is a in 15*a**2 - 3*a**2 - 26*a + 9 - 3*a**2 + 13*a**2 - 5 = 0?
2/11, 1
Let o(g) be the first derivative of 0*g + 0*g**2 + 16/27*g**3 - 48 - 4/15*g**5 + 0*g**4 + 2/27*g**6. Determine w so that o(w) = 0.
-1, 0, 2
Find n such that -13 + 14 - 3*n - 5 - 54*n - 8 - 63*n**2 = 0.
-4/7, -1/3
Let w(b) be the first derivative of 2/3*b**3 + 1/2*b**2 - 28 + 0*b + 1/4*b**4. Let w(y) = 0. What is y?
-1, 0
Let t(d) be the first derivative of d**7/420 - d**5/60 + 6*d**3 + 29. Let s(l) be the third derivative of t(l). Factor s(u).
2*u*(u - 1)*(u + 1)
Let w(s) = -9*s**3 - 39*s**2 + 36*s + 84. Let a(u) = 26*u**3 + 117*u**2 - 110*u - 252. Let x(v) = -6*a(v) - 17*w(v). Factor x(g).
-3*(g - 2)*(g + 1)*(g + 14)
Let g(s) be the third derivative of 2*s**7/63 - 4*s**6/45 - 2*s**5/15 + 8*s**4/9 - 14*s**3/9 + 5*s**2 - 7. Factor g(r).
4*(r - 1)**3*(5*r + 7)/3
Solve 29*a**4 + 0 - 8*a**2 + 98/5*a**3 + 7/5*a**5 + 0*a = 0.
-20, -1, 0, 2/7
Let k(l) be the second derivative of l**5/120 + l**4/8 + 12*l**2 - 36*l. Let d(w) be the first derivative of k(w). Find i such that d(i) = 0.
-6, 0
Let z(d) be the second derivative of -2*d**6/15 + 42*d**5/5 - 397*d**4/3 - 616*d**3 - 968*d**2 + 313*d. Solve z(a) = 0 for a.
-1, 22
Suppose -s = 3*o - 12, -2*s + 9*o + 18 = 13*o. Let v(z) be the second derivative of 0*z**2 + 5*z - 1/120*z**6 + 0*z**s + 0 + 1/40*z**5 - 1/48*z**4. Factor v(c).
-c**2*(c - 1)**2/4
Suppose -8*x - 8 = -24. Factor 10 + 80*p**x - 27*p - 28*p - 20*p**3 - 15*p**3.
-5*(p - 1)**2*(7*p - 2)
Let k(w) = -9*w**2 - 4*w + 8. Let o(x) = -x + 5. Let a be o(4). Let b = -3 + a. Let l(d) = -4*d**2 - 2*d + 4. Let i(c) = b*k(c) + 5*l(c). Factor i(m).
-2*(m - 1)*(m + 2)
Let h = -1985 - -1988. Let n(x) be the second derivative of 0 - 2/27*x**h + 1/45*x**6 + 4*x + 1/90*x**5 + 0*x**2 + 1/189*x**7 - 1/18*x**4. Solve n(y) = 0 for y.
-2, -1, 0, 1
Suppose 3*r + 10 = -10*x + 6*x, 24 = 3*x - 3*r. Factor -8/3*p**3 - 2*p**4 + 0*p + 0 - 2/3*p**x.
-2*p**2*(p + 1)*(3*p + 1)/3
Let h(r) be the third derivative of r**5/15 - 58*r**4/3 - 78*r**3 - 2*r**2 + 38*r. Let h(z) = 0. What is z?
-1, 117
Let f be 336/147 + ((-2)/7 - 0). Find t, given that 3*t**2 + 14*t**2 - 13*t**f = 0.
0
Suppose 13*h = 2*h - 660. Let i be 18/15*(-8)/h*25. Solve 2/7*j - 4/7*j**3 + 2/7*j**5 - 4/7*j**2 + 2/7 + 2/7*j**i = 0 for j.
-1, 1
Let k be ((-6)/(-12))/((-2)/(-8)). Let h be 1/k*(5 + -1). Factor -j**2 + 7*j**2 - 3*j - 6*j**5 + 7*j**5 - 6*j**4 + h*j**5.
3*j*(j - 1)**3*(j + 1)
Let b(o) = -5779*o**2 + 372*o - 32. Let f(j) = 2889*j**2 - 186*j + 15. Let d(u) = -6*b(u) - 13*f(u). Determine t so that d(t) = 0.
1/31
Let a = -2676/55 + 544/11. Factor 2/15*s**2 + 6/5 - a*s.
2*(s - 3)**2/15
Let n = -28136 + 28138. Let -1/8*h + 1/8*h**3 + 1/8*h**n - 1/8 = 0. Calculate h.
