y(a). Find b such that c(b) = 0.
-50, 0
Let j(q) be the first derivative of q**5/40 - q**4/24 - q**3/12 + q**2/4 - 76*q + 84. Let o(z) be the first derivative of j(z). What is a in o(a) = 0?
-1, 1
Let r(x) be the first derivative of 2/33*x**3 + 3/11*x**2 + 4/11*x - 3. Suppose r(c) = 0. What is c?
-2, -1
Let n(c) = 59*c - 4415. Let a be n(75). Let k(b) be the second derivative of -1/2*b**5 - 24*b - a*b**2 - 3*b**4 + 11*b**3 + 0. Factor k(h).
-2*(h - 1)*(h + 5)*(5*h - 2)
Find i, given that -3/4*i**3 + 33/4*i**2 - 15 - 6*i = 0.
-1, 2, 10
Let a be (-110)/8 - 7/28. Let x be a*6/12 + 10. What is i in -4/7*i**x + 0 + 0*i + 2/7*i**4 + 2/7*i**2 = 0?
0, 1
Suppose -2*w = 19*a - 16*a - 34, 4*a = -5*w + 64. Let p(g) be the first derivative of -12 - 4/3*g**3 - 2*g**2 + w*g. Factor p(u).
-4*(u - 1)*(u + 2)
Let m(b) be the first derivative of -b**3/15 - 39*b**2/2 - 576*b/5 - 2433. Factor m(x).
-(x + 3)*(x + 192)/5
Let n = 4020 + -2400. Factor -20*p + 5*p**2 + 0*p**2 + 38*p + 162*p + n.
5*(p + 18)**2
Let t(f) = -15*f**2 + 3282*f - 2692909. Let j(r) = -r**2 - 2. Let m(i) = 70*j(i) - 5*t(i). Factor m(w).
5*(w - 1641)**2
Let q(p) be the second derivative of p**7/56 + 11*p**6/40 + 21*p**5/80 - 143*p**4/16 + 7*p**3 + 147*p**2/2 + 2477*p. Suppose q(w) = 0. What is w?
-7, -1, 2
Suppose -192/5 + 22/15*p**4 + 304/5*p - 28/15*p**3 - 2/15*p**5 - 328/15*p**2 = 0. What is p?
-4, 1, 2, 6
Let u be (-11)/(-1) + (-170107)/17955 + 4/54. Let 4/5*x**3 - u*x**2 - 12/5*x + 0 = 0. What is x?
-1, 0, 3
Let t(a) = a**2 - 3*a - 1. Let r be (8/(-20))/(3/705). Let q = r + 26. Let d(y) = 12*y**2 - 32*y - 10. Let v(h) = q*t(h) + 6*d(h). Let v(s) = 0. Calculate s.
-2, -1
Let r(g) = -3*g**2 + 15*g - 460. Let z(l) = -4*l**2 + 22*l - 459. Let t(m) = 5*r(m) - 4*z(m). Factor t(k).
(k - 29)*(k + 16)
Let x(g) = -43*g**2 - 159*g + 866. Let y be x(3). Factor 10/3 + 16/9*z + 2/9*z**y.
2*(z + 3)*(z + 5)/9
Let f(w) = -2*w**3 + 130*w**2 - 566*w - 674. Let j(i) = -2*i**3 + 135*i**2 - 565*i - 675. Let z(d) = -9*f(d) + 8*j(d). Find x, given that z(x) = 0.
-1, 9, 37
Determine d, given that -360 - 3/2*d**4 - 288*d**2 - 54*d**3 - 552*d = 0.
-30, -2
Factor 473 + 5210*v + 467 - 2646*v - 2803*v + v**2.
(v - 235)*(v - 4)
Let q = -773 - -775. Let -64*r**3 + 5*r**4 - 256 + 162*r**2 - r**4 + 240*r**q - 150*r**2 + 64*r = 0. What is r?
-1, 1, 8
Let o = 2770 + -8303/3. Let z(f) be the first derivative of 13 + 2*f + 10/9*f**3 - o*f**2 - 1/6*f**4. Find l such that z(l) = 0.
1, 3
Let b = -172533 - -172537. Find f, given that 0 - 2/3*f**b - 4/3*f - 8/3*f**3 - 10/3*f**2 = 0.
-2, -1, 0
Let t(n) be the third derivative of -n**9/36288 + n**8/2016 - 83*n**5/60 - 2*n**2 - 16*n. Let v(o) be the third derivative of t(o). Solve v(u) = 0 for u.
0, 6
Let a be ((-1257)/6285)/(2/16)*2*-5. Suppose -16/5 - 8/5*v - 158/5*v**3 - 14/5*v**5 + 116/5*v**2 + a*v**4 = 0. What is v?
