 = k(v) - 3*q(v). Factor u(r).
-(r + 3)**5
Factor 2/17*k**3 + 4/17*k**2 - 72/17 - 30/17*k.
2*(k - 4)*(k + 3)**2/17
Let t(k) = -k**2 - 20*k + 18. Let v be t(-19). Let i = v - 37. Determine p, given that 0 + i*p - 3/4*p**4 - 3/2*p**2 - 9/4*p**3 = 0.
-2, -1, 0
Let b = 1916 + -1916. Let d(i) be the second derivative of 0*i**4 - 1/30*i**5 + b - 1/126*i**7 + 0*i**3 - 9*i - 1/30*i**6 + 0*i**2. Factor d(l).
-l**3*(l + 1)*(l + 2)/3
Determine t so that -4/9*t**3 - 1/9*t**4 - 4/9*t - 2/3*t**2 - 1/9 = 0.
-1
Let a(b) be the second derivative of 0 - 1/42*b**3 - 16*b - 1/42*b**4 + 1/7*b**2 + 1/140*b**5. Find m, given that a(m) = 0.
-1, 1, 2
Let c = -871/5 - -2638/15. Factor -20/3 + 5/6*m**3 + c*m**2 - 10/3*m.
5*(m - 2)*(m + 2)**2/6
Let z(d) = -d**5 + d**3 - d - 2. Let x(j) = 8*j**5 - 41*j**4 - 160*j**3 - 107*j**2 + 161*j + 166. Let i(m) = -x(m) - 9*z(m). Let i(s) = 0. Calculate s.
-37, -2, -1, 1
Determine o so that 0 + 1/2*o - 5/6*o**3 + 2/3*o**2 - 1/3*o**4 = 0.
-3, -1/2, 0, 1
Let r be 3/((5 - 2) + -2). Factor 5*p**2 + 11*p**2 - 3*p**3 + 13*p**3 - 6*p**r.
4*p**2*(p + 4)
Let r(t) be the second derivative of 3*t**5/20 - t**4/4 - 3*t**3 - 382*t. Factor r(s).
3*s*(s - 3)*(s + 2)
Let v(f) be the second derivative of f**5/60 + f**4/12 - f**3/2 + 21*f**2/2 - 22*f. Let o(g) be the first derivative of v(g). Suppose o(d) = 0. Calculate d.
-3, 1
Suppose 0 = 86*x - 32*x - 270. Let d(p) be the second derivative of 0*p**2 + 0 - 3/8*p**4 - p - 1/2*p**3 - 3/40*p**x. Solve d(s) = 0 for s.
-2, -1, 0
Let u(o) be the third derivative of 1/18*o**4 - 1/3*o**3 - 1/270*o**5 - 20*o**2 + 0*o + 0. Determine g, given that u(g) = 0.
3
Suppose 3*m - 2*m - 4 = 0. Suppose -24*d**2 + 3*d**m - 6*d + 0*d**4 - 26*d - 12 + d**4 = 0. What is d?
-1, 3
Suppose 4611*g = 4616*g - 4*y - 31, y + 10 = 2*g. Suppose 0 - 16/5*a**4 + 12/5*a**g + 36/5*a**2 + 8/5*a = 0. What is a?
-1, -1/4, 0, 2
Let x be 16 - (-2310)/(-126) - 7/(-3). Factor 0*b**4 - 5/2*b**3 + x + 5/4*b + 5/4*b**5 + 0*b**2.
5*b*(b - 1)**2*(b + 1)**2/4
Suppose 14*h + 0 - 5*h**4 + 2*h**2 - 21/2*h**3 - 1/2*h**5 = 0. Calculate h.
-7, -2, 0, 1
Let y(j) be the second derivative of -j**4/96 + 5*j**3/12 - 25*j**2/4 + 2*j + 84. Let y(a) = 0. Calculate a.
10
Factor -132/17*m**2 - 2/17*m**3 - 4096/17 - 2304/17*m.
-2*(m + 2)*(m + 32)**2/17
Suppose -4*g + g = -51. Let t = g + -15. Factor -6*k**t + 4*k**2 + 75 - 67.
-2*(k - 2)*(k + 2)
Let u(g) be the second derivative of g**6/75 + g**5/50 - g**4/30 - g**3/15 + 34*g. Factor u(r).
2*r*(r - 1)*(r + 1)**2/5
Let a = 4914 - 3389. Let s = -10657/7 + a. Determine n, given that -s*n + 24/7*n**2 + 4/7 - 10/7*n**3 = 0.
2/5, 1
Let d(i) be the third derivative of 1/420*i**6 + 0 - 1/105*i**5 - 6*i**2 + 0*i - 1/84*i**4 + 2/21*i**3. Factor d(j).
