derivative of 0*t**3 - 1/300*t**6 + 0 + 1/1050*t**7 + 1/60*t**4 + 0*t - 6*t**2 - 1/300*t**5. Factor u(p).
p*(p - 2)*(p - 1)*(p + 1)/5
Factor -1/5*u**4 - 4/5*u - 9/5*u**2 + 0 - 6/5*u**3.
-u*(u + 1)**2*(u + 4)/5
Let h = 4 - -20. Suppose -4*f - 4*f = -h. Factor -4*o**f + 7*o - 11*o**2 - 13*o**2 + 8 + 2*o**4 + o + 18*o**2.
2*(o - 2)**2*(o + 1)**2
Let s(h) be the first derivative of 25*h**6/57 - 124*h**5/19 - 477*h**4/19 - 664*h**3/57 + 257*h**2/19 - 60*h/19 - 287. Solve s(g) = 0 for g.
-2, -1, 1/5, 15
Let f(c) be the second derivative of 0*c**2 + 0 + 1/10*c**6 + 11/16*c**4 + 14*c - 1/4*c**3 - 39/80*c**5. Solve f(m) = 0 for m.
0, 1/4, 1, 2
Let v(c) be the first derivative of c**4/2 + 10*c**3/3 + 4*c**2 + 42. Factor v(x).
2*x*(x + 1)*(x + 4)
Let u(r) = -3*r**4 - 27*r**3 + 70*r**2 - 35*r - 5. Let b(y) = -4*y**4 - 28*y**3 + 70*y**2 - 32*y - 6. Let m(g) = -5*b(g) + 6*u(g). Factor m(d).
2*d*(d - 5)**2*(d - 1)
Suppose 5*f - 149 = l, -145 = -0*f - 5*f + 5*l. Suppose 2*d + 12 = f. Find q such that -3/2*q**2 - 27/2 + d*q = 0.
3
Factor -1/4*n**2 + 6 - 5/4*n.
-(n - 3)*(n + 8)/4
Factor -180*r - 1/5*r**3 - 12*r**2 + 0.
-r*(r + 30)**2/5
Let z = 149/1320 - -2/165. Let v(y) be the first derivative of z*y**2 + 1/4*y - 3 - 1/16*y**4 - 1/12*y**3. Let v(g) = 0. What is g?
-1, 1
Let n(r) be the first derivative of -r**5/50 - 3*r**4/20 - 3*r**3/10 + 86. Let n(g) = 0. Calculate g.
-3, 0
Suppose 0 = p + p - z - 7, p + 5*z + 13 = 0. Factor -21 - 2*y**p + y**2 - 63 - 22*y - 37.
-(y + 11)**2
Factor -3*y - 119*y**3 - 8*y**2 - 6*y**2 + 100 - 2*y**2 + 117*y**3 - 7*y.
-2*(y - 2)*(y + 5)**2
Let y(a) be the third derivative of a**8/504 - a**7/315 + 42*a**2. What is x in y(x) = 0?
0, 1
Let w = -64048/5 + 12810. Suppose i + 2*i = 0. Determine l so that 2/5*l**2 + 0*l + i - w*l**3 = 0.
0, 1
Let q(u) = -u**3 - 474*u**2 - 11500*u - 21176. Let x(i) = 2*i**3 + 473*i**2 + 11500*i + 21172. Let a(w) = 3*q(w) + 4*x(w). Factor a(k).
5*(k + 2)*(k + 46)**2
Let f be 68/6 + 4 + 39/(-9). Let g(i) be the third derivative of 1/108*i**4 - f*i**2 + 0*i + 0 + 1/270*i**5 + 0*i**3. Factor g(r).
2*r*(r + 1)/9
Let g(r) be the third derivative of r**5/420 + 17*r**4/42 + 578*r**3/21 - 116*r**2. Let g(l) = 0. Calculate l.
-34
Factor -4*j**2 - 3/2*j**4 + 9/4*j - 1/2 + 7/2*j**3 + 1/4*j**5.
(j - 2)*(j - 1)**4/4
Let v(t) be the first derivative of -10 - 4/5*t**5 - 8/3*t**3 - 3*t**4 + 0*t + 0*t**2. Factor v(q).
-4*q**2*(q + 1)*(q + 2)
Let b = -191/4 + 48. Let f = -2339/4 - -585. Find t such that -1/2*t + b + f*t**2 = 0.
1
Let g(j) = j**3 + 67*j**2 + 1103*j + 33. Let u be g(-29). Determine n, given that -1/2*n**2 + n**3 + 1/4*n**5 - 1/2 - 5/4*n + n**u = 0.
-2, -1, 1
Determine b so that 8*b**2 - 3584/3 - 832/3*b + 17/3*b**3 + 1/3*b**4 = 0.
