1/7*r**2 + 2/63*r**3. Factor o(m).
2*(m - 1)*(m + 3)/21
Let v = -4769/3 + 1569. Let z = v - -64/3. Find c, given that 4/3*c + 2*c**2 + z*c**3 + 0 = 0.
-2, -1, 0
Suppose 20*w + 16*w**3 + 9*w**3 - 5*w**4 - 32*w**2 - 8*w**2 = 0. Calculate w.
0, 1, 2
Suppose -8*i = 1375 - 415. Let d be ((-8)/10)/(i/100). Factor -1/3*r**2 + 1 - d*r.
-(r - 1)*(r + 3)/3
Let a(t) be the second derivative of -t**4/108 + t**3/18 + 5*t**2/9 - 15*t. Suppose a(r) = 0. Calculate r.
-2, 5
Suppose 3*p + 5*y = -0*p - 15, -3 = -5*p + y. Suppose -9 = -3*a - p. Factor -11*x**5 - 2*x**3 - 10*x**a + 18*x**5 - 3*x**5 + 8*x**2.
4*x**2*(x - 1)**2*(x + 2)
Let k(g) be the third derivative of -1/7*g**4 + 0*g + 1/105*g**5 + 4*g**2 - 3/7*g**3 + 0 + 1/105*g**6 - 1/735*g**7. Find q such that k(q) = 0.
-1, 3
Let g be (-810)/(-35) - 2/(1 - -13). Find c, given that -18 - 10*c**2 - 15*c - g*c - 2*c**3 + 8*c - 4*c**2 = 0.
-3, -1
Suppose -4*r - 4 = -d, -4*r + 16 = 4*d - 9*r. Suppose y = b - 1 - d, 10 = 2*b + 3*y. Solve 0*m**4 - 2*m**4 - 3*m**b - 2*m**4 + m**4 = 0.
-1, 0
Suppose 16*u = 23*u - 28. Suppose -4*k = -2*k - u. Factor 1/3 + 2/3*g + 1/3*g**k.
(g + 1)**2/3
Suppose -20 = 65*k - 60*k. Let m be 2 + ((-8)/(-14) - k/(-2)). Suppose m + 6/7*d + 2/7*d**2 = 0. What is d?
-2, -1
Let t(h) be the first derivative of 4*h**3/3 + 18*h**2 - 27. Suppose t(y) = 0. What is y?
-9, 0
Let u be 36 + -45 + (-1 - -13). Suppose -2*t = 5 - 11. Factor -3/5*d**t - 3/5*d**2 + u*d - 9/5.
-3*(d - 1)**2*(d + 3)/5
Let i(l) = l**5 + l**4. Let f(q) = 7*q**5 + 9*q**4 + 11*q**3 - 29*q**2 + 26*q - 8. Let y(v) = -3*f(v) + 24*i(v). Solve y(p) = 0.
-4, 1, 2
Factor -2/15*h**3 + 2/15*h**2 + 2/5 + 2/3*h.
-2*(h - 3)*(h + 1)**2/15
What is f in -30/7 - 62/7*f - 4/7*f**2 = 0?
-15, -1/2
Let h(v) be the third derivative of 0 + 7/20*v**4 - 1/25*v**5 + 0*v - 1/100*v**6 - 4/5*v**3 + 26*v**2. Factor h(n).
-6*(n - 1)**2*(n + 4)/5
Let r(z) = -z**2 - 13*z + 18. Let o be r(-14). Let x be o/2 - (4 + -4). Factor -4*k + 4*k**4 + 20*k**3 + 8 + 33*k - k + 24*k**2 + 12*k**x.
4*(k + 1)**3*(k + 2)
Let y(k) = k**3 + k - 1. Let w(b) = 10*b**3 + 4*b**2 - 58*b - 70. Let m(z) = w(z) - 6*y(z). Factor m(f).
4*(f - 4)*(f + 1)*(f + 4)
Let k be (-1)/(-4) + (1655/260 - 6). Let t = 7 - 7. Factor t + k*g**3 - 2/13*g**4 - 10/13*g**2 + 4/13*g.
-2*g*(g - 2)*(g - 1)**2/13
Let g(i) = 20*i**4 - 9 - 3*i + 7*i**3 - 15*i**2 + 6*i**3 + 5 + 9. Let q(n) = -30*n**4 - 20*n**3 + 22*n**2 + 4*n - 8. Let p(o) = -8*g(o) - 5*q(o). Factor p(d).
-2*d*(d - 1)*(d + 1)*(5*d + 2)
Factor 116 + 41*s**2 + 103*s - 2*s**3 + 67*s**2 - 2*s**3 + 125*s.
-4*(s - 29)*(s + 1)**2
Let h be 192/(-14) + (1 - -13). Solve 2/7 + 0*i - h*i**2 = 0 for i.
