derivative of 1/140*o**5 + 2/105*o**6 - 7*o + 0 - 1/21*o**4 + 0*o**2 - 1/42*o**3. Find v such that i(v) = 0.
-1, -1/4, 0, 1
Let w(s) be the third derivative of s**7/350 - s**6/50 + s**5/20 - s**4/20 + 3*s**2. Factor w(k).
3*k*(k - 2)*(k - 1)**2/5
Let k = 1 + -1. Let m = 1102/11 + -100. Factor k*f + 0 - 2/11*f**3 - m*f**2.
-2*f**2*(f + 1)/11
Let j(r) be the first derivative of r**6/21 + 4*r**5/35 + r**4/14 - 3. Find v, given that j(v) = 0.
-1, 0
Suppose 4*o - 3*x - 11 = 0, -4*x - 3 = 3*o - 5. Suppose -o*b + 16 = 2*w, -w = 3*w - 20. Suppose -4 - 12*a**2 + 10*a**2 + 0 + 10*a - 4*a**b = 0. What is a?
-2, 1/2, 1
Let i be 5/10 + (-5)/(-20). Find r, given that i*r**2 + 1/2*r + 1/4*r**3 + 0 = 0.
-2, -1, 0
Let q be (0 - 0)*(-1)/(-2). Suppose q = -2*o - 2 + 8. Factor -2/7*c**o + 0*c + 0 + 0*c**2.
-2*c**3/7
Factor -19*n**4 - 20*n**3 - 65*n**4 - 45*n**5 - 16*n**4.
-5*n**3*(n + 2)*(9*n + 2)
Suppose f + 0 - 2 = 0. Let m(b) = -b**3 + 3*b**2 + 6*b - 6. Let c be m(4). Factor h**f - h - c - 3*h + 5*h.
(h - 1)*(h + 2)
Let z(w) be the first derivative of -2/27*w**3 + 0*w + 1/18*w**4 + 2/45*w**5 - 1 - 1/9*w**2. Determine h, given that z(h) = 0.
-1, 0, 1
Let q(i) be the first derivative of 1/6*i**3 + 3 - 1/4*i**2 + 0*i. Factor q(f).
f*(f - 1)/2
Suppose -2*r + 3*k = -3 - 0, -5*k = -4*r + 7. Suppose 0*n + 0*n**2 + 0 - 2/9*n**4 - 2/9*n**r = 0. What is n?
-1, 0
Suppose -a + 3*x + 11 = -0, 2*x = -2. Let h = 10 - a. Solve 1/3*k + 0 + 1/3*k**h = 0 for k.
-1, 0
Let p(g) be the first derivative of -6*g**5/5 + 5*g**4/4 + g**3/3 - 5. Factor p(t).
-t**2*(t - 1)*(6*t + 1)
Let s = -39 + 40. What is m in -1/2*m**2 + 1/2*m + s = 0?
-1, 2
Factor 4*g**2 - 2*g**2 - g**4 - g**2 - 4*g**3 - 6*g**2 - 2*g.
-g*(g + 1)**2*(g + 2)
Let y(q) be the third derivative of q**6/540 + 2*q**5/135 + 5*q**4/108 + 2*q**3/27 - 10*q**2. Factor y(g).
2*(g + 1)**2*(g + 2)/9
Let r = 119/12 - 39/4. Let c(u) be the second derivative of 2/9*u**3 + 1/6*u**2 + 1/15*u**5 + 1/90*u**6 + 2*u + 0 + r*u**4. Determine q, given that c(q) = 0.
-1
Factor 4/3*c + 2/3*c**2 - 2.
2*(c - 1)*(c + 3)/3
Let h(b) be the third derivative of -b**5/12 - 5*b**4/24 + 7*b**2. Solve h(q) = 0.
-1, 0
Factor -96*z**3 + 169*z**3 - 89*z**3 + 4*z**5 + 12*z**4.
4*z**3*(z - 1)*(z + 4)
Let w(p) be the third derivative of p**6/40 - p**5/20 - p**4/4 + 4*p**2. Let w(x) = 0. What is x?
-1, 0, 2
Let o(g) be the second derivative of g**7/126 - g**6/45 + g**4/18 - g**3/18 - 5*g. Factor o(u).
u*(u - 1)**3*(u + 1)/3
Let w(k) = -k**2 - k + 2. Let n(c) = c**2 - 6*c. Let q be n(6). Let j be w(q). Suppose -4/7*l**j + 0 - 2/7*l**3 + 0*l = 0. What is l?
-2, 0
Suppose 0*j**2 + 1/3*j**3 + 0 - 1/3*j = 0. What is j?
-1, 0, 1
Let a be (793/(-30))/(-13) - (-2)/(-1). Let h(y) be the second derivative of 0*y**3 - 3*y + 1/9*y**4 + 0*y**2 + a*y**5 + 0. Factor h(d).
