 = -2*i(v) + 3*l(v). Suppose a(s) = 0. Calculate s.
2
Suppose 14/5*t**2 + 18/5*t + 4/5 = 0. Calculate t.
-1, -2/7
Let p(s) be the second derivative of -s**4/48 + 13*s**3/12 + 7*s**2 - 4*s + 1. Factor p(o).
-(o - 28)*(o + 2)/4
Factor -2/7*d**3 + 10/7*d**2 + 0 - 8/7*d.
-2*d*(d - 4)*(d - 1)/7
Let v = 8074/18823 + -1/2689. Factor 3/7*y + 1/7 + 1/7*y**3 + v*y**2.
(y + 1)**3/7
Let m(k) be the third derivative of k**6/24 - k**5/3 - 25*k**4/24 - 7*k**2 - 2. What is z in m(z) = 0?
-1, 0, 5
Let m(w) be the first derivative of 3*w - 3/20*w**5 + 1/2*w**4 + 1/60*w**6 + 0*w**2 - 2/3*w**3 - 2. Let d(a) be the first derivative of m(a). Factor d(b).
b*(b - 2)**3/2
Let b = 0 + 0. Suppose b = 2*i - 5*i + 15. Factor 7*t**3 + 0*t**5 + t**5 + 1 + 2*t**2 - 3*t - 3*t**4 - i*t**3.
(t - 1)**4*(t + 1)
Let d(f) = -25*f**4 + 150*f**3 - 185*f**2 + 5*f. Let k(a) = -a**5 + 25*a**4 - 148*a**3 + 186*a**2 - 6*a. Let p(y) = 6*d(y) + 5*k(y). Solve p(g) = 0.
-9, 0, 2
Let r(a) be the second derivative of 0*a**4 + 9*a + 1/6*a**5 - 5/9*a**3 - 1/18*a**6 + 5/6*a**2 + 2. Determine b, given that r(b) = 0.
-1, 1
Let r(c) = -95*c - 5888. Let l be r(-62). Suppose 120/7*p**l - 36/7*p**5 - 6/7*p + 33/7*p**4 - 9/7 + 186/7*p**3 = 0. Calculate p.
-1, -1/3, 1/4, 3
Let b(z) = -6*z**2 - 27*z - 39. Let l(a) = -11*a**2 - 53*a - 80. Let q(x) = -5*b(x) + 3*l(x). Factor q(k).
-3*(k + 3)*(k + 5)
Let z(f) = -6*f**3 - 12*f**2 + 12*f + 21. Let a(h) = h**3 + h**2 + 2*h + 1. Let v(c) = 3*a(c) + z(c). Factor v(k).
-3*(k - 2)*(k + 1)*(k + 4)
Factor -3/4*b - 1/4*b**3 + 0 + 1/4*b**4 - 5/4*b**2.
b*(b - 3)*(b + 1)**2/4
Factor 8 + 10*c**3 + 6*c**3 + 7*c**3 - 22*c**3 - 6*c - 3*c**2.
(c - 4)*(c - 1)*(c + 2)
Let -148/13 + 6*n - 2/13*n**2 = 0. What is n?
2, 37
Determine y, given that -6 + 3*y - 1/3*y**2 = 0.
3, 6
Let k(d) be the third derivative of d**7/315 + 3*d**6/20 - 14*d**5/45 - 111*d**2 + 1. Solve k(v) = 0.
-28, 0, 1
Let f(q) be the first derivative of 2/3*q**2 + 0*q - 8/3*q**3 + 21 + 128/15*q**5 + 0*q**4. Determine s so that f(s) = 0.
-1/2, 0, 1/4
Suppose 20*x - 8*x = 0. Let t = x - 0. Let 4/9*f + 2/9*f**5 - 2/9*f**4 + t - 2/3*f**3 + 2/9*f**2 = 0. What is f?
-1, 0, 1, 2
Let d be (3575/(-507) + 7)*-13. Suppose -2/3*b + d*b**3 + 0*b**2 + 0 = 0. Calculate b.
-1, 0, 1
Let u(s) = 5*s**3 + 14*s**2 + 9*s + 6. Let y(b) = -b**3 + b - 1. Let i(t) = u(t) + 4*y(t). Let v be i(-13). Factor k + 0 + 1/2*k**v.
k*(k + 2)/2
Let y = 421 + -421. Solve 0*w**2 - 1/2*w**3 + y + 0*w + 3/2*w**4 = 0 for w.
0, 1/3
Let q(h) be the second derivative of -6*h**6/25 - 57*h**5/50 - 21*h**4/10 - 9*h**3/5 - 3*h**2/5 + 813*h. Let q(l) = 0. Calculate l.
-1, -1/6
Let z be 1467/(-1956)*16/(-6). Find y, given that 4/5*y**z + 0*y + 0 - 2/5*y**3 = 0.
