130*h**3 - 890*h**2 + 50*h**4 - 1132 = 0.
-21, -6, -1, 4
Suppose -3*m + 0*b - 9 = 3*b, -b + 5 = 5*m. Find l, given that -14*l**5 - 5*l + 42*l**3 - 7*l - 4*l**4 - 14*l**2 + 4*l - 2*l**m = 0.
-2, -2/7, 0, 1
Factor 268/9*t**2 - 2/9*t**3 - 530/9*t + 88/3.
-2*(t - 132)*(t - 1)**2/9
Suppose 2*h = -8, 77*h = 3*u + 75*h - 209. Suppose n + 7 = 5*r, 70*n + r - 11 = u*n. Factor -1/5*y**n + 0*y + 0 - 1/5*y**2.
-y**2*(y + 1)/5
Let n(x) be the second derivative of 1/3*x**4 + 6*x**2 - 8/3*x**3 + 0 - 68*x. What is s in n(s) = 0?
1, 3
Let p(c) be the first derivative of -2*c**5/65 + 57*c**4/13 - 2088*c**3/13 - 6728*c**2/13 - 880. Solve p(v) = 0.
-2, 0, 58
Let 7/9*x**5 - 4*x + 29/9*x**3 - 10/3*x**4 + 22/9*x**2 + 8/9 = 0. Calculate x.
-1, 2/7, 1, 2
Let w(p) be the third derivative of -p**6/300 + 1151*p**5/50 - 1324801*p**4/20 + 1524845951*p**3/15 + 21*p**2 - 6*p - 8. Factor w(z).
-2*(z - 1151)**3/5
Let k(j) = 49*j**3 - 419*j**2 - 193*j - 40. Let d be k(9). Solve 3/2*m**2 + 0 - 1/2*m**d - 1/2*m**3 - 3/2*m**4 + m = 0 for m.
-2, -1, 0, 1
Solve 40*f**4 - 9798/7*f**3 - 2/7*f**5 + 1400*f + 0 - 40*f**2 = 0 for f.
-1, 0, 1, 70
Let a = -25122 - -326640/13. Determine d so that 16/13*d + a*d**2 + 8/13*d**4 + 38/13*d**3 - 8/13 = 0.
-2, -1, 1/4
Suppose -3*b + 2*l - 3*l = -127, -b - 4*l + 35 = 0. Let m be (b - 45)*(57/(-16) - 3). Factor 5/2 + m*o**2 - 12*o + 25/8*o**3.
(o + 5)*(5*o - 2)**2/8
Let n be 1*(70/(-5) - -5)*7. Let u be (-16)/n*(-414)/(-276). Find q such that 0*q**2 - 2/21*q**5 - 8/21*q**3 + 0 + 0*q + u*q**4 = 0.
0, 2
Let u(o) be the third derivative of o**5/100 - 1203*o**4/20 + 1447209*o**3/10 + 4840*o**2. Find r such that u(r) = 0.
1203
Suppose 0 = 2*h - 8, -3*b = 4*h + 14 - 39. Suppose -c = b*c. What is o in c*o**2 + 1 - 5 + 2*o**2 + 2*o**2 = 0?
-1, 1
Let z(i) be the third derivative of -i**7/105 - 24*i**6/5 - 287*i**5/30 - 462*i**2 - 6. Find g such that z(g) = 0.
-287, -1, 0
Let w(g) = 13*g**3 + 7*g**2 - 12*g + 2. Let a(c) = c**3 - c**2 + c - 1. Let d(z) = -2*a(z) - w(z). Solve d(n) = 0.
-1, 0, 2/3
Let c(y) be the second derivative of y**6/160 - y**5/10 + 21*y**4/32 - 9*y**3/4 - 91*y**2/2 - y + 14. Let t(j) be the first derivative of c(j). Solve t(m) = 0.
2, 3
Factor 274/3 + 820/9*o - 2/9*o**2.
-2*(o - 411)*(o + 1)/9
Let g(s) be the second derivative of s**4/9 - 28*s**3/9 - 784*s**2/3 + 2*s + 1098. Solve g(q) = 0.
-14, 28
Let d = 370735 + -1112204/3. Determine h, given that -d*h**2 + 25/3*h + 0 = 0.
0, 25
Suppose 12*w - 5*w = 4382. Suppose -618 = 4*m - w. Suppose 2/15*l**m + 0*l - 8/15 = 0. What is l?
-2, 2
Let a(x) be the second derivative of x**4/36 - 5*x**3/9 + 4*x**2 + 1013*x. Suppose a(k) = 0. What is k?
4, 6
Let j(f) be the first derivative of 5*f**4/12 - 3545*f**3/9 - 1780*f**2/3 + 7100*f/3 - 791. Let j(w) = 0. What is w?
