*d**3 - 1/48*d**4 - 4*d + 7/160*d**5 + 0 + 1/8*d**2. Solve k(q) = 0.
-1, 2/7, 1
Let x(o) be the first derivative of 3*o**5/35 - 51*o**4/28 + 78*o**3/7 - 48*o**2/7 - 384*o/7 + 529. Let x(j) = 0. Calculate j.
-1, 2, 8
Let g(n) = -n**2 + 13*n + 16. Let i be g(14). Let u(t) = -t**2 + t + 3. Let s be u(0). Solve -130*b**i + 1 - s*b + 129*b**2 + 3*b = 0.
-1, 1
Let c be 40/36 - (96/(-54))/8. Let f(q) be the first derivative of -8*q**2 + c*q**3 + 12*q - 1. Factor f(b).
4*(b - 3)*(b - 1)
Suppose 4*m = 3*a - 8, 3*a - 20 + 10 = 2*m. Find n such that -3*n**2 + 5*n**3 + 0 + 1/3*n - 7/3*n**a = 0.
0, 1/7, 1
Let t(o) be the first derivative of 38*o**3/3 + 32*o**2 - 24*o + 425. Factor t(v).
2*(v + 2)*(19*v - 6)
Let b(h) be the second derivative of h**6/72 - h**5/24 + 2*h**3 + 13*h. Let f(l) be the second derivative of b(l). Find s, given that f(s) = 0.
0, 1
Factor 1/2*z - 85/4*z**2 + 0.
-z*(85*z - 2)/4
Let t(b) = 3*b**4 + 3*b**3 + 18*b**2 + 18*b. Let z(u) = -4*u**4 - 4*u**3 - 18*u**2 - 18*u. Let m(q) = -6*t(q) - 5*z(q). Find d such that m(d) = 0.
-3, -1, 0, 3
Find a such that -a**3 - 2/5*a**2 + 0 - 4/5*a**4 - 1/5*a**5 + 0*a = 0.
-2, -1, 0
Let l(h) be the first derivative of 0*h - 3/10*h**4 - 2/5*h**3 - 4 - 2/25*h**5 - 1/5*h**2. Factor l(v).
-2*v*(v + 1)**3/5
Let l(q) = -q**2 - q - 1. Let r(i) = -14*i + 16. Let p(s) = -20 - 2*s - 1 + 0. Let h be p(-11). Let u(k) = h*r(k) - 2*l(k). Suppose u(m) = 0. What is m?
3
Suppose 6*z = -4*l + 3*z - 26, -3*l - 19 = 2*z. Let b be -2*l/(-20) + (-3 - -4). Let 3/4*a**2 - 1/4*a**4 - a + b*a**3 - 1 = 0. Calculate a.
-1, 2
Let q(k) = 4*k**3 - 6*k**2 - 4*k. Let s(w) = -w**3 + w**2 + w + 1. Suppose 0 = -9*x + 6*x + 9. Let m(i) = x*s(i) + q(i). Let m(h) = 0. What is h?
-1, 1, 3
Let d = -760 - -15203/20. Let a(s) be the third derivative of d*s**5 + 3/280*s**7 + 0*s + 0 - 5*s**2 + 1/8*s**3 + 1/16*s**6 + 3/16*s**4. Solve a(i) = 0.
-1, -1/3
Solve -7*d**3 + 72 + 73/2*d**2 - 84*d + 1/2*d**4 = 0 for d.
3, 4
Let c(b) = -7*b + 59. Let o be c(8). Let v(h) be the first derivative of -6 + 6*h**2 + 2/3*h**o + 18*h. Solve v(y) = 0.
-3
Let p(b) = b**2 + 3*b + 4. Let w be p(-2). Determine r, given that -8 - 4*r - 32*r**2 + 31*r**w + 5 = 0.
-3, -1
Let i(w) be the third derivative of -w**7/420 - 17*w**6/240 + 37*w**5/120 - 19*w**4/48 + 9*w**2 - 1. Determine k, given that i(k) = 0.
-19, 0, 1
Let g be 34/(-170) + (-13)/(-210)*4. Let p(t) be the second derivative of -5/126*t**4 + 0 + 2*t + g*t**2 + 1/63*t**3 + 1/70*t**5. Solve p(v) = 0.
-1/3, 1
Factor 24 + 9*r**2 - 27*r**2 + 2*r**4 - 35*r + 27*r.
2*(r - 3)*(r - 1)*(r + 2)**2
Let o = -127 + 129. Let r(y) be the third derivative of -5/3*y**4 + 5/6*y**5 - 5*y**o + 0*y + 0 + 4/3*y**3. Suppose r(d) = 0. What is d?
2/5
Let v be 5*(936/60 + -15). Find u such that 2/5*u - 16/5*u**2 + 0 + 14/5*u**v = 0.
