0.
-2, 0
Suppose 5*r - 4892*g + 21 = -4895*g, 4*r + 5*g = -35. Suppose r*d + 2/3 - 2/3*d**2 = 0. Calculate d.
-1, 1
Let -10677*g**3 + 84*g - 12 + 21*g**2 + 10674*g**3 + 72 = 0. Calculate g.
-2, -1, 10
Let y(k) = 7*k**4 + 48*k**3 - 20*k**2 - 140*k - 4. Let v(a) = -6*a**4 - 45*a**3 + 18*a**2 + 141*a + 3. Let r(h) = -4*v(h) - 3*y(h). Factor r(t).
3*t*(t - 2)*(t + 2)*(t + 12)
Let r(f) be the third derivative of 9*f**6/40 - 507*f**5 - 3383*f**4/2 - 2256*f**3 - 4*f**2 + 161*f + 1. Suppose r(b) = 0. Calculate b.
-2/3, 1128
Let c be (54/351 - (-17)/(-26))/((294/48)/(-7)). Let d be (-4089)/(-14) + (-1)/(-2). Factor -c*j**3 + d + 96/7*j**2 - 768/7*j.
-4*(j - 8)**3/7
Let b be (-8)/(-20) - 18/(-30) - -57. Let j(g) = -g - 1. Let x be j(-4). Determine w so that -13*w**2 - 32*w**4 + 12*w + b*w**4 + 6*w**x - 4 - 27*w**4 = 0.
1, 2
Suppose -203 = -2*w - f + 404, 4*f = -4*w + 1208. Let g = 310 - w. Determine u, given that 2/13*u**4 + 0*u + 0 - 2/13*u**g + 0*u**3 + 0*u**2 = 0.
0, 1
Let l(t) be the second derivative of t**6/600 - 11*t**5/200 + t**4/4 - 77*t**3/6 + 179*t. Let k(w) be the second derivative of l(w). Factor k(x).
3*(x - 10)*(x - 1)/5
Let p(n) = n**2 + 3*n - 2. Let h be p(-4). Let s be (5 + -4)/((-1)/(-2)). What is b in 3 + 15*b - 27*b**3 + 19*b**s - 35*b**h + 25*b**2 = 0?
-1/3, 1
Let k(p) be the first derivative of 2/85*p**5 + 4/17*p**3 + 0*p**2 + 3 + 0*p + 5/34*p**4. What is c in k(c) = 0?
-3, -2, 0
Let i(j) be the first derivative of j**7/2940 - 3*j**6/140 + 50*j**3/3 + 136. Let v(n) be the third derivative of i(n). Factor v(p).
2*p**2*(p - 27)/7
Let x(z) be the third derivative of z**8/2352 + 5*z**7/294 + 41*z**6/280 + 5*z**5/12 + 19*z**4/42 - z**2 - 1202*z. What is r in x(r) = 0?
-19, -4, -1, 0
Let o(i) = i**3 + 34*i**2 + 165*i - 18. Let k be o(-6). Factor -392/9*t + 2/9*t**4 + 448/9*t**2 - 58/9*t**3 + k.
2*t*(t - 14)**2*(t - 1)/9
Let o be (-10)/(-35) - (-24)/14. Let t(y) = -y**3 + 10*y**2 + 78*y - 43. Let a be t(15). Factor 2/5*j**a + o*j + 8/5.
2*(j + 1)*(j + 4)/5
Suppose -59 = 11*g + 29. Let d(a) = -12*a**3 + 20*a**2 + 28*a - 12. Let k(b) = 8*b**3 - 13*b**2 - 18*b + 8. Let j(n) = g*k(n) - 5*d(n). Factor j(l).
-4*(l - 1)**2*(l + 1)
Suppose 0 = -4*d + 5*z + 68, 46*d - 45*d + z + 10 = 0. Determine x, given that -13/6*x**3 - 16/3*x - 2/3 - 41/6*x**d = 0.
-2, -1, -2/13
Let m(g) be the third derivative of 4/75*g**6 + 13 + 10/3*g**4 + 0*g - 4*g**2 - 1/525*g**7 - 25/3*g**3 - 3/5*g**5. Solve m(j) = 0 for j.
1, 5
Let b(v) = -3*v**3 + 435*v**2 - 14380*v - 185. Let z be b(94). Factor -1/8*y**4 - y**z + 0 + 0*y - 3/2*y**2.
-y**2*(y + 2)*(y + 6)/8
Let x be (-58)/(((-2)/10)/((-4818)/(-693) - 7)*-5). Factor 20/7 - x*q - 2/21*q**2.
-2*(q - 1)*(q + 30)/21
Let j = 267 + -262. Suppose 5*d**2 + 0*d**2 + 6*d - 30*d**5 - 5*d**4 - 96*d**3 + 91*d**3 + 29*d**j = 0. What is d?
-3, -2, -1, 0, 1
Let x(f) be the third derivative of 1/168*f**8 - 2/3*f**4 - 1/30*f**6 + 205*f**2 - 1/35*f**7 + 0 + 0*f**3 + 2/5*f**5 + 0*f. Factor x(b).
2*b*(b - 2)**2*(b - 1)*(b + 