+ 1/5*v + 0 = 0. Calculate v.
-1, 0
Let h(w) = 4*w**3 - 2*w**2 + w. Suppose 4*t - 2*r + 4 = 2*r, 2*t - 3*r = -4. Let f be h(t). Factor 3*j**2 + 2*j**f + 20*j + 4*j**4 - 16*j - 13*j**2.
2*j*(j - 1)*(j + 2)*(2*j - 1)
Let k be (-6)/(-5)*10*(-18)/(-324). Factor -4/3 + 2*z - k*z**3 + 0*z**2.
-2*(z - 1)**2*(z + 2)/3
Let z(t) be the first derivative of -t**6/45 + 124*t**5/15 - 6365*t**4/6 + 424112*t**3/9 + 443456*t**2/3 + 2249728*t/15 + 1401. Let z(j) = 0. Calculate j.
-1, 104
Let s(p) be the second derivative of -3/14*p**4 + 0 + 1/70*p**5 + 0*p**2 + 0*p**3 + 290*p. Factor s(k).
2*k**2*(k - 9)/7
Suppose b = -5, -1 + 3 = -3*h - b. Let j be 205/65 + ((-11)/(-13) - h). Let 0 + 2/5*x**5 + 2/5*x + 0*x**4 - 4/5*x**j + 0*x**2 = 0. Calculate x.
-1, 0, 1
Suppose 3*z + 12 + 0 = 0. Let o be 65/(-40)*z*(-2 - -5). Factor 9/2 - 6*n**3 - o*n + 24*n**2.
-3*(n - 3)*(2*n - 1)**2/2
Let v = -521 + 573. Suppose -44*j = -v*j + 16. Suppose -3/2 + m - 2*m**3 + 5/2*m**j = 0. What is m?
-3/4, 1
Find t such that 1/5*t**2 - 552/5 - 274/5*t = 0.
-2, 276
Let h be (-50)/6*(50072/(-278810) + 1/(-49)). Suppose -40/3*q - 35/3 - h*q**2 = 0. Calculate q.
-7, -1
Let y(z) = -124505*z - 249005. Let b be y(-2). Determine t so that 8 + b*t + 1/2*t**2 = 0.
-8, -2
Let l(n) be the first derivative of 2*n**5/75 - 2*n**4/15 - 22*n**3/45 + 2*n**2 - 3280. Solve l(a) = 0.
-3, 0, 2, 5
Let x = 111 - -3772. Factor -54 + 3886*f**2 - x*f**2 - 2*f + 11*f.
3*(f - 3)*(f + 6)
Let x(v) be the second derivative of -v**5/50 - v**4/2 - 18*v**3/5 - 8*v**2 + 1134*v. Factor x(g).
-2*(g + 1)*(g + 4)*(g + 10)/5
Let k = -317 + 319. Factor 22*q**2 - 32*q**2 + 11*q + 19*q + 13*q**k.
3*q*(q + 10)
Suppose 8 = -19*b - 20 - 29. Let r(m) = -8 + 9*m + 3 + 11*m**2 + 2*m**3 - 2. Let n(o) = -o**3 - 5*o**2 - 4*o + 3. Let q(x) = b*r(x) - 7*n(x). Factor q(g).
g*(g + 1)**2
Let o(h) be the third derivative of -11*h**6/24 + 173*h**5/4 + 1085*h**4/12 - 80*h**3 - h**2 - 83*h + 13. Factor o(l).
-5*(l - 48)*(l + 1)*(11*l - 2)
Let r(f) = f**2 - 21*f + 95. Let d be r(15). What is s in 10*s**2 + 8 + 254*s**5 + 12*s**3 - 35*s + 14*s**3 - 25*s**4 + 4*s**3 + 7 - 249*s**d = 0?
-1, 1, 3
Suppose 866*s**2 - 25*s**4 - 860*s**2 - 42*s**3 - 3*s**5 - 2*s**4 + 45*s + 21 = 0. Calculate s.
-7, -1, 1
Let j(z) be the second derivative of z**6/60 - 201*z**5/40 - 181*z**4/3 - 140*z**3 + 832*z**2 + 705*z - 7. Factor j(l).
(l - 208)*(l - 1)*(l + 4)**2/2
Let j be (89 - 78) + 1/(-2)*14. Suppose -3/2*y**3 - 7/2*y**2 - j + 9*y = 0. Calculate y.
-4, 2/3, 1
Let 107/7*b**2 + 142/7*b + 5/7*b**3 + 40/7 = 0. Calculate b.
-20, -1, -2/5
Let y = -70 + 74. Suppose -45 + 37 = -y*g. Factor -1/4*m**g - 1/4*m + 0.
