p. Suppose d(h) = 0. What is h?
2, 3, 17
Let z be 8/(-5)*(-65)/26. What is u in -10 + 25*u**z + 13*u**3 - 32*u**3 + 14*u**3 - 75*u**2 + 65*u = 0?
-2, 1/5, 1
Let 16562/9*y**3 + 32/9 - 968/3*y + 7280*y**2 = 0. What is y?
-4, 2/91
Factor -1/7*h**2 - 11/7*h + 60/7.
-(h - 4)*(h + 15)/7
Let r(m) be the second derivative of 2*m**7/63 - 16*m**6/45 + 22*m**5/15 - 8*m**4/3 + 2*m**3 - 566*m - 1. Find z such that r(z) = 0.
0, 1, 3
Let g(m) be the second derivative of -m**4/6 - 21*m**3 - 62*m**2 - 478*m. Factor g(r).
-2*(r + 1)*(r + 62)
Suppose 0 = 652*a - 676*a. Let z(t) be the second derivative of 1/30*t**4 + a + 0*t**2 + 4/15*t**3 - 6*t. Suppose z(v) = 0. Calculate v.
-4, 0
Suppose -n + 5 = 3*w, 5*n - 2 = w - 9. Suppose 17*l**w + 4*l - 7*l - l**3 - 81 - 60*l = 0. What is l?
-1, 9
Suppose -27038*r**2 - 27041*r**2 - 164*r + 54077*r**2 + 336 = 0. What is r?
-84, 2
Let b(u) be the first derivative of -u**4/6 + 18*u**3 - 729*u**2 + 137*u - 210. Let g(f) be the first derivative of b(f). Suppose g(o) = 0. Calculate o.
27
Let g(f) = -187*f**3 + 370*f**2 - 32*f - 40. Let k(b) = -2060*b**3 + 4070*b**2 - 355*b - 440. Let j(m) = 45*g(m) - 4*k(m). Factor j(y).
-5*(y - 2)*(5*y - 2)*(7*y + 2)
Factor 0 - 1/3*p**3 + 1/3*p - 2*p**2 + 2*p**4.
p*(p - 1)*(p + 1)*(6*p - 1)/3
What is m in -1/3*m**2 + 27 - 80/3*m = 0?
-81, 1
Suppose 269*d + 222*d = 982. Determine f so that -75/4*f**d - 10*f - 1 = 0.
-2/5, -2/15
Let r(l) be the first derivative of -2/5*l**2 + 1/30*l**6 + 3/20*l**4 - 19 + 4/25*l**5 - 4/15*l**3 + 0*l. Factor r(v).
v*(v - 1)*(v + 1)*(v + 2)**2/5
Let o = 108 + -106. Factor -96*s + 46*s**2 + 275 - 42*s**o + 301.
4*(s - 12)**2
Suppose 3*d + 42 = 4*r, 5*d - 5*r - 156 + 206 = 0. What is o in -37/4*o**d - 5*o**3 - 9/2*o + 0 - 1/4*o**4 = 0?
-18, -1, 0
What is t in 1230*t + t**3 - 145*t**2 - 130*t**2 - 1230*t = 0?
0, 275
Let f(d) be the first derivative of 14*d + 38 - 1/3*d**3 + 5/2*d**2. Factor f(j).
-(j - 7)*(j + 2)
Let h(r) be the first derivative of 19/30*r**5 + 3/4*r**4 + 0*r**3 + 0*r**2 + 1/36*r**6 + 0*r - 203. Solve h(f) = 0 for f.
-18, -1, 0
Let m(x) = 3*x**4 - x**3 + x - 1. Let k(p) = -40*p**4 + 4*p**3 - 36*p**2 + 130*p + 14. Let o(j) = -2*k(j) - 28*m(j). Factor o(d).
-4*d*(d - 6)*(d - 3)*(d + 4)
Let h be 59/((-9027)/(-408))*((-33)/44 + (-34)/(-16)). Let 35/3*s**2 + h*s**3 + 28/3*s + 4/3 = 0. What is s?
-2, -1, -2/11
Let p(q) = 12*q - 12. Let w(v) be the third derivative of 0*v + 0 + 0*v**3 + 1/60*v**5 + 1/24*v**4 - 15*v**2. Let i(u) = 2*p(u) - 4*w(u). Factor i(j).
-4*(j - 3)*(j - 2)
Let i(p) be the first derivative of p**7/1680 + 7*p**6/720 + p**5/40 + 2*p**3 - 139. Let o(c) be the third derivative of i(c). Suppose o(z) = 0. Calculate z.
-6, -1, 0
Suppose 0 = -l + 4, -5*b + 16*l + 22 = 14*l. Determine z so that 6*z + 5*z**3 - b*z**3 - 3*z - z + 3*z**3 + 4*z**2 = 0.
