- 6/5*f**2 - 3 + 4/15*f**3. Factor m(g).
4*(g - 2)*(g - 1)/5
Let b(q) = q**3 + q**2 - 5. Let o be b(0). Let g(c) = 5*c**2 + 26*c + 7. Let n be g(o). Solve -1/4 - 19/4*p**n - 2*p - 3*p**3 = 0 for p.
-1, -1/3, -1/4
Let w(y) be the first derivative of 4*y**6/15 - 22*y**5/25 + y**4/10 + 26*y**3/15 - y**2 - 4*y/5 - 488. Determine n so that w(n) = 0.
-1, -1/4, 1, 2
Let b = 4 - 2. Let v be 0*((-20)/(-8))/(-5) + b. Factor 0*f - 8/5 + 2/5*f**v.
2*(f - 2)*(f + 2)/5
Let g(q) be the second derivative of -2*q**7/63 + 3*q**5/5 + 4*q**4/9 - 8*q**3/3 + 28*q - 3. What is l in g(l) = 0?
-2, 0, 1, 3
Let u(c) be the third derivative of -c**8/840 - c**7/525 + c**6/75 + 2*c**5/75 - 299*c**2. Solve u(h) = 0.
-2, -1, 0, 2
Suppose -5*h = v - 46, 2*v + 3*h = 3*v - 22. Let x = v + -22. Factor a**3 - x*a**2 - 2*a - a + 2*a**3 + 9*a.
3*a*(a - 2)*(a - 1)
Let c(s) be the second derivative of -s**7/1008 + s**6/180 - s**5/80 + s**4/6 + 8*s. Let z(n) be the third derivative of c(n). Find j, given that z(j) = 0.
3/5, 1
Suppose -4*g - 16 = -5*n, 725*n - 722*n = -5*g - 20. Factor -1/7*o**5 + 1/7*o**3 + n*o**4 + 0*o + 0 + 0*o**2.
-o**3*(o - 1)*(o + 1)/7
What is o in 2/5*o**2 + 862/15*o + 572/15 = 0?
-143, -2/3
Suppose -3*n + 48 = -5*t, 0*t = 4*t. Suppose -2*w - 10 = -n. Solve 0*j**2 + 0 + 0*j + 0*j**4 + 1/2*j**w - 1/2*j**5 = 0 for j.
-1, 0, 1
Let -76*r + 472*r - 89 - 115 - 144 - 16*r**2 + 60 = 0. What is r?
3/4, 24
Factor -6*x**2 - 6*x**2 + 2*x**3 - 15*x - 4*x**3 + 8*x + 21*x.
-2*x*(x - 1)*(x + 7)
Let o(w) = w**3 - w**2 + w. Suppose 10 = -b - 4*b. Let c(t) = 977*t - 8*t**3 - 2*t**4 + 3*t**2 - 7*t**2 - 981*t. Let v(x) = b*c(x) - 4*o(x). Factor v(d).
4*d*(d + 1)**3
Let k be (2/9)/(26/39). Let t = 675 - 2020/3. Factor t*o - 4/3 - k*o**2.
-(o - 4)*(o - 1)/3
Let h(b) be the first derivative of -24*b**2 + b**3 - 3*b**5 - 25/2*b**6 + 123/4*b**4 + 12*b + 1. Suppose h(z) = 0. What is z?
-1, 2/5, 1
Let j(t) = t - 11. Let a be j(14). Suppose -10 = a*o - 16. What is i in -5*i**3 - 5*i**o - i**2 + 10*i**3 + i**2 = 0?
0, 1
Suppose -32 = 2*r + 5*h, 85*r = 83*r + 3*h + 32. Factor 0 - 1/7*p**r - 3/7*p - 1/7*p**3 + 5/7*p**2.
-p*(p - 1)**2*(p + 3)/7
Let y(h) be the first derivative of -2*h**5/15 + 2*h**4/3 + 8*h**3/3 - 172. Determine i, given that y(i) = 0.
-2, 0, 6
Let m(v) = -3*v**3 + 1. Let t(y) = 20*y**3 - 24*y**2 + 28*y + 232. Let w(l) = 8*m(l) + t(l). Factor w(n).
-4*(n - 3)*(n + 4)*(n + 5)
Factor -9/4*s + 0 - 3/2*s**2 + 3/4*s**3.
3*s*(s - 3)*(s + 1)/4
Let t be (3/(-5))/((-117)/1755). Let h(f) be the first derivative of -5*f**4 + t - 8/3*f**3 + 0*f + 0*f**2 - 12/5*f**5. Factor h(k).
-4*k**2*(k + 1)*(3*k + 2)
Let x(i) be the third derivative of 0 - 2/3*i**3 + 0*i**4 + 0*i + 5*i**2 - 1/720*i**6 + 0*i**5. Let l(p) be the first derivative of x(p). Factor l(s).
