c - 2*c + c**m.
c**3
Let b(v) be the second derivative of -v**7/84 - v**6/12 - v**5/20 + 7*v**4/12 + v**3/4 - 9*v**2/4 - 67*v. What is x in b(x) = 0?
-3, -1, 1
Let f = 13466 + -13463. Find i such that 0*i - 11/7*i**4 - 13/7*i**f - 2/7*i**2 + 0 = 0.
-1, -2/11, 0
Let f(w) be the second derivative of -w**5/90 + w**3/27 + 16*w. Factor f(u).
-2*u*(u - 1)*(u + 1)/9
Suppose 0 = x + 97*k - 102*k - 10, -2*x - 5*k = 10. Let 1/3*a**2 + x + 1/3*a - 1/3*a**3 - 1/3*a**4 = 0. What is a?
-1, 0, 1
Let 0 + 1/6*s**2 - 1/6*s**4 + 5*s**3 - 5*s = 0. What is s?
-1, 0, 1, 30
Determine n, given that 2/9*n**4 - 26/3*n**2 - 34/9*n + 76/9 + 34/9*n**3 = 0.
-19, -1, 1, 2
Let u(q) be the second derivative of q**6/30 + 9*q**5/20 + q**4/4 - 37*q**3/6 + 12*q**2 + 263*q + 2. Suppose u(k) = 0. Calculate k.
-8, -3, 1
Let f(z) = -7*z**4 - 5*z**3 - 4. Let d(y) = 14*y**4 + 10*y**3 + y**2 + 10. Let v(b) = 2*d(b) + 5*f(b). Factor v(u).
-u**2*(u + 1)*(7*u - 2)
Determine m, given that 1/3*m**3 + 11/3*m**2 - 1/3*m**5 - 11/3*m**4 + 0*m + 0 = 0.
-11, -1, 0, 1
Let x(u) = -u**2 + u - 3. Suppose -2*w - 3*w - 40 = 0. Let o(g) = -2*g**2 + 2*g - 4. Let z(a) = w*x(a) + 5*o(a). Let z(d) = 0. Calculate d.
-1, 2
Suppose -351 = -7*y - 2*y. Suppose -y*k + 114 = -120. Suppose -3/7*h**5 - 27/7*h - 48/7*h**2 - 6/7 - 18/7*h**4 - k*h**3 = 0. Calculate h.
-2, -1
Find r such that -14*r + 37 - 3*r**2 + 19 + 5*r**2 - 8*r = 0.
4, 7
Let m(d) = -5*d**3 + 4*d**2 + 19*d + 14. Let p(w) = -4*w**3 + 4*w**2 + 19*w + 14. Let n(o) = 3*m(o) - 4*p(o). Solve n(i) = 0 for i.
-2, -1, 7
Let w be (-25)/(-10)*192/80. Let o(r) be the first derivative of -11/4*r**4 - 8*r + 2/3*r**3 + 6/5*r**5 + w*r**2 - 1/6*r**6 - 13. Suppose o(y) = 0. Calculate y.
-1, 1, 2
Let q = 699 - 695. Factor 1/3*p**5 - 1/3*p**q + 0 + 0*p + 1/3*p**2 - 1/3*p**3.
p**2*(p - 1)**2*(p + 1)/3
Suppose 80*c + 319*c - 674 - 124 = 0. Suppose 1/8*f**c - 1/4*f + 1/8 = 0. What is f?
1
Let c(t) = -13*t**2 + 14*t + 3. Let a be c(1). Determine m so that 0 + 2/3*m**a - 8/3*m**2 + 2/9*m**3 - 8/9*m = 0.
-2, -1/3, 0, 2
Let l = -193 + 198. Let d(p) be the third derivative of 0*p**4 + 1/240*p**l + 7*p**2 + 0*p - 1/24*p**3 + 0. What is b in d(b) = 0?
-1, 1
Let m be (3 + -4)*0 - -148. Determine l so that -5*l**4 - m*l**2 + 15*l**3 - 148*l**2 + 296*l**2 - 20*l = 0.
-1, 0, 2
Let z(g) be the second derivative of -g**7/63 - g**6/45 + g**5/30 + g**4/18 + 2*g - 51. Find p, given that z(p) = 0.
-1, 0, 1
Let y(u) = u**4 + u**3 + u**2 - u + 1. Let v(q) = 8*q**4 - 4*q**2 - 4*q + 4. Let o(x) = -v(x) + 4*y(x). Solve o(w) = 0.
-1, 0, 2
Let i(s) be the second derivative of -s**7/56 + s**6/120 + s**5/16 - s**4/48 - s**3/12 + 2*s - 23. Solve i(c) = 0 for c.
-1, -2/3, 0, 1
Factor -7/4*g**2 - 1/4*g**5 + 13/4*g**3 - 5/4*g**4 + 0*g + 0.