-m*(m + 1)/4
Factor 3*y**2 + 538*y + 2800*y + 729147 - 380*y.
3*(y + 493)**2
Solve 0 - 9/5*w**2 + 9/5*w**4 + 33/5*w**3 - 6*w - 3/5*w**5 = 0.
-2, -1, 0, 1, 5
What is d in 534252 - 2532*d - 6*d**2 + 5*d**2 - 15*d**2 + 20*d**2 - d**2 = 0?
422
Let z(q) be the first derivative of -10*q**3/3 - 7935*q**2/4 + 1985*q/2 - 8630. Factor z(c).
-5*(c + 397)*(4*c - 1)/2
Suppose 2 + 2 = 5*i + 3*x, -2*x - 14 = -5*i. Let l be 35/(-210)*(-45)/i. Suppose 3/4*o**4 - 3*o + 0 + 6*o**2 - l*o**3 = 0. Calculate o.
0, 1, 2
Let v(b) be the third derivative of -17 - 9/4*b**3 + 1/80*b**5 + 0*b + 3/32*b**4 + b**2. Factor v(i).
3*(i - 3)*(i + 6)/4
Let v = -5967 - -5969. Let q be ((-2)/(-3) - 3/9)*10. Let -q + 8/3*k + 2/3*k**v = 0. Calculate k.
-5, 1
Let b(o) be the third derivative of -o**5/40 + 216*o**4 - 746496*o**3 + 17*o**2 + 9. Factor b(j).
-3*(j - 1728)**2/2
Let p be ((-13312)/2560)/((-910)/50). Find c such that 2*c**3 + 12/7 - 2*c - p*c**4 - 10/7*c**2 = 0.
-1, 1, 6
Let p(d) = d**2 + 530*d + 10691. Let x be p(-21). Factor 0*m + 2/7*m**4 - 1/7*m**3 + 0 + 0*m**x - 1/7*m**5.
-m**3*(m - 1)**2/7
Let n(c) be the second derivative of 3*c**5/160 - c**4/4 - 11*c**3/16 + 27*c**2/8 - 2797*c. Find t such that n(t) = 0.
-2, 1, 9
Let p = 12 + -5. Let l = p + 3. Factor 94*z**2 - z - 90*z**2 + 6 + z**3 - l*z.
(z - 1)**2*(z + 6)
Let n be (-6 + (-318)/15)*15/(-6). Suppose -10*f**3 + 5*f**4 + n*f + 64*f - 24*f - 40*f**2 - 45 - 18*f = 0. Calculate f.
-3, 1, 3
Let b(f) be the first derivative of f**5/15 - 2*f**3/3 + 64*f**2 + 104. Let i(l) be the second derivative of b(l). Let i(n) = 0. Calculate n.
-1, 1
Find d such that -1020*d**2 - 1/2*d**4 - 1352 - 172*d**3 - 2032*d = 0.
-338, -2
Let r(w) be the third derivative of 0*w + 7*w**2 + 17/72*w**4 + 0*w**3 - 4 + 1/180*w**5. Let r(n) = 0. Calculate n.
-17, 0
Determine c so that -36/5*c**2 + 0 + 0*c + 2/5*c**3 = 0.
0, 18
Let c be 0/(-9 + (3 + -1)*3 + 2). Let r(h) be the third derivative of -25*h**2 + 0*h + c + 1/20*h**5 + 1/4*h**4 + 0*h**3. Factor r(b).
3*b*(b + 2)
Let l(h) be the third derivative of h**5/360 - 425*h**4/72 + 180625*h**3/36 - 276*h**2. Let l(n) = 0. What is n?
425
Let c(g) be the third derivative of g**5/330 - 61*g**4/132 + 118*g**3/33 + 7*g**2 + 63*g. Suppose c(q) = 0. Calculate q.
2, 59
Find t such that 5*t**2 + 4*t**4 + 68 - 28*t**3 - 248*t**2 + 85*t - 25*t + 724 + 55*t**2 = 0.
-3, 2, 11
Let r = -213240 + 213240. Let 102/5*a**4 + 36/5*a + 184/5*a**3 + r + 138/5*a**2 + 4*a**5 = 0. What is a?
-2, -3/2, -1, -3/5, 0
Let w(r) = 2*r**3 - 75*r**2 - 54*r + 7801. Let m(i) = -i**3 - 3*i - 2. Let c(v) = m(v) - w(v). Suppose c(k) = 0. What is k?
-9, 17
Let m(t) be the first derivative of -t**4/21 - 10*t**3/21 + 12*t**2/7 + 56*t - 73. Let c(g) be the first derivative of m(g). Factor c(k).
