- 9/10*c**5 + 4*c**2 - 16/3*c**3 - 2*c. Find r such that f(r) = 0.
2/3, 1
Let j be (2/4)/(2/8). Find v such that 4 - 4*v - 4 + 8*v**2 - 6*v**j = 0.
0, 2
Suppose b = -d + 8, b - d = -0*d. Suppose 5*w**2 - w**4 + b*w**4 + w**5 + w**3 - 4*w**2 + 2*w**3 = 0. Calculate w.
-1, 0
What is a in 0*a + 4/7*a**3 + 0 + 0*a**2 + 4/7*a**4 = 0?
-1, 0
Let a = 21/11 - 41/33. What is q in 0 + 1/3*q**2 + 2/3*q**3 - 1/3*q**4 - a*q = 0?
-1, 0, 1, 2
Suppose -5*b = -b + 20. Let h be (5 + b)/(-1 - 1). Factor h*w**4 - 9*w**2 + 12 - 2*w**4 + 12*w**3 + 2*w - 14*w - w**4.
-3*(w - 2)**2*(w - 1)*(w + 1)
Let c = -4 + 9. Suppose -3*m - 2*s = -c*s - 21, -s - 4 = 0. Factor -1/4*p**m + 0*p**2 + 1/4*p + 0.
-p*(p - 1)*(p + 1)/4
Let y(q) = -3*q + 9. Let c be y(4). Let i(d) = d**2 + 3*d + 5. Let s(u) = 2*u**2 - 4*u**2 - 4 - 2 - 4*u. Let g(p) = c*s(p) - 4*i(p). Factor g(o).
2*(o - 1)*(o + 1)
Let s(q) = -10*q**2 - 8*q - 2. Let c(u) = u**3 - 21*u**2 - 15*u - 3. Let h(x) = -2*c(x) + 5*s(x). Determine r, given that h(r) = 0.
-2, -1
Let d(n) be the second derivative of n**7/70 + n**6/10 + n**5/4 + n**4/4 + 5*n**2/2 + 4*n. Let c(k) be the first derivative of d(k). Let c(h) = 0. What is h?
-2, -1, 0
Suppose -4*h + 10 = -10. Suppose -5 = -h*a + 5. Factor o**a - o + 1 - o**3 - 2*o + 2*o**2.
-(o - 1)**3
Let v(o) = 2 - 4*o**2 + 3*o**2 + 3*o + 5*o**2 - 2*o**2. Let u be v(-2). Factor 0*z + 1/4*z**u + 0*z**3 - 1/4*z**2 + 0.
z**2*(z - 1)*(z + 1)/4
Suppose 6*k + 3 = 9*k, 2*s = -k + 5. Suppose 1 - 2*c**s + 5*c**3 + c**4 - 5/2*c**5 - 5/2*c = 0. Calculate c.
-1, 2/5, 1
Let b(d) = d**2 + 8*d + 7. Let x = 1 + -8. Let l be b(x). Factor -2/5*r**3 + l*r**4 + 0*r**2 + 2/5*r**5 + 0*r + 0.
2*r**3*(r - 1)*(r + 1)/5
Let b = -8 + 8. Let k be b*2*(-3)/(-18). Let k + 0*x + 1/4*x**5 + 1/2*x**4 + 0*x**2 + 1/4*x**3 = 0. Calculate x.
-1, 0
Let y(q) be the second derivative of q**5/8 - 3*q**4/16 - q**3/2 - q**2/2 + 2*q. Let s(r) be the first derivative of y(r). Determine z, given that s(z) = 0.
-2/5, 1
Let w = 230 + -457/2. Factor 1/2*b**2 + 1/2*b**5 + 0*b + 0 + w*b**4 + 3/2*b**3.
b**2*(b + 1)**3/2
Suppose 0 = 3*z - 3, c = 5*z + 128 + 29. Factor 30*a**2 + 23*a**2 - 25*a**3 + a**3 + 55*a**2 + 81 - c*a.
-3*(2*a - 3)**3
Let g(p) be the third derivative of -p**5/30 + p**4/3 - p**3 - 8*p**2. Find r, given that g(r) = 0.
1, 3
Let v(k) be the second derivative of -7*k**6/15 - k**5/5 + 7*k**4/6 + 2*k**3/3 - 40*k + 2. Let v(p) = 0. Calculate p.
-1, -2/7, 0, 1
Let r be (-21)/(-28)*7/(63/6). Factor -r*y**2 + 3/2*y - 1.
-(y - 2)*(y - 1)/2
Suppose 0 = j + 4*x - 3, -4 = j - 3*x - 7. Find g, given that 2/5*g**j - 6/5*g + 0*g**2 + 4/5 = 0.
-2, 1
Let u = 56 + -52. What is n in 2/11*n**u - 2/11*n**2 - 2/11*n**3 + 2/11*n + 0 = 0?
