ivative of 1/4*o**4 + 0*o + 0*o**3 - 1/2*o**2 + c. Factor s(d).
d*(d - 1)*(d + 1)
Let x be (-2688)/(-960) + 19/(-5) + (13 + -9)*1. Suppose 0 + 100/11*a**2 - 64/11*a + 58/11*a**x - 4/11*a**4 = 0. What is a?
-2, 0, 1/2, 16
Let i = -5939 - -5939. Let n(g) be the second derivative of 10/3*g**3 - 39*g - 1/3*g**4 - 12*g**2 + i. Suppose n(h) = 0. What is h?
2, 3
Let -986*t**3 - 1388/3*t**2 + 0 - 1253/3*t**4 - 49/3*t**5 - 184/3*t = 0. What is t?
-23, -2, -2/7, 0
Let r(j) = 370*j**3 - 2780*j**2 + 2435*j + 15. Let g(h) = -h**4 + 555*h**3 - 4171*h**2 + 3652*h + 21. Let x(v) = -5*g(v) + 7*r(v). Factor x(w).
5*w*(w - 27)*(w - 9)*(w - 1)
Suppose 9*h = 86 - 68. Suppose 5*q - 8 = -h*g, 0 = -2*q + g + 5. Suppose -2*u + 16/7 - 2/7*u**q = 0. Calculate u.
-8, 1
Let r(v) = -11*v**2 + 13*v + 57. Let f be r(-16). Let q be (-4)/9 + f/(-2484). Find h, given that 9/4*h - 9/4*h**3 - q + 3/2*h**4 - 3/4*h**2 = 0.
-1, 1/2, 1
Let i = -836991/182 - -64427/14. Factor -i*g + 0 + 2/13*g**2.
2*g*(g - 20)/13
Let a(i) be the second derivative of -1/2*i**3 + 3/4*i**4 + 35*i - 9/2*i**2 + 3/20*i**5 + 0. Factor a(r).
3*(r - 1)*(r + 1)*(r + 3)
Let r(u) be the second derivative of u**4/60 - 24*u**3/5 - 29*u**2/2 + 950*u. Solve r(z) = 0.
-1, 145
Suppose 0*x + 1/6*x**5 - 11/6*x**3 + 0 - 2/3*x**4 - x**2 = 0. Calculate x.
-1, 0, 6
Suppose o + 0*o + b = -25, 3*b = -3. Let u be 96/o + (-5)/(45/(-38)). Factor -u*y**2 + 2/9*y + 4/9.
-2*(y - 2)*(y + 1)/9
Let i(g) be the third derivative of -g**6/240 - 7*g**5/6 + 47*g**4/16 - 379*g**2 + g - 1. Factor i(y).
-y*(y - 1)*(y + 141)/2
Let h(b) be the first derivative of -2*b**5/25 + 4*b**4 + 84*b**3/5 + 128*b**2/5 + 86*b/5 + 956. Factor h(z).
-2*(z - 43)*(z + 1)**3/5
Let c(r) be the third derivative of r**6/120 - 7*r**5/12 + 67*r**4/24 - 11*r**3/2 + r**2 - 6*r. Let c(k) = 0. What is k?
1, 33
Let z be -2*(-7)/(14/(-4)). Let d be 312/76 + z - 318/(-228). Factor -d*h + 3/2*h**2 - 3/2 + 3/2*h**3.
3*(h - 1)*(h + 1)**2/2
Let n be 375/135 + 1*(-4)/(-18). Suppose 2*f + 4*w - 32 = 0, 46 = 3*f - 2*w + 14. Suppose 77*x**5 - n*x**3 - x - 65*x**5 + x - f*x**4 + 3*x**2 = 0. Calculate x.
-1/2, 0, 1/2, 1
Factor 0 + 1456/5*r**3 + 18*r + 1176/5*r**4 - 786/5*r**2.
2*r*(3*r + 5)*(14*r - 3)**2/5
Suppose 57 = -3*c + 63. Find l, given that -l**c + 154*l**3 - 79*l**3 - l**4 - 77*l**3 = 0.
-1, 0
Suppose 0 = 4*a - t - 13, 2*a + 2*t - 3*t - 5 = 0. What is f in -a*f - 7/2*f**2 + 1/2*f**3 + 0 = 0?
-1, 0, 8
Factor -760827*k**3 + 760828*k**3 + 20*k + 8303 + 1215*k + 61*k**2.
(k + 19)**2*(k + 23)
Find x, given that 0 - 1132/3*x - 287/3*x**3 + 1/3*x**4 + 1136/3*x**2 = 0.
0, 2, 283
Let o be (-2)/(-8)*(-260)/(-260). Let c(p) be the second derivative of -o*p**4 + 21*p + 0 - p**3 + 0*p**2. Factor c(i).