-4*(k - 1)*(k + 6)/7
Let b(j) be the third derivative of -1/2*j**4 + 0*j + 96*j**2 - 7/3*j**3 + 1/30*j**5 + 0. Solve b(l) = 0.
-1, 7
Let c(x) = 3*x**2 - x + 1. Let w be c(1). Let k = 11887 - 11884. Factor -32*s**2 + 31*s**2 + s**3 - 3*s**k + w*s**3.
s**2*(s - 1)
Let f = -1079/120 - -493/40. Factor 35*o + 55/3 - f*o**2.
-5*(o - 11)*(2*o + 1)/3
Let j(q) be the second derivative of 0*q**2 + 3*q + 5/3*q**4 + 5/42*q**7 + 20/3*q**3 - 1/6*q**6 - 3/2*q**5 + 3. Solve j(z) = 0 for z.
-2, -1, 0, 2
Let x(b) be the second derivative of -b**5/5 - 32*b**4 - 1920*b**3 - 51200*b**2 + 943*b - 2. Suppose x(u) = 0. Calculate u.
-40, -16
Let l be (880/1920)/((-22)/(-8)). Find q such that 0 - l*q**3 + q - 5/6*q**2 = 0.
-6, 0, 1
Let d be (-66)/110 + (284/(-15))/(-4) - 4. Let g(m) be the second derivative of 0 - 4*m + d*m**3 + 1/5*m**2 + 1/30*m**4. Factor g(i).
2*(i + 1)**2/5
Let t(q) = 5*q**2 + 8*q + 7. Let k(y) = -4*y**3 - 3*y**2 + 2*y. Let r be k(1). Let o(u) = -6*u**2 - 7*u - 6. Let f(a) = r*t(a) - 4*o(a). Factor f(p).
-(p + 1)*(p + 11)
Let j(p) be the first derivative of -3*p**5/5 - 189*p**4/4 + 332*p**3 - 810*p**2 + 816*p + 7929. What is c in j(c) = 0?
-68, 1, 2
Suppose 29*h + 2*h = 23 + 39. Let l = 21 - 15. Factor 2*x + 3 - 6*x + 4*x**2 + l*x**h - 9.
2*(x - 1)*(5*x + 3)
Let y(k) be the second derivative of -3*k**5/100 - 61*k**4/20 - 6*k**3 + 2369*k. Find g such that y(g) = 0.
-60, -1, 0
Let m be (104/12 + -3 - 7)*-3. Let s(f) be the second derivative of -5/2*f**3 - 5/6*f**m - 1/12*f**5 + 0 - 10/3*f**2 + 11*f. Factor s(z).
-5*(z + 1)**2*(z + 4)/3
Suppose 0 = 24*b - 7330 + 7042. Let y(i) be the third derivative of -1/3*i**5 + 8/3*i**3 + 0 + 0*i - b*i**2 + 4/3*i**4. Let y(m) = 0. Calculate m.
-2/5, 2
Let x(l) be the second derivative of 3*l**5/80 + 45*l**4/4 + 2193*l**3/2 + 22188*l**2 - 7324*l. Factor x(n).
3*(n + 8)*(n + 86)**2/4
Let m(q) be the first derivative of -q**4/4 - 122*q**3/3 - 475*q**2/2 - 354*q - 1295. Factor m(j).
-(j + 1)*(j + 3)*(j + 118)
Let w(c) be the second derivative of c**4/42 - 64*c**3/7 + 935*c**2/7 + 2072*c. Solve w(j) = 0 for j.
5, 187
Let g(r) be the third derivative of r**6/280 - 23*r**5/140 - 7*r**4/8 - 25*r**3/14 + 2*r**2 - 61*r + 22. Factor g(i).
3*(i - 25)*(i + 1)**2/7
Let z(t) be the first derivative of t**4/4 + 58*t**3/3 + 448*t**2 + 1568*t - 1219. What is x in z(x) = 0?
-28, -2
Let p = -27947 + 27949. Let u be 2*9 - 4/2. Factor 1/4*r**3 + u + 12*r + 3*r**p.
(r + 4)**3/4
Factor -6673*o**4 - 6668*o**4 + 13336*o**4 + 90*o**3.
-5*o**3*(o - 18)
Let r be 4956/(-472)*4/(-14). Let w(g) be the first derivative of 0*g**r - 5/2*g**2 + 5/4*g**4 + 0*g + 46. Determine h so that w(h) = 0.
-1, 0, 1
Let o(h) be the second derivative of -1/12*h**4 + 0*h**2 - 36*h - 13/2*h**3 + 0. Find u, given that o(u) = 0.
-39, 0
Let m = -2/104453 - -313375/835624. Factor 0 - m*o**2 + 0*o.
-