0, 1/7, 1
Let j(q) be the third derivative of 0*q + 2/315*q**7 + 0*q**4 + 1/180*q**6 - 30*q**2 - 1/45*q**5 + 0 - 1/504*q**8 + 0*q**3. Solve j(r) = 0 for r.
-1, 0, 1, 2
Let m = 111 + -553/5. Let j(x) be the first derivative of 8/15*x**3 + 0*x + m*x**2 + 6 + 3/20*x**4. Let j(q) = 0. Calculate q.
-2, -2/3, 0
Let s be ((-16)/60)/((-44)/33)*3. Suppose -6/5*k**4 + 0*k**3 + 0 - s*k**5 + 3/5*k + 6/5*k**2 = 0. What is k?
-1, 0, 1
Let a = -1572 + 1572. Factor 1/2*d**2 + a + d.
d*(d + 2)/2
Let o = 145 - 143. Let g(d) be the second derivative of -1/6*d**4 + 0 - 7/10*d**5 - 49/60*d**6 + 0*d**o + 3*d + 0*d**3. Determine c so that g(c) = 0.
-2/7, 0
Let u(t) be the first derivative of 3/4*t**4 - 3/2*t**2 - t**3 + 12 + 3*t. Factor u(d).
3*(d - 1)**2*(d + 1)
Let k be ((-8)/4)/(1 - (-52)/(-44)). Find q such that -32*q + 3*q**2 + 40 - 7*q**2 - 15 + k = 0.
-9, 1
Let o(w) be the third derivative of w**8/84 + 2*w**7/15 + 8*w**6/15 + 4*w**5/5 + 3*w**2 - 82*w. Solve o(z) = 0.
-3, -2, 0
Let i(a) = -a**4 + 4*a**3 + 1. Let c(x) = 2*x**4 - 5*x**3 - x - 2. Let r be ((-12)/10)/(7/(245/(-14))). Let d(z) = r*i(z) + 2*c(z). Find s such that d(s) = 0.
-1, 1
Let u = 81 + -67. Let i(t) = -t**2 + 13*t + 14. Let r be i(u). Factor 1/5*o**5 + 0 + 0*o + 1/5*o**3 + r*o**2 + 2/5*o**4.
o**3*(o + 1)**2/5
Let s be (-90)/(-48)*(0 - 286/(-65)). Determine t so that -3/4*t**2 - 15/2 + s*t = 0.
1, 10
Suppose -1944/7*a - 432/7*a**2 + 0 + 66/7*a**3 - 2/7*a**4 = 0. What is a?
-3, 0, 18
Factor -23 + 5 + 63*m - 3*m**3 - 54*m + 2*m**3 + 2*m**2 + 0.
-(m - 3)*(m - 2)*(m + 3)
Suppose 1452 = -10*b + 16*b. Factor -13*a**2 - 15*a**3 + 18*a**3 + 198*a - a**3 + b - 29*a**2.
2*(a - 11)**2*(a + 1)
Let a(l) = -2*l + 8. Let g be a(3). What is v in 2*v + 5*v**g - 2*v - 5*v + 5*v**3 - 732*v**4 + 727*v**4 = 0?
-1, 0, 1
Let o(m) be the first derivative of -m**5/20 - 3*m**4/8 + 5*m**3/4 - m**2 - 16. Solve o(s) = 0.
-8, 0, 1
Let j(o) be the third derivative of 2*o**2 + 5/6*o**3 + 0*o + 1/12*o**5 - 5/12*o**4 + 0. Factor j(d).
5*(d - 1)**2
Let w(z) be the third derivative of z**5/330 - z**4/12 + 200*z**2. Determine h so that w(h) = 0.
0, 11
Let f = -2/3181 - -6368/9543. Factor f*b**4 - 4/9*b**3 - 2/9*b**5 + 2/3*b - 4/9*b**2 - 2/9.
-2*(b - 1)**4*(b + 1)/9
Let b be (-2)/(4/24*(-1 - 2)). Let c(p) be the third derivative of 0*p + 0*p**b - 12*p**2 + 0*p**3 + 0*p**5 + 1/720*p**6 - 1/1260*p**7 + 0. Factor c(q).
-q**3*(q - 1)/6
Let j(c) = 3*c**4 - 55*c**3 + 11*c**2 + 155*c - 106. Let i(o) = 25*o**4 - 495*o**3 + 100*o**2 + 1395*o - 955. Let p(q) = 4*i(q) - 35*j(q). Solve p(r) = 0.
-11, -2, 1
Let d = 21204587/101977470 - -2/809345. Let a = d + -1/126. Determine h, given that -a*h**2 - 3/5*h + 0 = 0.