-3*i*(i + 2)
Let k(a) = 10*a**5 - 124*a**4 - 66*a**3 + 1090*a**2 - 1072*a - 342. Let b(f) = -f**5 - 3*f**3 + f**2 - 1. Let y(o) = 6*b(o) - k(o). Solve y(s) = 0 for s.
-3, -1/4, 2, 7
Let l(o) = -34*o**3 + 708*o**2 - 28701*o - 236995. Let z(x) = 58*x**3 - 1416*x**2 + 57403*x + 473989. Let s(a) = -5*l(a) - 3*z(a). Find n, given that s(n) = 0.
-7, 92
Let c be (-9*70/2295)/(7/1176*-4). Let 350/17*q - 28/17*q**4 + c - 92/17*q**3 - 2/17*q**5 + 88/17*q**2 = 0. What is q?
-7, -1, 2
Let o(c) = -c**3 - 26*c**2 - 261*c - 780. Let q be o(-5). Let 44/3*u**2 + 4*u + q + 64/9*u**4 + 160/9*u**3 = 0. What is u?
-1, -3/4, 0
Factor -2/11*i**5 - 4/11*i**2 - 4/11*i**3 + 6/11*i**4 - 2/11 + 6/11*i.
-2*(i - 1)**4*(i + 1)/11
Let u(m) be the first derivative of -m**3/9 + 385*m**2 - 444675*m + 2677. Factor u(y).
-(y - 1155)**2/3
Let y(a) be the first derivative of -18605*a**3/3 + 5*a**2 - 6860. Solve y(o) = 0 for o.
0, 2/3721
Let s(j) = 3*j + 11. Let y(a) = -2*a**2 - 542*a - 508. Let n(q) = 4*s(q) - y(q). Factor n(z).
2*(z + 1)*(z + 276)
Let k(t) be the second derivative of -5*t**4/12 - 3725*t**3/3 - 2775125*t**2/2 + 2*t - 166. Solve k(c) = 0 for c.
-745
Let c(w) be the first derivative of -1/8*w**4 + 19/4*w**2 - 5*w + 34 - 4/3*w**3. Determine h so that c(h) = 0.
-10, 1
Let f = -206411 + 412825/2. What is t in 8/3*t**2 - 1/3 + f*t**3 + 5/6*t = 0?
-1, 2/9
Suppose 2*h = k + 2, -2*h - 1 + 3 = 4*k. Let i be h - -25 - (-3 + 8 + -4). Factor 11*b**4 + 30*b**2 + 22*b**3 + 18*b - 21 - 5*b**4 + i.
2*(b + 1)**3*(3*b + 2)
Let b(z) be the second derivative of z**4/36 - z**3/6 - 5*z**2/3 + 528*z. Find h such that b(h) = 0.
-2, 5
Suppose 2 = -3*i - 0*i + 4*i. Let a(t) be the second derivative of 8/5*t**i + 26*t + 1/15*t**4 - 2/3*t**3 + 0. What is h in a(h) = 0?
1, 4
Let v(t) be the first derivative of -8*t + 195 - 1/4*t**4 - 5/2*t**3 + 8*t**2 + 1/10*t**5. Determine p so that v(p) = 0.
-4, 1, 4
Let v(b) = b**3 - 16*b**2 - 5*b + 77. Let w be v(16). Let q be (146/35 - 15/25) + w. Factor -16/7 + 10/7*r**2 - q*r - 2/7*r**3.
-2*(r - 4)*(r - 2)*(r + 1)/7
Suppose 40 = 4*r - 4*g, 0*r + 5*r + 5*g = 10. Let z = r + -3. Suppose -11 + 13*i + 27 + 7*i + 8*i**2 + i**z = 0. Calculate i.
-4, -2
Let d(k) be the third derivative of -2/105*k**7 - 32/3*k**4 + 0*k**3 + 0 + 43*k**2 + 0*k - 16/5*k**5 + 1/2*k**6. Suppose d(t) = 0. What is t?
-1, 0, 8
Suppose 3*u - 27 = j, 5*j - 65 = u - 270. Let h = -40 - j. Factor 208*d**2 + 9*d + 9 - 205*d**h - 3.
3*(d + 1)*(d + 2)
Let t(b) be the first derivative of -b**6/540 + b**5/90 + 2*b**4/9 - 106*b**3/3 + 60. Let f(r) be the third derivative of t(r). Factor f(p).
-2*(p - 4)*(p + 2)/3
Let b(s) be the second derivative of 12 + 24*s**2 + s + 0*s**3 - 1/4*s**4. Suppose b(u) = 0. What is u?
