*6 + z - 13. Let l(b) = 0. Calculate b.
-2, -1, -1/3
Suppose 58*p + 15 = -4*d + 63*p, 0 = -2*d - p + 3. Find z, given that 5/3*z**2 + 1/6*z**5 + d + z**4 + 1/2*z + 2*z**3 = 0.
-3, -1, 0
Let b(t) = 4*t + 4. Let a be (-4)/(-1) + (1 - 4). Let w be b(a). Determine k, given that 10 + 4*k**4 - w*k**2 - 6 + 0*k**2 = 0.
-1, 1
Suppose -2*u + 4*l - 5 = -15, 3*u + 3*l - 6 = 0. Find m such that 14 + 7*m**u - 20*m + 1/2*m**4 - 3/2*m**2 = 0.
-14, -2, 1
Factor 37*d + 7804524*d**3 + 4*d - 20 - d**2 - 7804526*d**3.
-(d - 4)*(d + 5)*(2*d - 1)
Let w(v) = v - 18. Let i be w(20). Suppose 20 = -5*t - 5*d, i*d - 4 = -4*t + 3*d. Let -3*g + 2 + t*g**2 + 0*g + 4*g - g**2 = 0. Calculate g.
-1, 2
Find i, given that 1/4*i**2 + 1008016 - 1004*i = 0.
2008
Find i such that 0 + 57/2*i**4 - 297/2*i**3 - 3/2*i**5 + 567/2*i**2 - 162*i = 0.
0, 1, 3, 12
Let b(c) be the first derivative of c**5/5 + 7*c**4/4 - 20*c**3/3 - 66*c**2 + 144*c + 1311. Factor b(t).
(t - 4)*(t - 1)*(t + 6)**2
Let o(y) be the second derivative of -y**5/40 - 35*y**4/8 + 1303*y - 2. Factor o(l).
-l**2*(l + 105)/2
Let q = 310 - 272. Suppose -q*a = -45*a + 14. Factor 0 + n - 1/4*n**a.
-n*(n - 4)/4
Let l = 387586232/9 - 42926646. Let o = l - 138352. Determine w, given that -40/9*w**3 + 2/9*w**4 + o - 1000/9*w + 100/3*w**2 = 0.
5
Let y be 26/1287*54 + (-142)/(-11). Determine t so that 32/11 - 600/11*t**2 - y*t**3 + 72/11*t = 0.
-4, -2/11, 2/7
Let d(b) = -218*b + 24636. Let q be d(113). Factor 20/3 + 15*v**q + 100/3*v.
5*(v + 2)*(9*v + 2)/3
Let x(g) be the third derivative of g**6/30 - 607*g**5/15 - 203*g**4 - 2*g**2 + 15. Determine u, given that x(u) = 0.
-2, 0, 609
Determine q so that 54*q - 25 + 290 + 269*q - 5*q**2 - 63*q = 0.
-1, 53
Solve 12*v**2 - 1 - 29*v**2 - 20*v - 5*v**5 + 8*v**4 + 25*v**3 + 21 - 8*v**2 - 3*v**4 = 0.
-2, -1, 1, 2
Let r be (24/(-28))/(5 - 39/7). Solve -r*g**2 - 108*g - 1944 = 0 for g.
-36
Let s(o) = 16*o**2 + 115*o + 23. Let j be s(-7). Factor 3/5*y + 1/5*y**j + 2/5.
(y + 1)*(y + 2)/5
Let h(j) be the third derivative of 0*j + 4*j**2 + 1/40*j**5 + 0*j**4 + 1/70*j**7 + 0*j**3 + 1/32*j**6 + 1/448*j**8 + 0. Determine y so that h(y) = 0.
-2, -1, 0
Let j(v) be the first derivative of -8/19*v**2 - 2/57*v**3 - 32/19*v - 14. Let j(x) = 0. Calculate x.
-4
Let z(f) be the second derivative of 5*f**4/12 + 80*f**3/3 - 546*f. Factor z(r).
5*r*(r + 32)
Let r(v) = 7*v**3 + 108*v**2 + 271*v - 15. Let y(k) = 11*k**3 + 163*k**2 + 406*k - 24. Let x(z) = 8*r(z) - 5*y(z). Factor x(d).
d*(d + 3)*(d + 46)
Let h(j) be the third derivative of j**6/420 - 11*j**5/10 - 78*j**4/7 - 940*j**3/21 + 111*j**2 + j + 4. Find m, given that h(m) = 0.
-2, 235
Let b be (-15)/(-2)*(-80)/60. Let n(f) = -2*f**2 - 25*f - 18. Let u(s) = s + 2. Let q(g) = b*u(g) + 2*n(g). Let q(h) = 0. Calculate h.