-8, 7
Let f(i) = -i**2 - 6*i - 4. Let u be f(-4). Let y(t) = t**2 - 2*t - 6. Let a be y(u). Let -1/2*m**a - 1/2*m**3 + 0 + 0*m = 0. Calculate m.
-1, 0
Let x = 68/103 - 373/721. Factor 0*o - 1/7*o**3 + x*o**4 + 0 - 1/7*o**2 + 1/7*o**5.
o**2*(o - 1)*(o + 1)**2/7
Factor 12/11*u**4 - 8/11*u + 24/11*u**2 - 2/11*u**5 - 26/11*u**3 + 0.
-2*u*(u - 2)**2*(u - 1)**2/11
Let k be -5*(-520)/250 - 10. Determine s, given that -k*s - 2/5*s**2 + 0 = 0.
-1, 0
Suppose -2*d = p + 14, -4*d + d - 3 = 0. Let m(c) = -c - 10. Let w be m(p). What is j in -w - 6 + 3*j**2 + 10 - 5 = 0?
-1, 1
Let 75 - 87 - 2*q**3 + 72*q - 12*q**2 - 68 = 0. Calculate q.
-10, 2
Find l, given that 0 + 3/2*l - 1/2*l**2 = 0.
0, 3
Let h = 363 - 349. Let w be (-1 + 7/6)*(h - 10). Find r, given that 4/3*r**2 + 2/3*r**5 - 4/3*r**4 - w*r + 0 + 0*r**3 = 0.
-1, 0, 1
Let j be ((-5)/105)/((-28)/168). Factor -8/7*m - j*m**2 + 8/7 + 2/7*m**3.
2*(m - 2)*(m - 1)*(m + 2)/7
Let i be (-57)/(-155) - (-179)/5549. Factor 0 - i*w - 26/5*w**2.
-2*w*(13*w + 1)/5
Let x = 2800 - 2798. Find w such that 128/3 + 2/3*w**x + 32/3*w = 0.
-8
Let b(p) = p**3 + 329*p**2 - 334*p. Let l(k) = -5*k**3 - 1315*k**2 + 1335*k. Let m(i) = 15*b(i) + 4*l(i). Factor m(w).
-5*w*(w - 1)*(w + 66)
Let x(r) be the first derivative of r**6/840 - r**5/28 + 25*r**4/56 - 4*r**3 + 8. Let d(j) be the third derivative of x(j). Factor d(a).
3*(a - 5)**2/7
Let q = -8009 + 8011. Factor 2/9*o**3 + 0 + 2/9*o + 4/9*o**q.
2*o*(o + 1)**2/9
Let j(d) = -2*d**3 + 4 + d**2 - 5*d**3 + 4*d + 5*d**3. Let k be j(-1). What is z in -z**k + 1/3*z**5 + 0 - 2/3*z + 5/3*z**2 - 1/3*z**4 = 0?
-2, 0, 1
Suppose 7*b - 9 = -2. Suppose b + 14 = 5*d. Factor 4*a**3 + 3*a**4 - 2*a**d - a**4.
2*a**3*(a + 1)
Suppose -16*t = 9 - 57. Let k(j) be the second derivative of 0*j**2 - 1/40*j**5 + 1/12*j**t + 1/24*j**4 - 1/60*j**6 - 4*j + 0. Suppose k(s) = 0. What is s?
-1, 0, 1
Let f be 52 - 54 - (-35)/4. Let y(m) be the first derivative of -f*m**6 + 135/4*m**4 + 35/4*m**2 - 27/2*m**5 - 3/2*m - 5 - 25*m**3. Factor y(w).
-(w + 3)*(3*w - 1)**4/2
Suppose -10*u = -18 - 32. Let i be (9 + -3)*(-6)/(-4). Solve -i + u*q**2 + 9 + 0*q + 15*q = 0.
-3, 0
Suppose -9*v = -2*v - 126. Let r be (v - 15) + (-13)/5. Factor 2/5*y**2 + r*y + 0.
2*y*(y + 1)/5
Let m(j) = -j**2 + 33*j - 252. Let u be m(21). Determine n so that u - n - 1/2*n**4 + 3/2*n**2 + 0*n**3 = 0.
-2, 0, 1
Let i be (562 - 563) + (-10)/(-2). Find j, given that 4/3*j**3 + 8/3*j - 2/3*j**i + 0 + 14/3*j**2 = 0.
-1, 0, 4
Let g(z) = 2*z**2 - 29*z - 88. Let u(l) = 6*l**2 - 92*l - 264. Let c(w) = 10*g(w) - 3*u(w). Suppose c(r) = 0. What is r?
-4, 11
Let q(t) be the first derivative of -t**3/3 - 3*t**2 - 3*t + 5. Let z be q(-5). Factor j**z + 3*j + j + 3 - 6 - 2*j.