-1, 1
Let i = -516/5 + 2249/20. Factor 7*v + 73/4*v**3 + 7/4*v**5 + 67/4*v**2 + i*v**4 + 1.
(v + 1)**3*(v + 2)*(7*v + 2)/4
Let z(u) be the third derivative of -u**7/2520 - u**6/720 + u**5/60 + 11*u**4/24 + 14*u**2. Let k(a) be the second derivative of z(a). Solve k(d) = 0.
-2, 1
Suppose 3*z = 2*s + 11, -3*z = -3 + 6. Let x = s - -11. Factor 5*i**2 - x - 4*i + 0 - 6*i**2.
-(i + 2)**2
Let l be 1 - (-4)/(-3) - (-11)/(-3). Let j be 2*l/12 + (-66)/(-45). Factor -2/5*b**2 - j + 6/5*b.
-2*(b - 2)*(b - 1)/5
Let c(b) be the third derivative of -b**5/80 - 119*b**4/32 - 59*b**3/4 - b**2 + 143*b. Find y such that c(y) = 0.
-118, -1
Suppose 10*v - 7*v = -2*v. Suppose -u + 19 - 13 = v. Suppose -42*t + u + 147/2*t**2 = 0. What is t?
2/7
Factor 3/2*i - 3/4*i**5 + 15/4*i**2 + 9/4*i**3 - 3/4*i**4 + 0.
-3*i*(i - 2)*(i + 1)**3/4
Let v be 1 - 2 - (-15 + -7). Suppose -v = -9*i + 15. Find w such that 3/2*w**2 + 2*w - 2 - 1/2*w**i - w**3 = 0.
-2, 1
Let p = 56 - 127. Let x = p - -75. Solve 6/5*i**5 - 4/5*i - 2*i**2 - 2/5*i**3 + 2*i**x + 0 = 0.
-1, -2/3, 0, 1
Let l(k) = 2*k + 4. Let i be l(0). Solve -29*t**4 + 8*t + 0*t**3 + t**3 + 7*t**3 + 32*t**2 - 4 + t**i - 16*t**5 = 0.
-1, 1/4, 1
Suppose 0 = -3*c - c - x + 99, 135 = 5*c - x. Let a be (c/(-10) - -2)*-5. Solve -k**3 + 4*k**2 - 7*k**a - 4*k**4 + 8*k + 0*k = 0 for k.
-2, -1, 0, 1
Let w(h) be the second derivative of -h**4/60 - 5*h**3/2 + 38*h**2/5 + 138*h - 2. Find n, given that w(n) = 0.
-76, 1
Let n(i) be the third derivative of -i**6/300 + 2*i**5/15 - 19*i**4/60 + 4*i**2 - 44*i. What is h in n(h) = 0?
0, 1, 19
Let f = 720 - 2150/3. Let t(a) be the first derivative of -25/4*a**2 - 5/8*a**4 + f*a**3 - 4 + 5*a. Factor t(c).
-5*(c - 2)*(c - 1)**2/2
Let o be (-2)/7 + 5208/1764. Solve -2/3*b**2 + 8*b - 2*b**3 + o = 0 for b.
-2, -1/3, 2
Let v(a) = -a**3 + 2*a**2 + 4*a + 58. Let f be v(5). Factor 4/7*p**2 + 0 + 1/7*p**f + 3/7*p.
p*(p + 1)*(p + 3)/7
Let m(o) be the second derivative of -1/6*o**2 + 1/15*o**5 - 1/6*o**4 + 15*o + 0 - 1/90*o**6 + 2/9*o**3. Factor m(z).
-(z - 1)**4/3
Let t(l) = 5*l**3 - l**2 - 2*l + 2. Let a be t(1). Factor -21*w**a - 6*w**3 + 64*w**4 - 12*w**2 - 16*w**4 - 24*w**4 + 24*w.
3*w*(w - 2)**2*(w + 2)
Find o such that -2500*o**3 - 160*o**4 + 101423*o**5 - 104544 + 5644*o**2 - 24724*o**2 - 101427*o**5 - 71280*o = 0.
-11, -6
Let l(p) be the second derivative of p**5/15 - 13*p**4/3 + 338*p**3/3 + 7*p**2/2 + 33*p. Let c(b) be the first derivative of l(b). Factor c(v).
4*(v - 13)**2
Let y(i) = i**3 - i**2 - 1. Let d(h) = 8*h**3 - 18*h**2 + 32*h - 35. Let k(m) = 3*d(m) - 21*y(m). What is u in k(u) = 0?
2, 7
Let b = 32 + -28. Suppose 16 = 4*d - 2*g + g, -b*d + 16 = -2*g. Determine y, given that 3/5*y**d + 2/5*y**3 - 2/5*y**2 - 1/5 - 3/5*y + 1/5*y**5 = 0.