-1, 0, 1
Suppose 2 = -s + 5. Suppose -9 = s*m + 5*d, -2*m - 3*d - 2 = -d. Let -2*c**m + c**2 + 0*c**2 = 0. What is c?
0
Factor -4*b - 16 + 6 - 180*b**3 - b + 140*b**2.
-5*(2*b - 1)**2*(9*b + 2)
Suppose 31 = -5*i + 5*q + 76, 5*i - 3*q - 51 = 0. Factor 100*r**3 + 236*r**5 + 378*r**4 + 108*r**2 + 227*r**3 - 89*r**5 + i*r.
3*r*(r + 1)**2*(7*r + 2)**2
Let z(k) be the first derivative of -k**3 - 63*k**2 - 1323*k + 68. Determine i, given that z(i) = 0.
-21
Let g(x) = 9*x**3 + 21*x**2 + 30*x - 42. Let s(o) = -26*o**3 - 63*o**2 - 89*o + 127. Let l(n) = 17*g(n) + 6*s(n). Factor l(j).
-3*(j - 1)*(j + 4)**2
Factor 4/7*s - 2/7*s**3 + 0 - 2/7*s**2.
-2*s*(s - 1)*(s + 2)/7
Let c be (-6)/(-15) - (-4 - -4). Factor 6/5*m**3 - 4/5*m**2 + 0 - c*m.
2*m*(m - 1)*(3*m + 1)/5
Let u(b) = 14*b**3 - 24*b**2 - 8*b + 5. Let p(y) = -14*y**3 + 24*y**2 + 8*y - 6. Let c(i) = -5*p(i) - 6*u(i). Factor c(f).
-2*f*(f - 2)*(7*f + 2)
Let a(b) be the first derivative of b**4/2 + 44*b**3/9 - 47*b**2/9 + 16*b/9 + 5. Determine w, given that a(w) = 0.
-8, 1/3
Suppose -3*d - 2*d + 20 = 0. Determine f, given that 0*f**d - 15*f**3 + 15*f**5 + 9*f**2 - 6*f**4 - 3*f**2 = 0.
-1, 0, 2/5, 1
Let t(a) = a + 5. Let w be t(7). Factor 2*d**4 + d**5 + 12*d**3 - d - w*d**3 - 2*d**2.
d*(d - 1)*(d + 1)**3
Let d(k) be the second derivative of -4*k + 0 + 2/21*k**3 - 1/12*k**4 + 1/42*k**5 - 2*k**2. Let g(a) be the first derivative of d(a). Factor g(u).
2*(u - 1)*(5*u - 2)/7
Suppose -5*x - 2*r + 17 = 0, -2*x - 4*r = -r + 2. Let -15/4*i**4 + 0 + 3/2*i**x + 0*i - 3/4*i**2 + 3*i**3 = 0. Calculate i.
0, 1/2, 1
Let y = 34 - 24. Let a be y - 12 - 7/(-3). Solve a*g**4 + 0*g + 0 + 2/3*g**3 + 1/3*g**2 = 0 for g.
-1, 0
Let r(g) be the first derivative of -g**6/420 - g**5/35 - g**4/7 - 8*g**3/21 - g**2/2 - 2. Let u(n) be the second derivative of r(n). Let u(b) = 0. What is b?
-2
Let o(i) be the third derivative of -i**8/672 - i**7/105 + 13*i**6/120 - 11*i**5/30 + 31*i**4/48 - 2*i**3/3 - 24*i**2. Find h, given that o(h) = 0.
-8, 1
Let q(t) be the first derivative of t**4/2 + 2*t**3/3 - t**2 - 2*t + 5. What is w in q(w) = 0?
-1, 1
Let 0*w + 0 - 1/8*w**5 + 0*w**2 + 0*w**3 - 1/8*w**4 = 0. Calculate w.
-1, 0
Let u(k) = k**3 - k**2 - 3*k + 3. Suppose o = -3*o + 8. Let z(j) = j - 1. Let l(h) = o*z(h) + u(h). Find n such that l(n) = 0.
-1, 1
Suppose q + 9 = -12. Let v = -18 - q. Suppose -8/3*o**v + 2/3 - 8/3*o + 4*o**2 + 2/3*o**4 = 0. What is o?
1
Suppose -18 = -5*w + 4*c, w = c - 1 + 5. Let f = -69/5 - -15. Solve -f*j**w - 4/5 + 2*j = 0.
2/3, 1
Let -2/7*g**2 - 2/7*g + 0 = 0. What is g?
-1, 0
Let t(p) be the second derivative of -p**4/18 - p**3/3 - 2*p**2/3 + 6*p. Factor t(k).
