 1/4, 1, 4
Suppose 64/5 + 2*f**3 + 16/5*f**4 - 8/5*f - 16*f**2 - 2/5*f**5 = 0. What is f?
-2, -1, 1, 2, 8
Let t(c) be the second derivative of c**6/160 + 7*c**5/80 - c**4/4 - 13*c**2 + 7*c. Let y(m) be the first derivative of t(m). Determine v so that y(v) = 0.
-8, 0, 1
Let u(a) be the third derivative of -a**6/6 + 7*a**5/15 + 4*a**4/3 - 8*a**3/3 - 37*a**2. Determine w so that u(w) = 0.
-1, 2/5, 2
Let j(g) = 3*g**2 - 11*g - 16. Let q(x) = 7*x**2 - 21*x - 40. Let k(n) = 5*j(n) - 2*q(n). Factor k(w).
w*(w - 13)
Let j = -1070 - -22478/21. Let y(v) be the first derivative of -12/35*v**5 + 4/7*v + j*v**3 - 3 - 1/2*v**4 + v**2. What is i in y(i) = 0?
-1, -2/3, -1/2, 1
Let z be 9/6*2 - 1. Suppose 5*q + 1 - 7 = -4*c, -c = z*q. Find a such that -1/2*a**2 + 1/2*a**c + 1/2*a + 0 - 1/2*a**3 = 0.
-1, 0, 1
Let q(m) = m**3 + 97*m**2 + 96*m + 3. Let c be q(-96). Factor -5/2*t - 1/6*t**c - 3/2 - 7/6*t**2.
-(t + 1)*(t + 3)**2/6
Suppose -8*o**2 - 10*o + 21*o - 6*o + 6 - 6*o**3 + o**5 + 2*o**4 = 0. Calculate o.
-3, -1, 1, 2
Let q(k) = -11*k**3 - 2*k**2 - 13*k - 13. Let u(i) = -i**2 + i - 2*i - 5*i**3 - 6 - 5*i. Let d be 5 - (80/(-8) + 9). Let s(l) = d*q(l) - 13*u(l). Factor s(o).
-o**2*(o - 1)
Let l(q) be the third derivative of -q**6/420 - 3*q**5/70 + 5*q**4/42 - 2*q**2 - 5*q. Suppose l(p) = 0. Calculate p.
-10, 0, 1
Suppose -15 - 10 = 410*g - 25. Determine t so that g*t - 2*t**4 - 2*t**3 + 0 - 1/2*t**2 = 0.
-1/2, 0
Factor 0 - 4/3*i - 2/3*i**4 + 8/3*i**2 + 1/3*i**5 - i**3.
i*(i - 2)*(i - 1)**2*(i + 2)/3
Suppose -i - 5*p = 20, 4*i - p = -3*p + 10. Find t such that 3*t + 4*t**3 - 6*t + t**i - 2*t**5 + 0 + 2*t**2 - 2 = 0.
-1, 1, 2
Let i(t) be the third derivative of -t**7/2205 - t**6/1260 + t**5/105 + 233*t**2 + 2*t. Factor i(w).
-2*w**2*(w - 2)*(w + 3)/21
Let v(k) be the first derivative of k**5/60 - k**4 + 24*k**3 - 29*k**2/2 + 11. Let f(i) be the second derivative of v(i). Solve f(g) = 0.
12
Factor -5/2*x + 1/2*x**2 - 3.
(x - 6)*(x + 1)/2
Let d(f) = f**4 + 13*f**3 - 8*f**2 - 20*f. Let p(v) = 4*v**3 - 3*v**2 - 7*v. Suppose 5*z = z - 12. Let s(u) = z*d(u) + 8*p(u). Let s(j) = 0. What is j?
-2, -1, 0, 2/3
Let d = 262 + -260. Let x(l) be the first derivative of 0*l + 1 + 0*l**3 - 3/2*l**d + 3/4*l**4. Suppose x(y) = 0. Calculate y.
-1, 0, 1
Let i = 14861/9 - 1651. Determine c, given that i*c + 0 - 2/9*c**2 = 0.
0, 1
Let u = -31639/7 + 4520. Solve 12/7*n**2 - u*n**3 - 48/7*n + 64/7 = 0 for n.
4
Let b = -919 + 921. Let y(i) be the second derivative of 1/10*i**3 + 1/20*i**4 - 3*i + 1/10*i**b + 0 + 1/100*i**5. What is q in y(q) = 0?
-1
Let p be 410/60 + (-7)/(42/(-4)). Find o, given that 3/4*o**2 + 75/4 - p*o = 0.
5
Let v(p) be the first derivative of p**4/42 - p**3/7 - 2*p + 12. Let y(m) be the first derivative of v(m). Factor y(c).
