et t(y) be the third derivative of -1/4*y**v + 6*y**2 - 3/2*y**3 + 0*y + 0 - 1/60*y**5. Solve t(g) = 0.
-3
Let c(p) = 5*p + 18. Let d be c(-6). Let v be (-1 + 0)/(4/d). Find y such that v*y**2 + 3*y + 14*y - 15 - 5*y = 0.
-5, 1
Let c(y) be the second derivative of -y**6/6 + 13*y**5 - 1045*y**4/3 + 9680*y**3/3 + 7025*y. Factor c(w).
-5*w*(w - 22)**2*(w - 8)
Let n = -114030 + 228063/2. Factor n*u + 3/2*u**3 + 0 - 3*u**2.
3*u*(u - 1)**2/2
Let j(b) = -b**3 + 174*b**2 + 404*b - 9152. Let p be j(176). Factor 7/8*a**2 - 3/8*a**3 - 3/8*a**4 + 3/4*a + p + 1/8*a**5.
a*(a - 3)*(a - 2)*(a + 1)**2/8
Let m(h) be the first derivative of -h**3/3 - 3715*h**2/14 + 1062*h/7 - 55. What is n in m(n) = 0?
-531, 2/7
Let b(h) = 5*h**2 + 13*h + 4. Let m(q) = -11*q**2 - 25*q - 8. Let d(f) = 9*b(f) + 4*m(f). Let w be d(5). Factor -119*r**4 + 230*r**4 - w*r**4.
-3*r**4
Let w(l) be the first derivative of -16*l + 8/5*l**5 - 1/3*l**6 + 90 - 1/2*l**4 + 20*l**2 - 28/3*l**3. Determine t so that w(t) = 0.
-2, 1, 2
Let d(p) = 4*p + 3. Let f be d(-18). Let r = f + 72. Factor 16*z**r + 727 + 28*z**2 - 727 - 8*z.
4*z*(z + 2)*(4*z - 1)
Let m(w) be the second derivative of w**4/30 + 1618*w**3/15 - 5*w + 342. Factor m(n).
2*n*(n + 1618)/5
Let x(y) be the third derivative of -13*y - 1/300*y**6 + 0 + 140608/15*y**3 - 676/5*y**4 - 5*y**2 + 26/25*y**5. Factor x(o).
-2*(o - 52)**3/5
Let c(i) be the first derivative of -i**4/5 - 928*i**3/15 - 5352*i**2/5 - 6336*i - 2419. Factor c(h).
-4*(h + 6)**2*(h + 220)/5
Let r(x) be the second derivative of x**4/72 - 8*x**3/9 + 45*x**2/4 + 8823*x. Factor r(b).
(b - 27)*(b - 5)/6
Let z(l) be the first derivative of 89 - 4/25*l**5 - 3/5*l**3 + 1/10*l**2 + 1/5*l + 11/20*l**4. Let z(j) = 0. What is j?
-1/4, 1
Let u(l) be the third derivative of -l + 3/40*l**6 - 2*l**3 + 0 - 1/20*l**5 - l**4 + 18*l**2. Factor u(n).
3*(n - 2)*(n + 1)*(3*n + 2)
Let g(c) = 2*c**4 + 2*c**3 - c**2. Let w(a) = -3*a**4 + 24*a**3 - 2*a**2 - 112*a. Let k(m) = 2*g(m) + w(m). Factor k(p).
p*(p - 2)*(p + 2)*(p + 28)
Let t be (-3 - ((-172)/(-60) - 6))*(50 + 0). Let o be 2 + 1/(-3)*1. Determine g, given that -5 - t*g - o*g**2 = 0.
-3, -1
Let y(q) be the third derivative of 577*q**5/240 + 193*q**4/32 + q**3/12 + 3*q**2 - 135*q. Determine f so that y(f) = 0.
-1, -2/577
Let w(t) = 6*t**3 - 16*t**2 + t**3 - 2*t**3 + 0 - 10 + 23*t. Let j(s) = 21*s**3 - 64*s**2 + 92*s - 42. Let i(d) = 2*j(d) - 9*w(d). Factor i(z).
-(z - 3)*(z - 2)*(3*z - 1)
Let u(t) be the first derivative of -319 + 2/3*t**3 + 1/6*t**4 + 0*t + 2/3*t**2. Factor u(c).
2*c*(c + 1)*(c + 2)/3
Factor -39 - 3/2*d**2 - 45/2*d.
-3*(d + 2)*(d + 13)/2
Suppose -5*j + 217 - 192 = 0. Factor 18*y**4 + 3*y**j + 36*y**3 - 1062*y + 535*y + 536*y + 30*y**2.
