a - 5*a**2.
-4*(a - 9)*(2*a + 3)
Suppose j = 4*p, 5*p = -3*j + 4*j + 1. Factor -3*o**j + 3*o**5 - o**3 - 8*o**3 + 3*o**3.
3*o**3*(o - 2)*(o + 1)
Let -3*t**4 - 27*t**3 - 2696*t + 4*t**5 + 2696*t - t**5 + 27*t**2 = 0. What is t?
-3, 0, 1, 3
Let a(d) be the third derivative of -d**6/80 + 13*d**5/60 - 37*d**4/48 + 7*d**3/6 + d**2 + 117*d. Solve a(g) = 0.
2/3, 1, 7
Suppose 0 = -2*h + 8 - 20. Let n(w) = -w**2 - 7*w - 2. Let t be n(h). Factor -3*l**4 - t - 10*l**3 - 14*l - 9*l**2 + 8*l**2 + l**4 - 17*l**2.
-2*(l + 1)**3*(l + 2)
Let s(y) be the third derivative of y**7/945 - y**6/180 - y**5/54 + y**4/36 + 4*y**3/27 - 37*y**2. Let s(g) = 0. What is g?
-1, 1, 4
Let y(j) = -2*j**2 - 2*j + 24. Let p be y(-4). Suppose 9/7*b**3 + 3*b**5 - 6/7*b**2 + 0 + 36/7*b**4 + p*b = 0. Calculate b.
-1, 0, 2/7
Let c(k) = 9*k**2 - 6*k - 13. Let n(v) = 4*v**2 - 3*v - 6. Let p be 2/8 + (-115)/(-20). Let r(m) = p*c(m) - 13*n(m). Find b such that r(b) = 0.
-3/2, 0
Let z = -7164 + 64484/9. Factor -4/9*a + z*a**2 - 4/9.
4*(a - 1)*(2*a + 1)/9
Suppose -3*k + 0*x + 22 = -5*x, 26 = 4*k - 5*x. Let c(i) be the third derivative of 1/120*i**6 + 1/40*i**5 + 0*i**3 + 0*i + 3*i**2 + 1/48*i**k + 0. Factor c(t).
t*(t + 1)*(2*t + 1)/2
Let p(j) be the first derivative of -j**7/6720 + j**6/2880 + j**5/960 - j**4/192 - 4*j**3/3 - 30. Let d(l) be the third derivative of p(l). Factor d(x).
-(x - 1)**2*(x + 1)/8
Let a(c) be the third derivative of -2/21*c**3 + 0*c - 13/84*c**4 + 13*c**2 - 11/210*c**5 + 0. Determine u so that a(u) = 0.
-1, -2/11
Let j = 1759 - 1759. Factor -4/3*v**4 + j + 4/3*v**2 - 4/3*v + 4/3*v**3.
-4*v*(v - 1)**2*(v + 1)/3
Let p(i) = -10*i**2 - 50*i - 40. Let z(k) = k - 11. Let t be z(16). Let g(s) = -5*s**2 - 25*s - 20. Let l(u) = t*g(u) - 2*p(u). Factor l(d).
-5*(d + 1)*(d + 4)
Let q(r) = -4*r**3 + 4*r**2 - 2*r + 2. Let k(i) = -3 + 0*i**3 + i + 2 + 0 + i**3 - i**2. Let n(m) = 6*k(m) + 2*q(m). Find t, given that n(t) = 0.
-1, 1
Let n(f) be the third derivative of f**5/270 + 2*f**4/27 + 16*f**3/27 + 5*f**2. Factor n(l).
2*(l + 4)**2/9
Let p(r) be the second derivative of -r**8/1680 + r**7/105 - r**6/15 + 4*r**5/15 + 5*r**4/6 + 4*r. Let i(q) be the third derivative of p(q). Factor i(s).
-4*(s - 2)**3
Let q(y) = -y**3 + 8*y**2 + 10*y - 7. Let n be q(9). Suppose -2*c + 13 = 3*m, n = 3*m - 4*c + 1. Suppose -2*g**m - 2 + 6 + 9*g - 3*g = 0. Calculate g.
-1, 2
Factor 2/9*v**2 - 112/9*v - 232/9.
2*(v - 58)*(v + 2)/9
Let x(m) = 23*m**2 + 167*m + 127. Let z(u) = 4*u**2 + 28*u + 21. Let a(h) = -6*x(h) + 34*z(h). Factor a(v).
-2*(v + 1)*(v + 24)
Let q(v) be the second derivative of 2*v**3 - 1/30*v**6 - 3/20*v**5 + 0 + 4*v**2 + 1/6*v**4 + 3*v. Determine l so that q(l) = 0.
-2, -1, 2
Let m(y) be the second derivative of y**6/135 - y**5/90 - 85*y + 3. Determine o so that m(o) = 0.
