y(4). Solve -58*o**4 + 2*o**3 + s*o**4 + 40*o**4 = 0.
-2/13, 0
Suppose -352/5 - 2636/5*c + 6*c**2 = 0. Calculate c.
-2/15, 88
Let t(s) be the second derivative of 7*s**4/6 + 34*s**3/3 + 39*s**2 + 1701*s. Suppose t(l) = 0. Calculate l.
-3, -13/7
Factor -41*b**3 + b**3 + 33 - 33 - 2*b**4 + 2*b**5.
2*b**3*(b - 5)*(b + 4)
Let w(l) be the first derivative of 2*l**3/3 - 71*l**2 + 140*l - 482. Factor w(u).
2*(u - 70)*(u - 1)
Let n be (-64)/(-594) - (32/168)/((-648)/252). Factor 18/11*j - 20/11 + n*j**2.
2*(j - 1)*(j + 10)/11
Let f(z) be the first derivative of -z**7/140 + 7*z**6/80 - 11*z**5/40 + 5*z**4/16 - 209*z**2/2 + 2. Let r(j) be the second derivative of f(j). Factor r(x).
-3*x*(x - 5)*(x - 1)**2/2
Let h be (-9)/((-90)/4) - 32/(-20). Factor 28*y**2 + 25 - 15 + 3*y**4 - 25*y**h - 6*y**3 - 10.
3*y**2*(y - 1)**2
Let z(r) = 445*r**2 - 230*r + 32. Let w = -356 - -351. Let p(k) = 668*k**2 - 346*k + 48. Let d(u) = w*p(u) + 7*z(u). Find j such that d(j) = 0.
4/15
What is w in -2262*w**3 + 13221*w + 5446 - 3*w**4 + 3680 + 2037*w**3 + 3867*w**2 + 6*w**4 = 0?
-2, -1, 39
Let j(q) be the third derivative of q**5/30 - 15*q**4/4 + 44*q**3/3 + 3*q**2 + 500. Factor j(h).
2*(h - 44)*(h - 1)
Suppose k + 6 = 19*l - 16*l, 0 = 5*l + 5*k - 30. Let d be 6/((-54)/9)*(l + -3). Let -4/3*z**2 + 4/3*z**4 + 4/3*z**3 + d - 4/3*z = 0. Calculate z.
-1, 0, 1
Let 25600/3 + 4/3*g**2 + 640/3*g = 0. What is g?
-80
Let f be ((-2)/(-72)*-10)/((-6)/(-12) - 1). Find q, given that f*q**3 + 4/9*q + 8/9*q**2 + 0 + 1/9*q**4 = 0.
-2, -1, 0
Let h(d) = -2*d**5 + d**4 + d**2 - d - 1. Let w(x) = -13*x**5 + x**4 + 16*x**3 + 3*x**2 - 18*x + 1. Let u(l) = -5*h(l) + w(l). Suppose u(r) = 0. What is r?
-3, -1, 2/3, 1
Suppose 0 = -3*c + 12, -l + 23 - 17 = -3*c. Let r be (-6)/(-68 + 8)*l. What is k in r*k**3 + 3*k**2 - 32/5*k + 12/5 = 0?
-3, 2/3
Let b(c) = -c**2 + 70*c + 2. Let q be b(0). What is t in 2/3*t**q - 2 + 4/3*t = 0?
-3, 1
Let o(r) be the first derivative of 125*r**4/2 - 2135*r**3/3 - 1029*r**2/2 - 54*r - 12240. Factor o(p).
(p - 9)*(5*p + 2)*(50*p + 3)
Let o = 230 - 226. Find w, given that -4853*w - 5*w**4 - o*w**2 - w**5 + 4853*w - 8*w**3 = 0.
-2, -1, 0
Let l(r) be the third derivative of -r**6/600 + 67*r**5/150 + 137*r**4/120 - 9*r**3 - 8661*r**2. Let l(q) = 0. What is q?
-2, 1, 135
Suppose -5*c + 3 + 2 = 3*q, 5*c - 15 = -q. Let p(k) = -2*k**2 - 8*k + 12. Let y be p(q). Factor 5 - 4*r - y + 4*r**2 - 27.
4*(r - 3)*(r + 2)
Let f = -67908/7 + 67910/7. Factor -8/7*l**2 + 8 + 50/7*l - f*l**3.
-2*(l - 4)*(l + 1)*(l + 7)/7
Let p be 18492/(-16) - (-5)/(-20). Let c be (p/5)/(5/(-25)). Factor -6 + 1159*h + 4*h**2 + 5*h**2 - c*h.
3*(h + 1)*(3*h - 2)
Let c(g) be the third derivative of -g**7/42 + 2*g**6/3 - 17*g**5/4 - 40*g**4/3 + 550*g**3/3 - 6*g**2 + 3*g + 63. Determine r so that c(r) = 0.
