 is z in v(z) = 0?
-1, 1, 4
Let v = -42 + 46. Factor -14*f + 19*f - 14*f**2 + v*f**3 + 9*f - 4.
2*(f - 2)*(f - 1)*(2*f - 1)
Let r(p) = -2 - 3*p**3 + 6*p**3 + 96*p - 97*p. Let y(t) = -13*t**3 + 4*t + 9. Let o(c) = 9*r(c) + 2*y(c). Solve o(u) = 0 for u.
-1, 0, 1
Let v(j) be the third derivative of j**7/504 + j**6/144 - j**5/2 + 5*j**4/12 + j**2 - 6*j. Let p(w) be the second derivative of v(w). Factor p(g).
5*(g - 3)*(g + 4)
Let i be 384/(-512)*(-16)/3. Let m be (i/((-1600)/(-60)))/(1/55). Factor m*s**2 - 3*s + 3/4*s**4 + 3/4*s**5 - 27/4*s**3 + 0.
3*s*(s - 1)**3*(s + 4)/4
Let n(y) be the second derivative of 1/40*y**5 - 1 - 1/6*y**3 - 1/24*y**4 - 27*y + 0*y**2. What is z in n(z) = 0?
-1, 0, 2
Let i(o) = -14*o**4 + 75*o**3 + 183*o**2 + 121*o + 45. Let p(m) = 3*m**4 - 18*m**3 - 44*m**2 - 30*m - 11. Let d(q) = 2*i(q) + 9*p(q). Let d(t) = 0. What is t?
-9, -1
Let c(m) be the third derivative of m**7/105 + m**6/15 + m**5/5 + m**4/3 + m**3/3 + 8792*m**2. Factor c(o).
2*(o + 1)**4
Let i(h) be the first derivative of -2*h**5/15 - 139*h**4/6 - 1376*h**3 - 25344*h**2 + 368640*h - 1736. Find f, given that i(f) = 0.
-48, 5
Let c(j) be the third derivative of -1/336*j**8 + 0*j**3 + 1/10*j**6 + 82*j**2 + 0 - 1/21*j**7 + 1/6*j**5 + 0*j - 11/24*j**4. Let c(z) = 0. Calculate z.
-11, -1, 0, 1
What is u in 304/11 - 14*u**2 - 2/11*u**3 - 148/11*u = 0?
-76, -2, 1
Let c(h) be the first derivative of -2*h**5/115 + h**4/23 + 14*h**3/69 + 4*h**2/23 + 2678. Factor c(p).
-2*p*(p - 4)*(p + 1)**2/23
Let q(x) be the first derivative of -59 + 96*x**3 + 256*x**2 + 4/5*x**5 + 320*x + 16*x**4. Factor q(p).
4*(p + 2)**3*(p + 10)
Let -228/11*y**3 + 464/11 + 2/11*y**4 - 466/11*y**2 + 228/11*y = 0. What is y?
-2, -1, 1, 116
Let p(s) = 4*s**2 + 6*s - 6. Let b(x) = -x**2 - 1. Suppose 15 = 4*y + 7. Suppose 2*i = 2*g + 6, 4*g = y*i + 3*g - 2. Let a(k) = i*p(k) + 4*b(k). Factor a(r).
-2*(r + 1)*(4*r - 1)
Let j = 78 + -72. Suppose -2*a - 2*a = -j*a. Factor 8*c**3 - 3*c**4 + 8*c + a + 4*c**4 + c**4 + 2 + 12*c**2.
2*(c + 1)**4
Let a(h) be the third derivative of h**6/30 - 14*h**5/15 - 77*h**4/6 + 60*h**3 + 6*h**2 + 99. Factor a(n).
4*(n - 18)*(n - 1)*(n + 5)
Determine l, given that -4/3*l**3 + 3980/3*l + 1984/3*l**2 + 664 = 0.
-1, 498
Let n(f) be the second derivative of -f**7/42 - 13*f**6/30 - 27*f**5/10 - 47*f**4/6 - 73*f**3/6 - 21*f**2/2 + 11*f + 22. Solve n(t) = 0.
-7, -3, -1
Suppose -326*k**2 + 53138*k + 1/2*k**3 + 0 = 0. What is k?
0, 326
Let n(x) be the second derivative of x**6/10 - 27*x**5/5 + 93*x**4 - 320*x**3 - 4608*x**2 + 2334*x. Suppose n(b) = 0. Calculate b.
