5*c**3 + 1/2*c**2 + 0*c + 1/5*c**4. Find y such that v(y) = 0.
0, 1/4, 5
Let n(q) be the second derivative of 2/7*q**2 + 1/70*q**5 - 1/21*q**4 - 1/21*q**3 + 0 - 225*q. Factor n(m).
2*(m - 2)*(m - 1)*(m + 1)/7
Factor 4/3*g**2 - 380/3*g + 9025/3.
(2*g - 95)**2/3
Let m = -233 - -243. Let s(h) = -h**3 + 10*h**2 + h - 8. Let j be s(m). Find l, given that -60/13*l**3 + 0 - 12/13*l + 14/13*l**4 + 58/13*l**j = 0.
0, 2/7, 1, 3
Let n = 2241/2 + -1120. Let v(u) be the first derivative of -n*u**6 + 0*u + 5/4*u**4 + u**5 - 3 - 5/3*u**3 - u**2. Find w, given that v(w) = 0.
-1, -1/3, 0, 1, 2
Let 17310*s**2 + 40*s**4 - 17292*s - 428*s**3 - 5650*s**2 + 6056*s - 36*s**4 = 0. Calculate s.
0, 1, 53
Let k(y) be the second derivative of 0*y**2 + 1/900*y**6 - 3/2*y**3 + 1/15*y**4 + 1/75*y**5 - 4*y + 0. Let f(z) be the second derivative of k(z). Factor f(s).
2*(s + 2)**2/5
Suppose -2163*n = -2157*n - 4212. Let d = 704 - n. Find j, given that -16/5*j**d + 14/5*j + 6/5*j**3 - 4/5 = 0.
2/3, 1
Let -228*f - 620 + 4/5*f**3 - 84/5*f**2 = 0. What is f?
-5, 31
Let p(w) = w**2 - w + 9. Let u(v) = -v**2 + v - 8. Let j(y) = -5*p(y) - 6*u(y). Let o be j(0). Factor -6 + 10*k - 5*k**2 - 5*k**o + 3 + 3.
-5*k*(k - 1)*(k + 2)
Let o(x) = -4*x**2 + 33*x - 16. Let q be o(15). Let n = 423 + q. Determine z so that -168*z**3 - 32/5*z - 196/5*z**4 + 1372/5*z**5 + 0 - 304/5*z**n = 0.
-2/7, 0, 1
Let t(s) = -s**2 - 2455*s - 252145. Let g(c) = -c**2 - 3682*c - 378217. Let d(l) = -5*g(l) + 8*t(l). What is q in d(q) = 0?
-205
Suppose -12*m + 54 = 18. Solve -3 + 3*t + 24 + 8*t**3 - m - 18*t**2 - 11*t**3 = 0 for t.
-6, -1, 1
Let k(p) be the second derivative of p**6/120 - p**5/20 - 3*p**4/8 + 5*p**3/6 + 21*p**2/2 - 30*p + 1. Let j(d) be the second derivative of k(d). Factor j(t).
3*(t - 3)*(t + 1)
Let z(c) be the first derivative of 1/40*c**4 - 3/5*c - 33 - 4/15*c**3 + 13/20*c**2. What is b in z(b) = 0?
1, 6
Factor -4/9*v**2 - 512/9 - 114*v.
-2*(v + 256)*(2*v + 1)/9
Let k(h) be the first derivative of h**4/4 - 530*h**3 + 421350*h**2 - 148877000*h - 1858. What is n in k(n) = 0?
530
Let x(i) = i**2 - 11*i + 12. Let z be x(10). Let q be 10/6 - (z - 1). Suppose -4/3 + 2*r - q*r**2 = 0. Calculate r.
1, 2
Let n(k) be the first derivative of 2*k**3/33 - 97*k**2/11 - 196*k/11 + 366. Factor n(y).
2*(y - 98)*(y + 1)/11
Factor -4748*v**2 + 1656 - 2748*v + 1088 + 2379*v**2 + 2373*v**2.
4*(v - 686)*(v - 1)
Let o = 1189 - 1201. Let j be 45/o*(-44)/110. Suppose -2*q + j + 2/3*q**3 + 1/6*q**4 - 1/3*q**2 = 0. What is q?
-3, 1
Let f(o) = 131066*o**3 + 36864*o**2 + 3450*o + 108. Let y(r) = -r**3 - r. Suppose -34*x + 5*x + 174 = 0. Let a(g) = x*y(g) - f(g). Factor a(h).
-4*(32*h + 3)**3
Let f(q) = -9*q**2 + 486*q - 96. Let j(b) = 2*b**2 - 96*b + 20. Let m(c) = 5*f(c) + 24*j(c). Factor m(u).
