r f.
-1, 0, 2/3, 1
Let f(p) be the first derivative of 9/4*p**2 - 15*p + 1/2*p**3 + 17. Solve f(h) = 0 for h.
-5, 2
Factor -232 + 1/2*x**3 - 288*x - 111/2*x**2.
(x - 116)*(x + 1)*(x + 4)/2
Let o(b) be the third derivative of 4*b**7/735 - b**6/70 - 16*b**5/105 - 5*b**4/14 - 8*b**3/21 - 71*b**2. Determine x, given that o(x) = 0.
-1, -1/2, 4
Factor 66603/7 + 897/7*x**2 + 67497/7*x + 3/7*x**3.
3*(x + 1)*(x + 149)**2/7
Let p = 14382 - 14382. Let i(m) be the third derivative of 11*m**2 + 1/40*m**6 - 3/20*m**5 + 1/4*m**4 + 0 + 0*m**3 + p*m. What is j in i(j) = 0?
0, 1, 2
Let g = 37041/4303 - 2391/331. Determine l, given that -g - 2/13*l**2 + 12/13*l = 0.
3
Let h(p) = -7*p - 89. Let a be h(-15). Factor -2*s**2 + 2*s + 21 - a + 6*s**2 - 7.
2*(s + 1)*(2*s - 1)
Let b = -17407 + 574435/33. Let w(p) be the second derivative of 0*p**2 + 1/110*p**5 - b*p**3 + 1/165*p**6 - 2/33*p**4 + 0 - 24*p. Let w(i) = 0. What is i?
-2, -1, 0, 2
Let d be -2 + -8 - 13640/(-55). Let i be (-5)/3 + (0 - d/(-105)). Suppose 12/5*m**2 - 9/5*m**4 + 0*m**3 + 0*m + i*m**5 + 0 = 0. Calculate m.
-1, 0, 2
Let z = -247 - -250. Find s such that -5*s**3 - 21*s**2 + 36 + 2*s**z + 9*s**3 + 12*s - 3*s**3 = 0.
-1, 2, 6
Suppose -15 = -3*y - 2*y. Suppose 2*g - 20 = -y*j, 4*g - 15 - 17 = -4*j. Solve 12*p**j + 66*p**3 + 21*p + 11*p**5 - 2*p**5 + 27*p**4 + 61*p**2 + 3 - 7*p**2 = 0.
-1, -1/3
Let a(m) be the third derivative of m**7/840 + 13*m**6/120 + 3*m**5 - 50*m**4/3 + 35*m**3/3 + 27*m**2. Let g(n) be the first derivative of a(n). Factor g(u).
(u - 1)*(u + 20)**2
Let l(f) be the second derivative of f**4/4 - 101*f**3/2 - 963*f**2 + 7438*f. Find w, given that l(w) = 0.
-6, 107
Let k be 137309/366520 + 9/(-24). Let j = k - -86249/24255. Factor 2/9*z**2 + 16/9*z + j.
2*(z + 4)**2/9
Let m be -2*(0 + -2 - 113). Suppose m = 16*w - 11*w. Factor 108*v - w*v**2 + 4*v**3 + 39*v**2 + 67*v**2 + 52.
4*(v + 1)**2*(v + 13)
Let m(q) = -4*q - 48. Let n be 2/(-5) - (-638)/(-55). Let f be m(n). Factor 2*l**3 - 13*l**3 + 5*l**3 + 2*l**4 + f*l**4.
2*l**3*(l - 3)
Let a(s) be the first derivative of -2*s**4 + 836*s**3 - 2505*s**2/4 + 313*s/2 - 3076. Find i such that a(i) = 0.
1/4, 313
Let i(v) be the second derivative of -v**5/100 - 53*v**4/60 - 29*v**3/3 - 188*v**2/5 + 56*v - 8. Factor i(o).
-(o + 2)*(o + 4)*(o + 47)/5
Suppose -23*t + 114 = -4*t. Let p(k) = 8*k**2 + 16*k + 6. Let z(o) = -23*o**2 - 47*o - 19. Let g(h) = t*z(h) + 17*p(h). Factor g(x).
-2*(x + 2)*(x + 3)
Let h(j) be the third derivative of -j**5/75 + 26*j**4/15 - 1064*j**3/15 - j**2 - 223. What is w in h(w) = 0?
14, 38
Let u be 132/154*-7 + 8. Let z(f) be the second derivative of -26*f + 0 + 0*f**u - 1/40*f**5 - 1/60*f**6 + 1/24*f**4 + 1/12*f**3. Determine r so that z(r) = 0.