-2, 1, 710
Factor -311676 + 126331*q + 203988*q - 5*q**4 + 575*q**3 - 34299*q - 22230*q**2 + 37316.
-5*(q - 38)**3*(q - 1)
Let s(v) be the second derivative of v**7/14 + 692*v**6/5 + 8289*v**5/10 + 2071*v**4 + 5521*v**3/2 + 2070*v**2 - v + 8240. Determine c so that s(c) = 0.
-1380, -1
Suppose -558*v = -570*v + 36. Determine f, given that -2/5*f**2 + 0 + 14/15*f**v - 4/15*f + 2/5*f**4 - 2/3*f**5 = 0.
-1, -2/5, 0, 1
Suppose 138*q + 315 = -202*q + 995. Factor 14/9*l**q - 38/9*l - 4/3.
2*(l - 3)*(7*l + 2)/9
Let b(l) be the third derivative of -7/12*l**5 + 1/42*l**7 + 0*l + 5/3*l**4 + 10*l**3 - 204*l**2 - 1/12*l**6 + 0. Find x such that b(x) = 0.
-2, -1, 2, 3
Let c(g) be the second derivative of -g**9/5040 + 13*g**8/2800 + g**7/100 + 173*g**3/6 + 136*g. Let n(z) be the second derivative of c(z). Factor n(a).
-3*a**3*(a - 14)*(a + 1)/5
Suppose -7394 - 5*j**4 + 25*j**3 + 7074 + 0*j**4 - 200*j + 150*j**2 = 0. Calculate j.
-4, -1, 2, 8
Let 2/5*f**3 + 2076/5 + 2072/5*f**2 - 830*f = 0. What is f?
-1038, 1
Let t(l) be the third derivative of 16*l**2 + 0*l**3 + 0*l + 7/60*l**5 + 1/8*l**4 + 0. Factor t(k).
k*(7*k + 3)
Let r(x) = 2*x**2 - 14*x - 4. Let b be r(8). Suppose b*j + 26 = 25*j. Let 2*i**4 - 7/2*i + 15/2*i**j + 1/2 - 13/2*i**3 = 0. What is i?
1/4, 1
Let m(w) be the second derivative of -2*w**6/15 - 27*w**5/5 - 61*w**4/3 + 1122*w**3 - 5780*w**2 + 7372*w. Determine p so that m(p) = 0.
-17, 2, 5
Let j(i) be the first derivative of 5*i**3/3 - 62*i**2 - 1915*i - 59. Let t(m) = -3*m**2 + 62*m + 957. Let a(l) = 4*j(l) + 7*t(l). Factor a(c).
-(c + 31)**2
Let l(t) be the first derivative of 2*t**3 + 0*t**2 + 7*t + 1/3*t**4 - 14. Let m(z) be the first derivative of l(z). Factor m(u).
4*u*(u + 3)
Let l(j) be the second derivative of 0*j**2 + 0 + 4/45*j**6 + 11/18*j**4 - 83*j - 13/30*j**5 - 2/9*j**3. Let l(g) = 0. Calculate g.
0, 1/4, 1, 2
Let n(m) be the third derivative of -m**7/420 + m**5/60 - 13*m**3/6 + 41*m**2. Let k(a) be the first derivative of n(a). Factor k(l).
-2*l*(l - 1)*(l + 1)
Let -117*p - 1014 - 519*p**2 + 1005*p**2 - 489*p**2 = 0. What is p?
-26, -13
Suppose 612*j**2 + 7*j**3 + 300*j + 3*j**5 + 90*j**4 + 259*j**3 + 133*j**3 = 0. What is j?
-25, -2, -1, 0
Let f(c) be the first derivative of 2*c**5/55 - 17*c**4/22 + 50*c**3/11 - 9*c**2 + 297. Factor f(a).
2*a*(a - 11)*(a - 3)**2/11
Let f = 21242 + -62633/3. Let g = f - 364. Factor -g*u**5 + 2/3*u**3 - 1/3*u + 2/3*u**2 - 1/3 - 1/3*u**4.
-(u - 1)**2*(u + 1)**3/3
Suppose 4*y - 54 = -k + 5, -127 = -2*k + y. Let s be -4 - 3/(3 + k/(-20)). Let 8*z - 12*z**4 - s*z**4 + 24*z**4 + 12*z**2 = 0. Calculate z.
-1, 0, 2
Let d be (-8)/3 + (-132468)/(-11970). Let -d*o - 2/15*o**3 + 2*o**2 + 98/15 = 0. Calculate o.
