Let c be 9/(-18)*(2 - 10). Suppose 4*g = -l + 20, -2*g = -9*l + c*l + 78. Solve l*j - 4*j**2 - 45 + 45 = 0.
0, 4
Let j = 1/1353 + 4051/10824. Let b(w) be the first derivative of j*w**2 + 1/12*w**3 + 1/2*w - 8. Suppose b(h) = 0. What is h?
-2, -1
Factor -42278*g + 42512*g + 371*g**2 - 2*g**4 + g**3 - 129*g**2 + 4*g**3 + g**3.
-2*g*(g - 13)*(g + 1)*(g + 9)
Let n(i) be the first derivative of -i**5/5 + 47*i**4/4 + 395*i**3/3 - 927*i**2/2 + 486*i - 7832. Let n(j) = 0. What is j?
-9, 1, 54
Let y = -2564 - -2544. Let k be 45/81*(-4 - 88/y). Factor 4/9*g + 0 + k*g**2.
2*g*(g + 2)/9
Solve -5*g**2 + 9360 - 17991 - 25*g + 8961 = 0.
-11, 6
Let x(y) be the second derivative of 3*y**5/10 + 137*y**4/4 + 229*y**3 + 585*y**2/2 - 2*y + 969. What is s in x(s) = 0?
-65, -3, -1/2
Let w be 123/27 - (21 + (-1737)/81). Let z(m) be the first derivative of -5/9*m**2 + 2/9*m**3 + 4/9*m - 2/45*m**w - 6 + 1/18*m**4. Factor z(r).
-2*(r - 1)**3*(r + 2)/9
Let u = 836 - 843. Let j be 4 - -2*(1 + 9/u). Determine a, given that -4/7*a**2 - 20/7*a + j = 0.
-6, 1
Let h(w) = 14*w. Let a be h(0). Let i = 320 - 958/3. Suppose a + 1/3*j**3 - j + i*j**2 = 0. What is j?
-3, 0, 1
Let x be 1/(-12) + (-36)/(-576)*12. Let c(w) be the first derivative of 10/9*w**3 - 30 - x*w**2 - 1/2*w**4 - 2/15*w**5 + 0*w + 1/9*w**6. Factor c(n).
2*n*(n - 1)**3*(n + 2)/3
Suppose 0 = 4*y - 0*y + 3*o - 48, 0 = 5*o - 20. Let x(r) = -4*r + 38. Let d be x(y). Determine m so that -9*m + 35*m - 13*m**3 + 4*m - 99*m**d - 8*m**3 = 0.
-5, 0, 2/7
Let h be 1947364/145740 - 1/35. Suppose -94/3*t**2 + 64/3*t - 10/3*t**3 + h = 0. What is t?
-10, -2/5, 1
Suppose 17*k + 3*b - 36 = 13*k, 0 = 5*b. Let -189*a**2 - 8*a**4 + 21*a**3 - k*a**3 + 189*a**2 = 0. What is a?
0, 3/2
Let j(z) be the second derivative of 0*z**3 + 15/4*z**4 + 72*z - 1/4*z**5 + 0 + 0*z**2. Factor j(q).
-5*q**2*(q - 9)
Let m(d) be the first derivative of 2*d**5/25 + 166*d**4/5 + 18808*d**3/5 + 108896*d**2/5 + 215168*d/5 + 1030. Factor m(l).
2*(l + 2)**2*(l + 164)**2/5
Suppose -v - 30 = -8*c, 0 = 2*v + 2*c - 12 - 0. Factor -4/3*x + 4/3*x**3 + 2/3*x**v + 0 - 2/3*x**4.
-2*x*(x - 2)*(x - 1)*(x + 1)/3
Let n be (((-12)/(-15))/2)/(4/40). Find l, given that 28*l - 51*l - 8*l**3 - 20*l**2 + 3*l**3 + 43*l + 5*l**n = 0.
-2, 0, 1, 2
Let r(h) be the second derivative of -23*h**3 + 1/10*h**5 + 11/2*h**4 + 35*h**2 + 0 + 287*h. Factor r(o).
2*(o - 1)**2*(o + 35)
Factor -83/3*k**2 - 2 - 251/3*k.
-(k + 3)*(83*k + 2)/3
Let p(q) be the third derivative of -17/70*q**7 + 1/48*q**8 - 29/15*q**5 + 0*q**3 + 128 + q**4 + 0*q + 21/20*q**6 + 2*q**2. Suppose p(g) = 0. What is g?
0, 2/7, 2, 3
Let j(b) be the second derivative of 121*b**4/3 - 2288*b**3/3 + 5408*b**2 - 49*b + 8. Solve j(x) = 0 for x.
