 - 5*z(m). Suppose j(q) = 0. Calculate q.
0, 2
Let z(a) be the third derivative of a**6/480 + 313*a**5/240 + 8517*a**4/32 + 54621*a**3/8 + a**2 + 9*a - 3. Suppose z(r) = 0. Calculate r.
-153, -7
Suppose 20 = 5*c + 3*u, -70 + 86 = 4*c + 4*u. Suppose -6 = 2*a - c*p + 2, 8 = 4*p. Find y, given that 0 + y**2 + 1/4*y**5 - y**3 - 1/4*y**4 + a*y = 0.
-2, 0, 1, 2
Let z(s) = 4*s**3 + 4*s**2 - 11*s + 1. Let a be z(2). Suppose -58 = -2*h - a*h. What is m in h + 2/9*m**2 + 4/3*m = 0?
-3
Let k(x) be the second derivative of 2*x**7/63 + 2*x**6/3 + 27*x**5/5 + 21*x**4 + 36*x**3 + 1254*x. Determine y, given that k(y) = 0.
-6, -3, 0
Let i(m) be the second derivative of -m**6/60 + 17*m**5/30 - 31*m**4/12 + 5*m**3 + 55*m**2 - 78*m. Let a(z) be the first derivative of i(z). Factor a(y).
-2*(y - 15)*(y - 1)**2
Let d be 18/(1 + 1) - ((-37386)/(-469) - 73). Factor d*v**2 + 0 - 4/7*v - 12/7*v**3.
-4*v*(v - 1)*(3*v - 1)/7
Find t, given that 572/17*t + 2/17*t**2 + 40898/17 = 0.
-143
Let q = 65 + -50. Let t = -12 + q. Factor -8*w**t - 6 + 4*w - w**4 + 4*w + 3*w**4 + 4*w**2.
2*(w - 3)*(w - 1)**2*(w + 1)
Let u(n) be the first derivative of -n**5/120 + 11*n**4/24 + 41*n**2 - 104. Let l(q) be the second derivative of u(q). Factor l(t).
-t*(t - 22)/2
Let -392*g + 394*g**3 + 43*g**2 - 264 + 53*g**2 - 9*g**2 + 79*g**2 + 126*g**4 - 2*g**5 - 28*g**2 = 0. What is g?
-2, -1, 1, 66
Let s = 277 - 209. Suppose -9*r**2 + s*r**3 - 20*r**4 + 57*r - 41*r - 55*r**2 = 0. What is r?
0, 2/5, 1, 2
Suppose 152/3*m + 110/3*m**2 + 14/3*m**3 - 8 = 0. Calculate m.
-6, -2, 1/7
Suppose 3*z = -4*z + 35. Suppose -3 - 5 = -4*v - 4*u, 0 = z*v - 3*u - 18. Suppose -2*c - 15*c - 5*c**2 - v*c - 15 = 0. Calculate c.
-3, -1
Let q(d) be the second derivative of -8/3*d**3 + 50*d + 1/3*d**4 + 0 - 10*d**2. Find i such that q(i) = 0.
-1, 5
Factor 20*z**4 - 13010*z**2 - 13155*z**2 + 21 + 26421*z**2 - 132*z**3 + 39 + 2*z**5 - 206*z.
2*(z - 2)*(z - 1)**3*(z + 15)
Suppose -63*g + 60*g = -9. Factor -10 - 264*u + 5*u**2 + 5*u**2 - u**g + 261*u - 4*u**2.
-(u - 5)*(u - 2)*(u + 1)
Let i(f) be the third derivative of 5*f**8/336 - 2*f**7/21 - 37*f**6/24 + 58*f**5/3 - 70*f**4 + 2187*f**2. Let i(m) = 0. Calculate m.
-7, 0, 3, 4
Let o = -313898 + 1569562/5. What is n in 4*n**3 - 26/5*n**2 - o - 2/5*n**4 - 24*n = 0?
-1, 6
Let g(d) be the second derivative of d**8/672 + 5*d**7/336 - d**6/24 + 121*d**3/6 + 52*d. Let x(s) be the second derivative of g(s). What is y in x(y) = 0?
-6, 0, 1
Let n = -6/5573 + 27877/11146. Factor -25/6*i**2 + 5/6*i**4 + 0 - n*i**3 + 5/6*i**5 - 5/3*i.
5*i*(i - 2)*(i + 1)**3/6
Let u be (388*(-88)/(-80))/2. Let c = -209 + u. Factor -1/5*r**2 - 121/5 + c*r.
-(r - 11)**2/5
Let u = -37 + 42. Suppose 2*o = u*o - 6. Factor -141*t + 145*t - 3*t**o - t**2.
-4*t*(t - 1)
Factor -1/2*g**2 + 0 - 121/2*g.