1, 7
Let r(g) be the second derivative of -g**6/5 + 51*g**5 - 254*g**4/3 + 1522*g**3/27 - 169*g**2/9 - 6150*g. Factor r(w).
-2*(w - 169)*(3*w - 1)**3/9
Factor -2/7*j**2 - 54/7*j - 36.
-2*(j + 6)*(j + 21)/7
Let s = 235/393 - -9/131. Let r(i) be the first derivative of -8*i - 4*i**2 - 7 - s*i**3. Factor r(n).
-2*(n + 2)**2
Suppose -68*i + 108*i - 135 = 65. Suppose 2 - 6 = -2*b. Suppose 5/2*f - 1/2*f**i + 2*f**4 - f**2 - 1 - b*f**3 = 0. What is f?
-1, 1, 2
Let g(n) be the third derivative of -46/3*n**3 + 0*n + 0 + 25/12*n**4 - 1/30*n**5 - 176*n**2. Factor g(o).
-2*(o - 23)*(o - 2)
Let t(o) be the first derivative of o**4/114 - 8*o**3/57 + 16*o**2/19 + 85*o + 79. Let n(f) be the first derivative of t(f). Factor n(q).
2*(q - 4)**2/19
Let p be 153870/(-10035)*(-1 + (-2)/(-4)) - 5. Factor 0*k + p*k**3 - 2/3*k**4 + 0 + 10/3*k**2.
-2*k**2*(k - 5)*(k + 1)/3
Factor -341/5*i**2 - 7/5*i**3 + 836/5 - 2828/5*i.
-(i + 11)*(i + 38)*(7*i - 2)/5
Let h(w) be the third derivative of 0 - 15/8*w**4 + 0*w + 1/6*w**5 + 32*w**2 + 10/3*w**3. Factor h(l).
5*(l - 4)*(2*l - 1)
Let i be (20 + -34)*(-29)/377. Factor -30/13*p - i*p**2 - 4/13.
-2*(p + 2)*(7*p + 1)/13
Let d(x) be the second derivative of -x**5/10 + 7*x**4/3 - 44*x**3/3 + 40*x**2 - 52*x + 18. Factor d(y).
-2*(y - 10)*(y - 2)**2
Let n = 36/97123 + 388312/485615. Suppose 16/5 + 2/5*t**3 + n*t - 2*t**2 = 0. Calculate t.
-1, 2, 4
Let h(n) be the second derivative of -23*n**4/3 - 140*n**3/3 + 186*n**2 + 4368*n. Factor h(c).
-4*(c - 1)*(23*c + 93)
Let b(h) be the second derivative of h**4/3 + 1900*h**3/3 + 451250*h**2 - 2*h - 87. Factor b(g).
4*(g + 475)**2
Let j = -4305 + 4307. Let -1/3 + 1/3*p**j + 0*p = 0. What is p?
-1, 1
Let g be 48/(-26)*13 + (-3 - -29). Determine r so that -18/7 - 2/7*r**4 - 16/7*r**3 - 44/7*r**g - 48/7*r = 0.
-3, -1
Let s(g) = -g**2 + 11*g + 36. Let l be s(-3). Let v be (-8)/(-20)*(-40)/l. Let -2/3*k**2 - v + 8/3*k = 0. Calculate k.
2
Factor -566*f + 116*f + f**4 - 440*f**2 - 6*f**4 + 1337 - 892 + 450*f**3.
-5*(f - 89)*(f - 1)**2*(f + 1)
Let -1/7*x**2 + 6/7*x - 5/7 = 0. Calculate x.
1, 5
Suppose f + 5*k = -282, f - 13*k = -10*k - 250. Let y = 1835/7 + f. Find b such that y*b**2 - 1/7*b**4 + 0 + 2/7*b**3 - 2/7*b = 0.
-1, 0, 1, 2
Factor 2976*x - 38*x**3 - 2980*x**2 - 2*x**4 - 64*x**3 + 749*x**3 + 105*x**3 - 4*x**2.
-2*x*(x - 372)*(x - 2)**2
Find i, given that -1/3*i**2 - 16*i - 84 = 0.
-42, -6
Solve 3*i**3 - 5627 + 3207 + 204*i + 3092 - 60*i**2 = 0 for i.
-2, 8, 14
Suppose 3*m + 147*l + 12 = 143*l, -18 = -3*m + l. Determine g, given that 4/7 + 5/7*g**3 - 1/7*g**5 + 1/7*g**m - 4/7*g - 5/7*g**2 = 0.
-2, -1, 1, 2
Let g(o) be the second derivative of -o**5/5 - 34*o**4/3 + 46*o**3/3 + 12696*o**2 - 316*o. Find s such that g(s) = 0.
-23, 12
Solve 0*i 