7, 1, 2
Let p(w) be the first derivative of w**3/15 + 43*w**2/20 - 9*w/2 - 10429. Determine b, given that p(b) = 0.
-45/2, 1
Let n(j) be the first derivative of j**5/25 + 151*j**4/20 - 154*j**3/15 - 152*j**2/5 + 2250. Factor n(s).
s*(s - 2)*(s + 1)*(s + 152)/5
Let f(w) be the second derivative of w**6/360 - w**5/180 - w**4/36 - 15*w**2/2 - 14*w - 2. Let t(b) be the first derivative of f(b). Factor t(m).
m*(m - 2)*(m + 1)/3
Suppose 81/5 - 162/5*d**2 + 0*d + 96/5*d**3 - 3*d**4 = 0. What is d?
-3/5, 1, 3
Let u(p) = 7*p**2 + 27*p + 8. Let w = 311 - 307. Let n(y) = -33*y**2 - 135*y - 39. Let h(j) = w*n(j) + 21*u(j). Let h(o) = 0. What is o?
-1, -4/5
Let x be (4/11)/(-1) - 1722/(-9471)*74/4. Solve q**2 + 0 + 1/4*q**x + 3/4*q = 0 for q.
-3, -1, 0
Let q(i) be the second derivative of i**5/5 - 178*i**4/3 + 5510*i**3 - 60552*i**2 - 7786*i. Factor q(j).
4*(j - 87)**2*(j - 4)
Suppose -2*n = -11*n + 81. Suppose -w - n = 3*o, -12*o + 11*o = 3*w - 5. Suppose -7/4*i**2 - 1/4*i**w - 9/4 - 15/4*i = 0. What is i?
-3, -1
Let u be (-125 - -5)*2/(-3). Determine p so that -12 - 34 - 41*p**2 - u*p**3 + 35*p**4 - 5*p**5 + 80*p + 81*p**2 - 34 = 0.
-1, 2
Suppose -4/7*c**3 - 4/7*c + 29/7*c**2 - 3 = 0. Calculate c.
-3/4, 1, 7
Factor 8 - 8/9*v**2 - 2*v + 2/9*v**3.
2*(v - 4)*(v - 3)*(v + 3)/9
Let l = -2604163/4 - -651042. Let l*y**3 + 5/4*y**2 - 5/4*y + 1/4*y**4 - 3/2 = 0. What is y?
-3, -2, -1, 1
Let t(u) be the first derivative of -u**4/8 + 4*u**3/3 - 5*u**2 + 8*u - 715. Determine q, given that t(q) = 0.
2, 4
Let a(b) = b**2 - 231*b - 696. Let v(g) = -g**2 + 232*g + 698. Let h(c) = 7*a(c) + 6*v(c). Determine u so that h(u) = 0.
-3, 228
Let d(c) be the first derivative of c**6/540 + 11*c**5/180 + 5*c**4/18 + 6*c**3 + 37. Let j(i) be the third derivative of d(i). Suppose j(n) = 0. Calculate n.
-10, -1
Suppose -6 = 6*w, 5*y = 25*w - 23*w + 47. Let s(l) be the first derivative of 2/21*l**3 + y + 128/7*l - 16/7*l**2. What is c in s(c) = 0?
8
Factor 0*v**3 + 2/3*v**4 + 0*v**2 + 0*v + 1/3*v**5 + 0.
v**4*(v + 2)/3
Let s(m) be the third derivative of -m**8/1176 + 4*m**7/245 - 23*m**6/210 + 2*m**5/7 - 25*m**4/84 + 2*m**2 - 517. Determine t, given that s(t) = 0.
0, 1, 5
Let z(y) be the third derivative of -y**5/75 + 289*y**4 - 2505630*y**3 + 1009*y**2. Determine p, given that z(p) = 0.
4335
Let z be (-13 + -141*32/144)*2/(-14). Factor 1/3*q**5 + 176/3*q + 64/3 + z*q**3 - 13/3*q**4 + 145/3*q**2.
(q - 8)**2*(q + 1)**3/3
Let q(k) be the first derivative of -2*k**5/55 + 10*k**4/11 - 34*k**3/11 - 4*k**2/11 + 136*k/11 - 415. Suppose q(t) = 0. Calculate t.
-1, 2, 17
Let k(l) be the third derivative of l**7/21 - 17*l**6/15 + 33*l**5/10 - 3*l**4 - 1009*l**2. Factor k(p).
2*p*(p - 12)*(p - 1)*(5*p - 3)
Factor -2076/13*t + 2/13*t**2 + 4144/13.
