z) = 80*z**3 + 12660*z**2 + 73305*z + 108080. Let n(y) = -55*b(y) - 2*q(y). Factor n(u).
5*(u + 3)**2*(u + 89)
Suppose -2*u - 199 = -3*i - 700, -5*u = -7*i - 1255. Find g such that 21336/5*g + 7056/5 + u*g**3 - 11388/5*g**2 - 42/5*g**4 = 0.
-2/7, 3, 14
Let n be (-5 - -4)*1 - 4. Let x be 2 + 8/n + (-348)/(-30). Let 425 + 3*v**2 - 425 + x*v = 0. Calculate v.
-4, 0
Determine t, given that 0 + 0*t + 45*t**2 - 245/2*t**5 + 140*t**4 + 375/2*t**3 = 0.
-3/7, 0, 2
Determine w so that 2/3*w**3 - 34/3*w**2 - 16*w + 72 = 0.
-3, 2, 18
Suppose 0 = -50*s + 42*s + 112. Suppose 7 = s*a - 21. Let -3 + 9*r + 21/4*r**a = 0. What is r?
-2, 2/7
Let i be (-12 + (-522)/(-36))*10 + -21. Factor 12/7*v**3 - 38/7*v**2 + 2/7*v**i - 12/7 + 37/7*v - 1/7*v**5.
-(v - 3)*(v - 1)**3*(v + 4)/7
Determine x so that -81*x + 121*x + 2*x**2 + 158*x = 0.
-99, 0
Let o(g) be the second derivative of g**7/21 - 13*g**5/10 + 2*g**4 + 119*g + 6. Find i such that o(i) = 0.
-4, 0, 1, 3
Factor 880/9*l**3 + 134/9*l**2 + 4/9*l + 544/3*l**4 + 0.
2*l*(4*l + 1)**2*(51*l + 2)/9
Factor 444/5*p**2 + 156/5*p**3 + 4/5*p**4 + 436/5*p + 144/5.
4*(p + 1)**3*(p + 36)/5
Let y(t) = -5*t**4 + 85*t**3 + 55*t**2 - 605*t + 1670. Let r(w) = w**2 + w + 58. Let b(f) = -20*r(f) + y(f). Find a, given that b(a) = 0.
-3, 1, 2, 17
Let i(n) = -20*n**2 - 572*n - 3813. Let c be i(-18). Factor -1/4*h**c + 1/4*h**4 - 1/4*h**2 + 1/4*h + 0.
h*(h - 1)**2*(h + 1)/4
Let m(r) = 10*r - 241. Let l be m(25). Suppose -l*b = 3*s - 6*b, -4*b = 3*s. Solve -5/2*h**2 + 1/2*h**3 + 2*h + s = 0 for h.
0, 1, 4
Let p(c) be the third derivative of 4/3*c**3 + 11/12*c**4 + 1/40*c**6 + 0 + 17/60*c**5 + 9*c - 12*c**2. Factor p(l).
(l + 1)*(l + 4)*(3*l + 2)
Let g be -16*66/110*(-25)/30. Factor -j**2 + 1/3*j**3 - 28/3 - g*j.
(j - 7)*(j + 2)**2/3
Factor -1/5*c**2 - 418/5 - 211/5*c.
-(c + 2)*(c + 209)/5
Let p be 1423/(-355) + (-6 + 1 - -9). Let k = p + 1849/355. Find a such that 0*a + 52/5*a**4 - k*a**3 - 6*a**5 + 0 + 4/5*a**2 = 0.
0, 1/3, 2/5, 1
Suppose 0 = 132*v - 943 + 943. Factor 1/6*d**2 + v + 1/2*d.
d*(d + 3)/6
Let q be 33/(-55) - (-3)/5. Suppose -8*p + 162 - 10 = q. Let -4*o**2 - p - 20*o - 16*o + 8*o - 5 = 0. What is o?
-6, -1
Factor -2*f + 3*f**3 + 126960309*f**2 - 1294*f - 126960291*f**2.
3*f*(f - 18)*(f + 24)
Suppose -75/4*d**2 - 81 + 99*d + 3/4*d**3 = 0. Calculate d.
1, 6, 18
Let x be (396/363)/(2/11). Let i(n) = n**3 + 4*n**2 - 5*n - 6. Let k(m) = 2*m**3 + 3*m**2 - 5*m - 7. Let p(j) = x*k(j) - 7*i(j). Factor p(f).
5*f*(f - 1)**2
Suppose 115*j + 3260 = 183*j + 584*j. Find m such that 2/7 + 10/7*m**4 - 2/7*m**j + 20/7*m**2 - 20/7*m**3 - 10/7*m = 0.
