-1, 0, 1
Let z(n) be the second derivative of -n**5/30 + 13*n**4/12 - 37*n**3/18 + 436*n. Factor z(d).
-d*(d - 1)*(2*d - 37)/3
Let q = -55 - -116. Factor -6*y**2 - q*y + 61*y - 4*y**3 + 13*y**3.
3*y**2*(3*y - 2)
Factor -7/2*w**2 - 10*w + 1/2*w**4 - 6 + w**3.
(w - 3)*(w + 1)*(w + 2)**2/2
Let l(d) be the second derivative of 0 + 1/252*d**7 - 9*d - 1/60*d**5 - 1/9*d**4 - 7/36*d**3 + 1/90*d**6 - 1/6*d**2. Factor l(a).
(a - 2)*(a + 1)**4/6
Factor 2*p**2 + 115 + 48*p + 165 + 8.
2*(p + 12)**2
Let k = -1131 - -1136. Let h(c) be the second derivative of 10*c + 3/10*c**k + 7/45*c**6 - c**3 + 0 - 2/3*c**2 - 5/18*c**4. Find r, given that h(r) = 0.
-1, -2/7, 1
Let k(h) be the second derivative of h**5/12 - 5*h**4/8 + 5*h**3/3 - 7*h**2/2 - 3*h. Let g(s) be the first derivative of k(s). Find o such that g(o) = 0.
1, 2
Let o(k) = 17*k**2 - 14*k + 10*k**2 - 28*k**2 + 32. Let d be o(-16). Let 1/2*j**2 - 1/2*j**3 + 0 + d*j = 0. What is j?
0, 1
Let r be (4/(-10))/((4 - 6)/(-10)). Let q be r + ((-3 - -2)*1 - -3). Factor 2/5*x**3 - 2/5*x**5 + 0*x + 0 + 0*x**4 + q*x**2.
-2*x**3*(x - 1)*(x + 1)/5
Let k(r) = 2*r**3 - r**2 - 2*r. Let w = 13 - 9. Suppose -w*i - 7 = 5. Let y(o) = -o**3 + o + 1. Let b(q) = i*k(q) - 3*y(q). Solve b(t) = 0 for t.
-1, 1
Suppose 906*y = 904*y + 4. Let r(i) be the third derivative of 0 + 1/90*i**5 - 1/18*i**4 + 1/180*i**6 + 0*i**3 + i**y + 0*i. Factor r(w).
2*w*(w - 1)*(w + 2)/3
Let z(v) be the third derivative of -v**8/100800 + 2*v**5/3 + 20*v**2. Let c(p) be the third derivative of z(p). Find f such that c(f) = 0.
0
Suppose -a + 5*a = -8. Let v be a/(-24) + 12/18. Factor v*x + 1/4*x**2 + 1/2.
(x + 1)*(x + 2)/4
Let m(s) = s + 46. Let g be m(-11). Solve -w**3 + 26*w**3 + g*w**2 + 39*w + 30 - 134*w + 5*w**2 = 0.
-3, 2/5, 1
Let j be ((-2 + 2)/2)/2. Suppose -144597*r + 144631*r - 102 = 0. Suppose -1/6*y + j - 5/3*y**2 - 25/6*y**r = 0. Calculate y.
-1/5, 0
Let n(y) be the first derivative of -2*y**3/21 - 17*y**2/7 - 32*y/7 - 775. Factor n(v).
-2*(v + 1)*(v + 16)/7
Let d(j) be the third derivative of -j**7/1260 - j**6/360 + j**5/360 + j**4/72 + j**2 + j. Suppose d(x) = 0. Calculate x.
-2, -1, 0, 1
Let f(z) = -2*z**3 + 103*z**2 - 459*z + 633. Let j(i) = 25*i**3 - 1340*i**2 + 5965*i - 8230. Let k(d) = -40*f(d) - 3*j(d). Factor k(v).
5*(v - 14)*(v - 3)**2
Let d(n) be the third derivative of 1/30*n**5 + 0*n**3 + 0*n - 18*n**2 + 0 - 1/6*n**4. Determine s, given that d(s) = 0.
0, 2
Let j be 10 - 8 - (-146)/(-6972)*32. Let n = j - -2/581. Factor -1/3*y**5 - 5/3*y**3 + 2/3*y**2 + 0 + n*y**4 + 0*y.
-y**2*(y - 2)*(y - 1)**2/3
Factor 0*l + 3/4*l**5 + 0*l**4 + 0*l**2 - 3/4*l**3 + 0.
3*l**3*(l - 1)*(l + 1)/4
Let b be 269/1076*(-4)/(-7). Solve -3/7*j**2 + 0 - b*j**3 - 2/7*j = 0.