-14, -1
Let i(w) be the first derivative of -24*w - 69 + 26*w**2 + 20/3*w**3. Find l such that i(l) = 0.
-3, 2/5
Let y(r) be the third derivative of r**7/8820 - 2*r**6/315 + r**5/28 + 11*r**4/12 - 78*r**2. Let l(v) be the second derivative of y(v). Solve l(o) = 0.
1, 15
Suppose -k + 6 = -2*w, 3596*w - 46 = 3598*w - 5*k. Solve -1/2*q**5 + q**2 + 0 + w*q**3 - 3/2*q - q**4 = 0.
-3, -1, 0, 1
Let g(x) be the third derivative of x**5/60 - x**4/60 - 13*x**2 - 2. Factor g(i).
i*(5*i - 2)/5
Let s(p) be the first derivative of -7*p**6/15 + 58*p**5/25 + p**4 - 172*p**3/15 - 51*p**2/5 + 18*p/5 - 330. Solve s(w) = 0 for w.
-1, 1/7, 3
Suppose 2*p - 2*v + 546 = 544, -13*v + 13 = -p. Factor p + 8*w - 4/7*w**2.
-4*w*(w - 14)/7
Let t(n) be the second derivative of 2*n**6/7 + 17*n**5/5 + 10*n**4/3 - 376*n**3/21 + 16*n**2 - 1017*n. Determine f, given that t(f) = 0.
-7, -2, 2/5, 2/3
Let m(r) be the first derivative of 2*r**3/9 + 7390*r**2/3 + 27306050*r/3 - 6760. Factor m(p).
2*(p + 3695)**2/3
Suppose -2*j + 0*j - 19 = -5*u, 4*u - 2*j = 14. Suppose 0 = y + g - 3*g - 5, -5*y + 20 = -u*g. Let 0 + 0*x - 2/15*x**y - 2/15*x**2 = 0. What is x?
-1, 0
Let r(o) be the first derivative of -2/5*o**5 + 30 - 16*o**3 + 5*o**4 + 50*o - 10*o**2. Factor r(s).
-2*(s - 5)**2*(s - 1)*(s + 1)
Let f(h) be the second derivative of -13/6*h**3 + 1/24*h**4 - 3 + 12*h**2 + 78*h. Solve f(a) = 0 for a.
2, 24
Let i be (-567)/(-1782) + 10/55. What is h in -5/2 + 3*h - i*h**2 = 0?
1, 5
Let z(s) = -9*s**2 - 720*s + 631. Let c(f) = -20*f**2 - 1485*f + 1260. Let p(j) = 2*c(j) - 5*z(j). Factor p(g).
5*(g - 1)*(g + 127)
Let m = -47 - -77. Suppose -m = -3*b - 5*f, -4*f + 2*f - 9 = -3*b. Factor 12*k**3 - 4*k - 6*k**4 - 4*k**b + k**3 + 2*k**4 + 8*k**2 - 4 - 5*k**3.
-4*(k - 1)**2*(k + 1)**3
Let n be (-152)/1444 - 622*(-6)/76. Suppose 53 = -n*m + 200. Factor -7/2*h**2 + 0 - 3*h + 1/2*h**4 + 0*h**m.
h*(h - 3)*(h + 1)*(h + 2)/2
Let p(a) = -a**5 - 3*a**4 + a**3 - a**2. Let j(s) = -8*s**5 - 30*s**4 + 8*s**3 - 10*s**2. Let n(h) = -j(h) + 10*p(h). Suppose n(c) = 0. What is c?
-1, 0, 1
Let t be (-12)/10 + -38 + (-73684)/(-1820). Determine f so that -12/7 + 52/7*f + t*f**2 = 0.
-6, 2/9
Let n(v) be the third derivative of -v**5/240 + 137*v**4/4 - 112614*v**3 + 2627*v**2. Factor n(k).
-(k - 1644)**2/4
Let k(x) be the first derivative of x**6/48 + x**5/20 - 29*x**4/32 + 7*x**3/4 + 1244. Determine j, given that k(j) = 0.
-7, 0, 2, 3
Factor 947 + 0*i**3 + 1293 + 381*i**2 - 764 - 3*i**3 - 1488*i.
-3*(i - 123)*(i - 2)**2
Let a(w) be the first derivative of -3/4*w**2 + 3/16*w**4 - 11/12*w**3 + 2*w + 100. Factor a(r).
(r - 4)*(r + 1)*(3*r - 2)/4
Let h = 472 - 470. Suppose -116*r + 9 = h*y - 117*r, 4*y = -4*r. Factor -72/7*f**2 + 30/7*f**y + 0 + 24/7*f.
