/2*r**2 = 0. What is r?
0, 1, 4
Let w = -12 + 11. Let s be ((-8)/(-6))/(8/12). Let c(b) = b**3 + b**2 - 1. Let j(u) = 4*u - 2. Let t(a) = s*c(a) + w*j(a). Solve t(h) = 0.
-2, 0, 1
Let s(d) be the second derivative of -d**4/72 - 19*d**3/18 - 361*d**2/12 - d + 66. Factor s(z).
-(z + 19)**2/6
Let q = -5255/3801 - -2/1267. Let m = -1/21 - q. What is r in 0*r + 2/3*r**5 + 0 + 2/3*r**3 + 0*r**2 + m*r**4 = 0?
-1, 0
Let p(w) be the second derivative of -w**7/98 - w**6/10 - 12*w**5/35 - 2*w**4/7 + 8*w**3/7 + 24*w**2/7 - 248*w. Factor p(t).
-3*(t - 1)*(t + 2)**4/7
Let z = 3 - 0. Suppose -2*d + 0*d - z*d = 0. Factor 2*a**4 + 4/3*a**2 + d + 0*a - 10/3*a**3.
2*a**2*(a - 1)*(3*a - 2)/3
Suppose -5*l + 13 = -2*n, 2*n - 343 = -331. Factor -4/7*a**3 - 2/7*a**l + 6/7*a - 4/7*a**2 - 2/7 + 6/7*a**4.
-2*(a - 1)**4*(a + 1)/7
Determine a, given that 3*a**3 + 64*a**2 - 73*a**2 + 105 - 81*a - 18*a = 0.
-5, 1, 7
Let a(t) be the second derivative of -1/16*t**4 - 21*t - 1/2*t**3 + 1/16*t**5 - 1/2*t**2 + 0. Factor a(b).
(b - 2)*(b + 1)*(5*b + 2)/4
Let y(o) be the second derivative of -o**6/210 + 3*o**5/70 - 5*o**4/84 - o + 7. Find c such that y(c) = 0.
0, 1, 5
Suppose 0 = 8*f - 3*f - 75. Suppose -4*j + f = -u, 2*u - j + 1 = -1. Factor u + z + 1/4*z**2.
(z + 2)**2/4
Let j(x) = -29*x**2 + 13*x**2 - 22 - 23*x + 9*x**2. Let l(z) = -190*z**2 - 620*z - 595. Let r(h) = -55*j(h) + 2*l(h). Determine v so that r(v) = 0.
-4, -1
Suppose 90 - 264 = -87*r. Factor -3/2*j**r + 0*j - 1/2*j**3 + 0.
-j**2*(j + 3)/2
Suppose 2*o = -2*o + 3*p + 2, -5*o = 4*p - 18. Factor -32*m - 28*m**4 + 2719 - 4*m**5 - 2719 - 80*m**o - 72*m**3.
-4*m*(m + 1)*(m + 2)**3
Let m be 1/(-4) + (-60068)/(-16). Find i such that -i - 5*i + m*i**2 - 3751*i**2 = 0.
0, 2
Suppose 8*p - 18 = -p. What is j in -j - 11*j**3 - 14*j**5 + 18*j**5 - j - 9*j**p = 0?
-1, -1/2, 0, 2
Let v(h) be the first derivative of 0*h + 1/14*h**2 + 21 + 1/21*h**3. Factor v(p).
p*(p + 1)/7
Let w(f) be the first derivative of f**4 - 16*f**3/3 + 2*f**2 + 24*f - 16. Find x such that w(x) = 0.
-1, 2, 3
Let v(t) = -239*t**2 + 91*t + 4. Let u(c) = -1672*c**2 + 638*c + 32. Let l(x) = 6*u(x) - 44*v(x). Factor l(z).
4*(11*z - 2)**2
Let l(w) be the second derivative of 25*w**4/42 + 11*w**3/3 + 6*w**2/7 - 2*w - 11. What is f in l(f) = 0?
-3, -2/25
Let x(q) be the second derivative of q**6/15 + 7*q**5/5 + 34*q**4/3 + 130*q**3/3 + 75*q**2 + 132*q. Let x(g) = 0. What is g?
-5, -3, -1
Let p(m) be the first derivative of -2*m**5/35 + 193*m**4/14 - 382*m**3/7 + 571*m**2/7 - 380*m/7 + 495. Factor p(j).
-2*(j - 190)*(j - 1)**3/7
Let m(f) be the first derivative of 8 - 4/21*f**3 + 5/7*f**2 - 6/7*f. Let m(v) = 0. What is v?
