 60 + 12*t**v - 20. Let q(i) = -16*c(i) + 5*u(i). Factor q(w).
2*(w - 3)**2
Let c = -465/19 - -5457/209. Let 0*l**2 - 6/11*l**3 - 12/11 + c*l = 0. Calculate l.
-2, 1
Let i(g) be the second derivative of -g**6/200 - g**5/60 + g**4/30 + 2*g**3/15 + 8*g**2 - 8*g. Let d(j) be the first derivative of i(j). Factor d(k).
-(k - 1)*(k + 2)*(3*k + 2)/5
Let z(v) be the second derivative of 0*v**2 - 1/5*v**4 + 8*v - 2/25*v**6 + 0 + 1/10*v**3 + 1/70*v**7 + 9/50*v**5. Let z(k) = 0. Calculate k.
0, 1
Let h be 5 - -6 - (10 + -2). Let i(w) be the third derivative of 0*w - 1/36*w**4 + 13*w**2 + 0 + 1/12*w**h + 1/360*w**5. Factor i(p).
(p - 3)*(p - 1)/6
Determine o, given that 2/15*o**2 + 2/5*o - 4/3 = 0.
-5, 2
Let p(r) be the third derivative of -2*r**7/35 + 11*r**6/40 - 3*r**5/10 - 251*r**2. Let p(b) = 0. What is b?
0, 3/4, 2
Let o(s) be the second derivative of -s**5/80 + s**4/24 + s**3/24 - s**2/4 - 105*s. What is y in o(y) = 0?
-1, 1, 2
Factor 61*g**2 - 1445*g + 51*g**2 - 5*g**3 + 58*g**2.
-5*g*(g - 17)**2
Let b = 35134 + -175654/5. Let -56/5*l**2 + 14/5*l**4 - 4/5*l**3 + 0 + b*l = 0. What is l?
-2, 0, 2/7, 2
Factor 3*o**3 - 26*o**2 - 12*o**2 + 3*o - 17*o**2 + 9*o**2 + 30 + 10*o.
(o - 15)*(o - 1)*(3*o + 2)
Suppose 15*x = 19*x - 8. Let c(w) be the second derivative of 3/80*w**5 + 0 + 3/16*w**4 + 1/4*w**3 - 5*w + 0*w**x. Determine h, given that c(h) = 0.
-2, -1, 0
Let h(v) = v**3 + v + 1. Let o(y) = 2*y**4 - 4*y**3 - 4*y**2 - 2*y - 2. Let r(a) = 2*h(a) + o(a). Find q, given that r(q) = 0.
-1, 0, 2
Let r(z) be the third derivative of 1/105*z**7 + 0 + 14*z**2 - 2/3*z**4 - 1/10*z**6 + 0*z + 2/5*z**5 + 0*z**3. Factor r(y).
2*y*(y - 2)**3
Factor -8 - 36*o**2 + 8 + 6*o + 39*o**2.
3*o*(o + 2)
Let u(q) be the second derivative of -q**6/10 - 12*q**5/5 + 9*q**4/2 + 8*q**3 - 51*q**2/2 - 182*q. What is c in u(c) = 0?
-17, -1, 1
Let c(z) be the second derivative of z**6/10 + 3*z**5/10 - z**4 - z**3 + 9*z**2/2 - 130*z. Solve c(h) = 0 for h.
-3, -1, 1
Let d = 198 + -1306/7. Find r, given that -20/7*r - 160/7*r**3 + 160/7*r**4 + d*r**2 + 2/7 - 64/7*r**5 = 0.
1/2
Let y(g) = -g**3 + 6*g**2 - g + 6. Let z = 43 - 37. Let c be y(z). What is w in 1/2*w**2 + w + c = 0?
-2, 0
Let j(b) be the first derivative of 3*b**3 - 12*b + 3/4*b**4 + 0*b**2 + 3. Solve j(h) = 0.
-2, 1
Let a(o) = -15*o**2 - 125*o. Let p(z) = 8*z**2 + 63*z. Let v(i) = -3*a(i) - 5*p(i). Let v(l) = 0. Calculate l.
-12, 0
Let u = -4820/3 + 1607. Let b(i) be the first derivative of 10 - 1/9*i**3 + 0*i - u*i**2. Factor b(a).
-a*(a + 2)/3
Let p = -13641 - -13641. Solve 3/2*r**5 - 3*r**3 + p*r**2 + 0*r + 0 + 3/2*r**4 = 0 for r.
-2, 0, 1
Let t(k) be the third derivative of -k**6/40 + k**5 + 43*k**4/8 + 11*k**3 + 3*k**2 - 29*k. Determine p, given that t(p) = 0.