0, 1
Let o = -3/220 - -467/1980. Let d(r) be the second derivative of -1/36*r**4 + 0 - 1/2*r**2 + 6*r + o*r**3. Factor d(n).
-(n - 3)*(n - 1)/3
Let c(j) be the first derivative of j**4/2 - 2*j**3/3 - 8*j**2 + 24*j - 248. Factor c(v).
2*(v - 2)**2*(v + 3)
Let r = 8904 + -8901. Factor 0*d**2 - 5/6*d**r + 0 - 5/3*d**4 + 0*d + 5/2*d**5.
5*d**3*(d - 1)*(3*d + 1)/6
Factor 22/7*i - 2/7*i**2 - 36/7.
-2*(i - 9)*(i - 2)/7
Find j, given that 4 + 14*j - 11*j + 4*j**3 + 5*j + 12*j**2 - 4 = 0.
-2, -1, 0
Let g(i) = -i**3 - i**2 + i. Let f(m) = -3*m**3 + m. Let p be -1*(-4)/((-7)/((-7)/(-4))). Let k(d) = p*f(d) + 2*g(d). What is x in k(x) = 0?
0, 1
Let p(w) be the second derivative of w**6/120 - 3*w**5/40 + w**4/4 - w**3/3 + 17*w. Determine n so that p(n) = 0.
0, 2
Let n(j) be the second derivative of -j**7/63 + 2*j**6/45 + 3*j**5/5 + 16*j**4/9 + 23*j**3/9 + 2*j**2 + j + 122. Factor n(m).
-2*(m - 6)*(m + 1)**4/3
Let l(y) be the second derivative of y**7/210 + y**6/60 + y**5/60 - 11*y**2/2 + 13*y. Let g(f) be the first derivative of l(f). Factor g(n).
n**2*(n + 1)**2
Suppose -2*k + 22 = 4*x, 2*x = 6*x - 3*k + 3. Let u be -2 + x + (3 - -1)/2. Solve -2/15*t**u + 0 + 0*t**2 + 0*t = 0 for t.
0
Let n(p) = -7*p**2 + 614*p - 31831. Let a(t) = -t**2 - t - 1. Let m(h) = 4*a(h) - n(h). Factor m(w).
3*(w - 103)**2
Let q be (-5)/(10/(-3)) - (-1)/2. Suppose -3*s + 12 = 3*m, q*s = -5*m - 2 + 16. Suppose i + 1/2 + 1/2*i**m = 0. Calculate i.
-1
Let i(m) be the second derivative of -m**7/70 + 3*m**6/25 - 27*m**5/100 - m**4/5 + 6*m**3/5 + 467*m. Suppose i(b) = 0. What is b?
-1, 0, 2, 3
Suppose 333 + 475 + 185 = 331*k. Factor 0 + 1/3*w**3 + k*w - 2*w**2.
w*(w - 3)**2/3
Let d be 24/(-32)*(2 + (-174)/45) + -1. Factor 4/5*w**3 + d*w**4 + 0*w**2 - 4/5*w - 2/5.
2*(w - 1)*(w + 1)**3/5
Let c = -1282 - -3848/3. Factor c + 1/3*j**2 + j.
(j + 1)*(j + 2)/3
Let h(g) be the second derivative of g**5/4 + 75*g**4/4 + 440*g**3 + 1210*g**2 + 98*g. Let h(l) = 0. Calculate l.
-22, -1
Let x = -390 + 401. Let a(s) be the first derivative of -x - 5/3*s**2 + 8/3*s + 2/9*s**3. Factor a(h).
2*(h - 4)*(h - 1)/3
Let y be 34/6 + (-4)/(-12). Suppose -y = 6*v - 24. Suppose 2*c**4 + v*c**3 - 8*c**5 - 8*c**4 + 11*c**5 = 0. What is c?
0, 1
Let b(c) = -21 - 7*c**3 + 30 - 4*c**2 + 13*c + 6*c**3. Let v be b(-6). Factor 0 + 1/3*y**4 - 2/3*y**v - 1/3*y**2 + 2/3*y.
y*(y - 2)*(y - 1)*(y + 1)/3
Let q = 2664 + -2662. Let p(w) be the first derivative of 0*w**q - 4/3*w**3 + 8 - 8/5*w**5 + 9/2*w**4 + 0*w. Factor p(z).
-2*z**2*(z - 2)*(4*z - 1)
Let v(f) = -6*f**2 + 4*f + 119. Let h(k) = -k**2 - 6*k - 1. Let p(w) = h(w) - v(w). Let p(o) = 0. What is o?
-4, 6
Let u be ((-1)/69)/(1/(-9)). Let y = 11/92 + u. Solve -1/4*v - y*v**2 + 0 = 0.