2*c*(c - 3)/7
Let o be (38 + 0)*1349/38. Suppose 4*v = 3*c - o, 2*c - 7*c + 2250 = -5*v. Determine h, given that c - 451 - 5*h**5 = 0.
0
Let s(u) be the third derivative of -27/35*u**7 - 9/5*u**6 + 4*u**5 + 14*u**4 + 0*u + 27/112*u**8 + 16*u**3 - 20*u**2 + 0. Let s(w) = 0. Calculate w.
-2/3, 2
Solve 2/5*o**3 + 44/5*o + 0 - 46/5*o**2 = 0 for o.
0, 1, 22
Find y such that -50*y - 5808 + 113*y + 84*y - 3*y**2 + 117*y = 0.
44
Let k(c) = -18*c + 30. Let g(u) = u**2 - 19*u + 26. Let v(m) = -3*g(m) + 2*k(m). Factor v(y).
-3*(y - 6)*(y - 1)
Suppose 94*u + 142 = 95*u. Let x = u + -139. Factor 0 + 12/7*b**2 + 0*b - 3/7*b**x.
-3*b**2*(b - 4)/7
Let g(h) = -4*h + 12. Let m be g(3). Let x(v) = 3*v + 2. Let p be x(m). Let 2/3*z**p + 2/3*z + 0 = 0. Calculate z.
-1, 0
Let o be -1*(3 + 0/(-3)) - -4. Let h(f) = f**2 - 3. Let s(x) = x + 1. Let w(g) = o*h(g) + s(g). Solve w(q) = 0 for q.
-2, 1
Let t(o) = -5*o**2 + 38*o - 27. Let l(i) = -14*i**2 + 112*i - 82. Let n(y) = 3*l(y) - 8*t(y). Factor n(d).
-2*(d - 15)*(d - 1)
Suppose 514 - 506 = 4*y. Factor 4/3*f**5 + 0 - 4/3*f**3 - 4/3*f**4 + 4/3*f**y + 0*f.
4*f**2*(f - 1)**2*(f + 1)/3
Let a(v) = -10*v**2 + 73*v - 56. Let l(r) = 3*r**2 - 24*r + 19. Let x(j) = 6*a(j) + 21*l(j). Find m such that x(m) = 0.
1, 21
Let p be 136/(-12) + 12 - 8/(-6). Factor -4/3 - 4/3*q**3 + 2*q**p + 2*q.
-2*(q - 2)*(q + 1)*(2*q - 1)/3
Let t(k) = 2*k**3 - 24*k**2 - 90*k - 4. Let y(c) = -3*c**3 + 23*c**2 + 88*c + 5. Let h(u) = -5*t(u) - 4*y(u). Find r, given that h(r) = 0.
-7, 0
Let l(o) be the first derivative of 2*o**3 - 3/5*o**5 + 21 + 24*o - 18*o**2 + 9/4*o**4. What is i in l(i) = 0?
-2, 1, 2
Let o(w) = -27*w + 108. Let x be o(4). Determine h so that -8/3*h**2 + x*h + 0 + 4/3*h**3 = 0.
0, 2
Suppose -11*o + 5 = -72. Suppose -2 = -5*g - d + 16, -2*g = -5*d + 9. Suppose -12*x**3 + 20*x - 8*x + x**2 + 9*x**4 - g - o*x**2 = 0. What is x?
-1, 1/3, 1
Let l be 30 + -26 + (0 - 0 - 8). Let i be l/(-6)*(-114)/(-494). Determine h, given that -4/13*h**4 + 0*h**2 + i*h**3 + 0*h + 0 - 6/13*h**5 = 0.
-1, 0, 1/3
Let q(m) be the second derivative of m**4/84 + m**3/3 - 15*m**2/14 + 360*m. Suppose q(y) = 0. Calculate y.
-15, 1
Let q be ((-2)/19)/(12/(-456)). Factor 0*r + 0 - 1/7*r**q - 1/7*r**2 - 2/7*r**3.
-r**2*(r + 1)**2/7
Let d(y) be the second derivative of y**7/42 + y**6/6 + y**5/3 - 2*y**2 - y. Let h(v) be the first derivative of d(v). Factor h(a).
5*a**2*(a + 2)**2
Let s = -421 - -424. Let a(h) be the third derivative of 0 - 1/120*h**5 + 0*h + 4*h**2 - 1/48*h**4 + 1/6*h**s. Factor a(z).
-(z - 1)*(z + 2)/2
Let z = -1 + 3. Let v(l) be the second derivative of 0*l**3 + 0*l**2 - 1/60*l**5 + 0 + 1/126*l**7 - 1/90*l**6 + z*l + 1/36*l**4. What is g in v(g) = 0?
