 be the second derivative of s(a). Factor y(d).
2*d**2*(d - 3)*(d - 2)/5
Let b(z) = z**2 - 7*z - 3. Let h be b(8). Let 5*d**2 - 6 + 12 + 0 - h*d - 6 = 0. What is d?
0, 1
Let v(m) be the second derivative of -m**8/26880 + m**7/2016 - m**6/360 + m**5/120 - 37*m**4/3 + 184*m. Let c(t) be the third derivative of v(t). Factor c(h).
-(h - 2)**2*(h - 1)/4
Let 12*m**3 + 10*m**4 + 13*m + m**3 - 18*m**2 + 56*m + 3*m**3 - 85*m + 8 = 0. Calculate m.
-2, -1, 2/5, 1
Suppose -128 = -6*m - 44. Let b = 19 - m. Suppose -32*k**5 + 92*k**b + 28*k**2 - 35*k**5 + 8*k - 6*k**3 - 55*k**4 = 0. What is k?
-2/5, 0, 1, 2
Let g(d) be the second derivative of 7*d**5/5 - 16*d**4/3 + 22*d**3/3 - 4*d**2 - 226*d + 1. Determine u so that g(u) = 0.
2/7, 1
Let y be (0 - -1)/((-3)/12) + -88. Let h = y + 102. Factor -26 - 64*x + 51*x**2 - 20*x**3 - 119*x**2 + h.
-4*(x + 1)*(x + 2)*(5*x + 2)
Let p = 53237/16919 - 9/2417. Suppose -16/7*g**5 + 6/7*g - 22/7*g**2 + 10/7*g**3 + p*g**4 + 0 = 0. Calculate g.
-1, 0, 3/8, 1
Let y(d) be the third derivative of -1/30*d**6 - 40/3*d**3 - 4*d**4 - 111*d**2 + 0 + 0*d - 3/5*d**5. Solve y(a) = 0.
-5, -2
Let m be (-2847)/(-702) - (-2)/(-36). Let v(u) be the third derivative of 1/20*u**5 - 3/2*u**3 - 8*u**2 + 1/4*u**m + 0*u + 0. Let v(d) = 0. What is d?
-3, 1
Suppose -5 = 4*o - 5*o + 3*r, 3*o - r = 39. Let m be 4 - (22 - 24 - (-80)/o). Factor -m*a + 0 + 2/7*a**2.
2*a*(a - 1)/7
Let t(c) be the third derivative of -c**7/210 + 31*c**6/60 + c**5/20 - 23*c**4/3 - 62*c**3/3 - 3*c**2 - 132. Factor t(p).
-(p - 62)*(p - 2)*(p + 1)**2
Let b be ((-24)/(-15))/(52/65). Let w = 104/5 + -20. Factor 0 + 2/5*z + 2/5*z**3 + w*z**b.
2*z*(z + 1)**2/5
Let p(q) be the third derivative of -q**6/120 - 4*q**5/3 - 437*q**4/6 - 2888*q**3/3 - 679*q**2 - 2*q. Solve p(m) = 0 for m.
-38, -4
Let b be -257 - -257 - (2 - -2)*(-15)/50. Factor -b*x**2 + 4/5*x + 0 + 2/5*x**3.
2*x*(x - 2)*(x - 1)/5
Let c(n) be the third derivative of n**7/2625 + 9*n**6/500 + 16*n**5/125 - 64*n**4/15 + 3774*n**2. Factor c(o).
2*o*(o - 5)*(o + 16)**2/25
Let p = -9432 + 9437. Let k(y) be the second derivative of 2*y**2 - 1/4*y**4 + 0 + 1/10*y**p + 21*y + 1/30*y**6 - 2/3*y**3. Solve k(i) = 0 for i.
-2, 1
Let s(i) be the first derivative of -1/480*i**6 - 1/48*i**4 + 13/2*i**2 + 0*i + 21 + 0*i**3 + 1/80*i**5. Let v(o) be the second derivative of s(o). Factor v(u).
-u*(u - 2)*(u - 1)/4
Let l = 403 - 305. Solve 123*p - 48*p + 26 + 45*p - 4*p**2 + l = 0.
-1, 31
Let s = -21973 + 22006. Let r(b) be the first derivative of s + 5/3*b**3 - 40*b - 35/2*b**2. Factor r(k).
5*(k - 8)*(k + 1)
Factor -8946450 - 75*g**2 + 217*g**2 - 8460*g - 144*g**2.
-2*(g + 2115)**2
Let y(z) be the second derivative of -3*z**5/20 + z**4/4 + 2*z**3 - 6*z**2 - 32*z + 18. Factor y(d).