-2/7, 1, 2
Let c(p) be the third derivative of p**7/630 - 13*p**6/180 + 133*p**5/180 + 1619*p**2. Let c(x) = 0. Calculate x.
0, 7, 19
Let o(w) be the second derivative of w**5/20 - 17*w**4/12 - 10*w**3/3 + 18*w**2 - 504*w. Factor o(n).
(n - 18)*(n - 1)*(n + 2)
Let m = -215205 - -215205. Factor -2/9*t**3 - 92/9*t**2 + m - 1058/9*t.
-2*t*(t + 23)**2/9
Let l = -3/230969 - -692928/1616783. Solve -6/7*k**3 + 45/7*k**2 - l*k**4 + 108/7*k + 0 = 0.
-3, 0, 4
Let b be (-136)/119*14/(-4). Suppose 0 = b*a - 7*a + 6. Determine w, given that -8 + 36*w**3 - 40*w**3 + 2*w**a - 2*w**2 + 12*w = 0.
-2, 1
Let r(v) be the first derivative of 7/6*v**6 - 165/4*v**4 - 119/3*v**3 - 125 - 61/5*v**5 + 0*v - 11*v**2. Suppose r(a) = 0. Calculate a.
-1, -2/7, 0, 11
Let h be -21 - -17 - (-7*(-12)/224 - 51/8). Factor 2/9*a + 0 + 4/9*a**h + 2/9*a**3.
2*a*(a + 1)**2/9
Let x(o) be the first derivative of -39 - o**3 + 0*o + 9/2*o**2. Factor x(b).
-3*b*(b - 3)
Let d(c) = 4*c**2 - 521*c + 4858. Let s(l) = -l**2 + 174*l - 1637. Let p(r) = 4*d(r) + 11*s(r). Determine t, given that p(t) = 0.
15, 19
Find a such that 10*a - 205*a**2 + 190*a**2 + 7*a - 44*a = 0.
-9/5, 0
Let k(v) = v**3 - 5*v**2 - 19*v + 8. Let i = -4385 - -4384. Let g = -11 + 8. Let l(r) = r**3 + r**2 + r. Let t(z) = g*l(z) + i*k(z). Factor t(f).
-2*(f - 2)*(f + 2)*(2*f - 1)
Let m = -28 + 42. Let i be m/35 - (1 - 66/10). Factor -5*s**2 - 2 - 4*s**3 - 2*s**5 - 44*s**4 + i*s + s**2 + 50*s**4.
-2*(s - 1)**4*(s + 1)
Let v = 1282683/7 + -183189. Factor -v + 48/7*d + 2*d**2 - 2/7*d**3.
-2*(d - 6)**2*(d + 5)/7
Let r be (1 - (-7)/(-3))/(25/((-2625)/28)). Find d such that 5/4*d**r - 25/4*d**3 + 5*d + 0*d**4 + 0 + 0*d**2 = 0.
-2, -1, 0, 1, 2
Suppose 0 = 6*r - 240 - 750. Suppose -43*b = -r - 7. Determine y, given that 0*y + 0*y**3 + 0 - 3/7*y**2 + 3/7*y**b = 0.
-1, 0, 1
Let m(q) be the second derivative of 5*q**7/42 - 11*q**6/6 - 25*q**5/4 - 65*q**4/12 + 3766*q. Solve m(y) = 0.
-1, 0, 13
Let u(g) be the first derivative of -4*g**3/3 + 76*g**2 + 860*g + 6097. Find y, given that u(y) = 0.
-5, 43
Suppose 2*t + a - 8 = 0, 3*t + 7 - 20 = -2*a. Let u be ((-11)/55 + 4/20)/(-1). Factor 7/5*x**t + u*x + 0 + 2/5*x**2.
x**2*(7*x + 2)/5
Suppose -18*m + 14 = -11*m. Suppose -8 - 3*r - 4*r + 9*r**2 - 8*r**m = 0. Calculate r.
-1, 8
Let s(m) be the third derivative of 2/35*m**7 - 12 + 33/40*m**6 + 9/5*m**5 + 7/8*m**4 + 0*m - m**2 + 0*m**3. Find f such that s(f) = 0.
-7, -1, -1/4, 0
Factor 404/11 - 2/11*p**2 - 402/11*p.
-2*(p - 1)*(p + 202)/11
Let x be (-6)/9 + (-16)/(-504) + 160/252. Factor x + 0*m**2 + 2/7*m - 2/7*m**3.
