*((-200)/5 - r). Factor -5*q**3 + 258*q**2 - a*q**2 + 5*q**3 + 3*q**4 - 9*q**3.
3*q**2*(q - 2)*(q - 1)
Let z(l) = -5*l**2 - 6*l + 3. Suppose -51 = 18*m - 141. Let o(w) = -w**2 - 2*w + 1. Let y(q) = m*z(q) - 20*o(q). Determine t so that y(t) = 0.
1
Factor -9674*q**3 + 4833*q**3 + 4821*q**3 - 8515*q + 1890 + 3825*q**2.
-5*(q - 189)*(q - 2)*(4*q - 1)
Let q = 5/1956 - -227/6846. Let f(h) be the second derivative of 1/14*h**3 - 9/7*h**2 - 15*h + 0 + q*h**4. Factor f(g).
3*(g - 2)*(g + 3)/7
Let z(k) = 260*k**3 + 860*k**2 - 26204*k + 157312. Let d(b) = -108*b**3 - 344*b**2 + 10482*b - 62925. Let a(g) = -12*d(g) - 5*z(g). Factor a(w).
-4*(w - 11)**2*(w + 65)
Let x = -82 - -78. Let s(k) = -3*k**5 + 3*k**3 - 5*k + 5. Let q(f) = 5 + 3*f**5 + 5 + 3*f**3 - 6 - 6*f**5 - 4*f. Let j(d) = x*s(d) + 5*q(d). Factor j(l).
-3*l**3*(l - 1)*(l + 1)
Let b = 53288/266465 + 1/53293. Solve -2/5*a**2 + 1/5*a + b*a**3 + 0 = 0.
0, 1
What is z in 687/4 - 3/4*z**2 - 171*z = 0?
-229, 1
Let p(d) = 22*d**2 - 112*d. Let t(v) = -8*v**2 + 37*v. Let f(s) = -3*p(s) - 8*t(s). Let h(n) = 3*n**2 - 40*n. Let x(b) = -2*f(b) - 3*h(b). Factor x(c).
-5*c*(c - 8)
Let f(a) be the second derivative of 59*a + 0 - 8*a**2 - 3*a**4 - 1/5*a**5 + 2/15*a**6 - 22/3*a**3. Factor f(l).
4*(l - 4)*(l + 1)**3
Let w(a) = 13*a**3 - 16*a**2 + 12*a + 45. Let v be w(10). Determine x, given that -v + 28*x**2 - 36*x**2 + 2745 - 420*x + 3*x**2 = 0.
-42
Solve 154*b**2 - 3*b**4 - 57*b**3 + 1196*b**2 - 3*b**3 - 7500*b + 9690 + 3435 = 0 for b.
-35, 5
Suppose 0 = 5*f - 570 + 175. Suppose 2*m - 154 = -k, -m + 5*m - 148 = -k. Find c, given that 3*c - f - 21*c + c**2 + k = 0.
9
Let u(z) = -z + 15. Let a(m) = -6*m**3 - m**2 + 2*m - 2. Let k be a(1). Let q be u(k). Factor 18*o - 12 - q*o + 3*o**3 - 18*o**2 + 31*o.
3*(o - 4)*(o - 1)**2
Let a = -1377 + 1379. Let q(b) be the second derivative of -5/3*b**3 + 0 + 25*b + 5/12*b**4 - 15/2*b**a. Factor q(u).
5*(u - 3)*(u + 1)
Let k = -232 - -355. Let p = k - 106. Suppose -20 - p*l**2 + 10*l + 21*l**2 + 6*l = 0. What is l?
-5, 1
Let d = -1693/2 + 8489/10. Let n = 4946/1545 + -2/1545. Solve n*v**2 + 2/5*v**4 + 12/5*v - d*v**3 - 18/5 = 0.
-1, 1, 3
Suppose 21 = 328*h - 330*h + 5*f, 2*h - 19 = -3*f. Let -126/13*z + 4 - 2/13*z**4 - 18/13*z**3 + 94/13*z**h = 0. What is z?
-13, 1, 2
Let h be -68 + -9 + -7 + 2 + 1. Let t be 18/2 - (-693)/h. Suppose 0 + t*y - 10/9*y**2 = 0. What is y?
0, 2/5
Let h(g) be the second derivative of -1/9*g**4 - 4*g**2 - 41 - 2*g - 10/9*g**3. Factor h(t).
-4*(t + 2)*(t + 3)/3
Let n(i) be the third derivative of -i**7/70 + 439*i**6/40 - 3200*i**2. Factor n(x).
-3*x**3*(x - 439)
Let v be 4/(1/2 - 15/6). Let f be ((-594)/(-12))/(-11)*v/3. Factor 2*y**4 - 14*y**2 - 8*y + y**f + 0*y**4 - 5*y**3 + 0*y**3.
