z - o.
-(z + 1)*(z + 12)/4
Let n(w) be the third derivative of w**7/945 - w**6/540 - w**2 + 182*w. Determine r so that n(r) = 0.
0, 1
Let n(l) = 7*l - 12. Let g be n(2). Solve 0*r**3 - 24/5*r + 3/5*r**4 - 18/5*r**g - 9/5 = 0.
-1, 3
Let y = -56919/40 + 1423. Let o(q) be the second derivative of 0*q**4 + 0*q**2 + 0 - 2*q + 0*q**3 + y*q**5 - 1/60*q**6. Factor o(p).
-p**3*(p - 1)/2
Let n(p) = -10*p**3 + 28*p**2 - 40*p - 804. Let v(l) = -28*l**3 + 85*l**2 - 120*l - 2411. Let q(h) = 11*n(h) - 4*v(h). Factor q(i).
2*(i - 10)**2*(i + 4)
Let b be 5/1 - (1 + 0) - (-29627)/(-9116). Factor 0 + b*u**2 - 3/2*u.
3*u*(u - 2)/4
Let w(b) be the third derivative of b**8/16 + 37*b**7/175 + 39*b**6/200 - b**5/25 - b**4/10 + 2*b**2 + 25. Solve w(x) = 0.
-1, -2/5, 0, 2/7
Let w be (0 - -2)/((-2)/(-3)). Suppose -5*c = -3*y - 0*y - 13, -2*y = c. What is v in 3*v - 83 + 83 + w*v**c = 0?
-1, 0
Let m(r) be the second derivative of 25*r**6/6 + 55*r**5/4 + 65*r**4/4 + 15*r**3/2 + 255*r. Let m(p) = 0. What is p?
-1, -3/5, 0
Let j(y) be the third derivative of -y**8/84 - 2*y**7/21 - y**6/10 + 3*y**5/5 + 32*y**2 + 2. Factor j(c).
-4*c**2*(c - 1)*(c + 3)**2
Let m(f) be the first derivative of -28*f**3/3 + 62*f**2 - 48*f + 21. Find j, given that m(j) = 0.
3/7, 4
Let c = 3152 + -3149. Factor -1/2*b**2 - c - 5/2*b.
-(b + 2)*(b + 3)/2
Let p(t) be the third derivative of 0*t - 11/3*t**4 - 31/15*t**5 + 16/105*t**7 + 1/24*t**8 - 8/3*t**3 + 23*t**2 - 17/60*t**6 + 0. Solve p(w) = 0.
-2, -1, -2/7, 2
What is d in -3/2*d**2 - 3/4*d**4 - 9/4*d**3 + 0*d + 0 = 0?
-2, -1, 0
Let z be 9 - (2 + -3 - -5). Suppose 0*h = -z*h + 20. Let -2 - 3*a + 1 + 3*a**3 + 1 + a**h + a**2 - 2 = 0. What is a?
-2, -1, 1
Let z be (52 + 2 + -3)*1. Let w be (-4)/(-2)*3/z. Factor -2/17*u**3 + 0 + 4/17*u**2 - w*u.
-2*u*(u - 1)**2/17
Let o(w) = 9*w**3 - 18*w**2 - 8*w - 3. Let t(s) = -s**2 - 2*s + 1. Let p(x) = 2*o(x) + 22*t(x). Let p(z) = 0. What is z?
-1, 2/9, 4
Suppose -4*y - 18 = 5*c, -10 = -2*y - 4. Let n be (-5 - -5) + 7/((-21)/c). Factor 0 + 2/3*w + 16*w**3 + 32/3*w**4 + 6*w**n.
2*w*(w + 1)*(4*w + 1)**2/3
Suppose 34 = 5*t + 4*z - 21, -2*z = -10. Let c(u) = -u**3 + 8*u**2 - 7*u + 2. Let k be c(t). Factor -q**2 + k*q**2 - 3*q**2 - q**2 + 9*q - 3*q**4 - 9*q**3 + 6.
-3*(q - 1)*(q + 1)**2*(q + 2)
Let y(z) be the first derivative of z**5/10 - z**4/8 - z**3/2 + z**2/4 + z - 38. Determine n so that y(n) = 0.
-1, 1, 2
Let y be ((-412)/309)/((-14)/3). Factor 0 - y*u**4 + 2/7*u**2 + 4/7*u - 4/7*u**3.
-2*u*(u - 1)*(u + 1)*(u + 2)/7
Suppose 30*i - 15*i + 101*i = 0. Let f(z) be the third derivative of 0 + 1/30*z**5 + i*z**3 - 1/12*z**4 + 0*z + 4*z**2. Factor f(o).