52/11
Let s(b) = -7*b**2 - 14*b + 4. Let p(g) be the third derivative of 2*g**5/15 + 13*g**4/24 - 5*g**3/6 - 2*g**2 + 14*g. Let j(k) = 4*p(k) + 5*s(k). Factor j(t).
-3*t*(t + 6)
Determine q so that -346 - 167/3*q + 1/3*q**2 = 0.
-6, 173
Let t = 152/25 + -436/75. Factor 0 + 2/5*w**2 + t*w + 2/15*w**3.
2*w*(w + 1)*(w + 2)/15
Let x(i) be the first derivative of i**6/2 + 42*i**5/5 - 24*i**4 + 2*i**3 + 93*i**2/2 - 48*i - 1840. Factor x(w).
3*(w - 1)**3*(w + 1)*(w + 16)
Suppose 53805*k - 54620*k = -1630. Determine a so that 0 + 1/3*a**4 + 0*a + 4*a**k - 8/3*a**3 = 0.
0, 2, 6
Let d(k) be the third derivative of -k**6/200 + 51*k**5/100 + 349*k**4/40 - 399*k**3/10 - 181*k**2 + 3*k. Factor d(v).
-3*(v - 57)*(v - 1)*(v + 7)/5
Let n(y) be the second derivative of -1/30*y**6 + 49 - 1/5*y**5 + 0*y**3 + 5/12*y**4 + 0*y**2 - y. Factor n(f).
-f**2*(f - 1)*(f + 5)
Let o(d) be the second derivative of -d**7/2940 + d**6/210 - 3*d**5/140 + d**4/21 - 3*d**3/2 - 68*d. Let k(y) be the second derivative of o(y). Factor k(i).
-2*(i - 4)*(i - 1)**2/7
Let g(r) be the first derivative of -r**6/33 + 18*r**5/55 + 37*r**4/22 - 554*r**3/33 - 624*r**2/11 - 640*r/11 + 3189. Solve g(d) = 0.
-5, -1, 8
Let m(r) be the first derivative of 3*r**4/8 + 9*r**3 + 42*r**2 - 288*r + 8358. Suppose m(l) = 0. Calculate l.
-12, -8, 2
Let v(z) be the first derivative of z**3/3 - 169*z**2 - 1023*z + 4380. Suppose v(c) = 0. What is c?
-3, 341
Let p(n) be the first derivative of -4*n**5/5 + 36*n**4 - 392*n**3/3 - 72*n**2 + 396*n - 12230. Solve p(r) = 0 for r.
-1, 1, 3, 33
Let g(y) be the third derivative of -y**6/1260 + 13*y**5/630 - 17*y**4/126 - 16*y**3/21 + 3*y**2 + 2*y + 60. Factor g(v).
-2*(v - 8)*(v - 6)*(v + 1)/21
Let i be 2/(-12) - (-95 - -84 - (-122)/12). Let w(g) = g**2 + 7*g + 6. Let n be w(-6). Factor n*y**2 - i*y**3 + 2*y + 4/3.
-2*(y - 2)*(y + 1)**2/3
Suppose 154*m + 104*m = 189*m + 428 + 8266. Factor -568/3*b**2 + 0 + 128/3*b - m*b**4 + 276*b**3 - 9*b**5.
-b*(b + 16)*(3*b - 2)**3/3
Let x(s) be the third derivative of -s**6/144 + 23*s**5/72 + 65*s**4/18 + 15*s**3 + 1503*s**2. Find v such that x(v) = 0.
-2, 27
Factor -4753*j + 5*j**2 - 4954*j + 760 + 9317*j.
5*(j - 76)*(j - 2)
Let v = -253248 + 253251. Find d such that -26/15*d**2 + 2/15*d**v - 8/3 + 64/15*d = 0.
1, 2, 10
Let a(n) be the third derivative of 23/24*n**4 - 1/180*n**5 - 34/9*n**3 + 0 + 0*n - 212*n**2. Factor a(u).
-(u - 68)*(u - 1)/3
Let y = 30 + -28. Suppose 0 = -5*l - 2*t + 9, -y*t - 3 = -t. Factor 189 + 2*h**l - 187 - 2*h**2 + 2*h**2 - 2*h**2 - 2*h.
2*(h - 1)**2*(h + 1)
Suppose -733*l = -3695 + 1496. Find h such that -6 + 15/8*h**5 + 99/8*h**4 + 57/2*h**l + 24*h**2 + 0*h = 0.
-2, -1, 2/5
Let v(w) be the third derivative of -32*w**2 + 0 + 1/420*w**6 + w + 1/70*w**5 - 1/84*w**4 - 1/7*w**3. Let v(b) = 0. Calculate b.