-1, 0, 1
Let c(d) be the first derivative of 13/15*d**3 - 12/5*d - 1/5*d**4 - 2/5*d**2 + 258. Let c(x) = 0. What is x?
-3/4, 2
Let q be (-1 + 7/(-21))/(9 + (-198)/77 + -7). Determine s so that -q*s**4 + 37/3*s**3 - s**2 - 37/3*s + 10/3 = 0.
-1, 2/7, 1, 5
Let b be 54/(-12)*(8*3/(-27) + 0). Let t(l) be the second derivative of 1/3*l**b + 0 - l + 0*l**2 - 1/5*l**5 + 0*l**3 + 1/30*l**6. Solve t(k) = 0.
0, 2
Let o(z) be the third derivative of -z**7/945 - z**6/90 + 61*z**5/270 - 7*z**4/6 + 8*z**3/3 + 516*z**2. Suppose o(w) = 0. What is w?
-12, 1, 2, 3
Let y(p) = 6*p + 105. Let f be y(-19). Let v be f/30*(24/(-9) + 1). What is z in 0*z**4 + 2/3*z**3 - 1/6*z**5 - 1/3*z**2 - v*z + 1/3 = 0?
-2, -1, 1
Let q(i) be the second derivative of i**5/220 + 3*i**4/44 - 7*i**3/22 + i**2/2 + 53*i - 32. Factor q(x).
(x - 1)**2*(x + 11)/11
Let r(z) be the third derivative of z**6/600 - z**5/25 - z**4/8 + 13*z**3/15 + 2643*z**2. Let r(j) = 0. What is j?
-2, 1, 13
Let d(c) be the second derivative of -c**5/270 + c**4/54 + c**3/9 + 3*c**2/2 - 98*c. Let t(h) be the first derivative of d(h). Factor t(j).
-2*(j - 3)*(j + 1)/9
Let j(z) be the third derivative of -z**8/392 + z**7/735 + z**6/60 - z**5/210 - z**4/21 - z**2 - 754. Suppose j(l) = 0. Calculate l.
-1, 0, 1, 4/3
Let l be (9 - 117/15)/(((-4)/35)/((-2)/14)). Suppose -9/2*t**4 - 9/2*t**3 + 21/2*t**2 + 0 + l*t**5 + 9*t = 0. Calculate t.
-1, 0, 2, 3
Let q(t) be the first derivative of -27*t + 4/3*t**3 + 23/2*t**2 - 235. Factor q(o).
(o - 1)*(4*o + 27)
Let h be (24/(-84))/(54/210) + 10/9. Factor 1/5*c + h - 1/5*c**2.
-c*(c - 1)/5
Let j(w) be the third derivative of -3*w**7/70 + 203*w**6/8 + 681*w**5/20 - 1015*w**4/8 - 339*w**3 + 578*w**2 - 3. Determine m so that j(m) = 0.
-1, -2/3, 1, 339
Let 64 + 111/2*l**2 - 1/2*l**4 - 5*l**3 + 124*l = 0. Calculate l.
-16, -1, 8
Let v(f) be the third derivative of -113*f**6/270 - 38*f**5/45 - f**4/54 - 4852*f**2. Factor v(q).
-4*q*(q + 1)*(113*q + 1)/9
Let s = 1408 - 1400. Let t(h) be the second derivative of 1/120*h**6 - 2*h**2 + 1/20*h**5 + 0 + 0*h**4 - 2/3*h**3 - s*h. Factor t(u).
(u - 2)*(u + 2)**3/4
Let s(t) be the second derivative of 9/70*t**5 - 1/105*t**6 - 18/7*t**2 + 0 - 140*t + 13/7*t**3 - 29/42*t**4. Suppose s(f) = 0. Calculate f.
1, 2, 3
Let d(a) = 11*a**2 - 18*a + 80. Let k(j) = -5*j**2 + 7*j - 40. Let w(y) = -6*d(y) - 13*k(y). Let q be w(19). Factor 3/2*b**q + 3 - 9/2*b.
3*(b - 2)*(b - 1)/2
Let s(p) = -4*p**2 + 2*p + 6. Let a(y) = 4*y**2 - y - 6. Let f(o) = -2*a(o) - 3*s(o). Let w be f(-1). Factor 3/5*u**w - 6/5*u + 0.
3*u*(u - 2)/5
Let g(r) be the second derivative of 3*r**7/98 - r**6/35 - 9*r**5/28 + 5*r**4/14 + 6*r**3/7 - 12*r**2/7 + 1621*r. What is k in g(k) = 0?