3*y*(y + 1)**3*(y + 3)
Let v = 93 - 90. Let b(t) = t**2 - 3. Let h be b(v). Factor -7*s**2 + 20*s + s**3 - 9 - h*s - 6*s + 7*s.
(s - 3)**2*(s - 1)
Factor 222*x**4 - 5824*x**2 + 10816*x - 103*x**4 - 121*x**4 + 212*x**3.
-2*x*(x - 52)**2*(x - 2)
Let x(l) be the second derivative of -2*l + 1/10*l**5 - 1/6*l**4 + 1/15*l**6 + 19 - 1/3*l**3 + 0*l**2. Factor x(r).
2*r*(r - 1)*(r + 1)**2
Let w(t) be the second derivative of t**6/45 + 29*t**5/30 + 14*t**4/9 + 766*t. Let w(y) = 0. Calculate y.
-28, -1, 0
Suppose -2*j = 4*f + 24, -15 = 3*f - 0*f. Let v be (-3 + 4)*(-86)/j. Suppose 8*l + 39 - 4*l**2 + 0*l**2 - v = 0. What is l?
1
Suppose 0 = 4*h + 5*r + 29, -4*r - 4 = -0. Let q be 1*(-5)/(10/h). Factor 143*o**3 - 113*o**3 + q*o**4 + 25*o**2 + 2*o**4.
5*o**2*(o + 1)*(o + 5)
Let y be 4 - (3 + 0) - -2. Solve 12*c - 75*c - 21 - y*c**2 + 39*c = 0 for c.
-7, -1
Let g = -423 - -425. Factor 2 + 98*h**g - 2*h + 2*h**3 - 102*h**2 + 1 + h**4.
(h - 1)**2*(h + 1)*(h + 3)
Let g(y) be the first derivative of y**3/9 - 742*y**2/3 + 550564*y/3 - 253. Factor g(b).
(b - 742)**2/3
Let s(w) be the first derivative of 32*w - 1/21*w**4 + 25 + 4/3*w**3 - 14*w**2. Let k(i) be the first derivative of s(i). Factor k(l).
-4*(l - 7)**2/7
Let a(n) be the second derivative of 2/3*n**6 + 110*n - 25/6*n**4 + 11/4*n**5 - 60*n**2 - 110/3*n**3 + 0. Determine k so that a(k) = 0.
-2, -3/4, 2
Factor -1/9*z**4 + 11/9*z**2 + 8 - 22/3*z + 4/9*z**3.
-(z - 3)**2*(z - 2)*(z + 4)/9
Let j(n) = -n**5 + n**4 - n**3 - 2*n - 1. Let k(l) = -12*l**5 - 64*l**4 - 540*l**3 + 600*l**2 - 32*l - 16. Let i(w) = -16*j(w) + k(w). Let i(o) = 0. What is o?
-6, 0, 1, 25
Let q = 13698/5 - 87771/35. Let h = -231 + q. Factor -9/7*s + 9/7*s**3 + h - 6/7*s**2.
3*(s - 1)*(s + 1)*(3*s - 2)/7
Let y be -7 - ((-414)/(-72))/((-6)/8). Let r(t) be the second derivative of -5*t**2 + 0 - 12*t - y*t**3 - 1/30*t**4. Factor r(i).
-2*(i + 5)**2/5
Let j(y) = -17*y**4 + 17*y**3 + 48*y**2 - 4*y + 2. Let c(n) = 74*n**4 - 69*n**3 - 191*n**2 + 18*n - 9. Let p(f) = 2*c(f) + 9*j(f). Factor p(v).
-5*v**2*(v - 5)*(v + 2)
Let u(v) be the third derivative of -v**6/780 - 3*v**5/130 - 9*v**4/52 - 9*v**3/13 - 472*v**2 - 1. Factor u(p).
-2*(p + 3)**3/13
Suppose -10*p + 13*p = 48. Suppose 6 = -5*x + p. Find t such that 12 - 3/2*t**3 - 3*t**x + 6*t = 0.
-2, 2
Let k be 8/(-2) + (15 - -29). Let j = -37 + k. Suppose -1 + 5*c - 4*c**2 - 2*c**3 + 0*c**2 - 1 + j*c**3 = 0. Calculate c.
1, 2
Let k(m) be the second derivative of -m**6/195 - 23*m**5/130 - 15*m**4/13 - 54*m + 11. Let k(w) = 0. Calculate w.
-18, -5, 0
Let v(p) be the second derivative of -p**5/330 - p**4/22 - 5*p**3/33 + 20*p**2 - 69*p. Let f(u) be the first derivative of v(u). Factor f(y).