6*f*(f - 2)*(5*f - 2)/7
Suppose -9*q + 13*q - 8 = -2*x, -3*x - 2*q = -8. Solve -3*k**5 - 1518 + 7*k**4 + 18*k**3 + 1518 + 8*k**x = 0 for k.
-1, -2/3, 0, 4
Let q(k) be the third derivative of k**8/5040 - k**7/315 - k**6/36 + 97*k**5/60 - 44*k**2. Let t(c) be the third derivative of q(c). Find g such that t(g) = 0.
-1, 5
Let v(r) = 3362*r**3 - 3710*r**2 + 355*r - 1. Let i(t) = 13447*t**3 - 14839*t**2 + 1419*t. Let u(f) = -4*i(f) + 18*v(f). Factor u(s).
2*(s - 1)*(58*s - 3)**2
Let h be 6/(-2)*(27 - 9 - 23). Let z(j) be the third derivative of h*j**2 + 1/240*j**5 + 25/24*j**3 + 0 + 0*j + 5/48*j**4. Factor z(g).
(g + 5)**2/4
Let c = 54883/439384 - -5/54923. Suppose -16 + 7/4*p**2 - c*p**3 - 4*p = 0. What is p?
-2, 8
Factor -408 + 99*h**3 + 3*h**5 + 1149*h + 0*h**4 + 50*h**4 - 1002*h**2 - 33*h**4 + 49*h**4 + 93*h**3.
3*(h - 1)**3*(h + 8)*(h + 17)
Suppose 5*t - 205*f + 51 = -208*f, 0 = 3*t - 4*f - 68. Find m such that -19/4*m**2 - 1/4*m**4 + 3*m + 2*m**3 + t = 0.
0, 1, 3, 4
Factor 3*l**2 + 2835 - 52*l + 409*l - 2481.
3*(l + 1)*(l + 118)
Let i(m) = -5*m**5 - 13*m**4 + 10*m**3 - 8*m**2 + 24*m + 8. Let v(c) = c**5 + c**4 - c**3 + c**2 - 3*c - 1. Let j(k) = i(k) + 8*v(k). Let j(z) = 0. Calculate z.
0, 2/3, 1
Let c be (0 - 5/(-1)) + -1 + 176. Let s = -178 + c. Factor -9/7*n - 6/7*n**4 - 2*n**3 - 16/7*n**s - 1/7*n**5 - 2/7.
-(n + 1)**4*(n + 2)/7
Let t(u) = 10*u**2 + 44*u + 58. Let x = 311 + -300. Let c(v) = 18*v**2 + 89*v + 115. Let n(l) = x*t(l) - 6*c(l). Factor n(y).
2*(y - 26)*(y + 1)
Let b = 197 - -14. Factor b*p + 12 - 357*p - 4*p**4 + 24*p**2 + 178*p.
-4*(p - 3)*(p + 1)**3
Let w be 8 + (7 - 0) + -368. Let a = 363 + w. Suppose a*i - 20 - 5/4*i**2 = 0. What is i?
4
Let w(l) be the first derivative of -l**4/26 + 8*l**3/13 - 827. Factor w(v).
-2*v**2*(v - 12)/13
Let d(q) be the second derivative of -q**5/5 - 4*q**4/3 + 56*q**3/3 - 64*q**2 + 256*q. Let d(u) = 0. What is u?
-8, 2
Let -552/7*r**2 + 550/7*r**3 + 0*r + 0 + 2/7*r**4 = 0. What is r?
-276, 0, 1
Suppose -12*f + 4 = -10*f. Suppose f*q = 3*q + 3*a - 241, 0 = -5*q + a + 1125. Find r such that 107*r**2 + 110*r**2 - 16 - r**3 - 24*r - q*r**2 = 0.
-4, -1
Suppose -4*k + 15 + 5 = 0. Suppose 10*n + 23 = 2*s + k*n, 71 = 5*s + n. Suppose -28*f**3 + 4*f - 23 + s + 9 + 16*f**4 + 8*f**2 = 0. Calculate f.
-1/4, 0, 1
Suppose -93 - 47 = -28*j. Determine f so that -15*f**2 - 2*f**5 + 28*f**3 - 24*f + 9*f**2 - f**j - f**3 + 6*f**4 = 0.
-2, -1, 0, 1, 4
Let v(a) be the first derivative of a**4/34 + 4028*a**3/17 + 12168588*a**2/17 + 16338357488*a/17 + 843. Determine q, given that v(q) = 0.
-2014
Suppose -3507*j + 1699*j = -1442*j - 1098. Determine y, given that -12 + 117/5*y - 54/5*y**2 - 3/5*y**j = 0.
-20, 1
Let l(m) be the first derivative