-2, 6, 16
Let z(i) = -2*i**3 - 13*i**2 - 4*i + 14. Let n be z(-6). Factor l**5 - n*l**4 - 7*l**4 - 53*l**2 + 22*l**3 + 97*l**2 - 44*l**2 - 32*l.
l*(l - 4)**2*(l - 2)*(l + 1)
Let a be (-2)/((-720)/633) + 10/(-15). Let l = a - -13/120. Factor 8/5*v**2 + 0*v - l*v**4 + 0*v**3 + 2/5*v**5 + 0.
2*v**2*(v - 2)**2*(v + 1)/5
Let m = 21940 - 65810/3. Let w(l) be the second derivative of 0 + m*l**3 + 11*l + 15/2*l**2 + 5/12*l**4. Determine z, given that w(z) = 0.
-3, -1
Let l(q) = 19*q**3 + 68*q**2 + 25*q - 1. Let j(z) = -z**3 + z - 1. Let c = -3 + 20. Suppose -c*b + 12*b - 5 = 0. Let t(p) = b*l(p) + j(p). Factor t(r).
-4*r*(r + 3)*(5*r + 2)
Let l be 48/(-48) + -3*1/(-3). Suppose l = 127*w - 171*w. Factor 12/7*f**2 + w - 3/7*f**3 + 12/7*f - 3/7*f**4.
-3*f*(f - 2)*(f + 1)*(f + 2)/7
Let v = 699 - 696. Suppose 6*a**3 - 69*a**2 - 678*a - 546*a - 4*a**3 - 3*a**v - 1156 = 0. What is a?
-34, -1
Let h(i) = 14*i**2 + 62*i + 98. Let d(t) = -6*t**2 - 30*t - 48. Let r(s) = 5*d(s) + 2*h(s). Factor r(b).
-2*(b + 2)*(b + 11)
Let h = 3853 - 3837. Let f(n) be the third derivative of 0 - 5/12*n**4 - h*n**2 - 2/15*n**5 - 1/60*n**6 - 2/3*n**3 + 0*n. Factor f(p).
-2*(p + 1)**2*(p + 2)
Let c(i) be the first derivative of -1/2*i**2 - 99 + 1/4*i**4 + 7/3*i**3 - 7*i. Factor c(w).
(w - 1)*(w + 1)*(w + 7)
Let v be (-136)/374 + 296/88. Let g(r) be the first derivative of 3 - 1/28*r**4 - 5/21*r**v + 8/7*r - 1/7*r**2. Factor g(t).
-(t - 1)*(t + 2)*(t + 4)/7
Find v, given that -7169*v - 12996 + v**3 - 5371*v - 3*v**3 + 452*v**2 - 2*v**3 = 0.
-1, 57
Factor -34*y**3 - 216*y**2 + 448 - 12*y**3 + 23*y**3 - 3*y**3 + 16*y**3 - 1032*y.
-2*(y + 8)*(y + 14)*(5*y - 2)
Let g(z) be the second derivative of z**4/30 + 18*z**3/5 + 136*z**2 - 2737*z. Suppose g(w) = 0. What is w?
-34, -20
Factor -2*f**2 + 0*f**2 - 124445*f + 39 - 171 + 124411*f.
-2*(f + 6)*(f + 11)
Let z = 1853 - 1119. Find j, given that -2349*j + 165*j**2 + z*j**3 - 237 - 737*j**3 + 2424 = 0.
1, 27
Let h(j) = 23*j**2 - 132*j + 726. Let t(u) be the first derivative of 8*u**3/3 - 22*u**2 + 242*u + 102. Let o(l) = -6*h(l) + 17*t(l). Let o(k) = 0. Calculate k.
11
Let i(l) be the third derivative of 7/6*l**4 - 1/15*l**5 + 0 + 36*l**2 + 0*l + 0*l**3. What is w in i(w) = 0?
0, 7
Let j be 61206/(-24)*(-2 - 22). Factor 2*y**3 + 606*y**2 - j*y + 2110371 + 3*y**3 - 7*y**3 - 49769.
-2*(y - 101)**3
Factor 1565*f - 4*f**2 - 604*f + 0*f**2 - 103165 - 50499 + 607*f.
-4*(f - 196)**2
Suppose -5*z - 2*w + 5 - 3 = 0, 0 = -5*w + 5. Suppose 45*y + 0 - 225 = z. Suppose 0*g**2 - 2*g**3 - 1/2*g**y - 2*g**4 + 0*g + 0 = 0. What is g?
-2, 0
Let b(g) be the second derivative of -g**8/504 + 4*g**7/315 - g**6/45 - 38*g**2 - 21*g. Let s(p) be the first derivative of b(p). Factor s(y).
-2*y**3*(y - 2)**2/3
Let k(h) be the third derivative of 411*h**5/40 - 5*h**4/16 + 5*h**2 + 4*h - 9. Solve k(j) = 0.