-2, 2, 5, 11
Let c(i) be the first derivative of -2*i**3/3 + 17*i**2 + 336*i - 1941. Factor c(k).
-2*(k - 24)*(k + 7)
Suppose 247*d + 252 = 254*d. Let o be (-54)/d - (-23)/6. Factor -1/3*v**2 - o*v - 2.
-(v + 1)*(v + 6)/3
Let q(v) be the first derivative of v**4 + 64*v**3 + 94*v**2 + 1950. Determine m, given that q(m) = 0.
-47, -1, 0
Let -5*w**4 - 8*w**3 + 526*w**5 - 25*w**2 + 21*w**2 - 527*w**5 = 0. What is w?
-2, -1, 0
Let k(g) be the third derivative of 1/15*g**5 + 2*g**4 - 26/3*g**3 + 0 - 8*g**2 + g. Solve k(b) = 0 for b.
-13, 1
Determine x so that -214/7*x**3 - 152*x - 1056/7*x**2 - 6/7*x**4 + 480/7 = 0.
-30, -4, -2, 1/3
Let y(i) = -17*i**3 + 13*i**2 - 52*i + 21. Let a(s) = -33*s - 10*s**3 + 15*s - 8*s + 8 + 2 + 6*s**2. Let n(w) = -7*a(w) + 4*y(w). Factor n(g).
2*(g - 1)**2*(g + 7)
Let s(f) be the first derivative of 22*f**6/3 - 1488*f**5/5 + 2704*f**4 + 10176*f**3 + 2592*f**2 - 2865. Suppose s(h) = 0. Calculate h.
-2, -2/11, 0, 18
Let n(q) = -4*q**2 + 44*q + 6. Let y(f) = -9*f**2 + 134*f + 16. Let c(g) = -8*n(g) + 3*y(g). Solve c(x) = 0.
-10, 0
Let s(p) = p**2 + 7*p - 14. Suppose -27*m = -51*m - 216. Let c be s(m). Factor 0 + 4/3*q**3 + 0*q - 8/3*q**c + 4/3*q**5 + 0*q**2.
4*q**3*(q - 1)**2/3
Let b(h) be the second derivative of 7*h**6/30 + 23*h**5/15 + h**4 - 66*h**2 - 28*h. Let r(a) be the first derivative of b(a). What is i in r(i) = 0?
-3, -2/7, 0
Let w be ((-40)/60)/(4/(-10)). Suppose -3*f - 4*q = 10, -10*f - 10 = -5*f + 5*q. Factor -1/3*l**2 + w*l - f.
-(l - 3)*(l - 2)/3
Let b(r) be the third derivative of r**5/12 + 1285*r**4/2 + 1981470*r**3 + 45*r**2 - 12. Factor b(q).
5*(q + 1542)**2
Let v be (-20174)/105 + (-2)/(-15). Let d be 30/(56/v*-4). Suppose 0 + 250/7*b + 2/7*b**5 + 32/7*b**4 + d*b**3 + 400/7*b**2 = 0. Calculate b.
-5, -1, 0
Let p(f) = f**4 + f**3 - f - 2. Let z(x) = -136*x**3 - 732*x**2 - 1048*x - 8. Let b(m) = -4*p(m) + z(m). Factor b(q).
-4*q*(q + 3)**2*(q + 29)
Let f = 9 - 4. Let h = -14153 - -14157. Determine s so that 14/9*s**h - 4/9*s + 4/9*s**f - 20/9*s**2 + 0*s**3 + 2/3 = 0.
-3, -1, 1/2, 1
Let f(t) be the second derivative of 1/45*t**6 + 20 - 4*t + 25/18*t**4 + 13/15*t**5 + 0*t**2 + 0*t**3. Factor f(j).
2*j**2*(j + 1)*(j + 25)/3
Let y(c) = -c**2 + 19*c - 105. Let f be y(43). Let p = f - -1141. Factor 0 + 18/5*a**3 - 48/5*a**2 - 2/5*a**p + 32/5*a.
-2*a*(a - 4)**2*(a - 1)/5
Let r(h) be the third derivative of -h**6/1440 + 17*h**5/240 - 289*h**4/96 - 4*h**3/3 + 13*h**2. Let o(d) be the first derivative of r(d). Factor o(u).
-(u - 17)**2/4
Let m be 15 - ((-8)/4 + 6). Let x = m - 7. Find r, given that -34 + 5*r**2 + 5*r**3 - 5*r**x - 5*r + 19 + 15 = 0.
-1, 0, 1
Factor 283*q + 225*q**2 + 231*q + q**3 + q**3 + 256 + 35*q**2.