-2*(y + 1)*(y + 5)/11
Let m = -499 - -495. Let n(x) = 1. Let z(j) = -3*j**4 - 24*j**3 - 4. Let g(y) = m*n(y) - z(y). Factor g(h).
3*h**3*(h + 8)
Suppose -6*r + 9*r - 180 = -4*k, 152 = 3*k - 2*r. Suppose -40*f = -k*f + 16. Factor -f*p - 4 - 1/4*p**2.
-(p + 4)**2/4
Suppose 3*k = -15, -3*v = -v - 4*k - 28. Suppose -2*s + g = -80, 0 = -g + v*g. Factor -5*m - s*m**3 + 25*m**2 + 26*m**4 - 6*m**4 + 2*m - 2*m.
5*m*(m - 1)*(2*m - 1)**2
Factor 4183350/13*k - 1164365750/13 + 2/13*k**3 - 5010/13*k**2.
2*(k - 835)**3/13
Find f such that -85*f**3 + 9/2*f**5 - 7 - 17*f**4 - 103/2*f - 108*f**2 = 0.
-1, -2/9, 7
Let d be ((-276)/(-28) - 10/(-70)) + -7*1. Let f(q) be the second derivative of 0 - 2/3*q**d + 1/5*q**5 + 0*q**2 + 23*q + 4/3*q**4 - 8/15*q**6. Factor f(s).
-4*s*(s - 1)*(s + 1)*(4*s - 1)
Let a = -1510 + 1510. Let d(v) be the second derivative of a*v**2 + 2*v + 1/5*v**5 - 1/3*v**4 + 0 + 0*v**3. Factor d(q).
4*q**2*(q - 1)
Let b(z) be the third derivative of -z**7/1260 + z**6/180 + 17*z**4/24 - z**3/2 + z**2 + 5. Let m(t) be the second derivative of b(t). Factor m(d).
-2*d*(d - 2)
Let i(v) be the first derivative of -v**8/2940 + v**6/70 - 5*v**3/3 + 5*v**2/2 + 1. Let q(k) be the third derivative of i(k). Let q(s) = 0. Calculate s.
-3, 0, 3
Let n be 107/12 - 36/108 - 16/2. Let m(i) be the first derivative of -26 + 2*i + 1/15*i**5 + 17/9*i**3 - 17/6*i**2 - n*i**4. Factor m(q).
(q - 3)*(q - 2)*(q - 1)**2/3
Suppose 284 + 884 = 16*j. Suppose -j = -5*p - 12*v + 16*v, 5*v - 32 = -p. Determine d so that 18/7*d**2 + 8/7 + p*d**3 + 7*d**4 - 44/7*d = 0.
-2, -1, 2/7
Let p(q) be the second derivative of q**5/20 + 21*q**4/4 + 220*q**3 + 4600*q**2 - 7*q - 10. Factor p(w).
(w + 20)**2*(w + 23)
Let l be -11 + (-3256)/(-168) + 50/175 - 8. Factor l*k**5 - 8/3*k**4 + 4/3*k**2 - 10/3*k + 8/3*k**3 + 4/3.
2*(k - 2)*(k - 1)**3*(k + 1)/3
Let y = -111 + 199. Let s be y/16 + (-3)/(-2). Factor -s*q**2 + 2*q**4 + 13*q**2 - 9*q**3 + q**4.
3*q**2*(q - 2)*(q - 1)
Let i(z) be the second derivative of z**6/70 - 909*z**5/140 - 305*z**4/28 + 303*z**3/14 + 456*z**2/7 + 99*z - 7. Solve i(k) = 0.
-1, 1, 304
Let r(d) = -7*d**2 + 1908*d - 3. Let y(s) = 10*s**2 - 1908*s + 4. Let c(j) = 4*r(j) + 3*y(j). Factor c(u).
2*u*(u + 954)
Let j be 6 - (53*(-7)/(-70) - 48/(-480)). Solve 222/5*n**2 - 1152/5*n + 864/5 + j*n**4 + 63/5*n**3 = 0.
-12, 1, 2
Let f(d) be the first derivative of -5*d**3/3 - 13105*d**2 - 34348205*d + 9187. What is y in f(y) = 0?
-2621
Let h(a) be the second derivative of -a**6/2340 + a**5/390 - 43*a**3/3 + 2*a + 38. Let x(v) be the second derivative of h(v). Factor x(q).
-2*q*(q - 2)/13
Let l(x) be the second derivative of -x**5/190 + 71*x**4/114 - 95*x - 3. Find r, given that l(r) = 0.
0, 71
Let a(v) be the first derivative of 0*v - 1/2*v**4 + 2/15*v**5 + 6 + 4/9*v**3 + 0*v**2. Find s such that a