-g*(g + 121)/2
Let i = -43018 + 43020. Factor -2 + 1/6*f**i + 1/6*f.
(f - 3)*(f + 4)/6
Let s be 7/(616/50392) - 2. Let v = s - 569. Factor v - 12/11*r + 2/11*r**2.
2*(r - 3)**2/11
Let h(q) = -11*q**4 + 433*q**3 - 429*q**2 - 451*q + 359. Let u(a) = a**4 + a**3 - a**2 + a + 9. Let g(p) = -2*h(p) - 18*u(p). Factor g(v).
4*(v - 220)*(v - 1)**2*(v + 1)
Let x(y) be the first derivative of y**6 - 417*y**5/2 - 261*y**4/4 + 1591. Determine h, given that x(h) = 0.
-1/4, 0, 174
Determine i, given that 602*i**2 - 5*i**3 + 4 + 694*i**2 - 4 - 961*i**2 = 0.
0, 67
Let t = -5388 + 16169/3. Let i(n) be the first derivative of -t*n**3 + 0*n**2 + 0*n - 2 - 5/2*n**4. Factor i(y).
-5*y**2*(2*y + 1)
Let z(r) = 7 + 7 - 35*r**2 - 35*r**2 + 45*r - 31*r. Let g(o) = o + 1. Let f(c) = 12*g(c) - 2*z(c). Factor f(x).
4*(5*x - 2)*(7*x + 2)
Let m(t) be the first derivative of 3*t**5/35 - 39*t**4/14 + 165*t**3/7 + 156*t**2/7 - 2028*t/7 + 417. Solve m(z) = 0 for z.
-2, 2, 13
Let l(m) be the second derivative of 2/27*m**4 + 0 - 19/27*m**3 + 1/90*m**5 - 64*m + 14/9*m**2. Suppose l(a) = 0. Calculate a.
-7, 1, 2
Let c be (-2)/(8/(-3))*(-59 - -63). Let 3*u**2 - u + 2*u**2 - 7*u**2 + 13*u**c - 14*u**3 = 0. What is u?
-1, 0
Let c(r) be the first derivative of -11*r**5/40 - 79*r**4/32 - 7*r**3 - 29*r**2/4 - 2*r + 259. Determine t so that c(t) = 0.
-4, -2, -1, -2/11
Let j(m) be the first derivative of -m**3/24 - 11*m**2 - 968*m - 863. Factor j(f).
-(f + 88)**2/8
Factor 49392 + 13629*v**3 - 13625*v**3 + 280*v**2 + 84*v**2 + 9408*v.
4*(v + 7)*(v + 42)**2
Let c(i) be the second derivative of i**5/160 - 217*i**4/96 + 161*i**3/12 - 107*i**2/4 + 254*i + 2. Factor c(d).
(d - 214)*(d - 2)*(d - 1)/8
Let y(d) be the third derivative of d**8/84 - 32*d**7/35 + 7*d**6/5 + 232*d**5/15 + 47*d**4/2 - 76*d**2 + 8*d. What is n in y(n) = 0?
-1, 0, 3, 47
Factor -279841/2*r - 1587*r**3 + 0 - 24334*r**2 - 1/2*r**5 - 46*r**4.
-r*(r + 23)**4/2
Let f(d) = 5*d**2 + 21*d + 12. Let m(c) = -183 + 362 - 178 - 3*c. Let z(r) = -f(r) + 2*m(r). Determine x so that z(x) = 0.
-5, -2/5
Suppose 0 = 6*k + k - 4109. Factor -5*j**2 + j**2 - k*j + 615*j - 24.
-4*(j - 6)*(j - 1)
Suppose 0 = -12*n - 142 + 502. Solve 99*l + 15*l + 3*l**2 + 1728 + n*l = 0.
-24
Solve -6*j**3 + 3/2*j**4 - 912*j - 651/2*j**2 - 594 = 0.
-11, -2, -1, 18
Let a(i) be the first derivative of 21/2*i**4 + 9/5*i**5 + 9*i**2 + 0*i + 14 + 17*i**3. Factor a(m).
3*m*(m + 1)*(m + 3)*(3*m + 2)
Let u(t) = 6*t**2 + 22*t + 20. Let d be u(-6). Let j = d + -101. Let 0 - 4/13*i**2 + 0*i + 2/13*i**5 + 4/13*i**4 - 2/13*i**j = 0. What is i?
-2, -1, 0, 1
Let v(l) be the third derivative of 102*l**2 - 1/392*l**8 + 0*l + 0*l**4 + 0 - 1/735*l**7 + 0*l**3 + 1/30*l**6 + 0*l**5. Factor v(k).
