q(g) = -g**2. Suppose z + 7 = 8, -5*l = z + 29. Let i(r) = 5*r**2 + 36*r - 324. Let c(n) = l*q(n) - i(n). Determine p, given that c(p) = 0.
18
Factor -3*u**2 + 1294*u + 1755*u - 3424*u + 1819*u - 260642 + u**2.
-2*(u - 361)**2
Suppose 1 = -c, -42*c = -5*j - 40*c + 22. Factor -22 + 3*z**2 - 28*z - j - 2*z**2 - 3*z**2.
-2*(z + 1)*(z + 13)
Let f(c) = 1604*c**2 - 4152*c - 888. Let v(m) = -107*m**2 + 277*m + 59. Let n(r) = 5*f(r) + 76*v(r). What is l in n(l) = 0?
-1/7, 11/4
Let j = 34 + -34. Suppose j = 5*n - 4 - 6. Factor -10*k**2 + 19*k**n - 12 + 6*k**3 + 0*k**3 - 3*k**3.
3*(k - 1)*(k + 2)**2
Let o be 14 - (48/34)/((-470)/(-3995)). Factor 4/3*g**3 + 3136*g - 87808/3 - 112*g**o.
4*(g - 28)**3/3
Let c(u) be the first derivative of -9/2*u**4 - 361/2*u - 143/3*u**3 - 1/10*u**5 - 117 + 171*u**2. Factor c(t).
-(t - 1)**2*(t + 19)**2/2
Solve -192 - 344*b - 520/3*b**2 - 50/3*b**3 = 0.
-8, -6/5
Let k(p) = 79 + 63 + 61*p + 102. Let u be k(-4). Solve 0*m + 4/7*m**4 + 4/7*m**5 - 4/7*m**2 + u - 4/7*m**3 = 0.
-1, 0, 1
Let y(p) be the first derivative of 10/3*p**2 + 26 - 4/15*p**5 + 4/9*p**3 + 0*p - 5/3*p**4. Factor y(d).
-4*d*(d - 1)*(d + 1)*(d + 5)/3
Let y(c) be the second derivative of c + 1079/48*c**4 + 19 - 7/24*c**6 + 19/3*c**3 - 361/2*c**2 + 247/80*c**5 + 1/168*c**7. Suppose y(k) = 0. What is k?
-2, 1, 19
Let q(v) be the third derivative of 1/12*v**4 + 0*v - 1/20*v**5 + 0*v**3 + 0 - 1/30*v**7 - 1/10*v**6 - 63*v**2. Determine o, given that q(o) = 0.
-1, 0, 2/7
Let z(y) be the first derivative of y**3/18 + 25*y**2/2 - 151*y/6 - 639. Factor z(u).
(u - 1)*(u + 151)/6
Factor p**2 + 3716 - 224*p - 8386 + 4218.
(p - 226)*(p + 2)
Let j(c) be the second derivative of -c**6/70 + 6*c**5/35 + 3*c**4/4 - 54*c**3/7 + 24*c + 31. Factor j(v).
-3*v*(v - 9)*(v - 3)*(v + 4)/7
Suppose -58*t = -71*t + 702. Determine l, given that 15*l**5 + 4 + 204*l**2 - 12*l - 267*l**4 + t*l**3 - 4 - 60*l**5 - 60*l = 0.
-6, -1, 0, 2/5, 2/3
Let n be (7 - 1781/273)*(-14)/(-5). Let k = 35/3 - 11. Determine s, given that n*s**2 - k - 2/3*s**4 + 0*s**3 + 0*s = 0.
-1, 1
Let t = -10 + 1598. Let o = 6397/4 - t. Let 3/4*l**3 + o*l - 27/4*l**2 + 75/4 = 0. Calculate l.
-1, 5
Let o = 15461/348 + -1286/29. Let p(l) be the third derivative of -1/24*l**5 + 0 + o*l**4 + 0*l + 3*l**2 + 0*l**3 + 1/240*l**6. Factor p(u).
u*(u - 4)*(u - 1)/2
Let a be (9/((-90)/8))/((-440)/22). Let i(v) be the first derivative of 15 - 1/20*v**4 + 1/10*v**2 - a*v**5 + 0*v + 1/15*v**3. Suppose i(z) = 0. What is z?
-1, 0, 1
Let l(q) be the third derivative of -q**5/270 - 13*q**4/27 - 17*q**3/9 - 7520*q**2. Let l(d) = 0. What is d?
-51, -1
Let n be 1 + 16 + 49 + -66. Factor -2/9*x**5 - 14/9*x**4 - 22/9*x**3 - 10/9*x**2 + n + 0*x.