-2, -1, 0
Let x(k) = 11*k**3 - 63*k**2 + 64*k + 21. Let o(l) = -l**2 - 6 + l**3 - 16 + 23. Let q(r) = -6*o(r) - 2*x(r). Find g, given that q(g) = 0.
-2/7, 2, 3
Let o be 40/(-220) + 0 + 13366/66. Let n = -202 + o. Find f such that 1/3*f**2 - 2/3*f + n = 0.
1
Suppose 5*u = 2*u - 6*u. Let q be 0*(u + 3)/3. Factor 0 + q*c + 1/4*c**2.
c**2/4
Let f be 2244/1440 + 5/(-8). Solve f*l**4 + 12/5*l + 0 + 34/5*l**2 - 16/3*l**3 = 0 for l.
-2/7, 0, 3
Let k = 6465 + -6463. What is l in 0*l + 0 + 2/9*l**k - 2/9*l**3 = 0?
0, 1
Factor 0*c**3 + 224/5 + 2/5*c**4 - 144/5*c - 82/5*c**2.
2*(c - 7)*(c - 1)*(c + 4)**2/5
Let x(a) be the second derivative of -3/16*a**4 - 9/8*a**3 + 81/8*a**2 - 34*a + 3/80*a**5 + 0. Suppose x(q) = 0. Calculate q.
-3, 3
Let b be (4 - 5)*(-3 - -3 - 23). Suppose 0 = 2*z - 3*w, -b*z + 20*z = 3*w. Factor 2/13*f**2 + 0 + 8/13*f**3 + z*f - 10/13*f**4.
-2*f**2*(f - 1)*(5*f + 1)/13
Let j(b) = b**2 - b - 4. Let f be (-9)/2 + 2/4. Let n(z) = -z**2 - 3*z**2 + 5 + 3*z**2 - z + 2*z. Let s(r) = f*n(r) - 5*j(r). Solve s(m) = 0 for m.
0, 1
Factor -3/4*z**2 + 2*z - 1/8*z**3 + 0.
-z*(z - 2)*(z + 8)/8
Suppose -l - 14 = -16. Factor 8/7*x - 2/7*x**l - 6/7.
-2*(x - 3)*(x - 1)/7
Let m(r) be the third derivative of -1/30*r**5 + 0 - 10*r**2 + 0*r - 4/3*r**3 - 1/3*r**4. Factor m(w).
-2*(w + 2)**2
Let r = 7 + -6. Let -10*w - 2 - r - 2 - 5*w**2 = 0. Calculate w.
-1
Let f(a) = 23*a**4 - 23*a**3 + a**2 - a + 4. Let m(l) = l**5 + 24*l**4 - 23*l**3 - 2*l + 5. Let n(h) = -5*f(h) + 4*m(h). Let n(y) = 0. Calculate y.
-1/4, 0, 1, 3
Let d be 14/6*6/7. Let u(m) be the first derivative of -2 + 4/9*m**3 - 1/6*m**4 + 1/3*m**d - 4/3*m. Factor u(t).
-2*(t - 2)*(t - 1)*(t + 1)/3
Let l be (-2178)/(-605)*15/18. Determine b so that 1/7*b**4 + 27/7*b - 54/7 - b**l + 9/7*b**2 = 0.
-2, 3
Let f(q) be the first derivative of -q**7/42 + q**5/10 - q**3/6 + 4*q - 4. Let m(v) be the first derivative of f(v). Find t, given that m(t) = 0.
-1, 0, 1
Let z(h) be the third derivative of h**6/12 + 7*h**5/15 - h**4/4 - 19*h**2. Factor z(g).
2*g*(g + 3)*(5*g - 1)
Let c(s) = -s + 21. Let b be c(18). Factor 19*w - 3*w**4 + b*w**3 - 14*w - 11*w + 24*w**2 - 30*w.
-3*w*(w - 2)**2*(w + 3)
Let x be 8/6 + (-112)/(-24). Suppose -12 = -x*f + 12. Factor 0 - 2/5*b - 6/5*b**3 + 6/5*b**2 + 2/5*b**f.
2*b*(b - 1)**3/5
Determine d, given that 2/9*d**2 + 0 - 4/9*d + 2/9*d**3 = 0.
-2, 0, 1
Let k(y) be the first derivative of y**3 + 3*y**2 + 146. Factor k(n).
3*n*(n + 2)
Let q = 13574/13 - 1044. Determine d, given that -q + 4/13*d**2 - 2/13*d = 0.
-1/2, 1
Determine v, given that -74/13 + 2/13*v**4 + 68/13*v**3 - 216/13*v**2 + 220/13*v = 0.
-37, 1
Let t(h) = 2*h**2 - 2*h - 6. Let j = 19 - 25. Let g(l) = 4*l**2 - 4*l - 13. Let b(i) = j*g(i) + 13*t(i). Let b(m) = 0. Calculate m.