-3, -1, 1
Suppose 1908*h = 1881*h. Find j such that 2/3*j**2 + 2/3*j**3 + 0 + h*j = 0.
-1, 0
Let q(a) = -a**3 + 2*a**2 - 66*a + 710. Let f be q(7). Factor 7/3*d**f + d**2 + 0*d + 1/3*d**5 + 5/3*d**4 + 0.
d**2*(d + 1)**2*(d + 3)/3
Let g(d) be the third derivative of d**5/15 + 43*d**4/6 + 560*d**3/3 - d**2 - 8595. Suppose g(k) = 0. Calculate k.
-35, -8
Let p(y) be the first derivative of 27*y**4/4 + 13*y**3 + 20*y**2/3 + 4*y/3 + 233. Factor p(t).
(t + 1)*(9*t + 2)**2/3
Let -1/2*k**2 - 25 + 201/4*k = 0. Calculate k.
1/2, 100
Let j(i) be the first derivative of 2*i**3/57 - 80*i**2/19 - 328*i/19 - 2826. Factor j(p).
2*(p - 82)*(p + 2)/19
Let g be ((-399)/(-228))/(1/2*2). Suppose 3/4*p**3 + 1/2*p - 5/4*p**5 + 0 + 7/4*p**2 - g*p**4 = 0. What is p?
-1, -2/5, 0, 1
Find l such that 6508*l**2 - 13014*l**2 - 72 + 38*l + 6505*l**2 = 0.
2, 36
Suppose -148/7*z**4 + 0 - 2864/7*z**3 - 576*z**2 - 2/7*z**5 + 20736/7*z = 0. What is z?
-36, -4, 0, 2
Let f(a) be the third derivative of -a**6/40 + a**5 - 7*a**4/2 - 72*a**3 - 277*a**2 - 8*a. What is r in f(r) = 0?
-2, 4, 18
Let j(q) be the third derivative of q**5/12 + 1775*q**4/6 + 1260250*q**3/3 + 2902*q**2. Factor j(d).
5*(d + 710)**2
Let b(y) = -18*y**2 + 60*y + 293. Let a(n) = -58*n**2 + 180*n + 880. Let x(l) = 5*a(l) - 16*b(l). Factor x(c).
-2*(c + 6)*(c + 24)
Let o(r) be the second derivative of -25/12*r**4 - 65/6*r**3 - 27 + 15*r**2 - r. Factor o(d).
-5*(d + 3)*(5*d - 2)
Let o(g) be the third derivative of g**4/24 - g**3/2 - 18*g**2. Let v be o(6). Factor 329*x**2 - 329*x**2 + 5*x**v.
5*x**3
Let p(f) be the second derivative of -f**6/270 - 11*f**5/90 - 61*f**4/108 + 32*f**3/9 - 6*f**2 + 5597*f. Factor p(j).
-(j - 1)**2*(j + 6)*(j + 18)/9
Let i be (7/(42/24))/2. What is t in -142*t**3 - 6*t**i + 3 + 84*t + 21 + 121*t**3 = 0?
-2, -2/7, 2
Let i = 294668/13247 - 92/1019. Let f = -9/26 - -1/2. Let -48/13*j - f*j**2 - i = 0. Calculate j.
-12
Let n be (-3)/(-21) + 11/(462/1044). Let d be (-1 + (-66)/(-42))*70/n. Find i, given that 0 + d*i + 2/5*i**2 = 0.
-4, 0
Let f = 97 - 93. Factor 28*q**5 - 10*q**3 + 15*q**f - 98*q**5 + 34*q**5 + 31*q**5.
-5*q**3*(q - 2)*(q - 1)
Let k(c) = 5*c + 2. Let i(n) = 53*n + 25. Let j(f) = 2*i(f) - 22*k(f). Let y be j(1). Determine x so that 0*x - 1/2*x**y - 1/6*x**3 + 0 = 0.
-3, 0
Let i(p) = -43*p**2 - 3*p - 447. Let g(x) = 15*x**2 + x - 1. Let c(k) = -6*g(k) - 2*i(k). Solve c(t) = 0 for t.
-15, 15
Let y = 8979141461/35498301972 - 2/13070067. Let u = y - 2/679. Factor 1/2*j**2 - 1/4*j - 1/2 + u*j**3.
(j - 1)*(j + 1)*(j + 2)/4
Let k = 15740/6149 + -8/559. Let r(n) = -n**3 + 11*n**2 + 31*n - 339. Let f be r(11). Solve -k*a - 98/11 - 2/11*a**f = 0.
-7
Let g(u) be the first derivative of 112 - 2*u**2