-1, 1
Let s(q) be the second derivative of -q**6/360 + q**4/72 - 13*q**2/2 + 9*q. Let l(p) be the first derivative of s(p). Determine j so that l(j) = 0.
-1, 0, 1
Let u(z) be the second derivative of -z**5/20 + 7*z**4/6 - 22*z**3/3 + 20*z**2 - 18*z + 1. Factor u(r).
-(r - 10)*(r - 2)**2
Let l = -545/4 + 137. Let s(z) be the first derivative of 8 + 6*z - l*z**4 + 9/2*z**2 + 0*z**3. Solve s(i) = 0 for i.
-1, 2
Suppose 2*r = -3*m, 4*m - 13 = -5*r + 1. Suppose 0 = -0*c + 2*c - r. Factor 4*w**2 - 4 - 41*w**3 + 5*w + 5*w + 31*w**c.
-2*(w - 1)*(w + 1)*(5*w - 2)
Let h(x) be the first derivative of x**5/60 - x**4/6 + 9*x**2 - 10. Let y(c) be the second derivative of h(c). Let y(g) = 0. Calculate g.
0, 4
Let t = 3381/754 + 6/377. Let 3/4*p**2 + 15/4*p + t = 0. What is p?
-3, -2
Let r(p) be the second derivative of p**5/4 - 65*p**4/72 + 5*p**3/18 + 197*p. Suppose r(u) = 0. Calculate u.
0, 1/6, 2
Suppose -8*m - 60 = -13*m. Suppose 20*f**5 + 14*f + 21*f + m*f**4 - 27*f - 12*f**2 - 28*f**3 = 0. Calculate f.
-1, 0, 2/5, 1
What is i in -3/5*i**2 + 0*i + 0 = 0?
0
Let j(n) = n**3 + 2*n**2 - 3*n - 3. Let q(u) = -u + 6. Let g be q(8). Let t be j(g). Determine c so that 2*c - 2*c - 2*c**t - 4*c**5 - 6*c**4 = 0.
-1, -1/2, 0
Let l = -646 - -651. Let k(w) be the first derivative of 4*w**3 + 0*w**4 - 2 - 4/5*w**l - 4*w**2 + 0*w. Factor k(x).
-4*x*(x - 1)**2*(x + 2)
Let l = -27 - -34. Factor 9 + 3*o**3 - 20*o + 35*o + l*o**2 - 5*o**3 + 3*o**3.
(o + 1)*(o + 3)**2
Let q be ((-3)/(-9))/((-5)/(-3)). Let m be 7 + 4*(-25)/20. Determine f so that q*f**m - 3/5*f + 2/5 = 0.
1, 2
Suppose 15*g - 134 = 136. Factor -v**3 + g + 7*v**2 - 66 - 4*v + 36.
-(v - 6)*(v - 2)*(v + 1)
Let s(h) be the first derivative of h**3/4 - 33*h**2/8 - 45*h - 731. Find n, given that s(n) = 0.
-4, 15
Let i(x) be the second derivative of -3*x**5/20 + 19*x**4 - 722*x**3 - 11*x + 15. Factor i(p).
-3*p*(p - 38)**2
Let y(h) = -3*h + 6. Let w be y(2). Let a(g) be the first derivative of 0*g**3 + 3/4*g**4 + w*g - 2*g**6 - 9/5*g**5 + 2 + 0*g**2. Solve a(d) = 0.
-1, 0, 1/4
Let p(g) be the third derivative of g**8/42 + 2*g**7/15 + 3*g**6/10 + g**5/3 + g**4/6 - 2*g**2 - 3. Determine u so that p(u) = 0.
-1, -1/2, 0
Let r(z) be the first derivative of -2*z**3/45 + 82*z**2/15 - 3362*z/15 - 35. Factor r(u).
-2*(u - 41)**2/15
Let f = -9139/20 + 457. Let m(r) be the first derivative of 0*r**4 - 1/6*r**3 + f*r**5 + 1/4*r + 0*r**2 - 4. Solve m(s) = 0 for s.
-1, 1
Let n(m) be the second derivative of m**4/4 + 11*m**3/2 + 42*m**2 + 357*m. Find x such that n(x) = 0.
-7, -4
Suppose 3*p - 6 = -0*p. Let r be (-574)/(-196) + 1*(-15)/10. Let 2*i**2 + r*i**5 - 6/7*i**3 - p*i**4 + 0 - 4/7*i = 0. What is i?
-1, 0, 2/5, 1
Let a be 57/70 + 8*(-5)/50. Let c(j) be the second derivative of a*j**5 + 1/105*j**6 - 1/14*j**4 - 5/21*j**3 + 0 - 2/7*j**2 - j. Solve c(u) = 0 for u.
