rd derivative of 5*f**8/294 + f**7/105 - 31*f**6/420 - f**5/42 + 11*f**4/84 - 2*f**3/21 + 156*f**2. What is v in w(v) = 0?
-1, 1/4, 2/5, 1
Let p(s) be the first derivative of 17*s**6/72 + 3*s**5/2 + 5*s**4/6 + 5*s**3 + 13. Let k(c) be the third derivative of p(c). Factor k(i).
5*(i + 2)*(17*i + 2)
Suppose -625000 - 750*w**2 + 10715*w + 20640*w + 4*w**3 + 5*w**3 + 6145*w - 4*w**3 = 0. Calculate w.
50
Let w(l) be the third derivative of 9/140*l**6 + 0*l**3 + 0 + 1/7*l**5 + 1/7*l**4 + 1/784*l**8 + 1/70*l**7 + 0*l - 11*l**2. Factor w(z).
3*z*(z + 1)*(z + 2)**3/7
Let w = -3/5 + 5/6. Let y(f) be the second derivative of 0 - 1/4*f**4 - 3/20*f**5 + w*f**6 + 0*f**2 - 2*f + 1/3*f**3 - 1/14*f**7. Factor y(b).
-b*(b - 1)**3*(3*b + 2)
Let n(f) be the third derivative of -f**8/504 + 11*f**7/945 - 2*f**6/135 - 2*f**5/135 - 42*f**2. Factor n(c).
-2*c**2*(c - 2)**2*(3*c + 1)/9
Let c = -8 + 10. Suppose t = 5*s - 25, 3*t = -16 + 1. Let x + x**c - s*x + x + x = 0. What is x?
0, 1
Let n = 281/203 - 7/29. Let j = n + -10/21. Factor 0 + j*u**3 - 2/3*u**2 - 2/9*u**4 + 2/9*u.
-2*u*(u - 1)**3/9
Let j(t) be the first derivative of -289*t**3/6 + 17*t**2 - 2*t + 165. Suppose j(m) = 0. What is m?
2/17
Let j(f) = -24*f - 5. Let c(r) = -8*r - 2. Let z(a) = -7*c(a) + 2*j(a). Let m be z(2). Let 7*w**3 - 36*w - 11*w**3 - 4*w**2 - m*w**2 = 0. Calculate w.
-3, 0
Let x be (4/6 + 1)*1506/1004. Let -15/2*j**2 + 0 + 15/2*j**3 - x*j**4 + 5/2*j = 0. Calculate j.
0, 1
Let d(k) = 16*k + 64. Let b = 75 - 79. Let z be d(b). What is x in 1/3*x**5 + 0 + 0*x**2 + 0*x**3 + 2/3*x**4 + z*x = 0?
-2, 0
Let m be (-2 - -2)/(4 + -2). Let f(d) be the first derivative of 8 + 1/9*d**6 + m*d**5 + d**2 + 4/9*d**3 - 2/3*d**4 - 4/3*d. Factor f(r).
2*(r - 1)**3*(r + 1)*(r + 2)/3
Let l(w) be the second derivative of w**8/504 + w**7/105 + 9*w**2 - 2*w - 3. Let p(n) be the first derivative of l(n). Factor p(v).
2*v**4*(v + 3)/3
Let k(u) be the third derivative of u**6/1020 + 7*u**5/510 - 7*u**4/51 + 20*u**3/51 + 261*u**2. Let k(x) = 0. What is x?
-10, 1, 2
Factor -1/2*p**3 - 3/5 + 9/5*p**2 - 7/10*p.
-(p - 3)*(p - 1)*(5*p + 2)/10
Let r(t) be the second derivative of t**5/40 + t**4/24 + 19*t. Suppose r(p) = 0. What is p?
-1, 0
Find u, given that -15*u**4 + 30*u**3 - 33932*u + 15*u**3 + 33890*u - 3*u**5 + 24*u**2 - 9*u**2 = 0.
-7, -1, 0, 1, 2
Let l(w) be the third derivative of w**6/80 + 159*w**5/40 + 8427*w**4/16 + 148877*w**3/4 + 23*w**2 + 3*w. Suppose l(p) = 0. What is p?
-53
Let z = 21 - 10. What is k in z*k**2 - 9*k**2 + k + 5 + 5*k - 1 = 0?
-2, -1
Let t(c) = -c**2 + 1. Let q(a) = -8*a**2 + 8*a + 7. Let l(s) = -4*q(s) + 28*t(s). Factor l(d).
4*d*(d - 8)
Let s(o) = -o**2 + 30*o + 1003. Let a be s(-20). Solve 3/4*c**4 - a - 3*c + 9/4*c**2 + 3*c**3 = 0 for c.
