ose b(t) = 0. Calculate t.
-11, -1
Suppose 2*r + 360 = 4*h, 7*h - 2*h - 4*r = 456. Suppose -h*x + 2*x**2 + 30 + 26*x + 17*x + 29*x = 0. What is x?
3, 5
Let b(r) be the third derivative of -r**6/80 - 19*r**5/40 - 45*r**4/8 - 18*r**3 + 699*r**2. Determine v, given that b(v) = 0.
-12, -6, -1
Let r(l) be the first derivative of l**3/6 + 5*l**2/4 + 2*l - 525. Factor r(i).
(i + 1)*(i + 4)/2
Determine d so that -914/5 - 182*d**2 + 2/5*d**3 - 1826/5*d = 0.
-1, 457
Let q(h) be the third derivative of -68*h**2 + 121/48*h**4 + 0 + 0*h + 1331/36*h**3 + 11/120*h**5 + 1/720*h**6. Factor q(i).
(i + 11)**3/6
Let y(o) = 30*o + 53*o**2 + 104 + 33*o**3 + 41*o**3 - 72*o**3. Let u be y(-26). What is j in u*j + 0 - 6/5*j**3 - 2/5*j**2 = 0?
-1/3, 0
Let u(w) be the second derivative of 1/75*w**6 + 27*w - 1/30*w**4 + 0*w**2 - 2 + 1/30*w**3 - 1/210*w**7 + 0*w**5. Factor u(c).
-c*(c - 1)**3*(c + 1)/5
Let v(n) be the third derivative of -13*n**7/735 + 11*n**6/420 + 2*n**5/15 + n**4/21 + 1587*n**2. Let v(j) = 0. Calculate j.
-1, -2/13, 0, 2
Let l(j) = 59*j**2 + 5264*j - 1383384. Let r(g) = 810*g**2 + 73695*g - 19367375. Let o(y) = -55*l(y) + 4*r(y). Factor o(b).
-5*(b - 526)**2
Let f be (7/(-504)*8)/((-8)/36). Factor -i**2 + 1/4*i**3 + 5/4*i - f.
(i - 2)*(i - 1)**2/4
Let v(d) be the first derivative of -d**7/140 + d**6/120 + 43*d**3/3 + d**2 - 31. Let s(n) be the third derivative of v(n). Let s(m) = 0. What is m?
0, 1/2
Let j(t) = 2*t**2 - 13*t. Let p(o) = -7*o**2 + 740*o + 687. Let v(s) = -4*j(s) - p(s). Factor v(w).
-(w + 1)*(w + 687)
Suppose h = 3*o - 7*o - 1, -3*o = h - 3. Factor -6*x**2 - 8*x - h*x**4 + 14*x**3 - x**4 + 12*x**4 - 2*x**2.
-2*x*(x - 2)**2*(2*x + 1)
Let x = 84694/50811 + -3/16937. Suppose 5/3*b**4 + 5/3*b - 5/3*b**3 + 0 - x*b**2 = 0. Calculate b.
-1, 0, 1
Suppose 4818*n**4 + 948*n + 130*n**3 - 2*n**5 - 370*n**2 - 4696*n**4 - 1076*n + 248 = 0. What is n?
-2, -1, 1, 62
Let v(b) be the second derivative of -3*b**7/70 - b**6/20 - b**5/60 - 53*b**2/2 - 14*b. Let y(p) be the first derivative of v(p). Solve y(a) = 0.
-1/3, 0
Suppose 3*g = 4*y - 8, -15 = -3*y + 10*y - 10*y. Factor 2/7*x**3 + 2/7*x**g + 0*x + 0*x**2 + 0.
2*x**3*(x + 1)/7
Factor -9262*g**2 - 9308*g**2 + 5*g**3 - 510*g + 18725*g**2.
5*g*(g - 3)*(g + 34)
Let q(l) be the second derivative of l**4/3 + 80*l**3/3 - 168*l**2 - 34*l - 9. Find t, given that q(t) = 0.
-42, 2
Suppose 146 - 198 = -26*x. Let k(f) be the second derivative of 1/40*f**5 + 0 + 0*f**4 + 1/24*f**6 + 4*f + 0*f**3 + 0*f**x. Find j, given that k(j) = 0.
-2/5, 0
Let t(l) = 12*l**3 - 4164*l**2 + 27*l - 27. Let y(f) = -f**3 + 321*f**2 - 2*f + 2. Let r(i) = 2*t(i) + 27*y(i). Factor r(n).
-3*n**2*(n - 113)
Let s(i) be the first derivative of i**3/6 + 325*i**2/6 + 72*i + 10580. Find j, given that s(j) = 0.