2*o*(o - 1)
Suppose -3*r**2 - 6/5*r - 3/5*r**4 - 12/5*r**3 + 0 = 0. Calculate r.
-2, -1, 0
Let r(j) be the third derivative of 0*j - j**2 + 1/360*j**5 + 0 + 0*j**4 + 0*j**3. Determine d so that r(d) = 0.
0
Let w(o) = -o**2. Let c(s) = s**3 + 9*s**2 - 2. Let r be c(-9). Let t = 16 + -22. Let z(h) = 2*h**2 + 4. Let k(u) = r*z(u) + t*w(u). Factor k(b).
2*(b - 2)*(b + 2)
Let g(x) be the second derivative of -x**6/120 + 3*x**5/10 - 11*x**3/3 - 44*x. Let q(i) be the second derivative of g(i). Factor q(s).
-3*s*(s - 12)
Let b be 210/190 + 8/(-76) - -1. Factor -b + 3/4*m**3 - 3*m + 1/2*m**2.
(m - 2)*(m + 2)*(3*m + 2)/4
Let b(r) be the third derivative of 5*r**8/4032 - r**7/144 + r**6/72 - 13*r**5/30 + 15*r**2. Let w(a) be the third derivative of b(a). Factor w(d).
5*(d - 1)*(5*d - 2)
Let p be 52/12 - 2/6. Find f, given that 230*f**3 - 26*f**p + 55*f**2 + 64*f - 241*f**2 - 74*f**4 - 8 = 0.
2/5, 1/2, 1
Let r(g) = g**2 + 30*g + 4. Let u be r(-30). Suppose -5*t - 4 = -5*o + 11, -u*o = 3*t + 9. Suppose -1/3*b**2 + o + 1/3*b = 0. What is b?
0, 1
Factor -7/4*s + 5/4*s**2 - 1/4*s**3 + 3/4.
-(s - 3)*(s - 1)**2/4
Suppose v + 5 = h, -2*h = -5*v - 1 - 30. Let o be 36/42*v/(-4). Factor 0*w + 3/2 - o*w**2.
-3*(w - 1)*(w + 1)/2
Suppose -4*i + 4*y - 300 = 0, y = 3*i + 135 + 92. Let j = 79 + i. Solve -6/7*q**j + 0*q - 6/7*q**4 - 2/7*q**5 + 0 - 2/7*q**2 = 0.
-1, 0
Factor 33*a**2 - 1049*a**3 + 524*a**3 + 519*a**3 + 18*a.
-3*a*(a - 6)*(2*a + 1)
Let s(h) = -9*h**2 - 190*h - 120. Let j(r) = 240*r**2 + 5130*r + 3240. Let u(k) = 2*j(k) + 55*s(k). Factor u(v).
-5*(v + 12)*(3*v + 2)
Let q(o) be the third derivative of -5*o**6/8 - 17*o**5/4 - 31*o**4/8 - 3*o**3/2 + 44*o**2. Determine c, given that q(c) = 0.
-3, -1/5
Let k(v) be the second derivative of v**7/490 - 3*v**6/280 + 5*v**2/2 - v. Let g(r) be the first derivative of k(r). Factor g(u).
3*u**3*(u - 3)/7
Let w(h) be the first derivative of -h**4/24 - 16*h**3/9 - 64*h**2/3 - 62. Find u such that w(u) = 0.
-16, 0
Suppose -6 = 4*c - 18. Let r be 3 - -2 - (1 - (-1 + 0)). Suppose -17*m**3 - 16*m**2 + 4 - 28*m - m**r - 2*m**c + 60*m**2 = 0. Calculate m.
1/5, 1
Let q(a) be the second derivative of -4/3*a**3 + 0 - 1/210*a**5 + 0*a**2 - 1/1260*a**6 + 8*a + 0*a**4. Let l(b) be the second derivative of q(b). Factor l(y).
-2*y*(y + 2)/7
Let s be (0 + -3)/((-4)/8). Let t(o) be the third derivative of -1/12*o**4 - 4*o**2 + 0*o + 0 + 1/60*o**s + 1/30*o**5 - 1/3*o**3. Factor t(k).
2*(k - 1)*(k + 1)**2
Let t(v) be the first derivative of -5*v**3/3 + 75*v**2/2 + 11. Factor t(x).
-5*x*(x - 15)
Let f be (-3)/(6/(-1594)) - (-10 + 7). Let t = f - 5588/7. Factor 8/7 + 4/7*k**2 - t*k.
4*(k - 2)*(k - 1)/7
Let l be 5/(-2)*130/(-39) + -5. What is j in l*j + 5/3*j**2 + 5/3 = 0?
-1
Let f(g) = -2*g**3 + 10*g**2 + 26*g + 26. Let n(m) = -4*m**3 + 20*m**2 + 52*m + 50. Let s(r) = -11*f(r) + 6*n(r). Suppose s(p) = 0. Calculate p.