2*y*(y - 4)*(y + 1)**2
Let i(v) be the first derivative of -v**3/21 - 15*v**2/7 - 23*v + 1137. Factor i(u).
-(u + 7)*(u + 23)/7
Let z(o) be the second derivative of -o**8/1680 - o**7/210 - o**6/90 - 127*o**4/6 + 85*o + 1. Let k(a) be the third derivative of z(a). Factor k(y).
-4*y*(y + 1)*(y + 2)
Suppose -56/3*l - 44/3*l**4 - 4/3*l**5 + 140/3*l**2 + 20*l**3 - 32 = 0. Calculate l.
-12, -1, 1, 2
Let k be 9839*(-10)/(-2210) - (-2)/(-442)*13. Factor -2/13*f**2 - 68/13*f - k.
-2*(f + 17)**2/13
Suppose -348*f = -1011 + 431 - 812. Determine w, given that 0*w**3 - 4/7*w**5 + 4/7*w + 10/7*w**2 - 10/7*w**f + 0 = 0.
-2, -1, -1/2, 0, 1
Let f(k) be the first derivative of -4*k**3/3 + 6260*k**2 - 9796900*k + 8349. Let f(u) = 0. Calculate u.
1565
Let y = 257 + -1312. Let t = 1059 + y. Suppose -1/2*m**2 + 0 + 3/4*m**3 + 0*m - 1/4*m**5 + 0*m**t = 0. Calculate m.
-2, 0, 1
Let k(o) = 2*o**2 + 56*o + 267. Let x be k(-22). Let i(n) be the first derivative of 8*n - 44 + 1/6*n**x + 2*n**2. Factor i(y).
(y + 4)**2/2
Let j(h) be the second derivative of -58/3*h**3 + 2*h - 14/3*h**4 - 4*h**2 - 45. Factor j(w).
-4*(w + 2)*(14*w + 1)
Let h be ((-6)/7)/((-396)/(-616)) + (-8)/(-6). Let y = 2/1099 - -940/1099. Factor y*t**2 - 6/7*t**4 + h + 0*t - 6/7*t**5 + 6/7*t**3.
-6*t**2*(t - 1)*(t + 1)**2/7
Let u be (1 + 1)/(2 - (-24)/(-27)). What is g in 3/5*g**2 - 3/5*g**5 + u*g**4 + 0 - 9/5*g**3 + 0*g = 0?
0, 1
Let b be (16/(-30))/(-2) - 99937/(-81030). Factor -7/4*f + b + 1/4*f**2.
(f - 6)*(f - 1)/4
Let k(y) be the second derivative of y**5/5 - 2*y**4/3 - 26*y**3/3 - 20*y**2 - 2*y + 2189. Suppose k(g) = 0. Calculate g.
-2, -1, 5
Let n(g) be the third derivative of g**7/70 + 3*g**6/40 - 4*g**5/5 + 3*g**4/2 - 482*g**2 + 2*g. Factor n(o).
3*o*(o - 2)*(o - 1)*(o + 6)
Let n(p) be the first derivative of -p**4 - 48*p**3 - 598*p**2 - 1056*p + 7270. Factor n(l).
-4*(l + 1)*(l + 11)*(l + 24)
Let n(l) = 222*l**2 - 12*l - 30. Let h be n(-2). Let d be ((-2)/(-8))/((h/(-108))/(-49)). Factor 9/2 - d*i**2 - 3*i.
-3*(i - 1)*(i + 3)/2
Let u(t) be the second derivative of t**4/18 - 199*t**3/27 - 6*t - 25. What is v in u(v) = 0?
0, 199/3
Let f(z) be the first derivative of -2*z**6/15 + 31*z**5/15 - 7*z**4/2 - 17*z**2/2 + 2*z + 295. Let q(y) be the second derivative of f(y). Factor q(x).
-4*x*(x - 7)*(4*x - 3)
Let p be 2 + 2 + 4/10*-5. Let i(o) be the second derivative of 2/21*o**4 - 1/7*o**3 + 0 + 8*o - 1/7*o**p. Factor i(h).
2*(h - 1)*(4*h + 1)/7
Find q, given that -4 - 4153*q + 4*q**2 + 0*q**2 + 2*q**5 - 8*q**3 + 4159*q + 0*q**2 = 0.
-2, -1, 1
Find p, given that 2/5*p**2 - 152 + 376/5*p = 0.
-190, 2
Let a(y) be the third derivative of y**6/1080 + y**5/30 - 13*y**4/72 + 86*y**3/3 - 5*y**2. Let x(j) be the first derivative of a(j). Let x(v) = 0. Calculate v.
