.
-2*k**2*(k + 51)
Let n(d) be the third derivative of -37*d**5/20 - 257*d**4/8 + 83*d**3 - 60*d**2. Let b(a) = -11*a**2 - 77*a + 50. Let p(q) = -21*b(q) + 2*n(q). Factor p(v).
3*(v + 9)*(3*v - 2)
Let a(m) be the first derivative of -5*m**4/12 - 15*m**3/2 + 52*m - 84. Let l(i) be the first derivative of a(i). What is b in l(b) = 0?
-9, 0
Suppose -2*h + n - 2 = -4, -10 = -h - 4*n. Suppose -3546 - 3*z + 3546 - 2*z**h - 2*z**2 = 0. Calculate z.
-3/4, 0
Let c(n) be the third derivative of 0*n**3 + 0*n**4 + 1/2016*n**8 + 1/180*n**6 + 1/252*n**7 + 0 + 0*n + 0*n**5 - 41*n**2. Factor c(q).
q**3*(q + 1)*(q + 4)/6
Let n = -42963 - -42965. Solve 375/7 - 3/7*f**3 + 45/7*f**n - 225/7*f = 0 for f.
5
Determine u so that 4*u + 157*u - 10*u**5 - 959*u**3 + 1018271*u**2 - 1018121*u**2 + 786*u**4 + 147*u - 275*u**3 = 0.
-2/5, 0, 1, 77
Let w be ((-12)/8)/(-9*2/24) - -1. Let v(o) be the first derivative of 1/9*o**w + 2/3*o**2 + 3 + 0*o. Determine t so that v(t) = 0.
-4, 0
Let m = -3682/380295 + 4/1215. Let d = 1868/1565 - m. Let 8/5*y**2 - 8/5*y - 2/5*y**5 + d*y**3 - 4/5*y**4 + 0 = 0. Calculate y.
-2, 0, 1
Let u = -4167 - -6261. Let k = u - 10466/5. Determine c so that -8/5*c**3 + 0*c + k*c**2 + 0 - 12/5*c**4 = 0.
-1, 0, 1/3
Let b = 33 - 82. Let l = -42 - b. Suppose l*s**3 - s**2 - 5*s**3 - s**3 - s**2 = 0. What is s?
0, 2
Let f(t) = -3*t**3 - 57*t**2 + 51*t - 45. Let q(z) = 5*z**3 + 114*z**2 - 111*z + 91. Let v(s) = 11*f(s) + 6*q(s). Find g such that v(g) = 0.
1, 17
Suppose 6*r = 426 - 456. Let x(c) = -5*c**2 + 5. Let u(g) = -2 + 0*g**2 + 4*g**2 - 4*g**2 + 2*g**2. Let n(b) = r*u(b) - 3*x(b). Let n(t) = 0. Calculate t.
-1, 1
Factor 159201 + 1/4*r**2 + 399*r.
(r + 798)**2/4
Let q(m) = m**2 - 777*m - 42223. Let f be q(-51). Let -4/3*r**2 + 0*r + 1/3*r**f - 5/3*r**4 + 8/3*r**3 + 0 = 0. What is r?
0, 1, 2
Suppose 2*o - 32 = -4*z, -18265 = -3*o - 18241. Determine c so that 9/4*c**5 - 13/2*c**3 - 2*c + 0 + 3/4*c**z - 7*c**2 = 0.
-1, -2/3, 0, 2
Let q = 2692/15 + -4409/30. Let t(y) be the second derivative of -q*y**2 + 0 - 1/4*y**5 - 55/12*y**4 - 45*y + 125/6*y**3. Factor t(p).
-5*(p - 1)**2*(p + 13)
Let d(f) be the third derivative of f**6/80 - 5*f**5/2 + 49*f**4/4 + 13*f**2 + 6. Determine c, given that d(c) = 0.
0, 2, 98
Let x = -9604 - -9608. Let s(p) be the second derivative of 0*p**6 - 5/42*p**7 - 5/6*p**3 + 15*p + 0*p**2 + 1/2*p**5 + 0 + 0*p**x. Factor s(j).
-5*j*(j - 1)**2*(j + 1)**2
Let h(t) = 12*t**4 - 75*t**3 + 672*t**2 - 7. Let d(c) = 29*c**4 - 188*c**3 + 1680*c**2 - 17. Let y(f) = 14*d(f) - 34*h(f). What is j in y(j) = 0?
-48, 0, 7
Suppose h + 5*x = -27, -634*h + 630*h = -2*x - 24. Let o(k) be the first derivative of 1/8*k**4 + 39 + 0*k + 0*k**2 + 2/3*k**h. Factor o(t).
t**2*(t + 4)/2
Let s(j) be the second derivative of -1/720*j**6 - j**3 - 1/20*j**5 + 0 + 11*j - 3/4*j**4 + 0*j**2. Let a(i) be the second derivative of s(i). Factor a(r).
