 Suppose z(x) = 0. What is x?
-3, -2
Suppose -4*o + 497 = o + s, o - 95 = 2*s. Let i = 893/9 - o. Solve -10/9*f - 8/9*f**2 - i = 0 for f.
-1, -1/4
Factor 46*t**3 - 60*t**2 - 21*t**3 - 180*t - 30*t**3.
-5*t*(t + 6)**2
Let a = 232/3 - 77. Suppose 0 + 0*g**2 + 1/3*g - a*g**3 = 0. Calculate g.
-1, 0, 1
Suppose -1/5*h**3 + 1/5*h**2 + 1/5*h - 1/5 = 0. Calculate h.
-1, 1
Let p(r) be the first derivative of -2*r**3/9 + 5*r**2/6 - 2*r/3 - 5. Solve p(f) = 0.
1/2, 2
Factor 3*q + 3*q**2 - 7 - 2 + 3.
3*(q - 1)*(q + 2)
Let y = -2273/11 + 207. Suppose -y - 6/11*g**2 + 10/11*g = 0. What is g?
2/3, 1
Suppose -14 = 7*h - 49. Suppose -7*q**2 + 45/4*q**3 - 49/4*q**h + 0 + q + 7*q**4 = 0. What is q?
-1, 0, 2/7, 1
Let s(k) be the first derivative of -1/3*k**2 - 2 - 4/3*k + 2/9*k**3. Find i such that s(i) = 0.
-1, 2
Suppose -3/2*k**2 + 0 + 1/2*k = 0. Calculate k.
0, 1/3
Suppose -3*c - 2*b = -4, -2 = -5*c - b + 7. Determine r, given that 1/3*r - 1/3*r**c + 2/3 = 0.
-1, 2
Let h be (-2)/(-8) + 2/8. Factor 1/4*t**5 + 0*t**2 + 0*t**4 + 1/4*t + 0 - h*t**3.
t*(t - 1)**2*(t + 1)**2/4
Let t(p) = p**2 + 12*p + 15. Let a be t(-11). Let w(h) be the second derivative of 0 - 1/15*h**a + 1/50*h**5 + 0*h**2 + 0*h**3 - 2*h. Factor w(n).
2*n**2*(n - 2)/5
Let h(q) be the second derivative of -q**4/48 - q**3/24 + q**2/4 + 16*q. Factor h(a).
-(a - 1)*(a + 2)/4
Let z(h) be the third derivative of -h**7/3780 + h**6/1080 - h**5/720 + h**4/8 - 2*h**2. Let x(k) be the second derivative of z(k). Factor x(w).
-(2*w - 1)**2/6
Let r(u) be the second derivative of -u**7/2940 + u**6/630 - u**5/420 - u**4/4 - 3*u. Let j(g) be the third derivative of r(g). Let j(h) = 0. What is h?
1/3, 1
Factor -16/3*w**3 + 24*w + 0 - 4/3*w**4 + 4*w**2.
-4*w*(w - 2)*(w + 3)**2/3
Let j(k) be the third derivative of -k**5/90 + k**4/18 + k**3/3 - 7*k**2. Factor j(o).
-2*(o - 3)*(o + 1)/3
What is z in -1/6*z - 1/3*z**2 + 1/6*z**4 - 1/6*z**5 + 1/6 + 1/3*z**3 = 0?
-1, 1
Let d(m) = m**3 - 3*m**2 + 3*m. Suppose 2*n - 4 = 2*x - 5*x, n = 5*x - 11. Let l be d(x). Factor 0*o + o**2 + 5*o**l - 5*o**2 - o.
o*(o - 1)
Factor -138*g**3 + 35*g**4 - 30*g**3 + 14*g**4 + 16 + 51*g + 88*g**2 + 45*g.
(g - 2)**2*(7*g + 2)**2
Let m(r) be the third derivative of -r**6/180 - r**5/30 + 2*r**3/3 - r**2. Let w(c) be the first derivative of m(c). Factor w(b).
-2*b*(b + 2)
Let l(c) be the first derivative of 0*c**2 - 3 + 0*c + 1/2*c**4 + 4/3*c**3. Determine t, given that l(t) = 0.
-2, 0
Let d(r) = -r - 4. Let g be d(-6). Let n(y) be the second derivative of 0 - 2*y**2 - 5/3*y**3 - 1/2*y**4 - g*y. Find i, given that n(i) = 0.
-1, -2/3
Suppose 0*a + 5*z + 10 = -a, 5*a = -z - 2. Let -2/3*v + a - 1/3*v**2 = 0. Calculate v.
-2, 0
Let a = 18 - 14. Factor -a*i**4 + 2*i**4 + 0*i**5 - i**5.
-i**4*(i + 2)
Suppose 2*f = 5*f - 3*s - 15, f + 2*s = -4. Find x, given that 6 + f*x**2 + 3*x - 4*x**2 - x**2 = 0.
