 = 5, -2*y - 5*b = -h. Let 3*l**2 - y - 4 + 1 = 0. What is l?
-2, 2
Suppose 78 = 48*a - 10 - 8. Let k(r) be the first derivative of -3/10*r**a - 46 + 0*r + 1/15*r**3. Determine b, given that k(b) = 0.
0, 3
Let m(d) be the second derivative of -3*d**5/5 - 31*d**4/6 + 31*d**3/3 + 6*d**2 - 313*d - 2. Solve m(p) = 0.
-6, -1/6, 1
Let b(i) be the first derivative of -4/9*i**3 + 2/3*i**2 - 35 + 0*i. Factor b(a).
-4*a*(a - 1)/3
Let a(d) be the first derivative of -153 + 0*d - 12/35*d**5 + 2/7*d**4 + 16/7*d**3 - 2/21*d**6 + 16/7*d**2. What is h in a(h) = 0?
-2, -1, 0, 2
Let z(f) be the third derivative of 281*f**5/300 - 283*f**4/120 + f**3/15 - 2727*f**2. Find n, given that z(n) = 0.
2/281, 1
Let k(i) be the first derivative of i**6/1620 - i**5/90 - 29*i**3 + 34. Let n(b) be the third derivative of k(b). Factor n(a).
2*a*(a - 6)/9
Suppose -5*w - 20 = 0, -3*w - 47 = 3*d - 2*d. Let u be (-120)/(-28)*(-28)/d. Factor -u*q - 57/7*q**2 - 3*q**3 + 12/7.
-3*(q + 1)*(q + 2)*(7*q - 2)/7
Let g(r) = 3*r**2 - r + 2. Let o = 389 + -394. Let f(l) = 70*l**2 + 100*l. Let i(u) = o*g(u) - f(u). Factor i(m).
-5*(m + 1)*(17*m + 2)
Factor -3/7*n**2 - 150/7*n + 477/7.
-3*(n - 3)*(n + 53)/7
Suppose 30*p = 23*p - 14. Let c(i) = i**2 + 107*i + 257. Let o(w) = -w**2 - 53*w - 128. Let d(l) = p*c(l) - 5*o(l). Factor d(f).
3*(f + 3)*(f + 14)
Let h(o) = o**3 - 137*o**2 - 566*o - 660. Let p(l) = 20*l**3 - 2330*l**2 - 9615*l - 11220. Let d(s) = 35*h(s) - 2*p(s). Suppose d(n) = 0. What is n?
-22, -3, -2
Suppose -s + 5*m = 30, -8169 = -m - 8163. Let -f + 8/7*f**2 + s - 1/7*f**3 = 0. What is f?
0, 1, 7
Let m(s) be the first derivative of 7*s**4/4 - 4*s**3/3 - 17*s**2/2 - 6*s + 1079. Factor m(d).
(d - 2)*(d + 1)*(7*d + 3)
Let b(y) = -45*y**2 - 555*y + 1120. Let n(h) = -8*h**2 - h. Let f(j) = -b(j) + 5*n(j). Factor f(i).
5*(i - 2)*(i + 112)
Let t(n) be the third derivative of -n**5/50 + 229*n**4/15 + 204*n**3/5 + 608*n**2 - 2*n. Factor t(j).
-2*(j - 306)*(3*j + 2)/5
Factor 4*o**4 + 44*o**2 + 29*o**3 - 104*o - 29*o**3 + 34*o**3 + 22*o**3.
4*o*(o - 1)*(o + 2)*(o + 13)
Suppose -9 = -3*a, -w - 108 = -4*w - 4*a. Solve 208*z**2 - 34*z**4 + 164 + 19*z**4 + w + 532*z - 29*z**4 + 216*z**2 + 40*z**3 + 4*z**5 = 0.
-1, 7
Let j be (-92 - -44 - -55)*114/378. Find c, given that 20/9 + 4/3*c - 4/3*c**3 - 1/9*c**4 - j*c**2 = 0.
-10, -2, -1, 1
Let m(c) be the second derivative of 50*c + 1/75*c**6 - 7/15*c**4 + 3/50*c**5 - 4/5*c**3 + 8*c**2 + 0. Determine g so that m(g) = 0.
-5, -2, 2
Let l(z) be the third derivative of -z**2 + 1/15*z**5 - 24*z**3 - 8/3*z**4 - 5*z + 0. Factor l(i).
4*(i - 18)*(i + 2)
Let a(j) be the third derivative of j**7/630 + j**6/24 - 11*j**5/60 + 17*j**4/72 + 2*j**2 - 6. Let a(c) = 0. Calculate c.