1
Let x(y) be the second derivative of 17/6*y**3 + 4 + 9*y**2 - 1/12*y**4 - 8*y. Factor x(q).
-(q - 18)*(q + 1)
Let v(f) be the third derivative of f**8/7560 + 2*f**7/945 + f**6/90 - f**4/4 + 43*f**3/6 - 28*f**2. Let q(l) be the first derivative of v(l). Factor q(p).
2*(p - 1)*(p + 3)**3/9
Let a(m) be the second derivative of -1/30*m**5 + 5 + 3*m - 4/9*m**3 + 2/9*m**4 + 0*m**2. Factor a(b).
-2*b*(b - 2)**2/3
Let d(o) be the third derivative of o**7/14 + o**6/3 - 5*o**5/2 + 5*o**4 - 25*o**3/6 - 204*o**2. Let d(k) = 0. What is k?
-5, 1/3, 1
Suppose -3*w + a + 26 = 0, 2*a - 232 = w - 234. Let u(q) be the second derivative of w*q - 1/20*q**4 + 1/5*q**3 + 9/10*q**2 + 0. Solve u(d) = 0 for d.
-1, 3
Let g(q) = -q**3 + 239*q**2 - 1522*q - 417. Let k(c) = c**3 - 120*c**2 + 761*c + 207. Let b(v) = -3*g(v) - 7*k(v). Find y, given that b(y) = 0.
-1/4, 9, 22
Suppose -k = 0, 3*k + 0*k = -u - 57. Let n = u + 76. Determine r, given that 56*r**3 + n*r**3 + 5*r**2 + 5*r**2 = 0.
-2/15, 0
Let u(l) be the first derivative of -2*l**3/27 - 397*l**2/9 - 88*l + 437. Factor u(f).
-2*(f + 1)*(f + 396)/9
Let c be (-37)/(-5) - (-12)/(-30). Suppose 5*w - c*w = -4. Factor 8 - 6*j**w - 6*j + 6*j**2 + 3*j**2 - 5*j**2.
-2*(j - 1)*(j + 4)
Let x be 16 - 0 - (5 - 5). Let p(h) = x - 25*h + 10*h**2 - 15*h**2 + 9*h**2. Let u(s) = 5*s**2 - 25*s + 15. Let d(f) = -5*p(f) + 6*u(f). Factor d(r).
5*(r - 2)*(2*r - 1)
Let q(n) be the first derivative of 5*n**3/6 - 127*n**2/4 + 25*n + 2093. Factor q(g).
(g - 25)*(5*g - 2)/2
Let w(x) be the second derivative of x**4/4 + 75*x**3 - 453*x**2/2 - 36*x + 61. What is g in w(g) = 0?
-151, 1
Let j(q) be the second derivative of -q**7/126 - 11*q**6/90 - 10*q - 17. Solve j(p) = 0 for p.
-11, 0
Let j(g) = -4*g**2 - 6930*g - 6027388. Let r(u) = -u**2 + 7*u + 2. Let w(x) = 2*j(x) - 4*r(x). What is a in w(a) = 0?
-1736
Suppose -5*z + 5*r + 110 = 0, 0 = -3*z - 11*r + 12*r + 62. Let i be (6/16)/(30/z). Find a such that -1/4*a**3 + i*a**2 + 0 + 0*a = 0.
0, 1
Let j(f) be the third derivative of 53/144*f**4 - 17/120*f**5 + 0*f - 1/2*f**3 + 1/1260*f**7 + 1/48*f**6 + f**2 - 40. Factor j(i).
(i - 1)**3*(i + 18)/6
Factor 21*f + 3*f - 4*f**2 - 3*f**3 + 88*f**4 - 178*f**4 + 89*f**4 + 32 - 3*f**3.
-(f - 2)*(f + 2)**2*(f + 4)
Let f(r) be the second derivative of r**7/147 + r**6/105 - 19*r**5/35 - 6*r**4/7 + 24*r**3/7 + 7915*r. Solve f(c) = 0.
-6, -2, 0, 1, 6
Let x be 126 + -120 + 1 + (2 - 9). Determine g, given that -874*g + g**2 + 824*g + x*g**2 = 0.
0, 50
Let l = -18540 - -18544. Let r(m) be the first derivative of -l + 16/15*m**3 + 0*m + 1/5*m**2 + 8/5*m**4. Solve r(x) = 0.
-1/4, 0
Let t be -5 - (-1)/(4/116). Find v such that 16*v - 8*v**5 + 6 - 6*v**4 + 21*v**3 - 15*v**3 + t*v**2 + 5*v + 5*v**5 = 0.
-1, 2
Factor 83*x**3 + 260*x + 90*x**3 - 4*x**4 - 600 - 193*x**3 + 76*x**2 + 0*x**2.