-1, 2
Factor 10*p**2 + 14/5*p**4 - 38/5*p**3 - 2/5*p**5 + 8/5 - 32/5*p.
-2*(p - 2)**2*(p - 1)**3/5
Let d(v) be the first derivative of 2/15*v**3 - 1/5*v**2 + 0*v - 2. Factor d(q).
2*q*(q - 1)/5
Let h be 238/(-63) - (-4 + 0). Let x(u) be the first derivative of h*u + 16/27*u**3 - 5/9*u**2 + 2 - 2/9*u**4. Factor x(l).
-2*(l - 1)*(2*l - 1)**2/9
Factor -12/5*a**4 + 0*a + 0 + a**5 + 4/5*a**3 + 0*a**2.
a**3*(a - 2)*(5*a - 2)/5
Let l = 23 + -21. Let 4*w + 5 + 4*w**l - 5 - 37*w**3 - 4*w**4 + 33*w**3 = 0. What is w?
-1, 0, 1
Solve 25*r**3 + 5*r**2 - 33*r**3 + 3*r**2 + 2*r**4 = 0 for r.
0, 2
Let n(s) = -s**3 - 8*s**2 + 10*s + 12. Let j be n(-9). Solve 3*w**j + 3*w**3 - 5*w**3 + w**3 = 0.
0
Let p = 666/455 - -7/65. Let h = 51/28 - p. Suppose -1/4 + h*z**2 + 0*z = 0. What is z?
-1, 1
Let q(u) be the first derivative of -2*u**5/75 - u**4/30 + 6. Factor q(t).
-2*t**3*(t + 1)/15
What is k in -9/7*k + 3/7*k**4 + 9/7*k**3 - 15/7*k**2 + 12/7 = 0?
-4, -1, 1
Let t(v) be the third derivative of 0 - 1/140*v**5 + 0*v**4 + 4*v**2 + 1/14*v**3 + 0*v. Let t(z) = 0. What is z?
-1, 1
Factor -1/3 + 2/3*k - 1/3*k**2.
-(k - 1)**2/3
Let c(g) be the third derivative of 0*g**3 + 0*g + 0*g**4 + 0*g**5 + 0 + 1/540*g**6 + 1/945*g**7 - 4*g**2. Solve c(k) = 0.
-1, 0
Let d be -2*2*(-95)/(-55). Let k = -466/77 - d. Solve -8/7*s**3 + 2/7*s + 0 + k*s**2 = 0 for s.
-1/4, 0, 1
Find z, given that -z**4 + 6*z**2 - 8 + 6*z - 3*z + 5*z - z**4 - 4*z**3 = 0.
-2, 1
Let y(s) = 9*s**5 + 17*s**4 + 15*s**3 + s**2 - 2*s. Let h(t) = 10*t**5 + 16*t**4 + 15*t**3 + t**2 - 2*t. Let o(d) = -4*h(d) + 6*y(d). Factor o(w).
2*w*(w + 1)**3*(7*w - 2)
Let n(k) be the third derivative of -k**8/8400 + k**6/1800 - 2*k**3/3 - 3*k**2. Let z(i) be the first derivative of n(i). What is t in z(t) = 0?
-1, 0, 1
Let w(c) be the third derivative of c**6/160 + c**5/80 - 3*c**4/16 + 69*c**2. Factor w(r).
3*r*(r - 2)*(r + 3)/4
Let j(c) = 3*c**2 + 6*c + 1. Let b be j(-3). Suppose 2*s + 6 = b. Let 2/3*y**4 + 4/3 + 11/3*y**3 + 7*y**s + 16/3*y = 0. Calculate y.
-2, -1, -1/2
Let k(l) be the third derivative of -l**8/20160 + l**7/5040 - l**5/20 + l**2. Let i(u) be the third derivative of k(u). Solve i(m) = 0 for m.
0, 1
Let b be (-4)/8*0 - -4. Let u be (b - 58/10) + 3. Factor 0*y**3 + u*y + 9/5*y**2 + 0 - 3/5*y**4.
-3*y*(y - 2)*(y + 1)**2/5
Solve 20 - 32*f - 24 - 24 - 4*f**2 = 0.
-7, -1
Let o = 2195/4 - 548. Solve 1/2*z - 5/4*z**3 + o*z**2 + 0 = 0.
-2/5, 0, 1
Let i(z) = -48*z**2 + 2. Let r be i(-1). Let c = -229/5 - r. Solve -1/5*y + 2/5*y**2 - c*y**3 + 0 = 0.
0, 1
Let j(y) = -9*y**2 + y - 1. Let a be j(1). Let s = 12 + a. Factor 0 + 1/2*x**s - 1/2*x + 0*x**2.
x*(x - 1)*(x + 1)/2
Factor 0*y - 4/3 + 4/3*y**2.
