7.
3*(i - 209)*(i - 2)**2/7
Let n be (3 - (-135)/(-25))*(-80)/6. Factor -1560*f + n + 24*f**2 + 788*f + 4*f**3 + 712*f.
4*(f - 1)**2*(f + 8)
Let h be (-27)/6*(-8)/(-4). Let x = 13 + h. Find m such that -48*m + 21*m**3 + 42*m**2 + x + 7 - 27*m**4 + 51*m**3 - 2 = 0.
-1, 1/3, 3
Suppose 6*w - 407 = 73. What is k in 29*k + 0*k - 20 - w + 0*k + 11*k - 4*k**2 = 0?
5
What is r in 116/23*r**2 - 10/23*r + 8/23*r**3 + 2/23*r**5 - 16/23*r**4 - 100/23 = 0?
-2, -1, 1, 5
Let d(w) be the second derivative of w**6/60 + 23*w**5/2 + 4331*w**4/2 - 53360*w**3/3 + 53824*w**2 + w + 3376. Factor d(y).
(y - 2)**2*(y + 232)**2/2
Factor -32 + 2*v**4 + 1463*v**2 - 10 - 52*v**3 + 44*v + 8*v**3 - 1423*v**2.
2*(v - 21)*(v - 1)**2*(v + 1)
Let z be (-2 - (2 + 19/(-4))) + (-1040)/(-832). Let w(p) be the second derivative of 0*p**3 + 1/8*p**z + 3*p + 0 - 1/48*p**4. Factor w(g).
-(g - 1)*(g + 1)/4
Let x be (-14 + 24)/(1/(1/2)). Factor -63*l**5 - 8*l**4 + 21*l**5 + 20*l**5 + 20*l**x - 6*l**3.
-2*l**3*(l + 1)*(l + 3)
Suppose -155*a + 20187 = 19722. Let 0*y - 4/7*y**a - 6/7*y**2 + 2/7 = 0. Calculate y.
-1, 1/2
Suppose 2*x - 7 - 3 = 0. Suppose -x = -i + 35. Solve -3*z - i*z**3 + 43*z + 8 + 37*z**2 - 50*z**4 + 5*z**2 = 0.
-1, -2/5, 1
Let q(u) be the third derivative of 0 + 1/240*u**5 - 1/840*u**7 + 1/480*u**6 - 1/96*u**4 - 28*u**2 + 0*u + 0*u**3. Factor q(r).
-r*(r - 1)**2*(r + 1)/4
Let j(w) be the first derivative of 24/7*w**3 + 78/7*w**2 + 80 - 1/7*w**4 + 80/7*w. Factor j(m).
-4*(m - 20)*(m + 1)**2/7
Determine j, given that 276 - 896*j**2 + 292*j**2 + 302*j**2 + 272*j + 298*j**2 = 0.
-1, 69
Let h be (-2)/(-17) - 0/15. Let f(o) be the second derivative of 7/170*o**5 + 1/17*o**3 + 5*o - h*o**4 + 2/17*o**2 + 0. Find v, given that f(v) = 0.
-2/7, 1
Let y(n) = n**3 - 19*n**2 + 18*n - 4. Let t be y(18). Let g be 6 - (0 - 0 - 10/t). Find p such that -8 + 4*p + 1/2*p**3 + g*p**2 = 0.
-4, 1
Suppose 122*i - 29/2*i**2 + 30 - 84*i**3 + 2*i**5 + 49/2*i**4 = 0. Calculate i.
-15, -1, -1/4, 2
Let h be (-34)/(-6) - 6/2. Suppose 18*c - 27 + 3 = 6*c. Suppose -8/3 - 2/3*o**c + h*o = 0. What is o?
2
Let q(y) = -y**2 + 4*y. Let a be q(3). Suppose a*s = -s + 12. Let -4*o**3 + s*o**4 + 2*o**5 + 2*o**5 - 2*o**3 - o**5 = 0. Calculate o.
-2, 0, 1
Let x(p) = 84*p**2 - 17695*p - 7596. Let r(j) = 140*j**2 - 29492*j - 12660. Let t(w) = 7*r(w) - 12*x(w). Factor t(h).
-4*(h - 211)*(7*h + 3)
Let 2/11*t**3 + 0 + 104/11*t + 56/11*t**2 = 0. What is t?
-26, -2, 0
Let i = 238508 - 2146570/9. Determine k so that -i*k**3 - 26/9*k**2 + 32/9*k + 56/9 = 0.
-14, -1, 2
Let j = 200102 - 200098. Find u such that -320/3*u - 256/3 - 48*u**2 - 2/3*u**j - 28/3*u**3 = 0.
-4, -2
Let -74056217911443/2 - 66447929934*k - 13374*k**3 - 44715969*k**2 - 3/2*k**4 = 0. What is k?