-1, 7
Let b(w) be the third derivative of w**6/90 - 7*w**5/15 + 4*w**4 - 136*w**3/9 - w**2 + 231*w. Let b(q) = 0. Calculate q.
2, 17
Let x be 1/((455/(-10))/7*(-1)/13). Suppose 3/4*m - 3/4*m**3 - 3/8*m**x + 3/8 = 0. What is m?
-1, -1/2, 1
Factor 16 - 27*r**2 - 16 - 24*r - 37*r**2 + 67*r**2.
3*r*(r - 8)
Solve -13*p + 8*p**2 + 7*p**2 - 19*p**2 + 9*p**2 - 12*p - 70 = 0 for p.
-2, 7
Let f be 402/138 - (-20)/230. Let j(i) be the first derivative of -1/5*i**5 + 0*i**f + 1/6*i**6 + 0*i**4 + 0*i + 0*i**2 + 6. Factor j(q).
q**4*(q - 1)
Let y(i) be the third derivative of i**6/360 + i**5/15 - 128*i**3/9 + 67*i**2. What is m in y(m) = 0?
-8, 4
Find u, given that 93*u**2 + 29*u**3 + 91*u**3 + 64*u**4 + 37*u**2 - 62*u**2 + 14*u**3 - 2*u**5 = 0.
-1, 0, 34
Let k be 8 + (-99)/63 - (-6)/(-14). Let g(x) be the third derivative of 5/108*x**4 + 2/27*x**3 - 6*x**2 + 0*x + 1/540*x**k + 0 + 2/135*x**5. Factor g(w).
2*(w + 1)**2*(w + 2)/9
Let r = 6 - 3. Factor -3 + 4*c**5 - 2*c**5 + 15*c - r*c**5 + 30*c**3 - 15*c**4 + 4*c**5 - 30*c**2.
3*(c - 1)**5
Let g(x) be the third derivative of x**5/140 + x**4/8 - 9*x**3/7 + 81*x**2. Let g(n) = 0. What is n?
-9, 2
Let d(k) be the second derivative of k**6/285 - 17*k**5/190 + 17*k**4/19 - 84*k**3/19 + 216*k**2/19 + 66*k. Find c, given that d(c) = 0.
2, 3, 6
Let f(i) = -i + 21. Suppose -58 = -4*a + 14. Let x be f(a). Factor 4*c**x - 4*c**3 - c**3 + 6*c**4 - 2*c**3 - 3*c**5.
-3*c**3*(c - 1)**2
Suppose -21*r = -16*r - 25. Let p(g) be the first derivative of -9/10*g**r - 1/4*g**6 + 3/2*g + g**3 + 9/4*g**2 - 3/4*g**4 + 8. Determine q so that p(q) = 0.
-1, 1
Let z(k) be the first derivative of -k**6/3 - 4*k**5 - 37*k**4/2 - 128*k**3/3 - 52*k**2 - 32*k - 233. Suppose z(r) = 0. What is r?
-4, -2, -1
Let m(k) be the second derivative of -3/110*k**5 + 2/33*k**4 + 0*k**2 + 0*k**3 + 0 - 1/165*k**6 - 27*k. Determine z so that m(z) = 0.
-4, 0, 1
Factor -97*t + 27*t**2 + 61*t + 31*t**2 + 5*t**3 + 2*t**2 - 104*t.
5*t*(t - 2)*(t + 14)
Let q(r) be the third derivative of 1/7*r**3 + 0 + 1/735*r**7 + 0*r + 5/42*r**4 + 1/70*r**6 + 2*r**2 + 2/35*r**5. Determine x so that q(x) = 0.
-3, -1
Factor 14/15*c**3 + 2/3*c + 22/15*c**2 + 0 + 2/15*c**4.
2*c*(c + 1)**2*(c + 5)/15
Let r(j) be the first derivative of 2*j**6/9 - 8*j**5/15 - j**4 + 16*j**3/9 + 8*j**2/3 - 21. Factor r(t).
4*t*(t - 2)**2*(t + 1)**2/3
Let j(y) be the third derivative of 3*y**8/1400 + y**7/700 - 2*y**6/225 - y**5/75 + 8*y**3/3 + 22*y**2. Let z(k) be the first derivative of j(k). Factor z(n).
2*n*(n - 1)*(3*n + 2)**2/5
Suppose 9*a = 10*a + 2*f, -5*a = -f. Let n(t) be the second derivative of a + 2/9*t**2 + 4/27*t**3 + 1/27*t**4 + 10*t. Find o such that n(o) = 0.
-1
Let r be (-360)/195 + 3*10/15.