d) = 0.
0, 15
Let p be 476/(-11781)*144/(-32). Determine k so that 24/11 + p*k**3 + 6/11*k**2 - 32/11*k = 0.
-6, 1, 2
Find d such that -62906045 - 5*d**2 + 47434*d + 0*d**2 - 82904*d = 0.
-3547
Let n(j) be the second derivative of 15*j**5/8 + 225*j**4/2 - j**3 - 108*j**2 - 33*j - 63. Find m, given that n(m) = 0.
-36, -2/5, 2/5
Let d(z) be the second derivative of 0*z**3 + 10*z + 1/8*z**4 + 1/60*z**5 + 0 + 20*z**2. Let j(b) be the first derivative of d(b). Factor j(t).
t*(t + 3)
Let a be 2/4*(8 - 13 - 1). Let r(y) = 2*y**2 + 13*y - 40. Let s(n) = 4*n**2 + 25*n - 80. Let h(c) = a*s(c) + 7*r(c). Let h(w) = 0. What is w?
-10, 2
Let l(q) be the first derivative of -2*q**4/9 - 50*q**3/27 - 38*q**2/9 - 16*q/9 + 1427. Factor l(r).
-2*(r + 2)*(r + 4)*(4*r + 1)/9
Let x be (1/(-4))/(374/(-120224)*13). Solve -2/11*p**2 + x*p - 578/11 = 0 for p.
17
Let w(q) be the third derivative of -25/12*q**6 + 0*q - 5/3*q**3 - 10/3*q**5 - 2*q**2 - 25/8*q**4 - 5/7*q**7 - 5/48*q**8 - 1. Factor w(l).
-5*(l + 1)**4*(7*l + 2)
Let r(j) be the first derivative of 1/9*j**3 - 1/2*j**2 - 57 + 2/3*j. Let r(t) = 0. What is t?
1, 2
Let c(k) be the second derivative of -k**7/42 + 391*k**6/30 - 969*k**5/10 + 773*k**4/3 - 772*k**3/3 - 1620*k. Determine t so that c(t) = 0.
0, 1, 2, 386
Suppose 24 = 5*l + 9. Suppose 6 = 5*g + 4*v, -5 = -g + 5*v + 2. Let 18*o - 16 + o**l + 4*o - 8*o**g - o - o = 0. Calculate o.
2, 4
Factor 43*h**2 - 4*h**4 - 559*h**2 - 76*h**3 + 1375*h - 2835*h - 1400.
-4*(h + 2)*(h + 5)**2*(h + 7)
Let k(i) be the second derivative of -72*i + 26/5*i**6 + 134/5*i**5 - 54*i**2 + 8/21*i**7 + 0 + 36*i**3 + 60*i**4. Let k(n) = 0. What is n?
-3, -1, 1/4
Let c = -930 + 320. Let i = 614 + c. What is x in -4/7 - 2/7*x**3 - 6/7*x**2 + 10/7*x + 2/7*x**i = 0?
-2, 1
Let k(c) be the second derivative of -11/26*c**4 - 16/13*c**2 + 99*c + 0 + 1/13*c**5 + 40/39*c**3 - 1/195*c**6. Let k(v) = 0. Calculate v.
1, 4
Let o = 42865 - 42862. Factor 1/6*p**5 - 1/2*p**4 + 0 + 1/2*p**2 + 0*p - 1/6*p**o.
p**2*(p - 3)*(p - 1)*(p + 1)/6
Let s(w) be the first derivative of -6/7*w**2 - 1/21*w**6 + 2/21*w**3 + 44 + 1/2*w**4 - 2/35*w**5 + 0*w. Find h, given that s(h) = 0.
-3, -1, 0, 1, 2
Let i(p) be the first derivative of -9*p**3 + 0*p - 33/5*p**5 + 3/2*p**6 + 45/4*p**4 + 3*p**2 - 63. Factor i(v).
3*v*(v - 1)**3*(3*v - 2)
Let a(z) = -2*z**2 + 15*z - 3. Let g be a(5). Factor 8*p**2 + 11*p**2 - g*p**2.
-3*p**2
Let -68*r**2 - 29 - 4*r**3 + 24*r**2 + 16*r + 205 = 0. What is r?
-11, -2, 2
Let z = 1530/7 + -218. Let m = -60009/7 - -8573. Find q such that -z + 2/7*q + m*q**2 = 0.
-2, 1
Let u(h) be the first derivative of h**6/2 - 24*h**5 + 111*h**4 - 144*h**3 + 229. Factor u(d).
3*d**2*(d - 36)*(d - 2)**2
Let h = -141463/15 - -9431. Let f(c) be the first derivative of 0*c - h*c**5 + 26 + 1/2*c**4 - 2/3*c**3 + 1/3*c**2. Factor f(m).
