 + 10*g**2. Determine v so that s(v) = 0.
0, 1
Factor -5*y**3 + 981*y - 3 - 15*y**2 - 2 - 996*y.
-5*(y + 1)**3
Suppose r - 2*p = -5*p + 11, 0 = -3*r + 4*p + 7. Suppose r*b - 2*b = 6. Find a such that -b*a**2 + a**3 - 7*a**2 + 8*a**2 = 0.
0, 1
Let q(d) = 2*d**3 - d**2 + 1. Let p be q(1). Let t = -281 + 283. Solve -4*o**2 + t*o**p - 4*o**4 + 20*o**3 - 26*o**3 = 0 for o.
-1, -1/2, 0
Let b(o) = 10*o**4 - 26*o**3 - 82*o**2 - 40*o - 6. Let h(n) = 11*n**4 - 25*n**3 - 83*n**2 - 40*n - 7. Let u(z) = -7*b(z) + 6*h(z). Factor u(a).
-4*a*(a - 10)*(a + 1)**2
Let l = 1/6 - -1/12. Let z be ((-8)/(-6))/((-12)/(-18)). Let -1/2*v**4 + 0*v**3 + l*v**5 + 1/2*v**z + 0 - 1/4*v = 0. What is v?
-1, 0, 1
Solve 16*w**2 + 22/5*w + 6/5*w**3 - 52/5 = 0 for w.
-13, -1, 2/3
Let z(i) be the third derivative of i**7/35 - 9*i**6/40 + i**5/4 + 9*i**4/8 - 7*i**3/2 - 96*i**2. Factor z(h).
3*(h - 1)**2*(h + 1)*(2*h - 7)
Factor 7/3*g**3 - 1/3*g**4 + 17/3*g - 17/3*g**2 - 2.
-(g - 3)*(g - 2)*(g - 1)**2/3
Let r be (-322)/(-828)*(-12)/(-21). Factor 2/9*c**2 + 0 + 0*c - r*c**4 - 2/9*c**5 + 2/9*c**3.
-2*c**2*(c - 1)*(c + 1)**2/9
Let c(k) be the third derivative of k**5/480 + 25*k**4/96 + 625*k**3/48 - 162*k**2. Let c(r) = 0. What is r?
-25
Let g be (1/5)/(101/3030). Let b(t) be the second derivative of 0 + 0*t**5 + 0*t**2 + 8*t - 1/42*t**4 + 1/105*t**g + 0*t**3. Factor b(d).
2*d**2*(d - 1)*(d + 1)/7
Let c = 7 - 3. Let r be 1/c + (27/(-12) - -2). Suppose -3/2*j**2 - 3*j + r = 0. What is j?
-2, 0
Let w(h) be the third derivative of -h**7/105 - h**6/15 + 4*h**4/3 + 16*h**3/3 - 3*h**2 - 13. Suppose w(p) = 0. What is p?
-2, 2
Factor 71*i**2 + 353*i + 14*i**2 - 50 + 62*i.
5*(i + 5)*(17*i - 2)
Let a(z) be the first derivative of 3*z**2 - 4*z - 2/3*z**3 - 6. Factor a(i).
-2*(i - 2)*(i - 1)
Let s = -1/1723 + 3457/18953. Factor 8/11*r + s*r**2 + 0.
2*r*(r + 4)/11
Let 4*k**2 - 3*k**2 + 133 - 173 + 4*k**2 + 10*k = 0. Calculate k.
-4, 2
Let d be (-2 - 16/(-10)) + 2358/270. Let n = d - 119/15. Factor -2/15 + 2/15*i**3 - n*i**2 + 2/5*i.
2*(i - 1)**3/15
Let z(c) be the third derivative of 0 + 0*c + 1/6*c**5 - 5/2*c**3 - 1/6*c**6 + 1/42*c**7 - 8*c**2 + 5/6*c**4. Factor z(t).
5*(t - 3)*(t - 1)**2*(t + 1)
Let t(a) = -23*a**3 + 90*a**2 + 285*a - 352. Let c(u) = 8*u**3 - 30*u**2 - 95*u + 117. Let x(n) = 8*c(n) + 3*t(n). Factor x(d).
-5*(d - 8)*(d - 1)*(d + 3)
Suppose 4*l = -4*y, -8 = 4*l - 9*l - y. Suppose l = -2*j - 2*f, 2*j - 2*f - 13 = f. What is s in 2/7 - 16/7*s + 32/7*s**j = 0?
1/4
Let c = -2210 + 2212. Factor 4/13 - 2/13*a**c + 2/13*a.
-2*(a - 2)*(a + 1)/13
Let l = 129839/7 - 18545. Factor -16/7*g + 0 - 2/7*g**4 - l*g**2 - 12/7*g**3.