-3*(d - 2)*(d - 1)*(d + 2)
Let o(a) be the third derivative of -a**6/540 - a**5/270 + 6*a**2 - 179*a. Factor o(z).
-2*z**2*(z + 1)/9
Factor 32/3 - 1/9*x**2 - 4/9*x.
-(x - 8)*(x + 12)/9
Suppose 0 = 486*k - 483*k - 516. Factor 56829*f**2 - k*f - 56827*f**2 + 3485 + 213.
2*(f - 43)**2
Let d be 1788400/6312 - (2 - -1*(-4)/(-4)). Let 1/3*n + d*n**3 + 58/3*n**2 + 0 = 0. Calculate n.
-1/29, 0
Let i(r) be the second derivative of -r**6/180 + 11*r**5/120 + 3736*r. Factor i(x).
-x**3*(x - 11)/6
Let -1063951 - 2279435*o + 189151 - 9*o**3 - 528187*o + 186462*o - 667*o**2 + 10384*o**2 = 0. What is o?
-1/3, 540
Find w, given that 5*w**3 - 4*w**3 + 5*w**3 - 3*w**3 - 4*w**3 - 204*w**2 + 205*w = 0.
-205, 0, 1
Let x(j) be the second derivative of j**4/42 - 2316*j**3/7 + 12068676*j**2/7 - 333*j + 6. Determine n so that x(n) = 0.
3474
Let z(i) = -i. Let w be z(-2). Suppose w*m - 12 = -m. Find j, given that -2*j**4 - j**3 + 4*j**5 + 2*j**4 - 7*j**3 + m*j = 0.
-1, 0, 1
Let b(x) be the first derivative of 2*x**3/39 + 275*x**2/13 - 1108*x/13 + 1828. Solve b(r) = 0.
-277, 2
Suppose -10*w - 11*w = -84. Suppose -5*h - 20 - h**2 - 2*h - h - w*h = 0. Calculate h.
-10, -2
Solve 177*x**2 + 43*x**2 + 3770*x**3 + 4*x**4 - 23*x - 3826*x**3 + 16*x - 161*x = 0 for x.
0, 1, 6, 7
Let i(q) be the second derivative of 2*q**7/189 + 2*q**6/9 + 6*q**5/5 - 76*q**4/27 - 368*q**3/9 - 128*q**2 - 3422*q. Find h such that i(h) = 0.
-8, -6, -2, 3
Factor 3459*a - 3486*a**3 + 1308*a - 309*a**2 + 1164*a**3 + 1157*a**3 + 1162*a**3 - 17199.
-3*(a - 7)**2*(a + 117)
Let d(z) = -14*z**2 + 29*z + 10. Let i(a) = -120*a**2 + 260*a + 90. Let h(s) = -35*d(s) + 4*i(s). Determine t, given that h(t) = 0.
-2, -1/2
Suppose 12*g = 9 + 15. Let 11528 - 11496 + 4*k**3 - 3*k**g - 5*k**2 - 16*k = 0. Calculate k.
-2, 2
Solve 2864*x**2 - 6935*x**3 + 7139*x**3 - 622 - 7227 + 6144*x - 1367 + 4*x**4 = 0.
-24, -4, 1
Let u be -2 - 9 - (-76)/40*(-9 + 15). Find o such that -u*o**3 + 74/5 + 14*o**2 + 146/5*o = 0.
-1, 37
Let w(t) = 4*t**3 - 8*t**2 + 10*t - 4. Let u(g) = 9*g**3 - 15*g**2 + 19*g - 10. Let v = -14 - -16. Let f(b) = v*u(b) - 5*w(b). Determine n so that f(n) = 0.
0, 2, 3
Let m(s) be the third derivative of 1/315*s**7 + 0*s**4 + 289/10*s**5 - s + 0 + 0*s**3 - 17/30*s**6 + 3*s**2. Factor m(l).
2*l**2*(l - 51)**2/3
Let c(x) = -12*x**3 - x**2 + 4*x - 4. Let a be c(2). Let y be (a/28 - -3)*-1. Factor -12/7*t**4 + y - 3/7*t - 33/7*t**3 - 27/7*t**2.
-3*(t + 1)**3*(4*t - 1)/7
Let p = 106487/84 - 8871/7. Let a(u) be the second derivative of 0 + 1/40*u**5 + 1/6*u**4 - 19*u + 1/2*u**2 + p*u**3. Suppose a(i) = 0. Calculate i.
-2, -1
Let v(r) be the first derivative of -1/2*r**4 + 4/9*r**3 + 2/3*r**2 - 1/15*r**5 - r - 1 + 1/9*r**6. Factor v(k).
