- p. Suppose 0 - 4/7*a**5 - 2/3*a**4 + 2/21*a + 10/21*a**3 + w*a**2 = 0. What is a?
-1, -1/6, 0, 1
Let d(m) be the first derivative of 7/3*m**4 + 4*m**2 + 8*m - 22 - 5*m**3. Let h(v) be the first derivative of d(v). Factor h(c).
2*(2*c - 1)*(7*c - 4)
Let k(h) = 9*h**2 + 58*h - 240. Let y(x) = -75*x**2 - 465*x + 1920. Let r(u) = 33*k(u) + 4*y(u). Solve r(j) = 0 for j.
8, 10
Let o be (-48)/128*(-4)/9. Let g be 2/(-6)*2/(-10)*5. Factor 1/6*n**2 + o*n - g.
(n - 1)*(n + 2)/6
Let o = -34835 - -34838. Factor 0 + 1/4*a**4 - a + 3/4*a**o + 0*a**2.
a*(a - 1)*(a + 2)**2/4
Let x(u) be the first derivative of -u**4/12 - 31*u**3/9 - 199*u**2/6 + 77*u + 817. Factor x(n).
-(n - 1)*(n + 11)*(n + 21)/3
Let c = -43 - -46. What is t in -19*t**3 - 16*t**c + 6*t + 2*t**3 + 11*t**2 + 52*t**2 = 0?
-1/11, 0, 2
Let l be 105/180 + 10/(-20) + 3/12. Let a = 193/3 - 64. Find n such that -1/3*n + 1/3*n**2 + l*n**3 - a = 0.
-1, 1
Let a(c) be the first derivative of -c**6/3 - 6*c**5/5 + 3*c**4/2 + 22*c**3/3 + 6*c**2 - 471. Solve a(t) = 0 for t.
-3, -1, 0, 2
Let x = 13 + -11. Suppose -5 = -x*p + p. Factor 4*a**3 - a**p - a**5 - 2*a + 2*a**4 + 0*a**2 + 2 - 4*a**2.
-2*(a - 1)**3*(a + 1)**2
Let p(l) be the first derivative of -5*l**4/4 - 23*l**3/9 + 7*l**2/3 - 724. Factor p(h).
-h*(h + 2)*(15*h - 7)/3
Let f = 2544 - -318. Let c be 18/28*424/f. Factor 2/21*m**3 + 2/7*m + 2/7*m**2 + c.
2*(m + 1)**3/21
Solve -32673 - 108*t + 4*t**2 + 0*t**2 - 54775 - 3084*t + 724252 = 0.
399
Let k(u) be the third derivative of u**8/45360 - u**7/3780 - 7*u**6/405 + 193*u**5/60 - 61*u**2 + 3*u. Let d(g) be the third derivative of k(g). Factor d(q).
4*(q - 7)*(q + 4)/9
Let p(b) be the second derivative of 32*b**6/3 + 4*b**5 - 425*b**4/4 - 160*b**3/3 - 10*b**2 + 2095*b. Find w, given that p(w) = 0.
-2, -1/8, 2
Suppose -7*k - 15 = -4*c, 9*k - 45 = 6*k - 4*c. Suppose 6/7*d + 0 - 4/7*d**2 - 2/7*d**k = 0. Calculate d.
-3, 0, 1
Let l(s) be the first derivative of 0*s**2 + 31 - 14*s + 1/36*s**4 + 1/18*s**3. Let f(m) be the first derivative of l(m). Factor f(h).
h*(h + 1)/3
Let s(l) = -12*l**2 + 693*l - 744. Let z(y) = y**2 + 6*y. Let v(t) = s(t) + 9*z(t). Let v(c) = 0. Calculate c.
1, 248
Let v = -1384 + 1385. Let i be 0/((-18 - -14)/(2/v)). Factor -3/2*z**2 + i + 3/2*z.
-3*z*(z - 1)/2
Let h(k) be the second derivative of k**5/4 - 35*k**4/12 - 65*k**3/3 + 180*k**2 + 522*k + 1. Suppose h(d) = 0. Calculate d.
-4, 2, 9
Let n(x) be the third derivative of x**5/30 + 5*x**4/3 - 44*x**3/3 - 817*x**2. Factor n(u).
2*(u - 2)*(u + 22)
Factor 4*i - 3/2*i**2 + 51/2.
-(i + 3)*(3*i - 17)/2
Factor -808*q**4 + 66*q - 100 + 62*q - 114*q**2 + 62*q + 0*q**2 + 806*q**4 + 26*q**3.
-2*(q - 5)**2*(q - 2)*(q - 1)
Let m(d) be the second derivative of -d**6/20 + 33*d**5/40 + 119*d**4/8 + 141*d**3/4 - 405*d**2/2 + 10*d - 163. Solve m(s) = 0 for s.