-2*x**2*(x + 1)**2*(x + 5)/9
Let j(w) = 458*w**2 + w - 3. Let r be j(3). Solve -r - 3*c**2 - 19*c - 8*c + 4098 = 0 for c.
-8, -1
Let h(j) be the first derivative of -5*j**3/3 - 165*j**2 - 2320*j + 2613. Find g, given that h(g) = 0.
-58, -8
Let u(m) = -16*m**4 + 60*m**3 - 122*m**2 - 44*m - 11. Let k(p) = -3*p**4 + 12*p**3 - 24*p**2 - 8*p - 2. Let f(d) = 11*k(d) - 2*u(d). What is s in f(s) = 0?
0, 2, 10
Factor 24*j**4 + 512*j**2 + 97*j**3 - 13940 - j**5 + 13940 - 289*j**3.
-j**2*(j - 8)**3
Let t(q) = 3*q**2 - 60*q + 30. Let m be t(20). Determine d, given that -m*d - 45 + 60*d + 20*d**2 - 25*d**2 = 0.
3
Let n = -3630142/5 + 726030. Determine j so that 1/10*j**2 + n*j + 14/5 = 0.
-14, -2
Solve 1864/3*c - 868624/3 - 1/3*c**2 = 0 for c.
932
Suppose 0*q = -10*q + 20. Suppose 23 = a - 2*y, -3*a - q*y + y = -97. Factor b**2 - 25*b**3 + a - 16 - 19*b**2 + 12*b + 3*b**4 + 13*b**3.
3*(b - 5)*(b - 1)*(b + 1)**2
Suppose 81 = 22*m + 15. Let q be (m - (0 - 1))/33*12. Determine v so that 40/11*v + 14/11*v**3 + 2/11*v**4 + q + 36/11*v**2 = 0.
-2, -1
Factor 1/3*b**4 + 125 - 40/3*b**2 - 2/3*b**3 + 50/3*b.
(b - 5)**2*(b + 3)*(b + 5)/3
Let u(q) be the first derivative of 4*q**3/3 - 18*q**2 + 32*q - 1956. Let u(o) = 0. What is o?
1, 8
Factor -2/13*b**3 - 146/13*b**2 + 0 + 0*b.
-2*b**2*(b + 73)/13
Let x(b) be the second derivative of 1/5*b**2 - 1/15*b**4 + 3/100*b**5 - 28 - 1/6*b**3 + b. Solve x(h) = 0 for h.
-1, 1/3, 2
Let o be 2574/495*(-10)/(-4). Let j be 130/o - 147/15. Suppose 0 + 3/5*s + j*s**2 = 0. What is s?
-3, 0
Let a(b) = 2*b**2 + 9*b - 18. Let y be a(4). Determine x, given that -10*x + 39*x + 36*x + 10*x**2 + y - 5*x**3 = 0.
-2, -1, 5
Solve -1/8*t**3 + 203/2*t + 0 - 1/8*t**2 = 0.
-29, 0, 28
Let o(d) be the second derivative of 0*d**4 + 1/24*d**6 + 0*d**3 + 0 - 1/4*d**5 - 30*d + 31/2*d**2. Let g(l) be the first derivative of o(l). Factor g(c).
5*c**2*(c - 3)
Let m(a) be the first derivative of -4*a**5/5 + 38*a**4 - 308*a**3 + 884*a**2 - 992*a + 9745. Solve m(d) = 0.
1, 2, 4, 31
Let u(d) = -6*d**3 - 44*d**2 + 48*d + 16. Let t(f) = f**3 + 9*f**2 - 10*f - 3. Let i = 35 + -19. Let s(r) = i*t(r) + 3*u(r). Solve s(l) = 0.
0, 2, 4
Let o(s) = -13*s - 6. Let v be o(-1). Factor 2*m**2 + v + 24*m - 12*m + 9.
2*(m + 2)*(m + 4)
Let w(m) be the third derivative of -1/504*m**8 - 149/45*m**5 - 23/30*m**6 - 5 - 1/15*m**7 + 0*m + m**2 - 9*m**3 - 29/4*m**4. Factor w(s).
-2*(s + 1)**3*(s + 9)**2/3
Factor 45*o**3 + 3429500 - 22446*o + 1140*o**2 - 30*o**3 - 85854*o - 19*o**3.
-4*(o - 95)**3
Let v(n) = -n**2 + 2*n + 239. Let y be v(28). Let i = 492 + y. Solve 2/3 + w + 0*w**2 - 1/3*w**i = 0 for w.
-1, 2
Determine m, given that 16/7*m**3 - 30/7 - 236/7*m + 34/7*m**2 = 0.
