at is h?
-1, -1/2, 1
Suppose 2*d + 4 = 4*d. Let h be -2 + 4 + -2 + d. Find a such that -1 + 0*a**3 - a**3 + 0*a + a**h + a = 0.
-1, 1
Factor 0 + 0*b**2 + 0*b - 1/3*b**3.
-b**3/3
Let k(l) be the third derivative of l**5/20 + l**4/2 + 3*l**3/2 - 14*l**2. Solve k(u) = 0.
-3, -1
What is l in 0*l**2 + 0 + 0*l + 3/5*l**4 + 27/5*l**3 = 0?
-9, 0
Suppose 12 + 8 = 5*c. Suppose 4*g + 8 = -c*q, g - 1 = 5*q + 9. Factor -1/4*w**5 - 1/4*w**4 + 0*w**3 + 0 + g*w + 0*w**2.
-w**4*(w + 1)/4
Let r(l) be the third derivative of -l**8/1176 - l**7/245 - l**6/210 + l**5/105 + l**4/28 + l**3/21 - 2*l**2. Factor r(m).
-2*(m - 1)*(m + 1)**4/7
Let i(q) be the third derivative of q**6/540 - q**4/36 + 2*q**3/27 - 19*q**2. Suppose i(k) = 0. What is k?
-2, 1
Determine v so that -8*v + 8*v**2 - 2 - 8*v**3 - 95*v**4 - 20*v**2 + 93*v**4 = 0.
-1
Let c(g) = -114*g**5 + 108*g**4 + 126*g**3 - 118*g**2 - 14*g + 6. Let w(r) = r**5 - r**3 + r**2 + r + 1. Let y(x) = c(x) + 2*w(x). Find z such that y(z) = 0.
-1, -2/7, 1/4, 1
Let l(q) = -q**2 - 41*q - 328. Let v be l(-11). Factor 0 + 0*b**3 + 0*b**v + 0*b + 1/5*b**5 + 2/5*b**4.
b**4*(b + 2)/5
Let n(p) be the third derivative of p**6/360 + p**5/36 + 10*p**2. Factor n(o).
o**2*(o + 5)/3
Let l(t) = -5*t**4 + 0*t + 7*t - 13*t**3 + t**4. Let z(b) = -b**4 - 4*b**3 + 2*b. Let p(o) = -4*l(o) + 14*z(o). Factor p(h).
2*h**3*(h - 2)
Find x, given that -x**2 + 5*x**3 - x**3 - 4*x**4 + x**2 = 0.
0, 1
Let v(f) be the third derivative of -f**5/420 - f**4/28 + f**3/6 + f**2 - 8*f. Factor v(b).
-(b - 1)*(b + 7)/7
Factor -7/8*t**2 + 5/8*t**3 + 1/2 - t.
(t - 2)*(t + 1)*(5*t - 2)/8
Let j(q) be the second derivative of q**5/4 - 15*q**4/4 + 45*q**3/2 - 135*q**2/2 + 10*q. What is a in j(a) = 0?
3
Let l(a) = a**2 - 8*a + 2. Let m be l(8). Let v be (m + (-9)/6)*0. Find o, given that -2/3*o**3 + v - 4/3*o + 2*o**2 = 0.
0, 1, 2
Let b(k) = k**2 - 14*k + 13. Suppose 3*v - 19 = -g, 5*g - 107 = -4*v - 34. Let t be b(g). Factor t*f + 1/2*f**3 + 0 + 0*f**2 + 1/2*f**4.
f**3*(f + 1)/2
Let o(f) be the third derivative of f**6/40 + 3*f**5/20 + 3*f**4/8 + f**3/2 - 20*f**2. Suppose o(g) = 0. What is g?
-1
Let q be (-14)/96 - (-7)/(-21). Let z = 1/48 - q. Factor -z*r**2 + 0 + 1/2*r.
-r*(r - 1)/2
Suppose 2*k - 2*o + 30 - 110 = 0, 190 = 4*k + 2*o. Let y be -6*((-48)/k + 1). Factor 0*w - 2/5*w**3 + y*w**4 + 0 + 0*w**2.
2*w**3*(w - 1)/5
Suppose -n + 1 + 15 = 0. Factor -10*b**3 - 4*b**2 + n*b**4 + 0*b**3 + b**4 - 3*b**4.
2*b**2*(b - 1)*(7*b + 2)
Let m = -1/11 + 15/44. Let t(g) be the second derivative of m*g**2 + 0 - 3/16*g**4 - 7/24*g**3 + g. Find a such that t(a) = 0.
-1, 2/9
Suppose m = 1, 3*s - 10*m = -5*m + 4. Factor -2/3*r + 0 - 2/3*r**s + 4/3*r**2.