-g**2*(g - 1)**2*(g + 7)/4
Let z(x) = -2*x**2 - 13*x + 5. Let c be z(-6). Suppose -v**5 + 12*v**4 + 10 + 17 - 28*v**2 - c + 4*v**3 - 3*v**5 = 0. Calculate v.
-1, 1, 2
Let t be (-18)/(-225)*3/18. Let u(g) be the second derivative of -1/210*g**7 - t*g**6 - 2*g + 0*g**4 + 0 + 0*g**3 + 0*g**2 - 1/100*g**5. Factor u(o).
-o**3*(o + 1)**2/5
Let k(o) be the third derivative of -4*o**2 + 0*o**3 + 1/84*o**4 + 0 + 1/210*o**5 + 0*o. Find g, given that k(g) = 0.
-1, 0
Let d(a) be the first derivative of 3*a**4 - 25*a**3/3 + 9*a**2/2 + 4*a + 127. Determine m so that d(m) = 0.
-1/4, 1, 4/3
What is m in 4/7*m + 1/7*m**3 + 4/7*m**2 + 0 = 0?
-2, 0
Let s(x) = -x - 3. Let b be s(-6). Suppose -b*w**3 + 5*w**2 - 20 + 15 + 15*w - 12*w**3 = 0. Calculate w.
-1, 1/3, 1
Let k(r) = -3*r**4 + 5*r**3 + 14*r**2 - 16*r - 10. Let g(j) = 3*j**4 - 6*j**3 - 15*j**2 + 18*j + 12. Let v(n) = -5*g(n) - 6*k(n). Factor v(s).
3*s*(s - 1)**2*(s + 2)
Let k(d) = 15*d**2 + 685*d - 1175. Let i(g) = -g**2 - 49*g + 84. Let b(u) = -85*i(u) - 6*k(u). Factor b(l).
-5*(l - 9)*(l - 2)
Determine l, given that -52*l**3 - 60 - 95*l**3 - 132*l**2 + 408*l - 519*l**2 = 0.
-5, 2/7
Let x(z) be the first derivative of -z**6/15 + 14*z**5/25 - z**4/2 - 14*z**3/15 + 6*z**2/5 - 605. Let x(v) = 0. What is v?
-1, 0, 1, 6
Suppose 6*d - 3 = 5*d. Let 17*w - w**3 - d*w**3 - 13*w = 0. Calculate w.
-1, 0, 1
Suppose 2*d + 10 = 4*g, 0*g + 5*g = 5*d + 5. Let i(n) be the third derivative of 0*n - 6*n**2 - 1/210*n**5 + 1/84*n**4 + 0 + 0*n**d. Factor i(o).
-2*o*(o - 1)/7
Let i(g) be the first derivative of 0*g - 1/30*g**6 + 0*g**3 - 1/10*g**4 - 5 + 0*g**2 - 3/25*g**5. Determine o so that i(o) = 0.
-2, -1, 0
Suppose 0 = -104*b + 78*b. Let -2/11*w**2 - 2/11*w**3 + 2/11*w**4 + 2/11*w + b = 0. What is w?
-1, 0, 1
Let l = -4 + 7. Suppose 2 = 4*k + 3*m - 12, -2*k - 3*m = -10. Find h such that 2 - h**3 + 2*h**5 - 3*h**l + 10*h**k - 14*h**2 + 2*h + 2*h**4 = 0.
-1, 1
Factor -6/13*c + 0*c**2 + 2/13*c**3 + 4/13.
2*(c - 1)**2*(c + 2)/13
Let c(p) be the second derivative of -9*p**5/10 + p**4 - 4*p**3/9 + 35*p**2/2 - 12*p. Let n(z) be the first derivative of c(z). Find w such that n(w) = 0.
2/9
Let v(n) be the second derivative of -n**4/3 - 14*n**3/3 - 20*n**2 + 7*n. Factor v(k).
-4*(k + 2)*(k + 5)
Let v(f) be the third derivative of -1/75*f**6 - 3*f - 1/25*f**5 + 0 + 2/175*f**7 + 0*f**3 + 1/168*f**8 - 14*f**2 - 1/60*f**4. Solve v(w) = 0.
-1, -1/5, 0, 1
Let p(q) be the third derivative of 0 - 9/56*q**4 + 2/245*q**7 - 50*q**2 + 0*q - 3/35*q**5 - 1/784*q**8 + 0*q**3 + 1/140*q**6. Solve p(b) = 0.
-1, 0, 3
Let f(c) be the second derivative of -c**5/35 - 11*c**4/21 - 38*c**3/21 - 18*c**2/7 + 10*c + 10. Solve f(g) = 0.
