**7/189 + 94*q**6/135 - 1024*q**5/135 - 7480*q**4/27 - 3872*q**3/9 + 7*q**2 - 19*q + 3. Let z(v) = 0. Calculate v.
-6, -2/5, 22
Let q(r) = -r**4 + r**2 + r - 1. Let v(p) = 45*p**5 - 36*p**4 - 10*p**3 + p**2 + p - 1. Let d = -206 - -205. Let y(t) = d*q(t) + v(t). Let y(z) = 0. What is z?
-2/9, 0, 1
Let i(v) be the third derivative of 30*v**3 + 0 + 5/6*v**5 + 55/8*v**4 + 1/24*v**6 + 28*v**2 + 0*v. What is z in i(z) = 0?
-4, -3
Let g(a) be the third derivative of a**5/20 - 3*a**4/4 - 27*a**3/2 - 436*a**2. Factor g(v).
3*(v - 9)*(v + 3)
Let -361*b - 26 - 497*b + b**2 + 883*b = 0. Calculate b.
-26, 1
Let b(r) be the second derivative of -r**7/280 + r**5/10 - 2*r**3 + 9*r**2 - 2*r + 42. Let q(s) be the first derivative of b(s). Solve q(y) = 0 for y.
-2, 2
Suppose f + 2*o = 6*o + 34, 2*f = -2*o + 18. Let v be (-40)/f*12/(-45). Suppose -2/21*l**4 - v*l**3 - 26/21*l**2 - 4/7*l + 0 = 0. Calculate l.
-6, -1, 0
Let w(p) = -p**2 + 31*p + 7774. Let m be w(-74). Determine r so that -2/5*r**2 + 3/5*r**m - 1/5*r**5 - 1/5 - 2/5*r**3 + 3/5*r = 0.
-1, 1
Suppose -71 = -38*c + 119. Suppose -2*p - p + 15 = 0. Find f such that p*f**3 - 11*f**2 - c*f + 6*f**3 + f**2 - 16*f**3 = 0.
-1, 0
Let k(j) = -25*j**2 - 156*j - 131. Let b be k(-1). Let -5/6*r - 1/6*r**4 + b + 5/6*r**3 + 1/6*r**2 = 0. Calculate r.
-1, 0, 1, 5
Let c(i) be the first derivative of 54*i + 6*i**2 + 2/9*i**3 - 93. Find r, given that c(r) = 0.
-9
Let v(d) be the second derivative of -1/60*d**5 + 0*d**2 - 1/24*d**4 - 1/360*d**6 - 2/3*d**3 + 0 + 4*d. Let n(u) be the second derivative of v(u). Factor n(a).
-(a + 1)**2
Let g(a) be the second derivative of -7*a**5/60 - 895*a**4/18 - 1273*a**3/18 + 85*a**2 - 89*a. Let g(p) = 0. What is p?
-255, -1, 2/7
Let v = 158220 + -1265757/8. Let -27/8*h + 33/4 - v*h**2 = 0. What is h?
-11, 2
Let m(n) be the first derivative of 2*n**5/55 - 4*n**4/11 + 14*n**3/11 - 18*n**2/11 + 411. Suppose m(c) = 0. Calculate c.
0, 2, 3
Suppose 395*g + 128*g + 112483 - 289257 = 0. Determine x so that 52/3*x + 2/9*x**2 + g = 0.
-39
Let j = -5932 - -5964. Suppose 2*h - 3*b + 4*b = 57, -5 = -5*b. Factor j*m - 52*m + 24 - 2*m**2 + h*m.
-2*(m - 6)*(m + 2)
Let k(q) be the third derivative of 1/105*q**7 - 1/72*q**6 + 0*q + 3 + 0*q**3 + 0*q**4 - 4*q**2 - 1/1008*q**8 + 0*q**5. Solve k(f) = 0 for f.
0, 1, 5
Let d = -34 + 44. Suppose 2*w = 10, -10 - d = -2*g - 2*w. Factor -11*m**5 + 27*m**5 - 17*m**g + m**4.
-m**4*(m - 1)
Let n(u) be the third derivative of -u**5/60 - u**4/8 + 4*u**2 + 14. Let b(a) = 4*a**2 + 10*a. Let f be (7/21)/(1/6). Let h(d) = f*b(d) + 7*n(d). Factor h(y).
y*(y - 1)
Let i(p) be the third derivative of -1 + 1/60*p**5 + 3*p**3 + 11/24*p**4 + 0*p - 140*p**2. Solve i(o) = 0.
-9, -2
Suppose -2*c - 4*o + 11 = -7*c, -3*o = 3*c - 15. Let j be 117/297 - c/(-3). Factor 8/11 - 2/11*i**2 + 2/11*i**3 - j*i.
