e of -1/3*n**3 + 0 + p*n - 1/12*n**4 + 3/2*n**2. Factor c(i).
-(i - 1)*(i + 3)
Let t = 25161 + -176126/7. Factor 6/7 - t*r**3 + 6/7*r**2 - 11/7*r.
-(r - 3)*(r - 2)*(r - 1)/7
Let j(p) be the third derivative of -1/1890*p**7 - 2/27*p**3 + 47*p**2 + 2*p + 1/108*p**5 + 0 + 1/72*p**4 - 1/360*p**6. Let j(y) = 0. Calculate y.
-4, -1, 1
Suppose -11*n - 909*n**4 - 905*n**4 - n**5 + 19*n**2 + 1825*n**4 + 6*n**2 + 3*n - 27*n**3 = 0. What is n?
0, 1, 8
Let o be (12/(-22))/(100 - 59616/594). Determine a, given that -o + 3/4*a**3 + 0*a**2 - 9/4*a = 0.
-1, 2
Let k be (352/72 - 5) + 1 + -2 + 80/72. What is g in k - 125/2*g**3 + 135/2*g**2 + 45/2*g**4 - 5/2*g**5 - 25*g = 0?
0, 1, 2, 5
Let q be ((-3)/5)/((1 - 2/1) + -3). Let p(v) be the first derivative of 34 - 1/2*v**3 + 13/32*v**4 + 0*v - q*v**5 + 1/4*v**2 + 1/48*v**6. Factor p(c).
c*(c - 2)**2*(c - 1)**2/8
Let u be 38/(32832/(-972)) + 27/24. Let 3/7*v**2 + u*v - 27/7 = 0. Calculate v.
-3, 3
Let s be ((-48)/(-18))/((-510)/(-135)). Let j be (-3 - -4)/((-9)/(-4) + -2). Determine i so that -s*i**3 - 8/17 - 2/17*i**j - 24/17*i - 26/17*i**2 = 0.
-2, -1
Let s(h) be the first derivative of 2*h**5/25 + h**4/4 - h**3/5 + 1239. Let s(o) = 0. What is o?
-3, 0, 1/2
Determine j, given that 1/4*j**4 + 117/4*j**2 + 0*j + 59/2*j**3 + 0 = 0.
-117, -1, 0
Let g = 101377 + -1926161/19. Factor 8/19*r + 18/19*r**3 - g*r**4 + 0 - 2/19*r**5 - 22/19*r**2.
-2*r*(r - 1)**3*(r + 4)/19
Let h(s) be the first derivative of 1 - 2/35*s**5 - 6/7*s**3 + 4/7*s**2 + 3/7*s**4 + 0*s. Factor h(f).
-2*f*(f - 4)*(f - 1)**2/7
Factor -8458*o**2 - 5184*o + 21*o**3 + 14478*o**2 - 1257*o + 2974*o**2 - 2574.
3*(o - 1)*(o + 429)*(7*o + 2)
Let i(t) be the third derivative of t**8/1680 + 3*t**7/350 - 13*t**6/600 - t**5/12 + 2*t**4/5 - 2*t**3/3 + 3611*t**2. Determine q, given that i(q) = 0.
-10, -2, 1
Let s = 461 + -162. Suppose -s + 505 - 271 + 255*p + 20*p**2 = 0. Calculate p.
-13, 1/4
Let d(b) be the third derivative of -b**8/3696 + 3*b**7/770 + 7*b**6/440 + b**5/60 - 652*b**2. Factor d(r).
-r**2*(r - 11)*(r + 1)**2/11
Suppose -3*c - 1 + 28 = -2*g, -3*g = 27. Factor 15/2*n**c - 45/4 + 5/4*n**4 - 30*n**2 + 65/2*n.
5*(n - 1)**3*(n + 9)/4
Let c be (-5886)/4905 - (2 - 16). Find l, given that c - 32/5*l + 4/5*l**2 = 0.
4
Let k(a) = -a**3 + 17*a**2 - 16*a + 3. Let p be k(16). What is j in 22*j**4 - 4*j**5 - 12*j**3 - 21*j**4 - 12*j**p - 21*j**4 = 0?
-3, -2, 0
Suppose 15*x + 31*x - 28658 = 0. Let n be 89/x + 20/7. Factor 4/5*a + 0 - 1/5*a**4 - 3/5*a**n + 0*a**2.
-a*(a - 1)*(a + 2)**2/5
Let i(l) be the first derivative of l**5/5 - 123*l**4/4 + 4265*l**3/3 - 28101*l**2/2 - 32490*l + 7783. Factor i(w).