2*d**2*(d + 2)/3
Suppose -4*w - i + 284 = 0, -3*w + 40 + 188 = -3*i. Find f, given that 18 + 6*f + 12*f**5 - 51*f**4 - 39*f**2 + w*f**3 - 18 = 0.
0, 1/4, 1, 2
Let m be 4/4 - (3 + 0). Let f be (-4)/(-4)*(-4)/m. Factor 0 - 3/5*n**3 + 0*n - 1/5*n**f.
-n**2*(3*n + 1)/5
Let v(n) = n - 6. Let c be v(10). Let i be (2 - (-12)/(-8))*c. Factor -2/5*k**i + 0 + 2/5*k**4 + 2/5*k**3 - 2/5*k.
2*k*(k - 1)*(k + 1)**2/5
Let y(q) = -q**4 + 2*q**3 - 3*q**2 - 13*q - 4. Let b(n) = -n**4 + n**2 - n. Let l = 26 - 24. Let w(d) = l*y(d) - 6*b(d). Factor w(t).
4*(t - 2)*(t + 1)**3
Let u(r) = -18*r**3 - 51*r**2 - 21*r - 6. Let z(y) = -2*y**3 - y**2 - 1. Let a(x) = -u(x) + 6*z(x). Factor a(v).
3*v*(v + 7)*(2*v + 1)
Let x be (-140)/196*(-2)/5. Factor 4/7*v - 2/7*v**3 + x*v**2 + 0.
-2*v*(v - 2)*(v + 1)/7
Let s(v) = 2*v**2 + 13*v - 1. Let o(y) = 6*y**2 + 38*y - 4. Let z(t) = -4*o(t) + 11*s(t). Solve z(q) = 0.
-5, 1/2
Let o(b) be the first derivative of -b**4/3 - 8*b**3/3 - 6*b**2 - b + 8. Let m(g) be the first derivative of o(g). Determine d so that m(d) = 0.
-3, -1
Let q be (6/(-4))/(6/(-8)). Find f such that -4*f**3 + 3*f**3 + 2*f**2 + f**5 - q*f**2 = 0.
-1, 0, 1
Suppose 3*h + 19 = 7. Let g be h/(-2)*(-18)/(-9). Determine a so that 5*a**4 - 2*a**4 - 5*a**g + 3*a**5 = 0.
0, 2/3
Let s(v) be the first derivative of v**6/9 - 2*v**5/15 - v**4/3 + 4*v**3/9 + v**2/3 - 2*v/3 + 24. Solve s(m) = 0 for m.
-1, 1
Let q(x) be the third derivative of 1/360*x**6 - 1/180*x**5 + 0*x + 0*x**3 + 0 - 3*x**2 + 1/630*x**7 - 1/72*x**4. Factor q(c).
c*(c - 1)*(c + 1)**2/3
Suppose -8 = -4*w - 2*u, 5*w - 2*u = 3 + 7. Determine s so that -2/13*s**w - 6/13*s - 4/13 = 0.
-2, -1
Factor 44/3*n + 4/3 - 16*n**2.
-4*(n - 1)*(12*n + 1)/3
Let w = 2/1045 + 24029/3135. Let b = w - 89/12. Factor -1/4 - b*l**3 + 1/4*l**2 + 1/4*l.
-(l - 1)**2*(l + 1)/4
Let v be (6 + (1 - 9))/(-4). Factor v*w**3 + 0 + w**2 + 1/2*w.
w*(w + 1)**2/2
Let p = -11 + 78/7. Let v(u) be the second derivative of u - 1/7*u**3 + p*u**2 + 1/14*u**4 + 0 - 1/70*u**5. Factor v(s).
-2*(s - 1)**3/7
Let f be (-22 + 0)*(-1)/2. Let x = -6 + f. Find r, given that r**5 - 2*r**3 + 0*r**x + r**3 = 0.
-1, 0, 1
Let i(g) = -20*g**4 - 11*g**3 + 11*g - 14. Let b(p) = -7*p**4 - 4*p**3 + 4*p - 5. Let r = 0 + -6. Let n(v) = r*i(v) + 17*b(v). Suppose n(s) = 0. What is s?
-1, 1
Let o(n) = -n + 3. Let q be o(6). Let f = 6 + q. Factor -f*k - 3*k**3 - 5*k**4 - 3*k**2 + 2*k + 4*k**4.
-k*(k + 1)**3
Let h(p) be the third derivative of p**6/480 - p**5/60 - p**4/96 + p**3/6 + 8*p**2. What is l in h(l) = 0?
-1, 1, 4
Let j(h) = -9*h**4 - 11*h**3 - 10*h**2 + 4. Let k(f) = f**3 - f**2 + 1. Let m(t) = j(t) - 4*k(t). Factor m(g).