-1, 0, 1
Let s(i) be the first derivative of -4/5*i**2 + 1/5*i**3 - 1/25*i**5 + 1/10*i**4 - 1 + 4/5*i. Let s(q) = 0. What is q?
-2, 1, 2
Find r, given that -38/5*r**2 + 0 - 10*r**3 - 4/5*r - 16/5*r**4 = 0.
-2, -1, -1/8, 0
Let z be -2*2/(-6)*(-99)/(-22). Find r such that 9*r**2 + 22*r - 16*r + 3*r**z + 0*r**3 = 0.
-2, -1, 0
Let k(i) be the third derivative of i**5/720 - 7*i**4/72 - 17*i**2 - i. Determine y, given that k(y) = 0.
0, 28
Suppose 241359 - 241327 = 16*t. Factor 0 - 2/7*s**3 + 2/7*s**4 + 2/21*s**t - 2/21*s**5 + 0*s.
-2*s**2*(s - 1)**3/21
Let n(i) = -36*i**5 + 1130*i**4 + 430*i**3 + 60*i**2 - 14*i + 14. Let a(k) = -k**5 + 2*k**3 - k**2 + k - 1. Let s(p) = 28*a(p) + 2*n(p). Factor s(r).
-4*r**2*(r - 23)*(5*r + 1)**2
Let l(x) be the first derivative of x**6/30 - x**5/20 - x**4/4 + x**3/6 + x**2 - 7*x - 13. Let s(y) be the first derivative of l(y). Factor s(u).
(u - 2)*(u - 1)*(u + 1)**2
Suppose 2/13*y**3 - 212/13*y**2 + 5618/13*y + 0 = 0. What is y?
0, 53
Suppose 15/2*s**2 - 10 - 40*s - 10*s**4 + 55/2*s**3 = 0. Calculate s.
-1, -1/4, 2
Let y(n) = -n**3 + 36*n**2 + 45*n - 78. Let p(h) = 15*h**3 - 576*h**2 - 720*h + 1248. Let b(l) = -2*p(l) - 33*y(l). Factor b(u).
3*(u - 13)*(u - 1)*(u + 2)
Let k be (-80)/1400 + (-2044)/(-1470). Factor -20*h**2 - 500/3 + k*h**3 + 100*h.
4*(h - 5)**3/3
Let k(g) be the third derivative of -4/3*g**3 + 0*g - 1/120*g**6 + 12*g**2 + 0 + 1/30*g**5 + 1/6*g**4. Factor k(t).
-(t - 2)**2*(t + 2)
What is p in 198*p**2 - 69*p - 653 + 7*p**3 + 115*p**2 + 745 - 343*p = 0?
-46, 2/7, 1
Suppose -9*i + 5*i + 16 = o, 4*o + 20 = 5*i. Let w(y) be the third derivative of 1/48*y**4 + 0*y**3 + o - 1/30*y**5 + 5*y**2 + 0*y. Find z, given that w(z) = 0.
0, 1/4
Let 87/2*f - 3/2*f**3 - 45/2 - 39/2*f**2 = 0. What is f?
-15, 1
Factor 1/2*k - 1/2*k**3 + k**2 - 1.
-(k - 2)*(k - 1)*(k + 1)/2
Let c(l) be the first derivative of l**4/14 - 46*l**3/7 + 1587*l**2/7 - 24334*l/7 - 89. Factor c(k).
2*(k - 23)**3/7
Let l(o) = -2*o - 34. Let k be l(11). Let c = k + 113/2. Factor 0 - 1/2*w**2 - c*w.
-w*(w + 1)/2
Let l(s) = s**2 + 6*s + 5. Let j(p) be the second derivative of -11/2*p**2 - 2*p**3 + 0 - 3*p - 1/6*p**4. Let x(z) = 4*j(z) + 7*l(z). Factor x(w).
-(w + 3)**2
Suppose -7*l - 70 + 91 = 0. Let 2/7*s**l + 8/7*s**2 - 8/7 - 2/7*s = 0. Calculate s.
-4, -1, 1
Let k(p) be the second derivative of p**8/420 + p**7/630 - 23*p**4/12 + 23*p. Let q(o) be the third derivative of k(o). Factor q(u).
4*u**2*(4*u + 1)
Suppose 26 = 2*g - 3*v, -4*g + 3*v - 7*v + 12 = 0. Let q = 9 - g. Factor 2*k - 2 - k + 0 + k**q.
(k - 1)*(k + 2)
Let l(o) = -o**3 + 11*o**2 - 25*o + 33. Let q(y) = -5*y**3 + 65*y**2 - 150*y + 195. Let s(v) = -35*l(v) + 6*q(v). Factor s(n).
5*(n - 1)**2*(n + 3)
Let y(f) be the first derivative of 18 + 1/