-s**2/2
Find m such that -16*m + 26*m**2 + 9*m**2 + 48 + 15*m**2 - 4*m**3 - 78*m**2 = 0.
-6, -2, 1
Let l(b) be the second derivative of 10*b + 2 + 20*b**2 - 5*b**3 + 5/12*b**4. Solve l(k) = 0.
2, 4
Find c such that -3/2*c**2 + 12*c + 0 = 0.
0, 8
Let z(t) = -15*t**2 - 2*t - 1. Let s be z(-2). Let b = -32 - s. Let 10*d + 0*d**2 + 2*d**2 - 2*d**3 + b - 19 = 0. Calculate d.
-1, 3
Let f(x) be the third derivative of x**7/630 + x**6/120 - x**5/45 - x**4/6 + 42*x**2 - 5. Factor f(p).
p*(p - 2)*(p + 2)*(p + 3)/3
Let k(a) be the third derivative of a**3 - 1/20*a**5 + 0*a + 1/8*a**4 + 0 + 9*a**2. Factor k(v).
-3*(v - 2)*(v + 1)
Let p(y) be the first derivative of -y**4/8 + 7*y**3/18 + 11*y**2/6 - 4*y/3 + 91. Factor p(l).
-(l - 4)*(l + 2)*(3*l - 1)/6
Let a(q) be the third derivative of -q**8/672 - q**7/14 - 3*q**6/2 - 18*q**5 - 135*q**4 - 648*q**3 - 88*q**2 - q. Solve a(n) = 0 for n.
-6
Let x(b) be the second derivative of 115/12*b**4 + 0 - 7/4*b**5 + 10*b**2 - 50/3*b**3 - 22*b. Let x(v) = 0. Calculate v.
2/7, 1, 2
Let f = 921/9410 - -2/941. Let z(g) be the first derivative of -4/15*g**3 + 1/10*g**2 + 0*g + f*g**4 + 4/25*g**5 - 5 - 1/10*g**6. Suppose z(l) = 0. What is l?
-1, 0, 1/3, 1
Let v = 10 - 8. Factor -31 - 3*d + 3*d**v + 31.
3*d*(d - 1)
Let y(j) = -3*j - 6. Let v(x) = 8*x + 19. Let i(r) = 4*v(r) + 11*y(r). Let q be i(-3). Factor 11*n**2 - 57*n - q - 35 + 58*n**2 - 9*n**3 - 63*n.
-3*(n - 4)**2*(3*n + 1)
Let n(y) be the first derivative of y**5/10 + 7*y**4/4 + 4*y**3 + 205. Suppose n(a) = 0. Calculate a.
-12, -2, 0
Let g(u) be the second derivative of -u**6/3420 + u**5/228 - u**4/57 + u**3/6 - 4*u. Let r(y) be the second derivative of g(y). Factor r(w).
-2*(w - 4)*(w - 1)/19
Let -5*a**3 + 31*a**3 + 174*a**2 - 48 - 290*a**2 + 152*a = 0. What is a?
6/13, 2
Let s be 111/12*(1 + (-2 - -17)). Let g = 150 - s. Determine u so that -4/5*u - 4/5*u**g + 8/5 = 0.
-2, 1
Let u = 3 - 2. Let h(m) = 6*m**2 - 2*m - 12. Let d(j) = -j**2 + j. Let q(n) = u*h(n) + 4*d(n). Factor q(z).
2*(z - 2)*(z + 3)
Let j(n) be the first derivative of n**6/10 + 9*n**5/20 + n**4/2 + 8*n + 28. Let f(g) be the first derivative of j(g). Find m, given that f(m) = 0.
-2, -1, 0
Suppose 38/5*b**4 + 138/5*b**3 + 58/5*b**2 - 36/5*b - 6/5*b**5 + 0 = 0. Calculate b.
-2, -1, 0, 1/3, 9
Let d(b) be the first derivative of -b**3/3 + 7*b**2/2 - 6*b + 78. Factor d(s).
-(s - 6)*(s - 1)
Let p(o) = 4*o**2 + 7*o + 9. Let j(z) be the first derivative of 2*z**3/3 + 2*z**2 + 4*z - 5. Let x(i) = -9*j(i) + 4*p(i). Factor x(r).
-2*r*(r + 4)
Determine c so that 0 - 2/5*c**2 - 12/5*c = 0.
-6, 0
Let t(r) = -14*r**2 - 31*r - 6. Let d(a) = 30*a**2 + 63*a + 11. Let b(j) = 6*d(j) + 13*t(j). Factor b(m).