1, 3/2
Factor 9/10*l - 1/5*l**3 + 0 + 1/10*l**5 + 2/5*l**4 - 6/5*l**2.
l*(l - 1)**2*(l + 3)**2/10
Let b(w) be the first derivative of -2*w**6/3 + 48*w**5 - 958*w**4 + 2320*w**3 - 1682*w**2 + 276. Suppose b(d) = 0. What is d?
0, 1, 29
Let y(p) = 17*p**2 + 286*p + 285. Let m(k) = 5*k**2 + k. Let l(x) = -4*m(x) + y(x). Factor l(b).
-3*(b - 95)*(b + 1)
Let a(x) be the second derivative of -x**5/15 - 2*x**4/3 - 8*x**3/3 - 5*x**2/2 + 2*x. Let i(l) be the first derivative of a(l). Factor i(c).
-4*(c + 2)**2
Let f(h) be the second derivative of h**7/70 - h**5/10 + h**3/2 + 6*h**2 - 6*h. Let y(w) be the first derivative of f(w). Factor y(v).
3*(v - 1)**2*(v + 1)**2
Factor 0 + 12/5*v**2 + 3/5*v**4 - 21/5*v**3 + 36/5*v.
3*v*(v - 6)*(v - 2)*(v + 1)/5
Determine c so that 58*c**3 + 17*c - c + 12 + c**2 - c**4 - 62*c**3 = 0.
-3, -2, -1, 2
Find n such that 114*n**3 + 9/2*n**4 + 216 + 900*n + 1587/2*n**2 = 0.
-12, -1, -1/3
Solve -2/9*y**4 - 32/9*y**2 + 0*y + 20/9*y**3 + 0 = 0.
0, 2, 8
Let k = 22 - 20. Let d be (-38)/(-14) + (-20)/(-70). Factor -d*f - 2*f**k + 7*f + 5 - 37 + 12*f.
-2*(f - 4)**2
Find w, given that 12/5*w**3 + 9/5*w - 21/5*w**5 + 36/5*w**4 + 6/5 - 42/5*w**2 = 0.
-1, -2/7, 1
Let d(q) be the third derivative of -q**9/332640 - 7*q**5/30 - 10*q**2. Let x(p) be the third derivative of d(p). Factor x(a).
-2*a**3/11
Factor 20*w + 15 + 15 - 28*w**2 - 5*w**3 - 34 + 17*w**3.
4*(w - 1)**2*(3*w - 1)
Suppose 0 = -b - 3*b + 32. Let a be 88/14 - b/28. Let -l**5 + a*l**4 + 2 - 14*l**3 + 1 - 1 + 16*l**2 - 9*l = 0. What is l?
1, 2
Let w(s) be the second derivative of s**4/72 + 7*s**3/36 + 71*s + 3. Determine t, given that w(t) = 0.
-7, 0
Let a(j) be the second derivative of j**6/180 + 13*j**5/120 + 5*j**4/6 + 28*j**3/9 + 16*j**2/3 - 104*j. Factor a(b).
(b + 1)*(b + 4)**3/6
Let o(h) be the first derivative of 5*h**3/6 - 65*h**2/2 + 26. Factor o(f).
5*f*(f - 26)/2
Let f(d) = -3*d - 81. Let c be f(-28). Let x(y) be the first derivative of 0*y**2 + 1/5*y**5 + 1/3*y**c - 5 + 0*y - 1/2*y**4. Factor x(r).
r**2*(r - 1)**2
Let u(q) = -50*q**2 - 6*q - 6. Let c(y) = -y**3 - y - 1. Let o(a) = -6*c(a) + u(a). Factor o(z).
2*z**2*(3*z - 25)
Suppose 3*s - 15 - 3 = 0. Suppose 4*g - 2 = s. Let -6/13 + 2/13*u**g - 4/13*u = 0. Calculate u.
-1, 3
Let q = -5 + 10. Suppose -5*v = 4*i - 23, v - 6 = -3*v + 3*i. Determine y, given that 0*y - y**v + 0 - 1/5*y**q + 2/5*y**2 + 4/5*y**4 = 0.
0, 1, 2
Suppose h**2 - 2*h**5 - 2*h + 3*h**3 + 11*h**2 + h**5 - 13*h**2 + h**4 = 0. Calculate h.
-1, 0, 1, 2
Suppose -4*p = 5*s - 5*p + 28, -4*p = -5*s - 22. Let l = s + 25/4. Factor 0*t**2 - l*t**4 + 1/4 + 1/2*t**3 - 1/2*t.
-(t - 1)**3*(t + 1)/4
Let s(u) be the second derivative of u**7/294 - u**6/21 + 33*u**5/140 - 10*u**4/21 + 8*u**3/21 + 62*u. Factor s(r).
r*(r - 4)**2*(r - 1)**2/7
Let m(i) be the first derivative of -4*i**5 + 9 - 340*i**3 - 760*i**2 - 245/4*i**4 - 320*i. Factor m(v).
