 = 4*p. Factor 60/7*h - 72/7*h**4 - 184/7*h**2 + 192/7*h**3 + p + 4/7*h**5.
4*h*(h - 15)*(h - 1)**3/7
Factor -271 - 3*u**2 + 0*u + 0 - 80 - 126*u.
-3*(u + 3)*(u + 39)
Let x(w) be the third derivative of -1/1890*w**7 - 1/540*w**6 + 0 + 0*w + 1/108*w**4 + 1/540*w**5 + w**2 + 0*w**3. Factor x(v).
-v*(v - 1)*(v + 1)*(v + 2)/9
Let b be (-33)/(-242) + (-55401)/(-48202). Let 0 + 3/7*z + 3/7*z**4 + b*z**2 + 9/7*z**3 = 0. What is z?
-1, 0
Let f(o) = o**2 + 28*o + 21. Let t be f(23). Let j = 2389/2 - t. Factor 7/2*p - j*p**2 + 0.
-p*(p - 7)/2
Let k be 1/(-2) + (-117)/(-26). Suppose -2*j - o = 2*o - k, 2*j - 4 = -4*o. Factor 4*m**2 + m**3 - m**4 + 2*m**3 + 0*m**4 - m**5 + 2*m + m**j.
-m*(m - 2)*(m + 1)**3
Let v(a) = 22*a + 1654. Let w be v(-75). Let k(m) be the first derivative of -22 + 0*m + 2/9*m**3 - 2/3*m**2 + 1/2*m**w. Find f, given that k(f) = 0.
-1, 0, 2/3
Find s, given that -144/5*s + 0 - 74/5*s**4 + 236/5*s**3 + 6/5*s**5 - 24/5*s**2 = 0.
-2/3, 0, 1, 6
Let t be ((-140)/30 - -7)/((-1)/3). Let m be t/((-462)/12) - 0. Let 4/11 - 2/11*x - m*x**2 = 0. Calculate x.
-2, 1
Let s be (-15139)/(-6760) + 9/72. Let y = s + 6/169. Solve -8/5 + 8/5*n - 18/5*n**4 - y*n**3 + 22/5*n**2 = 0 for n.
-1, 2/3
Let h be 1 + (-24)/(-10)*(-30)/(-12). Solve -4*c**3 - 9*c**4 + h*c**3 - 6*c**3 + 9*c**2 - 13*c**5 + 10*c**5 + 6*c = 0.
-2, -1, 0, 1
Suppose -12*q - 44 = -284. Solve 50 + 123*b + 11*b**2 + 3*b**2 - 2*b**2 - q = 0.
-10, -1/4
Let w = 143 - 138. Let q(i) = -2*i**2 + 22*i + 16. Let h(b) = -3*b**2 + 22*b + 15. Let k(a) = w*q(a) - 4*h(a). Find c, given that k(c) = 0.
-10, -1
Let a be 99/21 + (-2)/(-7). Suppose -2 = g - c - 14, -a*g + 36 = c. Solve -n**2 - 10*n + g*n**3 + 2*n + 11*n**4 + 6 - 3*n**2 - 13*n**4 = 0 for n.
-1, 1, 3
Let k(x) be the second derivative of -3*x**5/70 - 8*x**4/7 - 5*x**3 + 156*x**2/7 - 260*x + 1. Factor k(s).
-6*(s - 1)*(s + 4)*(s + 13)/7
Let k be -8 + (14 - (-270)/(-35)) + 2. Suppose 2 - 16/7*o + k*o**2 = 0. What is o?
1, 7
Suppose h + 8*j = 4*j + 40, h + j - 25 = 0. Suppose -h - 919*u**3 + 22*u**2 + 23*u**2 - 15*u**4 + 909*u**3 = 0. What is u?
-2, -2/3, 1
Let a be (-42)/(-3) - (14 + 64/(-80)). Determine s so that -a + 42/5*s**2 + 82/5*s = 0.
-2, 1/21
Let h(u) be the third derivative of -u**8/392 - 239*u**7/735 - 619*u**6/420 - 229*u**5/210 + 11*u**4/6 - 2*u**2 - 127. Solve h(t) = 0.
-77, -2, -1, 0, 1/3
Factor 56/11*p - 192/11 - 2/11*p**2.
-2*(p - 24)*(p - 4)/11
Let p(c) = 14*c**3 - 6350*c**2 + 12603*c - 6311. Let r(n) = 3*n**3 - 1270*n**2 + 2521*n - 1262. Let y(a) = -2*p(a) + 11*r(a). Find l, given that y(l) = 0.
1, 252
Let y(r) be the first derivative of 0*r + 1/76*r**4 + 1/285*r**5 + 0*r**2 + 30 + 7/3*r**3 + 1/3420*r**6. Let u(n) be the third derivative of y(n). Factor u(b).