-2*m*(m - 1)*(m + 1)/7
Let v(b) be the first derivative of 24/7*b - 1/14*b**4 - 70 + 2/3*b**3 - 16/7*b**2. Let v(s) = 0. What is s?
2, 3
Suppose -o + 2 = 3*r, 0 = -9*o + 6*o + 6. Let f(g) be the first derivative of -1/6*g**4 + 2/15*g**5 + 0*g + r*g**3 - 15 + 0*g**2. What is d in f(d) = 0?
0, 1
Suppose -2*u + 24 = 5*p, 3*u - 14 = 67*p - 69*p. What is w in 14/25*w**2 - 6/25*w**p + 2/25*w**5 - 2/25*w**3 - 8/25 + 0*w = 0?
-1, 1, 2
Let o = -292 - -202. Let q = o + 94. Let -6/5*g**3 - 2/5*g**q - 4/5*g**2 + 0 + 0*g = 0. What is g?
-2, -1, 0
Let p(d) be the third derivative of d**7/70 + 17*d**6/40 + 17*d**5/5 - 16*d**4 - 384*d**3 + 74*d**2. Find z such that p(z) = 0.
-8, -4, 3
Let c(q) = q + q**2 + 14 - 4*q + 11*q. Let p be c(-6). Solve -20*t + 2*t**2 + 2*t**3 - 7*t**p + 20 + 3*t**3 = 0.
-2, 1, 2
Let d be 2 + 1274/252 + -7. Let i(j) be the first derivative of -d*j**3 + 24 + 0*j + 1/4*j**2. Factor i(r).
-r*(r - 3)/6
Let p(z) be the third derivative of -z**7/70 + 41*z**6/40 - 219*z**5/10 + 40*z**4 + 400*z**3 + 1491*z**2. Factor p(l).
-3*(l - 20)**2*(l - 2)*(l + 1)
Let p(r) be the first derivative of r**5/10 - r**4/6 - r**3/3 + r**2 - 35*r + 122. Let z(u) be the first derivative of p(u). Factor z(k).
2*(k - 1)**2*(k + 1)
Suppose 4*l - 7*u + 4*u = 0, -3*u + 21 = 3*l. Suppose r + 2 = -b, -4*b + l*r + 20 = -0*r. Factor -j**b + j**2 + j**2 - 4 + 3*j**2.
4*(j - 1)*(j + 1)
Let j(s) be the second derivative of -4*s - 24*s**3 - 5 + 17/3*s**4 + 8*s**2. Factor j(i).
4*(i - 2)*(17*i - 2)
Let j(a) be the second derivative of -a**7/7 + 173*a**6/15 - 11*a**5 - 115*a**4/3 + 113*a**3/3 + 57*a**2 - 9*a - 146. Determine f, given that j(f) = 0.
-1, -1/3, 1, 57
Let i(s) be the first derivative of 486*s + 351/2*s**2 + 3/4*s**4 + 20*s**3 - 200. Factor i(f).
3*(f + 2)*(f + 9)**2
Let -20416/7*o - 1/7*o**5 + 30976/7 - 32/7*o**4 + 3760/7*o**2 - 4/7*o**3 = 0. Calculate o.
-22, 4
Let v(s) be the second derivative of s**5/70 - 205*s**4/21 + 407*s**3/21 + 818*s**2/7 + 4*s - 64. Factor v(i).
2*(i - 409)*(i - 2)*(i + 1)/7
Let x(y) be the third derivative of -y**7/210 + 19*y**6/300 - 27*y**5/100 + 3*y**4/10 - 4566*y**2 + 1. Determine l so that x(l) = 0.
0, 3/5, 3, 4
Let o be (-3 + 34)/(9 + 2) + (-24)/(-132). Let v(u) be the third derivative of 1/420*u**5 - 1/7*u**o - 5/168*u**4 + 0*u + 38*u**2 + 0. Factor v(y).
(y - 6)*(y + 1)/7
Let h(o) be the second derivative of o**4/60 - 2*o**3/5 + 18*o**2/5 + 9*o + 260. Solve h(f) = 0.
6
Let u(m) = -42*m**3 + 2069*m**2 - 7900*m - 9989. Let j(a) = -8*a**3 + 414*a**2 - 1580*a - 1998. Let d(n) = -11*j(n) + 2*u(n). Determine o so that d(o) = 0.
-1, 5, 100
Let r(k) = -16*k + 59*k - 984*k**2 + 109*k - 1 - 16*k. Let j(a) = -983*a**2 + 137*a - 2. Let q(z) = 4*j(z) - 3*r(z). Factor q(c).
-5*(14*c - 1)**2
Let q(r) = r**3 - 9*r**2 + 11*r - 21. Let h = -154 - -162. Le