-5*(v + 4)**3*(4*v + 1)
Let i(q) be the third derivative of 4*q**5/135 + q**4/108 - 225*q**2 + 2. Factor i(p).
2*p*(8*p + 1)/9
Let m(s) be the first derivative of 3 + 1/4*s**2 - 4*s + 3/40*s**5 + 5/12*s**3 + 7/24*s**4. Let p(q) be the first derivative of m(q). Factor p(v).
(v + 1)**2*(3*v + 1)/2
Let p be ((-25)/15)/((16/4)/36). Let a be (-21)/140*p/18. Factor a*u**3 - 3/8*u + 0*u**2 + 1/4.
(u - 1)**2*(u + 2)/8
Let t be ((-6)/(-10))/((-2)/30) - 3. Let u be (-1)/(9/t*1). Let u*s**3 + 2/3*s**2 - 14/3*s**4 + 8/3*s**5 + 0*s + 0 = 0. Calculate s.
-1/4, 0, 1
Let l(h) be the second derivative of 9*h**7/280 - 2*h**6/15 + h**5/8 + h**4/4 + 2*h**3 - 10*h. Let y(q) be the second derivative of l(q). Solve y(w) = 0 for w.
-2/9, 1
Let n be -1 + 21/(378/24). Let 0*w + 1/3 - n*w**2 = 0. What is w?
-1, 1
Let h(m) be the first derivative of 0*m**2 - 9/20*m**4 + 6 + 2/5*m**3 + 0*m + 3/25*m**5. Factor h(q).
3*q**2*(q - 2)*(q - 1)/5
Let j(z) be the second derivative of 3*z**5/70 + 2*z**4/7 + 5*z**3/7 + 6*z**2/7 + 190*z. Factor j(o).
6*(o + 1)**2*(o + 2)/7
Find d, given that 168134 - 168134 - d**2 - 11*d = 0.
-11, 0
Let o be (6/18)/(44/8 + -3). Let i(g) be the first derivative of -1/20*g**4 - o*g**3 + 3/10*g**2 + 0*g - 3. Find q such that i(q) = 0.
-3, 0, 1
Let n(s) be the third derivative of -5*s**8/28 + 32*s**7/105 + s**6/30 - 2*s**5/15 + 105*s**2. Let n(o) = 0. Calculate o.
-1/3, 0, 2/5, 1
Let m = 2/1585 - -6326/11095. Let o = 1558/7 + -222. Solve -o - 1/7*d**2 + m*d = 0 for d.
2
Let c(y) be the first derivative of 0*y - 8/3*y**3 + 0*y**2 - 6/5*y**5 + 18 + 3*y**4 + 1/6*y**6. Determine t, given that c(t) = 0.
0, 2
Let 1/4*g**2 + 6 + 11/4*g = 0. What is g?
-8, -3
Let r(x) be the first derivative of x**5/80 + x**4/48 - x**3/24 + 2*x**2 + 7. Let b(t) be the second derivative of r(t). Factor b(q).
(q + 1)*(3*q - 1)/4
Let x(w) = 4*w**2 + 6*w**3 + w + 3*w**2 - 2 - 7*w**3. Let v be x(7). Find p such that -3/4*p**4 + 3/4*p**3 - 1/4*p**2 + 0 + 1/4*p**v + 0*p = 0.
0, 1
Suppose -59*k + 52*k + 21 = 0. Let b(w) be the second derivative of 0 + 5/24*w**k + 3/8*w**2 + 3*w + 1/24*w**4. Solve b(x) = 0 for x.
-3/2, -1
Let t(y) = -4*y**2 - 4*y + 4. Suppose 0*q + 32 = -3*a - q, -28 = 2*a + 2*q. Let x(r) = -r**3 + 7*r**2 + 8*r - 9. Let p(v) = a*t(v) - 4*x(v). Factor p(g).
4*g*(g + 1)**2
Let f = 143/2 + -55. Let a(j) be the first derivative of 9/5*j**5 + 1/6*j**6 + f*j**2 - 6 + 15/2*j**4 + 9*j + 46/3*j**3. Factor a(k).
(k + 1)**3*(k + 3)**2
Let n(r) be the first derivative of -2*r**3/51 - 24*r**2/17 - 288*r/17 + 6. What is a in n(a) = 0?
-12
Suppose 3*b - 20 = -2*b. Factor 0*v**b + 4*v**4 - 7*v**4 - 2*v**3 - v**3.
-3*v**3*(v + 1)
Let d = -16 + 20. Let y(n) = -n**3 