-2*k**3*(k - 2)*(3*k + 7)/7
Factor -3*g + 24/7*g**2 - 3/7*g**3 + 0.
-3*g*(g - 7)*(g - 1)/7
Let i(o) be the second derivative of 4*o**7/7 + 23*o**6/10 - 33*o**5/20 - 23*o**4/4 + 3*o**3/2 - 24*o + 36. Find y, given that i(y) = 0.
-3, -1, 0, 1/8, 1
Let o be -9 + 69 + -43 - 374/24 - 2/3. Factor 0 + 13/4*q**3 + o*q**4 - 11/4*q**2 - 5/4*q.
q*(q - 1)*(q + 5)*(3*q + 1)/4
Suppose -2*a = -21*a. Let d be -5 + (0 - 1) + (a - -8). Suppose 1/4*u**d + 81/4 - 9/2*u = 0. Calculate u.
9
Factor 6*r**2 + 44*r**2 - 144*r**3 + 120*r - 138*r**3 + 287*r**3.
5*r*(r + 4)*(r + 6)
Let u(x) be the third derivative of -x**6/24 + 5*x**5/3 + 145*x**4/2 + 960*x**3 - 496*x**2. Factor u(r).
-5*(r - 32)*(r + 6)**2
Let v(m) = 31*m**3 - 44*m**2 + 23*m + 74. Let w(b) = 20*b**3 - 30*b**2 + 15*b + 50. Let i(p) = -5*v(p) + 8*w(p). Determine o so that i(o) = 0.
-1, 2, 3
Let x(c) = -8*c**4 - 206*c**3 + 531*c**2 - 272*c + 10. Let i(v) = -20*v**4 - 520*v**3 + 1328*v**2 - 680*v + 24. Let h(l) = 5*i(l) - 12*x(l). Factor h(m).
-4*m*(m - 1)**2*(m + 34)
Factor 15/4 - 3/4*g - 15/4*g**2 + 3/4*g**3.
3*(g - 5)*(g - 1)*(g + 1)/4
Suppose -8*i + 8 = -4*i. What is k in -k**i + 15*k - 20*k + 10*k - 4 + 0*k**2 = 0?
1, 4
Let j(g) be the third derivative of 8/21*g**7 + 6*g**4 + 3*g**2 + 3*g + 16/3*g**3 + 62/15*g**5 + 17/10*g**6 + 0 + 1/28*g**8. Suppose j(h) = 0. Calculate h.
-2, -1, -2/3
Suppose -630*k + 546*k**4 + 108 + 2427/2*k**3 + 489*k**2 + 147/2*k**5 = 0. What is k?
-3, -2, 2/7
Let r = -63528 + 63568. Solve 2/5*p**2 + r + 8*p = 0 for p.
-10
Let n be (1/14)/((-14 - -19) + (-369)/74). Find v such that -1/7*v**2 - 36/7 - n*v = 0.
-36, -1
Let y = -35042 - -105136/3. Let c(x) be the first derivative of -y*x**3 - 1/15*x**5 + 23 - 3/4*x**4 - 8*x - 22/3*x**2. Let c(g) = 0. Calculate g.
-3, -2
Suppose 10*t = -12*t. Suppose 5*w + 14*w - 38 = t. Let -36/7*p**4 + 54/7*p**3 + 4/7 - 26/7*p + 4/7*p**w = 0. What is p?
-2/3, 1/6, 1
Let o be ((-384)/3360)/((-6)/504). Let 3/5*y**2 + 9*y - o = 0. Calculate y.
-16, 1
Let m = 116853/10 - 11685. Let l(d) be the third derivative of 0 + 1/200*d**6 + 4/5*d**3 + 3/50*d**5 + 0*d + m*d**4 - 17*d**2. Let l(v) = 0. What is v?
-2
Factor -24*d**4 - 12*d**4 + 80196*d**3 - 79412*d**3 + 176*d**2.
-4*d**2*(d - 22)*(9*d + 2)
Let s(x) be the second derivative of 3*x**5/20 + 5*x**4/4 - 7*x**3 - 9*x + 76. Factor s(m).
3*m*(m - 2)*(m + 7)
Let a be (53/((-636)/8))/((-4)/30). Let l(p) be the third derivative of 0 + 10*p**2 + 1/210*p**a + 4/21*p**3 + 0*p + 5/84*p**4. What is q in l(q) = 0?
-4, -1
Factor 1640*q + 1652*q**2 - 112*q**2 + 2510*q**4 + 640 - 2395*q**4 - 2*q**5 + 650*q**3 + 7*q**5.
5*(q + 1)*(q + 2)**3*(q + 16)
Let s be (-41)/3 - (-3330)/222. Let p(l) be the first derivative of 4*l**2 + s*l**3 - 17 + 4*