 i(-7). Let u = -7/2 - d. Factor -2*r - u*r**2 - 2.
-(r + 2)**2/2
Let u(h) = -7*h**3 - h**2 + 7*h - 5. Let l = 5 - 4. Let k(d) = d**2 - 2 + 7 - l + 6*d**3 - 6*d. Let i(o) = -6*k(o) - 5*u(o). Factor i(f).
-(f - 1)*(f + 1)**2
Let i = 9/5711 + -6156539/51399. Let y = 120 + i. Determine x so that -2/9*x + 2/9*x**3 + y - 2/9*x**2 = 0.
-1, 1
Let n(k) be the second derivative of k**6/60 + k**5/40 - k**4/24 - k**3/12 - k. Factor n(a).
a*(a - 1)*(a + 1)**2/2
Factor 2/3*t**2 + 4/3 + 2*t.
2*(t + 1)*(t + 2)/3
Let k(v) = 4 - 3 - 13*v - 4 - 2*v**3 + 19*v**2 - 6. Let l(x) = -x**3 + x + 1. Let g(b) = 3*k(b) + 15*l(b). Solve g(o) = 0 for o.
-2/7, 1, 2
Let o be 7/(-2)*((-36)/21)/3. Factor 1/2 - 1/2*h**o + 0*h.
-(h - 1)*(h + 1)/2
Let u(o) be the third derivative of -o**5/60 - o**4/4 - 3*o**3/2 + 7*o**2. Determine r, given that u(r) = 0.
-3
Let p be -39*(-1 - -2)*-2. Let d be (-12)/p - 58/(-39). Solve -2/3*f - 4/3 + 2/3*f**3 + d*f**2 = 0.
-2, -1, 1
Factor 4/9*y + 2/9 + 2/9*y**2.
2*(y + 1)**2/9
Let r = -10/3 + 4. Let k(w) be the second derivative of r*w**4 - 5/3*w**3 + 0 - 1/10*w**5 + 2*w + 2*w**2. Let k(b) = 0. What is b?
1, 2
Let d(w) = w**4 - w**3 + 1. Let h(v) = 135*v**4 - 167*v**3 - 168*v**2 - 46*v + 3. Let m(p) = -14*d(p) + 2*h(p). Factor m(k).
4*(k - 2)*(4*k + 1)**3
Let u(r) = -2*r**2. Let s(h) = h**3 - 2*h**2 - h - 1. Let q(j) = -2*s(j) + 3*u(j). Factor q(i).
-2*(i - 1)*(i + 1)**2
Let v(k) be the first derivative of 0*k + k**2 + 0*k**3 + 0*k**6 + 0*k**4 + 1 + 1/840*k**7 - 1/240*k**5. Let w(q) be the second derivative of v(q). Factor w(r).
r**2*(r - 1)*(r + 1)/4
Let u(b) = -b + 1. Let g be u(1). Suppose g = i + 2*i. Find y, given that -2*y**4 + 1 - 2*y**3 + y**5 + y + i*y**5 - 2*y**2 + 3*y**4 = 0.
-1, 1
Let p(v) be the third derivative of v**7/735 + v**6/210 - v**4/42 - v**3/21 + 2*v**2 + 11. Let p(a) = 0. Calculate a.
-1, 1
Let h(z) be the second derivative of -z**6/3 + 19*z**5/20 + 3*z**4/4 - 8*z**3/3 + 2*z**2 + 14*z. What is m in h(m) = 0?
-1, 2/5, 1/2, 2
Let o(b) be the first derivative of -b**6/45 + b**5/15 + b**4/18 - 2*b**3/9 - 2*b - 3. Let c(i) be the first derivative of o(i). Find z, given that c(z) = 0.
-1, 0, 1, 2
Let l be -1 - -1*5/3. Let r = 209/3 + -69. Suppose -l*j**5 + 4/3*j**4 - 4/3*j**2 + 0 + r*j + 0*j**3 = 0. Calculate j.
-1, 0, 1
Let j be 2 - (-3)/(3/43). Let n be (9/j)/(8/10). Let -n*p - 1/2*p**2 + 0 - 1/4*p**3 = 0. Calculate p.
-1, 0
Let o(c) be the third derivative of c**8/420 + c**7/168 + c**6/360 - 2*c**3/3 + 2*c**2. Let k(h) be the first derivative of o(h). Find t such that k(t) = 0.
-1, -1/4, 0
Let c(a) be the third derivative of 0*a + 0 - 1/120*a**5 + 2*a**2 + 0*a**4 + 0*a**3. What is t in c(t) = 0?
0
Let t be (3/(-2))/((-9)/24). Factor -6*h**t + 5*h**4 - h**3 + h**5 + h**3.
h**4*(h - 1)
Let v(n) be the first derivative of -4 + 1/8*n**3 - 9/8*n + 3/8*n**2. Factor v(g).