0, 5/411
Let f(q) = -q**3 + 2*q + 1. Let p(h) = 76*h**2 - 773 + 41*h**2 - 24*h**2 + 3*h**3 - h**3 - 682*h. Let m(w) = 5*f(w) + p(w). Let m(o) = 0. Calculate o.
-1, 16
Suppose 4*o - 3*y = 26, -y + 4 = 2*o + 2*y. Suppose -r = -3, 3*h - r = -h - 3. Find i, given that 0*i**2 - 2/3*i**4 + h*i + 1/3*i**3 + 1/3*i**o + 0 = 0.
0, 1
Suppose 0*m + m - 124985 = 2*c, m - 124989 = 4*c. Determine p, given that 4*p**5 - 124981*p + m*p + 36*p**4 - 144*p**3 = 0.
-12, 0, 3
Let k(z) be the second derivative of -z**6/10 + 9*z**5/5 - 39*z**4/4 + 4*z**3 + 90*z**2 - 4430*z. Suppose k(w) = 0. What is w?
-1, 2, 5, 6
Let j(p) be the second derivative of -p**5/20 + p**4 - 7*p**3/3 + 35*p**2/2 - 29*p. Let a be j(11). Let 15 + 35*l**2 - 30*l**a + 25 + 30*l = 0. Calculate l.
-4, -2
Let l(x) be the third derivative of 7*x**7/10 + 138929*x**6/20 + 393982789*x**5/20 + 56266245*x**4/2 + 16074450*x**3 - 4*x**2 + 12*x + 25. Factor l(i).
3*(i + 2835)**2*(7*i + 2)**2
Let f be 42/(-9)*(-24)/56. Suppose f*v + j - 4 = -2*j, -v = -4*j - 2. Factor 0*h**v + 0*h + 7/3*h**4 + 0 - 5/3*h**5 - 2/3*h**3.
-h**3*(h - 1)*(5*h - 2)/3
Let y = -1342 - -1345. Let x = 16 + -11. Factor -x*d**5 - 5*d**y - 2421*d + 2421*d - 10*d**4.
-5*d**3*(d + 1)**2
What is w in -24*w - 4*w**5 - 9*w + 10*w - 45*w - 28*w + 32*w**4 - 152*w**2 - 20*w**3 = 0?
-1, 0, 4, 6
Suppose 12*b = 1960 + 512. Suppose 2*u - v - 73 = 64, -3*u + b = -v. Suppose 2*w**2 - w**2 - 9*w + 2*w**2 + u - 63 = 0. Calculate w.
1, 2
Let s(x) be the first derivative of 1/48*x**4 + 0*x - 1/160*x**5 - 4*x**2 - 1/48*x**3 + 11. Let w(t) be the second derivative of s(t). Solve w(j) = 0 for j.
1/3, 1
Suppose 53*y = -54*y + 73*y + 136. Find t such that -1/6*t**y + 1/3 + 1/2*t**2 - 5/6*t + 1/6*t**3 = 0.
-2, 1
Suppose -2*p = -3*j - 2, 129 = 3*j + 4*p + 125. Determine x, given that -15/4*x**4 + 3*x - 12*x**2 + j + 51/4*x**3 = 0.
0, 2/5, 1, 2
Let m(a) = -17*a - 147. Let g be m(13). Let p = g - -368. Suppose -2/9*x**2 + 4/9*x + p = 0. What is x?
0, 2
Let n(r) be the third derivative of r**6/360 + 25*r**5/18 - 503*r**4/72 + 14*r**3 - 47*r**2 - 86*r. Factor n(h).
(h - 1)**2*(h + 252)/3
Let w(n) be the first derivative of -n**7/2940 + n**6/630 - n**5/420 + 106*n**3/3 - 102. Let p(m) be the third derivative of w(m). Factor p(x).
-2*x*(x - 1)**2/7
Find h such that -178*h + 141*h**2 + 164 + 508*h + 27*h**2 + 60*h**3 - 58*h**3 = 0.
-82, -1
Let z = -164 + 167. Suppose 21 + 35 = 2*r. Solve -91*u**2 + 5*u**4 + 40*u + 151*u**2 + r*u**z + 2*u**3 = 0.
-2, 0
Let i(p) be the second derivative of p**7/12600 + p**6/100 + 27*p**5/50 - 15*p**4/2 - p**2/2 + 9*p + 7. Let q(v) be the third derivative of i(v). Factor q(r).
(r + 18)**2/5
What is l in 1132*l + 834 - 2*l**2 - 19*l**2 + 1781*l = 0?
-2/7, 139
Let x(j) = -13*j**4 - 8*j**3 + 15*j**2 + 35*j + 16. Let q(o) = 3*o**4 - o**2 - o. 