-1, 2
Let g(f) = f**2 - f - 129. Let t be g(-11). Let y(v) be the second derivative of -3*v - 1/72*v**4 + 1/9*v**t - 1/3*v**2 + 0. Find j such that y(j) = 0.
2
Let g(t) be the third derivative of -30*t**2 + 8/3*t**3 + 0 + 0*t - 1/30*t**6 + 1/3*t**5 - 4/3*t**4. Factor g(a).
-4*(a - 2)**2*(a - 1)
Factor 107*u**2 + 48*u**2 + 192000 + 205*u**2 + 3*u**3 - 1187*u + 15587*u.
3*(u + 40)**3
Let x(c) be the second derivative of 1/60*c**5 + 0*c**3 + 0*c**2 + 0*c**4 + 4*c + 0. Factor x(i).
i**3/3
Let h(y) = 4*y**5 - 39*y**4 + 83*y**3 - 69*y**2 + 43*y. Let l(z) = -z**5 + 10*z**4 - 21*z**3 + 17*z**2 - 11*z. Let q(k) = -6*h(k) - 22*l(k). Factor q(f).
-2*f*(f - 2)**3*(f - 1)
Let i(o) be the first derivative of o**5/100 + o**4/60 - o - 3. Let z(k) be the first derivative of i(k). Factor z(x).
x**2*(x + 1)/5
Let w(z) = -2*z**5 - 17*z**4 + 13*z**2 + 13*z. Let d(t) = -t**5 - 8*t**4 + 6*t**2 + 6*t. Let r(c) = 13*d(c) - 6*w(c). Determine f so that r(f) = 0.
-2, 0
Suppose 0 = -46*n - 34*n + 136 + 24. What is s in -4/7 + 2/7*s + 2/7*s**n = 0?
-2, 1
Let t(b) be the second derivative of -b**7/28 + 3*b**6/5 + 39*b**5/40 + 61*b. Factor t(m).
-3*m**3*(m - 13)*(m + 1)/2
Let m(k) = k**3 + k**2 - 9*k - 6. Let r be m(-3). Find y such that -3*y + 12*y**4 + 16*y**2 - 2*y**5 + 3*y - 24*y**r = 0.
0, 2
Let t(h) be the first derivative of -15*h**4/4 + 85*h**3/3 - 55*h**2 + 40*h + 311. Determine w so that t(w) = 0.
2/3, 1, 4
Let y(d) = -2*d**3 - 4*d**2 + 2*d + 7. Let r be y(-3). Suppose -r*i - 71*i**2 + 67*i**2 + 67*i = 0. Calculate i.
0, 12
Let r(a) be the second derivative of a**7/14 - a**6/2 + 3*a**5/10 + 2*a**4 + 2*a - 2. Determine s, given that r(s) = 0.
-1, 0, 2, 4
Determine l, given that 1/4*l**3 - 19/4*l**2 + 25 + 20*l = 0.
-1, 10
Let g be (-255)/(-935)*(-44)/(-8). Factor g*j - 1 - 1/2*j**2.
-(j - 2)*(j - 1)/2
Let g be -2 - (56 - (-12)/3). Let b = 188/3 + g. Determine p, given that b*p**3 + 0*p - 8/3 + 2*p**2 = 0.
-2, 1
Factor -118/9*i**3 - 1/9*i**5 - 20/9*i**4 - 9*i + 0 - 20*i**2.
-i*(i + 1)**2*(i + 9)**2/9
Let s be 0/((-2)/((-4)/4)). Let g = 2/75 + 7/50. Solve g*z**5 + 1/3*z**2 + s*z + 0 - 1/2*z**3 + 0*z**4 = 0.
-2, 0, 1
Let d(q) = 7*q - 5. Let x(k) = -15*k + 11. Let p(g) = -13*d(g) - 6*x(g). Let y be p(-9). Factor 2*b**4 - y*b**3 - 2*b**2 + 23*b**2 - 11*b**2 - 4*b.
2*b*(b - 2)*(b - 1)**2
Let j(v) = -3*v - 35. Let k be j(-13). Let 6*z + 10*z + 0*z**2 - 16 + k*z**2 - 4*z = 0. What is z?
-4, 1
Let z be (-3 + 9/3)/(-1). Suppose 58 + 29 = 29*w. Factor 1/2*s**2 + 0*s + z + 1/2*s**4 - s**w.
s**2*(s - 1)**2/2
Let a(x) be the second derivative of 0*x**2 + 0*x**3 - 1/4*x**5 + 5/42*x**7 - 1/6*x**6 - 5*x + 5/12*x**4 + 0. Determine h so that a(h) = 0.
-1, 0, 1
Let k(b) be the second derivative of b**5/5 - 91*b**4/3 - 370*b**3/