0, 2
Let m(w) be the second derivative of w**6/720 + w**5/48 - w**4/8 + 8*w**3/3 + 15*w. Let b(t) be the second derivative of m(t). Solve b(v) = 0.
-6, 1
Let s(w) be the second derivative of w**5/130 + 6*w**4/13 + 144*w**3/13 + 1728*w**2/13 + 2*w + 13. What is m in s(m) = 0?
-12
Let z(y) be the second derivative of -2*y**7/21 - 2*y**6/15 + 3*y**5/5 + y**4/3 - 4*y**3/3 + 104*y. Suppose z(a) = 0. Calculate a.
-2, -1, 0, 1
Let s be 4/(-3)*12/(-8). Solve -3*b**s - 5 - 39*b - 9 + 5 + 39*b**3 + 12*b**4 = 0 for b.
-3, -1, -1/4, 1
Suppose -24 - 72 = -3*j. Factor 14*k**2 + 29*k**3 + k**2 - j*k**3.
-3*k**2*(k - 5)
Let u(i) be the third derivative of -i**5/16 - 7*i**4/48 + i**3/24 - 232*i**2. Determine m, given that u(m) = 0.
-1, 1/15
Let z = 77 + -65. Solve 95*u**2 - u - 7*u - z*u**5 - 70*u**3 - 135*u**2 - 50*u**4 = 0 for u.
-2, -1, -2/3, -1/2, 0
Let r(q) be the first derivative of -q**4 - 28*q**3/3 - 22*q**2 - 20*q - 565. Suppose r(j) = 0. Calculate j.
-5, -1
Let v(p) = -5*p**4 - 26*p**3 + 36*p**2 + 14*p - 19. Let c(l) = 5*l**4 + 25*l**3 - 35*l**2 - 15*l + 20. Let n(w) = 6*c(w) + 5*v(w). Factor n(k).
5*(k - 1)**2*(k + 1)*(k + 5)
Let q(h) = 25*h**2 - 890*h - 1025. Let m(a) = a**2 - 33*a - 38. Let u(b) = 55*m(b) - 2*q(b). What is z in u(z) = 0?
-1, 8
Let z(d) be the first derivative of d**5/3 - 5*d**4/6 - 20*d**3/3 - 35*d**2/3 - 25*d/3 - 43. Factor z(a).
5*(a - 5)*(a + 1)**3/3
Let y(a) = -a**2 + 2. Let j be y(0). Let c(b) = b**3 + 5*b**2 + 9*b + 24. Let g be c(-4). Solve -10*q**j - g - 15*q**3 - 2*q**5 + 4 + 7*q**5 = 0.
-1, 0, 2
Let y(j) be the first derivative of 1/4*j**2 + 3/4*j - 1/3*j**3 + 1/20*j**5 + 30 - 1/8*j**4. Solve y(q) = 0 for q.
-1, 1, 3
Let f = 787/8554 + 1/3290. Let w = f - -112/195. Factor 0 - w*c**5 + 0*c**2 - 2/3*c**4 + 0*c + 0*c**3.
-2*c**4*(c + 1)/3
Let i(z) be the second derivative of -z**4/4 + 32*z**3 - 1536*z**2 + 14*z - 2. Factor i(p).
-3*(p - 32)**2
Let m(g) be the third derivative of -2*g**7/105 + g**6/12 - 5*g**4/12 + 2*g**3/3 + 106*g**2. Let m(y) = 0. Calculate y.
-1, 1/2, 1, 2
Let 38/5*q**2 - 2/5*q**4 + 8/5*q**3 + 0 + 28/5*q = 0. What is q?
-2, -1, 0, 7
Let v be (10/4)/(20/48). Suppose y - v - 1 = 0. Factor -y*u**2 - 8/3*u + 4/3.
-(3*u + 2)*(7*u - 2)/3
Let y(b) = 21*b**5 - 75*b**4 + 18*b**3 + 96*b**2 - 36*b - 21. Let n(g) = -g**4 - g + 1. Let k(j) = 3*n(j) + y(j). Determine x so that k(x) = 0.
-1, -2/7, 1, 3
Suppose -273 + 1365 = 13*t. Let x be 70/t*(-3)/(-5). Solve -1/2*f**2 + 0 + 1/2*f**4 - x*f**3 + 1/2*f = 0.
-1, 0, 1
Let f(w) be the second derivative of -w**4/42 + w**3/21 + 2*w**2/7 - 6*w. Factor f(z).
-2*(z - 2)*(z + 1)/7
Let f(a) be the third derivative of a**6/60 + 3*a**5/10 - 7*a**4/4 - 245*a**3/3 + 27*a**2 + 3*a. Solve f(d) = 0.
-7, 5
Factor -1/3*d**2 + 1/3 + 0*d.
