-152) + -1*(0 + -6). Let o be (-214)/(-70) + d/3185. Factor 128/3 - 32*l + 8*l**2 - 2/3*l**o.
-2*(l - 4)**3/3
Suppose -t + 10*t - 676 + 658 = 0. Let k(o) = o + 4. Let c be k(0). Solve 0*g + 5*g + 5*g**c - 5*g**2 + 0*g**t - 5*g**3 = 0.
-1, 0, 1
Let d(g) be the second derivative of -5*g**4/12 - 5005*g**3/6 + 2505*g**2 + 10*g + 119. Factor d(u).
-5*(u - 1)*(u + 1002)
Let d = 13 + 27. Let g = d - 38. Factor 5*p**2 + g*p - 3*p**3 - p**4 - p**5 + 2*p**3 + 4*p**3.
-p*(p - 2)*(p + 1)**3
Let d(j) = j**2 - 6*j - 32. Let h be d(-12). Find k, given that 771*k**2 + 7 - 128*k + 1620*k**2 - 5 - h*k**2 - 159*k**2 = 0.
1/32
Let w(f) = 48*f - 1149. Let c be w(24). Let r(n) be the second derivative of -2/7*n**4 - 3/140*n**5 + 0 - 26*n - 8/7*n**c + 0*n**2. Factor r(d).
-3*d*(d + 4)**2/7
Let d = 1099/13260 - -1/2210. Let o(y) be the first derivative of -y - 5/8*y**2 - 10 - d*y**3. Let o(m) = 0. Calculate m.
-4, -1
Let d(v) be the third derivative of v**5/180 - 533*v**4/36 + 284089*v**3/18 + 2376*v**2. Suppose d(k) = 0. What is k?
533
Let l(n) be the first derivative of -n**4/38 - 2*n**3/19 + 18*n**2/19 + 80*n/19 - 2147. Factor l(j).
-2*(j - 4)*(j + 2)*(j + 5)/19
Let s(q) = -q**3 + 3*q**2 + 12*q - 13. Let w be s(5). Let z be 0/(6/w + -2). Find m such that z + 4/5*m - 2/5*m**2 = 0.
0, 2
Let 79*z**3 + 690*z**2 - 692 + 2*z**4 + 98*z**3 + 29*z**3 - 350*z + 144*z**3 = 0. What is z?
-173, -2, -1, 1
Let j(q) = q**2 + 21*q + 1. Let r(c) = -8*c**2 - 3114*c - 1116024. Let b(l) = 6*j(l) + r(l). Determine i so that b(i) = 0.
-747
Suppose 0 = 1536*t - 1983*t + 765 + 129. Determine y so that t*y**4 + 1/2*y**5 - y**2 - 1 + 2*y**3 - 5/2*y = 0.
-2, -1, 1
Let x(i) be the second derivative of -i**6/60 + 3*i**5/8 - 77*i**4/24 + 55*i**3/4 - 63*i**2/2 - 981*i - 1. Suppose x(z) = 0. What is z?
2, 3, 7
Let m(l) be the third derivative of -2*l**2 + 4/3*l**4 - 8/3*l**3 + 0 - 1/3*l**5 + 1/30*l**6 - 48*l. Suppose m(j) = 0. What is j?
1, 2
Suppose d = -4*c + 24, 8*c - 6 = 5*c. Solve -2*j**4 + 5*j**4 - 17*j + 4*j**3 - 4*j**4 + j + d = 0 for j.
-2, 2
Suppose 8/5*n + 8/5 - 2*n**2 + 2/5*n**5 + 2/5*n**4 - 2*n**3 = 0. Calculate n.
-2, -1, 1, 2
Suppose 80 + 88*t - 25*t**2 - 55*t**4 + 8*t**3 + 4183*t**5 + 192*t**3 - 4193*t**5 - 278*t = 0. What is t?
-8, -1, 1/2, 1, 2
Let c(i) be the first derivative of -i**5/140 - 11*i**4/14 - i**2 + 36*i + 210. Let p(x) be the second derivative of c(x). Factor p(v).
-3*v*(v + 44)/7
Factor 155*n**3 + 707*n**3 - 605*n**4 + 6720*n**2 + 623*n**3 + 4900*n.
-5*n*(n - 5)*(11*n + 14)**2
Suppose 30 - 2 = 14*z. Suppose -2292 = -3*v - 2*m, -1544 = -3*v + v + 4*m. Let -3*a**z + 766*a - v*a = 0. What is a?
0
Factor -299 + 19 - 33*n**2 + 701*n - 44 + 81*n + 121*n.
-3*(n - 27)*(11*n - 4)
Suppose -5*j = -3*d + 8*d - 15, 2*j + 4*d - 8 = 0. Suppose -v = -4*p - j, 2*p + 0*p = v - 2. Determine r so that -2/9*r + p - 2/9*r**2 = 0.
