= 0. What is o?
-2, -1, 1/4, 1
What is f in -36/5 - 48/5*f - 16/5*f**2 = 0?
-3/2
Suppose 3*t + 2*t - 5*o = 400, -4*o + 130 = 2*t. Let k be (-3 + 1)/((-30)/t). Factor -k*g - 12*g**4 + 4*g**2 - 3*g - 5*g**4 + 13*g**4 + 8*g**3.
-4*g*(g - 2)*(g - 1)*(g + 1)
Let v(x) be the first derivative of x**6/150 + x**5/50 - x**4/30 + 3*x**2 + 13. Let q(m) be the second derivative of v(m). Determine n, given that q(n) = 0.
-2, 0, 1/2
Let m(y) be the second derivative of 3*y**6/5 + 5*y**5/2 + 2*y**4 - 4*y**3/3 - 4*y + 2. Let m(n) = 0. Calculate n.
-2, -1, 0, 2/9
Let f = -124 - -141. Let w(r) = -r**2 + 15*r + 61. Let h be w(f). Factor 81/2 + 21/2*l**4 + 3/2*l**5 - h*l**2 + 15*l**3 - 81/2*l.
3*(l - 1)**2*(l + 3)**3/2
Suppose 5*l + 5*y = -55, 4*l + 42 = -0*l - 3*y. Let z be (l/(-6))/((-2)/(-4)). Suppose 0*d + 0 - 2/3*d**2 - 2/3*d**4 - 4/3*d**z = 0. What is d?
-1, 0
Suppose 0 = 5*k - 8 - 7. Let i(q) be the third derivative of 0*q**k + 0*q**4 + 0 + 0*q + 7*q**2 + 0*q**5 + 0*q**6 + 1/105*q**7. Solve i(d) = 0 for d.
0
Let t(s) be the first derivative of -s**5/4 - 25*s**4/6 - 55*s**3/2 - 90*s**2 + 8*s + 45. Let w(d) be the first derivative of t(d). What is p in w(p) = 0?
-4, -3
Let k(v) = 8*v**5 + 14*v**4 - 14*v**3 - 2*v**2 - 9*v. Let q(d) = d**5 + 2*d**4 - d**3 - d. Let w(n) = 4*k(n) - 36*q(n). Factor w(t).
-4*t**2*(t + 1)**2*(t + 2)
Let b(n) be the third derivative of -n**7/1470 - n**6/105 - 11*n**5/210 - n**4/7 - 3*n**3/14 - 96*n**2. Factor b(y).
-(y + 1)**2*(y + 3)**2/7
Let b(c) = -15*c**3 + 342*c**2 + 549*c. Let r(s) = 4*s**3 - 97*s**2 - 157*s. Let h(l) = 5*b(l) + 18*r(l). Solve h(y) = 0 for y.
-9, -3, 0
Let q(t) = 3*t**2 + 46*t + 145. Let i be q(-11). Solve 32/5*a - 12/5 - 4*a**i = 0.
3/5, 1
Let o = -65 + 116. Let u = 56 - o. Factor 0 + 1/3*c**u - 1/3*c**2 - 1/3*c**3 + 1/3*c**4 + 0*c.
c**2*(c - 1)*(c + 1)**2/3
Let l(q) = q**2 - 1. Let h(x) = -2*x**2 - 20*x - 23. Let w(g) = -h(g) + 3*l(g). Factor w(s).
5*(s + 2)**2
Let c = 15 + -8. Let k = c - 0. Factor k*p**2 - 8*p - 2 + 14 - 7*p**2 - 4*p**2.
-4*(p - 1)*(p + 3)
Let c be -20*(14/(-176) - 84/154). Let q(t) be the first derivative of -15*t - 12 + 5/4*t**4 - c*t**2 - 5/3*t**3. Determine k, given that q(k) = 0.
-1, 3
Let n = -8236 + 8239. What is g in -80/7*g + 16/7 + 68/7*g**2 - 16/7*g**n = 0?
1/4, 2
Let p(k) = -10*k - 150. Let g be p(-15). Let a(c) be the first derivative of 0*c**2 + 2/3*c**3 + g*c - 14 + 1/4*c**4. Factor a(x).
x**2*(x + 2)
Let y = 2/14273 + 99905/42819. Determine x so that -x**4 + 4/3*x - 4/3 - 4/3*x**3 + y*x**2 = 0.
-2, -1, 2/3, 1
Suppose -4 = v - 7. Determine h, given that -12*h + 4*h - 5*h**4 + 8*h - 5*h**v = 0.
-1, 0
Suppose 5*o + 2*z - 5*z - 290 = 0, 4*z = 3*o - 185. Let p = -55 + o. Factor -1/4*n**3 + 3/4*n - 1/2 + p*n**2.
