*f**5/20 + 26*f**4 + 202*f**3 + 600*f**2 - 569*f. Find s such that b(s) = 0.
-100, -2
Suppose -9*i = -32 + 14. Suppose i*n**5 + 2*n**5 - 9 + 18*n**2 - 24*n**3 - 9 + 2*n - n**5 + 19*n = 0. Calculate n.
-3, -1, 1, 2
Let o(f) = f**4 + 31*f**3 + 63*f**2 + 37*f - 4. Let m = -184 + 180. Let q(x) = 2*x**4 + 32*x**3 + 63*x**2 + 38*x - 5. Let z(u) = m*q(u) + 5*o(u). Factor z(y).
-3*y*(y - 11)*(y + 1)**2
Let v = -66 + 135. Factor -25*y - 11 - 71*y**2 - 1 + v*y**2.
-(y + 12)*(2*y + 1)
Suppose -4 = 4*c, -3*h - 37*c + 38*c = -13. Factor -2912*q - 156*q**2 - 33*q**2 - 50*q**2 - h*q**3 + 19*q**2 + 3136.
-4*(q - 1)*(q + 28)**2
Let b(v) = -v**3 + 4*v**2 + 4*v + 7. Let k be b(5). Let f = -487 - -489. Let d**k - 64*d + 19*d + 3*d**f + 17*d = 0. What is d?
0, 7
Suppose 35*m - 30*m - 2*z = 14, 0 = 4*m - 5*z - 35. Suppose -12/5*p + 3*p**3 - 9/5*p**4 + 9/5*p**2 + m - 3/5*p**5 = 0. Calculate p.
-4, -1, 0, 1
Let y be (-4)/(516/5375)*(-3)/5. Let i(u) be the first derivative of 2/45*u**3 + 338/15*u - 26/15*u**2 - y. Factor i(w).
2*(w - 13)**2/15
Suppose -21*h + 18*h = 5*i + 4071, 0 = 2*h - 6. Let n be (-141)/(-102) - 96/i. Factor n - 3*a**2 + 3/2*a.
-3*(a - 1)*(2*a + 1)/2
Let j = 5 + -85/16. Let b = j + 17/16. Suppose -3 - 3*u - b*u**2 = 0. What is u?
-2
Let d be (-110)/33*(-6 + 0). Determine i so that -d*i**2 + 56 - 3*i - 10*i + 3*i - 2*i = 0.
-2, 7/5
Let w be (17 + -11 + -11)*(2 + 410/(-200)). Let 1/4*g**3 + 0 - 3*g + w*g**2 = 0. Calculate g.
-4, 0, 3
Let d be ((-220)/22)/((210/(-36))/5). Factor d*o**2 + 16 - 2/7*o**4 + 2/7*o**3 + 152/7*o.
-2*(o - 7)*(o + 2)**3/7
Suppose -7 = -b + d - 3, 4 = d. Factor b*u - 8*u**4 + 7*u**4 - 5*u + 6*u**3 - 9*u**2 + u.
-u*(u - 4)*(u - 1)**2
Let o(s) be the first derivative of s**4/6 - 2*s**3/9 - 16*s**2/3 + 32*s/3 - 730. Find i, given that o(i) = 0.
-4, 1, 4
Suppose 2*c - 3 = c - 3*y, c - 3*y = 3. Solve 48*d**3 - 15*d**2 + 10*d + 15*d**4 - 23*d**c - 30*d**3 - d**5 - 4*d**5 = 0.
-1, 0, 1, 2
Let t(m) be the third derivative of -1/25*m**5 + 1/300*m**6 + 0*m**3 + 0*m + 0 + 0*m**4 + 197*m**2. Factor t(z).
2*z**2*(z - 6)/5
Let m(r) be the second derivative of r**5/90 - 5*r**4/18 - 274*r**3/27 + 200*r**2/3 + 2*r - 2177. Factor m(p).
2*(p - 25)*(p - 2)*(p + 12)/9
Suppose f = 3*f - 4. Suppose -5*d - 1 = c, -2*c = -f*d - d - 11. Let -287*v + 282*v - c*v**2 - v**2 = 0. Calculate v.
-1, 0
Let o(g) be the third derivative of -5 + 0*g - g**2 - 2/39*g**3 + 5/156*g**4 + 1/130*g**5. Solve o(j) = 0 for j.
-2, 1/3
Solve -1/2*l**4 + 707*l**3 + 2125*l + 2124*l**2 + 1417/2 = 0.
-1, 1417
Let z be (-30)/(-8) + ((-66)/12 - (-512)/128). What is x in -z + 3/8*x**2 + 3/8*x = 0?
-3, 2
Let y = -130661/49434 + 1/3531. Let u = -1/7 - y. Solve 3/2 + 1/4*j + 3/4*j**3 - u*j**2 = 0 for j.