3*(g - 1)*(g + 3)/8
Let o(y) be the second derivative of 2/105*y**6 + 1/3*y**3 + 1/35*y**5 + 0 - 1/147*y**7 + 3*y - 2/7*y**2 - 4/21*y**4. Determine z, given that o(z) = 0.
-2, 1
Let z be (-1 + 3)/(-1) - 220/(-77). Factor 2/7 + 6/7*d**2 - 2/7*d**3 - z*d.
-2*(d - 1)**3/7
Determine o so that o - 1/2*o**2 - 1/2 = 0.
1
Let t be 20 + (0 - (1 - -1)). Let a be (-40)/(-18) - 4/t. Suppose -2*d**4 - 7/2*d - 13/2*d**3 - 1/2 - 15/2*d**a = 0. What is d?
-1, -1/4
Factor -13750*u - 4*u**2 + 13744*u + 2*u**2.
-2*u*(u + 3)
Let j(t) be the third derivative of -t**6/60 - 2*t**5/15 - 5*t**4/12 - 2*t**3/3 - 2*t**2. Let j(z) = 0. What is z?
-2, -1
Find p, given that -5*p + 6*p**2 - 15*p**4 + 9*p + 17*p - 18*p**3 - 3*p**5 + 9 = 0.
-3, -1, 1
Let a(c) be the first derivative of -9*c + 1 - 1/3*c**3 + 3*c**2. What is w in a(w) = 0?
3
Let -11 + 0*r**3 - 2*r**3 + 6*r**2 + 4 - 1 = 0. What is r?
-1, 2
Let a = 283 - 557/2. Factor -3 - 3/2*w**2 - a*w.
-3*(w + 1)*(w + 2)/2
Solve 2/3*i + 1/3*i**2 - 1 = 0 for i.
-3, 1
Let x(t) = 4*t**2 + 2*t - 6. Let b(p) = -4*p**2 - 2*p + 5. Let s(c) = -4*b(c) - 3*x(c). Suppose s(u) = 0. What is u?
-1, 1/2
Let d(p) be the first derivative of 5*p**4/4 - 5*p**3/3 - 5*p**2 - 15. Factor d(s).
5*s*(s - 2)*(s + 1)
Let o(s) be the third derivative of s**7/1260 + s**6/360 - 5*s**4/24 + 9*s**2. Let q(h) be the second derivative of o(h). Factor q(g).
2*g*(g + 1)
Let x be 55/10 - (-5)/(-10). Let w(k) be the third derivative of 0 + 0*k - 1/18*k**4 - 1/315*k**7 - 2*k**2 + 1/90*k**6 + 1/9*k**3 + 0*k**x. Factor w(o).
-2*(o - 1)**3*(o + 1)/3
Suppose 0 = -3*c + 4*c - 5. Factor -g**4 - 4*g**5 + g**3 + 3*g**c + 0*g**5 + 2*g**4 - g**2.
-g**2*(g - 1)**2*(g + 1)
Let z(s) be the third derivative of -s**8/504 - s**7/210 + s**6/360 + s**5/60 + s**4/72 - 6*s**2. Find a such that z(a) = 0.
-1, -1/2, 0, 1
Let n(i) = -i**2 + 10*i - 8. Let g be n(8). Factor b**3 + b**3 - 3 + g*b + 8*b**2 + 3.
2*b*(b + 2)**2
Suppose 107 - 109 - q**2 - 4*q - q**2 = 0. Calculate q.
-1
Let r = 32851/90 + -365. Let a(u) be the third derivative of 2/9*u**4 + 0 + 4*u**2 - 2/9*u**3 - 1/60*u**5 + r*u**7 + 0*u - 2/45*u**6. Solve a(c) = 0.
-1, 2/7, 1, 2
Let z(g) be the third derivative of -g**6/240 + 5*g**2. Determine w so that z(w) = 0.
0
Suppose 3*h - 3 = 6. Factor 2*u**4 + 2*u + 2*u**3 - u**2 - 4*u - 4*u**2 + h*u**2.
2*u*(u - 1)*(u + 1)**2
Let w(q) be the second derivative of q**7/21 + 2*q**6/5 + q**5/10 - 4*q**4 + 16*q**3/3 - 28*q. Suppose w(l) = 0. What is l?
-4, 0, 1
Suppose 3*x + 8 = 5, 4*x + 4 = 5*o. Determine v, given that 1/4*v**2 + 1/2*v - 1/4*v**3 + o = 0.