-2229
Let h = 239923/3 - 79957. Suppose 4/3*o**3 - 32/3*o**2 - 8 + h*o = 0. What is o?
1, 6
Suppose 0 = 2*o - 2*t + 2540, -4*o - 183*t = -184*t + 5080. Let l = o + 1274. Suppose 1/5*g**l + 0*g**3 + 2/5*g - 3/5*g**2 + 0 = 0. Calculate g.
-2, 0, 1
Let p(s) = 20*s**4 - 83*s**3 + 459*s**2 - 1003*s + 631. Let c(b) = 55*b**4 - 248*b**3 + 1374*b**2 - 3008*b + 1891. Let z(v) = -3*c(v) + 8*p(v). Factor z(g).
-5*(g - 5)**3*(g - 1)
Let c(m) be the third derivative of 1/120*m**5 - 12*m**2 + 0 - 3*m + 1/3*m**4 + 5/4*m**3. Suppose c(o) = 0. Calculate o.
-15, -1
Let c(z) be the first derivative of 3*z**3 + 7/2*z**2 + 2*z - 66 + 5/4*z**4 + 1/5*z**5. Determine t, given that c(t) = 0.
-2, -1
Let s(g) be the second derivative of -7/3*g**3 - 4*g**2 + 11/20*g**5 + 0 + 3/4*g**4 + 1/15*g**6 + 22*g. Determine a, given that s(a) = 0.
-4, -2, -1/2, 1
Factor 957*r - 3 - 9 - 1309*r**2 - 6275*r**2 - 9 - 9 - 768*r**3.
-3*(r + 10)*(16*r - 1)**2
Let d(r) be the third derivative of 0*r**3 + 0*r**5 + 0*r**4 - 1/2856*r**8 - 2/1785*r**7 + 2*r**2 - 1/1020*r**6 + 0*r + 0. Factor d(v).
-2*v**3*(v + 1)**2/17
Let u(z) be the first derivative of 3*z**5/5 - 42*z**4 + 159*z**3 + 6*z**2 - 636*z + 5197. Factor u(i).
3*(i - 53)*(i - 2)**2*(i + 1)
Solve -3/4*n**4 + 3 - 9/4*n**2 - 15/4*n**3 + 15/4*n = 0 for n.
-4, -1, 1
Let t be 1*8/(-40) + (-669)/180 + 4. Let f(m) be the first derivative of 1/16*m**4 + 1/20*m**5 + 32 - 1/8*m**2 + 0*m - t*m**3. Determine h so that f(h) = 0.
-1, 0, 1
Suppose 5*w = -2*f + 18, 14*w + 7*f = 15*w - 11. Factor 0 + 1/4*y**w - y**2 + 2*y - 1/2*y**3.
y*(y - 2)**2*(y + 2)/4
Determine y so that 5*y**4 + 116*y**2 - 4*y**2 - 625*y - 54*y**2 + 25*y**3 - 65*y**2 - 118*y**2 = 0.
-5, 0, 5
Let j(z) be the second derivative of -z**5/30 + 5*z**4 - 300*z**3 - 127*z**2/2 - 144*z. Let f(x) be the first derivative of j(x). Factor f(q).
-2*(q - 30)**2
Let c(z) be the first derivative of -z**4/18 + 32*z**3/9 + 11*z**2 + 117*z + 76. Let d(h) be the first derivative of c(h). Solve d(k) = 0 for k.
-1, 33
Let o(k) be the first derivative of -k**6/6 + 5*k**4/6 - 5*k**2/2 + 81*k + 32. Let t(c) be the first derivative of o(c). Factor t(u).
-5*(u - 1)**2*(u + 1)**2
Let j be -3 - (35*(-11)/55 + (-95)/(-25)). Suppose -4*h + 6 = -h. Factor -1/10 - j*u - 1/10*u**h.
-(u + 1)**2/10
Let s(m) = 11*m - 22. Let q be s(8). Factor 21*k**4 - 19*k**4 + 8*k**3 - q*k + 2*k**3 - 22*k**2 - 36.
2*(k - 3)*(k + 1)**2*(k + 6)
Let w(n) = 51*n**3 - 189*n**2 - 3*n - 3. Let p(g) = -g**4 + 203*g**3 - 756*g**2 - 13*g - 13. Let y(l) = 3*p(l) - 13*w(l). What is u in y(u) = 0?
-21, 0, 3
Factor 357/5*z + 24/5*z**2 - 381/5.
3*(z - 1)*(8*z + 127)/5
Let o = 536 - 521. Let t be (o/(-80))/(3/(-12)). Determine v, given that t*v**3 - 3 + 0*v + 9/4*v**2 = 0.