2*(q + 1)**2*(q + 128)
Let d(c) be the first derivative of -c**6/30 - 3*c**5/25 + 31*c**4/20 + 43*c**3/15 - 27*c**2 + 40*c - 1437. Solve d(y) = 0 for y.
-5, 1, 2, 4
Suppose -5*h**3 + 9522*h**2 + 95*h - 4715*h**2 - 4717*h**2 = 0. What is h?
-1, 0, 19
Suppose 0 + 111/7*u + 1/7*u**3 - 40/7*u**2 = 0. What is u?
0, 3, 37
Let d be (1536/15)/(17/(-850)). Let l be ((-12)/(-10) + 0)/((-336)/d). Solve -l*q + 32/7*q**3 + 12/7*q**4 - 64/7 - 32/7*q**2 = 0.
-2, -2/3, 2
Let q be (5/(-5))/(1/(-14)). Factor 14 + q - y**2 + 5*y**2 - 24*y - 8.
4*(y - 5)*(y - 1)
Let b be 1*(-60)/70*(-42)/18. Solve 24/19 + 26/19*u + 2/19*u**b = 0 for u.
-12, -1
Let p(n) = -n**2 - 10*n - 9. Let x be p(-7). Let t be 32/x*9/6. Factor 0*f**3 + t*f**2 + 6*f**2 + 5*f**2 - 5*f**3.
-5*f**2*(f - 3)
Factor 558/5*u**2 + 2/5*u**3 + 222*u + 554/5.
2*(u + 1)**2*(u + 277)/5
Suppose 14*q - 47 = 107. Factor -13*w**3 + 1 + 10*w + 2*w**3 - 2*w + q*w**2 - 9*w**3.
-(w - 1)*(4*w + 1)*(5*w + 1)
Suppose 0 = 36*f + 3 - 39. Let v be (20/28)/(f/7). What is s in 0*s - 1/10*s**3 - 1/10*s**v - 1/5*s**4 + 0 + 0*s**2 = 0?
-1, 0
Suppose -3*l - 37*l = -148*l - 121*l. Let g(u) be the third derivative of -1/780*u**6 + 2*u**2 + 1/78*u**5 - 1/39*u**4 + 4 + l*u**3 + 0*u. Factor g(q).
-2*q*(q - 4)*(q - 1)/13
Let y be (116/(-2552))/((-318)/(-64) + (-135)/27). Factor -3/11*n**2 - 12/11 + 1/11*n**3 - y*n.
(n - 6)*(n + 1)*(n + 2)/11
Let v(z) be the second derivative of z**6/10 + 33*z**5/20 + 2*z**4 - 10*z**3 + 80*z - 2. Factor v(p).
3*p*(p - 1)*(p + 2)*(p + 10)
Factor 5704/3*u - 2/3*u**2 - 4066952/3.
-2*(u - 1426)**2/3
Let x = -28315 + 28315. Factor 1/8*m**2 + 0*m - 1/8*m**5 - 3/8*m**3 + x + 3/8*m**4.
-m**2*(m - 1)**3/8
Let p(a) be the first derivative of 15 + 0*a - 14*a**2 - a**4 + 32/3*a**3. Let p(n) = 0. Calculate n.
0, 1, 7
Let j(k) = -2*k**3 + 38*k**2 - 70*k + 20. Let r(a) = 2*a**2 - 3*a + 2. Let c(t) = -j(t) + 10*r(t). Determine l, given that c(l) = 0.
0, 4, 5
Let r(a) be the second derivative of 1/110*a**5 + 0 - 48*a - 1/66*a**4 - 3/11*a**3 + 9/11*a**2. What is f in r(f) = 0?
-3, 1, 3
Suppose 5*z - 206 = -81. Suppose 0*i - 5*i = -z. What is t in 7*t**3 - 3*t + 4*t**4 - 2*t**2 + 8*t - 11*t**3 - 3 + 1 - t**i = 0?
-1, 1, 2
Suppose 87 - 2 = 5*a. Factor 5*o - a*o**2 - 13*o**2 + 2*o**3 - 7*o**3 + 30*o**4.
5*o*(o - 1)*(o + 1)*(6*o - 1)
Let c(t) be the first derivative of t**3/7 + 3*t**2/7 + 3*t/7 - 1545. Factor c(b).
3*(b + 1)**2/7
Let q(c) be the third derivative of 3*c**7/70 + 151*c**6/160 + 77*c**5/80 - 43*c**4/16 - 3*c**3 + 3*c**2 - 26. What is d in q(d) = 0?
-12, -1, -1/4, 2/3
Let u(l) = -l**2 + l - 3. Let s(o) = 6*o**4 + 4*o**3 + 2*o**2 - 14*o + 32. Let p(k) = 2*s(k) + 20*u(k). Find y such that p(y) = 0.
-1, 1/3, 1
Let y(b) be the second d