-216, -2/3
Let o(r) = r + 7. Let n be o(-8). Let u be (n + -1)/(5/(-10)). Find y such that 309*y - 284*y - y**3 - u*y**3 - 5*y**2 - 15 = 0.
-3, 1
Let l = -79 + 77. Let n(d) = d + 6. Let g be n(l). Solve 4*f**3 + 14*f - f**g - 10*f + 4 - 8*f - 3*f**2 = 0.
-1, 1, 2
Let g be (-45)/(-12) + (-3 + 7)/16. Find d such that -4*d**3 + 2433*d**g + 2*d**3 - 24*d**2 - 2431*d**4 = 0.
-3, 0, 4
Let f(j) = 10*j**4 - 50*j**3 + 65*j**2 + 5*j - 5. Let p(d) = 2 - 3*d - 60*d**2 + 28*d**2 + d + 25*d**3 - 5*d**4. Let x(b) = -2*f(b) - 5*p(b). Factor x(h).
5*h**2*(h - 3)*(h - 2)
Let a be -1 + (-9 - -11) + 4. Let u(m) be the third derivative of -1/4*m**a - 1/40*m**6 - m**4 - 2*m**3 - 30*m**2 + 0*m + 0. Factor u(w).
-3*(w + 1)*(w + 2)**2
Factor 20230 + 952*p + 1049*p - 5*p**2 - 54942 - 51093 - 691*p.
-5*(p - 131)**2
Let h be ((-10)/4)/((-9615)/87176). Suppose 20/9 - 124/9*w + 184/9*w**2 + 88/9*w**3 - h*w**4 + 4*w**5 = 0. What is w?
-1, 1/3, 1, 5
Determine s, given that 89/4*s**2 + 129/4*s - 1/4*s**4 + 0 - 41/4*s**3 = 0.
-43, -1, 0, 3
Let z = 76391/30566 + 12/15283. Suppose -z*q**2 + 300*q - 9000 = 0. What is q?
60
Let n(s) be the first derivative of -s**6/3600 + s**5/300 - s**4/80 - 4*s**3/3 + 40. Let b(r) be the third derivative of n(r). What is j in b(j) = 0?
1, 3
Factor -426*s + 0 + 3/2*s**2.
3*s*(s - 284)/2
Let j be (0 + 4)/(-2) - 36/(-6). Suppose -3*k + 49 - 11 = 4*v, 0 = j*k + 4*v - 52. Factor 10 + 16*a**3 + k*a**3 + 56*a - 20*a**3 + 6 + 44*a**2.
2*(a + 2)**2*(5*a + 2)
Let g be 864/4 + 5 + -11. Let k be ((-12)/30)/((-28)/g). Factor -24/7*v**2 - 2/7*v**k + 0 - 72/7*v.
-2*v*(v + 6)**2/7
Factor 129/5*r**2 + 12/5*r - 3/5*r**3 - 516/5.
-3*(r - 43)*(r - 2)*(r + 2)/5
Let n(b) = -b**2 - 7*b - 4. Let s be n(-5). Suppose j + j - s = 0. What is t in t**3 - t**2 + 5*t**3 - 3*t**4 + j*t**5 - 3*t**3 - 2*t**5 = 0?
0, 1
Let a = -8/17623 - -2978527/528690. Let n = -11/15 + a. Factor -n - 1/10*k**2 + 7/5*k.
-(k - 7)**2/10
Factor -426/7 - 432/7*i**2 + 855/7*i + 3/7*i**3.
3*(i - 142)*(i - 1)**2/7
Let m be ((62 - 62)/(52/13))/(-3 + -1). Determine y, given that 4/7*y**2 + 6/7*y + m = 0.
-3/2, 0
Suppose 3*v + 5*w - 145 = -121, -5*v + 3*w = -6. Let n(h) be the second derivative of 2*h**v + 0 - 4*h - 24*h**2 - 1/16*h**4. Find j, given that n(j) = 0.
8
Factor 87*g**2 - 43*g**2 + 560 - 39*g**2 - 290*g.
5*(g - 56)*(g - 2)
Let g(w) be the first derivative of 5*w**3/3 + 935*w**2 + 3720*w - 2665. Factor g(u).
5*(u + 2)*(u + 372)
Let y(m) = 24*m + 3. Let h = 573 - 573. Let l be y(h). Find s such that 2/3*s**l + 0*s + 0 - 2/3*s**2 = 0.
0, 1
Let j(n) be the first derivative of n**5/70 + 7*n**4/2 + 1825*n**3/7 + 5329*n**2/7 + 70*n - 172. Let a(q) be the first derivative of j(q). Factor a(f).