(j - 1)*(j + 3)
Suppose 0 = -3*o - 2*s + 22, -16 = -3*s - 1. Let l(f) = f + 8. Let d be l(-5). Factor 24*i**5 - d*i**2 - 60*i**o + 0*i + 51/2*i**3 + 0.
3*i**2*(i - 2)*(4*i - 1)**2/2
Let y be (24/(-2))/(4*2/(-48)). Let a be (2/3)/(2 + (-124)/y). Factor -a*o - 18/5 - 2/5*o**2.
-2*(o + 3)**2/5
Let p(n) = -n**2 + n - 1. Let b = 20 - 16. Suppose 5 = -b*v - 7. Let r(a) = a - 1. Let q(h) = v*r(h) - p(h). Let q(j) = 0. Calculate j.
2
Let y be (2/3)/(-1)*-3. Suppose -5*n + 4*q = 5*q - 7, 3*q = 4*n - 17. Factor -6*k**n + 3*k**5 + k**2 + y*k**2 + k + 5*k - 9*k**3 + 3*k**4.
3*k*(k - 1)**2*(k + 1)*(k + 2)
Let g(p) be the first derivative of -p**6/21 - 4*p**5/35 + 2*p**4/7 + 4*p**3/21 - 3*p**2/7 + 77. Let g(y) = 0. What is y?
-3, -1, 0, 1
Let w be -10*-4*(-16)/(-320). Let -3*z + 3/2*z**w + 0 = 0. What is z?
0, 2
Let i(q) be the third derivative of 0*q**4 - 1/112*q**8 + 0*q**5 - 1/35*q**7 + 0*q + 4 + 0*q**6 - 2*q**2 + 0*q**3. Factor i(x).
-3*x**4*(x + 2)
Let m(t) = 7715*t**2 - 2*t - 5*t**3 - 7714*t**2 + 9 - 3*t. Let r(v) = 9*v**3 - 2*v**2 + 10*v - 17. Let a(w) = 11*m(w) + 6*r(w). Suppose a(c) = 0. What is c?
-3, 1
Let y(w) be the first derivative of 0*w**2 + 5 + 8*w - 2/3*w**3. Factor y(k).
-2*(k - 2)*(k + 2)
Let s(j) be the second derivative of 7*j**5/100 + j**4/8 - j**3/5 + 3*j**2 - j. Let t(q) be the first derivative of s(q). Let t(d) = 0. Calculate d.
-1, 2/7
Let u(a) = a**3 - 18*a**2 - 4*a + 45. Let o be u(18). Let z = 29 + o. Factor 0 - 3/7*n**z + 0*n + 3/7*n**4 + 0*n**3.
3*n**2*(n - 1)*(n + 1)/7
Let b(c) = -c**3 - c. Let z(v) = 2*v**4 - 4*v**3 + 10*v. Let k(q) = q - 4. Let h be k(6). Let i(f) = h*b(f) + z(f). Factor i(o).
2*o*(o - 2)**2*(o + 1)
Let q(d) = d**2 + d. Suppose 2*y - 155 + 1 = 0. Let c(m) = 5*m + 78*m**3 - 1 + 1 - y*m**3 + 6*m**2. Let z(b) = c(b) - 4*q(b). Solve z(i) = 0.
-1, 0
Let r(k) be the second derivative of k**6/105 - 3*k**5/70 - 3*k**4/14 + 23*k**3/21 - 12*k**2/7 - 16*k + 1. Factor r(f).
2*(f - 4)*(f - 1)**2*(f + 3)/7
Let i be (8/6)/(6/(-9)). Let w(t) = -t**3 - t**2 - 4*t - 3. Let u be w(i). Solve -u*r - r**2 + 3*r + 4*r = 0.
-2, 0
Let m(k) be the first derivative of 5*k**3 + 771*k**2/2 + 306*k - 696. Determine s so that m(s) = 0.
-51, -2/5
Let t(h) = 12*h**3 - 19*h**2 + 19*h - 23. Let l(c) = c**3 - c**2 - 1. Let o(k) = 44*l(k) - 4*t(k). What is j in o(j) = 0?
1, 3, 4
Let w(v) be the third derivative of -v**5/80 + 2*v**4 - 128*v**3 + 75*v**2. Factor w(x).
-3*(x - 32)**2/4
Let 3/2*s**4 - 18*s**2 + 0 - 3/2*s**5 + 12*s**3 + 0*s = 0. What is s?
-3, 0, 2
Let x = 56 - 726/13. Let b(y) be the second derivative of 2/195*y**6 - 1/39*y**3 - 4*y + x*y**2 + 1/65*y**5 + 0 - 1/273*y**7 - 2/39*y**4. Solve b(z) = 0.
-1, 1, 2
Let q(v) = -3*v - 7*v - 3*v - 2 + 2*v - 3*v**2. Let c(g) = 3*g**2 + 10*g + 2. Suppose 12 = -10*l + 6*l. L