-5, -1/8, 3
Suppose -162*h - 206*h - 26*h = -1576. Factor 1/3*n - 1/6*n**h + 0 + 1/6*n**2 - 1/3*n**3.
-n*(n - 1)*(n + 1)*(n + 2)/6
Let j(k) = 5*k**2 + 162*k + 302. Let a(g) = 85*g**2 + 2755*g + 5135. Let z(v) = 2*a(v) - 35*j(v). Solve z(f) = 0 for f.
-30, -2
Let s = 37742 + -25101. Solve -85*c**4 + 12571*c**3 + 20*c**5 + 5*c**5 + 40*c**2 - s*c**3 = 0 for c.
-1, 0, 2/5, 4
Let j(s) = s + 8. Let i be j(-6). Let a = 242663/14 - 121328/7. Factor 0*y + i*y**3 - a*y**4 + 0 - 2*y**2.
-y**2*(y - 2)**2/2
Let h be 1 + 1 - -3 - (-7 + 10). Suppose 184 = -h*n + 192. Find g, given that 16/15*g**3 + 32/15*g**2 + 0*g + 2/15*g**n + 0 = 0.
-4, 0
Let a = 32482 - 32482. Let l(o) be the third derivative of a*o**3 - 4*o**2 + 0*o - 1/14*o**4 + 1/105*o**6 - 1/735*o**7 - 1/210*o**5 + 0. Factor l(r).
-2*r*(r - 3)*(r - 2)*(r + 1)/7
Suppose 0 = -2*r - 4*a, 4*r - r - 50 = 4*a. Suppose -c + r*c = 9387. Find b, given that -3*b**2 + 3 + c*b - 1043*b = 0.
-1, 1
Factor -732 - 63*j**2 - 75*j - 907*j - 2*j**3 - 189*j**2.
-2*(j + 1)*(j + 3)*(j + 122)
Let g be 22/143 - 17996/(-143). Let t be 615/g + (6 - 8)/12. Determine n, given that -t*n + 6/7 + 45/7*n**2 = 0.
1/3, 2/5
Suppose 4*n + 1813 - 1805 = 0. Let i be (-16)/n - (-117 - -123). Factor 3/7*z**i - 6/7 - 3/7*z.
3*(z - 2)*(z + 1)/7
Let b(i) = 57*i**2 + 1602*i + 999. Let n(t) = -8*t**2 - 229*t - 142. Let m(v) = -4*b(v) - 27*n(v). Factor m(x).
-3*(x + 18)*(4*x + 3)
Let w(t) be the second derivative of t**6/90 + t**5/4 - 11*t**4/12 + 17*t**3/18 + 2*t - 26. Solve w(c) = 0 for c.
-17, 0, 1
Let p be (5 + (-306)/45 - -1)/((-6)/15). Let b(m) be the first derivative of 0*m + 0*m**p - 11 + 2/15*m**3. Factor b(y).
2*y**2/5
Let u(v) be the first derivative of -2*v**6/15 + v**5 - 184*v - 138. Let p(z) be the first derivative of u(z). Factor p(q).
-4*q**3*(q - 5)
Let t(l) be the second derivative of l**5/70 + 82*l**4/21 - 167*l**3/21 - 330*l**2/7 + 197*l + 5. Factor t(a).
2*(a - 2)*(a + 1)*(a + 165)/7
Let w be (21/(-6))/(-55 + 13632/256). Let 6/13*g**4 + 32/13*g**3 + 48/13*g**w + 0*g - 32/13 = 0. Calculate g.
-2, 2/3
Let c = 589 + -568. Solve -63*q**2 + 15*q**3 + 152*q - 11*q**4 - c*q**2 - 80 + 7*q**4 + 6*q**4 - 5*q**3 = 0.
-10, 1, 2
Let j(b) be the first derivative of 1/360*b**5 - 7/2*b**2 + 0*b - 1/12*b**3 - 23 - 1/72*b**4. Let d(a) be the second derivative of j(a). Factor d(h).
(h - 3)*(h + 1)/6
Let x = 853730/640311 - -6/213437. Let -4/9 + 20/9*b**2 - x*b**3 - 4/9*b = 0. Calculate b.
-1/3, 1
Let o(m) be the first derivative of -3*m**5/35 + 5*m**3/7 - 12*m/7 + 703. Suppose o(p) = 0. Calculate p.
-2, -1, 1, 2
Let w(r) be the third derivative of r**8/10080 - r**7/210 - 13*r**6/360 + 13*r**5/15 + 57*r**2. Let v(o) be the third derivative of w(o). Factor v(n).
2*(n - 13)*(n + 1)
Suppose -5*j = -5*f - 15, -3*j + 0 = -15. Factor -352*h**2 + 11*h + 170*h**f - 2 + 177*h**2.