-1, 0
Let q be -9*(0 + 2/(-6)). Suppose 5*k - 5*z = 3*k - 1, -z - 1 = -k. Suppose 3*p**2 + 209*p - 5*p**2 - 208*p + 2*p**3 - 3*p**q + k = 0. Calculate p.
-2, -1, 1
Let b(o) be the second derivative of 137*o**5/70 + 365*o**4/7 + 289*o**3/3 - 30*o**2/7 + 1467*o. Suppose b(l) = 0. Calculate l.
-15, -1, 2/137
Let l(q) be the second derivative of -1/4*q**5 + 1 + 0*q**2 - 750*q**3 + 31*q + 25*q**4. Factor l(j).
-5*j*(j - 30)**2
Let j be (((-1)/(-5))/((-288)/(-1080)))/((-18)/(-48)). Factor 5*s + 16/3 - 1/3*s**j.
-(s - 16)*(s + 1)/3
Let a(j) = j**2 + 35*j + 26. Let w(r) = 2*r**2 + 37*r + 25. Let z = 28 + -33. Let b(h) = z*a(h) + 4*w(h). Factor b(c).
3*(c - 10)*(c + 1)
Factor 4/5*j**4 - 24/5*j**2 + 32/5 - 16/5*j + 4/5*j**3.
4*(j - 2)*(j - 1)*(j + 2)**2/5
Let q(u) = 27905*u + 195337. Let y be q(-7). Factor -1/4*p**2 + 1/4*p**4 - y*p + 0 + 2*p**3.
p*(p - 1)*(p + 1)*(p + 8)/4
Let u(a) be the third derivative of 1/3*a**3 - 1/240*a**5 + 0 + 27*a**2 + 0*a + 7/96*a**4. Find c such that u(c) = 0.
-1, 8
Let s(c) = 72*c - 270. Let k be s(4). Find q such that 626 - 451 + 19*q**4 - 44*q**3 + 564*q**2 - k*q**4 - 2525*q + 765*q + 1425 = 0.
2, 20
Let b(x) be the second derivative of x**4/12 - 43*x**3/6 + 176*x**2 - 2582*x. Suppose b(f) = 0. What is f?
11, 32
Suppose -48*z = -50*z + 32. Suppose 4*l - 3*p + p = z, -l = -p - 5. Factor 3*b**2 - 3*b**3 + 0*b - l*b + b**2 - 18 + 4*b**3.
(b - 2)*(b + 3)**2
Let g = -968 + 984. Let p be (3 - 1)*(-69)/(-3680)*g. Factor 3/5*n**2 - 18/5 + p*n.
3*(n - 2)*(n + 3)/5
Let -120224 - 2/13*b**2 - 272*b = 0. Calculate b.
-884
Let b = 20/1407 - -755/1876. Let v(k) be the second derivative of 18*k + 0*k**2 + 0 - b*k**4 + 5/6*k**3. What is m in v(m) = 0?
0, 1
Let g(r) = -22*r**4 - 27*r**3 + 34*r**2 + 5. Let b(k) = 4*k**4 - k**3 - 1. Let y(v) = -5*b(v) - g(v). Factor y(f).
2*f**2*(f - 1)*(f + 17)
Let c be (-2)/6 - (1029 + -1023 - 56/6). Factor 3/2*r**c + 0*r + 0 + 12*r**2.
3*r**2*(r + 8)/2
Let d be 1 - 4*((-8)/(-4) - 34). Let q = -127 + d. Let -1/2*g**3 - 15/2*g + 9/2 + 7/2*g**q = 0. Calculate g.
1, 3
Solve -7*f**2 + 4*f**2 - 40*f**2 + 2*f**5 - 20*f**2 - 17*f**2 - 92*f**3 - 10*f**4 = 0 for f.
-4, -1, 0, 10
Let u(z) be the second derivative of z**4/4 + 193*z**3 - 1161*z**2/2 + 2929*z. Factor u(g).
3*(g - 1)*(g + 387)
Suppose -17*c = -1144 + 1059. Suppose 2*i - c*o = 19, 8*o = 12*o + 12. Solve 0 - 555/4*q**4 - 6*q + 15*q**i + 225/4*q**5 + 93/2*q**3 = 0 for q.
-1/3, 0, 2/5, 2
Let l = 362419 + -362416. Factor -34/3 + 2/3*j - 2/3*j**l + 34/3*j**2.
-2*(j - 17)*(j - 1)*(j + 1)/3
Let s(f) be the second derivative of -5*f**7/28 + 21*f**6/10 + 117*f**5/40 - 14*f**4 + 9*f**3 + 3165*f. Find c, given that s(c) = 0.