-2/3, 1, 3
Let d = -92 - -118. Suppose d*z = 33*z - 294. Determine j, given that j + z*j**2 - 3 - j + 15*j = 0.
-1/2, 1/7
Factor 8424020 - 10898*c + 8*c**2 - 3*c**2 + 23878*c.
5*(c + 1298)**2
Let t(s) = -s**2 - 396*s + 7593. Let x(h) be the third derivative of h**5/60 + h**4/24 + h**3/3 - 158*h**2. Let n(c) = -t(c) - 6*x(c). Factor n(l).
-5*(l - 39)**2
Let v(o) be the third derivative of o**6/300 + o**5/3 + 47*o**4/60 - 98*o**3/15 - 3426*o**2. Let v(t) = 0. What is t?
-49, -2, 1
Suppose -69*i + 295*i = 904. Let z(f) be the first derivative of -1/5*f**3 + 3/5*f + 1/5*f**2 + 16 - 1/10*f**i. Find d such that z(d) = 0.
-3/2, -1, 1
Let z(l) = 14*l**2 + 109*l - 15. Let m be z(-8). Factor -m*c + 5*c**4 + 3*c - 9*c**2 + 6*c**3 - 2*c**4 + 6*c**4.
3*c*(c - 1)*(c + 1)*(3*c + 2)
Let y be (51/(-2))/(3/6). Let a = -46 - y. Factor -a*q - 82 - 2*q**2 + 5*q**3 + 7*q**2 + 77.
5*(q - 1)*(q + 1)**2
Let g be 10 + (-14)/(-2) + -14. Factor -3*h**3 - 180*h**2 + 111 - 175*h + 3*h**g - 5*h**3 - 111.
-5*h*(h + 1)*(h + 35)
Suppose -1975*q + 6877 + 1242 = 219. Factor -8/5*p**2 - 6*p**3 - 7/5*p**q + 0 + 0*p.
-p**2*(p + 4)*(7*p + 2)/5
Suppose 39*b - 210*b = -684. Let -3/8*p**b - 21/2*p + 9/8*p**3 + 9/4*p**2 + 9 = 0. What is p?
-3, 2
Let j be (-792)/(-6)*2/6. Factor 31*t + 144*t**4 - 67*t - 96*t**3 + 32*t - j*t**2.
4*t*(t - 1)*(6*t + 1)**2
Let x(o) = -76*o**3 - 4*o**2 - 10*o. Let b be x(-2). Solve -756*t**2 + b*t**3 - 1212*t**3 - 4*t**4 + 5832 + 700*t**3 + 972*t = 0 for t.
-2, 9
Let b = 74478/13 - 223408/39. What is l in 2*l**2 - 2 - b*l + 2/3*l**3 = 0?
-3, -1, 1
Suppose -3*a - 6*l + 3*l + 12 = 0, 5*a = -l + 28. Suppose 3*g - 3 = a. Suppose 10*x**2 + 25*x**4 + 21*x**3 + 25*x**5 + 35*x**4 + 23*x**g + x**3 = 0. What is x?
-1, -2/5, 0
Let n(u) be the third derivative of 0 + 74*u**2 + 0*u + 1/60*u**5 + 29/6*u**4 + 1682/3*u**3. Find r such that n(r) = 0.
-58
Let y(u) be the first derivative of 4*u - 2*u**2 - 58 + u**4 - 4/3*u**3. Find i, given that y(i) = 0.
-1, 1
Let q(b) = b**3 - b**2 + b + 9. Let d(v) = -10*v**2 - 18*v - 2*v**3 + 524 + 0*v**3 - 2*v**3 - 542. Let y(f) = -d(f) - 2*q(f). Let y(s) = 0. Calculate s.
-4, -2, 0
Let b(n) = -37*n**4 - 3*n**3 + 44*n**2 - 33*n + 12. Let h(y) = 13*y**4 + y**3 - 15*y**2 + 11*y - 4. Let s(k) = -6*b(k) - 17*h(k). Factor s(x).
(x - 1)**3*(x + 4)
Let u(v) be the second derivative of v**5/70 + 16*v**4/21 + 220*v**3/21 - 576*v**2/7 - 442*v - 2. Suppose u(z) = 0. Calculate z.
-18, -16, 2
Suppose -30*b = -7 - 83. Let i(z) be the first derivative of 9/2*z**2 + 0*z + z**b + 3. Factor i(o).
3*o*(o + 3)
Suppose -5632*b**3 - 2/11*b + 0 + 64*b**2 = 0. What is b?
0, 1/176
Let o(t) = 3*t**3 + 309*t**2 - 966*t + 618. Let p(w) = w**3 + 77*w**2 - 242*w + 156. Let v(u) = 2*o(u) - 9*p(u). Factor v(q).