2*(b + 1)*(b + 3)/19
Suppose 32*y - 8 = 28*y. Factor 11*i + 10 - 9*i + 7*i**2 + 0*i**3 - y*i**3 - 17*i**2.
-2*(i - 1)*(i + 1)*(i + 5)
Determine o so that -28/11*o - 32/11*o**3 + 16 - 114/11*o**2 - 2/11*o**4 = 0.
-11, -4, -2, 1
Suppose 0 = -1928*q + 29*q. Suppose 1/4*j**3 + 0 - 1/4*j**5 - 9/4*j**4 + q*j + 9/4*j**2 = 0. Calculate j.
-9, -1, 0, 1
Let w(v) be the second derivative of -15/4*v**4 + 5/8*v**5 - 10/3*v**3 + 0 + 0*v**2 + 23*v. Suppose w(h) = 0. Calculate h.
-2/5, 0, 4
Let p(q) = 24*q**4 - 5*q**3 - 65*q**2 + 54*q - 4. Let b(i) = 2*i**3 - i**2 + i - 4. Let j(o) = -2*b(o) - p(o). Suppose j(m) = 0. What is m?
-2, 3/8, 2/3, 1
Let y be (-6 - -30) + 11808/(-615). Factor -y - 27/5*i - 3/5*i**2.
-3*(i + 1)*(i + 8)/5
Let x(h) be the second derivative of -h**7/1680 - h**6/540 + h**5/180 + 13*h**3/2 + h - 1. Let y(j) be the second derivative of x(j). Let y(z) = 0. What is z?
-2, 0, 2/3
Let k(r) be the third derivative of 40*r**2 - r**3 - 1/315*r**7 - 11/45*r**5 + 0*r + 0 + 2/45*r**6 + 2/3*r**4. Factor k(l).
-2*(l - 3)**2*(l - 1)**2/3
Let h(a) be the third derivative of a**6/120 + 7*a**5/60 + a**4/2 + 2*a**3 - 6*a**2 - 1. Let q be h(-5). What is z in 3/4*z - 3/2 + 3/4*z**q = 0?
-2, 1
Suppose -3*r - 2*r = -5*t + 7395, -3*r + 3 = 0. Determine j, given that -16*j + t*j**2 + 1474*j**2 - 2956*j**2 = 0.
-8, 0
Let q(f) be the third derivative of f**8/26880 + f**7/2016 + f**6/360 + f**5/120 + f**4/2 - f**2 + 31*f. Let r(w) be the second derivative of q(w). Factor r(h).
(h + 1)*(h + 2)**2/4
Let v = -26 - -28. Let c be (1791/(-135) + 13)*-5. Factor 121/3*h**v + c + 44/3*h.
(11*h + 2)**2/3
Let t(l) = -l**2 - 2*l + 25. Let a be t(-5). What is k in -k**4 + 28*k**2 - 6*k**3 + 120*k - 145*k**2 + a*k**4 + 1200 - 6*k**4 = 0?
-4, 5
Let i(u) = -u**4 + u**3 - 2*u**2 + u. Let w(t) = t**5 + 34*t**4 + 493*t**3 + 2666*t**2 + 3971*t - 7168. Let v(n) = 12*i(n) - 4*w(n). Find a such that v(a) = 0.
-14, -8, 1
Let r(y) = 8*y + 23. Let o(j) = 9*j + 22. Let b(z) = 2*o(z) - 3*r(z). Let u be b(-5). Determine t so that u + 21*t - t - 4*t**2 - 5 = 0.
0, 5
What is q in -70/11*q**2 + 400/11*q + 4000/11 + 2/11*q**3 = 0?
-5, 20
Factor 440/7*z + 4/7*z**2 - 128.
4*(z - 2)*(z + 112)/7
Let t(m) be the first derivative of 2*m**4 + 70*m**3/3 - 696*m**2 - 1080*m - 5060. Factor t(b).
2*(b - 10)*(b + 18)*(4*b + 3)
Let x(g) = g**4 + 9*g**3 - 19*g**2 - 9*g. Let m(k) = k**4 + 8*k**3 - 18*k**2 - 10*k. Let a(d) = -6*m(d) + 5*x(d). Suppose a(h) = 0. What is h?
-5, -1, 0, 3
Let g be (42 + (-43382)/981)*8/(-10). Solve g*o + 10/3*o**3 + 0 + 52/9*o**2 = 0 for o.
-4/3, -2/5, 0
Suppose 1695*f + 45317 - 4*f**4 + 128*f**3 + 46723 + 697*f - 1076*f**2 - 93480 = 0. Calculate f.