2*(t - 1036)*(t - 2)/13
Let h = -1/281 - -299/5058. Let g(a) be the second derivative of 8*a + 0 + 1/72*a**4 - h*a**3 + 1/12*a**2. Factor g(b).
(b - 1)**2/6
Let t(y) = 4*y - 8 - 10 - 40 + 8. Let l be t(13). Factor -1/4*n**l - 3/4*n - 1/2.
-(n + 1)*(n + 2)/4
Let w be 6/(-4)*(-16)/(-36)*-3. Determine a, given that -a**2 - 67 + 67 - w*a - a**2 - 6*a = 0.
-4, 0
Let o = 1572/1649 - 24/97. Suppose 0 = -3*a - 12, -3*g = 65*a - 70*a - 29. Solve 2/17*r**g + 2/17*r**4 - o*r**2 + 0 + 0*r = 0 for r.
-3, 0, 2
Let j(k) = -k**3 - 10*k**2 - 3*k - 19. Let a be j(-10). Let s(z) = -z**3 + 9*z**2 + 25*z - 12. Let y be s(a). Factor -d**2 + y - 15 + d + 0*d.
-(d - 3)*(d + 2)
Let c(p) be the second derivative of p**4/20 + 113*p**3/10 + 99*p**2 - 2*p + 3205. Factor c(y).
3*(y + 3)*(y + 110)/5
Let i be ((-108)/216)/(-1*((-6)/8 - -1)). Let s(u) be the third derivative of 1/60*u**5 + 0*u + 0 - 1/3*u**4 + 8/3*u**3 + i*u**2. Factor s(x).
(x - 4)**2
Let z(a) be the third derivative of -a**9/2352 - a**8/980 - a**7/1960 - 71*a**3/3 + 10*a**2 - a. Let y(i) be the first derivative of z(i). Solve y(p) = 0.
-1, -1/3, 0
Suppose -3*p = 4*b - 61, -5*b + 4*p + 82 = 2*p. Solve 34*o + 9*o**2 + 12 + 17*o**2 - b*o**2 + 12*o**2 = 0 for o.
-1, -6/11
Let z = 1434339 - 1434337. Suppose z + 1/5*i**2 + 7/5*i = 0. What is i?
-5, -2
Suppose 3*t = 4*t - 15. Let l = -13 + t. Suppose 11*q**2 + 8*q + 4 - 21*q**l + 14*q**2 = 0. What is q?
-1
Let a = 122149 + -122146. Determine y, given that 135/4*y**2 + 5/4 - 55/4*y + 55/4*y**a - 35*y**4 = 0.
-1, 1/7, 1/4, 1
Let t(d) = 4*d**3 - 211*d**2 - 206*d + 18. Let r(x) = 3*x**3 - 212*x**2 - 207*x + 16. Let c(l) = -9*r(l) + 8*t(l). Determine u, given that c(u) = 0.
-43, -1, 0
Let k(h) = 8*h + 90. Let r be k(-11). Solve -w**5 - 3*w**4 + 340*w - r*w**5 + 385*w**3 - 2*w**5 + 63*w**4 + 660*w**2 = 0.
-2, -1, 0, 17
Let r(u) be the second derivative of 0 - 1/15*u**5 - 11*u - 4/3*u**3 + 11/2*u**2 + 1/2*u**4. Let p(o) be the first derivative of r(o). Let p(y) = 0. What is y?
1, 2
Solve 7/10*p**3 + 1306/5*p + 436/5 - 769/5*p**2 = 0.
-2/7, 2, 218
Let c(v) be the second derivative of 0*v**2 + 6 - 1/8*v**3 - 3*v + 1/48*v**4. Solve c(f) = 0.
0, 3
Let s(j) be the second derivative of -3*j**5/140 + 53*j**4/28 - 44*j**3 - 504*j**2 + 371*j + 4. Factor s(o).
-3*(o - 28)**2*(o + 3)/7
Let s be ((-57)/(-114))/((-1)/(-6)). Let n(d) be the first derivative of 2/5*d**5 - 2/7*d**2 + 0*d + 3/14*d**4 + 1/7*d**6 - 27 - 2/7*d**s. Solve n(k) = 0 for k.
-1, 0, 2/3
Factor -7816/5*t + 2/5*t**2 + 7636232/5.
2*(t - 1954)**2/5
Let w be (65/(-30) - -5 - (-15)/(-18))*(16 - 15). Suppose 96/7*s + 2/7*s**3 + 26/7*s**w + 72/7 = 0. What is s?
-6, -1
Factor -13665992/9 - 2/9*f**2 + 10456/9*f.
-2*(f - 2614)**2/9
Let g(k) be the second derivative of -k**4/96 + 347*k**3/48 + 349*k**2/8 - 1071*k - 2. Factor g(f).