-(r + 6)**2/2
Let z = 13 - 11. Suppose 29 = 9*o + z. Factor 7 + 5*h**4 + 8*h**o - 100*h + 33 + 90*h**2 - 43*h**3.
5*(h - 2)**3*(h - 1)
Let b(f) be the first derivative of 2*f**5/25 + 35*f**4/2 + 346*f**3/15 - 35*f**2 - 348*f/5 + 1950. Solve b(y) = 0.
-174, -1, 1
Let b(p) be the first derivative of 2*p**5/5 - 64*p**4 + 7930*p**3/3 + 8450*p**2 + 2418. Factor b(i).
2*i*(i - 65)**2*(i + 2)
Let k(t) be the first derivative of 5*t**4/6 + 52*t**3/9 - 112*t**2/3 - 192*t - 2220. Solve k(z) = 0 for z.
-36/5, -2, 4
Let k be (1 - -1) + (0 - (7 + -9)). Let v be (-2)/(k/((-12)/9)). Let 0*g + v*g**4 + 0*g**3 + 0 - 2/9*g**5 + 0*g**2 = 0. What is g?
0, 3
What is b in 120*b**2 + 364 + 2*b**3 - 377*b + 488*b + 608 + 555*b = 0?
-54, -3
Let y be -1*(2 + 4 - -6). Let l be (3/y)/((-3)/6). Factor -l - 9/2*a**2 - 3*a.
-(3*a + 1)**2/2
Suppose o - 3*w + 6 = 0, 4*o = 13*w - 9*w. Let s(y) be the third derivative of 1/12*y**5 + 0 + 0*y**o + 0*y - 18*y**2 - 5/24*y**4. Factor s(k).
5*k*(k - 1)
Let z(b) = 3*b**2 - 3207*b + 5. Let x(i) = -10*i**2 + 11226*i - 18. Let p(c) = -5*x(c) - 18*z(c). Factor p(a).
-4*a*(a - 399)
Let y(c) be the second derivative of c**9/3780 + c**8/1680 - c**7/315 + c**4/3 + c**2 + 16*c. Let q(d) be the third derivative of y(d). Let q(m) = 0. What is m?
-2, 0, 1
Let l(s) be the first derivative of -s**4/14 + 202*s**3/21 - 94*s**2/7 - 1200*s/7 + 4857. Solve l(f) = 0.
-2, 3, 100
Determine q, given that -q**3 - 164*q - 111*q**2 + 413*q + 1020*q - 4617 + 4*q**3 = 0.
9, 19
Let n(z) = 6*z**2 + 8*z - 1. Let g(c) = -c**2 + c - 1. Let k(d) = -g(d) + n(d). Let a(l) = 35*l**2 + 36*l + 1. Let h(u) = 2*a(u) - 11*k(u). Factor h(i).
-(i + 1)*(7*i - 2)
Let o(z) = -40*z - 143. Let u be o(-13). Let b = u + -375. Factor -1/3*w**b + 2/9 - 5/9*w.
-(w + 2)*(3*w - 1)/9
Let c(l) be the first derivative of -l**4/30 - 8*l**3/5 + 5*l**2 - 88*l + 9. Let m(g) be the first derivative of c(g). Factor m(s).
-2*(s - 1)*(s + 25)/5
Let u be 42/182 - (-697)/1599. Factor -1/9*j**3 + u*j**2 - 11/9*j + 2/3.
-(j - 3)*(j - 2)*(j - 1)/9
Let m = -3083 - -3083. Let i(x) be the third derivative of 1/42*x**4 - 1/21*x**3 + m + 4*x**2 + 0*x - 1/210*x**5. Factor i(a).
-2*(a - 1)**2/7
Determine v so that 11297 + 512 + 10305*v + 4*v**2 - 7*v**2 + 8*v**2 - 1509 = 0.
-2060, -1
Let w(j) be the third derivative of j**5/30 + 3*j**4/2 + 17*j**3/3 - 1758*j**2. Factor w(b).
2*(b + 1)*(b + 17)
Let o(l) = -242*l + 2664. Let f be o(11). Let 146/15*u**3 - 128/15 + 2/15*u**5 + 352/15*u - 344/15*u**f - 28/15*u**4 = 0. What is u?
1, 4
Let l(y) be the third derivative of -y**6/60 - 53*y**5/10 - 105*y**4/4 - 157*y**3/3 - 2*y**2 - 22*y - 1. Solve l(h) = 0 for h.