-2*r*(r - 1)**2/3
Let b be (-1)/2 + 44/(-48). Let r = -2/3 - b. Solve -1/2 - 1/4*n**2 - r*n = 0 for n.
-2, -1
Factor -5*m**2 + 5*m**2 - 25*m - 5*m**2 - 30.
-5*(m + 2)*(m + 3)
Suppose -3*k + 12 = 3*i, -i = i - 4. Let j(c) be the first derivative of -1 + c**k + 0*c - 2/3*c**3. Factor j(g).
-2*g*(g - 1)
Solve 3/4*f**3 + 3/4*f**4 + 1/4*f**5 + 1/4*f**2 + 0 + 0*f = 0 for f.
-1, 0
Let n(q) be the first derivative of -q**6/90 - q**5/30 + q**3/9 + q**2/6 + 4*q - 2. Let x(g) be the first derivative of n(g). Find l, given that x(l) = 0.
-1, 1
Let o(j) be the third derivative of -7*j**6/120 - 9*j**5/40 - j**4/4 + 5*j**3/6 - 6*j**2. Let t(n) be the first derivative of o(n). Let t(q) = 0. Calculate q.
-1, -2/7
Suppose -7 = -0*r + r. Let d = -5 - r. Suppose g**4 + d*g**3 - 5*g - 1 + 0 + 3*g = 0. What is g?
-1, 1
Let x(o) be the third derivative of o**7/420 - o**6/180 - o**5/90 - 11*o**2. Let x(m) = 0. Calculate m.
-2/3, 0, 2
Suppose 5*x - 36 = -3*c, 0*x - x + 15 = -2*c. Find o, given that -x*o**3 - 4*o + 4*o + 15*o**2 - 3*o - 3*o = 0.
0, 2/3, 1
Let q(g) = -20*g**2 - 13*g + 5. Let x(j) = 6*j**2 + 4*j - 2. Let m(z) = -2*q(z) - 7*x(z). Determine w so that m(w) = 0.
-2, 1
Let k(p) be the third derivative of 7*p**8/144 + 29*p**7/180 + 23*p**6/180 - 37*p**5/360 - 7*p**4/36 - p**3/9 - 2*p**2. Solve k(j) = 0 for j.
-1, -2/7, 1/2
Let x(z) be the third derivative of z**8/420 - z**7/525 - z**6/50 + 7*z**5/150 - z**4/30 - 7*z**2. Solve x(l) = 0.
-2, 0, 1/2, 1
Let i = -81 + 244/3. Let c(n) be the second derivative of -i*n**3 + 1/12*n**4 + 1/2*n**2 + 0 + 3*n. Factor c(m).
(m - 1)**2
Let d(z) be the second derivative of 2*z**6/15 + 8*z**5/5 + 6*z**4 - 54*z**2 - 31*z. Suppose d(o) = 0. Calculate o.
-3, 1
What is s in -40*s**4 - 5*s**3 + 5*s**3 + 3*s**5 + 37*s**4 = 0?
0, 1
Let s be -4 - (1 - (-49)/(-7)). Let 2/3*r**4 - 8/3*r**3 - 4/3*r + 0 + 10/3*r**s = 0. Calculate r.
0, 1, 2
Let f(c) be the first derivative of -8 + 0*c + 2*c**4 - 2/3*c**6 + 0*c**3 + 0*c**5 - 2*c**2. Factor f(b).
-4*b*(b - 1)**2*(b + 1)**2
Find f such that -4/5*f - 4/5 - 1/5*f**2 = 0.
-2
Factor -4/3*c**2 + 0 + 2/3*c - 1/2*c**4 - 11/6*c**3.
-c*(c + 2)**2*(3*c - 1)/6
Let q be ((-11)/(-33))/(2/14). Let h = q + -2. Factor 0 + 1/3*a**2 - h*a.
a*(a - 1)/3
Let f(p) be the third derivative of -p**6/660 - p**5/110 + p**4/132 + p**3/11 - 12*p**2 + 2*p. Factor f(u).
-2*(u - 1)*(u + 1)*(u + 3)/11
Factor 7*w - 6*w + 36*w**2 + 27*w**3 + 11*w.
3*w*(3*w + 2)**2
Let o(v) be the first derivative of v**3/3 + 9*v**2/2 + 9. Determine p so that o(p) = 0.
-9, 0
Let c(d) = 65*d**3 - 545*d**2 - 50*d - 25. Let g(z) = 8*z**3 - 68*z**2 - 6*z - 3. Let m(t) = 3*c(t) - 25*g(t). Factor m(n).
-5*n**2*(n - 13)
Solve -2/3*r**2 - 2*r - 4/3 = 0 for r.