-(n - 1)**2*(n + 2)/4
Let p = 226 - 231. Let i be (-74)/(-14) - p/(140/(-8)). Let 3/2*f**3 + 1/2*f**4 - 1/2*f**2 + 0 - 1/2*f - f**i = 0. Calculate f.
-1, -1/2, 0, 1
Let t(o) be the first derivative of -11 + 0*o**2 + 0*o**5 + 1/24*o**6 + 0*o**3 - 1/16*o**4 + 0*o. Factor t(j).
j**3*(j - 1)*(j + 1)/4
Let n(r) be the first derivative of -4/3*r**6 - 2/3*r**3 + 0*r + 2/5*r**5 - 3*r**2 + 7/2*r**4 + 13. What is l in n(l) = 0?
-1, -3/4, 0, 1
Let i(c) be the third derivative of 0 - 1/15*c**5 + 2/3*c**4 + 0*c + 8*c**3 + 26*c**2. Determine a so that i(a) = 0.
-2, 6
Let w(j) be the third derivative of -j**7/1400 + j**6/300 + 3*j**5/200 + 35*j**3/6 + 3*j**2. Let f(y) be the first derivative of w(y). Factor f(l).
-3*l*(l - 3)*(l + 1)/5
Let o = 283 + -283. Suppose 3*z + 3*z - 5*z = o. Factor -4/3*n**3 + 14/3*n**4 + 0*n**2 + 0*n + z - 10/3*n**5.
-2*n**3*(n - 1)*(5*n - 2)/3
Let p be (-65390)/(-18) - 4/(-18). Let x be 8 - p/476 - (-4)/(-34). Find a such that x*a**3 + 1 - a - 1/4*a**2 = 0.
-2, 1, 2
Let f(d) be the third derivative of d**8/336 - d**7/168 - d**6/36 + 26*d**3/3 + 6*d**2 + 1. Let c(y) be the first derivative of f(y). Let c(t) = 0. What is t?
-1, 0, 2
Let s(f) = f**2 + 20*f - 1. Let b(h) = 8*h**2 + 135*h - 1. Let c(l) = 2*b(l) - 14*s(l). Factor c(v).
2*(v - 3)*(v - 2)
Let o(w) be the third derivative of 0 + 0*w + 1/84*w**4 - 14*w**2 + 1/735*w**7 - 1/420*w**6 - 1/210*w**5 + 0*w**3. Factor o(c).
2*c*(c - 1)**2*(c + 1)/7
Let x(a) be the second derivative of -a**7/2520 - a**6/180 - a**5/40 + 4*a**4/3 - 12*a. Let h(t) be the third derivative of x(t). Suppose h(g) = 0. Calculate g.
-3, -1
Let y(c) be the third derivative of 0 + 0*c - 20*c**2 - 1/30*c**6 + 1/420*c**7 - 1/2*c**4 + 3/4*c**3 + 11/60*c**5. Let y(h) = 0. Calculate h.
1, 3
Let c(j) be the first derivative of -1/4*j**3 + 0*j - 37 + 3/4*j**2. Suppose c(r) = 0. Calculate r.
0, 2
Let h be (-132)/33*(2 - 3). Factor -h*o - 1/4*o**2 - 16.
-(o + 8)**2/4
Let z = 175 + -170. Let i be (200/z)/5 + -5. Find j such that -49/3*j**2 - i - 14*j = 0.
-3/7
Let f(h) be the second derivative of -1/60*h**5 + 0*h**3 + 1/2*h**2 + 0 + 4*h + 1/120*h**6 + 0*h**4. Let a(c) be the first derivative of f(c). Factor a(x).
x**2*(x - 1)
Let a(m) be the third derivative of -m**8/40320 - m**7/2016 + m**6/240 - m**5/12 + 33*m**2. Let q(r) be the third derivative of a(r). Solve q(k) = 0.
-6, 1
Let l = 30 + -27. Find m such that 3*m**l - 2*m**3 - 3*m + 3*m**3 - m = 0.
-1, 0, 1
Let k(y) be the third derivative of y**6/108 - 2*y**5/15 - 11*y**4/36 + 8*y**3/27 + 5*y**2 - 17. Factor k(f).
2*(f - 8)*(f + 1)*(5*f - 1)/9
Let h(g) = -2*g - 26. Let m be h(-14). Factor 15 - 10 + 0*y**2 - 4 + y**2 + m*y.
(y + 1)**2
Let j be ((-2)/18*-2)/(39/7254). Let t = 42 - j. Suppose -t + 0*n**3 - 2/3*n**4 + 0*n + 4/3*n**2 = 0. Calculate n.
-1, 1
Let h = -21 - -27. Factor d**5 - h*d**5 + 3*d**3 + 10 - 5*d**3 - 10*d**2 + 22*d**3 - 15*d.