2*(f + 1)*(f + 73)**2/7
Let c(a) = -11975*a + 23953. Let o be c(2). Find k such that 0 + 4/13*k**2 + 2/13*k**o - 6/13*k = 0.
-3, 0, 1
Let c = 39 + -24. Let t = 23 - c. Suppose -21 + t*m**3 + 1 - 3*m**3 - 30*m**2 + 45*m = 0. What is m?
1, 4
Let d(h) be the first derivative of 3/5*h**5 + 990*h**2 - 162 + 181*h**3 + 2700*h + 33/2*h**4. Factor d(r).
3*(r + 5)**2*(r + 6)**2
Let f(q) be the first derivative of -q**2/2 - 6*q + 29. Let d be f(-8). What is z in -10*z**d - 5*z**3 - 138*z + 138*z + 15*z**5 + 20*z**4 = 0?
-1, 0, 2/3
Let l be 21/(-2)*(6352/(-224) - -28). Let o(x) be the third derivative of 0*x - 4*x**2 - 32/21*x**7 - l*x**4 - 6*x**6 - 5/6*x**3 - 97/12*x**5 + 0. Factor o(t).
-5*(t + 1)**2*(8*t + 1)**2
Let x = 72 + -109. Let h = x + 40. Factor 5*q**h + 719*q**4 - 5*q**3 - 723*q**4 + 27*q**2 - 25*q + 6.
-(q - 2)*(q + 3)*(2*q - 1)**2
Let n(s) be the second derivative of -s**4/12 + 55*s**3/6 - 53*s**2 + 993*s. Factor n(u).
-(u - 53)*(u - 2)
Let s(k) be the first derivative of 24 - 20*k - 22*k**2 - 121/15*k**3. Determine w so that s(w) = 0.
-10/11
Factor 1/2*h**5 - 4352*h - 232*h**3 + 4480 + 19/2*h**4 + 1552*h**2.
(h - 4)**4*(h + 35)/2
Let x(s) be the second derivative of 21*s**2 + 0 + 31/3*s**3 + 2/3*s**4 - 78*s. Factor x(z).
2*(z + 7)*(4*z + 3)
Let d(t) = -14*t**3 + 355*t**2 - 1012*t - 1357. Let c(i) = 25*i**3 - 710*i**2 + 2020*i + 2715. Let l(o) = -3*c(o) - 5*d(o). Suppose l(f) = 0. Calculate f.
-1, 4, 68
Suppose -t + 2 = -0*t. Suppose 4*x = -t*j + 30, -5*x = 4*j - j - 41. Factor -2 + 1 + 1 + 4*d + j*d**2 - 10*d**3 + 3*d**4 - 4.
(d - 2)*(d - 1)**2*(3*d + 2)
Suppose 11*v + 9 = 14*v. Let q be (-196)/(-147)*v/2. Determine t so that 0 + 2/5*t + 2/5*t**q = 0.
-1, 0
Let r be ((-2)/7)/((-6)/14). Suppose -2*c - 5*u = -44 + 45, -6 = -2*c + 2*u. Factor -8 + r*q**3 + 32/3*q - 14/3*q**c.
2*(q - 3)*(q - 2)**2/3
Let x(i) = 2*i**3 - 8*i**2 - 223*i - 483. Let c be x(-7). Factor 2/15*f**2 + 4/5*f + c - 2/15*f**3.
-2*f*(f - 3)*(f + 2)/15
Factor -63 - 212 + 545*b + 26*b**3 - 183*b**2 - 15*b**2 - 67*b**2 - 31*b**3.
-5*(b - 1)**2*(b + 55)
Suppose -124 = 16*d - 76. Let j(a) = -4*a**3 - 10*a**2 - 8*a + 13. Let m(u) = -u**3 - u**2 - 2*u + 1. Let f(p) = d*j(p) + 15*m(p). Suppose f(b) = 0. What is b?
-1, 2, 4
Factor 800/7*d + 0 + 2/7*d**2.
2*d*(d + 400)/7
Let o(h) be the second derivative of 73*h**6/6 + h**5/10 - 5*h - 521. Factor o(p).
p**3*(365*p + 2)
Let y(f) be the second derivative of -f**6/150 + 9*f**4/5 + 72*f**3/5 + 1654*f. Find s such that y(s) = 0.
-6, 0, 12
Let v(h) be the first derivative of -h**4/6 - 1244*h**3/27 + 416*h**2/9 - 4391. Factor v(y).
-2*y*(y + 208)*(3*y - 2)/9
Let s(l) be the second derivative of l**6/10 - 9*l**5/5 - 47*l**4 + 672*l**3 + 18816*l**2 + 910*l + 1. Solve s(h) = 0.
-8, 14
Let u = -559308 -