0, 1
Let m be (3 - 7 - 1)*3. Let l(b) = 6*b**3 - 7*b**2 + 3. Let a(z) = z**3 + z**2 - z + 1. Let q(i) = m*a(i) + 5*l(i). Factor q(p).
5*p*(p - 3)*(3*p - 1)
Factor 2609*p**2 - 2615*p**2 - 3*p**3 + 0 + 9*p + 0.
-3*p*(p - 1)*(p + 3)
Let x(s) = s**2 + 16*s + 18. Let y = -6 - 9. Let c be x(y). Factor -21/5*l**c + 3/5*l + 0 - 12/5*l**4 - 6/5*l**2.
-3*l*(l + 1)**2*(4*l - 1)/5
Let b be -3 + 1 + (18/15 - -1). Let l(u) be the third derivative of 0*u + 0 - 1/100*u**5 + b*u**3 - 1/40*u**4 + 2*u**2. Factor l(v).
-3*(v - 1)*(v + 2)/5
Suppose -5*k + 5 + 1 = 4*y, -y = 3*k + 2. Suppose 2*w = 5*j + 29, -2*j = -y*w - 0 + 18. Find x, given that -3/7*x**3 - 3/7 + 3/7*x + 3/7*x**w = 0.
-1, 1
Suppose 0*k = 5*k - 2*m - 38, -2*m = 2*k - 4. Let a(d) be the first derivative of 5 - d - k*d - 2*d + d**3 - 3*d. Factor a(i).
3*(i - 2)*(i + 2)
Let b(d) be the second derivative of -d**7/294 + d**6/14 - 23*d**5/140 - 43*d**4/84 + 8*d**3/7 + 26*d**2/7 + d - 4. Solve b(f) = 0.
-1, 2, 13
Let n = -26184 + 26187. Find a, given that -12/5*a**5 + 8/5 + 0*a**2 - 8*a**n + 4*a - 8*a**4 = 0.
-1, 2/3
Suppose 4*a - 8 = -0*c + 4*c, 10 = c + 5*a. Suppose 4*p - 300 = -c*p. Let -7*m**2 - 2*m**2 + 6*m + 78*m**3 - p*m**3 = 0. What is m?
0, 1, 2
Let b(a) be the first derivative of -a**5/15 - a**4/4 - a**3/3 - 20*a**2 - 5. Let i(c) be the second derivative of b(c). Factor i(m).
-2*(m + 1)*(2*m + 1)
Suppose 4*t**4 + 240*t + 112 + 136*t**2 - 4*t**2 + 48*t**3 + 40*t**2 = 0. Calculate t.
-7, -2, -1
Let f(l) be the third derivative of -l**6/220 - 3*l**5/110 - 7*l**2 - 25*l. Let f(m) = 0. What is m?
-3, 0
Let v(l) be the second derivative of l**7/210 - l**6/40 + l**5/30 - 9*l**2/2 - 12*l. Let d(p) be the first derivative of v(p). Solve d(u) = 0.
0, 1, 2
Let z(m) be the third derivative of m**8/168 - 2*m**7/105 + m**6/60 - 31*m**2 + m. Factor z(p).
2*p**3*(p - 1)**2
Let q(d) = d**3 + 11*d**2 - 7*d - 17. Let p be q(-11). Factor 59*a**3 - 95*a**2 + p*a - 12*a**4 - 15*a**4 - 16*a**2 - 12 + 31*a**3.
-3*(a - 1)**2*(3*a - 2)**2
Determine b so that 3/4*b + 3/4*b**4 - 1/4 - 1/2*b**3 - 1/4*b**5 - 1/2*b**2 = 0.
-1, 1
Let v = 175 - 172. Let u(n) = -6*n**2 - 6*n + 6. Let g = -3 - 2. Let z(f) = f**3 - 11*f**2 - 11*f + 11. Let j(h) = g*u(h) + v*z(h). Find y such that j(y) = 0.
-1, 1
Let p(d) be the second derivative of -5/27*d**3 - 1/90*d**5 - 2/27*d**4 - 2/9*d**2 + 6*d + 0. Factor p(u).
-2*(u + 1)**2*(u + 2)/9
Solve 4/9*g**2 + 4/9 + 10/9*g = 0.
-2, -1/2
Factor 1133729 + 1700999 + 525*m**2 - 973608 + 3498255 + 2*m**3 + 91875*m - m**3.
(m + 175)**3
Factor -4*r**4 + 7*r**4 - 369*r**2 - 24*r - 3*r**3 + 339*r**2.
3*r*(r - 4)*(r + 1)*(r + 2)
Suppose -3 = h - 17. Suppose -5*w + 25 - 6 = -q, 2*q - h = -3*w. Factor 5 - q + 3*t**3 - 3*t**2 - 1 - 3*t.
3*(t - 1)**2*(t + 1)
Le