-2*g*(g + 2)**3/7
Let b(l) be the first derivative of 3*l**5/5 + 39*l**4/4 + 33*l**3 + 93*l**2/2 + 30*l + 107. Find y such that b(y) = 0.
-10, -1
Let u(j) be the third derivative of -3*j**7/14 + 7*j**6/24 + 55*j**5/6 + 5*j**4 - j**2 - 251*j. Suppose u(q) = 0. Calculate q.
-3, -2/9, 0, 4
Let m(b) be the third derivative of -b**8/224 + b**7/140 + b**6/40 - b**5/20 - b**4/16 + b**3/4 - 9*b**2 + 2*b. Solve m(p) = 0 for p.
-1, 1
Suppose 12 = -3*o, 2*o = 5*g - 3*o - 15. Let m be (g - -1)*(-1 - (0 + -2)). Factor -2/11*n**3 + 2/11*n**4 + 2/11*n - 2/11*n**2 + m.
2*n*(n - 1)**2*(n + 1)/11
Let l(v) be the first derivative of v**7/350 - v**6/100 + 9*v**2/2 - 8. Let o(g) be the second derivative of l(g). Let o(d) = 0. Calculate d.
0, 2
Let p(j) be the third derivative of 0 + 5/336*j**8 - 15*j**2 + 0*j**7 + 0*j + 0*j**4 - 1/8*j**6 + 1/6*j**5 + 0*j**3. Factor p(h).
5*h**2*(h - 1)**2*(h + 2)
Suppose 0 = -3*v + 3*s + 9, -3*v - v + 2*s + 14 = 0. Suppose -154 = -4*g + 3*g - c, -628 = -v*g + 2*c. Factor 6 - 4 - 507*p**2 - 14 + g*p.
-3*(13*p - 2)**2
Let y(g) be the third derivative of 1/24*g**4 + 0*g + 1/6*g**3 - 1/60*g**5 - 8*g**2 + 0 - 1/120*g**6. Suppose y(h) = 0. Calculate h.
-1, 1
Suppose -f = 3*k + 45 + 27, 4*f = k + 37. Let m = k - -27. Let 0 - 1/3*x - 1/3*x**3 + 2/3*x**m = 0. What is x?
0, 1
Factor 7/3*k**2 + 8/3 + 1/3*k**3 + 14/3*k.
(k + 1)*(k + 2)*(k + 4)/3
Let n(u) = -u + 13. Let k be n(8). Suppose 0 = -3*i - 3*r + 6, -i + k*r - 6 = -4*i. Factor 2*m**5 + m**4 - 7*m**4 - 2*m**i - 2*m**3 + 8*m**4.
2*m**2*(m - 1)*(m + 1)**2
Let i = 3031 - 3028. Factor 2/15*v**i - 2/15 - 2/5*v**2 + 2/5*v.
2*(v - 1)**3/15
Let v(s) be the second derivative of s**8/53760 + s**7/20160 - s**6/1152 + s**5/320 + 7*s**4/2 + s. Let c(l) be the third derivative of v(l). Factor c(h).
(h - 1)**2*(h + 3)/8
Let n be -29*(1 + -2) + 6 + -3. Let g be 12/n - (-9)/8. Factor -1/2*f**2 + 0 - g*f.
-f*(f + 3)/2
Let u(w) be the second derivative of 33*w**5/20 - 57*w**4/4 + 38*w**3 - 18*w**2 - 3*w + 3. What is q in u(q) = 0?
2/11, 2, 3
Let d be (-3 + 0 + 0)/(-1). Determine n so that d*n - 14*n**4 + 4*n**3 + 14*n**2 - 7*n + 0*n = 0.
-1, 0, 2/7, 1
Let k = 11 + -8. Suppose -k*h + 2*h**3 + 26*h**2 - h**4 - 25*h**2 + h = 0. Calculate h.
-1, 0, 1, 2
Let d(s) = -s**3 - 10*s**2 - 18*s - 14. Let x be d(-8). Let y(k) be the first derivative of 7 - 1/8*k**4 - 3/4*k**x - 1/2*k**3 - 1/2*k. Factor y(o).
-(o + 1)**3/2
Let l = -890 - -894. Let y(v) be the third derivative of 1/9*v**3 + 1/315*v**7 + v**2 - 1/45*v**6 + 0 + 1/15*v**5 + 0*v - 1/9*v**l. Factor y(j).
2*(j - 1)**4/3
Let g(v) be the first derivative of v**4/66 - v**3/33 - 2*v**2/11 - 33*v - 14. Let b(s) be the first derivative of g(s). Factor b(u).
2*(u - 2)*(u + 1)/11
Let x(h) be the third derivative of -h**5/12 + 55*h**4/24 - 15*h**3 - 73*h**2 + 1. Let x(l) = 0. What is l?