(w - 57)**2*(w - 10)*(w + 1)
Solve -1152*n + 3381*n**2 - 657 - 3384*n**2 - 1189 + 697 = 0.
-383, -1
Let y(z) = z**3 - 3*z**2 + 3. Let h be y(3). Suppose -h = 3*k + 3*w, 0 = 2*k + k + 2*w - 1. Factor -k*c**2 - 4*c**2 + 25*c**3 - 29*c**3 - c**2.
-4*c**2*(c + 2)
Let k(o) be the first derivative of 2*o**3/11 + 60*o**2/11 + 450*o/11 + 616. Factor k(t).
6*(t + 5)*(t + 15)/11
Let d(x) = 22*x**2 + 308*x - 330. Let r = -666 + 664. Let u(o) = 7*o**2 + 103*o - 110. Let k(j) = r*d(j) + 7*u(j). Factor k(t).
5*(t - 1)*(t + 22)
Let b = 155 - 392. Let t be ((-2)/10)/(b/1975). Determine z, given that 25/3 - t*z**2 + 20/3*z = 0.
-1, 5
Let t(k) = k**3 + 18*k**2 + 15*k - 30. Let o be t(-17). Suppose -128 = 25*x - 33*x. Factor x*s**2 - s**4 + s + s + o*s**3 - 21*s**2.
-s*(s - 2)*(s - 1)**2
Let b = 2682280/9 - 298030. Suppose -b*j + 0 + 1/3*j**2 + 1/9*j**3 = 0. Calculate j.
-5, 0, 2
Let y(v) = -5*v - 26. Let j be y(-6). Factor -j*h - 7*h**2 + 4*h**2 + 7*h.
-3*h*(h - 1)
Let v(i) be the third derivative of -i**8/1680 + i**6/360 + 17*i**3/6 - 143*i**2. Let l(b) be the first derivative of v(b). Let l(d) = 0. What is d?
-1, 0, 1
Let c(m) be the second derivative of -17/90*m**5 + 4/27*m**3 - 32*m + 0*m**2 + 0*m**4 - 5/189*m**7 + 0 - 2/15*m**6. Find o, given that c(o) = 0.
-2, -1, 0, 2/5
Factor -2*i**5 + 130061*i**3 - 130013*i**3 + 96*i + 66*i**2 + 8*i**2 + 54*i**2.
-2*i*(i - 6)*(i + 2)**3
Let p(w) be the first derivative of w**5/230 - 5*w**4/138 + w**3/23 + 9*w**2/23 + 12*w - 33. Let q(t) be the first derivative of p(t). Factor q(g).
2*(g - 3)**2*(g + 1)/23
Let h be (3/63)/(4/12). Suppose 51642 = -27*i + 51723. Let -h*f**2 - 1/7*f**i + 0 + 0*f = 0. Calculate f.
-1, 0
Let d(m) be the second derivative of -m**7/420 + 19*m**6/720 - m**5/40 + 13*m**4/6 - m - 8. Let r(s) be the third derivative of d(s). Find h such that r(h) = 0.
1/6, 3
Let b(l) be the third derivative of -l**6/24 - 13*l**5/12 - 25*l**4/3 + 185*l**2 + 5. Factor b(v).
-5*v*(v + 5)*(v + 8)
Let h(f) = 58*f**2 + 38*f - 68. Let d(a) = -63*a**2 - 39*a + 67. Let g(r) = -12*d(r) - 13*h(r). Let g(x) = 0. What is x?
5, 8
Let t(h) = 11*h**4 + 33*h**3 - 74*h**2 - 6. Let b(y) = -35*y**4 - 101*y**3 + 221*y**2 + 19. Let k(x) = -6*b(x) - 19*t(x). Suppose k(o) = 0. Calculate o.
0, 5, 16
Let o(f) be the third derivative of 11*f**2 + 0 - 11/180*f**6 + 13/45*f**5 - 1/126*f**7 + 0*f + 1/3*f**4 + 0*f**3. Factor o(g).
-g*(g - 2)*(g + 6)*(5*g + 2)/3
Let w(h) be the third derivative of h**6/54 + h**5/10 - 109*h**4/108 + 10*h**3/9 + 924*h**2 - h. Factor w(j).
2*(j - 2)*(j + 5)*(10*j - 3)/9
Let x be 10*((-7)/5 + 2). Suppose x*w - 2 = 5*w. Suppose v**w + 10*v - 12*v + 4 - 3*v**2 = 0. What is v?
-2, 1
Let n(w) be the third derivative of 0*w - w**3 - 36*w**2 + 1/120*w**5 + 0 - 1/12*w**4. Factor n(p).