-(m + 12)*(2*m + 1)
Let f(z) = -z**4 + z**3 + z**2 - z - 2. Let t(d) = -25*d**3 - 175*d**2 - 205*d - 10. Let a(g) = 5*f(g) - t(g). Suppose a(n) = 0. Calculate n.
-2, 0, 10
Let y(q) be the third derivative of -q**5/60 - q**4/24 + q**3 + q**2 + 2. Suppose y(l) = 0. What is l?
-3, 2
Let d = -3529/5 + 706. Let z(c) be the second derivative of 7*c - 4/5*c**3 - 1/50*c**5 + d*c**4 + 0 + 8/5*c**2. Find v such that z(v) = 0.
2
Let h(j) be the second derivative of -1/4*j**2 + 0 + 13*j + 1/24*j**4 - 1/24*j**3 + 1/80*j**5. Factor h(t).
(t - 1)*(t + 1)*(t + 2)/4
Let y(z) = z**2 + 2*z + 1. Let p(j) = -j - 1. Let r(t) = -6*p(t) + y(t). Factor r(w).
(w + 1)*(w + 7)
Let h(i) be the first derivative of 3*i**5/20 + i**4/2 - 3*i - 16. Let k(p) be the first derivative of h(p). Solve k(g) = 0.
-2, 0
Let x(b) be the first derivative of 2*b**4 - 1/3*b**6 - 4/5*b**5 + 32 + 0*b - 3*b**2 + 4/3*b**3. Let x(z) = 0. Calculate z.
-3, -1, 0, 1
Let w(p) = 11*p**4 - 35*p**3 - 209*p**2 - 487*p - 377. Let s(t) = 3*t**4 - 12*t**3 - 70*t**2 - 162*t - 126. Let b(l) = 21*s(l) - 6*w(l). What is a in b(a) = 0?
-4, -2
Let k be 2/(-235)*(9 - 14). Let d = k + 137/94. Let 1/3*w + d*w**2 - 3/2*w**4 + 0 + 5/6*w**3 - 7/6*w**5 = 0. What is w?
-1, -2/7, 0, 1
Let a be 230/92*6/5. Let r(q) be the second derivative of 3*q + 1/45*q**6 + 0 - 1/3*q**2 + 2/9*q**a - 1/15*q**5 + 0*q**4. Factor r(p).
2*(p - 1)**3*(p + 1)/3
Let 7*n**4 + 66*n**3 - 4*n - 6061*n**2 - 57*n**3 + 6049*n**2 = 0. Calculate n.
-2, -2/7, 0, 1
Let q(n) = n**3 + 9*n**2 + 6*n - 14. Let p be q(-8). Let s(x) be the first derivative of 4 + 0*x - 8/33*x**3 + 3/22*x**4 + 1/11*x**p. Factor s(d).
2*d*(d - 1)*(3*d - 1)/11
Let d be 1*(1 + 0) + 9 + -7. Factor -67*o**3 + 152*o + 50*o**4 + 40 + 16*o**d + 18*o**2 - 209*o**3.
2*(o - 5)*(o - 1)*(5*o + 2)**2
Determine p so that -6*p - 44/9 - 4/9*p**2 + 2/3*p**3 = 0.
-2, -1, 11/3
Let l(a) = a**3 - 7*a**2 + 6*a + 4. Let z be l(6). Suppose -25*y**3 + 10*y**2 - 8*y**4 - 22*y**4 - 5*y**z = 0. What is y?
-1, 0, 2/7
Let b(k) be the third derivative of -k**6/660 + k**5/55 + 7*k**4/132 - 396*k**2. Factor b(s).
-2*s*(s - 7)*(s + 1)/11
Let n be 194/(-16) + (-4)/(-32). Let u be (n + 447/36)/((-10)/(-6)). Solve -u*w**2 - 4 + 2*w = 0 for w.
4
Let i(h) = -30*h**4 + 120*h**3 + 126*h**2 + 8. Let c(v) = -19*v**4 + 80*v**3 + 84*v**2 + 5. Let q(d) = 8*c(d) - 5*i(d). What is m in q(m) = 0?
-1, 0, 21
Let v(t) = -t + 5. Let m be v(1). Let u be 5 + (m - 0) + -7. Suppose 4/5 + 2/5*i**u - 4/5*i**3 + 2*i = 0. Calculate i.
-1, -1/2, 2
Let h(z) be the third derivative of z**8/168 - 146*z**7/945 + 223*z**6/270 + 602*z**5/135 + 49*z**4/12 - 6*z**3 - z**2 + 36*z. Find c such that h(c) = 0.
-1, 2/9, 9
Let g = -2 - -41. Suppose f = -11 + g. Factor -r**3 - 28*r + f*r.
-r**3
Let o(p) be the second deriv