-2, 1
Suppose -2*h + 8*t + 64 = 9*t - 47, 0 = -4*t + 60. Factor 0 + h*v**2 + 54/7*v**3 + 2/7*v**4 - 56*v.
2*v*(v - 1)*(v + 14)**2/7
Let x = -82383 - -82383. Solve -3/4*y**2 + 1/8*y**3 + 0*y + x = 0 for y.
0, 6
Determine q, given that -315*q**2 + 3 - 159/2*q = 0.
-2/7, 1/30
Let i(m) = -2*m**3 - 58*m**2 - 56*m. Let q(p) = -2*p**3 - 58*p**2 - 56*p. Let g be -15*(-7 - 37/(-5)). Let o(x) = g*i(x) + 4*q(x). Factor o(y).
4*y*(y + 1)*(y + 28)
Let a = -55469 - -55472. Factor -147 + 280*m + 83/3*m**2 + 2/3*m**a.
(m + 21)**2*(2*m - 1)/3
Let a(d) = d**2 - 7624*d - 22878. Let u be a(-3). Let -7/5 + 13/5*q - 1/5*q**u - q**2 = 0. What is q?
-7, 1
Suppose -187*i + 130*i + 43*i + 28 = 0. Factor 4/3*v + 4 - 56/3*v**i.
-4*(2*v - 1)*(7*v + 3)/3
Let f(a) be the second derivative of -a**6/6 - 135*a**5/2 - 7480*a**4 + 92480*a**3/3 - 144*a + 11. Factor f(x).
-5*x*(x - 2)*(x + 136)**2
Let q(r) be the third derivative of -r**5/15 + 32*r**4/3 - 122*r**3 + 1526*r**2. Factor q(m).
-4*(m - 61)*(m - 3)
Let m(i) be the third derivative of i**6/150 + 37*i**5/75 - 77*i**4/30 + 26*i**3/5 - 678*i**2. Suppose m(l) = 0. What is l?
-39, 1
Let i be 32/((-8640)/(-42)) + (-4)/(-30)*-1. Let l(r) be the third derivative of 1/24*r**4 + 0*r + 1/360*r**6 + 0 - 8*r**2 + 0*r**3 - i*r**5. Factor l(t).
t*(t - 3)*(t - 1)/3
Factor -3/8*l**4 + 0 + 0*l**3 + 0*l + 3/8*l**2.
-3*l**2*(l - 1)*(l + 1)/8
Let i(n) be the first derivative of 92 + 35/3*n**3 - 865/2*n**2 - 250*n. Solve i(l) = 0 for l.
-2/7, 25
Determine w, given that -24*w**2 + 118*w**2 + 1526*w + 309*w - 90*w**2 + 3549*w + 1811716 = 0.
-673
Let g be ((-7)/(-84))/(4/6). Let h(w) be the second derivative of 18*w - g*w**2 + 0 - 1/48*w**4 - 1/12*w**3. Factor h(j).
-(j + 1)**2/4
Suppose 18*s - 24*s = -12. Suppose 0 = u + u - s*a - 20, 10 = -2*u - 4*a. Factor 11*d**4 - 3*d**u - 16*d**2 + d**4 - d**5 + 0*d**5.
-4*d**2*(d - 2)**2*(d + 1)
Let 2/9*s**3 + 2914/9*s**2 + 970/3 + 5822/9*s = 0. What is s?
-1455, -1
Let r(f) be the first derivative of -4*f**5/5 - 6*f**4 + 4*f**3 + 40*f**2 + 48*f - 996. Factor r(z).
-4*(z - 2)*(z + 1)**2*(z + 6)
Let l = -634 + 692. Let z = l + -343/6. Factor -z*g**2 - 5/2 - 10/3*g.
-5*(g + 1)*(g + 3)/6
Let 2/13*z**2 - 250/13 + 248/13*z = 0. What is z?
-125, 1
Let q(w) be the first derivative of -83 - 97556/9*w**2 + 1414562/9*w + 2/45*w**5 - 58/9*w**4 + 3364/9*w**3. Suppose q(c) = 0. What is c?
29
Let d = -107 + 123. Suppose 0*o - 2*v = 2*o - d, 0 = 2*o + 3*v - 20. Suppose 8*p + 4*p**2 + 4 - 4*p**2 - 4*p**3 - 4*p**4 - o*p**3 = 0. What is p?
-1, 1
Let h = -2783 + 1572. Let c = 1215 + h. Find u, given that -44/5*u**3 - 18/5*u**5 + 0 + 16/5*u**2 + 48/5*u**c - 2/5*u = 0.
0, 1/3, 1
Let u(h) be the second derivative of h**5/12 + 5*h**4/3 + 40*h**3/3 - 13*h**2/2 + 57*h. Let z(c) be t