-5*(d - 1)**3*(d + 1)*(d + 2)
Let a(l) be the first derivative of 4*l**3/3 - 38*l**2 + 72*l + 71. Factor a(f).
4*(f - 18)*(f - 1)
Let -15*z**2 + 0 - 425/4*z + 5/4*z**3 = 0. What is z?
-5, 0, 17
Let b(a) = a**2 + 118*a - 119. Let i(t) = 5*t**2 + 710*t - 715. Let v(p) = -35*b(p) + 6*i(p). Factor v(m).
-5*(m - 25)*(m - 1)
Suppose -6*c = -9*c - 147. Let s = c + 49. Factor -1/5*z**2 + 1/5*z**4 + 1/5*z**5 + 0 - 1/5*z**3 + s*z.
z**2*(z - 1)*(z + 1)**2/5
Solve -18/7*p**3 + 20/7*p**2 - 6/7*p**4 + 4/7*p**5 + 0 + 0*p = 0.
-2, 0, 1, 5/2
Let d(m) be the second derivative of 5*m**4/12 - m**3/6 - 2*m**2 + 12*m. Let x(f) = -f**2 + f. Let s(w) = d(w) + x(w). Factor s(j).
4*(j - 1)*(j + 1)
Suppose 8 = 3*g - 4. Let -4*s**2 - 16 + 2*s**2 + 14 + 4*s**4 + g*s**3 - 5*s + s**5 = 0. What is s?
-2, -1, 1
Let s = -6268/15 + 1256/3. Factor 0 + 2/5*g**4 + 4/5*g**3 - s*g - 2/5*g**2.
2*g*(g - 1)*(g + 1)*(g + 2)/5
Let m be -3 + 2 - ((-1)/7 - (-72)/(-84)). Factor -8/5*k**3 + 24/5*k**4 + 0*k + m - 18/5*k**5 + 0*k**2.
-2*k**3*(3*k - 2)**2/5
Let f be 3 + (-3 - -2) + 1. Suppose -2*o + 7 = -3*k, 3*o = -51*k + 47*k + 2. Factor -f + 2*w - 1/3*w**o.
-(w - 3)**2/3
Let f(j) be the first derivative of 8/9*j + 1/9*j**4 - 4/9*j**2 - 2/9*j**3 + 10 + 2/45*j**5. Solve f(w) = 0.
-2, 1
Find j, given that 87/8*j + 2*j**5 + 9/8 + 297/8*j**3 + 271/8*j**2 + 15*j**4 = 0.
-3, -1, -1/4
Determine l, given that -6 + 11/4*l**2 + 5/2*l = 0.
-2, 12/11
Suppose -9/4*t**2 - 1/4*t**3 + 21/4*t - 11/4 = 0. Calculate t.
-11, 1
Let z(l) = 3*l**3 - 18*l**2 - 3*l + 99. Let q(m) = 5*m**3 - 18*m**2 - 4*m + 100. Let p(u) = -3*q(u) + 4*z(u). Factor p(t).
-3*(t - 2)*(t + 4)**2
Suppose -d**3 - 5/9*d**2 + 4/9*d + 0 = 0. Calculate d.
-1, 0, 4/9
Suppose 0 = -4*x + 3*i + 18, 22*x - 4*i = 23*x + 5. Determine n so that -14/15*n**2 + 2/5*n**4 - 2/15*n**x + 8/15 + 2/15*n = 0.
-1, 1, 4/3
Let f(b) = -b + 12. Let i be f(7). Suppose i*g + 3 = 6*g. Let 1/3*l**g + 0*l + 1/3*l**2 + 0 = 0. What is l?
-1, 0
Let h(x) be the third derivative of 2/21*x**3 + 2/105*x**5 + 2*x**2 - 1/420*x**6 - 5/84*x**4 + 5 + 0*x. Let h(f) = 0. What is f?
1, 2
Let n be 6/(-12)*-1*(-2)/(-3). Suppose 0*c + 3*x = -c + 17, -c - 5*x + 27 = 0. Factor -2/3 + 1/3*z**c + n*z.
(z - 1)*(z + 2)/3
Let h = 19/127 + 667/635. Determine y so that 3/5*y + 0 - 3/5*y**5 + h*y**2 + 0*y**3 - 6/5*y**4 = 0.
-1, 0, 1
Let z(w) be the second derivative of 0 + 2/9*w**3 + 2*w - 1/18*w**4 - 1/30*w**5 + 0*w**2. What is o in z(o) = 0?
-2, 0, 1
Let l(h) be the second derivative of 3*h**6/160 + h**5/80 - 5*h**4/96 + h**3/24 + 2*h**2 - h. Let t(k) be the first derivative of l(k). Factor t(s).
(s + 1)*(