2*(j - 2)*(j - 1)*(j + 1)/7
Let a(o) be the third derivative of 1/40*o**5 + 0*o**3 + 0 + 18*o**2 + 0*o**4 - 1/96*o**6 + 0*o + 1/840*o**7. Factor a(y).
y**2*(y - 3)*(y - 2)/4
Let w(t) be the third derivative of t**6/70 + 13*t**5/210 + 2*t**4/21 + t**3/21 + 27*t**2 - 5*t. Factor w(s).
2*(s + 1)**2*(6*s + 1)/7
Let f(g) be the third derivative of -9*g**2 + 7/12*g**4 - g**3 + 0*g + 0 + 1/60*g**6 - 1/6*g**5. Suppose f(u) = 0. What is u?
1, 3
Let b be 1*4/(-4)*((-42)/(-12) + -5). Factor -1 - 1/2*d**2 + b*d.
-(d - 2)*(d - 1)/2
Let a = -18 - -28. Let j be (-50)/a*-1*1. Factor s + 9 + s - 6*s**2 - j.
-2*(s - 1)*(3*s + 2)
Let n = 9 - 23. Let f be 3/(((-6)/n)/((-4)/(-42))). Find m such that -1/3*m**2 + 0 + f*m = 0.
0, 2
Let v = 67/4 + -16. Let i(a) be the second derivative of 4*a + 3/7*a**7 + 7/10*a**6 - 9/20*a**5 + 1/2*a**3 - v*a**4 + 0*a**2 + 0. Suppose i(t) = 0. What is t?
-1, 0, 1/3, 1/2
Let s(o) = -5*o - 35*o - 92*o - 195*o**3 + 75*o**3 - 50 - 202*o**2. Let t(v) = -17*v**3 - 29*v**2 - 19*v - 7. Let d(k) = 6*s(k) - 44*t(k). Factor d(f).
4*(f + 1)**2*(7*f + 2)
Suppose 53*w - 177 = -18. Let b(j) be the first derivative of 0*j - 1/7*j**2 - 2 + 4/21*j**w + 8/35*j**5 + 1/2*j**4. Suppose b(i) = 0. Calculate i.
-1, 0, 1/4
Let g be (-22)/60*6/((-630)/725). Let m = g - 23/14. Find c, given that m*c**2 - 2/3*c - 2/9 = 0.
-1/4, 1
Factor -484/3 - 44/3*v - 1/3*v**2.
-(v + 22)**2/3
Let t(j) be the second derivative of j**5/120 + j**4/72 + 475*j. Let t(r) = 0. Calculate r.
-1, 0
Let v(t) = -t + 3. Let i(b) = 3*b - 11. Let a(h) = -2*i(h) - 7*v(h). Let g(m) = -2*m**2 + 14*m + 16. Let z(u) = -6*a(u) + g(u). Factor z(y).
-2*(y - 5)*(y + 1)
Let q = -69 - -62. Let c be q/(-20) - 24/(-60). Suppose 3/4*h**2 + c*h**3 - 3/4*h - 3/4 = 0. Calculate h.
-1, 1
Let w be (-269)/(-6) - 8/(-48). Find h, given that 8 + 5*h**4 + 1 + w*h**2 - 25*h**3 + 1 - 35*h = 0.
1, 2
Factor 1/3 + 26/3*k + 169/3*k**2.
(13*k + 1)**2/3
Let v = -10109/30 + 337. Let c(t) be the second derivative of 0*t**4 - 3*t + v*t**5 + 0*t**2 + 0 - 1/9*t**3. Factor c(k).
2*k*(k - 1)*(k + 1)/3
Let i(t) = t**3 + 15*t**2 + 10*t - 34. Let c be i(-14). Let b = -22 + c. What is a in -2/3*a - 2/3*a**3 - 4/3*a**2 + b = 0?
-1, 0
Let -2/9*r**2 + 38/9*r + 40/9 = 0. What is r?
-1, 20
Let w(x) = -2*x**3 - 21*x**2 - 80*x - 82. Let r(u) = -3*u**3 - 31*u**2 - 120*u - 124. Let i(l) = 5*r(l) - 8*w(l). Let i(a) = 0. What is a?
-9, -2
Let r(q) be the third derivative of 0*q + 1/16*q**4 + 1/672*q**8 - 25*q**2 - 1/210*q**7 + 1/60*q**5 + 0*q**3 + 0 - 1/60*q**6. Let r(l) = 0. What is l?
-1, 0, 1, 3
Factor 60/7*o**2 + 111/7*o + 54/7 + 3/7*o**3.
3*(o + 1)**2*(o + 18)/7
Let u(g) be the second derivative of 169*g**6/135 - 299*g**5/30 + 71*g**4/3 - 332*g**3/27 + 8*g**2/3 + 92*g. Suppose u(q) = 0. Calculate q.
