s j?
-1, 0
Let m(q) be the first derivative of -q**4/22 - 2*q**3/33 + 4*q**2/11 + 8*q/11 - 463. Suppose m(v) = 0. Calculate v.
-2, -1, 2
Let r = -244 - -247. Let l(b) be the second derivative of -1/3*b**4 + 0*b**2 + 2/3*b**r + 0 + b. Factor l(o).
-4*o*(o - 1)
Let l(v) = 6*v**3 + v + 2. Let p(i) = -i**4 - 55*i**3 - 31*i**2 + 45*i - 12. Let j(h) = 6*l(h) + p(h). Suppose j(d) = 0. What is d?
-17, -3, 0, 1
Suppose 18/5*n + 0 - 2/5*n**2 = 0. What is n?
0, 9
Factor 16 - 162*v**2 - 16 + 167*v**2 - 15*v.
5*v*(v - 3)
Let c(m) be the second derivative of -m**4/24 - m**3/2 - 2*m**2 + 520*m. What is h in c(h) = 0?
-4, -2
What is x in 4/5*x**3 - 2/5*x**5 + 8/5*x**2 - 4/5 - 4/5*x**4 - 2/5*x = 0?
-2, -1, 1
Let q be -3*(1 - (3 - 0)). Let i(y) be the first derivative of -1 - y**4 - 3 - 6*y**2 + 4*y + 4*y**3 - 8 + q. Factor i(j).
-4*(j - 1)**3
Let l be (-4 - (-7 - -3))/2. Let f be 4*(-9)/(-12) - l. Find o, given that 1/2*o - 5/4*o**2 - 7/4*o**f + 0 = 0.
-1, 0, 2/7
Let u = 2/15779 - -63102/110453. Factor -6*m - 9/7 - u*m**3 - 25/7*m**2.
-(m + 3)**2*(4*m + 1)/7
Let l(w) = -w. Let z(k) = -13*k**2 - k + 7. Let b(p) = 5*l(p) + z(p). Let c = 119 - 124. Let u(q) = 9*q**2 + 4*q - 5. Let i(h) = c*b(h) - 7*u(h). Factor i(f).
2*f*(f + 1)
Let a = -9425/2 - -4713. Factor -1/2*g**2 - a*g**3 + 1/6*g**4 - 1 + 11/6*g.
(g - 3)*(g - 1)**2*(g + 2)/6
Let h = 2660 + -106397/40. Let a(k) be the second derivative of 0 + 1/40*k**6 - 1/4*k**3 - 15*k - 3/8*k**2 + h*k**5 + 0*k**4. Determine q so that a(q) = 0.
-1, 1
Let w(g) = -g**2 - 7*g - 6. Let x be w(-2). Let l(t) be the second derivative of 3*t**2 - 1/2*t**4 + 0 + 3/20*t**5 - 1/2*t**3 + x*t. Factor l(s).
3*(s - 2)*(s - 1)*(s + 1)
Let i = 79 - 69. Factor -5*s**4 + s + 25*s**3 + 4*s + i*s - 35*s**2 + 0*s.
-5*s*(s - 3)*(s - 1)**2
Let p(n) be the second derivative of -n**4/6 - 310*n**3/3 - 24025*n**2 - 4*n - 73. Find s, given that p(s) = 0.
-155
Let m(h) be the second derivative of h**6/210 - 3*h**5/70 - 5*h**4/28 - 4*h**3/21 - h - 18. Let m(u) = 0. What is u?
-1, 0, 8
Let f(z) = -z**3 + z**2 - 4*z. Let s(j) = -6*j**3 + 6*j**2 - 21*j. Let k = 14 - 9. Suppose k*b - 7*b - 66 = 0. Let t(d) = b*f(d) + 6*s(d). Factor t(v).
-3*v*(v - 2)*(v + 1)
Let m be (-9)/(-12) + (-435)/(-348). Factor 0 + 2/3*h**4 + 0*h - m*h**3 + 4/3*h**2.
2*h**2*(h - 2)*(h - 1)/3
Let v be ((-17)/(102/9))/((-6)/8). Let o(i) be the second derivative of 0 + 2/3*i**3 - i**v - 1/6*i**4 - i. Factor o(k).
-2*(k - 1)**2
Suppose -z = 75 + 6. Let q = 83 + z. Factor -2/7 + 2/7*k**q - 2/7*k**3 + 2/7*k.
-2*(k - 1)**2*(k + 1)/7
Factor 0 - n**4 + 0*n - 2/7*n**2 - 9/7*n**3.
-n**2*(n + 1)*(7*n + 2)/7
Let w(y) be the second derivative of 2/15*y**6 - 4*y**4 - 2/5*y**5 - 10*y**2 + 13*y + 0 - 28/3*y**3. Factor w(i).