-(f - 349)*(f + 2)/8
Let u = -306886 + 306888. Factor 1/3*w**3 + 0 - 7/3*w**u + 0*w.
w**2*(w - 7)/3
Let j(o) be the second derivative of 3/35*o**5 + 0*o**6 + 0*o**2 + 30 + 4/21*o**4 - o + 1/7*o**3 - 1/147*o**7. Factor j(n).
-2*n*(n - 3)*(n + 1)**3/7
Let h(m) be the second derivative of -5*m**4/12 + 45*m**3 + 900*m**2 + 830*m - 3. Solve h(p) = 0.
-6, 60
Let x(t) be the third derivative of 1/420*t**6 - 1/30*t**5 + 0 + 0*t - 5/21*t**3 + 11/84*t**4 + 30*t**2. Factor x(l).
2*(l - 5)*(l - 1)**2/7
Let -700*z - 2405 + 779 - 16 + 227 + 4*z**2 - 1 = 0. Calculate z.
-2, 177
Suppose 5*i = 3*c - 145, -3*i - 56 = -4*c + 119. Let x be (-18)/c*(5 - 21). Solve -6*j + x*j**2 + 9/5 + 3/5*j**4 - 18/5*j**3 = 0.
1, 3
Let q(i) be the second derivative of -2*i**6/15 - 1806*i**5/5 - 813601*i**4/3 + 1088416*i**3 - 1634432*i**2 + 33*i - 34. Let q(l) = 0. Calculate l.
-904, 1
Let c = -15712 + 15727. Factor -6*i**4 + c*i**2 + 6*i - 3/2*i**5 - 3/2*i**3 - 12.
-3*(i - 1)**2*(i + 2)**3/2
Let k(b) be the second derivative of -1/12*b**3 - 4*b + 0*b**2 + 1/60*b**6 - 1/24*b**4 + 2 + 1/40*b**5. Factor k(q).
q*(q - 1)*(q + 1)**2/2
Let o(v) be the second derivative of 1/6*v**6 + 5/6*v**3 + 0*v**2 - 1/4*v**5 - 2 - 10*v - 5/12*v**4. Suppose o(g) = 0. What is g?
-1, 0, 1
Let y(f) be the second derivative of f**5/210 - f**4/6 + 8*f**3/7 + 225*f**2/2 + 2*f - 62. Let n(c) be the first derivative of y(c). Factor n(b).
2*(b - 12)*(b - 2)/7
Suppose 13 = 23*b - 10981. What is r in 56*r - 422 - 145*r - r**2 - b + 29*r = 0?
-30
Let w = 1600/917 + -4/131. Let p be (91/26 + -2)*((-18)/(-14) + -1). Determine c, given that 12/7 - 3/7*c**3 - w*c**2 + p*c = 0.
-4, -1, 1
Let n(s) be the second derivative of s**6/40 + 1251*s**5/40 + 57963*s**4/4 + 2685619*s**3 - 1020*s. Factor n(z).
3*z*(z + 278)**3/4
Factor 0 - 1/3*m**3 + 403/3*m + 6*m**2.
-m*(m - 31)*(m + 13)/3
Let p(j) = -j**3 - j**2 - 4*j + 6. Let b be p(0). Suppose 18 = 6*u - b. Solve 0*q**2 - 2/5*q**3 + 3/5*q**u - 1/5*q**5 + 0*q + 0 = 0 for q.
0, 1, 2
Let n(d) be the second derivative of 121*d**6/180 + 55*d**5/4 + 5317*d**4/72 - 175*d**3/3 + 49*d**2/3 - 272*d + 2. Factor n(i).
(i + 7)**2*(11*i - 2)**2/6
Let d(k) be the second derivative of -9/8*k**5 + 0*k**2 + 2/5*k**6 - 1/28*k**7 + 9*k + 1 + 0*k**3 + 0*k**4. Factor d(t).
-3*t**3*(t - 5)*(t - 3)/2
Let p = -644 + 1183. Let o = p + -536. Factor -252/13*x**o + 0 + 98/13*x**4 + 120/13*x**2 - 16/13*x.
2*x*(x - 2)*(7*x - 2)**2/13
Let p = -1376 + 1378. Let c = -9/14 - -25/28. Factor -3/8*t**p + c*t - 5/8*t**3 + 0.
-t*(t + 1)*(5*t - 2)/8
Suppose -35*g - 20 = -45*g. Let h(z) be the first derivative of -1/15*z**3 + 0*z + g - 2/5*z**2. What is y in h(y) = 0?
-4, 0
Solv