-2, 0, 2/5, 1, 9
Let t(a) be the first derivative of 76/45*a**5 + 48 + 288*a**3 + 1377*a**2 + 1/27*a**6 + 31*a**4 + 2916*a. Factor t(u).
2*(u + 2)*(u + 9)**4/9
Find s such that 44*s - 1384*s**3 + 60*s**2 + 80*s + 126*s + 1386*s**3 = 0.
-25, -5, 0
Let p(s) = -4*s**3 + 20*s**2 + 124*s + 84. Let n(d) = 3*d**2 + 1. Let c(b) = 4*n(b) + p(b). Factor c(w).
-4*(w - 11)*(w + 1)*(w + 2)
Suppose 5*z - 4*p + 184 - 204 = 0, 5*p = -z - 25. Factor z + 1/3*m**4 - 1/3*m**5 + 0*m**2 + 0*m + 2/3*m**3.
-m**3*(m - 2)*(m + 1)/3
Let d = -264720 + 264722. Let -25*n**3 - 65/2*n**d + 150*n - 5/2*n**4 - 90 = 0. What is n?
-6, 1
Determine v, given that 2/3*v**3 - 488/3*v + 496/3 + 116/3*v**2 = 0.
-62, 2
Let u(y) = -y**3 + 10*y**2 + 6*y - 8. Let o be u(10). Factor 5*s**2 + 25*s - 113*s**3 + 56*s**3 + 15 + o*s**3.
-5*(s - 3)*(s + 1)**2
Solve 6 - 159*b - 38 - 39 - 21*b**2 - 32 + 19 = 0.
-7, -4/7
Let c be (-72)/(-33) + (-82)/451. Suppose 3*g = 12, -3*g + 17 = -s + c*g. Find p such that -3/5*p**2 + 0 + 0*p - 3/5*p**s = 0.
-1, 0
Let o(q) be the first derivative of q**5/80 - 3*q**4/16 + q**3 - 197*q**2/2 + 241. Let v(x) be the second derivative of o(x). Solve v(w) = 0 for w.
2, 4
Let x = 70355 + -211010/3. Solve -25/6*u**2 + 0 + 35/3*u - x*u**3 - 5/2*u**4 = 0.
-7, -1, 0, 2/3
Let k(n) be the second derivative of -n**4/3 - 10*n**3 + 68*n**2 + 8*n + 11. Factor k(a).
-4*(a - 2)*(a + 17)
Let k(q) be the first derivative of -q**4/6 + 128*q**3/9 - 1045*q**2/3 + 3388*q + 1955. Factor k(z).
-2*(z - 42)*(z - 11)**2/3
Let v(a) be the second derivative of -a - 1/9*a**4 - 5 + 0*a**3 + 6*a**2. Let v(r) = 0. What is r?
-3, 3
Let v(w) be the first derivative of -2*w**3/21 + 804*w**2/7 - 323208*w/7 - 2406. Find u, given that v(u) = 0.
402
Find i such that 340/3*i - 25*i**2 + 5/3*i**3 - 160 = 0.
3, 4, 8
Let r(g) be the first derivative of 0*g**3 + 23 - 2*g + 0*g**2 + 1/6*g**4. Let m(i) be the first derivative of r(i). Solve m(u) = 0.
0
Let k(j) be the first derivative of 8/3*j**3 + 1/3*j**4 - 63 + 32/3*j - 10*j**2. Factor k(m).
4*(m - 1)**2*(m + 8)/3
Suppose -63*n = 4*n - 6*n + 14*n. Find h, given that n + 2/3*h**4 + 6*h - 6*h**2 - 2/3*h**3 = 0.
-3, 0, 1, 3
Factor 673*x**2 + 5/3*x**3 + 67872*x - 40804/3.
(x + 202)**2*(5*x - 1)/3
Let l(b) be the third derivative of 1/3192*b**8 - 1/1995*b**7 - 5/114*b**4 + 40*b**2 + 0 + 0*b - 1/76*b**6 - 23/570*b**5 + 0*b**3. Let l(f) = 0. Calculate f.
-2, -1, 0, 5
Factor -1616 + 144*k**2 + 1208 + 307*k**3 - 150*k**3 + 260*k - 153*k**3.
4*(k - 1)*(k + 3)*(k + 34)
Let s be 2119/(-652) + 21/4. Find m, given that -8/5*m + 2/5*m**s + 8/5 = 0.
2
Let z(w) = 7*w**5 - 2*w**4 + 9*w**3 - 3*w. Let t(y) = -9*y**5 + y**4 - 10*y**3 + 4*y. Let q(o) = 3*t(o) + 4*z(o). Let q(m) = 0. Calculate m.
0, 2, 3
Let h = -79 - -81. Suppose 3*m