-17, 0, 1
Let y = -282500 - -282503. Suppose 2/7*l**y + 0 + 6/7*l - 8/7*l**2 = 0. Calculate l.
0, 1, 3
Let k(t) be the first derivative of 2*t**5/11 - 17*t**4/11 - 14*t**3/33 - 2153. Let k(c) = 0. Calculate c.
-1/5, 0, 7
Let o(a) be the first derivative of -a**5/15 - 5*a**4/12 + 10*a**2/3 + 16*a/3 - 2487. Find t such that o(t) = 0.
-4, -2, -1, 2
Let c(i) be the third derivative of 32*i**2 - 1/45*i**6 - 1/210*i**7 + 0 + 1/60*i**5 + 0*i**4 + 0*i**3 + 0*i. Factor c(a).
-a**2*(a + 3)*(3*a - 1)/3
Let d be 10/(-6)*-3 - -2*1. Let b be -9 + (6 - d - -13). What is i in 9/4 + 3*i**2 - 3/8*i**b - 39/8*i = 0?
1, 6
Factor 8*p**5 + 5*p**3 + 37*p**5 + 4*p**4 - 46*p**5.
-p**3*(p - 5)*(p + 1)
Let v be (-2*(-10)/4)/((-19)/(-38)). Let p(u) be the second derivative of v*u - 1/21*u**4 - 2/35*u**5 + 2/7*u**2 + 4/21*u**3 + 0. Suppose p(t) = 0. What is t?
-1, -1/2, 1
Let k(a) = a**3 + 5*a**2 - 27*a - 132. Let t be k(-5). Let j be 33/11 + (-3)/1. Factor -3/5*s**2 - 3/5*s**4 + 0 - 6/5*s**t + j*s.
-3*s**2*(s + 1)**2/5
Suppose -29*z + 320 = 11*z. Suppose -z*d = -39*d + 62. Determine u so that 6/7*u**d + 0*u**3 + 0 - 4/7*u - 2/7*u**4 = 0.
-2, 0, 1
Let j(t) be the third derivative of -t**7/280 - t**6/80 + 3*t**5/5 - 63*t**4/16 + 81*t**3/8 + 1364*t**2 - 2. Determine h so that j(h) = 0.
-9, 1, 3
Suppose -54*u = -u - 116 - 43. Let a(c) be the first derivative of 1/12*c**6 - 7/6*c**u - 1/2*c**5 + 0*c + 9/8*c**4 + 1/2*c**2 - 33. Solve a(p) = 0.
0, 1, 2
Let w(s) be the second derivative of -s**8/2240 - s**7/280 + s**6/60 + s**4/4 + 2*s**3 - 23*s. Let z(x) be the third derivative of w(x). Factor z(t).
-3*t*(t - 1)*(t + 4)
Let k = 915 + -877. Suppose -48*v - k*v = -10*v. Find l such that -6*l**3 + v*l - 2/5*l**5 - 14/5*l**4 + 0 - 18/5*l**2 = 0.
-3, -1, 0
Let d(l) be the first derivative of -l**4/21 + 232*l**3/21 - 6728*l**2/7 + 252*l - 145. Let y(f) be the first derivative of d(f). Find s, given that y(s) = 0.
58
Let v(h) be the third derivative of h**7/630 + h**6/9 + 103*h**4/12 - 226*h**2. Let c(r) be the second derivative of v(r). Factor c(s).
4*s*(s + 20)
Let c be (12/(-14))/(10 - (-1104)/(-112)). Let w be c/(-3)*(-8)/(-64). Factor 1/2*g - w*g**2 + 3/4.
-(g - 3)*(g + 1)/4
Let l = -9249632/23 + 402192. Let y be (3/(-69))/((-2)/64). Suppose y*m + 0 - 686/23*m**5 + l*m**4 + 1008/23*m**3 + 320/23*m**2 = 0. What is m?
-2/7, 0, 2
Suppose -30/11*s**3 - 2/11*s**4 - 152/11*s + 0 + 144/11*s**2 = 0. Calculate s.
-19, 0, 2
Let c be (-2 + 1)*-3 + 1 - 0. Suppose -2*n = 4*w - 2, -w - n - c*n = -5. Let w + 0*r**2 + 21/4*r**5 + 0*r - 27/4*r**4 + 3/2*r**3 = 0. What is r?
0, 2/7, 1
Let n(h) = h**3 + 194*h**2 + 8441*h - 894. Let s be n(-128). Factor -18/7*d**3 + 0*d + 2/7*d**5 - 10/7*d**s - 6/7*d**4 + 0.