1, 2, 9, 20
Let y(u) = 3*u**3 + u**2 - u. Suppose -43*g + 8 = -41*g, -q = -g + 10. Let k(x) = -20*x**3 - 8*x**2 + 8*x + 2. Let b(c) = q*y(c) - k(c). Factor b(s).
2*(s - 1)*(s + 1)**2
Suppose -3*s + 10*j = -130 + 44, 22 = -5*s - 4*j. Suppose 87/7*o - 75/7*o**3 - 45/7*o**s - 18/7 - 12/7*o**5 + 9*o**4 = 0. What is o?
-1, 1/4, 1, 2, 3
Suppose 29*h = 5*w + 32*h - 13, 2*w = 3*h + 22. Let v(r) = -30*r**2 + 151*r - 3. Let m be v(w). Let -80/3*f + 4/3*f**m + 400/3 = 0. Calculate f.
10
Let l(y) = -y**2 - 19*y - 10. Let j be ((-5)/(100/24))/((-4)/110). Let p(d) = -j - 56*d + 158*d**2 + 3 - 162*d**2. Let w(f) = 11*l(f) - 4*p(f). Factor w(m).
5*(m + 1)*(m + 2)
Suppose 12 = -19*w + 23*w. Find q such that -10*q**2 + 6*q**5 + 20*q**4 + 3*q**5 - 3*q**5 - 5*q**w + 9*q**5 = 0.
-1, 0, 2/3
Let c(r) be the third derivative of -r**7/42 - 3*r**6/8 + 35*r**5/4 + 1165*r**4/24 + 100*r**3 - 301*r**2. Factor c(o).
-5*(o - 8)*(o + 1)**2*(o + 15)
Let r = -322766 - -322768. Determine v, given that 375000/19*v**3 + 162/19 + 781250/19*v**4 + 67500/19*v**r + 5400/19*v = 0.
-3/25
Let r = 177 + -141. Determine w so that 13*w + r*w + 20*w + 20*w**2 - 4*w**3 - 12*w + 39*w = 0.
-3, 0, 8
Let f(q) = -q**3 + 36*q**2 + 75*q + 40. Let n be f(38). Solve -21*j**3 - n*j + 2*j + 5*j + 16*j**3 = 0.
-1, 0, 1
Let b = -49159/5 + 9832. Suppose -9/5 + 9/5*k**2 - b*k**3 + 1/5*k = 0. Calculate k.
-1, 1, 9
Let l be ((-51)/(12597/38))/((-12)/156). Factor -152/3*w - 2888/3 - 2/3*w**l.
-2*(w + 38)**2/3
Suppose 29*b = 13*b + 64. Let q be (2/(-20))/(b/(-20 - -4)). Factor 4/5*i**3 + 0 - q*i**5 + 0*i**4 + 0*i**2 - 2/5*i.
-2*i*(i - 1)**2*(i + 1)**2/5
Suppose -5*z**3 - 3/2*z - 13/2*z**2 + 0 = 0. What is z?
-1, -3/10, 0
Let h(a) be the first derivative of -2*a**3 - 1283*a**2 + 856*a - 13065. Solve h(r) = 0.
-428, 1/3
Let x(o) = -o**2 + 28*o - 177. Let j be x(18). Let v(r) be the second derivative of 0*r**5 + 5/12*r**4 + 0*r**2 - 12*r - 1/6*r**6 + 0*r**j + 0. Factor v(s).
-5*s**2*(s - 1)*(s + 1)
Find z, given that -248/3 - 236/9*z**4 - 488/3*z**3 + 2/9*z**5 - 2474/9*z - 2956/9*z**2 = 0.
-3, -1, 124
Let q = 15743/10 + -1574. Let o(x) be the second derivative of -5*x - 3/25*x**5 + 0 + q*x**2 + 1/50*x**6 - 2/5*x**3 + 3/10*x**4. Solve o(t) = 0 for t.
1
Let u = -6/74551 - -521875/223653. Solve 1/6*i**4 + 68/3*i + 40/3 + u*i**3 + 23/2*i**2 = 0.
-5, -4, -1
Let n(l) = -15*l + 136. Let d(c) = -10*c + 91. Let r(k) = 7*d(k) - 5*n(k). Let j be r(9). Factor 2*s**3 - 2*s**3 - 5*s**3 - 35*s**j + 40*s.
-5*s*(s - 1)*(s + 8)
Suppose -64*r + 119*r - 72*r + 177 = 42*r. Find u such that 2/13*u**4 + 176/13*u + 102/13*u**2 + 96/13 + 24/13*u**r = 0.
-4, -3, -1
Let z(b) be the first derivative of 11*b**3/2 - 549*b**2/4 - 102*b + 1112. Factor z(k).
3*(k - 17)*(11*k + 4)/2
Let q(b) = -b + 10. Let d be q(-2). Determine g so that 12 + 29*g - d*g + 10*g + 2906*g