et w(c) be the third derivative of u(c). What is m in w(m) = 0?
1, 2
Let d(h) be the first derivative of -h**4/4 + 3*h**3 + 11*h**2/2 - 6*h + 9. Let v be d(10). Determine s so that -6 - 10*s**3 + 1 + 5*s**v + 16*s - 6*s = 0.
-1, 1
Let k(j) = j**3 + j**2 - j + 1. Let l(f) = 5*f**3 + 7*f**2 - f + 9. Let r(h) = 6*k(h) - l(h). Find c such that r(c) = 0.
-1, 3
Suppose 1026 + 3*q**2 + 1029 - 21*q - 2055 = 0. Calculate q.
0, 7
Suppose 12*u**2 - 80 + 85*u - 43*u**2 + 7*u**2 + 19*u**2 = 0. Calculate u.
1, 16
Factor -16/9*j - 2/9*j**4 - 34/9*j**2 - 20/9*j**3 + 0.
-2*j*(j + 1)**2*(j + 8)/9
Let b be (2358/14 + 32/56)/(-1). Let r = 1186/7 + b. Find g, given that 0*g + 4/7 - r*g**2 - 1/7*g**3 = 0.
-2, 1
Factor -3 + 6*c**3 + 11/3*c**4 - 19/3*c + 1/3*c**5 - 2/3*c**2.
(c - 1)*(c + 1)**3*(c + 9)/3
Let r(c) be the second derivative of -c**6/360 + c**5/30 + c**4/2 + c**3/6 + 7*c**2/2 + c - 5. Let y(s) be the second derivative of r(s). Factor y(f).
-(f - 6)*(f + 2)
Let y(l) be the third derivative of l**6/480 + l**5/5 - l**4/96 - 2*l**3 - 691*l**2. Suppose y(t) = 0. What is t?
-48, -1, 1
Let r(b) be the first derivative of 0*b**5 - 1/30*b**6 - 1 + 1/4*b**4 + 0*b**2 + 1/3*b**3 + 3*b. Let q(s) be the first derivative of r(s). Factor q(h).
-h*(h - 2)*(h + 1)**2
Let z(u) be the second derivative of u**6/270 + u**5/60 + u**4/54 - u. What is f in z(f) = 0?
-2, -1, 0
Find g such that -1/5*g + 6/5 - 1/5*g**2 = 0.
-3, 2
Let o be 3/(-5) + 0 - (-51)/10. Let u = o + -23/6. Factor -2*x + u*x**2 + 4/3.
2*(x - 2)*(x - 1)/3
Let a be (55/(-15) - -3)*(-5)/((-105)/(-36)). Find t, given that 2/7*t**2 - 8/7*t + a = 0.
2
Let t(j) be the first derivative of j**5/240 + j**4/32 - j**3/6 - 5*j**2 - 6. Let c(f) be the second derivative of t(f). Factor c(s).
(s - 1)*(s + 4)/4
Let n(t) = 4*t**3 - t**2 + 1. Let g be n(1). Suppose -3*p = -g*p + 5. Factor z**4 + 6*z - p*z**4 + z**4 - 15*z**2 + 12*z**3.
-3*z*(z - 2)*(z - 1)**2
Let a = -260/17 - -673/34. Factor -a*s**2 - 81/2*s - 243/2 - 1/6*s**3.
-(s + 9)**3/6
Let a(c) = c**3 - 25*c**2 + 90*c - 83. Let n(k) = -2*k - 1. Let j(g) = -a(g) - n(g). Find h such that j(h) = 0.
2, 21
Suppose -40 = -4*o + 2*c, 2*c = o + 3*c - 7. What is b in 5*b**5 + b**5 - o*b**5 + 9*b**4 - 21*b**2 + 12 + 3*b**3 = 0?
-1, 1, 2
Let j(n) = 4*n**2 + 16*n - 8. Let q(u) = -11*u**2 - 1 + 7*u**2 + 4 + 3*u**2 - 5*u. Let p = -21 + 18. Let v(l) = p*j(l) - 8*q(l). Solve v(k) = 0 for k.
-2, 0
Let b(k) be the first derivative of -k**3/2 - 66*k**2 - 2904*k - 24. Factor b(y).
-3*(y + 44)**2/2
Let u(j) be the first derivative of j**7/420 + j**6/180 - 4*j**3/3 + 20. Let g(v) be the third derivative of u(v). Factor g(o).
2*o**2*(o + 1)
Let u be (-4)/(-7) + (-391)/(-161). Suppose 0*p + 0 - 2/9*p**2 + 2/9*p**5 - 2/9*p**u + 2/9*p**4 = 0. Calculate p.
-1, 0, 1
Let y = 23101/1595 + 9/145. Factor -64/11 - 160/11*h**2 - y*h - 2/11*h**5 - 20/11*h**4 - 80/11*h**3.