-4*(x - 3)*(x - 2)*(x + 5)**2
Let y(u) be the first derivative of -5/6*u**4 + 0*u**5 + 33*u - 15 + 1/12*u**6 + 0*u**3 + 0*u**2. Let v(h) be the first derivative of y(h). Factor v(k).
5*k**2*(k - 2)*(k + 2)/2
Let k(g) be the third derivative of g**6/90 + 7*g**5/3 + 203*g**4/18 - 206*g**3/3 - 36*g**2 - 19*g. Factor k(l).
4*(l - 1)*(l + 3)*(l + 103)/3
Let c(x) = 6*x - 23. Let w(o) = -2*o + 8. Let u(z) = -2*c(z) - 7*w(z). Let j be u(6). Factor -62*t**j + 36*t**3 + 5*t - 4 + 12*t + 13*t.
2*(t - 1)*(2*t - 1)*(9*t - 2)
Let s(n) be the third derivative of -n**7/126 - 25*n**6/24 + n**5/36 + 125*n**4/24 + 217*n**2. Determine r so that s(r) = 0.
-75, -1, 0, 1
Let -82190*w**2 - 170528*w**3 - 20937*w**2 - 2 - 1170*w - 22022*w**2 - 33524*w**2 - 13023*w**2 = 0. Calculate w.
-1, -1/292
Let w(c) be the second derivative of c**5/140 - 25*c**4/84 - c**3/42 + 25*c**2/14 - 5398*c. Let w(v) = 0. What is v?
-1, 1, 25
Let a = -26154 - -78526/3. Let u(l) be the third derivative of 20*l**2 + 0*l + 0 - 1/60*l**6 + 2/5*l**5 + a*l**3 - 4*l**4. Factor u(o).
-2*(o - 4)**3
Suppose -n - 1 = -z, z = -n + 4*n - 3. Let k be n/26*(-18 - -20). Solve k*w**3 - 2/13*w + 0 + 0*w**2 = 0.
-1, 0, 1
Let l be (-2)/19 - 78/(-19). Factor 8*f - 30*f**5 - 12*f**3 - 4*f**2 + l*f**4 - 29*f**5 + 63*f**5.
4*f*(f - 1)**2*(f + 1)*(f + 2)
Let v(m) be the third derivative of -m**5/390 - 127*m**4/78 + 344*m**3/13 - 1231*m**2 + m. Factor v(r).
-2*(r - 4)*(r + 258)/13
Find y such that -5078*y**3 - 40 + 8203*y**3 - 641*y**2 + 1020*y - 6109*y**2 = 0.
2/25, 2
Suppose -122*c = -113*c - 18. Determine w so that 40*w - 29*w**2 + c - 2 + 24*w**2 = 0.
0, 8
Let d(z) be the first derivative of 1183*z**4/6 - 1664*z**3/3 + 615*z**2/7 - 100*z/21 - 6351. Let d(s) = 0. Calculate s.
5/91, 2
Let f(j) = -8*j**3 + 233*j**2 + 1349*j + 1141. Let r(k) = 11*k**3 - 234*k**2 - 1349*k - 1148. Let i(w) = 4*f(w) + 3*r(w). Let i(b) = 0. What is b?
-224, -5, -1
Let j(z) = -14*z**2 - 2686*z - 5332. Let h(w) = 9*w**2 + 1790*w + 3554. Let l(u) = -8*h(u) - 5*j(u). Determine r so that l(r) = 0.
-443, -2
Let m(r) be the first derivative of r**5 - 5*r**4 - 35*r**3/3 + 55*r**2 + 120*r + 204. Solve m(i) = 0.
-2, -1, 3, 4
Let n = -256/29 + 1976/145. Solve n - 12*z + 42/5*z**2 - 9/5*z**3 = 0 for z.
2/3, 2
Let x(q) be the third derivative of -q**6/240 - 11*q**5/48 + 19*q**4/24 - 61*q**3/3 - 24*q**2 + 4*q. Let w(d) be the first derivative of x(d). Factor w(m).
-(m + 19)*(3*m - 2)/2
Let r(i) = 4*i**4 - 25*i**3 + 127*i**2 - 280*i + 144. Let k(s) = -s**4 - s**3 + s**2 + 16*s. Let y(z) = -2*k(z) - r(z). Solve y(f) = 0 for f.
1, 4, 9/2
Let h(b) be the second derivative of b**7/2940 + b**6/210 - 4*b**5/105 - 55*b**3/6 + 253*b. Let i(l) be the second derivative of h(l). Factor i(s).
2*s*(s - 2)*(s + 8)/7
Let p(q) be the first derivative of -q**5/27