-1, 1
Let f be 3/(3/14*2). Let a(k) = -k**2 + 8*k - 3. Let v be a(f). Factor -6*l**5 - 2*l**3 + 2*l**2 - 2*l**v + 7*l**5 + l**5.
2*l**2*(l - 1)**2*(l + 1)
Suppose 12*n - 35 = 5*n. Determine x, given that -10*x**2 - 1 + 1 + 15*x**3 + 60*x**4 + 32*x**5 + 3*x**n = 0.
-1, 0, 2/7
Factor 46/3*p + 0 - 2/3*p**3 + 44/3*p**2.
-2*p*(p - 23)*(p + 1)/3
Let z be (0 + 327)/((-294)/140). Let v = 156 + z. Factor 0*l**2 + 0*l + 0 - v*l**3.
-2*l**3/7
Let x = 35/46 + 377/230. Let 8/5 + 4/5*h**2 - x*h = 0. What is h?
1, 2
Let j(v) be the first derivative of 9*v**5/20 + 33*v**4/16 - v**3/4 - 57*v**2/8 + 9*v/2 + 113. Determine i, given that j(i) = 0.
-3, -2, 1/3, 1
Let t(k) be the first derivative of 4 + 1/540*k**6 + 0*k**5 + 0*k + 6*k**2 + 0*k**3 - 1/108*k**4. Let w(x) be the second derivative of t(x). Factor w(o).
2*o*(o - 1)*(o + 1)/9
Let s(n) be the first derivative of -5/2*n**4 - 5/3*n**3 + 25/2*n**2 - 10*n + 43. Factor s(j).
-5*(j - 1)*(j + 2)*(2*j - 1)
Solve 3/2*g**2 - 3*g - 2 + 11/4*g**3 + 3/4*g**4 = 0 for g.
-2, -2/3, 1
Factor -20/7 - 46/21*o + 2/21*o**3 + 16/21*o**2.
2*(o - 3)*(o + 1)*(o + 10)/21
Let x(w) = w**2 + 1. Let p be x(0). Suppose 5*u - 14 = p. Factor u*a**2 + 7 - 4 - 1 + 6*a + 1.
3*(a + 1)**2
Let g = -31933 - -31940. Solve -1/2*z**4 + 6*z**2 - z**3 + 5/2 - g*z = 0.
-5, 1
Suppose -17*k - 64*k + 138 = -12*k. Factor -k*j**2 + 4/3*j + 0 + 2/3*j**3.
2*j*(j - 2)*(j - 1)/3
Let d = -21/121 - -347/605. Let o(c) be the first derivative of 1/10*c**2 - 1/15*c**3 - 10 + d*c. Factor o(m).
-(m - 2)*(m + 1)/5
Let q(a) be the second derivative of -a**5/90 + a**4/2 - 9*a**3 + 35*a**2/2 - 37*a. Let u(t) be the first derivative of q(t). Determine s so that u(s) = 0.
9
Suppose -3*y + 111*z - 106*z = 10, y = 3*z - 10. Let -20/3*v**2 + 16/3 - 40/3*v + 50/3*v**3 + 4/3*v**4 - 10/3*v**y = 0. Calculate v.
-2, -1, 2/5, 1, 2
Let y(z) be the first derivative of -1/3*z + 1/9*z**2 + 1/27*z**3 + 10. Solve y(s) = 0 for s.
-3, 1
Let m(l) be the second derivative of l**5/15 - 19*l**4/18 - 32*l**3/9 - 11*l**2/3 + 129*l. Let m(w) = 0. What is w?
-1, -1/2, 11
Let l = -1416 - -1420. Let b(c) be the second derivative of 1/6*c**4 + 11*c + 0 + 0*c**3 - l*c**2. Find v such that b(v) = 0.
-2, 2
Let t(v) be the third derivative of -v**6/60 + v**5/30 + v**4/6 + 3*v**2 - 16*v. Let t(o) = 0. What is o?
-1, 0, 2
Factor 64/15*z**3 + 148/5*z**2 + 2/15*z**4 + 578/15 - 1088/15*z.
2*(z - 1)**2*(z + 17)**2/15
Let l(p) = 2*p + 4. Let o be l(5). Suppose -o = -i - 11. Factor 0*j**2 - 4*j**4 + 7*j**2 - 11*j**2 - 9*j**3 + j**i.
-4*j**2*(j + 1)**2
Let q(n) = -6*n**2 - 237*n - 2651. Let b(t) = 33*t**2 + 1305*t + 14580. Let u(z) = -5*b(z) - 27*q(z). Find y such that u(y) = 0.
-21
Suppose 0 = -5*p - 19 - 21. Let t be 12/p - (-1060)/8. Find l such that -