(k - 1)**3*(k + 1)*(2*k + 3)/3
Suppose -55*v + 67 = -96 - 167. Let y(h) be the second derivative of -1/60*h**v - 2*h - 1/84*h**7 + 0*h**3 + 1/24*h**4 + 1/40*h**5 + 0 + 0*h**2. Factor y(d).
-d**2*(d - 1)*(d + 1)**2/2
Let z(t) be the second derivative of t**4/6 + 316*t**3/3 - 1763*t. Factor z(m).
2*m*(m + 316)
Let h be ((-312)/(-1755))/((-36)/(-81)). Let v be -1 - (0 - (1 - 0)). Factor 2*w**2 + h*w + 8/5*w**3 + v.
2*w*(w + 1)*(4*w + 1)/5
Let p be (24 - (-10411)/(-493)) + (-4)/(-34). Let o(m) be the first derivative of -1/8*m**p + 15 - 3/4*m**2 + 15/8*m. Solve o(i) = 0.
-5, 1
Let w be (2 - 4) + (160/(-720) - (-67)/18). Find c such that -w*c**2 - c**3 + 9*c - 4 = 0.
-4, 1/2, 2
Let m(x) = 273*x - 9*x**2 - 9 + 5*x**3 - 4*x**3 - 279*x. Let b be m(10). Let b*g - 75 - g - g**2 - 2*g**2 = 0. What is g?
5
Let u(m) be the second derivative of m**6/300 + 4*m**5/25 + 311*m**4/120 + 217*m**3/15 + 147*m**2/5 + 101*m + 1. Factor u(g).
(g + 1)*(g + 3)*(g + 14)**2/10
Let n(x) be the first derivative of -40/3*x + 85 - 2/9*x**3 - 3*x**2. Factor n(c).
-2*(c + 4)*(c + 5)/3
Suppose 3*u - 2*n - 48370 = 0, 3*u + 3*n = 7*n + 48368. Suppose 2*c - 16109 = -3*v, 3*v - 3*c = -2*c + u. Determine o, given that -v + 5373 + 4*o**2 - 8*o = 0.
0, 2
Let r(m) = m**3 + m**2 + 2*m. Let u(n) = -182 + 182 + 40*n**3 + 24*n + 52*n**2. Let g(t) = -4*r(t) + u(t). Factor g(p).
4*p*(3*p + 2)**2
Let r be 6/(-2) + (-700)/(-180). Let b(v) be the first derivative of -2/27*v**3 - 2/9*v**2 - 13 + r*v + 1/36*v**4. Factor b(i).
(i - 2)**2*(i + 2)/9
Factor 571 - 171*h**3 - 385 + 3*h**4 - 9*h**2 + 519*h - 528.
3*(h - 57)*(h - 1)**2*(h + 2)
Let n be (3658/124 + -29)*0. Let -82/3*t + n + 1/3*t**2 = 0. Calculate t.
0, 82
Suppose -5*h - 15 = -5*o, 0*o + 18 = 5*o - 2*h. Factor z**5 - 6*z**3 + o*z**4 - z**5 + z**5 + 10*z**3.
z**3*(z + 2)**2
Let c(z) = -3*z**2 - 238*z - 4015. Let j be c(-55). Factor 5/2*t**3 + j - 15*t + 5/2*t**2.
5*t*(t - 2)*(t + 3)/2
Let l be 3*(-9 - 0)/(-3). Let t be l + -10 + 9/3. What is d in 14 + 12*d + 25*d**2 + 4 - 23*d**t = 0?
-3
Suppose 0 = -5*d + 10. Suppose d*h + 6*h = 24. Factor 39 + 12*s**2 - 15 + 2*s - h*s**2 - 44*s.
3*(s - 4)*(3*s - 2)
Solve -2/7*n**5 + 58/7*n**4 - 76*n**3 - 2304/7 + 1520/7*n**2 - 192/7*n = 0 for n.
-1, 2, 4, 12
Let z be (2/(-3))/2*(-60)/110. Let w be -83 + 85 - (0 - 0). Determine i so that 0 + 2/11*i + z*i**w = 0.
-1, 0
Factor 3*m**2 + 4*m + 4/3.
(3*m + 2)**2/3
Let a(j) be the second derivative of j**6/1080 - 7*j**5/180 + 49*j**4/72 + 27*j**3/2 + j + 28. Let z(u) be the second derivative of a(u). Factor z(h).
(h - 7)**2/3
Let i(h) = -91*h + 1005. Let z be i(11). Let p(d) be the second derivative of 14*d - 15*d**3 - 135/4*d**z - 5/2*d**2 + 0. Let p(m) = 0. What is m?
-1/9
Factor -1414/11*n**4 - 747650/11*n**2 + 2/11*n