-2*m*(m - 1)**3/3
Let n be -5 + (-234350)/(-45885) + (-4)/38. Let d = 1453/1932 - n. Factor 1/2 + d*y**2 - 5/4*y.
(y - 1)*(3*y - 2)/4
Determine w, given that 0 - 39/4*w**3 - 2197*w - 507/2*w**2 - 1/8*w**4 = 0.
-26, 0
Let v = -10741 - -10743. Let o(i) be the second derivative of -31*i + 0*i**2 - v*i**3 + 3/20*i**5 - 3/4*i**4 + 0. Solve o(t) = 0 for t.
-1, 0, 4
Let b(i) be the first derivative of -10*i**5/3 - 6995*i**4/24 + 2473*i**3/6 - 638*i**2/3 + 142*i/3 + 2654. Suppose b(f) = 0. Calculate f.
-71, 1/4, 2/5
Let m = 6294 + -6278. Let x(y) be the first derivative of -5*y**4 + 0*y**2 - 2/3*y**6 + 0*y - 16/5*y**5 - 8/3*y**3 + m. Factor x(v).
-4*v**2*(v + 1)**2*(v + 2)
Let s(c) be the third derivative of -c**7/7980 - 2*c**6/285 - 12*c**5/95 - 35*c**3/2 - 5*c**2 - 1. Let o(k) be the first derivative of s(k). Factor o(a).
-2*a*(a + 12)**2/19
Let q be 45 - (-27 - 17496/(-270)). Factor q*y + 0 - 2/5*y**2.
-2*y*(y - 18)/5
Suppose d = -26539*n + 26542*n + 42, 7*n = 4*n - 39. Factor 0 + 6/5*y + 2/5*y**d - 8/5*y**2.
2*y*(y - 3)*(y - 1)/5
Suppose -24 = -5*d + 2*d + 3*y, -2*y + 10 = 0. Suppose -a = d - 39. Solve -15*i + 21*i**2 - a*i**2 - 4 + 7*i - i**3 = 0.
-2, -1
Let t be 8 - (5 + 6 + -13). Suppose -5*u + b + 17 = 0, 3*u - 2*b - 3 = t. Factor -1/6*q + 1/6*q**u + 1/2*q**2 - 1/2.
(q - 1)*(q + 1)*(q + 3)/6
Suppose 3*d = -9, -p = -0*p + d - 367. Let w be 9 - (p/30 + -5). Factor w*h + 2 + 1/3*h**2.
(h + 2)*(h + 3)/3
Let v(b) = 5*b**2 - b. Let j(t) = 19*t**2 - 7*t + 6. Let h(k) = -k**2 + k - 1. Let n(w) = -6*h(w) - j(w). Let i(s) = -2*n(s) - 5*v(s). Factor i(x).
x*(x + 3)
Suppose o + 20 = 3*o. Suppose 4*c + 4*n = 60, -9*c - 4*n - 51 = -186. Factor -4 + 0 + o*f**2 + 9*f - c*f.
2*(f - 1)*(5*f + 2)
Suppose -57 = 4*b - 93. Suppose 0 = 4*a - b - 3. Let 3*w**a - w - 3*w + 10*w**4 - 11*w**4 = 0. Calculate w.
-1, 0, 2
Let y(g) = -3*g**2 - 300*g - 313. Let c(v) = -4*v**2 - 297*v - 313. Let z(s) = -4*c(s) + 5*y(s). Let z(h) = 0. What is h?
-1, 313
Let f = 558 + -290. Let n = f + -1338/5. Let -n*q**3 + 2/5*q + 0 + 4/5*q**2 - 4/5*q**4 = 0. Calculate q.
-1, -1/2, 0, 1
Let b(c) = 16*c**2 - 39*c - 55. Let u(h) = 16*h**2 - 38*h - 56. Let q(t) = 4*b(t) - 5*u(t). Let v(p) = p**2. Let k(d) = -2*q(d) - 36*v(d). Solve k(y) = 0.
-15, -2
Let p(s) be the second derivative of -2*s + 0*s**3 + 0*s**2 + 2/3*s**4 + 1/21*s**7 + 0*s**5 - 1/5*s**6 - 113. Factor p(b).
2*b**2*(b - 2)**2*(b + 1)
Suppose -7 - 7 = -7*s. What is x in x**3 - 3*x**2 - x**2 + 4*x**2 + 16*x**s = 0?
-16, 0
Let n(h) = 4*h**2 - 18*h + 91. Let i(w) = 3*w**2 - 13*w + 59. Let y(b) = -7*i(b) + 5*n(b). Factor y(c).
-(c - 7)*(c + 6)
Let p(t) = 2*t**2 + 22*t + 5*t - 25*t + 5. Let k(u) = 4*u**2 + 3*u + 8. Let v(q) = -3*k(q) + 5*p(q). Factor v(n).