(p - 6)*(p + 2)/2
Let x(h) = h**2 - 5*h - 3. Let b(t) = t + 1. Let s(d) = -4*b(d) + x(d). Let l be s(10). Let -z + 0*z**2 + 4 + z**l + 2*z**2 - 7*z**2 + z**2 = 0. What is z?
-1, 1, 4
Suppose a - 3*c = 6, -2*c + 5*c = -2*a + 3. Suppose -3*z = -j - 1, -a*z = 4*j - 2*z - 9. Factor -317 - 67 + 26 - 90*r - 5*r**j - 47.
-5*(r + 9)**2
Let i(z) be the third derivative of -z**6/420 + 527*z**5/210 + z**4/84 - 527*z**3/21 + 220*z**2 + 2. Let i(x) = 0. Calculate x.
-1, 1, 527
Suppose -14*z + 15*z = 5*y - 297, -183 = -3*y - z. Let p be (-30)/y + (-63)/(-102). Solve 8/17*w - p*w**2 + 10/17 = 0.
-1, 5
Let f(l) be the third derivative of -l**6/300 + l**5/75 + 49*l**4/60 - 98*l**3/15 - l**2 - 1461. Find x, given that f(x) = 0.
-7, 2, 7
Let k(n) be the third derivative of -169*n**8/112 + 104*n**7/7 - 83*n**6/5 - 803*n**5/10 + 257*n**4/8 - 5*n**3 - 1924*n**2. Find t such that k(t) = 0.
-1, 1/13, 2, 5
Let j(v) be the third derivative of -53*v**2 - 1/12*v**4 - 1/60*v**5 + 0*v**3 + 0*v + 0 + 1/60*v**6 + 1/210*v**7. Factor j(k).
k*(k - 1)*(k + 1)*(k + 2)
Determine o so that -22905/4*o**3 - 3/4*o**5 - 4804839 - 1286766*o - 441/4*o**4 - 512031/4*o**2 = 0.
-54, -13
Factor -2*x**2 - 254*x - 13200 - 4357*x + 6*x**2 - 1981*x.
4*(x - 1650)*(x + 2)
Let r(o) be the second derivative of 25*o - 1/12*o**4 + 0*o**2 + 0 + 25/6*o**3. Solve r(s) = 0 for s.
0, 25
Let w(l) be the first derivative of -l**3/6 + 39*l**2/4 - 3059. Determine y so that w(y) = 0.
0, 39
Let q(j) be the third derivative of 5/3*j**4 + 0 + 0*j - 1/15*j**5 + 22/3*j**3 - 113*j**2. Solve q(o) = 0.
-1, 11
Let q(n) = 5*n**2 + n - 7. Let s(v) be the second derivative of -v**4/2 - v**3/3 + 4*v**2 + 5*v + 1. Let h(i) = 4*q(i) + 3*s(i). Find u, given that h(u) = 0.
-1, 2
Let l(t) be the first derivative of 1020*t**2 + 495/4*t**4 - 720*t + 24 + 4*t**5 + 3235/3*t**3. Let l(a) = 0. What is a?
-12, -1, 1/4
Let f(u) be the first derivative of 5*u**2/2 - 48*u + 177. Let d be f(10). Solve 0*j - 2/9*j**4 + 0*j**d - 2/9*j**3 + 0 = 0 for j.
-1, 0
Let x(w) = -3*w**2 - 3898*w + 3541. Let v(a) = -3*a**2 - 3969*a + 3540. Let b(p) = -5*v(p) + 6*x(p). Find k, given that b(k) = 0.
-1182, 1
Let f(n) = 2*n**3 - 23*n**2 + 15*n - 14. Let u be f(11). Factor 155 + 31*o**3 + u*o**3 - 56*o**3 - 5*o - 155*o**2.
5*(o - 31)*(o - 1)*(o + 1)
Suppose 4/3*a - 320 + 4/3*a**2 = 0. Calculate a.
-16, 15
Let t(q) = -2*q**3 + 17*q**2 + 26*q - 141. Let g be t(9). Suppose -4*f = 3*k - 60, -26 = -2*k + 2*f - 0*f. Factor 5*r**2 + 12 - k*r + 4*r**2 - g*r**2.
-(r + 6)*(3*r - 2)
Let k(m) be the first derivative of -2*m**5/35 + 11*m**4/14 - 20*m**3/21 - 886. Factor k(q).
-2*q**2*(q - 10)*(q - 1)/7
Let v(r) be the third derivative of r**7/1680 + r**6/240 - r**4/4 + r**3/2 - 35*r**2. Let i(p) be the second derivative of v(p). Factor i(j).
3*j*(j + 2)/2
Suppose -4*k + 10 = 5*x + k, -3*x 