 2/5*g**2 + g + 1/5*g**r + 0. Suppose d(q) = 0. What is q?
-2, -1
Let l(k) be the first derivative of -k**4/14 + 6*k**3/7 - 20*k**2/7 + 24*k/7 + 292. Factor l(d).
-2*(d - 6)*(d - 2)*(d - 1)/7
Suppose -99*o = 94*o - 200*o. Let d(a) be the third derivative of -1/75*a**5 + o*a - 1/24*a**4 + 0 - 1/600*a**6 - 6*a**2 - 1/15*a**3. Factor d(j).
-(j + 1)**2*(j + 2)/5
Suppose -49 = -7*y - 28. Factor 3*a**y - 2 - 1/2*a**4 - 13/2*a**2 + 6*a.
-(a - 2)**2*(a - 1)**2/2
Let o(j) be the second derivative of -j**5/60 + 7*j**4/3 - 392*j**3/3 + 10976*j**2/3 - 267*j. Let o(l) = 0. What is l?
28
Let u be (2*3/12)/1. Let r be ((-8)/(-16) + 2/(-4))/(-2). Factor -1/4*h**2 - u*h + r.
-h*(h + 2)/4
Let b(r) be the second derivative of r**5/12 + 5*r**4/4 + 25*r**3/6 + 5*r**2/2 + 7*r. Let w(y) be the first derivative of b(y). Factor w(s).
5*(s + 1)*(s + 5)
Let a(k) be the first derivative of -3*k**5/5 + 137*k**4/4 - 1541*k**3/3 - 529*k**2/2 - 293. Factor a(d).
-d*(d - 23)**2*(3*d + 1)
Suppose -11*g + 30 = -8*g. Let c(a) = 4*a - 13. Let k be c(g). Determine f, given that 3*f - 14 - f**3 + k - 11 = 0.
-1, 2
Let l(c) = -3*c + 89. Let d be l(29). Find m such that -27*m**3 + 8*m**4 - 7*m**4 + 12*m**d + 21*m**3 - 8*m = 0.
0, 2
Suppose 25*f = 8*f + 34. Let u(z) be the second derivative of -3/2*z**f + 1/2*z**3 + 0 - 3/20*z**5 + 1/4*z**4 + 7*z. Factor u(n).
-3*(n - 1)**2*(n + 1)
Let z = 3/1865 - -9316/5595. Factor z*q - 5/3*q**3 - 1/3*q**2 + q**4 - 2/3.
(q - 1)**2*(q + 1)*(3*q - 2)/3
Let c(n) be the second derivative of n**8/1680 + n**7/630 - n**6/90 + 5*n**4/3 + 9*n. Let g(u) be the third derivative of c(u). What is r in g(r) = 0?
-2, 0, 1
Let 6*l**3 + 3 - 5 - 3*l**5 + 0*l**3 - 9*l**4 - 7 - 3*l + 18*l**2 = 0. What is l?
-3, -1, 1
Factor 0*c**2 + 2 - 2 - 5*c**4 - 15*c**2 + 45*c - 25*c**3.
-5*c*(c - 1)*(c + 3)**2
Let k(t) be the third derivative of -1/12*t**4 - 7*t**2 + 0*t**3 + 1/30*t**5 + 0*t + 0. Solve k(j) = 0 for j.
0, 1
Let n(z) be the second derivative of -z**8/2520 + z**7/1260 + 7*z**3/6 + 10*z. Let c(d) be the second derivative of n(d). Determine f so that c(f) = 0.
0, 1
Let k(y) = 6*y**5 - 63*y**4 + 25*y**3 + 8*y + 4. Let d(q) = -5*q**5 + 65*q**4 - 25*q**3 - 10*q - 5. Let p(u) = -4*d(u) - 5*k(u). Let p(t) = 0. Calculate t.
0, 1/2, 5
Solve 2/5*d**3 + 0 - 4/5*d - 2/5*d**2 = 0 for d.
-1, 0, 2
Let r(q) be the first derivative of q**3/8 + 3*q**2/8 - 105*q/8 - 281. Let r(g) = 0. What is g?
-7, 5
Let n(s) be the first derivative of 5*s**3/12 + 19*s**2/4 - 4*s - 189. Determine l, given that n(l) = 0.
-8, 2/5
Factor -1/2*r**4 + 11/6*r**2 + 2/3 - 2*r - 1/6*r**3 + 1/6*r**5.
(r - 2)*(r - 1)**3*(r + 2)/6
Let t(u) be the second derivative of -u**8/1120 + u**7/1120 + 13*u**3/6 + 2*u. Let c(q) be the second derivative of t(q). Suppose c(d) = 0. What is d?
0, 1/2
Factor -4*u**2 - 12/5*u + 0 + 4/5*u**4 - 4/5*u**3.