-1, 0
Let s(j) = 19*j**2 - 174*j - 175. Let n(y) = -176*y**2 + 1568*y + 1576. Let f(k) = 3*n(k) + 28*s(k). Let f(w) = 0. What is w?
-1, 43
Let o = 393 - 391. Let x(y) be the first derivative of -10 - 2*y + o*y**2 - 2/3*y**3. Let x(r) = 0. Calculate r.
1
Factor -12*p**2 + 3/5*p**3 - 63/5*p + 0.
3*p*(p - 21)*(p + 1)/5
Suppose 0 = -17*r + 50*r - 99. Let s(f) be the third derivative of 1/540*f**6 + 0*f**5 + 0*f + 0*f**4 - 9*f**2 + 0 + 0*f**r. Factor s(w).
2*w**3/9
Determine g, given that 40*g**4 - 44*g**3 - 54*g**2 + 4 + 112*g**5 - 10*g**5 + 66*g - 124*g**3 + 10*g**2 = 0.
-1, -1/17, 2/3, 1
Suppose -2*v + 4 = 3*s - 12, 0 = -5*v + 2*s + 2. Let r be (-2)/1 - (-2 + 5)*-2. Factor k**v - 3*k**2 - k + r*k**2 - k**2.
k*(k - 1)
Let c be ((-8)/(-2))/(-1 - -2). Let b = 1 + c. Determine o so that -4*o**5 + 2*o**b - o**4 + 2*o**2 + 2*o**3 - o**4 = 0.
-1, 0, 1
Let c = 1754 + -1752. Determine p so that 2*p**c - p - 1/2 + p**3 - 3/2*p**4 = 0.
-1, -1/3, 1
Suppose -22*c + 73 = -59. Suppose -18 + 36 = c*v. Factor -v*f**4 + 51/5*f**3 + 33/5*f - 6/5 - 63/5*f**2.
-3*(f - 1)**3*(5*f - 2)/5
Let b(u) = -4*u**4 + 2*u**3 - 4*u**2 - 3. Let y be (7 - 1)*(20/4 - 6). Let m(c) = -15*c**4 + 9*c**3 - 16*c**2 - 11. Let a(p) = y*m(p) + 22*b(p). Factor a(o).
2*o**2*(o - 4)*(o - 1)
Let a(z) be the second derivative of z**5/70 + z**4/42 - 10*z**3/21 + 8*z**2/7 + 15*z + 2. Solve a(s) = 0 for s.
-4, 1, 2
Let m(d) be the third derivative of 7/30*d**6 + 9/5*d**5 + 0 + 1/4*d**8 - 86/105*d**7 + 0*d - 8/3*d**3 + 7*d**2 - 4/3*d**4. What is r in m(r) = 0?
-2/3, -2/7, 1
Let q(m) be the second derivative of -3*m**4 - 5*m**3 - 21*m**2/2 - 19*m. Let f(t) = -7*t**2 - 6*t - 4. Let n(k) = -21*f(k) + 4*q(k). What is i in n(i) = 0?
-2, 0
Let a(b) = -8*b**2 + 868*b + 231. Let l(r) = 10*r + 1. Let q(p) = -2*a(p) - 18*l(p). Factor q(v).
4*(v - 120)*(4*v + 1)
Suppose 5*m - 3*m = -4*v - 10, v - 4*m - 20 = 0. Let q be (-14 - -16) + (0 - v). Let -q + 3*u**3 + 4 - 2*u**3 - 2*u**2 + u - 2*u**3 = 0. Calculate u.
-2, -1, 1
Let c(a) = 2*a + 5. Let n be c(0). Factor 5*h**2 - n + 4 + 1 - 5*h**3.
-5*h**2*(h - 1)
Let q(t) be the second derivative of -t**7/1260 - t**6/360 - 15*t**2/2 - 33*t. Let d(v) be the first derivative of q(v). Factor d(o).
-o**3*(o + 2)/6
Let p(r) be the first derivative of r**4/28 - 6*r**3/7 - 20*r**2/7 + 559. Factor p(d).
d*(d - 20)*(d + 2)/7
Let q(k) be the third derivative of -k**7/70 - k**6/5 - 13*k**5/20 - 3*k**4/4 - 5*k**2 - 56. Let q(n) = 0. What is n?
-6, -1, 0
What is q in -4/5*q**2 + 0*q + 0 + 2/5*q**4 + 2/5*q**3 = 0?
-2, 0, 1
Suppose -2/5*h**2 - 106722/5 + 924/5*h = 0. Calculate h.
231
Let w(a) be the second derivative of -a**6/75 + 9*a**5/25 - 58*a**4/15 + 104*a**3/5 - 288*a**2/5 + 2*a + 266. Find p, g