-2, -1, 1
Let p(u) be the second derivative of -3/160*u**5 - 3/8*u**2 + 5/16*u**3 + 1/80*u**6 + 0 + 12*u - 3/32*u**4. Suppose p(s) = 0. Calculate s.
-2, 1
Suppose -194/9*r**2 - 8 + 64/3*r + 2/9*r**5 + 94/9*r**3 - 22/9*r**4 = 0. What is r?
1, 2, 3
Suppose -19*u = -u - 90. Suppose -2*s + 6 = -3*m, -3*m + 2*m + u*s - 15 = 0. Factor 0*i**3 + m*i + 2/7*i**4 + 0 - 2/7*i**2.
2*i**2*(i - 1)*(i + 1)/7
Suppose 10*v - 12*v = -2. Let 4*t - 34*t**2 - v + 9 + 30*t**2 = 0. Calculate t.
-1, 2
Let i be (3/21 + -1)*7. Let q(o) = 9*o**4 - 15*o**3 + 15*o**2 - 9*o. Let d(r) = -r**4 + r**2. Let t(p) = i*d(p) - q(p). Let t(h) = 0. What is h?
0, 1, 3
Suppose -1313*r + 42 - 2 = -1293*r. Factor 2/9*t**3 + 10/9*t**r + 16/9*t + 8/9.
2*(t + 1)*(t + 2)**2/9
Let a(m) = 4*m**3 - 372*m**2 + 708*m - 340. Let q(c) = c**3 - 124*c**2 + 236*c - 113. Let i(w) = -3*a(w) + 8*q(w). Factor i(u).
-4*(u - 29)*(u - 1)**2
Let u = -12911/4 - -3105. Let q = u - -123. Factor -1/2 + q*z + 1/2*z**2 - 1/4*z**3.
-(z - 2)*(z - 1)*(z + 1)/4
Let p(u) be the second derivative of u**5/4 + 25*u**4/4 - 55*u**3/2 + 85*u**2/2 + 17*u. Determine i, given that p(i) = 0.
-17, 1
Suppose -20 = -5*j, -4*j + 17 + 17 = -2*o. Let h be o/(-1 + 4) - -7. Suppose -27*s**3 - 2*s**h + 8*s**5 + 13*s**3 - 4*s**5 + 12*s**3 = 0. Calculate s.
-1/2, 0, 1
Factor 2/7*y**3 + 0 + 10/7*y**2 + 8/7*y.
2*y*(y + 1)*(y + 4)/7
Let a(m) be the second derivative of m**5/15 - m**4/9 - 2*m**3/9 + 2*m**2/3 + 19*m - 2. Let a(i) = 0. What is i?
-1, 1
Let v(w) be the second derivative of w**5/15 - w**4/2 + 4*w**3/3 + 3*w**2 + 21*w. Let q(g) be the first derivative of v(g). What is y in q(y) = 0?
1, 2
Suppose -21 = -5*o + 3*c - 2*c, -3*o + 23 = 2*c. What is i in -i**5 + 3*i**3 - 5*i**o + 3*i**5 + 0*i**5 = 0?
-1, 0, 1
Let b be ((-824)/618)/(5/(-6)). What is a in -2/15*a**4 - 26/15*a**2 - 8/15 - b*a - 4/5*a**3 = 0?
-2, -1
Let z(a) = -6*a**3 - 6*a**4 - 13 + 14*a**2 + 3 - 4*a**4. Let y(q) = q**4 + q**3 - q**2 + 1. Let w(j) = 6*y(j) + z(j). Determine p so that w(p) = 0.
-1, 1
Find m, given that 248/7*m**3 + 2/7*m**4 + 1440*m**2 - 42336 + 18144*m = 0.
-42, 2
Let k = -59 + 61. Solve 0 - 42*b**2 + 43*b**k + 2*b + 5*b - 8 = 0 for b.
-8, 1
Let -7/3*m**4 + 11*m**3 + 25*m + 101/3*m**2 + 14/3 = 0. Calculate m.
-1, -2/7, 7
Let z(j) = 73*j + 69. Let m(i) = -i**2 + 3*i. Let s(a) = -3*m(a) + 3*z(a). Factor s(l).
3*(l + 1)*(l + 69)
Suppose -36 = -3*n - 0*n. Factor 6*s - 6*s**3 - 15*s**4 + 4*s**2 - s**2 + n*s**4.
-3*s*(s - 1)*(s + 1)*(s + 2)
What is t in -1025 - 4*t + t**2 - 1091 - 5*t**2 - 180*t = 0?
-23
Suppose -3*c + 4*r + 18 = 0, 5*c + 0*r = -4*r - 2. Suppose d**2 + 3*d**2 - d + 2*d**c - 7*d**2 = 0. What is d?