-1, 0, 2
Suppose -3*p = -3 - 3. Factor 0*c + c**3 - c**p - c + 0*c**3 + c**4.
c*(c - 1)*(c + 1)**2
Let a(s) be the first derivative of -3/4*s**4 + 2*s**2 - 3 + 20/3*s**3 + 49/6*s**6 + 0*s - 14*s**5. Find l, given that a(l) = 0.
-2/7, 0, 1
Let u = -355 - -358. Factor -9/7*b**u + 3*b + 6/7*b**2 + 6/7.
-3*(b - 2)*(b + 1)*(3*b + 1)/7
Let k(c) be the first derivative of c**6/6 + c**5/5 - 5*c**4/4 - 5*c**3/3 + 2*c**2 + 4*c + 29. Find w, given that k(w) = 0.
-2, -1, 1, 2
Factor 4*h**3 - 9 - 2*h + 13 - 2*h**3 - 4*h**2.
2*(h - 2)*(h - 1)*(h + 1)
Let s(d) = d**4 + d**3 - 3*d - 3. Suppose 2*g - 3*n = -19, 5*n - 31 = -g + 4*g. Let x(c) = 2*c + 2. Let a(j) = g*s(j) - 3*x(j). Solve a(m) = 0.
-1, 0
Let m(b) be the third derivative of b**6/540 - 7*b**5/270 + 5*b**4/36 - b**3/3 + 14*b**2. Suppose m(h) = 0. What is h?
1, 3
Suppose 5*q = 24 - 4. Let s(d) be the third derivative of 1/15*d**5 - 1/12*d**q - 1/60*d**6 + 0 + 0*d**3 + 3*d**2 + 0*d. Suppose s(g) = 0. Calculate g.
0, 1
Let t be 37/13 + (3 - 518/182). Solve -2/3 + 0*m - 2/3*m**4 + 0*m**t + 4/3*m**2 = 0 for m.
-1, 1
Suppose -21*y = 5*y. Factor 2/9*d**2 - 2/9*d + y.
2*d*(d - 1)/9
Let t(o) = -5*o + 5. Let j(p) = -p + 1. Let f(c) = 2*j(c) - t(c). Let b be f(2). Factor 4*n**5 - b*n**4 + n**4 + 3*n**4 - 3*n**4.
2*n**4*(2*n - 1)
Let d(v) = v**4 + v**3 + v**2 - 1. Let q(j) = -12*j**4 + 32*j**3 - 14*j**2 - 40*j + 18. Let p(a) = -2*d(a) - q(a). Let p(b) = 0. Calculate b.
-1, 2/5, 2
Let f(l) be the third derivative of l**7/945 - l**5/135 + l**3/27 - 2*l**2. Solve f(g) = 0 for g.
-1, 1
Let q(r) be the third derivative of -r**8/840 + r**6/300 + 3*r**2. Factor q(m).
-2*m**3*(m - 1)*(m + 1)/5
Let y be 1*(3 + (-3 - -2)). Let c(n) be the first derivative of -1/3*n - 2/9*n**3 + 1/2*n**2 + y. Determine o, given that c(o) = 0.
1/2, 1
Let a(f) be the first derivative of -f**6/54 - 11*f**5/45 - 17*f**4/18 - 14*f**3/27 + 35*f**2/18 + 25*f/9 - 17. Suppose a(w) = 0. What is w?
-5, -1, 1
Let r(h) = -h - 1. Let o be r(1). Let j be (0 - -1)*(1 - o). Suppose 0 + 2/3*w**j + 0*w + 2/3*w**4 + 0*w**2 = 0. Calculate w.
-1, 0
Let q(s) be the first derivative of s**4/24 + s**3/9 + s**2/12 + 5. Suppose q(r) = 0. What is r?
-1, 0
Let g(h) = -h. Let j(a) = 2*a - 2. Let b(u) = 3*g(u) + j(u). Let s be b(-2). Determine c so that 0*c**2 + 1/4*c**5 + 0 + 0*c**4 - 1/4*c**3 + s*c = 0.
-1, 0, 1
Let j(m) be the first derivative of 49*m**4/2 - 700*m**3/27 + 92*m**2/9 - 16*m/9 - 15. Suppose j(y) = 0. What is y?
2/9, 2/7
Let t(l) be the third derivative of -1/150*l**5 + 0*l**4 + 0 + 1/15*l**3 + 6*l**2 + 0*l. Determine a so that t(a) = 0.
-1, 1
Let s(x) = -5*x**5 - x**4 + 19*x**3 - x**2 - 5*x + 7. Let u(c) = 3*c**5 - 10*c**3 + 3*c - 4. Let o(m) = 4*s(m) + 7*u(m). Let o(k) = 0. What is k?
0, 1
Let n(b) = b - 1. Let y(x) = -4*x + 6. Let d(t) = -3*n(t) - y(t). Let z be 