4*u*(u - 3)*(u + 1)**2/5
Let z(n) be the second derivative of n**7/84 + n**6/20 - n**5/40 - 11*n**4/24 - n**3 - n**2 - 237*n - 1. Solve z(v) = 0 for v.
-2, -1, 2
Let w(a) = a**3 - 3*a**2 + 7*a - 5. Let g be w(2). Solve -12*o + 16*o**2 - 3*o**2 + 26*o**3 - 24*o**4 - g*o**2 + 2*o**2 = 0 for o.
-2/3, 0, 3/4, 1
Let i = 1 + 1. Factor 32*x + i*x**3 + 1 + 1 - 2 - 16*x**2.
2*x*(x - 4)**2
Let k(s) be the second derivative of s**7/11340 + s**6/810 + s**5/135 - s**4/2 - 6*s. Let m(a) be the third derivative of k(a). Let m(t) = 0. Calculate t.
-2
Let v(p) = p**2 - 4*p. Let k(z) = -3*z**2 + 7*z - 1. Let w(l) = -2*k(l) - 5*v(l). Let o be w(-6). Factor 0*r - 6 - 2 + 2*r**o - 6*r**2 + 12*r.
-4*(r - 2)*(r - 1)
Let i(z) = z**3 + 11*z + 5. Let b(n) = -4*n - 2. Let j(g) = -7*b(g) - 2*i(g). Factor j(o).
-2*(o - 2)*(o + 1)**2
Factor 3/4*h**4 + 0*h**3 + 0*h + 0 - 3/4*h**2.
3*h**2*(h - 1)*(h + 1)/4
Let t = 836 + -836. Factor 0*j + 0*j**2 + t + 12/7*j**4 - 18/7*j**5 - 2/7*j**3.
-2*j**3*(3*j - 1)**2/7
Factor -1/2 + 0*w + 1/2*w**2.
(w - 1)*(w + 1)/2
Let s be 15/(-15) + 51/40. Let l(g) be the third derivative of -s*g**6 - 6/5*g**5 + 0 + 0*g + 8*g**2 - 15/8*g**4 - g**3. Factor l(d).
-3*(d + 1)**2*(11*d + 2)
Let p(c) be the first derivative of -2*c**3/21 - 4*c**2/7 - 6*c/7 - 71. Factor p(t).
-2*(t + 1)*(t + 3)/7
Let w(p) be the first derivative of 2*p**3/9 + 5*p**2/3 + 4*p + 190. Find y such that w(y) = 0.
-3, -2
Suppose -j - 436 = -3*v - 460, j - 10 = v. Factor 1/2*t**j - 4*t + 0 + t**2.
t*(t - 2)*(t + 4)/2
Find k, given that -108/17*k + 46/17*k**2 + 4/17*k**3 + 0 = 0.
-27/2, 0, 2
Let m = 1054 - 1050. What is i in 32/15*i**3 + 22/15*i**2 - 2*i**m - 32/15*i + 8/15 = 0?
-1, 2/5, 2/3, 1
Suppose 570 + 2130 = -18*c. Let r be ((-5)/(-2))/(c/(-50)). Factor -1/2*t**3 - 7/6*t**2 - 1/6 - r*t.
-(t + 1)**2*(3*t + 1)/6
Suppose 16*i - 13 = 51. Factor -k**i + 14*k**3 - 6*k + 22*k**4 - 9*k**2 - 1611*k**5 + 1620*k**5 - 5*k**3.
3*k*(k + 1)**3*(3*k - 2)
Let i(m) = 6 - 6 + 1 - m**3. Let g(a) = 3*a**3 + 16*a**2 - 6*a + 3. Let o(x) = 2*g(x) - 6*i(x). Determine t so that o(t) = 0.
-3, 0, 1/3
Factor -123*z**2 - z**3 + 9 + 64*z**2 - 19*z + 70*z**2.
-(z - 9)*(z - 1)**2
Suppose 0 = 5*k - 3*z + 7, 6*k = 4*k - 4*z + 18. Let q(w) = -8*w**2. Let r(n) = -n**2 + n. Let u(a) = k*q(a) - 4*r(a). Solve u(i) = 0.
-1, 0
Let y = -935 + 937. Suppose -2 + 6 = -3*s - 2*l, 4*s - 10 = 5*l. Suppose s*w - 9/7*w**3 + 0 - 15/7*w**4 + 6/7*w**y = 0. Calculate w.
-1, 0, 2/5
Let f be (-2)/(-6) - 1*11/(-3). Factor 2*x**2 - 12*x**f + 3*x + 18*x**3 + 3*x**5 - 4*x**2 - 10*x**2.