-2, -1
Factor -5*l**3 + 143 + 10*l - 143 + 5*l**2.
-5*l*(l - 2)*(l + 1)
Let h(o) be the second derivative of -o**6/540 + o**5/270 + o**4/108 + o**3/3 + 5*o. Let i(w) be the second derivative of h(w). Let i(f) = 0. Calculate f.
-1/3, 1
Determine s, given that 45*s - 5*s**5 + 9*s**3 - 10*s**2 + 9*s**4 - 49*s**3 + 21*s**4 - 20 = 0.
-1, 1, 4
Determine j so that 3/2*j - 1/2*j**3 + 0 - j**2 = 0.
-3, 0, 1
Let c(r) be the second derivative of -r**5/105 - r**4/28 + 2*r**3/21 + r**2 + 2*r. Let o(g) be the first derivative of c(g). Factor o(t).
-2*(t + 2)*(2*t - 1)/7
Let z = -8 + 14. Let 4*a**3 + 4*a**2 - 2 - 6*a**3 - 2*a + z*a**3 - 3*a**4 - 2*a**5 + a**4 = 0. What is a?
-1, 1
Let m(d) be the third derivative of -d**5/10 + 3*d**4/8 - d**3/2 - 2*d**2. Determine q so that m(q) = 0.
1/2, 1
Let r(n) = -6*n**2 - 3*n - 2. Let x(p) = 2*p**2 + 0*p**2 - 3*p**2 + 2*p**2. Let v(a) = -r(a) - 5*x(a). Factor v(y).
(y + 1)*(y + 2)
Let d(y) be the second derivative of -y**5/20 + y**4/3 - 2*y**3/3 + 3*y. Determine l, given that d(l) = 0.
0, 2
Let g(o) = -6*o**2 + 8*o + 28. Let x(v) = 18*v**2 - 26*v - 85. Let d(p) = 11*g(p) + 4*x(p). Factor d(j).
2*(j - 4)*(3*j + 4)
Let i be 535/670*6/27. Let z = i + 3/67. Suppose -2/9*s**4 + z*s + 0 + 2/9*s**2 - 2/9*s**3 = 0. What is s?
-1, 0, 1
Let r(q) be the first derivative of 5*q**3 - 10*q**2 - 20*q - 7. Let r(k) = 0. What is k?
-2/3, 2
Let p(h) be the first derivative of 3*h**5/10 - 7*h**4/8 + 5*h**3/6 - h**2/4 + 7. What is g in p(g) = 0?
0, 1/3, 1
Factor 0*t + 0 - 3/4*t**2.
-3*t**2/4
Let d = 19 + -17. Solve -2/5*m**4 + 4/5*m**3 - 2/5*m + 4/5*m**d - 2/5*m**5 - 2/5 = 0 for m.
-1, 1
Let b(h) be the second derivative of 11*h**4/12 + 5*h**3/2 + 2*h**2 + h - 28. Factor b(d).
(d + 1)*(11*d + 4)
Let n(r) be the third derivative of r**6/2520 - r**5/420 + r**3/3 - r**2. Let s(v) be the first derivative of n(v). Factor s(l).
l*(l - 2)/7
Suppose -12 = -3*b - 0. Let o(s) be the second derivative of 2*s - 1/105*s**6 + 0*s**3 - 1/70*s**5 + 0 + 1/147*s**7 + 0*s**2 + 1/42*s**b. Factor o(m).
2*m**2*(m - 1)**2*(m + 1)/7
Let w be 6 + (-4 - -3 - 2). Let r(l) be the second derivative of 3/16*l**4 + 0 + 1/12*l**w + l + 0*l**2 + 7/80*l**5. Find h such that r(h) = 0.
-1, -2/7, 0
Let a(x) be the second derivative of -x**4/90 + 4*x**3/9 - 19*x**2/15 - 3*x - 1. Find i, given that a(i) = 0.
1, 19
Let t(f) be the second derivative of -f**6/165 + 2*f**5/55 - f**4/22 - 45*f. Determine h, given that t(h) = 0.
0, 1, 3
Let r(y) be the third derivative of 1/36*y**4 + 2*y**2 + 2/45*y**5 + 0 + 0*y + 0*y**3. Suppose r(k) = 0. What is k?
-1/4, 0
Let p = 41/86 + 1/43. What is x in p*x**4 + 0 - 1/2*x - 1/2*x**2 + 1/2*x**3 = 0?
-1, 0, 1
Let g(o) be the third derivative of o**10/75600 + o**9/15120 - o**8/10080 - o**7/1260 - o**5/60 + 3*o**2. Let w(d) be the third derivative of g(d). Factor w(u).
2*u*(u - 1)*(u