-1, 0
Let -70*p - 240 - 7*p**3 + 15*p**4 + 11*p**3 - 5*p**4 - 8*p**3 + 109*p**3 + 195*p**2 = 0. What is p?
-8, -2, -3/2, 1
Let a be -16 + 13 - (-1 + -2). Suppose a = -3*i - p + 4, 2*i = -i - 3*p + 12. Factor 1/5*g**3 + i - 3/5*g + 2/5*g**2.
g*(g - 1)*(g + 3)/5
Let v(u) be the second derivative of 25*u**4/21 + 130*u**3/7 + 1521*u**2/14 - 1835*u. What is a in v(a) = 0?
-39/10
Find g, given that -4*g**2 - 24 + 143*g - 232 - 279*g = 0.
-32, -2
Let f be (-26)/7 + 2 - ((-11)/(-66))/(68/(-816)). Suppose -30/7*s**3 + 0 + 16/7*s**4 + f*s + 12/7*s**2 = 0. Calculate s.
-1/8, 0, 1
Factor -1140*u - 561/2*u**2 - 1146 + 3/2*u**3.
3*(u - 191)*(u + 2)**2/2
Let u = 181 - 170. Let n(r) be the second derivative of -1/6*r**6 - 3/4*r**5 - 5/6*r**4 + 0*r**3 + 0 + 0*r**2 - u*r. Factor n(l).
-5*l**2*(l + 1)*(l + 2)
Let x = 481727/34160 - -199/4880. Factor -27/7*p**2 + x - 75/7*p + 3/7*p**3.
3*(p - 11)*(p - 1)*(p + 3)/7
Let d = 2012 + -2009. Let u be ((4 + -3)*-1)/((-2)/4). Factor -6/13*j**u + 0 - 2/13*j**4 + 6/13*j**d + 2/13*j.
-2*j*(j - 1)**3/13
Let p(t) = 5*t**2 - 8*t - 1. Suppose 4*v + 3 = 7*v - 3*f, 4*f = 5*v - 3. Let r be p(v). Factor -r*j**3 + 3*j**2 + 9*j**3 + 3*j**4 - 9*j**2.
3*j**2*(j - 2)*(j + 1)
Solve 153*i**2 - 370*i + 365 + 0*i**4 - 513*i**2 - 5*i**4 + 370*i**3 = 0.
-1, 1, 73
Let d(b) be the second derivative of b**4/60 + 164*b**3/5 + 121032*b**2/5 - 1333*b. Factor d(f).
(f + 492)**2/5
Suppose 0 = 112*a - 107*a. Suppose a = 8*u - 9*u + 9. Factor 0*k - 4*k - 4*k + 4 + u*k**2 - 5*k**2.
4*(k - 1)**2
Let l(f) be the third derivative of -f**6/40 - 153*f**5/4 - 18336*f**4 - 72962*f**3 + 2*f**2 - 4*f - 142. Find t such that l(t) = 0.
-382, -1
Determine t so that -13 + 23/2*t**2 - 3/2*t = 0.
-1, 26/23
Let l(s) = -s**3 - 18*s**2 + 3. Suppose 2*b = 3*z - 36, 5*b + 6*z = 7*z - 90. Let c be l(b). Factor 16*w + 3*w**2 - 98*w**3 + 102*w**c - 19*w**2.
4*w*(w - 2)**2
Let t(h) be the third derivative of -h**8/1260 - h**7/210 + 2*h**5/45 - 31*h**3/6 + 60*h**2. Let y(z) be the first derivative of t(z). Factor y(p).
-4*p*(p - 1)*(p + 2)**2/3
Let h(b) = 9*b**2 - 20*b + 115. Let s(y) be the first derivative of -y**3 + 3*y**2 - 39*y - 72. Let q(c) = -6*h(c) - 17*s(c). Let q(u) = 0. Calculate u.
3
Let q(l) be the second derivative of l**7/126 + l**6/10 - l**5/20 - 29*l**4/36 - l**3 + 1786*l. Solve q(d) = 0 for d.
-9, -1, 0, 2
Let a(b) = -b**3 + b**2 + 6*b + 7. Let d be a(-3). Suppose 23 = 8*g - d. Factor 4*x**4 + 22*x**2 + 32*x + 6*x**2 + g*x**3 + 20*x**2 + 18*x**3.
4*x*(x + 2)**3
Let h be (0/(-465))/((-68)/(28/7)). Let v be (-4)/18*-1*15. Factor 5/3*z + h - v*z**2 + 5/3*z**3.