4*(i - 5)*(i + 1)**3
Let r(s) be the first derivative of -s**5/15 + 5*s**4/12 - 2*s**3/3 - 2*s**2/3 + 8*s/3 + 1029. Determine h so that r(h) = 0.
-1, 2
Let c be -1*2*(110/(-20) - -3). Let f(t) be the second derivative of 0*t**2 - t + 1/5*t**c - 1/3*t**4 + 0 + 0*t**3. Factor f(h).
4*h**2*(h - 1)
Let z(b) be the first derivative of -b**6/2160 + b**5/360 + b**4/48 + 8*b**3/3 + 13. Let l(y) be the third derivative of z(y). Let l(k) = 0. What is k?
-1, 3
Suppose -2*d = -5*d - 4*x + 22, 2*x - 8 = 0. Let s be d/4 + (-45)/(-10). What is n in 0*n**4 - n**4 - 2*n**4 + 4*n**s + 5*n**5 = 0?
0, 1/3
Suppose 4*z + 16 = -5*d + 67, 0 = -3*z - 3*d + 36. Let p(l) = l**2 - 8*l - 5. Let v be p(z). Factor r**3 - 6*r**2 - 2*r**4 + 2*r + 0*r**v + 5*r**3.
-2*r*(r - 1)**3
Let k = -78 - 6. Let o = k + 169/2. Factor 0 + 0*w + w**3 + o*w**2 + 1/2*w**4.
w**2*(w + 1)**2/2
Let y(s) = 285*s - 3. Let d(q) = q**2 + 2*q + 1. Let k(o) = -3*d(o) - y(o). Factor k(m).
-3*m*(m + 97)
Let k(f) be the first derivative of f**5/20 + 53*f**4/8 + 971*f**3/4 + 689*f**2 + 676*f - 316. Factor k(l).
(l + 1)**2*(l + 52)**2/4
Let u = -7601/8 + 952. Suppose 0 + u*j**4 + 3/2*j**5 - 15/8*j**2 - 9/8*j**3 - 3/8*j = 0. Calculate j.
-1, -1/4, 0, 1
Let v(d) be the first derivative of d**4/2 + 2*d**3 + 3*d**2 + 2*d + 32. Let v(n) = 0. What is n?
-1
Let h(a) be the first derivative of -4*a**3/3 + 24*a**2 + 112*a + 166. Factor h(g).
-4*(g - 14)*(g + 2)
Let s = 265/252 + -7/36. Find m such that 0 - 24/7*m**4 + s*m**3 + 4/7*m**2 + 2*m**5 + 0*m = 0.
-2/7, 0, 1
Let u(j) be the second derivative of j**5/20 - j**4/2 - 5*j**3/2 - 35*j**2/2 - 24*j. Let v(f) be the first derivative of u(f). Let v(g) = 0. What is g?
-1, 5
Let -396*k + 56*k**2 - 2*k**3 - k**3 + 2*k**3 + 324 + 20*k**2 - 3*k**3 = 0. Calculate k.
1, 9
Let c(q) be the third derivative of q**5/80 - 3*q**4/8 + 11*q**3/8 + 315*q**2. Factor c(l).
3*(l - 11)*(l - 1)/4
Suppose 2*w = 7*w + 35. Let k = w + 3. Let h(s) = 2*s**2 + 5*s + 2. Let y(l) = -l**2 - 4*l - 1. Let o(i) = k*h(i) - 6*y(i). Factor o(m).
-2*(m - 1)**2
Let i(v) be the third derivative of -1/1140*v**6 + 1/285*v**5 - 14*v**2 + 0*v - 2/57*v**3 + 0 + 1/228*v**4. Factor i(b).
-2*(b - 2)*(b - 1)*(b + 1)/19
Let s = 12 - -4. Suppose -4*i = -2*c - 26, -i + 2*c + 1 = -10. Solve t**3 + s*t + 20*t + 27*t**2 + 12 + i*t**3 = 0.
-2, -1/2
Let f(o) be the second derivative of 5*o**4/12 + 65*o**3/6 + 4*o - 66. Let f(x) = 0. Calculate x.
-13, 0
Let k(m) = 11*m**2 + m + 2. Let l be k(-1). Suppose 6*g + 2*g**5 + 6*g**3 + 24*g**2 - l*g**5 - 2*g**5 - 3 - 21*g**4 = 0. What is g?
-1, 1/4, 1
Suppose 2*c + 5*b = -2*c + 16516, 2*b + 8276 = 2*c. Factor -c*k + 4134*k - 18*k**2 + 6*k**5 + 66*k**3 - 38*k**4.
2*k**2*(k - 3)**2*(3*k - 1)
Let f(b) be the first derivative of 1/5*b**6 - 4/15*b**3 - 4/25*b**5 - 11 + 0*b**2 - 7/10*b**4 + 0*b. Let f(x) = 0. What is x?