2*d**2*(d - 5)*(d + 1)**2/7
Let k(y) be the third derivative of -y**7/3360 - y**6/960 + y**5/80 - y**4/8 + 37*y**2. Let a(f) be the second derivative of k(f). Factor a(x).
-3*(x - 1)*(x + 2)/4
Let y(b) be the first derivative of -b**9/16632 - b**8/1848 - b**7/660 - b**6/660 - b**3/3 + b**2 - 23. Let m(k) be the third derivative of y(k). Factor m(t).
-2*t**2*(t + 1)**2*(t + 3)/11
Let k(m) be the second derivative of m**5/35 - 149*m**4/21 + 598*m**3 - 104742*m**2/7 - 3781*m. Factor k(f).
4*(f - 69)**2*(f - 11)/7
Let b(r) = -r + 7. Suppose 0 = -5*v + 20, -3*s + 5*v = -5 + 13. Let y be b(s). Determine d, given that -2*d**2 - 4 + d**2 + y*d + 2 = 0.
1, 2
Let i(l) = -2*l + 7. Let m be i(0). Suppose m*x = 6*x + 3. Factor 12*z**x - 8*z**2 + 2*z**2 + 3*z - 13*z**3 + 4*z**3.
3*z*(z - 1)**2
Let y(s) be the first derivative of 5*s**4/16 - 35*s**3/12 - 85*s**2/8 - 45*s/4 + 428. Solve y(z) = 0 for z.
-1, 9
Let z(b) = 10*b**3 + 1370*b**2 + 126985*b + 3893440. Let d(s) = -9*s**3 - 1372*s**2 - 126980*s - 3893440. Let y(k) = -5*d(k) - 4*z(k). Factor y(w).
5*(w + 92)**3
Factor 8*h**2 - 16*h**2 - 15 + 8*h**2 - 10*h + 5*h**2.
5*(h - 3)*(h + 1)
Let i(h) be the third derivative of h**6/24 + 43*h**5/12 + 385*h**4/4 + 3*h**2 + 69*h. Solve i(a) = 0.
-22, -21, 0
Let a be (-3094)/(-65) + -46 - (92/(-35))/(-2). Let -a*t**2 + 36/7*t - 162/7 = 0. What is t?
9
Let y = -646906 + 646913. Factor y*w - 4 - 7/2*w**2 + 1/2*w**3.
(w - 4)*(w - 2)*(w - 1)/2
Find c, given that -1475 - 3*c**4 + 57*c**3 + 734 - 537*c**2 + 354*c + 741 + 129*c**3 = 0.
0, 1, 2, 59
Factor -30/7*x - 3*x**2 + 27/7 + 24/7*x**3.
3*(x - 1)**2*(8*x + 9)/7
Let f(d) be the first derivative of -3*d**5/20 - 689*d**4/4 - 316939*d**3/6 - 105111*d**2/2 + 210681*d/4 - 30. Suppose f(q) = 0. What is q?
-459, -1, 1/3
Let w(s) be the first derivative of 16/3*s**2 + 20/9*s**3 + 1/3*s**4 + 16/3*s - 92. Factor w(u).
4*(u + 1)*(u + 2)**2/3
Let r be ((-7258)/665 + 2/(-7))/(24/(-20)) - 8. Determine p, given that 0 + r*p**2 - 16/9*p - 2/9*p**3 = 0.
0, 2, 4
Let k(i) be the third derivative of i**7/735 + 17*i**6/105 + 31*i**5/35 - 145*i**4/21 + 325*i**3/21 + 9100*i**2. Let k(b) = 0. Calculate b.
-65, -5, 1
Let u(b) be the first derivative of -b**6/15 + 8*b**5/5 - 7*b**4 + 40*b**3/3 - 13*b**2 + 32*b/5 + 5443. Determine s, given that u(s) = 0.
1, 16
Let z = -50267/5 - -10054. Find r such that 0 + 33/5*r + z*r**2 = 0.
-11, 0
Let t(y) be the second derivative of y**4/24 + 4363*y**3/6 + 19035769*y**2/4 - 8863*y - 1. What is v in t(v) = 0?
-4363
Let u be -14 + 5*16181/5775. Let j(x) be the second derivative of -1/42*x**4 + 0*x**2 + 0 + 1/70*x**5 - 14*x + u*x**6 - 1/21*x**3. Factor j(y).
2*y*(y - 1)*(y + 1)**2/7
Suppose -65 = -4*y + 5*b, 125*b - 13 = 126*b. Determine l so that 15/2*l - 3/4*l**3 + y + 9/4*l**2 = 0.
-2, 0, 5
Let i(h) be th