2/13, 2, 3
Suppose -4 = -3*m - t, -3*m + 16 = -5*m + 4*t. Let 5 + m*b - 5/4*b**2 = 0. What is b?
-2, 2
Factor -518*s**4 + 3040*s**2 - 963*s**3 - 321*s**3 + 366*s**4 - 6*s**5 + 2*s**5 - 1600*s.
-4*s*(s - 1)**2*(s + 20)**2
Let g = 22084/51513 - 1/7359. Let g*f**2 - 9/7 + 6/7*f = 0. Calculate f.
-3, 1
Let j(c) = 11*c**4 - 14*c**3 - 49*c**2 - 24*c. Let m(h) = -2*h**4 - h**3 + h**2. Let s(w) = j(w) + 4*m(w). Factor s(d).
3*d*(d - 8)*(d + 1)**2
Let t(u) be the first derivative of -441*u**5/20 + 161*u**4/16 + 283*u**3/12 + 15*u**2/8 - 9*u/2 - 898. Determine q, given that t(q) = 0.
-3/7, 2/9, 1
Let m(w) be the third derivative of 3/7*w**3 - 34*w**2 + 1/70*w**5 + 0 + 0*w + 13/56*w**4. Solve m(r) = 0 for r.
-6, -1/2
Let x be (-4)/(-30)*(1 - -2). Let g = 1838 - 9186/5. Factor 6/5*t**2 - g - x*t.
2*(t - 1)*(3*t + 2)/5
Suppose -3*b**2 + 774*b - 4*b**2 + 3*b**2 - 783*b - 2 = 0. What is b?
-2, -1/4
Suppose -10 = -5*d, a = -4*a + 4*d + 32. Suppose 0 = 2*n + 2*f + 10, -a*n + 3*n = -2*f - 10. Factor m + 1/2*m**2 + n.
m*(m + 2)/2
Factor 96/11 - 6/11*c**2 - 90/11*c.
-6*(c - 1)*(c + 16)/11
Factor -24/7 - 2*w**2 + 2/7*w**4 - 4/7*w**3 + 40/7*w.
2*(w - 2)**2*(w - 1)*(w + 3)/7
Let r(w) = 12*w**2 - 363*w + 16918. Let h(k) = 5*k**2 - 182*k + 8460. Let y(p) = -15*h(p) + 6*r(p). Factor y(v).
-3*(v - 92)**2
Let m be (-42)/100*(-100)/300. Let h(g) be the second derivative of 4/5*g**2 - 3/10*g**4 + m*g**5 + 0 - 4/5*g**3 - 10*g. Factor h(v).
2*(v - 2)*(v + 1)*(7*v - 2)/5
Let t be 5/1*(-5 + 6). Factor -o**4 - 10*o**3 + o**2 + 0*o**t - 2*o**5 + 3*o**5 + 9*o**3.
o**2*(o - 1)**2*(o + 1)
Let v be (1 - 99/121)*11. Let w(l) be the second derivative of 0 + 8*l + v*l**3 + 6*l**2 + 1/4*l**4. Suppose w(a) = 0. Calculate a.
-2
Solve -4/7*j**5 + 8*j**3 - 52/7*j + 48/7*j**2 + 0 - 48/7*j**4 = 0 for j.
-13, -1, 0, 1
Let j be -42 + 44 - (-6)/9*12/(-16). Suppose 0 + 13/4*s**3 + 1/4*s**5 - j*s**4 - 3*s**2 + s = 0. Calculate s.
0, 1, 2
Let j(o) = -4*o**3 - 9*o**2 + 3*o + 3. Let l(y) = -9*y**3 - 18*y**2 + 7*y + 7. Let s(f) = 14*j(f) - 6*l(f). Determine n, given that s(n) = 0.
-9, 0
Suppose 5*c - 34 = 11. Let o(x) = -x**3 + 4*x**2 + 6*x + 1. Let t be o(5). What is w in 4*w**4 - w**4 - c*w**2 + 12 - t*w**2 = 0?
-2, -1, 1, 2
Let f = 30/821 + -49590/9031. Let k = -376/77 - f. Let -k*b**2 - 10/7*b - 4/7 = 0. What is b?
-2, -1/2
Find j such that 12/5*j**4 - 288*j + 45*j**3 + 60 + 903/5*j**2 = 0.
-10, 1/4, 1
Let g(h) be the second derivative of h**7/420 - h**6/60 + h**5/25 - h**4/30 - 681*h. Factor g(b).
b**2*(b - 2)**2*(b - 1)/10
Let z be 12/18 + (2 - (-10)/3). Let f(j) be the first derivative of 2/21*j**3 - z + 1/14*j**4 + 0*j + 0*j**2. Find l, given that f(l) = 0.
-1, 0
Let m be (-123)/(-15) - (-1)/(-5). Factor 45*r + 2*r**3 - 30*