f -70 + 0*z**2 + 2/5*z**4 + 0*z + 4/15*z**3 - 12/25*z**5. Let t(k) = 0. Calculate k.
-1/3, 0, 1
Let d(m) = 3*m**2 - 31*m - 30. Let t(a) = -46*a**2 + 94*a**2 - 239 - 23*a**2 - 248*a. Let y(z) = -51*d(z) + 6*t(z). Determine j so that y(j) = 0.
-1, 32
Suppose 48*k + 10284 = 10380. Let v(r) be the first derivative of 0*r + 11 - 1/24*r**4 - 1/9*r**3 + 0*r**k. Suppose v(a) = 0. What is a?
-2, 0
Let c = 883 + -887. Let f be ((-84)/18 + 5)*(-3)/c. Determine l, given that 1/4 + 1/4*l**3 - 1/4*l - f*l**2 = 0.
-1, 1
Let z(j) be the first derivative of -j**3/15 - 83*j**2/10 - 48*j + 1370. Factor z(u).
-(u + 3)*(u + 80)/5
Let b(y) be the second derivative of -y**4/4 + 149*y**3/2 + 684*y**2 - 5841*y. Let b(s) = 0. What is s?
-3, 152
Suppose 2*l = -6*q + 32, 2*l - q = -8 + 12. Let o(d) be the first derivative of -3/4*d**2 + 16 + 0*d**3 + d + 1/8*d**l. Factor o(g).
(g - 1)**2*(g + 2)/2
Let k(n) = -18*n**2 - 15*n + 37. Let b(u) = 14*u + 61. Let y be b(-4). Let h(d) = -11*d**2 - 7*d + 18. Let c(q) = y*h(q) - 3*k(q). Determine o so that c(o) = 0.
3, 7
Let t(m) = -5*m**2 + 47*m - 80. Let a be t(7). Let p(s) be the second derivative of -1/12*s**a - 1/2*s**2 - 10*s + 0 + 1/3*s**3. Factor p(c).
-(c - 1)**2
Let n(z) = -8*z**2 + 380*z - 1229. Let i be n(44). Factor 13/2*s**2 + 0 + 78*s**4 - 1/4*s - 193/4*s**i - 36*s**5.
-s*(s - 1)**2*(12*s - 1)**2/4
Factor -1844/17*d**3 - 2/17*d**5 + 608350/17 + 163990/17*d + 118/17*d**4 - 3956/17*d**2.
-2*(d - 23)**3*(d + 5)**2/17
Let o = -187228 - -187230. Factor -2/7*c - 2/7*c**o + 40/7.
-2*(c - 4)*(c + 5)/7
Suppose 0*z - 3*z - 30 = -3*g, 0 = -4*g + z + 28. Suppose -5 = -4*m + 5*h, -5 = -4*m - h - g. Find o, given that 5/2*o**2 + 0 + m*o**3 + 0*o - 5/2*o**4 = 0.
-1, 0, 1
Suppose 0 = 135*p - 87*p. Let c(z) be the first derivative of 1/5*z**5 - 20 + p*z**2 - 1/3*z**3 + 1/8*z**4 - 1/12*z**6 + 0*z. Find b such that c(b) = 0.
-1, 0, 1, 2
Let n be (-12)/(1111/8400 + 74/(-555)). Let q be (-35)/6*n/(-392). Solve 6250/3*x - 6250/3 + 2/3*x**5 - 2500/3*x**2 + q*x**3 - 50/3*x**4 = 0.
5
Let t = 338/2375741 + 26953371056/12555791185. Let d = -3/755 + t. Let -9/7 + d*a + 3/7*a**4 + 3/7*a**5 + 6/7*a**2 - 18/7*a**3 = 0. Calculate a.
-3, -1, 1
Let j(n) be the first derivative of -104/7*n**2 - 25/14*n**4 + 39 + 290/21*n**3 + 40/7*n. Find y, given that j(y) = 0.
2/5, 5
Suppose 0 = j + f + 53 - 54, -7 = -3*j + f. Let b(t) = t - 5. Let o be b(5). Determine k, given that o*k - 2 - 5*k + 0 + k - j*k**2 = 0.
-1
Find u, given that 0 - 59*u**3 - 7744/3*u - 2640*u**2 - 1/3*u**4 = 0.
-88, -1, 0
Let v(i) be the third derivative of -i**5/15 + i**4/3 + 2*i**3 + 5*i**2 + 15*i. Find l such that v(l) = 0.
-1, 3
Suppose -326 + 986 = 30*k. Factor 21 + 110*u - 4*u**2 + 13 - 118 - k*u.