4*(y - 1)*(y + 1)/3
Let a(t) = -4*t**3 + 7*t**2 - 4*t. Let q(g) = g**3 - g**2 - 1. Let c(v) = a(v) + 3*q(v). Let m(l) be the first derivative of c(l). Factor m(b).
-(b - 2)*(3*b - 2)
Let x be (4/6)/((-10)/(-105)). Factor -x + 2 - 2*v + 5 - 6*v**3 + 2*v**4 + 6*v**2.
2*v*(v - 1)**3
Let h be (-201)/(-15) - 7 - 6. Find r such that 0 - h*r + 2/5*r**3 + 2/5*r**2 - 2/5*r**4 = 0.
-1, 0, 1
Suppose -9 = -2*f - 3. Let i(y) be the second derivative of 0*y**6 - 1/84*y**7 + 0 + 1/40*y**5 + 0*y**4 - 2*y + 0*y**2 + 0*y**f. Determine m so that i(m) = 0.
-1, 0, 1
Let t(y) be the third derivative of y**5/12 + 5*y**4/24 - 5*y**3/3 - 17*y**2. What is s in t(s) = 0?
-2, 1
Let n(p) be the second derivative of 1/20*p**5 + 1/12*p**4 - 1/30*p**6 + 0*p**2 - 1/6*p**3 - 2*p + 0. Let n(r) = 0. Calculate r.
-1, 0, 1
Let k(c) be the third derivative of 1/56*c**4 + 0 + 0*c - 2*c**2 + 1/840*c**6 + 1/140*c**5 + 1/42*c**3. Factor k(i).
(i + 1)**3/7
Factor -1 - 1/3*t**5 + 2/3*t**2 + 2*t**3 - 5/3*t + 1/3*t**4.
-(t - 3)*(t - 1)*(t + 1)**3/3
Let i(j) be the first derivative of -2/3*j**3 - 2/3*j**4 + 0*j - 2/9*j**2 - 2/9*j**5 - 3. Factor i(t).
-2*t*(t + 1)**2*(5*t + 2)/9
Let h(v) be the first derivative of -2*v**3/9 - 3*v**2 - 16*v/3 + 18. Solve h(w) = 0 for w.
-8, -1
Let w(r) be the third derivative of -r**6/30 + 2*r**5/15 - r**4/6 + 6*r**2. Find l, given that w(l) = 0.
0, 1
Let d(f) be the first derivative of -f**8/840 + f**7/140 - f**6/90 + 4*f**3/3 + 1. Let z(h) be the third derivative of d(h). Factor z(c).
-2*c**2*(c - 2)*(c - 1)
Let j be ((-4)/4)/(1/(-4)). Factor -2*u**2 + 2*u + j - 6 + 2.
-2*u*(u - 1)
Suppose -8/3*n + 8/9 + 10/9*n**2 = 0. What is n?
2/5, 2
Let w(a) = a**2 + 23*a - 21. Let k be w(-24). Factor -125/2*d**5 - 1/2*d - 8*d**2 - 100*d**4 + 0 - 45*d**k.
-d*(d + 1)*(5*d + 1)**3/2
Let a(h) be the second derivative of h**4/60 - h**3/3 - 2*h - 23. Solve a(x) = 0.
0, 10
Let v be 1/3 - (34/(-18) + 2). Factor v*c**3 + 0 - 2/9*c + 0*c**2.
2*c*(c - 1)*(c + 1)/9
Let o(d) be the third derivative of 3*d**2 + 0 + 1/90*d**5 + 0*d**6 + 0*d**4 - 1/315*d**7 + 0*d**3 + 0*d. Find m such that o(m) = 0.
-1, 0, 1
Let g(t) be the first derivative of 1/3*t**2 + 1/15*t**5 + 3 - 1/9*t**3 + 0*t + 1/18*t**6 - 1/4*t**4. Solve g(b) = 0.
-2, -1, 0, 1
Let s be 0 - 1 - 9/(-7). Let g(p) = -p**2 + 5*p - 3. Let o be g(3). Determine i, given that 0 - 2/7*i**o + 0*i - s*i**2 = 0.
-1, 0
Let z be 4/6 + (-2)/3. Factor -v - 2*v - 12*v**3 - 17*v**2 + 2*v**2 + z*v.
-3*v*(v + 1)*(4*v + 1)
Let f = -1 + 2. Let o be (16/4)/(3 - f). Factor 0*c**2 - o*c**2 - 2*c**3 - 2*c**2.
-2*c**2*(c + 2)
Suppose -s - 10 = -6*s. Factor -s*d**4 + 2*d**2 + d**5 + 6 - 6 - d.
d*(d - 1)**3*(d + 1)
Let p be (9 - 7) + 1/1. Solve -p*