-1, 22
Let v(y) be the first derivative of 20*y**5 - 45*y**4 - 28*y**3 + 98*y**2 - 81. What is h in v(h) = 0?
-1, 0, 7/5
Let g(r) be the first derivative of r**5/45 + r**4/6 + 4*r**3/9 - 3*r**2/2 - 24. Let s(y) be the second derivative of g(y). What is z in s(z) = 0?
-2, -1
Let h be ((-20)/(-8) - 2)/((-1)/(-6)). Let m be 4/(-10) + 0 + 104/160. Solve d**h + d - 1/4*d**4 - m - 3/2*d**2 = 0 for d.
1
Suppose -2 = -3*c + 10. Factor c*z**4 + 4*z**2 - 7*z**4 - z**4.
-4*z**2*(z - 1)*(z + 1)
Let l(m) be the second derivative of 0*m**4 + 8/5*m**5 + 0*m**3 - 8/15*m**6 + 8*m + 1/21*m**7 + 0*m**2 + 0. Factor l(b).
2*b**3*(b - 4)**2
Let f(b) be the first derivative of 10/3*b**3 - 4 + 4*b + 7/2*b**2. Let i(p) = 7*p**2 + 5*p + 3. Let x(a) = -5*f(a) + 7*i(a). Determine k so that x(k) = 0.
-1, 1
Let r(t) be the first derivative of -2*t**5/15 + 3*t**4/2 + 44*t**3/9 - 379. Find f such that r(f) = 0.
-2, 0, 11
Let h(t) = 3*t**2 - 30*t - 62. Let q(j) = 4*j**2 - 45*j - 92. Let v(y) = -7*h(y) + 5*q(y). Solve v(r) = 0 for r.
-13, -2
Factor 1682/3 + 2/3*g**2 + 116/3*g.
2*(g + 29)**2/3
Let t(x) = -2*x + 21. Let q be t(9). Factor 8 - 18*c - 66*c**3 + 12*c**2 + 33*c**3 + 31*c**q.
-2*(c - 4)*(c - 1)**2
Let q(k) be the second derivative of k**6/50 + 18*k**5/25 + 23*k**4/20 - 543*k - 2. Factor q(y).
3*y**2*(y + 1)*(y + 23)/5
Let h be 5/((-1120)/(-1248)) + 1*1*-5. Factor 169/7*q**2 + 52/7*q + h.
(13*q + 2)**2/7
Let q(t) be the third derivative of 1/30*t**5 + 1/6*t**4 - 27*t**2 + 0*t - t**3 + 0. Determine m so that q(m) = 0.
-3, 1
Let p(r) = r**3 + 17*r**2 - 13*r - 5. Let t(s) = -s**3 - 16*s**2 + 8 - 10*s**2 + 0 + 20*s - s**3. Let v(b) = 8*p(b) + 5*t(b). Factor v(n).
-2*n*(n - 2)*(n - 1)
Suppose 116*w + 66*w = 546. Let 0 + 0*a + 2/15*a**2 - 2/15*a**w = 0. Calculate a.
0, 1
Solve 12*v**2 - 32 + 77 - 36 + 39*v = 0 for v.
-3, -1/4
Let y(v) = -3*v - 1. Let f be y(-2). Let x(a) = a**2 + a - 4. Let n be x(-3). Let -3*o + n*o - 22*o**2 + 2*o**4 + o**f + 20*o**2 = 0. What is o?
-1, 0, 1
Let y(a) = -2*a**2 + 47*a - 51. Let d(i) = -4*i**2 + 140*i - 152. Let x(h) = -3*d(h) + 8*y(h). Factor x(q).
-4*(q - 1)*(q + 12)
Let g(v) be the third derivative of 0*v**4 + 0*v**3 + 15*v**2 + 0 + 1/4*v**5 - 1/40*v**6 + 0*v. What is l in g(l) = 0?
0, 5
Suppose 0 = -3*u - 0*u, l - 12 = 2*u. Solve 21*w**5 - w**5 + l*w**4 + 8*w + 0*w - 28*w**3 + 0*w**5 - 12*w**2 = 0.
-1, 0, 2/5, 1
Let p = -169 + 509/3. Let b(h) be the first derivative of 4 + 1/9*h**3 + 4/3*h - p*h**2. Factor b(r).
(r - 2)**2/3
Let y be ((6/(-18))/(-1))/((-3)/(-36)). Factor -16/7*t**3 + 6/7*t**y + 0*t - 2/7 + 12/7*t**2.
2*(t - 1)**3*(3*t + 1)/7
Let x be ((-1)/((-2)/(-6)))/((-13)/39). Suppose -4*y = -i - x + 31, 0 = -3*i + 5*y + 31. What is q in -8/11*q + 8/11*q**i + 2/11 = 0?
1/2
Factor -11/8*l + 5/4 + 1/8*l**2.