3*x*(x - 1)**4
Let z = 127/84 + -8207/1428. Let g = 250/51 + z. Solve g*t**2 - 1/2 - 1/6*t**4 - 1/3*t**3 + 1/3*t = 0 for t.
-3, -1, 1
Suppose 4*i = 39*c - 22*c - 12*c, -3*c = 0. Determine u, given that 21/2*u**4 - 13/2*u**3 + 0*u + i + u**2 = 0.
0, 2/7, 1/3
Let n be 2/(-3) - 590/(-15). Let f = -38 + n. Factor f*c**3 + 0*c**2 - 1/3*c**4 + 1/3 - 2/3*c.
-(c - 1)**3*(c + 1)/3
Let x(n) be the first derivative of -n**9/6048 + n**8/3360 + n**7/840 - 10*n**3/3 - 34. Let j(l) be the third derivative of x(l). Factor j(z).
-z**3*(z - 2)*(z + 1)/2
Let u = -83 - -85. Factor -2*q**4 + q**5 + 5*q**4 + 50*q**2 - 54*q**u.
q**2*(q - 1)*(q + 2)**2
Let x(t) be the first derivative of t**7/840 - t**5/30 + 2*t**3/3 + 2*t**2 + 10. Let q(j) be the second derivative of x(j). What is p in q(p) = 0?
-2, 2
Let v(q) be the second derivative of -q**6/150 + 4*q**5/25 - 7*q**4/10 + 4*q**3/3 - 13*q**2/10 + 7*q + 4. Solve v(m) = 0.
1, 13
Suppose -4*n + t + 33 = n, 3*n + 3*t = 9. Solve -9 - 3*h**2 + n - 45 - 24*h = 0 for h.
-4
Let y(g) = g - 2. Let d be y(-6). Let c = 11 + d. Let 2*i - 3*i - i**5 + i + i**c = 0. What is i?
-1, 0, 1
Suppose 0 + 0*z - 4/3*z**4 - 4*z**2 + 16/3*z**3 = 0. Calculate z.
0, 1, 3
Let j(v) be the second derivative of -v**4/12 - 4*v**3/3 - 4*v**2 - v. Let f be j(-6). Factor 2*q**2 + f - 12 + 2*q**2 + 4*q.
4*(q - 1)*(q + 2)
Let s(u) be the second derivative of u**5/50 + 19*u**4/30 + 112*u**3/15 + 192*u**2/5 - 33*u - 4. Determine m so that s(m) = 0.
-8, -3
Let u(y) = -y**2 - 18*y + 284. Let h be u(10). Factor -w + 6*w**2 + 5/2*w**h - 7*w**3 - 1/2.
(w - 1)**3*(5*w + 1)/2
Let w be 0 + (-8 - -10) + 2. Factor 0*n**2 - 1/3*n**3 + 4/9*n + 1/9*n**w + 0.
n*(n - 2)**2*(n + 1)/9
Let r(g) be the second derivative of 5*g**7/42 + 2*g**6/3 + g**5/4 - 35*g**4/6 - 50*g**3/3 - 20*g**2 + 106*g. Determine l so that r(l) = 0.
-2, -1, 2
Let v(c) be the second derivative of c**7/20160 - c**6/1440 + c**5/240 - 7*c**4/12 + 2*c. Let k(r) be the third derivative of v(r). Factor k(b).
(b - 2)**2/8
Let w(n) be the first derivative of -4*n**3/3 + 38*n**2 - 85. Let w(b) = 0. What is b?
0, 19
Let b(k) be the third derivative of -k**5/120 - 3*k**4/8 + 21*k**3/4 + k**2 + 325*k. Let b(f) = 0. Calculate f.
-21, 3
Let r(j) be the second derivative of -1/80*j**5 + 0 + 1/16*j**4 - j + 0*j**2 - 1/12*j**3. Find n, given that r(n) = 0.
0, 1, 2
Suppose -4*z + 28 = -t + 5, 0 = -5*z + 25. Let o be 117/30 + -3 + t/(-5). Find m such that 1 + 1/2*m**2 + o*m = 0.
-2, -1
Let c be (3/(-90))/((-3 - -2)*12). Let o(f) be the third derivative of -4*f**2 - c*f**6 - 1/6*f**3 + 1/72*f**4 + 0*f + 1/60*f**5 + 0. Find s such that o(s) = 0.
-1, 1, 3
Factor 11 - 15 + 5 + 3*k**3 + 8 + 15*k**2 + 21*k.
3*(k + 1)**2*(k + 3)
Suppose 4*q = 4*v + 3*q - 667, q = 5. Let o be (-18)/v*(-8 + 0). Factor -8/7*d + 0*d**2 + 0 - 2/7*d**4 + o*d**3.
-2*d*(d - 2)**2*(d + 1)/7
Let 