-3*(q - 2)*(q - 1)*(q + 28)
Let n(p) = 12*p**2 + 235*p + 345. Let r be n(-18). Determine d, given that -d**r + 5/3*d**4 - 8/3*d**2 + 4/3*d + 0 + 2/3*d**5 = 0.
-2, 0, 1/2, 1
Suppose -20*b + 19*b = 3*h + 4, b + 21*h + 40 = 0. Factor 0 + 3/4*j**3 + 0*j**b - 1/4*j**4 - j.
-j*(j - 2)**2*(j + 1)/4
Let b(u) be the second derivative of -4*u**7/7 + 2*u**6/3 + 23*u**5 - 275*u**4/3 + 262*u**3/3 + 60*u**2 - 1654*u. Let b(d) = 0. What is d?
-5, -1/6, 1, 2, 3
Let h(x) = -3*x**2 + 156*x - 1881. Let o be h(19). Factor -4/5*i - i**2 - 1/5*i**3 + o.
-i*(i + 1)*(i + 4)/5
Let q be 80/24 + -3 - (-5)/3. Find n such that -2*n**3 + n**3 + 4*n**3 - q*n**4 + n**4 = 0.
0, 3
Suppose -107*n - 50 = -112*n - 4*v, 12*n + 3*v - 54 = 0. Suppose 74/9*f - 26/9*f**n + 4/3 = 0. What is f?
-2/13, 3
Suppose 0 = s + 5*g + 5 + 5, 2*g = 4*s - 4. Let p(r) be the third derivative of -1/10*r**4 + s*r + 27*r**2 + 0 + 1/3*r**3 + 1/150*r**5. Factor p(w).
2*(w - 5)*(w - 1)/5
Let b be (1048 - 1048)/(2*(-3)/3). Factor b*k + 2/5 - 2/5*k**2.
-2*(k - 1)*(k + 1)/5
Let o(x) be the third derivative of -9/8*x**4 + 7/40*x**6 + 0*x**3 + 4 + 1/10*x**5 - 8*x**2 + 0*x. Suppose o(r) = 0. Calculate r.
-9/7, 0, 1
Let r(p) be the second derivative of -p**7/42 - p**6/3 + 3*p**5/5 + 133*p**4/6 + 245*p**3/6 + 553*p + 1. Factor r(t).
-t*(t - 5)*(t + 1)*(t + 7)**2
Let y(h) be the first derivative of -h**3/3 - 9*h**2 + 243*h + 3. Factor y(v).
-(v - 9)*(v + 27)
Let k(m) = 3*m**2 - 18*m + 32. Let i be k(4). Suppose 84*y**3 - i*y**2 - 35*y**3 - 9*y**3 + 45*y - 77*y**2 = 0. Calculate y.
0, 1, 9/8
Let w(j) = 3*j**4 - 117*j**3 - 2315*j**2 - 13935*j + 15. Let i(p) = -p**4 - p**3 + p**2 - 3*p - 3. Let k(s) = 5*i(s) + w(s). Factor k(b).
-2*b*(b + 15)**2*(b + 31)
Let w be (22/(-55))/((-1)/(-35)). Let l = w - -16. Suppose -4*m**4 + m**2 - 6*m**3 + 5*m**2 + l*m**2 + 2*m**3 = 0. Calculate m.
-2, 0, 1
Let i be (15 - 16) + 1/1*5. Factor 37*m**2 + m + 25*m**2 + 3*m - 10*m**3 - i*m.
-2*m**2*(5*m - 31)
Let w be (-8)/(-3)*((-66)/12 + 7). Let f = -6890 - -20672/3. Suppose -1/3*a**5 + 5/3*a + 4/3*a**w - 4/3*a**3 - f*a**2 - 2/3 = 0. What is a?
-1, 1, 2
Let d(b) = 2*b**3 + 13*b**2 + 10*b. Let l be d(-5). Let f be (-212)/(-20) + (-115)/l + 5. Factor 121/2 + 1/2*h**2 - f*h.
(h - 11)**2/2
Let m = -2222 + 2224. Let h(g) be the first derivative of 0*g + 4*g**m + 12 + 4/3*g**3. Find i, given that h(i) = 0.
-2, 0
Suppose 22 = -12*q + 34. Suppose 6*j = q + 17. Solve -40/19*f - 300/19*f**2 - 1000/19*f**j - 1250/19*f**4 - 2/19 = 0.
-1/5
Let j(t) be the second derivative of t**9/7560 - t**8/840 - t**4/6 + 41*t**3/6 - 100*t. Let w(k) be the third derivative of j(k). What is x in w(x) = 0?
0, 4
Suppose -18*r = 36 - 54. Let b be (r - 2)*-6*(-19)/(-38). Factor -b*k**2 + 0 - 1/2*k**3 - 9/2*k.
-k*(k + 3)**2/2
Let