-9, -1
Let a = 68 - 66. Suppose 4*w = -5*g + 152 + a, 2*w + 3*g = 78. Factor -24*n**3 + w*n**2 + 45/2*n + 3.
-3*(n - 2)*(4*n + 1)**2/2
Suppose -60 + 60 = -11*p. Let m(t) be the second derivative of 1/90*t**6 - 1/60*t**5 + 1/126*t**7 + 0*t**2 + 0*t**3 - 2*t - 1/36*t**4 + p. Factor m(n).
n**2*(n - 1)*(n + 1)**2/3
Let c = -302/11 - -1543/55. Factor c*u**3 + 3/5*u**2 + 0 - 6/5*u.
3*u*(u - 1)*(u + 2)/5
Suppose -5*i + 8*g - 7*g = -35, 7 = i - 5*g. Suppose -h = -c + i, c + 3*h + 18 = -h. Factor 0 + 1/8*v + 1/8*v**c.
v*(v + 1)/8
Let f(g) be the third derivative of -4*g**2 + 0*g + 0 + 1/30*g**6 + 0*g**3 - 4/15*g**5 + 1/2*g**4. Factor f(b).
4*b*(b - 3)*(b - 1)
Let p(w) be the first derivative of -2/33*w**3 - 5 - 1/11*w**2 + 4/11*w. Factor p(c).
-2*(c - 1)*(c + 2)/11
Let i be (-2)/4*(-8 - -2). Let s be 5/i + (-6)/(-18). Determine q so that s*q**2 + 8 - 5*q + 4*q**3 + q - 5*q**2 - 5*q**2 = 0.
-1, 1, 2
Factor 0 - 1544/5*f**3 - 2/5*f**5 - 104/5*f**4 - 4992/5*f**2 - 4608/5*f.
-2*f*(f + 2)**2*(f + 24)**2/5
Suppose -381*j = -323*j. Factor -1/3*n**3 - 1/3*n + j + 2/3*n**2.
-n*(n - 1)**2/3
Let t(i) = -i**3 + 7*i**2 - 10*i + 7. Let x be t(6). Let k be 2/x - 350/(-85). Factor -2*w + 5*w**2 + 4*w + w**2 - k*w**2.
2*w*(w + 1)
Let f(s) be the third derivative of s**5/270 - 5*s**4/54 + 8*s**3/9 - 38*s**2 - 2*s. Determine t so that f(t) = 0.
4, 6
Let l(c) be the third derivative of -c**6/15 - c**5/3 + 29*c**4/6 - 44*c**3/3 - 35*c**2. Factor l(v).
-4*(v - 2)*(v - 1)*(2*v + 11)
Let o(x) = -x**4 + 320*x**3 + 3829*x**2 + 20491*x + 40949. Let k(q) = 64*q**3 + 766*q**2 + 4098*q + 8190. Let u(d) = 11*k(d) - 2*o(d). Factor u(j).
2*(j + 8)**4
Suppose -h + 6 = h. Suppose -2*g = -h*g. Factor g*p**4 + p**5 - 3*p**2 + 3*p**3 + 2*p**2 - 3*p**4.
p**2*(p - 1)**3
Suppose m + 3*r = 4*r + 8, -3*r - 15 = 0. Suppose 32 = 4*y + 5*j, -3*j + 7 = -3*y + j. Determine b, given that -2*b**3 - b**m + 6*b - y*b**2 + 0*b = 0.
-2, 0, 1
Let t(g) be the first derivative of g**3 - 33*g**2 - 69*g + 167. Find x such that t(x) = 0.
-1, 23
Let f(v) be the third derivative of -v**7/105 - v**6/60 - 214*v**2. Factor f(c).
-2*c**3*(c + 1)
Let g(l) be the second derivative of -l**7/147 - l**6/5 + 11*l**5/35 - l - 41. Factor g(r).
-2*r**3*(r - 1)*(r + 22)/7
Determine z, given that 4 + 3*z**3 + 1/3*z**4 - 5/3*z**2 - 16/3*z - 1/3*z**5 = 0.
-2, 1, 3
Let u(t) be the third derivative of t**8/2688 - t**7/240 + 13*t**6/960 + t**5/160 - 3*t**4/32 + 54*t**2. Find c such that u(c) = 0.
-1, 0, 2, 3
Factor -2/3*q**3 + 0 + 4/3*q - 2/3*q**2.
-2*q*(q - 1)*(q + 2)/3
Let h(c) be the second derivative of 0 + 4*c + 1/120*c**6 + 0*c**2 - 1/4*c**4 + 1/40*c**5 - 11/6*c**3. Let a(m) be the second derivative of h(m). Factor a(f).
3*(f - 1)*(f + 2)
Let a(p) = -2*p**4 - p**2 - 2*p**3 - p - 4*p**4 + 3*p**4 + 3*p**3. Let c(h) = h**3 - h**2 - h. 