-1, 0
Let h(q) be the first derivative of -3/10*q**5 + 4*q + 0*q**2 - 1 - 2/3*q**3 - 5/6*q**4. Let d(j) be the first derivative of h(j). Factor d(m).
-2*m*(m + 1)*(3*m + 2)
Let q(o) = 2*o + 79. Let t be q(15). Let v = t - 106. Factor 1/2*j**2 + 0 + 0*j + 1/2*j**v.
j**2*(j + 1)/2
Let h = 1162/3 - 382. Let w(q) be the second derivative of 0 - h*q**3 + 8*q**2 + 3*q - 7/5*q**5 - 19/3*q**4. Factor w(u).
-4*(u + 1)*(u + 2)*(7*u - 2)
Suppose -9 = 13*h - 35. Let i be (-66)/(-42) - (h + 34/(-14)). Find b such that 8 + 4*b + 1/2*b**i = 0.
-4
Let i(g) be the first derivative of -2*g**6/3 - 12*g**5/5 - 2*g**4 + 8*g**3/3 + 6*g**2 + 4*g - 49. Factor i(d).
-4*(d - 1)*(d + 1)**4
Suppose 2 + 6 + 28*b - 33*b - 52*b + 21*b**3 + 1 - 45*b**2 = 0. Calculate b.
-1, 1/7, 3
Let m(r) = 127*r**2 - 2*r - 1. Let h be m(-1). Determine q so that -106*q**3 + 37*q**3 - 27*q**3 + 64 - 32*q**2 + 36*q**4 + h*q = 0.
-2/3, 2
Let r(q) be the third derivative of -q**7/70 - q**6/2 + 11*q**5/10 + 5*q**4/2 - 21*q**3/2 - 6*q**2 + 21*q. Suppose r(v) = 0. What is v?
-21, -1, 1
Find c such that 2*c**2 + 0 - 20/11*c = 0.
0, 10/11
Let j be (-8 + 42/6)*(2 + (-72)/33). Suppose 0*o + 0 - j*o**3 + 0*o**2 = 0. What is o?
0
Solve -1483*l**2 + 2*l**5 + 1459*l**2 + l**5 - 30*l**4 + 51*l**3 = 0 for l.
0, 1, 8
Let x(f) = f - 6. Let z be (-34)/(-4) - 1/(-2). Let g be x(z). Find p such that p**2 - 9*p**4 + 2*p - g*p**3 - 2*p - p**5 + 12*p**4 = 0.
0, 1
Let l(j) be the second derivative of j**6/3240 + j**5/270 - 19*j**3/6 - 4*j. Let w(i) be the second derivative of l(i). Factor w(m).
m*(m + 4)/9
Let w be (30/132)/((-2)/(-11)). Let v(u) be the first derivative of 1/2*u**5 - w*u**2 - 5/12*u**6 - 10 - 5/3*u**3 + 5/2*u + 5/4*u**4. Solve v(c) = 0 for c.
-1, 1
Let k = -636 + 642. Let x(w) be the second derivative of -6/35*w**5 + 9*w + 0 + 2/105*w**k + 0*w**3 + 0*w**2 + 3/7*w**4. What is l in x(l) = 0?
0, 3
Let z be (14/(-21)*(2 + 4))/(30/(-9)). Factor -4/5*f**3 - 4/5*f**2 - 2/5*f**5 + z*f**4 + 6/5*f - 2/5.
-2*(f - 1)**4*(f + 1)/5
Suppose 5*d = 5*w + 30, 4*d = 2*d - w. Let k(h) be the third derivative of 1/4*h**4 + 2/3*h**3 + 0*h + h**d + 0 + 1/30*h**5. Find r, given that k(r) = 0.
-2, -1
Let n = 1110 + -3328/3. Let c(f) be the third derivative of 10*f**2 + n*f**4 + 0 - 8/3*f**3 + 0*f - 1/15*f**5. Solve c(l) = 0 for l.
2
Solve -429*s**3 + 12*s**2 + 0 - 6 + 438*s**3 - 3*s = 0 for s.
-1, 2/3
Let a = -1258 - -21388/17. Let -4/17*s + a + 2/17*s**2 = 0. Calculate s.
1
Let k(u) be the first derivative of -2*u**6/45 - 7*u**5/30 - u**4/2 + 11*u**3/3 + 2. Let f(o) be the third derivative of k(o). Determine w so that f(w) = 0.
-1, -3/4
Let -1/6*a**3 - 15/2*a - 3*a**2 + 0 = 0. Calculate a.
-15, -3, 0
Let s = -216049/3 + 72651. Let l = 9191/12 - s. Suppose 9*x - l*x**3 + 135/2*x**2 - 6 = 0. Calculate x.
-2/7, 2/5
Let d(v) = v**3 + v**2 + v - 1.