-5, -3, 1, 18
Let o be ((1035/(-450))/(-23))/(2/620). Let y(n) be the first derivative of -o - 2/21*n**3 - 10/7*n**2 - 18/7*n. Factor y(z).
-2*(z + 1)*(z + 9)/7
Let n(t) be the first derivative of 2*t**5/5 + 8*t**4/5 - 94*t**3/15 - 26*t**2 - 48*t/5 - 951. Find f such that n(f) = 0.
-4, -2, -1/5, 3
Let d(c) be the third derivative of 5*c**8/336 - 8*c**7/35 - 7*c**6/24 + 347*c**5/30 + 105*c**4/2 + 196*c**3/3 + 155*c**2 + 5*c. Solve d(r) = 0.
-2, -2/5, 7
Suppose 55 = -2*h - f, 10*h - 11*h - 29 = -f. Let q be 21/75 - h/(-350). Suppose 2/5*v**3 - 3/5 + q*v**2 - 4/5*v = 0. Calculate v.
-1, 3/2
Suppose -197 = -53*y + 67 - 52. Factor 2*t + 1/2*t**2 + 0 - 1/2*t**y - 2*t**3.
-t*(t - 1)*(t + 1)*(t + 4)/2
Let n(h) = -4*h**2 + 144*h + 428. Let y(a) = 2*a**2 - 48*a - 143. Let d(c) = 3*n(c) + 8*y(c). Let o(x) = 1. Let k(b) = -d(b) - 4*o(b). Factor k(s).
-4*(s + 6)**2
Let 122/11*y**2 - 624/11 - 2/11*y**4 + 20/11*y**3 - 524/11*y = 0. Calculate y.
-6, -1, 4, 13
Let k(w) be the third derivative of w**6/60 + 133*w**5/5 + 4303*w**2. Factor k(y).
2*y**2*(y + 798)
Let m be (-24)/(-20)*(-3 + -2). Let l be 3/(m - -3) + 11. Factor 15*u**2 - l*u**2 - u**2.
4*u**2
Factor -51/2*x + 45 + 3/2*x**2.
3*(x - 15)*(x - 2)/2
Let z(q) be the first derivative of 5*q**4/4 + 5*q**3 - 225*q**2/2 - 875*q - 124. Find i such that z(i) = 0.
-5, 7
Find o such that -528/5*o - 14/5*o**2 + 152/5 = 0.
-38, 2/7
What is q in 1222*q + 60*q**2 - 17672/3 + 2/3*q**3 = 0?
-47, 4
Let q(t) be the second derivative of 21*t**7/10 + 3829*t**6/50 + 95923*t**5/100 + 74043*t**4/20 - 9396*t**3 + 7290*t**2 - 530*t + 3. Let q(o) = 0. What is o?
-9, 10/21
Let z(s) be the third derivative of 1 + 24*s**2 + 0*s - 4*s**3 + 3/8*s**6 + 1/10*s**5 - 15/2*s**4. Determine b, given that z(b) = 0.
-2, -2/15, 2
Let r = 5811/2555 + -48/365. Let -l**2 + 1/7*l**3 - 9/7 + r*l = 0. What is l?
1, 3
Let m(q) be the third derivative of 35/2*q**3 + 0*q + 1/12*q**5 - 55/12*q**4 + 0 - 134*q**2. Solve m(x) = 0.
1, 21
Factor -10/13*c**2 + 66/13*c - 54/13 - 2/13*c**3.
-2*(c - 3)*(c - 1)*(c + 9)/13
Let z(u) = -180*u**3 + 9988*u**2 - 141764*u + 55123. Let j(f) = -4*f**2 + 1. Let k(p) = -11*j(p) + z(p). Factor k(a).
-4*(3*a - 83)**2*(5*a - 2)
Suppose 14*y - 386 = 13*y. Suppose 3*s - y = -371. Suppose 4/9 - 4/3*p - 5/9*p**s - 1/9*p**2 - 1/3*p**4 + 17/9*p**3 = 0. Calculate p.
-2, -1, 2/5, 1
Let f = 62037 + -434257/7. Factor -1/7*x**5 + 1/7*x + 0*x**3 + 0 - f*x**4 + 2/7*x**2.
-x*(x - 1)*(x + 1)**3/7
Let w(l) = -85*l**3 - 51395*l**2 + 129415*l - 51635. Let m(j) = -6*j**3 - 3671*j**2 + 9244*j - 3688. Let z(k) = 55*m(k) - 4*w(k). Factor z(x).