-(d - 1)*(d + 1)/3
Let c = -2374 - -2376. Factor 2/3*k + 1/3*k**c + 1/3.
(k + 1)**2/3
Let q(z) = -z**3 - 14*z**2 - 3*z + 16. Let o be q(-13). Let r = o + 118. Factor 0*a + 0 - 4/3*a**2 + 4/3*a**r + 0*a**3.
4*a**2*(a - 1)*(a + 1)/3
Let q = -2829 + 678961/240. Let j(u) be the third derivative of 0*u**3 + 0*u**5 + 0 + 1/48*u**4 - 7*u**2 - q*u**6 + 0*u. What is v in j(v) = 0?
-1, 0, 1
Suppose 3*m = -6*m + 18. Factor -260*l**m - 67*l**3 + 60*l + 192*l**3 - l**4 + 40*l**3 + 36*l**4.
5*l*(l - 1)*(l + 6)*(7*l - 2)
Factor -50*w**4 + 32453*w**2 + 15*w**4 + 90*w**3 - 32553*w**2 + 40*w + 5*w**5.
5*w*(w - 2)**3*(w - 1)
Suppose -2933*n + h - 6 = -2937*n, 4*n - 2*h = -12. Suppose n*m + 0 + 1/4*m**2 = 0. What is m?
0
Suppose 3*s = k - 2, -s - s - 8 = -2*k. Factor 0*d**2 - 12 + 0 - 2*d**2 + k*d**2.
3*(d - 2)*(d + 2)
Let r(u) be the first derivative of -u**4/24 + 19*u**3/18 + 89*u**2/12 + 23*u/2 + 712. Suppose r(i) = 0. What is i?
-3, -1, 23
Let l = 45 - 42. Let f(n) be the second derivative of 1/54*n**4 + 0 + 2/27*n**l - 1/45*n**5 - 1/9*n**2 - 4*n. Determine v, given that f(v) = 0.
-1, 1/2, 1
Let c be (-10)/2 - (1 + -10 + 3). Let h(p) be the first derivative of 207/4*p**4 - 81/5*p**5 - c - 58/3*p**3 - 8*p - 30*p**2. Factor h(q).
-(q - 2)*(q - 1)*(9*q + 2)**2
Let g(b) = 2*b - 54. Let l be g(25). Let o be ((-4)/34 - (-27)/374)*l. Determine i so that 2/11*i**2 - o*i - 4/11 = 0.
-1, 2
Suppose 3 = 2*t - t. Let v = 19 + t. Determine o, given that -v*o**3 - 12*o - 60*o**2 - 17*o**3 - 12*o**3 + 0*o**3 - 12*o**4 = 0.
-2, -1/4, 0
Let n be ((-7)/(-11))/((-22)/10274). Let w = -297 - n. Factor 0 + 2/11*o**2 - w*o**4 + 0*o**3 + 0*o.
-2*o**2*(o - 1)*(o + 1)/11
Let i = 17 + -49/3. Let c be 2/(-7) - (-1426)/483. Factor c*s - i*s**2 - 8/3.
-2*(s - 2)**2/3
Let b = 206668/149279 + 2/11483. Factor -4/13 + b*j**3 - 40/13*j**2 + 2*j.
2*(j - 1)**2*(9*j - 2)/13
Let h(p) be the third derivative of -p**7/420 - p**6/36 - 7*p**5/60 - p**4/4 - 3*p**3/2 + 2*p**2. Let d(m) be the first derivative of h(m). Factor d(s).
-2*(s + 1)**2*(s + 3)
Let a = -75 - -69. Let j be ((-98)/(-22) + 1)/(a/(-3)). Solve 72/11*b**3 + 38/11*b**2 - j*b + 4/11 = 0.
-1, 2/9, 1/4
Let 8/7*h**4 + 4/7*h + 8/7*h**3 - 30/7*h**2 + 10/7 = 0. Calculate h.
-5/2, -1/2, 1
Let h(w) be the second derivative of 0 + 0*w**3 + 1/84*w**4 + w - 1/420*w**6 - 5/2*w**2 + 0*w**5. Let c(d) be the first derivative of h(d). Factor c(x).
-2*x*(x - 1)*(x + 1)/7
Let t(o) = 12*o**2 + o + 4. Let i(d) = 38*d**2 + 2*d + 12. Let c(p) = -5*i(p) + 16*t(p). Factor c(a).
2*(a + 1)*(a + 2)
Determine q, given that 8*q**4 - 4*q - 11*q - 12*q**4 + 8*q**3 + 4*q**2 + 7*q = 0.
-1, 0, 1, 2
Let k(h) be the first derivative of h**6/4 - 39*h**5/5 + 639*h**4/8 - 286*h**3 + 363*h**2 + 163. Find x such that k(x) = 0.
0, 2, 11
Let w(m) be the