-13, 1
Let v(f) be the third derivative of -f**6/120 - 11*f**5/60 + 25*f**4/24 - 13*f**3/6 - 121*f**2 - 6*f. Factor v(i).
-(i - 1)**2*(i + 13)
Let -897*a - 1/5*a**3 - 136/5*a**2 + 9522/5 = 0. Calculate a.
-69, 2
Factor 1204/17*g + 2/17*g**2 + 181202/17.
2*(g + 301)**2/17
Suppose 5*a = 5*k + 22575, -3*k + 2*k + 18085 = 4*a. Suppose 96 - 4366*l**3 - 2318*l**3 - 900*l**5 + 4290*l**2 - 282*l**2 - 1040*l + a*l**4 = 0. What is l?
2/9, 2/5, 1, 3
Let a(d) = 4*d**2 + 41*d + 89. Let w be a(-3). Factor -16/5 - 2/5*o**w - 18/5*o.
-2*(o + 1)*(o + 8)/5
Let p(j) = -3*j**3 + 93*j**2 + 3. Let c(b) = 3*b**3 - 95*b**2 - 4. Suppose -28 = -10*y + 17*y. Let v(t) = y*p(t) - 3*c(t). Solve v(o) = 0 for o.
0, 29
Let x(p) be the third derivative of p**5/30 + 169*p**4/6 + 28561*p**3/3 + 576*p**2. What is w in x(w) = 0?
-169
Factor -g**2 + 1/6*g**3 + 11/6*g - 1.
(g - 3)*(g - 2)*(g - 1)/6
Let i(z) be the second derivative of -z**5/10 - 259*z**4/2 - 517*z**3 - 775*z**2 - 5516*z. Factor i(v).
-2*(v + 1)**2*(v + 775)
Suppose -5*i - 4*o = -0*i - 16, 3*o = 12. Let w(c) be the third derivative of 1/90*c**6 + 16*c**2 + i*c - 1/18*c**4 + 0 - 2/3*c**3 + 1/15*c**5. Factor w(q).
4*(q - 1)*(q + 1)*(q + 3)/3
Let u(n) be the second derivative of -n**7/12600 + n**6/900 - n**5/150 - 61*n**4/12 - 36*n. Let k(r) be the third derivative of u(r). Factor k(i).
-(i - 2)**2/5
Factor 3*g**2 + 0*g**2 + 16 - 24*g + 108 - 151.
3*(g - 9)*(g + 1)
Let x be 423/1539 - (5 + 1316/(-266)). Factor -2/9*v**2 + x*v**3 - 2/9*v + 2/9.
2*(v - 1)**2*(v + 1)/9
Factor -123424944/11*w**3 + 704550722/11*w**4 + 8108208/11*w**2 - 236736/11*w + 2592/11.
2*(137*w - 6)**4/11
Let b(w) = -w**2 + 2944*w - 181501. Let t be b(63). Factor -2/11*r**3 - 12/11*r - 10/11*r**t + 0.
-2*r*(r + 2)*(r + 3)/11
Let l be 40/(-160)*3/(36/(-16)). Let r(w) be the third derivative of -1/60*w**5 - 1/8*w**4 + 0*w - 4*w**2 + 0 - l*w**3. Determine x, given that r(x) = 0.
-2, -1
Let i(y) = -2*y**2 + 42*y + 2. Let r be i(21). Solve c**r - c - 4*c - 6 + 0 = 0 for c.
-1, 6
Let p(a) be the third derivative of a**8/504 + 22*a**7/315 + 32*a**6/45 + 112*a**5/45 - a**2 - 1086*a. Determine n so that p(n) = 0.
-14, -4, 0
Let f be 18/(-22)*(-1650)/450. Let 8/15 + 4/15*b**f - 14/5*b**2 + 14/15*b**4 + 16/15*b = 0. What is b?
-2, -2/7, 1
Suppose -10*y = -13*y. Suppose y = -2*m - 3*m + 10. Factor 17*o**2 - 8*o**2 + 4*o**3 - 3*o**m - o**3 - 3*o**4.
-3*o**2*(o - 2)*(o + 1)
Let r(z) = z**2 + 2*z. Let a(m) = 2*m**3 + 44*m**2 - 110*m. Let t(f) = -a(f) + 8*r(f). What is n in t(n) = 0?
-21, 0, 3
Let k(o) = -8*o**2 + 607*o - 3. Let s(m) = 76*m**2 - 5464*m + 28. Let a(x) = 28*k(x) + 3*s(x). Factor a(u).
4*u*(u + 151)
Let 39136*h**2 + 241511 + 4*h**4 + 219952*h + 30709*h**2 - 169*h**3 - 759*h**3 -