3*u*(u + 42)
Let z(t) = -12*t + 216. Let o be z(15). Factor -2560 - o*c**2 + 6*c**3 + 1309 + 1347 + 3*c**4 - 24*c.
3*(c - 2)**2*(c + 2)*(c + 4)
Let b = -3687 + 3689. Let g(c) be the first derivative of -8*c**b + 1 + 0*c + 2/5*c**5 - 8/3*c**3 + c**4. Let g(x) = 0. Calculate x.
-2, 0, 2
Let b(h) be the third derivative of h**7/42 + 13*h**6/24 + 61*h**5/12 + 205*h**4/8 + 75*h**3 - 19*h**2 + 14*h. Solve b(f) = 0.
-5, -3, -2
Factor -16 + 195/2*z**2 + 517*z.
(3*z + 16)*(65*z - 2)/2
Let w be -30*(-8)/(-48) - ((-175)/150)/(1/6). Factor 2/3*h**3 + 5/6*h**5 + 2*h**4 + 0*h + 0*h**w + 0.
h**3*(h + 2)*(5*h + 2)/6
Let l(h) be the first derivative of 0*h - 8/27*h**3 - 1/18*h**4 + 60 - 4/9*h**2. Factor l(j).
-2*j*(j + 2)**2/9
Let h be 4 - 22/5 - -2. Let m(n) = n**3 + 11*n**2 + 20*n + 20. Let u be m(-9). What is k in h*k**u - 2/5 + 6/5*k = 0?
-1, 1/4
Let q be (-315)/1365*(-715)/15. Suppose 5/2*y**3 + 4*y + q*y**2 + 0 = 0. Calculate y.
-4, -2/5, 0
Factor -52/7*z + 18/7*z**2 - 10.
2*(z + 1)*(9*z - 35)/7
Suppose 178*b = -152*b + 660. Determine w so that 9*w**4 + 0 - 23/4*w**b + 15*w**3 + 1/2*w = 0.
-2, 0, 1/6
Factor -1107/4*m**2 + 0*m + 0 - 1/4*m**5 - 129/4*m**4 - 747/4*m**3.
-m**2*(m + 3)**2*(m + 123)/4
Determine r so that -127/5*r**3 - 1/5*r**4 - 3968/5*r**2 + 4096/5*r + 0 = 0.
-64, 0, 1
Let g(v) be the first derivative of -2*v**3/39 - 43*v**2/13 - 24*v + 75. Find i such that g(i) = 0.
-39, -4
Let n be (-51)/(-12) + (-282)/(-376). Let t(v) be the second derivative of 1/9*v**3 + 1/90*v**6 - 16*v + 1/15*v**n + 0 + 5/36*v**4 + 0*v**2. Factor t(m).
m*(m + 1)**2*(m + 2)/3
Let s(w) be the third derivative of -1/12*w**6 - 1 - 2/9*w**3 + 7*w**2 + 4/315*w**7 + 0*w - 1/12*w**4 + 8/45*w**5. What is l in s(l) = 0?
-1/4, 1, 2
Let f(x) = -12*x**4 + 17*x**3 - 239*x**2 - 933*x - 1011. Let t(d) = d**4 - 4*d**3 - d**2 + 3*d + 1. Let u(g) = -3*f(g) - 33*t(g). Factor u(y).
3*(y + 2)*(y + 5)*(y + 10)**2
Let o(g) = g**2 + 5*g + 2. Let p be o(-5). Let n(b) = 2*b**3 + 42*b**2 + 13*b + 337. Let t be n(-21). Suppose t - 126 - 3*z + 64 + 2*z - z**p = 0. What is z?
-2, 1
Let i = -542 + 545. Let l(y) = y**3 - 11*y**2 + 27*y - 5. Let p be l(i). Solve -1/8*h**3 - 1/8*h**p + 0*h + 0 + 0*h**2 = 0.
-1, 0
Let s(j) be the first derivative of -2/3*j**2 - 5/4*j**4 - 7/15*j**5 + 0*j + 166 - 1/18*j**6 - 13/9*j**3. Find n such that s(n) = 0.
-4, -1, 0
Let o(p) be the first derivative of -5*p**3/3 - 125*p**2 - 245*p + 1078. Determine c, given that o(c) = 0.
-49, -1
Let t(v) be the second derivative of 3*v**5/70 - 113*v**4/42 + 1241*v**3/21 - 3179*v**2/7 - 3000*v. Factor t(k).
2*(k - 17)**2*(3*k - 11)/7
Let i = 110013 + -110010. Suppose -36/5 + 8/5*h**2 - 2/5*h**i + 6/5*h = 0. Calculate h.