-4, 4
Let h be ((-38)/(-247))/(60/65). Let w(a) be the first derivative of 0*a**2 - 1/16*a**4 - 9 + 0*a - 1/4*a**5 + 0*a**3 - h*a**6. Let w(l) = 0. Calculate l.
-1, -1/4, 0
Let r(s) = 70*s**3 + 4100*s**2 + 45625*s - 336130. Let w(b) = -5*b**3 - 293*b**2 - 3259*b + 24009. Let u(h) = -4*r(h) - 55*w(h). Factor u(i).
-5*(i - 5)*(i + 31)**2
Let a be (-187502)/210 + (-146)/(-30) + -5. Let f = a - -2681/3. Suppose 44/3*i - f*i**2 - 242/3 = 0. What is i?
11
Suppose -5*r - 258 = -5*n - 7*r, 0 = 4*n - 5*r - 180. Let j be n/30*(-84)/(-35). Factor -4/5*c**3 + 0*c**2 + 0*c + 0 - 2/5*c**j.
-2*c**3*(c + 2)/5
Let i(b) = -7*b**3 + 9*b**2 + 10*b + 4. Let f(g) = 4 - 3298*g**3 - g + 3296*g**3 - 3. Let z(n) = -4*f(n) + i(n). Factor z(o).
o*(o + 2)*(o + 7)
Let w(p) be the second derivative of -p**4/66 - 148*p**3/11 + 1341*p**2/11 + 6778*p. Find z such that w(z) = 0.
-447, 3
Let x(l) be the second derivative of -l**6/45 + 64*l**5/15 + 73*l**4/2 + 1060*l**3/9 + 532*l**2/3 + 4206*l - 1. What is m in x(m) = 0?
-2, -1, 133
Let q = -758/1551 + 86/141. Let t(i) be the third derivative of 1/110*i**5 + 0*i**4 + 0*i + 1/660*i**6 + 0 - q*i**3 - 39*i**2. Suppose t(u) = 0. What is u?
-2, 1
Let r be (27/334)/(15/72). Let i = r - -2/167. Factor -i + l**2 + 3/5*l.
(l + 1)*(5*l - 2)/5
Suppose 32*t**2 + 4*t**2 + 2568*t - 1648656 - t**2 - 36*t**2 = 0. What is t?
1284
Suppose 18/5*h**5 + 31/5*h**2 + 54/5*h**3 - 13*h**4 - 54/5*h + 16/5 = 0. Calculate h.
-8/9, 1/2, 1, 2
Let y(a) be the third derivative of 0*a - 2/15*a**7 - 1/84*a**8 - 2/15*a**5 + 0 - 76*a**2 + 6*a**3 - 7/15*a**6 + 5/2*a**4. Solve y(i) = 0 for i.
-3, -1, 1
Let t(a) be the second derivative of -a**6/6 + 35*a**5/4 - 415*a**4/4 - 5035*a**3/6 - 1805*a**2 - 1491*a + 1. Determine y, given that t(y) = 0.
-2, -1, 19
Suppose 233 = -5*p + 253. Suppose 16*q + 41*q**3 - 39*q**3 - 22*q - p = 0. Calculate q.
-1, 2
Let k(g) be the first derivative of -g**4/7 + 160*g**3/21 - 394*g**2/7 - 136*g - 1202. Determine u so that k(u) = 0.
-1, 7, 34
Let b = 7/26324 - -105275/78972. Factor -68/3*q + 32/3*q**2 + 40/3 - b*q**3.
-4*(q - 5)*(q - 2)*(q - 1)/3
Let c = 38 + 40. Factor -48*d + 75*d**3 - 3*d**4 - 141*d**3 + 48 + c*d**3.
-3*(d - 2)**3*(d + 2)
Suppose 1071*k**4 - 779*k + 665*k**3 - 362*k**4 - 363*k**4 - 361*k**4 + 25270 - 8955*k**2 + 32414*k = 0. What is k?
-2/3, 7, 19
Let p be (10 + -11)/(0 - (-16 + -3)). Let l = 23/76 + p. What is q in -1/2*q + 1/4*q**4 - 3/4*q**5 + 5/4*q**3 + 0 - l*q**2 = 0?
-1, -2/3, 0, 1
Let c(l) be the third derivative of -7/24*l**6 - 83*l + 45/4*l**5 + 30*l**3 + l**2 + 0 - 205/6*l**4. Suppose c(d) = 0. What is d?
2/7, 1, 18
Suppose -39*m + 429 = -312. Let j(u) be the second derivative of 1/2*u**6 + 0 - 20/3*u**3 - 65/12*u**4 + 10*u**2 + 1/2*u**5 + m*u. Let j(f) = 0. Calculate f.
-2, -1, 1/3, 2
Let o(x)