-2*(h + 2)**5/11
Let a(g) be the first derivative of -g**5/40 + g**4/24 + g**3/12 - g**2/4 + 10*g - 12. Let w(t) be the first derivative of a(t). Let w(d) = 0. Calculate d.
-1, 1
Let c(m) = -m**2 + m - 1. Let o(f) = -5*f**2 - 5*f + 1. Let t(w) = 6*c(w) - o(w). Let g be t(10). Factor 7*n**g - n**5 - 4*n**4 - 13*n**3 + n - 4*n**2 - 2*n.
-n*(n + 1)**4
Let o be 2 - ((-11)/(-7) - 0). Let c be (-24)/(-14) + 4/14. Factor -8/7*t**c - o*t**3 - 3/7*t + 2/7.
-(t + 1)*(t + 2)*(3*t - 1)/7
Let w(z) = -z**2 - 13*z + 68. Let r be w(4). Factor 0*u + 1/7*u**2 + r.
u**2/7
Let t(p) be the first derivative of p**4 - 44*p**3/3 - 112*p**2 - 240*p + 264. Solve t(r) = 0 for r.
-2, 15
Suppose -52*p**2 - 3 + 0 + 25*p - 5*p**3 + 63*p + 13*p**3 - 29 = 0. What is p?
1/2, 2, 4
Determine j so that 223 + j**3 + 0*j**3 + j**5 - 11*j**4 - 9*j**3 + 362*j + 196*j**2 + 86*j + 33 = 0.
-2, -1, 8
Solve -2/5*i**3 + 2/5*i - 1/5*i**4 + 0*i**2 + 1/5 = 0.
-1, 1
Let b(i) = i**5 + i**4 - i**2. Let d(n) = 6*n**5 + 6*n**4 - n**3 - 6*n**2. Let w(r) = 10*b(r) - 2*d(r). Factor w(p).
-2*p**2*(p - 1)*(p + 1)**2
Let x = -943/4 + 236. Let o(k) be the second derivative of -1/10*k**5 - 1/60*k**6 - 1/4*k**2 + k - x*k**4 - 1/3*k**3 + 0. Factor o(j).
-(j + 1)**4/2
Let d be (-3)/(-24)*(0 + 11 + -9). Let m(f) be the first derivative of 1/2*f**2 + 0*f - d*f**4 - 10 + 1/10*f**5 - 1/6*f**3. Let m(z) = 0. What is z?
-1, 0, 1, 2
Let q(w) be the first derivative of 5*w**6/2 - 17*w**5 + 105*w**4/4 + 35*w**3 - 80*w**2 - 60*w + 200. Find c such that q(c) = 0.
-1, -1/3, 2, 3
Find y such that 1/2*y**3 - 2*y + 4 - y**2 = 0.
-2, 2
Suppose 3*f**3 - 9/4*f**4 - f + 1/2*f**2 - 1/4 = 0. What is f?
-1/3, 1
Suppose -l + 5*l - 5*z - 57 = 0, -2*z = 4*l - 22. Factor -6*j**2 - l*j**2 + 0*j**3 - 9*j**3 + 20*j**2.
-3*j**2*(3*j - 2)
Factor -1/3*g**4 + 5/3*g**2 + 0 + g**3 + 2/3*g - 1/3*g**5.
-g*(g - 2)*(g + 1)**3/3
Let y(f) = f**3 - 23*f**2 + 126*f + 4. Let d be y(14). Let p(r) be the first derivative of 0*r**2 + 0*r**d + 2/5*r - 4/15*r**3 - 4 + 2/25*r**5. Factor p(q).
2*(q - 1)**2*(q + 1)**2/5
What is k in -1/3*k**3 + 2/3*k**2 + 13*k + 24 = 0?
-3, 8
Let 0 + 2*p**3 + 10/7*p**4 + 6/7*p**2 + 2/7*p**5 + 0*p = 0. Calculate p.
-3, -1, 0
Let h(k) be the first derivative of 4/21*k**6 - 4/7*k**3 + 8 + 1/7*k**2 + 13/14*k**4 + 0*k - 24/35*k**5. What is v in h(v) = 0?
0, 1/2, 1
Let z(p) be the second derivative of -1/12*p**4 + 0 + 7*p + 0*p**3 + 2*p**2. Determine g so that z(g) = 0.
-2, 2
Let 826*d - 835*d - 3*d**3 + 3 + 9*d**2 + 5 - 5 = 0. What is d?
1
Let d be (-2)/2 - (-42)/26. Let p be 18/2 - (-17325)/(-3003). Find k such that 0 + p*k**4 + 48/13*k**3 + 0*k + d*k**2 - 98/13*k**5 = 0.
-2/7, 0, 1
Let j = -26 + 23. Let s(g) = -g. Let c be s(j). Factor -3*d**4 - 43*d + 5*d**3 + c*d**2 - 2*d**3 + 40*d.