-2, 3
Suppose 0 = 8*a - 6 + 22. Let y be (a + 1)*2/(-6). Let -1/3*f**2 - f + f**3 + y = 0. Calculate f.
-1, 1/3, 1
Let r(w) be the third derivative of 0*w + 270*w**3 + 15/2*w**4 + 2*w**2 - 1 + 1/12*w**5. Determine l, given that r(l) = 0.
-18
Suppose 118*j - 355/3 + 1/3*j**2 = 0. Calculate j.
-355, 1
Suppose 9*r - 31 = 32. Factor 9*i**3 - 188*i + 188*i + i**2 - r*i**2.
3*i**2*(3*i - 2)
Let d(b) = b**2 - 263*b - 3585. Let i be d(-13). Factor 50/9 + 5/9*u + 1/9*u**i - 8/9*u**2.
(u - 5)**2*(u + 2)/9
Let w = 149343 - 746712/5. Find y, given that -84/5*y**2 - 48/5 - w*y**4 + 108/5*y + 27/5*y**3 = 0.
1, 2, 4
Let a(v) = 6*v - 19. Let z be a(4). Suppose 3*j = 0, 0 = -z*w - 5*j + 18 - 3. Let 2/5 - 2*n**2 + 8/5*n**4 + 6/5*n**w - 6/5*n = 0. What is n?
-1, 1/4, 1
Let u = -1/2468 + 14815/17276. Suppose 14 - 26 = -6*j. Factor 2/7*w**3 - 2/7 + 6/7*w - u*w**j.
2*(w - 1)**3/7
Let s(q) be the first derivative of 5*q**4/4 + 1370*q**3/3 - 2775*q**2/2 - 4140*q + 9397. Find h, given that s(h) = 0.
-276, -1, 3
Let h(x) be the first derivative of x**5/70 + x**4/6 - 8*x**3/21 - 161*x + 58. Let g(z) be the first derivative of h(z). Let g(f) = 0. What is f?
-8, 0, 1
Let t(s) = -s**3 - 32*s**2 - 30*s + 103. Let q be t(-31). Let o be (0 - 12/q)/((-2)/30). Suppose -w**2 - 2*w**4 + 0 + 0*w - 1/2*w**5 - o*w**3 = 0. Calculate w.
-2, -1, 0
Factor -1/3*t**4 + 9*t**3 + 0 - 74/3*t**2 + 16*t.
-t*(t - 24)*(t - 2)*(t - 1)/3
Let h be (-644376)/1260*5 + 4/(-6). Let m = 2622 + h. Factor 60/7*q - 2/7*q**2 - m.
-2*(q - 15)**2/7
Let q(b) be the third derivative of 0*b**3 - 1/42*b**7 + 0 - 1/6*b**6 + 13*b + 0*b**5 + 0*b**4 + 4*b**2. Find h, given that q(h) = 0.
-4, 0
Let h be (-2 + -1)*((-4)/(-7))/((-180)/420). Let z(v) be the first derivative of 9 - 1/18*v**h - 2/27*v**3 + 1/9*v**2 + 2/9*v. Suppose z(c) = 0. What is c?
-1, 1
Suppose -20*k - 5*l = -155, k + 33*l - 60 = 30*l. Find t such that 24/7*t**2 + 36/7*t + 0 + 4/7*t**k = 0.
-3, 0
Let m(k) be the first derivative of 5*k**4/4 + 10*k**3/3 - 300*k**2 + 3640. Factor m(d).
5*d*(d - 10)*(d + 12)
Let l(g) be the second derivative of -g**6/70 + 9*g**5/28 - 61*g**4/28 + 3*g**3/2 + 21*g**2 - 1211*g. Let l(u) = 0. What is u?
-1, 2, 7
Suppose -2*v + 448 + 428 = 4*l, -3*v = 2*l - 430. Suppose 9*p = -l + 275. Factor -p - 2/3*w**2 + 4*w.
-2*(w - 3)**2/3
Let v(g) be the third derivative of 8/39*g**3 + 0*g + 1/156*g**6 + 28 - 3/65*g**5 + 2*g**2 + 1/13*g**4. Determine j, given that v(j) = 0.
-2/5, 2
Let n(t) be the first derivative of -2*t**5/55 + 95*t**4/22 - 4606*t**3/33 + 2209*t**2/11 + 555. What is p in n(p) = 0?
0, 1, 47
Let z(k) be the second derivative of 1/42*k**4 + 0*k**2 + 1 + 30*k - 1/70*k**5 - 1/105*k**6 + 1/21*k**3. Let z(y) = 0. Calculate y.
-1, 0, 1
Let t(p) = 928*p + 6502. Let u be t(-7). Factor 