5*z*(z - 1)**2/3
Let m be (-28)/56*(1 - 36/35). Let d(g) be the second derivative of 0 - 3/14*g**4 + 0*g**5 - 9/14*g**2 - 4/7*g**3 + m*g**6 - 8*g. Factor d(s).
3*(s - 3)*(s + 1)**3/7
Let p(y) be the second derivative of -y**5/50 - y**4/3 - 3*y - 150. Factor p(a).
-2*a**2*(a + 10)/5
Factor 1170/7 - 64/7*v - 2/7*v**2.
-2*(v - 13)*(v + 45)/7
Solve 405*n + 5/3*n**5 - 1220/3*n**3 + 60*n**4 + 570*n**2 - 630 = 0.
-42, -1, 1, 3
Let h be ((-6)/30)/((-4)/1660). Suppose 2*j - 2*x - 14 = 0, -5*j = 3*x + x + 1. Suppose 12*z**j + 175*z - h - 7*z**3 + 28 - 70 - 55*z**2 = 0. What is z?
1, 5
Suppose -4*u + 2*u = -2*p, -2*u + 3*p - 2 = 0. Suppose -m**2 + u*m + 53 + 3*m**2 - 65 = 0. Calculate m.
-3, 2
Let t(a) be the second derivative of -3/20*a**5 + 1/4*a**4 + 0*a**2 + 0 + 0*a**3 - 65*a. Factor t(w).
-3*w**2*(w - 1)
Let f(k) = 598*k - 147*k + 184 - 150*k - 142*k - 144*k. Let b be f(-12). Solve -6/5*x + 9/5*x**3 + 0 - 3/5*x**2 - 3/5*x**5 + 3/5*x**b = 0 for x.
-1, 0, 1, 2
Let r(u) be the third derivative of 6*u**2 - 5 - 1/150*u**5 + 13/15*u**3 + 0*u - 1/5*u**4. Suppose r(b) = 0. What is b?
-13, 1
Let u(j) be the second derivative of j**5/120 - 233*j**4/24 + 54289*j**3/12 - 12649337*j**2/12 - 71*j. Determine z so that u(z) = 0.
233
Let j(d) be the third derivative of d**5/30 - 20*d**4 - 747*d**3 - 7*d**2 + 614*d - 1. Factor j(m).
2*(m - 249)*(m + 9)
Let t(g) be the third derivative of g**5/12 - 7*g**3/6 + 9*g**2 - 2*g. Let v(s) = 4*s**2 - 2*s - 6. Let u(c) = -6*t(c) + 7*v(c). Let u(m) = 0. Calculate m.
-7, 0
Let y(j) be the second derivative of -j**7/70 + 7*j**6/25 - 87*j**5/100 - 11*j**4/5 + 1182*j. Solve y(v) = 0 for v.
-1, 0, 4, 11
Let k be 3 - 68/20 - (-111)/15. Let h(b) = 5 - 13 + k. Let r(q) = -4*q**2 + 3*q - 3. Let p(n) = -3*h(n) + r(n). Determine w, given that p(w) = 0.
0, 3/4
Suppose 0 = -a + 3*o, 5*o = 4*a + 56 - 56. Let h(n) be the second derivative of -8*n + a + 1/3*n**4 + 72*n**2 + 8*n**3. Factor h(q).
4*(q + 6)**2
Let a be (-437)/161 - ((-66)/11)/2. Factor 0 - 16/7*j**2 + 2*j**3 + 0*j + a*j**4.
2*j**2*(j - 1)*(j + 8)/7
Let f be (-2)/(-5) + (-86)/(-10). Let p = -1 + f. Solve -8*s + 0*s - p*s - 20*s**2 + 11*s = 0 for s.
-1/4, 0
Let m(f) = -37*f**3 + 5640*f**2 + 11314*f + 5780. Let q(g) = -7*g**3 + 1128*g**2 + 2263*g + 1154. Let z(t) = 2*m(t) - 11*q(t). Solve z(w) = 0 for w.
-1, 378
Let p = -912 - -909. Let k be p/(-33)*2/(-3)*-3. Factor k*v**5 + 72/11*v + 4/11*v**4 - 2*v**3 + 0 - 24/11*v**2.
2*v*(v - 2)**2*(v + 3)**2/11
Let d be (-12)/(-66) + (-82166)/(-22). Let o be 1/((-2)/(-12))*83/d. Factor 0 - o*m**2 + 4/5*m.
-2*m*(m - 6)/15
Let 1/3*x**4 + 0 - 158/3*x + 317/3*x**2 - 160/3*x**3 = 0. What is x?
0, 1, 158
Factor -2*j**2 - 17*j + 2*j + 2*j - 14*j - 13*j + 42.
-2*(j - 1)*(j + 21)
Suppose -42*y + 597*y**2 - 10*y + 575*y**2 + 4 -