-157, -1
Let a be (14 + (-360)/25)/(376/(-1175)). Factor a*v**2 - 5/2 - 23/4*v.
(v - 5)*(5*v + 2)/4
Let q(h) be the third derivative of -h**5/360 - 1319*h**4/72 + 2639*h**3/36 - 6227*h**2. Factor q(p).
-(p - 1)*(p + 2639)/6
Let h be (-87 - -86)*((-6)/1 + 1). Factor -27978*u**2 - 2*u**h - 2*u**4 + 12*u**4 + 27986*u**2 - 16*u**3.
-2*u**2*(u - 2)**2*(u - 1)
Let k be ((-12)/10)/((4 + -2)/(-27 + 22)). Factor 16/3 - 8/3*o**2 - 1/6*o**5 + 1/3*o**4 + 4/3*o**k - 8/3*o.
-(o - 2)**3*(o + 2)**2/6
Let k(p) be the third derivative of -p**6/240 + 191*p**5/120 - 125*p**4/16 - 189*p**3/4 + 2*p**2 - 818*p. Factor k(v).
-(v - 189)*(v - 3)*(v + 1)/2
Let -172*y**4 + 139*y**4 - 1824*y + 526 - 1674*y**2 + 501*y**3 - 142 = 0. What is y?
-1, 2/11, 8
Let r = -589 + 603. Suppose 0 = r*a - 6*a. Factor a + 38/3*v**4 + 2/3*v**2 - 4/3*v + 10*v**3 + 14/3*v**5.
2*v*(v + 1)**3*(7*v - 2)/3
Let s(v) be the third derivative of v**5/120 - 67*v**4/48 - 17*v**3/3 - 10*v**2 + 175. Let s(x) = 0. What is x?
-1, 68
Let j(g) be the third derivative of -2/3*g**5 - 56*g + 0 - 75/16*g**4 - 1/48*g**6 + g**2 + 135/2*g**3. Factor j(h).
-5*(h - 2)*(h + 9)**2/2
What is n in 65*n + 41 + 447*n - 1444*n**2 - 57 - 700*n**4 + 1532*n**3 + 116*n**5 = 0?
1/29, 1, 2
Let b(j) be the second derivative of -j**7/42 - j**6/5 + 21*j**5/5 + 94*j**4/3 - 320*j**3 - 2304*j**2 - 276*j. Factor b(g).
-(g - 6)**2*(g + 2)*(g + 8)**2
Let l(d) be the second derivative of -d**7/126 + d**6/3 - 29*d**5/15 - 46*d**4 - 144*d**3 + 1680*d. Let l(q) = 0. Calculate q.
-4, -2, 0, 18
Suppose 6*b + 605 = 605. Let o(s) be the first derivative of 1/6*s**6 + 11/9*s**3 + 13/15*s**5 + 19/12*s**4 + b*s - 6 + 1/3*s**2. Find n, given that o(n) = 0.
-2, -1, -1/3, 0
Let j be ((-6)/(-4))/((-8169)/910 + 9). Suppose 64*y + 2 = j*y. Factor 13*z**3 + 7*z**3 - 3 - 3*z**y - 21*z**3 + 7.
-(z - 1)*(z + 2)**2
Let p(d) be the second derivative of d**6/24 - 11*d**5/2 - 895*d**4/48 - 75*d**3/4 - 9*d + 2. Determine a, given that p(a) = 0.
-1, 0, 90
Let m(r) be the first derivative of r**6/30 + 7*r**5/25 - r**4/2 - 112*r**3/15 - 48*r**2/5 + 1116. Solve m(q) = 0.
-6, -4, -1, 0, 4
Let h(c) be the first derivative of -88 + 7/9*c**3 + 0*c + 1/12*c**4 - 4/3*c**2. Factor h(t).
t*(t - 1)*(t + 8)/3
Let p be (-11 - 21525/(-1575))*1/(-2*2/(-6)). Solve -4/3*i**3 + 0 + 68/3*i**2 - 20*i - 4/3*i**p = 0.
-5, 0, 1, 3
Suppose 31*n - 20 - 73 = 0. Find m such that 6*m + 14*m + 5*m**n - 30*m - 2*m**2 + 7*m**2 = 0.
-2, 0, 1
Suppose 0 = 4*l + 5*w - 441, 2*l - 96 = -5*w + 117. Let r be (-6)/5*(-57)/l. Determine f so that 3*f**4 - 6/5*f**5 - r*f**2 + 0 - 9/5*f**3 + 3/5*f = 0.
-1/2, 0, 1
Suppose 3 = -3*w - 3*d, -3*w - 5 = w + 5*d. Let n be -11*(-1)/121*77/28. Factor -1/8*x**3 - n