(l - 10)*(l - 1)/8
Let u be (-21)/(1134/(-45))*((-54)/(-10))/3. Let -6 - 6*l - u*l**2 = 0. Calculate l.
-2
Let t(i) be the second derivative of 3/5*i**4 + 9/20*i**5 + 2/5*i**3 + 4*i + 0 + 5/2*i**2 + 1/8*i**6. Let r(u) be the first derivative of t(u). Factor r(c).
3*(c + 1)*(5*c + 2)**2/5
Let q(f) = f**2 - 18*f + 37. Let t be q(16). Factor -2*r**2 - 3*r**3 + 4*r - r**4 + r - t*r.
-r**2*(r + 1)*(r + 2)
Let s = 167 + -167. Let o(y) be the third derivative of 0*y + s + 1/24*y**4 + 0*y**3 + 1/60*y**5 - 4*y**2. Solve o(f) = 0.
-1, 0
Suppose -5*t + 2*f = -521, -5*t + 3*f + 527 = -f. Suppose 5*b - t = -43. Find k, given that -4*k**2 - b*k + 7*k**3 - 3*k**3 + 8 - 4*k**4 + 8*k**3 = 0.
-1, 1, 2
Suppose 2*v = -4*m + 8, 4*m - 3 = v + 5. Factor -37*l**2 - 39*l**2 + m*l + l**3 + 103*l**2 - 30*l**2.
l*(l - 2)*(l - 1)
Suppose -i = -10 + 7. Let s(x) be the second derivative of -5/3*x**4 - 4/3*x**i + 0 + 6*x**2 + 7*x. Factor s(k).
-4*(k + 1)*(5*k - 3)
Let f(d) = d**2 + 23*d + 63. Let u be f(-20). Let k(n) be the second derivative of 0*n**2 + 1/3*n**4 + 4/3*n**u - 2*n + 0. Factor k(y).
4*y*(y + 2)
Let v(k) be the second derivative of 5*k**7/14 - 26*k**6/5 + 21*k**5 + k**4/2 - 145*k**3/2 + 75*k**2 - 109*k. Let v(p) = 0. Calculate p.
-1, 2/5, 1, 5
Let p be (-1 + (-9)/(-1))/2. Let m(c) be the second derivative of 1/84*c**p + 2/21*c**3 + 3/14*c**2 + 9*c + 0. Determine h so that m(h) = 0.
-3, -1
Let f be (5 + -4)/(27/108). Determine r, given that -1/2*r**3 + 3/2*r**2 - 1/2*r**f + 1 + 5/2*r = 0.
-1, 2
Let u(b) = -15*b**4 - 400*b**3 + 400*b**2 + 5. Let d(a) = 7*a**4 + 199*a**3 - 200*a**2 - 2. Let k(v) = 5*d(v) + 2*u(v). Factor k(s).
5*s**2*(s - 1)*(s + 40)
Let t(y) = -69*y - 1723. Let c be t(-25). Factor -16/9*m**c + 34/9*m + 2/9*m**3 - 20/9.
2*(m - 5)*(m - 2)*(m - 1)/9
Let q(b) be the second derivative of 5*b**4/4 - 4*b. Let o be q(-1). Solve -o*r - 10*r - r**2 + 26*r = 0 for r.
0, 1
Let z(s) be the second derivative of 1/20*s**5 + 0*s**3 + 0 - 1/2*s**2 - 9*s + 3/32*s**4 + 1/160*s**6. Let l(x) be the first derivative of z(x). Factor l(f).
3*f*(f + 1)*(f + 3)/4
Let d(f) = 2*f**2 - 4*f - 4. Let k be d(4). Find q such that -36*q**2 + 33*q**3 - 13*q**3 + 16*q - k*q**2 = 0.
0, 2/5, 2
Suppose 3*h - 5*p = -h, 0 = p - 4. Let g be h + 8/(1 - 5). Find k such that -k**3 + 12*k + 4*k**g + 4 + 9*k + 5 + 15*k**2 = 0.
-3, -1
Let i be 0 + -14 - (3 + -1). Let w(p) = -p**2 - 16*p + 2. Let g be w(i). Find a such that -a - 20*a**4 - 4*a**3 - 40*a**2 - 7*a + 60*a**g + 12*a**5 = 0.
-1, 0, 2/3, 1
Solve 17/2*l + 0 - 1/2*l**3 + 8*l**2 = 0 for l.
-1, 0, 17
Let r be 0/4 - (-2 + 0). Factor 2*p**3 + 18*p + 3*p**2 - 13*p**r - 2*p**2.
2*p*(p - 3)**2
Let x = -770 - -770. Let x*g + 7/3*g**4 + 5/3*g**2 + 0 - 1