-1, -1/3, 0, 2
Suppose 3 - 3 = 25*d. Suppose -3*i = 4*q - 0*q + 14, -5*q = 4*i + 17. Factor d*v - 1/2*v**i + 2.
-(v - 2)*(v + 2)/2
Suppose -3*f + 0 = -9. Suppose d = 4*k - 5, d = -f + 6. Find z such that 10/3*z + 4/3*z**k + 4/3 = 0.
-2, -1/2
Let b(t) be the second derivative of -5*t**7/126 + 13*t**6/90 - 3*t**5/20 - t**4/36 + t**3/9 - 75*t. Factor b(f).
-f*(f - 1)**3*(5*f + 2)/3
What is l in 0*l**3 + 32*l**5 - 13*l**5 - 35*l**3 + 20*l**4 - 170*l**2 - 14*l**5 - 65*l - 55*l = 0?
-4, -2, -1, 0, 3
Let p(w) be the first derivative of 4*w**5/5 - 5*w**4 - 8*w**3 + 95. Factor p(i).
4*i**2*(i - 6)*(i + 1)
Let v = 17 - 7. Factor -20*b**2 - 21*b**3 + 101*b - 110*b - v*b**2.
-3*b*(b + 1)*(7*b + 3)
Let q(m) be the first derivative of 0*m - 8/3*m**3 + m**2 + 8/5*m**5 + 4 - 1/2*m**4. Factor q(b).
2*b*(b - 1)*(b + 1)*(4*b - 1)
Let g = 1184/765 + 8/153. Let o = g - 11/10. Factor -1/4*i**3 + o - 5/4*i + i**2.
-(i - 2)*(i - 1)**2/4
Suppose -10 = -5*d + 4*h, 3*d + 5*h - 37 = d. Let k be (-7)/(-7)*(2 - 2). Factor -z + k*z - z**2 + d*z - 4*z.
-z*(z - 1)
Suppose 4*m - 5*b = 8, -7*m - 4*b = -2*m - 51. Let w be -1 - m/(21/(-12)). Determine v, given that -3/5*v**w - 12/5*v + 11/5*v**2 + 4/5 = 0.
2/3, 1, 2
Let v(m) be the third derivative of -m**5/60 + m**4/24 + m**3 + 71*m**2. Factor v(n).
-(n - 3)*(n + 2)
Factor -106 - 36 - 16*u - 106 + 8 + 146*u - 5*u**2.
-5*(u - 24)*(u - 2)
Let p(l) be the first derivative of 2*l**3/9 + 34*l**2/3 + 578*l/3 + 41. What is a in p(a) = 0?
-17
Suppose 2*a - 38 = -3*o - 2*a, o - 16 = -2*a. Let d(u) be the third derivative of 0*u - 2*u**2 + 0*u**3 - 1/300*u**o + 0 + 1/60*u**4 + 0*u**5. Solve d(n) = 0.
-1, 0, 1
Let f be (-6)/(-13)*26/3. Let u(i) be the second derivative of i + 0*i**2 + 1/78*i**f - 1/39*i**3 + 0. Factor u(g).
2*g*(g - 1)/13
Let f(g) be the second derivative of -3*g**4/20 - 4*g**3/5 - 6*g**2/5 + g + 9. Let f(o) = 0. Calculate o.
-2, -2/3
Suppose 17*b - 20*b - 6 = 0, 4*z + 5*b = 6. Factor 0 - 1/2*r**z + 1/2*r**2 + 0*r**3 + 0*r.
-r**2*(r - 1)*(r + 1)/2
Let n(t) be the second derivative of 5/6*t**4 - 1/10*t**5 - 8/3*t**3 + 0 + 4*t**2 - 32*t. Factor n(q).
-2*(q - 2)**2*(q - 1)
Suppose -4*y + 59 - 11 = 0. Suppose 0 = -4*i - y, 6*v = 7*v + 4*i + 10. Find u, given that -3/2*u**v + 0 + 3/2*u = 0.
0, 1
Factor -3360/13*m + 162/13*m**2 + 3200/13 - 2/13*m**3.
-2*(m - 40)**2*(m - 1)/13
Let g(a) = -a**2 - a + 1. Let f(s) = -s**2 + 8*s + 1. Let n(p) = -f(p) + 2*g(p). Let v be n(-10). Factor -5*y - v - 9/4*y**2.
-(y + 2)*(9*y + 2)/4
Suppose -l - 3*j - 4 = -4*j, -3*j + 12 = 0. Let x(c) be the second derivative of -1/4*c**4 + 0*c**2 - 1/4*c**3 + l + 13*c - 3/40*c**5. Let x(q) = 0. What is q?
-1, 0
Let i(