-3, 0
Let f(n) be the third derivative of n**7/735 + n**6/84 + n**5/30 + n**4/28 + 13*n**2 - 2. Solve f(k) = 0.
-3, -1, 0
Let q(n) be the third derivative of 0*n + 16*n**2 + 0 + 0*n**3 - 1/3*n**4 + 1/30*n**5. Determine w, given that q(w) = 0.
0, 4
Let g(q) be the first derivative of q**5/2 + 17*q**4/8 + q**3 - 5*q**2 - 4*q + 122. Factor g(c).
(c - 1)*(c + 2)**2*(5*c + 2)/2
Suppose 5*r + 4 = r. Let c = r - -7. Factor -c*d + 15*d**3 - 6*d + 12 - 6*d**3 - 15*d**2.
3*(d - 2)*(d + 1)*(3*d - 2)
Let r = 14939/9962 + 2/4981. Let s(p) be the first derivative of 2/3*p - 13/12*p**4 + 1/9*p**3 - 10 + r*p**2 + 2/9*p**6 - 1/5*p**5. Solve s(t) = 0 for t.
-1, -1/4, 1, 2
Suppose -3*h - 10*h = -26. Factor -4*a + 7 + 16*a**h - 23*a - 20*a**2.
-(a + 7)*(4*a - 1)
Suppose 0 = -2*x + 10 + 18. Let j = -10 + x. Factor -3 + 2*p**2 + 1 + 4*p + j.
2*(p + 1)**2
Let s(w) be the first derivative of w**5/30 + 11*w**4/24 + 5*w**3/9 + 63. Let s(f) = 0. Calculate f.
-10, -1, 0
Let p(m) be the first derivative of m**4/4 + 5*m**3/3 + 3*m**2/2 - m + 1. Let r be p(-4). Factor -q**3 + r*q**2 - 2*q**3 + 12*q**4 + 3*q - 15*q**4.
-3*q*(q - 1)*(q + 1)**2
Factor 54*d + 80/3*d**3 - 93*d**2 - 9 + 64/3*d**4.
(d - 1)*(d + 3)*(8*d - 3)**2/3
Let z(f) be the third derivative of -f**5/20 - f**4/4 + 3*f**3/2 + 4*f**2 + 12*f. Factor z(c).
-3*(c - 1)*(c + 3)
Let k(p) be the third derivative of 1/135*p**6 - p**2 + 0*p**3 + 1/1008*p**8 - 11/1890*p**7 + 0*p**4 + 0*p + 0 + 1/135*p**5. What is v in k(v) = 0?
-1/3, 0, 2
Suppose -4*z = -5*t - 4, -2*z = 2*z - 4*t - 4. Suppose 5*a - 19 = z. Determine n, given that 2*n**2 + 16*n - 32 + 5*n**2 - a*n**2 - 5*n**2 = 0.
4
Let g(c) = 11*c**2 - 23*c - c**3 + 21*c - 8*c + 5. Let j be g(10). Factor -2/5*i - 4/5*i**4 + 0 + 0*i**3 + 4/5*i**2 + 2/5*i**j.
2*i*(i - 1)**3*(i + 1)/5
Factor 14082*s + 50*s**3 + 6*s**4 - s**4 + 21970 + 2925*s**2 + 1973*s + 155*s**3.
5*(s + 2)*(s + 13)**3
Suppose -10 = i - 2*d - 5, -3*i = 2*d - 9. Let o(p) be the first derivative of 2/9*p - 2/27*p**3 + 0*p**2 + i. Factor o(h).
-2*(h - 1)*(h + 1)/9
Suppose 0 = 2*z + 2 - 6. Suppose 0 = 54*x - 96*x + 50*x. Factor x - a + 5/2*a**z.
a*(5*a - 2)/2
Let o = -292 + -258. Let v be (-120)/o - (-4)/22. What is w in -v*w**2 + 12/5*w - 18/5 = 0?
3
Let c(n) be the first derivative of 36/5*n + 6/5*n**2 + 1/15*n**3 + 21. Factor c(b).
(b + 6)**2/5
Let r = 313 + -3433/11. Let d = r + -39/55. Factor -2/5 - u**3 - 9/5*u**2 - d*u**4 - 7/5*u.
-(u + 1)**3*(u + 2)/5
Let x(o) be the second derivative of o**7/5460 - o**6/780 + o**5/260 - o**4/156 - 2*o**3 + 4*o. Let l(z) be the second derivative of x(z). Factor l(r).
2*(r - 1)**3/13
Let m(w) be the second derivative of -w**6/255 - 4*w**5/85 + 19*w**4/102 - 10*w**3/51 + 3*w + 61. Factor m(i).
-2*i*(i - 1)**2*(i + 10)/17
Let w(j