-2*(k + 1)*(k + 2)/3
Let l(p) be the third derivative of -p**6/1080 - p**5/180 + 2*p**3/3 - p**2. Let d(u) be the first derivative of l(u). Factor d(v).
-v*(v + 2)/3
Let x = -34 + 69/2. Factor 0 - x*r**3 - 1/2*r**2 + r.
-r*(r - 1)*(r + 2)/2
Let r(m) be the second derivative of -5/27*m**3 + 3*m - 2/9*m**2 - 1/27*m**4 + 0. Factor r(n).
-2*(n + 2)*(2*n + 1)/9
Let s(o) be the third derivative of o**7/210 + o**6/60 - 4*o**2. Solve s(b) = 0.
-2, 0
Let z be 0 - 3 - (46 + -52). Suppose 1/6*w**z + 0 - 1/6*w + 0*w**2 = 0. Calculate w.
-1, 0, 1
Suppose -2*q + 6 = 16, 5*q + 22 = -k. Let r(a) be the first derivative of -4/7*a + 2/21*a**k + 1/7*a**2 - 1. Determine b so that r(b) = 0.
-2, 1
Let m = 17 - 18. Let g be ((4 - 3)*m)/(-4). Factor -1/2*h + 1/4 + g*h**2.
(h - 1)**2/4
Suppose 6*x - 5*x - 2 = 0. Let d(z) be the second derivative of 1/60*z**6 + x*z + 0*z**3 + 0*z**2 - 1/20*z**5 + 0 + 1/24*z**4. Let d(q) = 0. What is q?
0, 1
Let v(l) be the third derivative of -l**5/12 + 5*l**4/24 + 5*l**3/3 - 32*l**2. Factor v(b).
-5*(b - 2)*(b + 1)
Let s = 190 + -190. Factor -3/5*y**2 + 0 + s*y.
-3*y**2/5
Let w be (0 - (-1)/(-2))*-6. Suppose w*u - 1 = y - 0*y, 3*u + 9 = 3*y. Factor 0 + 1/4*d**3 + 0*d + 1/4*d**u.
d**2*(d + 1)/4
Let x be -1 + 2/2*27. Let n be (-6)/10 + x/10. Factor 2*c + 2 + 2*c + n*c**2 + 0*c**2.
2*(c + 1)**2
Let x(q) be the first derivative of 0*q**2 - 1/4*q**4 - 4/25*q**5 - 5 - 1/15*q**3 + 0*q. Let x(n) = 0. Calculate n.
-1, -1/4, 0
Let j(v) be the third derivative of v**7/70 + v**6/40 + 14*v**2. Factor j(c).
3*c**3*(c + 1)
Let p(k) be the first derivative of 4*k + 100/3*k**3 + 20*k**2 - 2. Let p(x) = 0. What is x?
-1/5
Let m(k) be the first derivative of -k**3/6 - k**2/2 + 17. Factor m(g).
-g*(g + 2)/2
Let t be 7/3 - (-4)/(-12). Find o, given that -11*o - 6*o**3 + 0*o**4 + 6*o**2 + 9*o + t*o**4 = 0.
0, 1
Let q(j) be the first derivative of -j**6/18 - j**5/3 - 3*j**4/4 - 7*j**3/9 - j**2/3 - 21. Determine h so that q(h) = 0.
-2, -1, 0
Let d(x) be the first derivative of 5 + 2*x - 2*x**2 + 2/3*x**3. Factor d(n).
2*(n - 1)**2
Let w(n) be the first derivative of n**6/8 - 7*n**5/10 + 19*n**4/16 - n**3/3 - n**2/2 + 2. Suppose w(c) = 0. What is c?
-1/3, 0, 1, 2
Factor -f - 11*f**2 - 3*f + 89*f**3 + 8 + 3*f**2 - 85*f**3.
4*(f - 2)*(f - 1)*(f + 1)
Find v such that 0*v**4 + 1/8*v + 0 - 1/4*v**3 + 1/8*v**5 + 0*v**2 = 0.
-1, 0, 1
Find l, given that 8 - 20*l + 10*l**3 - 2*l**5 + 8*l**2 - 6*l**2 + 4*l - 2*l**4 = 0.
-2, 1
Let w(j) be the first derivative of -3/4*j**4 + 6/5*j**5 + 0*j + 2 + 0*j**3 - 1/2*j**6 + 0*j**2. Factor w(n).
-3*n**3*(n - 1)**2
Let v(s) be the third derivative of -s**8/2352 - s**7/1470 + s**6/168 + s**5/420 - s**4/21 + 2*s**3/21 - 16*s**2. What is d in v(d) = 0?
-2, 1
Suppose 0*a = -2*a + 3*o + 12, 5*a + 16 = -4*o. Let x(f) be the second derivative of 2/9*f**3 + 3*f - 1/36*f**4 - 2/3*f**2 + a. Factor x(i).
-(i - 2)**2/3