-2, -1, 2/3, 1, 2
Let x = -4009796/13 - -308446. Factor -10/13*d + 0 + x*d**2.
2*d*(d - 5)/13
Let j(k) = -20*k**2 + 1385*k + 7975. Let h(z) = -13*z**2 + 692*z + 3987. Let d(b) = -5*h(b) + 3*j(b). Factor d(u).
5*(u + 6)*(u + 133)
Let d(h) = -28*h - 19. Suppose -7*y + 6*y - 2 = 0. Let p be d(y). Solve 3*x**4 + 37 - 15*x**3 - p + 2*x**4 = 0.
0, 3
Let w(g) = 411*g**2 - 2*g + 87. Let d be w(10). Find a such that -41167*a + d*a + a**2 = 0.
0
Let r(b) be the second derivative of -2 + 1/28*b**4 - 62*b + 0*b**2 - 23/14*b**3. Find c such that r(c) = 0.
0, 23
Let r be -1*(0 + 2) + (-7 - -9). Suppose r = 10*i - 3*i - 14. Factor 9*u**i + 0*u - 18*u**2 - u + 7*u.
-3*u*(3*u - 2)
Suppose 4 - 184 + 11 - 4*m**3 + 56*m**2 - 130*m + 14*m - 7 = 0. Calculate m.
-1, 4, 11
Suppose 0 = -10*t + 42 - 2. Let r be t/6 - -1*(0 - -16). Let -20/3*w + r + 2/3*w**2 = 0. What is w?
5
Let i(a) be the second derivative of 31827/2*a**2 - 131*a + 1/4*a**4 + 1 + 103*a**3. What is x in i(x) = 0?
-103
Let k(q) be the first derivative of q**5/4 - 1155*q**4/16 - 585*q**3/2 + 3467. Factor k(r).
5*r**2*(r - 234)*(r + 3)/4
Let j(i) be the first derivative of -i**5/30 - i**4/12 + i**2/6 + i/6 - 2188. Suppose j(o) = 0. What is o?
-1, 1
Let v(x) be the first derivative of -2*x**3/15 + 23*x**2/5 + 2256*x/5 + 491. Solve v(g) = 0 for g.
-24, 47
Let a = 6993/8 + -874. Let t(s) be the second derivative of -12*s**2 + 0 - a*s**4 + 14*s - 2*s**3. Factor t(i).
-3*(i + 4)**2/2
Let g(l) be the first derivative of l**4/12 - 256*l**3/9 + 509*l**2/6 - 254*l/3 + 2264. Find n, given that g(n) = 0.
1, 254
Suppose 29 = 29*d - 58. Find f such that -214*f - 20*f**2 - 8 - 2 - 5*f**d + 189*f = 0.
-2, -1
Let k(n) be the second derivative of 2 + 1/6*n**4 + 40/3*n**3 + n + 400*n**2. Suppose k(x) = 0. What is x?
-20
Suppose 18 = -6*o - 0. Let v be o*(1 - 5/3). Find k such that 4*k**2 + 2*k**5 - 2*k**3 - 19*k**4 + 2*k**3 + 15*k**4 - v*k = 0.
-1, 0, 1
Let z(a) be the second derivative of 5*a**4/4 + 71*a**3/7 + 12*a**2/7 - 10*a - 36. Let z(v) = 0. Calculate v.
-4, -2/35
What is w in 5/3*w**4 + 7/3*w**2 + 0 + 23/6*w**3 + 0*w + 1/6*w**5 = 0?
-7, -2, -1, 0
Let l = -26256 + 26256. Let z(n) be the third derivative of -1/480*n**5 + 7/96*n**4 + l*n - 49/48*n**3 - 39*n**2 + 0. Solve z(g) = 0.
7
Let z be (-2652)/(-5780) + (-9)/153. Solve z*y**3 + 12/5*y + 2*y**2 + 0 = 0 for y.
-3, -2, 0
Let d(n) be the first derivative of 5*n**4/4 - 170*n**3/3 - 2423. Factor d(m).
5*m**2*(m - 34)
Suppose 8*h = 3*h - 13770. Let z be h/(-72) + (-1)/4. Let -24*r**2 + 3*r**5 - 12*r - 26*r**3 + 6*r**4 - z*r**3 + 55*r**3 = 0. Calculate r.
-2, -1, 0, 2
Let h(x) be the first derivative of -4*x**3/21 - 576*x**2/7 + 1156*x/7 - 2105. Find z, given that h(z) = 0.
-289, 1
Let i(f) be the third derivative of 2*f - 1/600*f**5 - 1/40*f**4 + 7*f**2 + 7/60*f**3