2, 9
Let f = -1610 + 1615. Let i(n) be the second derivative of 1/4*n**3 - 3/40*n**f + 0*n**4 + 3/8*n**2 + 0 + 4*n - 1/40*n**6. Let i(y) = 0. What is y?
-1, 1
Let l(i) be the third derivative of 42*i**2 + 0 + 0*i + 4/3*i**3 + 2/9*i**4 - 11/270*i**5 + 1/540*i**6. Find d such that l(d) = 0.
-1, 6
Factor -364/9*j - 188/9*j**2 - 20 - 4/9*j**3.
-4*(j + 1)**2*(j + 45)/9
Let p = 102 + -107. Let g(q) = -4*q**2 + 12*q - 8. Let x(i) = 8*i**2 - 24*i + 16. Let m(w) = p*g(w) - 2*x(w). Factor m(u).
4*(u - 2)*(u - 1)
Suppose -4*h + 14 = 6. Suppose 0 = j - n + h*n - 3, -15 = 4*j - 5*n. Factor -1/5*g**2 + j*g + 1/5.
-(g - 1)*(g + 1)/5
Factor 87 - 148/3*t**2 - 26*t - 34/3*t**3 - 1/3*t**4.
-(t - 1)*(t + 3)**2*(t + 29)/3
Let d = 261 - 261. Let a(y) be the second derivative of -4*y**2 + d + 3*y**3 + 1/10*y**5 - y**4 - 4*y. Factor a(i).
2*(i - 4)*(i - 1)**2
Let n(f) = -f**2 + 12*f - 17. Let a be n(10). Factor 40*q**2 - 6*q**a - 9*q - 25*q**2 + 3 - 3*q.
-3*(q - 1)**2*(2*q - 1)
Let u(s) be the third derivative of 0*s**4 - s**2 + 0*s - 1/40*s**6 - 1/140*s**7 + 0*s**3 + 2 - 1/40*s**5. Factor u(r).
-3*r**2*(r + 1)**2/2
Factor -1/2*i**5 - 6*i**3 + 13/2*i - 4*i**4 + 3 + i**2.
-(i - 1)*(i + 1)**3*(i + 6)/2
Let c = -3504 - -3504. Factor 2/5 - 2/5*b**2 + c*b.
-2*(b - 1)*(b + 1)/5
Let s(r) = -6*r**4 - 3*r + 3. Let z(f) = -11*f**4 + f**2 - 5*f + 5. Let w be (2/6)/(1/(-9)). Let n(q) = w*z(q) + 5*s(q). Factor n(c).
3*c**2*(c - 1)*(c + 1)
Let a(h) be the third derivative of -h**5/120 - 199*h**2. Factor a(q).
-q**2/2
Let q(x) be the first derivative of -27 + x + 3/2*x**2 + 2/3*x**3. Factor q(r).
(r + 1)*(2*r + 1)
Let m(p) = 61*p**3 - 2760*p**2 + 784*p. Let c(n) = 30*n**3 - 1380*n**2 + 392*n. Let j(i) = -5*c(i) + 2*m(i). Determine d, given that j(d) = 0.
0, 2/7, 49
Let d(j) be the second derivative of j**5 - 35*j**4/4 + 145*j**3/6 - 15*j**2 + j + 10. Factor d(b).
5*(b - 3)*(b - 2)*(4*b - 1)
Let j be 7*(-6)/(-84) + 6/4. Suppose -j*r - 5*y + 15 = 0, 0 = -r + 2*y + 23 - 29. Factor 8/5*h**2 + 0 + 4*h**3 + 14/5*h**4 + 3/5*h**5 + r*h.
h**2*(h + 2)**2*(3*h + 2)/5
Let d(p) = p**3 + 8*p**2 - 20*p - 5. Let f be d(-10). Let m be (-273)/(-65) + (-2 - 9/f). Let -1/3*j**2 + 1/3*j + 1/3*j**m + 0 - 1/3*j**3 = 0. What is j?
-1, 0, 1
Factor -3*y**2 + 643*y**4 - 324*y**4 - 321*y**4 - 17*y**2 + 14*y**3.
-2*y**2*(y - 5)*(y - 2)
Find v, given that 2/7*v**3 + 2/7*v**2 - 18/7*v - 18/7 = 0.
-3, -1, 3
Let o(r) be the first derivative of -r**4/16 + 43*r**3/12 - 483*r**2/8 + 441*r/4 + 252. Factor o(x).
-(x - 21)**2*(x - 1)/4
Determine i so that -2/3*i**4 - 62/3*i**2 - 12*i + 12*i**3 + 64/3 = 0.
-1, 1, 2, 16
Let j(t) = -t**3 - 7*t**2 - 6*t + 2. Let d be j(-6). Let n(l) be the second derivative of -1/6*l**d + 4*l - 1/72*l**4 - 1/12*l**3 + 0. Factor n(m).
-(m + 1)*(m + 2)/6
Le