-3*d*(d - 1)**2*(d + 1)
Let i(j) = 27*j**2 + 297*j + 42. Let s(g) = -54*g**2 - 595*g - 81. Let m(q) = 5*i(q) + 3*s(q). Factor m(o).
-3*(o + 11)*(9*o + 1)
Determine h, given that 8 + 2/3*h**3 + 40/3*h + 6*h**2 = 0.
-6, -2, -1
Solve 0*i + 2/5*i**3 + 4/15*i**2 + 2/15*i**4 + 0 = 0.
-2, -1, 0
Let p(c) be the third derivative of -c**7/1155 + 3*c**6/220 + c**5/33 + 117*c**2. Factor p(n).
-2*n**2*(n - 10)*(n + 1)/11
Factor -28/5*u**3 - 2/5*u**4 + 0 - 98/5*u**2 + 0*u.
-2*u**2*(u + 7)**2/5
Factor 0 + 1/4*q**5 + 0*q + 0*q**2 - 3/4*q**3 - 1/2*q**4.
q**3*(q - 3)*(q + 1)/4
Let 3*q**5 - 11*q**5 + 3*q**5 - 55*q**2 + 15*q**4 + 15*q**3 + 4*q + 26*q = 0. What is q?
-2, 0, 1, 3
Suppose 13*g + 70 = 109. Let y(a) be the first derivative of 5 - 4/3*a**g - 2*a**2 + 0*a. Factor y(h).
-4*h*(h + 1)
Let r(o) be the second derivative of -o**8/1680 - o**7/210 - o**6/90 + 7*o**3/3 + 10*o. Let l(z) be the second derivative of r(z). Solve l(d) = 0.
-2, 0
Let f(q) = -8*q - 336. Let v be f(-42). Determine x so that -1/3*x**2 - 2/3*x**3 - 1/3*x**4 + v + 0*x = 0.
-1, 0
Let k(h) = -h**2 - 6*h + 9. Let p be k(-7). Factor 8*g**4 + 4 - 24*g**p + 2*g**3 + 16*g + 14*g + 8*g - 28*g.
2*(g - 1)**2*(g + 2)*(4*g + 1)
Let b be 7 - 2 - 45*10/150. Factor 6/11*a - 2/11*a**b + 0.
-2*a*(a - 3)/11
Factor 0 + 0*s + 4/5*s**3 + 32/5*s**2.
4*s**2*(s + 8)/5
Let j = -11129/2 - -5565. Factor -l + j*l**2 + 1/2.
(l - 1)**2/2
Suppose 25/4*f**4 + 286*f**2 + 36 - 80*f**3 - 192*f = 0. What is f?
2/5, 6
Let t(r) be the second derivative of -r**5/5 + 3*r**4/4 + 5*r**3/12 + 101*r. Determine y so that t(y) = 0.
-1/4, 0, 5/2
Factor 572*q**3 + 553*q**3 + 176*q**2 - 1936*q - 1129*q**3.
-4*q*(q - 22)**2
Suppose 0 = -5*l - 3*q + 50, 0 = -l + q - 19 + 21. Let 3/2*b**4 + 5/2 - 7*b + l*b**3 - 4*b**2 = 0. Calculate b.
-5, -1, 1/3, 1
Let q(k) be the second derivative of 3*k**5/20 + k**4/2 - k**3/2 - 3*k**2 - 18*k. Suppose q(d) = 0. Calculate d.
-2, -1, 1
Let q = 86/7 + -12. Suppose 4*z = -4 + 2 + 10. Factor 6/7*i - 6/7*i**z + 2/7*i**3 - q.
2*(i - 1)**3/7
Suppose x + 2*b = b + 1, -3*b = 4*x - 5. Determine l so that -15*l**x - l**3 + 4 + 12*l**2 + 2*l**3 - 2*l**3 = 0.
-2, 1
Let z be 5 - 9/(-12)*-4. Let h be 5 + 5/((-20)/12). Let 5*k**2 - 4*k + k + z*k**2 - 6*k**h = 0. What is k?
0, 3
Factor -1 + 1/2*h + 1/2*h**2.
(h - 1)*(h + 2)/2
Suppose 0 = -12*d - 124 - 140. Let i be (d/(-33))/(1/3). Solve 2/9*f**3 + 2/9*f + 0 + 4/9*f**i = 0 for f.
-1, 0
Let v be ((-10)/8 + 2)*(-1760)/(-1100). Factor 2/5 - 4/5*i**3 - 2/5*i**5 + 4/5*i**2 - 6/5*i**4 + v*i.
-2*(i - 1)*(i + 1)**4/5
Let j(s) = -3*s**3 - 9*s**2 + 23*s - 19. Let w(o) = 2*o**