-4*(u - 21)*(u - 1)
Let h(m) = -m**3 + 3*m**2 + m - 2. Let i be h(2). Factor -c - c**5 - i*c**2 - 2*c - 12*c**3 + 6*c**3 - 4*c**4 + 2*c.
-c*(c + 1)**4
Factor 6579*c + 2964*c - 369*c**2 - 6023*c + 3840 + 54*c**2 + 5*c**3.
5*(c - 48)*(c - 16)*(c + 1)
Suppose 3*t - 2*v - v = 273, v = 3*t - 277. Factor 12*r**4 - 48*r - 75*r**3 - t + 7*r**3 + 151 + 120*r**2 - 90.
4*(r - 2)**3*(3*r + 1)
Let q(m) be the third derivative of -11/60*m**5 - 1/420*m**7 - 1/2*m**4 + 40*m**2 - 3/4*m**3 + 0 + 0*m - 1/30*m**6. Find w such that q(w) = 0.
-3, -1
Let h(z) be the second derivative of -231*z + 0*z**5 + 0*z**2 + 2/165*z**6 + 1/33*z**3 + 0 - 1/231*z**7 - 1/33*z**4. Suppose h(r) = 0. What is r?
-1, 0, 1
Let j be ((-2449)/1422 + (-4)/(-18))*(-8)/6. Let f = 3563/6 + -593. Find l such that 1/6*l**j + f*l + 2/3 = 0.
-4, -1
Let f(z) be the second derivative of -1/10*z**6 + 0*z**2 + 3/14*z**7 - 9/20*z**5 + 0*z**3 + 1/4*z**4 - 3*z + 6. Determine r so that f(r) = 0.
-1, 0, 1/3, 1
Let u(b) be the first derivative of b**3 - 3/2*b**2 - 127 + 3/4*b**4 + 0*b - 3/5*b**5. Factor u(a).
-3*a*(a - 1)**2*(a + 1)
Let n(j) be the first derivative of 0*j - 2 + 3/2*j**4 - 1/2*j**6 + 9/5*j**5 + 12*j**2 - 12*j**3. Let n(k) = 0. What is k?
-2, 0, 1, 2
Suppose 2*s - 2 = 0, 0 = 4*n + 5*s - 202 + 629. Let c be n/(-8) + (-3)/(-18)*3. Factor -4*x**5 - 17*x**2 + 28*x + 50 + 24*x**3 - c - 12*x**4 + 57*x**2 - 112*x.
-4*(x - 1)**3*(x + 3)**2
Suppose 360 = -20*t, -2*y + t = -5*y + 2*y + 162. Suppose y + 5/4*a**2 - 30*a = 0. Calculate a.
12
Let p(t) = -7*t**3 + 59*t**2 + 513*t + 459. Let w(f) = 17*f**3 - 117*f**2 - 1027*f - 921. Let u(y) = -7*p(y) - 3*w(y). Factor u(c).
-2*(c + 1)*(c + 15)**2
Let j(r) be the second derivative of 15*r**7/14 + 5*r**6 - 97*r**5/2 + 305*r**4/3 - 515*r**3/6 + 35*r**2 + 2680*r. Determine o, given that j(o) = 0.
-7, 1/3, 1, 2
Let r(l) be the third derivative of l**8/448 + 163*l**7/840 + 87*l**6/80 + 103*l**5/40 + 307*l**4/96 + 17*l**3/8 - 28*l**2 + 25. Suppose r(z) = 0. What is z?
-51, -1, -1/3
Let n(t) be the third derivative of t**7/1575 - t**6/6 + 673*t**5/50 - 180*t**4 + 5184*t**3/5 - 6*t**2 - 58. Let n(r) = 0. Calculate r.
3, 72
Let n(l) be the second derivative of l**5/160 + 5*l**4/48 + l**3/3 - 1912*l. Factor n(r).
r*(r + 2)*(r + 8)/8
Let h(o) = 31*o**4 - 67*o**3 - 18*o**2 - 36*o + 13. Let n(j) = 11*j**4 - 25*j**3 - 6*j**2 - 12*j + 4. Let g(u) = 4*h(u) - 11*n(u). What is b in g(b) = 0?
-2, 2/3, 1
Find s, given that -202 + 20*s**4 + 132*s - 69*s**3 + 4*s**5 - 67*s**3 - 171 + 88*s**2 + 265 = 0.
-9, -1, 1, 3
Let q = -126 - -28. Let z be (-6)/(-4) + 147/q. Factor z + 4/5*u - 4/5*u**2.
-4*u*(u - 1)/5
Let r(h) be the first derivative of -h**3/5 + 1854*h**2/5 - 1145772*h/5 - 584. Determine k so that r(k) = 0.