-3*g**2*(g + 1)*(3*g + 2)
Let w(d) be the first derivative of d**5/85 - d**4/102 - 5*d**3/51 - 2*d**2/17 + 7*d + 5. Let a(z) be the first derivative of w(z). Suppose a(c) = 0. What is c?
-1, -1/2, 2
Suppose 11*k - 12*k**2 - 14*k**3 - 5 - 3 - 2*k**3 + 25*k = 0. What is k?
-2, 1/4, 1
Let q = 125/3 - 41. Let p(r) be the first derivative of 2 + 8*r + 4*r**2 + q*r**3. Factor p(c).
2*(c + 2)**2
Let a(g) = 3*g**3 + g**2 - 2. Let c(o) = 4*o**3 - o - 3. Let d(q) = -3*a(q) + 2*c(q). Determine z, given that d(z) = 0.
-2, -1, 0
Solve 2*c**2 + 4/5*c**3 + 2/5*c - 4/5 = 0.
-2, -1, 1/2
Let x(t) be the first derivative of 0*t - 1/3*t**3 + 1/5*t**5 + 0*t**4 - 3 + 0*t**2. Find l, given that x(l) = 0.
-1, 0, 1
Let d(p) be the third derivative of 0*p + 0 + 0*p**4 + 2*p**2 + 1/504*p**8 + 1/180*p**5 + 1/90*p**6 + 0*p**3 + 1/126*p**7. Factor d(r).
r**2*(r + 1)**2*(2*r + 1)/3
Let g(c) be the third derivative of 0*c - 1/66*c**5 + 0*c**3 - 1/165*c**6 + 0 - 3*c**2 - 1/132*c**4. Factor g(h).
-2*h*(h + 1)*(4*h + 1)/11
Factor 2/7*v**2 - 32/7*v + 128/7.
2*(v - 8)**2/7
Let j(o) = 2*o**3 + 7*o**2 - 5*o - 1. Let r(d) = -7*d**3 - 27*d**2 + 20*d + 3. Let q(n) = 22*j(n) + 6*r(n). Factor q(h).
2*(h - 2)*(h - 1)**2
What is s in -16/9*s - 2/9*s**5 - 8/9 + 10/9*s**3 - 2/9*s**2 + 2/9*s**4 = 0?
-1, 2
Let z(r) be the first derivative of 2*r**3/33 - 2*r**2/11 + 17. Determine y so that z(y) = 0.
0, 2
Let h(l) = -5*l**5 - 2*l**4 + 4*l**3 + 2*l**2 - 3*l. Let r(q) = -q**5 - q**4 - q**3 + q**2. Let n(a) = -h(a) + 2*r(a). Let n(m) = 0. What is m?
-1, 0, 1
Let k(h) be the first derivative of 1/2*h**4 + 2 + 1/5*h**5 - h**2 - h + 0*h**3. Solve k(t) = 0.
-1, 1
Let l(b) be the second derivative of -b**6/160 + b**5/80 + 3*b**2 - 3*b. Let h(i) be the first derivative of l(i). Determine p, given that h(p) = 0.
0, 1
Let x = -27/7 - -61/14. Factor -7/4*n + 1/2*n**2 + 7/4*n**3 - x.
(n - 1)*(n + 1)*(7*n + 2)/4
Let d(x) be the third derivative of -1/3*x**3 + 1/12*x**4 + 0 + 0*x - 4*x**2 - 1/120*x**5. Factor d(n).
-(n - 2)**2/2
Let f be (-5)/(-3) + (-1)/(-3). Factor -p**4 - p**2 + 54*p - f*p**3 - 54*p.
-p**2*(p + 1)**2
Suppose 0*q + 4*q - 20 = 0. Suppose q*l - l = 0. Factor -2/3*k**3 - 2/3*k**2 + 0 + l*k.
-2*k**2*(k + 1)/3
Let r(k) = k**2 + 4*k - 3. Let v be r(-6). Let m be 24/63*v/6. Suppose -2/7 - 6/7*b**4 - m*b**3 + 4/7*b + 8/7*b**2 = 0. What is b?
-1, 1/3, 1
Suppose -363 - 234*y**2 - 57*y**3 - 3*y**4 - 3*y**3 + 660*y + 0*y**4 = 0. Calculate y.
-11, 1
Let g(l) be the first derivative of -l**4/6 + l**3/6 + l**2/2 + 2*l + 3. Let i(a) be the first derivative of g(a). Determine t, given that i(t) = 0.
-1/2, 1
Let c(j) be the second derivative of -3/2*j**2 + 5/2*j**3 + 0 + j - 9/16*j**4. What is u in c(u) = 0?
2/9, 2
Let f be -12*(-2)/(-15) + 2. Find q, given that -12/5*q**3 - f*q**5