-(n - 1)*(2*n + 1)
Factor -31*r - 24*r - 5*r**2 - 7400 + 7800.
-5*(r - 5)*(r + 16)
Factor 29*n**2 + 6*n + 34*n - 97*n**4 + 140*n**3 + 56*n**4 - 179*n**3 + 12*n**2 - n**5.
-n*(n - 1)*(n + 1)**2*(n + 40)
Let h = 1184231/2 - 592115. Factor -4/3 - h*q**2 - 2/3*q**3 + 7/3*q + 1/6*q**4.
(q - 4)*(q - 1)**2*(q + 2)/6
Factor -72412707/8 - 751689/8*j - 3/8*j**3 - 2601/8*j**2.
-3*(j + 289)**3/8
Let m(h) be the third derivative of -1/35*h**6 + 0 - 3/7*h**4 + 1/490*h**7 + 9/14*h**3 + 11/70*h**5 - 4*h**2 + 0*h. Let m(g) = 0. What is g?
1, 3
Let b = 2008 + -22109/11. Let i = 75/22 + b. Factor -1/2*c + 3/2 - i*c**2 + 1/2*c**3.
(c - 3)*(c - 1)*(c + 1)/2
Let b(h) = -56*h + 4036. Let x be b(72). Suppose -5*s = 2*n - 2113, -428 = -3*s + 2*s + 5*n. Factor -50*g**3 + 384*g**2 - 1024*g + 601 - 14*g**3 + x*g**4 + s.
4*(g - 4)**4
Let i be (-1 + 2)/((-396)/(-45) + -9). Let k be 31/(-5)*-2 + i - -1. Let 0*o + 18/5*o**3 + 24/5 - k*o**2 = 0. What is o?
-2/3, 1, 2
Let r(m) be the first derivative of 3*m**5/10 + 117*m**4/2 - 157*m**3/2 + 4652. Factor r(j).
3*j**2*(j - 1)*(j + 157)/2
Let t(b) = -5*b**4 - 302*b**3 - 1109*b**2 - 1372*b - 544. Let i(k) = k**4 + 6*k**3 + 2*k**2 - 1. Let r(n) = 4*i(n) + t(n). Factor r(o).
-(o + 1)**2*(o + 2)*(o + 274)
Let y(j) = 5373*j + 284937. Let t be y(-53). Determine h, given that 1/5*h**4 + 441/5 + 358/5*h**2 - t*h + 8*h**3 = 0.
-21, 1
Let v = -27806/247 + 1484/13. Let n = v + -112/95. Factor 0 + n*q - 8/5*q**2.
-2*q*(4*q - 1)/5
Let p(r) be the first derivative of r**3 + 21*r**2/2 - 24*r - 436. Factor p(w).
3*(w - 1)*(w + 8)
Let m be (-4 - (-56)/(-21))*(-30)/100. Let z(y) be the first derivative of 5/9*y**m - 4/3*y + 39 - 2/27*y**3. Factor z(b).
-2*(b - 3)*(b - 2)/9
Let o be 4/6 + 49/21. Suppose 5*f - o - 7 = 0. Determine y, given that 7*y**f - 2*y**4 + 280*y - 276*y - y**2 = 0.
-1, 0, 2
Let y = 214 + -211. Suppose y = -t + 5*m, 11*t - 15*t + 13 = 5*m. Solve 0*x + 1/3*x**t + 0 = 0.
0
Let q(n) = 133 + 0*n**2 - 12 - 3*n**2 + 4*n**2 - 28*n. Let k(g) = g. Let c(f) = 6*k(f) + q(f). Factor c(b).
(b - 11)**2
Let n(s) = 2*s - 3*s**3 + 8*s**3 - 2*s**5 - 4*s**3 - s. Let o(p) = -7*p**5 + p**4 + 5*p**3 - 2*p**2 + 2*p + 1. Let v(g) = -3*n(g) + o(g). What is y in v(y) = 0?
-1, 1
Let g(i) = 9*i**3 - i**2 - i + 1. Let a be g(1). Suppose a*j + 3 = 43. Determine k, given that j*k**3 - k**2 - 3*k**2 - 4 + k + 11*k**2 - 9*k = 0.
-2, -2/5, 1
Let o(i) be the third derivative of -1/12*i**5 + 0 + 0*i**3 + 5/12*i**4 - 128*i**2 + 0*i. Solve o(u) = 0 for u.
0, 2
Let z = 30/6679 + 6469/46753. Let u be (-48)/(-21) - 1*2. Suppose -z - 2/7*p**3 + 0*p**2 + u*p + 1/7*p**4 = 0. What is p?
-1, 1
Let k(v) = -v**3 - 2*v**2 + 4*v - 5. Let y be k(-4). Let w 