5*(x - 2)*(x + 370)*(2*x - 1)
Suppose 5*v - 8 = 4*y, y + 29 = 5*v + 4*y. Let j be (8 - 612/45)*(-5 + 0). What is u in -35*u**v + 88*u + j*u**3 + 136*u**2 - 25/2*u**5 + 16 = 0?
-2, -2/5, 2
Let v(l) = -5235*l + 376984. Let h be v(72). Determine y so that h*y - 224/3 - 2/21*y**4 - 176/21*y**2 - 16/7*y**3 = 0.
-14, 2
Let m = -208 - -213. What is k in -72*k - 337*k**3 + 2349*k**4 - 433*k**5 - 516*k**2 + 31*k**3 - 296*k**m = 0?
-2/9, 0, 2/3, 3
Let m(h) = 17*h**3 + 4657*h**2 + 4642*h + 1166. Let o(d) = -35*d**3 - 9315*d**2 - 9285*d - 2330. Let p(r) = -5*m(r) - 3*o(r). Let p(t) = 0. What is t?
-232, -1/2
Let o(k) = 6*k**3 + 31*k**2 - 71*k + 69. Let v(u) = -2*u**3 - 16*u**2 + 38*u - 34. Let l(j) = -2*o(j) - 5*v(j). Solve l(b) = 0.
1, 4
Let v(g) be the third derivative of g**9/332640 + g**8/55440 + 13*g**5/20 + 8*g**2 - 3*g. Let o(k) be the third derivative of v(k). Factor o(u).
2*u**2*(u + 2)/11
Factor -5*c**2 + 13*c + 4*c + 26*c - 3*c + 0*c**2 - 80.
-5*(c - 4)**2
Let q(h) be the first derivative of -2*h**5/65 - 891*h**4/26 - 132610*h**3/13 - 198025*h**2/13 + 12100. Suppose q(g) = 0. What is g?
-445, -1, 0
Let r(k) = -18*k**3 + 98*k**2 + 132*k + 22. Let g(z) = -94*z**3 + 490*z**2 + 661*z + 110. Let y(q) = -4*g(q) + 22*r(q). Suppose y(i) = 0. Calculate i.
-1, -1/5, 11
Suppose 4*x - 5*x + 2 = 0. Find k, given that -72 - 47*k + 15*k + 0*k**x + 2*k**2 = 0.
-2, 18
Let n(w) = w**2 - 225*w + 9354. Let u be n(170). Determine l, given that 6/7*l**3 + 3*l + 6/7 + 24/7*l**2 - 6/7*l**u - 3/7*l**5 = 0.
-1, 2
Let r(u) be the first derivative of 8*u**2 - 20/3*u**3 + 0*u + 236 + u**4. Determine c, given that r(c) = 0.
0, 1, 4
Let t be 0*(6 - ((-168)/18 + 15)). Factor t*n - 2*n**2 + 0 - 1/2*n**4 + 5/2*n**3.
-n**2*(n - 4)*(n - 1)/2
Let a(s) = -2*s**3 - s**2 + s + 3. Let b(q) = 17*q**3 - 144*q**2 - 161*q - 18. Let m(v) = 6*a(v) + b(v). Find x such that m(x) = 0.
-1, 0, 31
Let z(u) be the first derivative of -u**6/60 - u**5/30 + 5*u**4/12 - u**3 - u**2/2 - 2*u - 65. Let k(x) be the second derivative of z(x). Factor k(n).
-2*(n - 1)**2*(n + 3)
Let v(i) = -i**4 - 2*i**3 + i**2 - 2*i + 1. Let a(b) = 7*b**4 - 56*b**3 - 307*b**2 - 236*b - 2. Let j(p) = a(p) + 2*v(p). Factor j(m).
5*m*(m - 16)*(m + 1)*(m + 3)
Let a = -11 + 61. Let x be (-12*5/a)/((-10)/25). Factor 0 + 2/9*s**x + 0*s - 4/9*s**2.
2*s**2*(s - 2)/9
Let u(i) be the second derivative of -i**5/40 + 13*i**4/12 - 46*i**3/3 + 96*i**2 - i - 2381. Factor u(t).
-(t - 16)*(t - 6)*(t - 4)/2
Suppose 144 = 38*v - 2*v. Find y such that 6*y**2 - 19*y**v + y**4 - y**3 + 8*y**4 - 8 + 9*y**4 + 4*y = 0.
-2, 1, 2
Let m(c) be the second derivative of 7*c**4/48 - 181*c**3/24 - 13*c**2/4 + 7078*c. Factor m(s).
(s - 26)*(7*s + 1)/4
Let d(v) = -438*v**2 - 4 + 18*v + 207*v**2 + 230*v**2. Let h(i) = -2*i**2 + 21*i - 5. Let f(n) = 5*d(n) - 4*h(n). Find