618
Let l(j) be the second derivative of 7*j**4/3 + 662*j**3/3 + 188*j**2 + 4*j + 1. Suppose l(x) = 0. Calculate x.
-47, -2/7
Let q be ((-2610)/1566)/((-30)/(-36)*(2 + -12)). Factor q*j**3 + 12/5 - 1/5*j - 12/5*j**2.
(j - 12)*(j - 1)*(j + 1)/5
Let v = -25 - -31. Let z be -6*(-7)/v - 5. Factor -2 - a - 1/8*a**z.
-(a + 4)**2/8
Let c(r) be the third derivative of r**7/42 - 91*r**6/24 + 957*r**5/4 - 172405*r**4/24 + 243890*r**3/3 + 30*r**2 + 30. Factor c(z).
5*(z - 29)**3*(z - 4)
Suppose -167*d + 3*u = -166*d - 51, -u = -2 + 19. Factor d + 1/4*j**2 - 3/2*j.
j*(j - 6)/4
Let i = -33 + -7. Let p = 43 + i. Let 23*z**2 - 12 - 15*z**p + 6*z - 26*z + 10*z**3 = 0. What is z?
-2/5, 2, 3
Let i(n) be the second derivative of n**4/48 - 845*n**3/6 + 714025*n**2/2 - 3706*n. Solve i(m) = 0.
1690
Factor 2/9*g**4 + 0 - 34/9*g**3 - 80/9*g - 116/9*g**2.
2*g*(g - 20)*(g + 1)*(g + 2)/9
Let p(h) be the second derivative of -h**5/20 + 4*h**4 - 120*h**3 + 1728*h**2 + 5704*h. Factor p(n).
-(n - 24)*(n - 12)**2
Let q(v) = -1788*v + 1792. Let h be q(1). Factor -34/9*o + 2/9*o**2 - h.
2*(o - 18)*(o + 1)/9
Let j be (-2 - (-20)/8)/((-11)/(-44)). Determine b, given that -81*b**j - 1061 + 5*b**3 + 701 + 285*b + 11*b**2 = 0.
3, 8
Find d such that -2/3*d**2 - 3456 + 96*d = 0.
72
Suppose 17903 = 331*m + 16910. Suppose -7*a**4 - 346/9*a**m - 20/9 + 136/9*a - 127/9*a**2 = 0. What is a?
-5, -1, 2/9, 2/7
Let z be 925/(-74) - (0 - 17). Determine k, given that 5 - 19/2*k + z*k**2 = 0.
1, 10/9
Factor -7*t**2 + 8*t**2 + 736*t - 1062 + 25*t + 298*t + 2*t**2.
3*(t - 1)*(t + 354)
Suppose 55*b - 129 = 12*b. Let 59*w**3 - 27 + 65*w**3 + 27*w - 194*w**3 + 3*w**2 + 67*w**b = 0. Calculate w.
-3, 1, 3
Suppose -2*t + 7 = 5*w, -3*t - 16 = 3*w - 31. Let b be t*13/(650/15). Factor -2/5*h - 12/5*h**3 + b*h**2 + 0 + h**4.
h*(h - 1)**2*(5*h - 2)/5
Suppose -3*u - 24 = -9*u. Let p(r) = -6*r**2 - 15 + u*r + 9*r**3 + 0*r**3 + 8. Let f(t) = 9*t**3 - 6*t**2 + 3*t - 6. Let z(w) = 7*f(w) - 6*p(w). Solve z(b) = 0.
-1/3, 0, 1
Let o(n) be the third derivative of -30*n**3 - n**2 + 5*n**4 + 0 + 1/24*n**6 + 0*n + 11/12*n**5. Factor o(c).
5*(c - 1)*(c + 6)**2
Let a(x) = x**3 + 8*x**2 - 30*x - 16. Let k be a(-10). Factor 47*n**3 - k*n + 36 - 2*n**3 + 4*n**2 - 9*n**3 + 10*n**4 - 2*n**4.
4*(n - 1)*(n + 3)**2*(2*n - 1)
Let z = 5/78 + -1315/2262. Let n = 11/203 - z. Solve -24/7*v - n*v**2 + 0 = 0.
-6, 0
Let t be -2 - (-209)/(-210) - 24/16*-2. Let x(f) be the second derivative of -t*f**5 + 1/21*f**4 + 0 + 8/21*f**2 - 4/21*f**3 - 3*f. Let x(v) = 0. Calculate v.
2
Let f(o) be the first derivative of -o**3/15 - 57*o**2 - 16245*o - 899. Determine u so that f(u) = 0.
-285
Let a be 18/(-4) - (43 + 61 - 128). Suppose 1/4*k**2 + a*k + 1521/4 = 0. Calculate k.
-39
Find u, given that 509 - 6*u**4 + 3812*