2*(i - 2)*(i - 1)*(i + 2)/11
Suppose 6*v = -99*v + 39*v. Find g, given that -2/11*g**2 + 2/11*g + v - 2/11*g**3 + 2/11*g**4 = 0.
-1, 0, 1
Let r(x) be the third derivative of -x**6/120 - x**5/40 + x**4/4 - 21*x**3/2 - 66*x**2. Let f(b) be the first derivative of r(b). Factor f(c).
-3*(c - 1)*(c + 2)
Suppose -67*s**3 + s**2 + 35*s**2 + 4*s**2 - 60*s**3 + 45 + 117*s**3 + 90*s - 5*s**4 = 0. Calculate s.
-3, -1, 3
Solve -4/9*m + 2/9*m**2 - 32/3 = 0 for m.
-6, 8
Find k such that -57/2 + 29*k - 1/2*k**2 = 0.
1, 57
Let a(r) be the third derivative of 31/36*r**4 - 12 + 32/9*r**3 - 1/90*r**5 + 0*r - r**2. Factor a(p).
-2*(p - 32)*(p + 1)/3
Let s be ((-110)/(-35) - (-1)/(-7)) + 749. Determine g, given that -56*g + g**3 - 1511 + 791 - 5*g**3 + 28*g**2 + s = 0.
1, 2, 4
Let l(j) be the third derivative of 19/330*j**5 + 0*j + 1/77*j**7 - j**2 + 8/165*j**6 + 33 + 0*j**3 + 1/66*j**4. Factor l(f).
2*f*(f + 1)**2*(15*f + 2)/11
Let r(f) be the second derivative of f**4/16 - 65*f**3/8 - 219*f**2 - f - 1634. Solve r(v) = 0.
-8, 73
Let j(h) be the third derivative of h**5/15 - 107*h**4/2 + 640*h**3/3 - 124*h**2 - 1. Solve j(y) = 0 for y.
1, 320
Factor -3/2*h**2 + 687/2*h + 1044.
-3*(h - 232)*(h + 3)/2
Let m be 26/7 - (-1920)/(-1120). Let w(y) be the first derivative of 6 + 3*y**m + y**6 - 3*y**4 + 4*y + 4/5*y**5 - 8/3*y**3. Let w(x) = 0. What is x?
-1, -2/3, 1
Let d = 369709 + -369197. Factor -1/2*o**2 - d + 32*o.
-(o - 32)**2/2
Let o be 1584/64 + -1 + 10/8. Suppose -4*l = -5*y + 4*y + o, -l = 3*y - 36. Find f such that f**2 - 14 + 2*f**2 + y*f + 23*f + 122 = 0.
-6
Let t(v) = 6*v - 111. Let l be t(19). Find m such that 12 - 111*m**l + 42 - 2838*m - 93*m**2 + 3009*m - 21*m**4 = 0.
-3, -2/7, 1
Let r(w) be the first derivative of 33/4*w**2 - 3/2*w + 15/16*w**4 - 324 - 41/8*w**3. Factor r(o).
3*(o - 2)**2*(10*o - 1)/8
Suppose 0 = -4*a - p - 224, -104*a + 107*a - 3*p + 168 = 0. Let q be 7/a + (-5)/(-120)*39. Let 3 - 6*z + q*z**3 - 3/4*z**4 + 9/4*z**2 = 0. Calculate z.
-2, 1, 2
Let d(b) be the third derivative of -b**7/210 - 4*b**6/9 + 3*b**5/5 - 4*b**2 - 13*b. Factor d(o).
-o**2*(o + 54)*(3*o - 2)/3
Suppose 0 = 2*x + 2*x + 260. Let q be (18/15)/3 - x/25. Factor -l**2 - 16 - q*l**2 + 15*l + l.
-4*(l - 2)**2
Let o(s) be the second derivative of -s**4/6 + 14*s**3/3 + 851*s**2 + 1712*s - 2. Find y, given that o(y) = 0.
-23, 37
Let t = -213 + 215. Let 2608*c**t + 4*c**4 + 4*c**5 + 4*c**4 - 2616*c**2 - 4*c**3 = 0. What is c?
-2, -1, 0, 1
Let q(v) be the first derivative of -3*v**4/20 - 78*v**3/5 - 2592*v**2/5 - 23328*v/5 + 524. Factor q(a).
-3*(a + 6)*(a + 36)**2/5
Let b(t) = 4*t**3 - 10*t**2 + 11*t. Let k(d) = 0*d**3 - d**3 + 2*d**3 + 0*d**3. Let r(s) = 2*b(s) - 10*k(s). Find l such that r(l) = 0.
-11, 0, 1
Solve 399/4*y**4 + 27/4*y**5 + 3669/4*y**2 + 1989/4*y**3 - 135 + 378*y = 0.
-6, -5, -3, -1, 2/9
Suppose 50 + 500 = 10*s. Suppose 0 = 16*p - s*p + 156. Factor 0*n**2 + 0*n + 2/7*n**p + 0 + 6/7*n**3.
2*n**3*(n + 3)/7
Determine m, given that -21*m - 1687*m**2 + 845*m**2 - m + 843*m**2 = 0.
0, 22
Let u be (-1073)/(-333) - (-2)/(-9). Factor 8 - 78*m**3 - 69*m**u + 143*m**3 + 12*m.
-4*(m - 2)*(m + 1)**2
Let b(j) = 5*j**5 - 40*j**4 - 50*j**3 + 1720*j**2 - 45*j - 1620. Let u(w) = w**4 - 3*w**3 + w**2. Let x(s) = b(s) - 30*u(s). Let x(t) = 0. Calculate t.
-4, -1, 1, 9
Suppose -s = 3*s. Let k be -1 + 5/(s - -1). Let 6 - 1 + 3*y**2 + 0*y**2 - 4*y**2 - k*y = 0. Calculate y.
-5, 1
Suppose 55 = -16*o - 8*o + 151. Let k(u) be the second derivative of 0 - 1/10*u**2 - 1/20*u**o + 2/15*u**3 - 39*u. Factor k(d).
-(d - 1)*(3*d - 1)/5
Factor 141 + 63 - 43*p**2 + 698*p - 2*p**2 - 35*p**3 - 4 - 8*p.
-5*(p - 4)*(p + 5)*(7*p + 2)
Let s(n) = -26*n**4 + 7910*n**3. Let w(r) = 5*r**4 + 17*r**3. Let a(d) = s(d) + 6*w(d). Determine p so that a(p) = 0.
-2003, 0
Let b(r) = 3*r**2 + 74*r + 59. Let y be b(-24). Suppose -2*f = -y*t + 6*t - 18, -2*f = t - 6. Factor -3 - 9*m**f - 24*m**2 + 3/2*m**5 + 21*m**3 + 27/2*m.
3*(m - 2)*(m - 1)**4/2
Let j(h) be the second derivative of -h**8/1680 + h**7/45 + h**6/12 + h**4/3 - 9*h**2 + h - 9. Let m(q) be the third derivative of j(q). Factor m(a).
-4*a*(a - 15)*(a + 1)
Suppose -6*f = 3*f - 81. Factor v - f*v + 9*v**2 - 11*v**2.
-2*v*(v + 4)
Factor 6/7*o - 3/7*o**4 + 0 - 3/7*o**5 + 15/7*o**2 + 9/7*o**3.
-3*o*(o - 2)*(o + 1)**3/7
Suppose 244*u + 252*u = 158*u - 498*u + 1672. Factor -14/3*o**u + 56/3 - 64*o.
-2*(o + 14)*(7*o - 2)/3
Let k(h) be the third derivative of h**7/4200 + 3*h**6/200 - 13*h**4/12 - h**3/3 + 88*h**2. Let c(l) be the second derivative of k(l). Factor c(u).
3*u*(u + 18)/5
Solve 1/7*w**3 + 180/7 - 72/7*w + 1/7*w**2 = 0 for w.
-10, 3, 6
Let f = 11527/369 + 54/41. Let j = -292/9 + f. Factor -j - 1/9*p**3 + 1/9*p**2 + 1/9*p.
-(p - 1)**2*(p + 1)/9
Let x(m) be the first derivative of -m**3/3 - 499*m**2 - 249001*m + 665. Solve x(f) = 0 for f.
-499
Let v(r) be the second derivative of -r**7/126 - 7*r**6/45 - r**5 - 2*r**4 + 1652*r. Factor v(d).
-d**2*(d + 2)*(d + 6)**2/3
Let w = 11 - 8. Suppose 5*t = -4*d + 10, 5*d + 10 = -w*t + 8*t. Factor 2/19*a**t + 6/19 + 8/19*a.
2*(a + 1)*(a + 3)/19
Let r(j) = -j**3 - 63*j**2 - 177*j + 180. Let q be r(-60). Let y be (-98)/(-21)*6/7. Let 4/5*x**3 + 0 + 0*x + 1/5*x**5 + q*x**2 - 4/5*x**y = 0. Calculate x.
0, 2
What is o in -1205*o**2 - 576*o - 22451*o + 44133 + 179127 - 47733*o - 5*o**3 = 0?
-122, 3
Let a(f) be the second derivative of f**7/42 - 7*f**6/30 + 3*f**5